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Chapter 4: Parametric Graphing

136

Defining and Displaying Parametric Graphs

Defining and Displaying Parametric Graphs

Defining and Displaying Parametric Graphs

Defining and Displaying Parametric Graphs

TI-84 Plus Graphing Mode Similarities

TI-84 Plus Graphing Mode Similarities

TI-84 Plus Graphing Mode Similarities

TI-84 Plus Graphing Mode Similarities

The steps for defining a parametric graph are similar to the steps for defining a function
graph. Chapter 4 assumes that you are familiar with Chapter 3: Function Graphing.
Chapter 4 details aspects of parametric graphing that differ from function graphing.

10. Press

s

. The plotting action simultaneously

shows the ball in flight and the vertical and
horizontal component vectors of the motion.

Note:

To simulate the ball flying through the air, set

graph style to

ì

(animate) for

X1T

and

Y1T

.

11. Press

r

to obtain numerical results and

answer the questions at the beginning of this
section.

Tracing begins at

Tmin

on the first parametric

equation (

X1T

and

Y1T

). As you press

~

to trace

the curve, the cursor follows the path of the ball
over time. The values for

X

(distance),

Y

(height),

and

T

(time) are displayed at the bottom of the

screen.

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Содержание -84 Plus

Страница 1: ...TI 84 Plus TI 84 Plus Silver Edition Guidebook...

Страница 2: ...event shall Texas Instruments be liable to anyone for special collateral incidental or consequential damages in connection with or arising out of the purchase or use of these materials and the sole a...

Страница 3: ...e instructions may cause harmful interference to radio communications However there is no guarantee that interference will not occur in a particular installation If this equipment does cause harmful i...

Страница 4: ...nstructions and examples in this guidebook also work for the TI 84 Plus All the functions of the TI 84 Plus Silver Edition and the TI 84 Plus are the same The two graphing calculators differ only in a...

Страница 5: ...Silver Edition 2 Scientific Scientific calculator keys access the capabilities of a standard scientific calculator TI 84 Plus TI 84 Plus TI 84 Plus TI 84 Plus Graphing Keys Editing Keys Advanced Funct...

Страница 6: ...y is printed on the keys For example when you press the MATH menu is displayed Using the Using the Using the Using the y and and and and Keys Keys Keys Keys The secondary function of each key is print...

Страница 7: ...ulator Turning On the Graphing Calculator Turning On the Graphing Calculator Turning On the Graphing Calculator To turn on the TI 84 Plus press If you previously had turned off the graphing calculator...

Страница 8: ...minutes without any activity Turning Off the Graphing Calculator Turning Off the Graphing Calculator Turning Off the Graphing Calculator Turning Off the Graphing Calculator To turn off the TI 84 Plus...

Страница 9: ...ht corner indicates the current level You may not be able to see the number if contrast is too light or too dark Note The TI 84 Plus has 40 contrast settings so each number 0 through 9 represents four...

Страница 10: ...l not operate Batteries must be replaced All memory should be retained Note The operating period following the first low battery message could be longer than two weeks if you use the graphing calculat...

Страница 11: ...to the beginning of the next line In numeric editors such as the window screen Chapter 3 a long expression scrolls to the right and left When an entry is executed on the home screen the answer is disp...

Страница 12: ...aracter If you press during an insertion the cursor becomes an underlined A A If you press y during an insertion the underlined cursor becomes an underlined Graphs and editors sometimes display additi...

Страница 13: ...t you customize the appearance of your unit To purchase additional faceplates refer to the TI Online Store at education ti com Removing a Faceplate Removing a Faceplate Removing a Faceplate Removing a...

Страница 14: ...the time and date select the clock display format and turn the clock on and off The clock is turned on by default and is accessed from the mode screen 1 Align the top of the faceplate in the correspon...

Страница 15: ...Press z 2 Press the to move the cursor to SET CLOCK 3 Press 1 Press the or to highlight the date format you want example M D Y Press 2 Press to highlight YEAR Press and type the year example 2004 3 P...

Страница 16: ...h the Catalog 7 Press to highlight MINUTE Press and type the minutes A number from 0 59 8 Press to highlight AM PM Press or to highlight the format Press 9 To Save changes press to select SAVE Press I...

Страница 17: ...Turning the Clock Off Turning the Clock Off 1 If the Clock is turned off Press to highlight TURN CLOCK ON 2 Press 1 If the Clock is turned off Press y N 2 Press or to scroll the CATALOG until the sele...

Страница 18: ...te an answer In most places where a value is required you can use an expression to enter a value Entering an Expression Entering an Expression Entering an Expression Entering an Expression To create a...

Страница 19: ...d together in last entry ENTRY Entering a Number in Scientific Notation Entering a Number in Scientific Notation Entering a Number in Scientific Notation Entering a Number in Scientific Notation To en...

Страница 20: ...ment sin value Instructions Instructions Instructions Instructions An instruction initiates an action For example ClrDraw is an instruction that clears any drawn elements from a graph Instructions can...

Страница 21: ...on on the home screen moves the cursor to the beginning of the expression On the bottom line of an expression on the home screen moves the cursor to the end of the expression y Moves the cursor to the...

Страница 22: ...tings y Changes the cursor to the next keystroke performs a 2nd operation an operation in blue above a key and to the left to cancel 2nd press y again Changes the cursor to the next keystroke pastes a...

Страница 23: ...llow these steps 1 Press or to move the cursor to the line of the setting that you want to change 2 Press or to move the cursor to the setting you want 3 Press Normal Sci Eng Numeric notation Float 01...

Страница 24: ...th up to 10 digits and a two digit exponent You can enter a number in any format Normal notation mode is the usual way we express numbers with digits to the left and right of the decimal as in 12345 6...

Страница 25: ...setting applies to these numbers An answer displayed on the home screen Coordinates on a graph Chapters 3 4 5 and 6 The Tangent DRAW instruction equation of the line x and dy dx values Chapter 8 Resu...

Страница 26: ...q Chapter 5 Seq sequence graphing mode plots sequences Chapter 6 Connected Dot Connected Dot Connected Dot Connected Dot Connected plotting mode draws a line connecting each point calculated for the...

Страница 27: ...qi polar complex mode displays complex numbers in the form re qi Full Horiz G T Full Horiz G T Full Horiz G T Full Horiz G T Full screen mode uses the entire screen to display a graph or edit screen...

Страница 28: ...ices lists functions stat plots graph databases graph pictures and strings The TI 84 Plus uses assigned names for variables and other items saved in memory For lists you also can create your own five...

Страница 29: ...ces lists and Y functions Chapter 3 From the home screen a program or an editor you can store a value to a matrix element or a list element You can use DRAW STO menu items to store and recall graph da...

Страница 30: ...at time is used To store a value to a variable from the home screen or a program using the key begin on a blank line and follow these steps 1 Enter the value you want to store The value can be an expr...

Страница 31: ...and paste the name L1 to the home screen you won t be able to see its contents or edit it until they are unarchived Recalling Variable Values Recalling Variable Values Recalling Variable Values Recal...

Страница 32: ...an edit the characters pasted to the expression without affecting the value in memory ENTRY Last Entry Storage Area ENTRY Last Entry Storage Area ENTRY Last Entry Storage Area ENTRY Last Entry Storage...

Страница 33: ...tes ENTRY only when you press you can recall the previous entry even if you have begun to enter the next expression Accessing a Previous Entry Accessing a Previous Entry Accessing a Previous Entry Acc...

Страница 34: ...ed it if you chose to edit it you can execute the entry To execute the last entry press To reexecute the displayed entry press again Each reexecution displays an answer on the right side of the next l...

Страница 35: ...as accurate as you want Clearing ENTRY Clearing ENTRY Clearing ENTRY Clearing ENTRY Clear Entries Chapter 18 clears all data that the TI 84 Plus is holding in the ENTRY storage area Using Ans in an E...

Страница 36: ...r square meter if the plot produces a total of 147 tomatoes Continuing an Expression Continuing an Expression Continuing an Expression Continuing an Expression You can use Ans as the first entry in th...

Страница 37: ...y combination to display a menu one or more menu names appear on the top line of the screen The menu name on the left side of the top line is highlighted Up to seven items in that menu are displayed b...

Страница 38: ...is irrelevant The menu is displayed with the cursor on the first item Displaying a Menu Displaying a Menu Displaying a Menu Displaying a Menu While using your TI 84 Plus you often will need to access...

Страница 39: ...menu items at a time press To page up six menu items at a time press The green arrows on the graphing calculator between and are the page down and page up symbols To wrap to the last menu item direct...

Страница 40: ...g the appropriate number key To move the cursor to the first item beginning with any alpha character or q press the key combination for that alpha character or q If no items begin with that character...

Страница 41: ...nu such as or y 9 Press a key or key combination for a different screen such as o or y 0 VARS and VARS Y VARS Menus VARS and VARS Y VARS Menus VARS and VARS Y VARS Menus VARS and VARS Y VARS Menus VAR...

Страница 42: ...econdary menus of the Y function variables Note The sequence variables u v w are located on the keyboard as the second functions of and To select a variable from the VARS or VARS Y VARS menu follow th...

Страница 43: ...m EOS Equation Operating System EOS Order of Evaluation Order of Evaluation Order of Evaluation Order of Evaluation The Equation Operating System EOS defines the order in which functions in expression...

Страница 44: ...rets 2p 4sin 46 5 1 2 and 2 5 7 as implied multiplication Note TI 84 Plus implied multiplication rules although like the TI 83 differ from those of the TI 82 For example the TI 84 Plus evaluates 1 2X...

Страница 45: ...r matrix Chapter 10 and specifies a value for which to solve the Y function Negation Negation Negation Negation To enter a negative number use the negation key Press and then enter the number On the T...

Страница 46: ...released free of charge as well as new applications and major software upgrades that will be available for purchase from the TI Web site education ti com For details refer to Chapter 19 1 5 Megabytes...

Страница 47: ...d area of memory separate from RAM The user data archive lets you Store data programs applications or any other variables to a safe location where they cannot be edited or deleted inadvertently Create...

Страница 48: ...quences Sequences Sequences Sequences You can generate sequences and graph them over time Or you can graph them as web plots or as phase plots For details refer to Chapter 6 Tables Tables Tables Table...

Страница 49: ...h formulas to lists for automatic computation You can use lists to evaluate expressions at multiple values simultaneously and to graph a family of curves For details refer to Chapter 11 Statistics Sta...

Страница 50: ...applications that came with your graphing calculator Documentation for TI Flash applications are on the product CD Visit education ti com calc guides for additional Flash application guidebooks For d...

Страница 51: ...k Communication Link Communication Link Communication Link The TI 84 Plus has a USB port using a USB unit to unit cable to connect and communicate with another TI 84 Plus or TI 84 Plus Silver Edition...

Страница 52: ...r Diagnosing an Error Diagnosing an Error Diagnosing an Error The TI 84 Plus detects errors while performing these tasks Evaluating an expression Executing an instruction Plotting a graph Storing a va...

Страница 53: ...t to the program Correcting an Error Correcting an Error Correcting an Error Correcting an Error To correct an error follow these steps 1 Note the error type ERR error type 2 Select 2 Goto if it is av...

Страница 54: ...ity of a coin flip resulting in heads is 0 5 and the probability of a coin flip resulting in tails is 0 5 1 Begin on the home screen Press to display the MATH PRB menu Press 7 to select 7 randBin rand...

Страница 55: ...that are valid for lists return a list calculated element by element If you use two lists in the same expression they must be the same length 3 Press or to view the additional counts in the list Ellip...

Страница 56: ...c Functions Trigonometric Functions You can use the trigonometric trig functions sine cosine and tangent with real numbers expressions and lists The current angle mode setting affects interpretation F...

Страница 57: ...and matrices You cannot use with matrices Inverse Inverse Inverse Inverse You can use L1 inverse with real and complex numbers expressions lists and matrices The multiplicative inverse is equivalent...

Страница 58: ...a constant on the TI 84 Plus Press y e to copy e to the cursor location In calculations the TI 84 Plus uses 2 718281828459 for e Negation Negation Negation Negation M negation returns the negative of...

Страница 59: ...e On the TI 84 Plus the negation symbol M is shorter and higher than the subtraction sign N which is displayed when you press Pi Pi Pi Pi p Pi y B is stored as a constant in the TI 84 Plus In calculat...

Страница 60: ...equivalent You can use 4Frac with real or complex numbers expressions lists and matrices If the answer MATH NUM CPX PRB 1 4Frac Displays the answer as a fraction 2 4Dec Displays the answer as a decima...

Страница 61: ...nswer in decimal form You can use 4Dec with real or complex numbers expressions lists and matrices You can only use 4Dec following value value 4Dec Cube Cube Cube Cube Cube Root Cube Root Cube Root Cu...

Страница 62: ...m return the value at which the local minimum or local maximum value of expression with respect to variable occurs between lower and upper values for variable fMin and fMax are not valid in expression...

Страница 63: ...iv is valid only for real numbers nDeriv expression variable value H nDeriv uses the symmetric difference quotient method which approximates the numerical derivative value as the slope of the secant l...

Страница 64: ...in a Y equation increase the value of the Xres window variable before you press s Using the Equation Solver Using the Equation Solver Using the Equation Solver Using the Equation Solver Solver Solver...

Страница 65: ...0 Solver from the MATH menu to display the equation editor 2 Enter the expression in any of three ways Enter the expression directly into the equation solver Paste a Y variable name from the VARS Y VA...

Страница 66: ...itor Entering and Editing Variable Values Entering and Editing Variable Values Entering and Editing Variable Values Entering and Editing Variable Values When you enter or edit a value for a variable i...

Страница 67: ...hese steps 1 Select 0 Solver from the MATH menu to display the interactive solver editor if not already displayed 2 Enter or edit the value of each known variable All variables except the unknown vari...

Страница 68: ...irst column marks the variable for which you solved and indicates that the equation is balanced An ellipsis shows that the value continues beyond the screen Note When a number continues beyond the scr...

Страница 69: ...Further Solutions Further Solutions Further Solutions Further Solutions After you solve for a variable you can continue to explore solutions from the interactive solver editor Edit the values of one...

Страница 70: ...t of expression for variable given an initial guess and lower and upper bounds within which the solution is sought The default for lower is L1 99 The default for upper is L1 99 solve is valid only for...

Страница 71: ...NUM Menu To display the MATH NUM menu press abs abs abs abs abs absolute value returns the absolute value of real or complex modulus numbers expressions lists and matrices abs value MATH NUM CPX PRB 1...

Страница 72: ...cimals is omitted value is rounded to the digits that are displayed up to 10 digits round value decimals iPart fPart iPart fPart iPart fPart iPart fPart iPart integer part returns the integer part or...

Страница 73: ...as the result of iPart for nonnegative numbers and negative integers but one integer less than the result of iPart for negative noninteger numbers min max min max min max min max min minimum value re...

Страница 74: ...gcd lcm gcd lcm returns the least common multiple of valueA and valueB both of which must be nonnegative integers When listA and listB are specified lcm returns a list of the lcm of each pair of elem...

Страница 75: ...mplex Numbers Entering and Using Complex Numbers Complex Number Modes Complex Number Modes Complex Number Modes Complex Number Modes The TI 84 Plus displays complex numbers in rectangular form and pol...

Страница 76: ...rectangular form but you can enter a complex number in rectangular form or polar form regardless of the mode setting The components of complex numbers can be real numbers or expressions that evaluate...

Страница 77: ...lts including list elements are displayed in either rectangular or polar form as specified by the mode setting or by a display conversion instruction In the example below polar complex re qi and Radia...

Страница 78: ...cognizes and displays a complex number in the form re qi where r is the magnitude e is the base of the natural log q is the angle and i is a constant equal to To enter a complex number in polar form e...

Страница 79: ...j conj conj conj conjugate returns the complex conjugate of a complex number or list of complex numbers conj a bi returns aNbi in a bi mode conj re qi returns re Lqi in re qi mode MATH NUM CPX PRB 1 c...

Страница 80: ...g imag imaginary part returns the imaginary nonreal part of a complex number or list of complex numbers imag a bi returns b imag re qi returns r sin q angle angle angle angle angle returns the polar a...

Страница 81: ...s the magnitude modulus of a complex number or list of complex numbers abs a bi returns abs re qi returns r magnitude 4Rect Rect Rect Rect 4Rect display as rectangular displays a complex result in rec...

Страница 82: ...PRB Probability Operations MATH PRB Probability Operations MATH PRB Probability Operations MATH PRB Probability Operations MATH PRB Menu MATH PRB Menu MATH PRB Menu MATH PRB Menu To display the MATH...

Страница 83: ...ith each rand execution the TI 84 Plus generates the same random number sequence for a given seed value The TI 84 Plus factory set seed value for rand is 0 To generate a different random number sequen...

Страница 84: ...e factorial of either an integer or a multiple of 5 For a list it returns factorials for each integer or multiple of 5 value must be L 5 and 69 value Note The factorial is computed recursively using t...

Страница 85: ...pecify an integer 1 for numtrials number of trials if not specified the default is 1 randInt lower upper numtrials randNorm randNorm randNorm randNorm randNorm random Normal generates and displays a r...

Страница 86: ...omial distribution numtrials number of trials must be 1 prob probability of success must be 0 and 1 To generate a list of random numbers specify an integer 1 for numsimulations number of simulations i...

Страница 87: ...of ANGLE menu entries Entry Notation Entry Notation Entry Notation Entry Notation DMS degrees minutes seconds entry notation comprises the degree symbol the minute symbol and the second symbol degrees...

Страница 88: ...of the current angle mode setting In Radian mode you can use to convert degrees to radians value value1 value2 value3 value4 value n also designates degrees D in DMS format minutes designates minutes...

Страница 89: ...gree for answer to be interpreted as degrees minutes and seconds 8DMS is valid only at the end of a line answer8DMS R R R R8P P P Pr r r r R R R R8P P P Pq P P P P8Rx P Rx P Rx P Rx P8Ry Ry Ry Ry R8Pr...

Страница 90: ...r x y R8Pq x y P8Rx converts polar coordinates to rectangular coordinates and returns x P8Ry converts polar coordinates to rectangular coordinates and returns y r and q can be lists P8Rx r q P8Ry r q...

Страница 91: ...perators compare valueA and valueB and return 1 if the test is true or 0 if the test is false valueA and valueB can be real numbers expressions or lists For and only valueA and valueB also can be matr...

Страница 92: ...tional operators are evaluated after mathematical functions according to EOS rules Chapter 1 The expression 2 2 2 3 returns 0 The TI 84 Plus performs the addition first because of EOS rules and then i...

Страница 93: ...grams to control program flow and in graphing to control the graph of the function over specific values Values are interpreted as zero false or nonzero true and or xor and or xor and or xor and or xor...

Страница 94: ...can be an expression is 0 not value Using Boolean Operations Using Boolean Operations Using Boolean Operations Using Boolean Operations Boolean logic is often used with relational tests In the follow...

Страница 95: ...raph this circle you must enter separate formulas for the upper and lower portions of the circle Then use ZSquare zoom square to adjust the display and make the functions appear as a circle 1 In Func...

Страница 96: ...cts that are unique to parametric graphing polar graphing and sequence graphing 2 Press q 6 to select 6 ZStandard This is a quick way to reset the window variables to the standard values It also graph...

Страница 97: ...ring a Graph Displaying and Exploring a Graph Displaying and Exploring a Graph Displaying and Exploring a Graph After you have defined a graph press s to display it Explore the behavior of the functio...

Страница 98: ...ng the Graph Modes Checking and Changing the Graphing Mode Checking and Changing the Graphing Mode Checking and Changing the Graphing Mode Checking and Changing the Graphing Mode To display the mode s...

Страница 99: ...ing mode and other modes from a program begin on a blank line in the program editor and follow these steps 1 Press z to display the mode settings 2 Press and to place the cursor on the mode that you w...

Страница 100: ...ression to define the function You may use functions and variables including matrices and lists in the expression When the expression evaluates to a nonreal number the value is not plotted no error is...

Страница 101: ...to select 1 Function from the VARS Y VARS menu 4 Select the function name which pastes the name to the cursor location on the home screen or program editor 5 Press to complete the instruction express...

Страница 102: ...d deselect turn on and turn off a function in the Y editor A function is selected when the sign is highlighted The TI 84 Plus graphs only the selected functions You can select any or all functions Y1...

Страница 103: ...creen or a Selecting and Deselecting Functions from the Home Screen or a Selecting and Deselecting Functions from the Home Screen or a Selecting and Deselecting Functions from the Home Screen or a Pro...

Страница 104: ...ph Styles for Functions Setting Graph Styles for Functions Setting Graph Styles for Functions Setting Graph Styles for Functions MATH Graph Style Icons in the Y Editor MATH Graph Style Icons in the Y...

Страница 105: ...aph style icon in the first column The insert cursor is displayed Steps 2 and 3 are interchangeable 4 Press repeatedly to rotate through the graph styles The seven styles rotate in the same order in w...

Страница 106: ...nctions the TI 84 Plus rotates through four shading patterns Vertical lines shade the first function with a or graph style Horizontal lines shade the second Negatively sloping diagonal lines shade the...

Страница 107: ...Setting a Graph Style from a Program To set the graph style from a program select H GraphStyle from the PRGM CTL menu To display this menu press while in the program editor function is the number of t...

Страница 108: ...e distance between tick marks on the y axis To turn off tick marks set Xscl 0 and Yscl 0 Displaying the Window Variables Displaying the Window Variables Displaying the Window Variables Displaying the...

Страница 109: ...d then edit it 3 Press or If you entered an expression the TI 84 Plus evaluates it The new value is stored Note Xmin Xmax and Ymin Ymax must be true in order to graph Storing to a Window Variable from...

Страница 110: ...TI 84 Plus stores the value to the window variable and displays the value X and X and X and X and Y Y Y Y The variables X and Y items 8 and 9 on the VARS 1 Window X Y secondary menu define the distan...

Страница 111: ...s apply to all graphing modes Seq graphing mode has an additional mode setting Chapter 6 Changing a Format Setting Changing a Format Setting Changing a Format Setting Changing a Format Setting To chan...

Страница 112: ...Y if CoordOn format is selected X and Y are displayed PolarGC updates X Y R and q if CoordOn format is selected R and q are displayed CoordOn CoordOff CoordOn CoordOff CoordOn CoordOff CoordOn CoordOf...

Страница 113: ...elOn determine whether to display labels for the axes X and Y if AxesOn format is also selected ExprOn ExprOff ExprOn ExprOff ExprOn ExprOff ExprOn ExprOff ExprOn and ExprOff determine whether to disp...

Страница 114: ...opping a Graph Pausing or Stopping a Graph While plotting a graph you can pause or stop graphing Press to pause then press to resume Press to stop then press s to redraw Smart Graph Smart Graph Smart...

Страница 115: ...t replotting existing functions For example store sin X to Y1 in the Y editor and press s Then store cos X to Y2 and press s again The function Y2 is graphed on top of Y1 the original function Graphin...

Страница 116: ...hs with the Free Moving Cursor Exploring Graphs with the Free Moving Cursor Exploring Graphs with the Free Moving Cursor Exploring Graphs with the Free Moving Cursor Free Moving Cursor Free Moving Cur...

Страница 117: ...ing Accuracy The free moving cursor moves from pixel to pixel on the screen When you move the cursor to a pixel that appears to be on the function the cursor may be near but not actually on the functi...

Страница 118: ...or coordinates are displayed at the bottom of the screen if CoordOn format is selected The Y expression is displayed in the top left corner of the screen if ExprOn format is selected Moving the Trace...

Страница 119: ...cursor follows the order of the selected functions in the Y editor The trace cursor moves to each function at the same X value If ExprOn format is selected the expression is updated Moving the Trace...

Страница 120: ...Xmax are updated to correspond to the new viewing window Quick Zoom Quick Zoom Quick Zoom Quick Zoom While tracing you can press to adjust the viewing window so that the cursor location becomes the c...

Страница 121: ...ctions press to resume program execution Exploring Graphs with the ZOOM Instructions Exploring Graphs with the ZOOM Instructions Exploring Graphs with the ZOOM Instructions Exploring Graphs with the Z...

Страница 122: ...Move the zoom cursor to any spot you want to define as a corner of the box and then press When you move the cursor away from the first defined corner a small square dot indicates the spot 3 Press or A...

Страница 123: ...rtion of the graph centered on the cursor location The XFact and YFact settings determine the extent of the zoom To zoom in on a graph follow these steps 1 Check XFact and YFact change as needed 2 Sel...

Страница 124: ...window variables to preset values as shown below These values set X and Y equal to 0 1 and set the X and Y value of each pixel to one decimal place ZSquare ZSquare ZSquare ZSquare ZSquare replots the...

Страница 125: ...values that are appropriate for plotting trig functions Those preset values in Radian mode are shown below ZInteger ZInteger ZInteger ZInteger ZInteger redefines the viewing window to the dimensions s...

Страница 126: ...YMin and YMax to include the minimum and maximum Y values of the selected functions between the current XMin and XMax XMin and XMax are not changed Using ZOOM MEMORY Using ZOOM MEMORY Using ZOOM MEMOR...

Страница 127: ...e variables apply to all graphing modes For example changing the value of ZXmin in Func mode also changes it in Par mode ZoomRcl ZoomRcl ZoomRcl ZoomRcl ZoomRcl graphs the selected functions in a user...

Страница 128: ...er of two ways Enter a new value The original value is cleared automatically when you enter the first digit Place the cursor on the digit you want to change and then enter a value or press to delete i...

Страница 129: ...e or more currently selected functions for a specified value of X Note When a value is displayed for X press to clear the value When no value is displayed press to cancel the value operation To evalua...

Страница 130: ...if CoordOff format is selected To move the cursor from function to function at the entered X value press or To restore the free moving cursor press or zero zero zero zero zero finds a zero x intercep...

Страница 131: ...left bound Right Bound is displayed in the bottom left corner Press or or enter a value to select the x value for the right bound and then press A 3 indicator on the graph screen shows the right boun...

Страница 132: ...e cursor is on the solution and the coordinates are displayed even if you have selected CoordOff format Minimum or Maximum is displayed in the bottom left corner To move to the same x value for other...

Страница 133: ...then press The cursor is on the solution and the coordinates are displayed even if CoordOff format is selected Intersection is displayed in the bottom left corner To restore the free moving cursor pre...

Страница 134: ...re the free moving cursor press or f x dx f x dx f x dx f x dx f x dx numerical integral finds the numerical integral of a function in a specified interval It uses the fnInt function with a tolerance...

Страница 135: ...upper limits as you would set left and right bounds for zero The integral value is displayed and the integrated area is shaded Note The shaded area is a drawing Use ClrDraw Chapter 8 or any action th...

Страница 136: ...path of a ball hit at an initial speed of 30 meters per second at an initial angle of 25 degrees with the horizontal from ground level How far does the ball travel When does it hit the ground How high...

Страница 137: ...parametric equations in this example 2 Press o Press 30 25 y 1 to select to define X1T in terms of T 3 Press 30 25 y 1 9 8 2 to define Y1T The vertical component vector is defined by X2T and Y2T 4 Pre...

Страница 138: ...graph style to for X3T and Y3T Press to change the graph style to for X2T and Y2T Press to change the graph style to for X1T and Y1T These keystrokes assume that all graph styles were set to originall...

Страница 139: ...iliar with Chapter 3 Function Graphing Chapter 4 details aspects of parametric graphing that differ from function graphing 10 Press s The plotting action simultaneously shows the ball in flight and th...

Страница 140: ...Parametric Y Editor After selecting Par graphing mode press o to display the parametric Y editor In this editor you can display and enter both the X and Y components of up to six equations X1T and Y1T...

Страница 141: ...components X and Y define a single parametric equation You must define both of them Selecting and Deselecting Parametric Equations Selecting and Deselecting Parametric Equations Selecting and Deselect...

Страница 142: ...ormat Setting the Graph Format Setting the Graph Format To display the current graph format settings press y Chapter 3 describes the format settings in detail The other graphing modes share these form...

Страница 143: ...plots each point defined by X and Y The window variables define the viewing window As the graph is plotted X Y and T are updated Smart Graph applies to parametric graphs Window Variables and Y Window...

Страница 144: ...ee Moving Cursor The free moving cursor in Par graphing works the same as in Func graphing In RectGC format moving the cursor updates the values of X and Y if CoordOn format is selected X and Y are di...

Страница 145: ...he screen the coordinate values at the bottom of the screen continue to change appropriately Quick Zoom is available in Par graphing panning is not Moving the Trace Cursor to Any Valid T Value Moving...

Страница 146: ...re affected The T window variables Tmin Tmax and Tstep are only affected when you select ZStandard The VARS ZOOM secondary menu ZT Zq items 1 ZTmin 2 ZTmax and 3 ZTstep are the zoom memory variables f...

Страница 147: ...and B 2 5 and then explore the appearance of the rose for other values of A and B 1 Press z to display the MODE screen Press to select Pol graphing mode Select the defaults the options on the left fo...

Страница 148: ...he steps for defining a polar graph are similar to the steps for defining a function graph Chapter 5 assumes that you are familiar with Chapter 3 Function Graphing Chapter 5 details aspects of polar g...

Страница 149: ...aying the Polar Y Editor Displaying the Polar Y Editor After selecting Pol graphing mode press o to display the polar Y editor In this editor you can enter and display up to six polar equations r1 thr...

Страница 150: ...ing Polar Equations Selecting and Deselecting Polar Equations The TI 84 Plus graphs only the selected polar equations In the Y editor a polar equation is selected when the sign is highlighted You may...

Страница 151: ...s Displaying a Graph Displaying a Graph Displaying a Graph Displaying a Graph When you press s the TI 84 Plus plots the selected polar equations It evaluates R for each value of q from qmin to qmax in...

Страница 152: ...ow Variables and Y Y Y Y VARS VARS VARS VARS Menus Menus Menus Menus You can perform these actions from the home screen or a program Access functions by using the name of the equation as a variable St...

Страница 153: ...r When TRACE is active you can move the trace cursor along the graph of the equation one qstep at a time When you begin a trace the trace cursor is on the first selected function at qmin If ExprOn fo...

Страница 154: ...the q prompt The value must be valid for the current viewing window When you complete the entry press to move the cursor ZOOM ZOOM ZOOM ZOOM ZOOM operations in Pol graphing work the same as in Func gr...

Страница 155: ...and Trees Note Getting Started is a fast paced introduction Read the chapter for details A small forest of 4 000 trees is under a new forestry plan Each year 20 percent of the trees will be harvested...

Страница 156: ...the number of trees at the beginning of the program 5 Press p 0 to set nMin 0 Press 50 to set nMax 50 nMin and nMax evaluate forest size over 50 years Set the other window variables PlotStart 1 Xmin 0...

Страница 157: ...e Graphing Mode Setting Sequence Graphing Mode Setting Sequence Graphing Mode To display the mode screen press z To graph sequence functions you must select Seq graphing mode before you enter window v...

Страница 158: ...fter selecting Seq mode press o to display the sequence Y editor In this editor you can display and enter sequences for u n v n and w n Also you can edit the value for nMin which is the sequence windo...

Страница 159: ...he selected sequence functions In the Y editor a sequence function is selected when the signs of both u n and u nMin are highlighted To change the selection status of a sequence function move the curs...

Страница 160: ...ro or any positive integer Nonrecursive Sequences Nonrecursive Sequences Nonrecursive Sequences Nonrecursive Sequences In a nonrecursive sequence the nth term is a function of the independent variable...

Страница 161: ...u 5 without first calculating u 1 u 2 u 3 and u 4 Using an initial value u nMin 1 the sequence above returns 1 2 4 8 16 Note On the TI 84 Plus you must type each character of the terms For example to...

Страница 162: ...g Window Variables Setting Window Variables Setting Window Variables To display the window variables press p These variables define the viewing window The values below are defaults for Seq graphing in...

Страница 163: ...with the fifth term in a sequence for example set PlotStart 5 The first four terms are evaluated but are not plotted on the graph PlotStep is the incremental n value for graphing only PlotStep does no...

Страница 164: ...available only in Seq mode Setting Axes Format Setting Axes Format Setting Axes Format Setting Axes Format For sequence graphing you can select from five axes formats The table below shows the values...

Страница 165: ...Graphs Exploring Sequence Graphs Exploring Sequence Graphs Free Moving Cursor Free Moving Cursor Free Moving Cursor Free Moving Cursor The free moving cursor in Seq graphing works the same as in Func...

Страница 166: ...ts with attracting and repelling behavior in the sequence When you begin a trace the cursor is on the x axis at the initial value of the first selected function Note To move the cursor to a specified...

Страница 167: ...cl window variables are affected PlotStart PlotStep nMin and nMax are only affected when you select ZStandard The VARS Zoom secondary menu ZU items 1 through 7 are the ZOOM MEMORY variables for Seq gr...

Страница 168: ...three ways Calculate the nth value in a sequence Calculate a list of values in a sequence Generate a sequence with u nstart nstop nstep nstep is optional default is 1 Graphing Web Plots Graphing Web...

Страница 169: ...ay the graph screen The TI 84 Plus Draws a y x reference line in AxesOn format Plots the selected sequences with u nN1 as the independent variable Note A potential convergence point occurs whenever a...

Страница 170: ...b Plots to Illustrate Convergence Using Web Plots to Illustrate Convergence Example Convergence Example Convergence Example Convergence Example Convergence 1 Press o in Seq mode to display the sequenc...

Страница 171: ...Press r and then press to draw the web The displayed cursor coordinates n X u nN1 and Y u n change accordingly When you press a new n value is displayed and the trace cursor is on the sequence When yo...

Страница 172: ...del Example Predator Prey Model Example Predator Prey Model Example Predator Prey Model Use the predator prey model to determine the regional populations of a predator and its prey that would maintain...

Страница 173: ...d initial values for Rn and Wn as shown below Enter the sequence Rn as u n and enter the sequence Wn as v n 2 Press y to select Time axes format W number of foxes G fox population growth rate with rab...

Страница 174: ...sequence 5 Press r to individually trace the number of rabbits u n and foxes v n over time n Note Press a number and then press to jump to a specific n value month while in TRACE 6 Press y to select u...

Страница 175: ...84 Plus and TI 82 Sequence Variables Sequences and Window Variables Sequences and Window Variables Sequences and Window Variables Sequences and Window Variables Refer to the table if you are familiar...

Страница 176: ...e Changes Sequence Keystroke Changes Sequence Keystroke Changes Refer to the table if you are familiar with the TI 82 It compares TI 84 Plus sequence name syntax and variable syntax with TI 82 sequenc...

Страница 177: ...Chapter 6 Sequence Graphing 174 v n Vn y v y w n y w not available u nN1 UnN1 y u y v nN1 VnN1 y v y w nN1 y w not available TI 84 Plus TI 82 On TI 84 Plus press On TI 82 press...

Страница 178: ...Roots of a Function Getting Started is a fast paced introduction Read the chapter for details Evaluate the function Y X3 N 2X at each integer between L10 and 10 How many sign changes occur and at what...

Страница 179: ...Screen TABLE SETUP Screen To display the TABLE SETUP screen press y Press to select Indpnt Auto automatically generated independent values Press to select Depend Auto automatically generated dependent...

Страница 180: ...to Indpnt Ask Depend Auto Depend Ask Selections Table Characteristics Indpnt Auto Depend Auto Values are displayed automatically in both the independent variable column and in all dependent variable c...

Страница 181: ...from the Y Editor Defining Dependent Variables from the Y Editor Defining Dependent Variables from the Y Editor Defining Dependent Variables from the Y Editor In the Y editor enter the functions that...

Страница 182: ...e bottom line Edit the function 4 Press or The new values are calculated The table and the Y function are updated automatically Note You also can use this feature to view the function that defines a d...

Страница 183: ...and Dependent Variables Independent and Dependent Variables Independent and Dependent Variables Independent and Dependent Variables The current graphing mode determines which independent and dependent...

Страница 184: ...e is cleared upon execution If IndpntAsk is selected all independent and dependent variable values on the table are cleared If DependAsk is selected all dependent variable values on the table are clea...

Страница 185: ...es of X 0 6 but you can press to scroll back and display the table for X M1 5 Displaying Other Dependent Variables Displaying Other Dependent Variables Displaying Other Dependent Variables Displaying...

Страница 186: ...ent variables on the table that are not defined as consecutive Y functions go to the Y editor and deselect the Y functions between the two you want to display For example to simultaneously display Y4...

Страница 187: ...ng a Tangent Line Getting Started Drawing a Tangent Line Getting Started is a fast paced introduction Read the chapter for details Suppose you want to find the equation of the tangent line at X for th...

Страница 188: ...Draw Instructions 185 3 Press y 5 to select 5 Tangent The tangent instruction is initiated 4 Press y C 2 2 5 Press The tangent line is drawn the X value and the tangent line equation are displayed on...

Страница 189: ...me screen or the program editor or directly from a graph DRAW POINTS STO 1 ClrDraw Clears all drawn elements 2 Line Draws a line segment between 2 points 3 Horizontal Draws a horizontal line 4 Vertica...

Страница 190: ...Note If you draw on a graph and then perform any of the actions listed above the graph is replotted without the drawings when you display the graph again Drawing on a Graph Drawing on a Graph Drawing...

Страница 191: ...o drawn elements Clearing Drawings from the Home Screen or a Program Clearing Drawings from the Home Screen or a Program Clearing Drawings from the Home Screen or a Program Clearing Drawings from the...

Страница 192: ...sor on the point where you want the line segment to begin and then press 3 Move the cursor to the point where you want the line segment to end The line is displayed as you move the cursor Press To con...

Страница 193: ...ine Directly on a Graph Drawing a Line Directly on a Graph Drawing a Line Directly on a Graph Drawing a Line Directly on a Graph To draw a horizontal or vertical line when a graph is displayed follow...

Страница 194: ...n or a Program Drawing a Line from the Home Screen or a Program Drawing a Line from the Home Screen or a Program Horizontal horizontal line draws a horizontal line at Y y y can be an expression but no...

Страница 195: ...low these steps 1 Select 5 Tangent from the DRAW menu 2 Press and to move the cursor to the function for which you want to draw the tangent line The current graph s Y function is displayed in the top...

Страница 196: ...me Screen or a Program Drawing a Tangent Line from the Home Screen or a Program Drawing a Tangent Line from the Home Screen or a Program Drawing a Tangent Line from the Home Screen or a Program Tangen...

Страница 197: ...returns to the home screen or the program editor DrawF is not interactive DrawF expression Note You cannot use a list in expression to draw a family of curves Drawing an Inverse of a Function Drawing...

Страница 198: ...shade an area on a graph select 7 Shade from the DRAW menu The instruction is pasted to the home screen or to the program editor Shade draws lowerfunc and upperfunc in terms of X on the current graph...

Страница 199: ...pattern 1 pattern 2 pattern 3 pattern 4 vertical default horizontal negative slope 45 positive slope 45 patres 1 patres 2 patres 3 patres 4 patres 5 patres 6 patres 7 patres 8 shades every pixel defau...

Страница 200: ...on the circumference Press to draw the circle on the graph Note This circle is displayed as circular regardless of the window variable values because you drew it directly on the display When you use t...

Страница 201: ...g Text Directly on a Graph Placing Text Directly on a Graph Placing Text Directly on a Graph Placing Text Directly on a Graph To place text on a graph when the graph is displayed follow these steps 1...

Страница 202: ...s The top left corner of the first character is at pixel row column where row is an integer between 0 and 57 and column is an integer between 0 and 94 Both row and column can be expressions Text row c...

Страница 203: ...m To draw on a displayed graph follow these steps 1 Select A Pen from the DRAW menu 2 Place the cursor on the point where you want to begin drawing Press to turn on the pen 3 Move the cursor As you mo...

Страница 204: ...awing Points Directly on a Graph with Drawing Points Directly on a Graph with Drawing Points Directly on a Graph with Drawing Points Directly on a Graph with Pt Pt Pt Pt On On On On To draw a point on...

Страница 205: ...o the point you want to erase 3 Press to erase the point To continue erasing points repeat steps 2 and 3 To cancel Pt Off press Changing Points with Changing Points with Changing Points with Changing...

Страница 206: ...y mark Pt Off x y mark Pt Change x y Note If you specified mark to turn on a point with Pt On you must specify mark when you turn off the point with Pt Off Pt Change does not have the mark option Draw...

Страница 207: ...ow is an integer between 0 and 62 and column is an integer between 0 and 94 Pxl Off turns the pixel off Pxl Change toggles the pixel on and off Pxl On row column Pxl Off row column Pxl Change row colu...

Страница 208: ...s Pic Storing Graph Pictures Pic Storing Graph Pictures Pic Storing Graph Pictures Pic DRAW STO DRAW STO DRAW STO DRAW STO Menu Menu Menu Menu To display the DRAW STO menu press y When you select an i...

Страница 209: ...hese items are stored with the picture To store a graph picture follow these steps 1 Select 1 StorePic from the DRAW STO menu StorePic is pasted to the current cursor location 2 Enter the number from...

Страница 210: ...s are drawings You cannot trace a curve that is part of a picture Deleting a Graph Picture Deleting a Graph Picture Deleting a Graph Picture Deleting a Graph Picture To delete graph pictures from memo...

Страница 211: ...a Graph Database Storing a Graph Database To store a graph database follow these steps 1 Select 3 StoreGDB from the DRAW STO menu StoreGDB is pasted to the current cursor location 2 Enter the number...

Страница 212: ...the DRAW STO menu RecallGDB is pasted to the current cursor location 2 Enter the number from 1 to 9 or 0 of the GDB variable from which you want to recall a GDB For example if you enter 7 the TI 84 Pl...

Страница 213: ...Chapter 8 Draw Instructions 210...

Страница 214: ...ircle Getting Started is a fast paced introduction Read the chapter for details Use G T graph table split screen mode to explore the unit circle and its relationship to the numeric values for the comm...

Страница 215: ...nd the trace cursor is activated When T 0 from the graph trace coordinates you can see from the table on the right that the value of X1T cos T is 1 and Y1T sin T is 0 Press to move the cursor to the n...

Страница 216: ...Split Screen Mode To set a split screen mode press z and then move the cursor to the next to last line on the mode screen Select Horiz horizontal to display the graph screen and another screen split h...

Страница 217: ...ts Some screens are never displayed as split screens For example if you press z in Horiz or G T mode the mode screen is displayed as a full screen If you then press a key that displays either half of...

Страница 218: ...ine splits the screen into top and bottom halves The top half displays the graph The bottom half displays any of these editors Home screen four lines Y editor four lines Stat list editor two rows Wind...

Страница 219: ...l Screens in Horiz Mode All other screens are displayed as full screens in Horiz split screen mode To return to the Horiz split screen from a full screen when in Horiz mode press any key or key combin...

Страница 220: ...it screen Press s or r Select a ZOOM or CALC operation To use the right half of the split screen press y 0 If the values at the right are list data these values can be edited similarly to using the St...

Страница 221: ...ther than the graph and the table are displayed as full screens in G T split screen mode To return to the G T split screen from a full screen when in G T mode press any key or key combination that dis...

Страница 222: ...t be 94 In G T mode row must be 50 column must be 46 Pxl On row column DRAW Menu Text Instruction DRAW Menu Text Instruction DRAW Menu Text Instruction DRAW Menu Text Instruction For the Text instruct...

Страница 223: ...or a Program Setting a Split Screen Mode from the Home Screen or a Program To set Horiz or G T from a program follow these steps 1 Press z while the cursor is on a blank line in the program editor 2...

Страница 224: ...r details Find the solution of X 2Y 3Z 3 and 2X 3Y 4Z 3 On the TI 84 Plus you can solve a system of linear equations by entering the coefficients as elements in a matrix and then using rref to obtain...

Страница 225: ...mory may have up to 99 rows or columns You can store only real numbers in TI 84 Plus matrices 4 Press 2 3 3 to complete the first row for X 2Y 3Z 3 5 Press 2 3 4 3 to enter the second row for 2X 3Y 4Z...

Страница 226: ...ine The MATRX EDIT screen is displayed Accepting or Changing Matrix Dimensions Accepting or Changing Matrix Dimensions Accepting or Changing Matrix Dimensions Accepting or Changing Matrix Dimensions T...

Страница 227: ...g Matrix Elements After you have set the dimensions of the matrix you can view the matrix and enter values for the matrix elements In a new matrix all values are zero Select the matrix from the MATRX...

Страница 228: ...rsor keys to move quickly from one matrix element to the next The full value of the highlighted element is displayed on the bottom line Select the matrix from the MATRX EDIT menu and then enter or acc...

Страница 229: ...tch to editing context by pressing or an entry key 4 Change the value of the matrix element using the editing context keys described below You may enter an expression which is evaluated when you leave...

Страница 230: ...lement switches to viewing context and moves the rectangular cursor within the column Stores the value displayed on the bottom line to the matrix element switches to viewing context and moves the rect...

Страница 231: ...K Chapter 1 Enter the matrix directly see below Entering a Matrix in an Expression Entering a Matrix in an Expression Entering a Matrix in an Expression Entering a Matrix in an Expression You can ent...

Страница 232: ...enter to separate elements are not displayed on output Displaying and Copying Matrices Displaying and Copying Matrices Displaying and Copying Matrices Displaying and Copying Matrices Displaying a Matr...

Страница 233: ...ss 4 Press y again and select the name of the new matrix to which you want to copy the existing matrix 5 Press to copy the matrix to the new matrix name Accessing a Matrix Element Accessing a Matrix E...

Страница 234: ...and the MATH TEST menu with matrices However the dimensions must be appropriate Each of the functions below creates a new matrix the original matrix remains the same Addition Subtraction Addition Subt...

Страница 235: ...a value or a value by a matrix returns a matrix in which each element of matrix is multiplied by value matrix value value matrix Negation Negation Negation Negation Negating a matrix returns a matrix...

Страница 236: ...abs matrix round round round round round MATH NUM menu returns a matrix It rounds every element in matrix to decimals 9 If decimals is omitted the elements are rounded to 10 digits round matrix decima...

Страница 237: ...between 0 and 255 matrix2 matrix3 matrix power Relational Operations Relational Operations Relational Operations Relational Operations To compare two matrices using the relational operations and TEST...

Страница 238: ...ison is false iPart fPart int iPart fPart int iPart fPart int iPart fPart int iPart integer part fPart fractional part and int greatest integer are on the MATH NUM menu iPart returns a matrix containi...

Страница 239: ...RX MATH Menu MATRX MATH Menu MATRX MATH Menu MATRX MATH Menu To display the MATRX MATH menu press y NAMES MATH EDIT 1 det Calculates the determinant 2 T Transposes the matrix 3 dim Returns the matrix...

Страница 240: ...is swapped with the corresponding element column row of matrix 9 List4matr Stores a list to a matrix 0 cumSum Returns the cumulative sums of a matrix A ref Returns the row echelon form of a matrix B...

Страница 241: ...urns a list containing the dimensions rows columns of matrix dim matrix Note dim matrix Ln Ln 1 returns the number of rows dim matrix Ln Ln 2 returns the number of columns Creating a Matrix with Creat...

Страница 242: ...columns The elements in the old matrixname that are within the new dimensions are not changed Additional created elements are zeros Matrix elements that are outside the new dimensions are deleted row...

Страница 243: ...matrix of integers L9 and 9 The seed value stored to the rand function controls the values Chapter 2 randM rows columns augment augment augment augment augment appends matrixA to matrixB as new column...

Страница 244: ...list also fills a listname with elements from a specified column in matrix To fill a list with a specific column from matrix you must enter column after matrix Matr4list matrix column listname List Li...

Страница 245: ...ent is the cumulative sum of the column from top to bottom cumSum matrix Row Operations Row Operations Row Operations Row Operations MATRX MATH menu items A through F are row operations You can use a...

Страница 246: ...must be greater than or equal to the number of rows ref matrix rref reduced row echelon form returns the reduced row echelon form of a real matrix The number of columns must be greater than or equal...

Страница 247: ...in rowB row matrix rowA rowB row row row row row row multiplication returns a matrix It multiplies row of matrix by value and stores the results in row row value matrix row row row row row row row mu...

Страница 248: ...Chapter 10 Matrices 245 row value matrix rowA rowB...

Страница 249: ...hapter for details Calculate the first eight terms of the sequence 1 A2 Store the results to a user created list Then display the results in fraction form Begin this example on a blank line on the hom...

Страница 250: ...olumns 1 through 6 when you reset memory 5 Press to generate the list and store it in SEQ1 The list is displayed on the home screen An ellipsis indicates that the list continues beyond the viewing win...

Страница 251: ...be real numbers complex numbers or expressions 2 Press 3 Press letter from A to Z or q to enter the first letter of the name 4 Enter zero to four letters q or numbers to complete the name 5 Press The...

Страница 252: ...s Storing and Displaying Lists Storing and Displaying Lists Storing Elements to a List Storing Elements to a List Storing Elements to a List Storing Elements to a List You can store list elements in e...

Страница 253: ...eyond the viewing window Press repeatedly or press and hold to scroll the list and view all the list elements Copying One List to Another Copying One List to Another Copying One List to Another Copyin...

Страница 254: ...Graphing Using Lists in Graphing You can use lists to graph a family of curves Chapter 3 Entering List Names Entering List Names Entering List Names Entering List Names Using the LIST NAMES Menu Using...

Страница 255: ...ata also is valid such as the home screen The symbol does not precede a list name when the name is pasted where a list name is the only valid input such as the stat list editor s Name prompt or the st...

Страница 256: ...a to a List Name You can attach a formula to a list name so that each list element is a result of the formula When executed the attached formula must resolve to a list When anything in the attached fo...

Страница 257: ...ther list L4 The elements of L4 are the sum of the same formula that is attached to L3 However quotation marks are not entered so the formula is not attached to L4 On the next line L6 L3 1 L3 changes...

Страница 258: ...ve to a list and press again Note When you include more than one list name in a formula each list must have the same dimension 2 Press 3 Enter the name of the list to which you want to attach the form...

Страница 259: ...r Chapter 12 Use ClrList or ClrAllList to detach a formula from a list Chapter 18 Using Lists in Expressions Using Lists in Expressions Using Lists in Expressions Using Lists in Expressions Using a Li...

Страница 260: ...Functions You can use a list to input several values for some math functions Other chapters and Appendix A specify whether a list is valid The function is evaluated for each list element and a list is...

Страница 261: ...enu LIST OPS Menu LIST OPS Menu LIST OPS Menu LIST OPS Menu To display the LIST OPS menu press y 9 NAMES OPS MATH 1 SortA Sorts lists in ascending order 2 SortD Sorts lists in descending order 3 dim S...

Страница 262: ...elements of listname and update the list in memory With two or more lists SortA and SortD sort keylistname and then sort each dependlist by placing its elements in the same order as the corresponding...

Страница 263: ...lement in L5 After SortA L4 L5 5 becomes the second element of L4 and likewise 1 becomes the second element of L5 SortA and SortD are the same as SortA and SortD on the STAT EDIT menu Chapter 12 Using...

Страница 264: ...im listname Using dim to Redimension a List Using dim to Redimension a List Using dim to Redimension a List Using dim to Redimension a List You can use dim with to redimension an existing listname to...

Страница 265: ...seq seq seq sequence returns a list in which each element is the result of the evaluation of expression with regard to variable for the values ranging from begin to end at steps of increment variable...

Страница 266: ...n consecutive elements in list List subtracts the first element in list from the second element subtracts the second element from the third and so on The list of differences is always one element shor...

Страница 267: ...using Select follow these steps 1 Create two list names and enter the data 2 Turn on a stat plot select scatter plot or xyLine and enter the two list names for Xlist and Ylist Chapter 12 3 Use ZoomSta...

Страница 268: ...layed with Left Bound in the bottom left corner 4 Press or if more than one stat plot is selected to move the cursor onto the stat plot from which you want to select data points 5 Press and to move th...

Страница 269: ...oints are stored in xlistname and ylistname A new stat plot of xlistname and ylistname replaces the stat plot from which you selected data points The list names are updated in the stat plot editor Not...

Страница 270: ...t listA listB List List List List4matr matr matr matr List4matr lists stored to matrix fills matrixname column by column with the elements from each list If the dimensions of all lists are not equal t...

Страница 271: ...f listname arguments then Matr4list ignores extra matrix columns Matr4list matrix listname1 listname2 listname n Matr4list also fills a listname with elements from a specified column in matrix To fill...

Страница 272: ...or or the Xlist and Ylist prompts in the stat plot editor If you enter where it is not necessary the TI 84 Plus will ignore the entry LIST MATH Menu LIST MATH Menu LIST MATH Menu LIST MATH Menu LIST M...

Страница 273: ...mallest or largest magnitude modulus is returned min listA listB max listA listB Note min and max are the same as min and max on the MATH NUM menu mean median mean median mean median mean median mean...

Страница 274: ...f list start and end elements are optional they specify a range of list elements list elements can be real or complex numbers Sums and Products of Numeric Sequences Sums and Products of Numeric Sequen...

Страница 275: ...eqlist element counts the number of consecutive occurrences of the corresponding element in list Complex lists are not valid variance returns the variance of the elements in list The default value for...

Страница 276: ...length of a pendulum and its period one complete swing of a pendulum The group makes a simple pendulum from string and washers and then suspends it from the ceiling They record the pendulum s period...

Страница 277: ...ed If elements are stored in L1 and L2 press to move the cursor onto L1 and then press to clear both lists Press to move the rectangular cursor back to the first row in L1 4 Press 6 5 to store the fir...

Страница 278: ...lot1 from the STAT PLOTS menu The stat plot editor is displayed for plot 1 8 Press to select On which turns on plot 1 Press to select scatter plot Press y d to specify Xlist L1 for plot 1 Press y e to...

Страница 279: ...RS FUNCTION secondary menu and then press 1 to select 1 Y1 L1 L2 and Y1 are pasted to the home screen as arguments to LinReg ax b 12 Press to execute LinReg ax b The linear regression for the data in...

Страница 280: ...ursor onto L3 Press y 6 An unnamed column is displayed in column 3 L3 L4 L5 and L6 shift right one column The Name prompt is displayed in the entry line and alpha lock is on 15 Press y 9 to display th...

Страница 281: ...The stat plot editor is displayed for plot 2 19 Press to select On which turns on plot 2 Press to select scatter plot Press y d to specify Xlist L1 for plot 2 Press R E S I D alpha lock is on to speci...

Страница 282: ...uld fit Try a power regression to fit a function of the form y a xb 22 Press o to display the Y editor Press to clear the linear regression equation from Y1 Press to turn on plot 1 Press to turn off p...

Страница 283: ...als are calculated and stored automatically in the list name RESID 26 Press s The regression line and the scatter plot are displayed 27 Press o to display the Y editor Press to deselect Y1 Press to tu...

Страница 284: ...model to predict the period for a given string length To predict the periods for a pendulum with string lengths of 20 cm and 50 cm continue with these steps 29 Press r Press and to trace the data Obse...

Страница 285: ...tring length of 20 cm Press to calculate the predicted time of about 0 92 seconds Based on the residual analysis we would expect the prediction of about 0 92 seconds to be within about 0 02 seconds of...

Страница 286: ...to one or more lists 2 Plot the data 3 Calculate the statistical variables or fit a model to the data 4 Graph the regression equation for the plotted data 5 Graph the residuals list for the given regr...

Страница 287: ...st Editor Using the Stat List Editor Entering a List Name in the Stat List Editor Entering a List Name in the Stat List Editor Entering a List Name in the Stat List Editor Entering a List Name in the...

Страница 288: ...rom the LIST NAMES menu Chapter 11 Enter L1 L2 L3 L4 L5 or L6 from the keyboard Enter an existing user created list name directly from the keyboard Enter a new user created list name 3 Press or to sto...

Страница 289: ...reating a Name in the Stat List Editor Creating a Name in the Stat List Editor Creating a Name in the Stat List Editor To create a name in the stat list editor follow these steps 1 Display the Name pr...

Страница 290: ...L Removing All Lists and Restoring L Removing All Lists and Restoring L Removing All Lists and Restoring L1 1 1 1 through L through L through L through L6 6 6 6 You can remove all user created lists...

Страница 291: ...ote If you want to replace the current value you can enter a new value without first pressing When you enter the first character the current value is cleared automatically 3 Edit the element in the en...

Страница 292: ...to List Names Attaching Formulas to List Names Attaching a Formula to a List Name in Stat List Editor Attaching a Formula to a List Name in Stat List Editor Attaching a Formula to a List Name in Stat...

Страница 293: ...ress and then edit the formula 4 Press enter the formula and press Note If you do not use quotation marks the TI 84 Plus calculates and displays the same initial list of answers but does not attach th...

Страница 294: ...attached formula the TI 84 Plus updates the corresponding element in the list to which the formula is attached Chapter 11 When a list with a formula attached is displayed in the stat list editor and y...

Страница 295: ...result Notes If an error menu is returned when you attempt to display a formula generated list in the stat list editor you can select 2 Goto write down the formula that is attached to the list and th...

Страница 296: ...ormulas are detached from all list names and all lock symbols disappear All list names remain Editing an Element of a Formula Generated List Editing an Element of a Formula Generated List Editing an E...

Страница 297: ...displayed in view elements context To switch through the four contexts select 1 Edit from the STAT EDIT menu and follow these steps 1 Press to move the cursor onto a list name You are now in view name...

Страница 298: ...name the current element s place in that list and the full value of the current element up to 12 characters at a time An ellipsis indicates that the element continues beyond 12 characters 4 Press aga...

Страница 299: ...t value for a new element Edit Elements Context Edit Elements Context Edit Elements Context Edit Elements Context In edit elements context the data displayed in the entry line depends on the previous...

Страница 300: ...ts context you can attach a formula to a list name only if you switched to it from view names context View Names Context View Names Context View Names Context View Names Context In view names context...

Страница 301: ...entry line and alpha lock is on At the Name prompt you can create a new list name paste a list name from L1 to L6 from the keyboard or paste an existing list name from the LIST NAMES menu Chapter 11 T...

Страница 302: ...m high to low values Complex lists are sorted based on magnitude modulus SortA and SortD each can sort in either of two ways With one listname SortA and SortD sort the elements in listname and update...

Страница 303: ...list1 dependlist2 dependlist n SortD keylistname dependlist1 dependlist2 dependlist n Note SortA and SortD are the same as SortA and SortD on the LIST OPS menu ClrList ClrList ClrList ClrList ClrList...

Страница 304: ...the SetUp Editor will automatically unarchive the listnames and place them in the stat list editor at the same time SetUpEditor listname1 listname2 listname n SetUpEditor with one to 20 listnames remo...

Страница 305: ...on Model Features Regression Model Features Regression Model Features Regression Model Features Regression Model Features Regression Model Features STAT CALC menu items 3 through C are regression mode...

Страница 306: ...Equation Automatic Regression Equation Each regression model has an optional argument regequ for which you can specify a Y variable such as Y1 Upon execution the regression equation is stored automat...

Страница 307: ...Mode When you execute some regression models the TI 84 Plus computes and stores diagnostics values for r correlation coefficient and r2 coefficient of determination or for R2 coefficient of determinat...

Страница 308: ...ruction is in the CATALOG Chapter 15 Note To set DiagnosticOn or DiagnosticOff from the home screen press y N and then select the instruction for the mode you want The instruction is pasted to the hom...

Страница 309: ...lates a median median line 4 LinReg ax b Fits a linear model to data 5 QuadReg Fits a quadratic model to data 6 CubicReg Fits a cubic model to data 7 QuartReg Fits a quartic model to data 8 LinReg a b...

Страница 310: ...if L1 15 12 9 14 and FREQ 1 4 1 3 then the TI 84 Plus interprets the instruction 1 Var Stats L1 FREQ to mean that 15 occurs once 12 occurs four times 9 occurs once and 14 occurs three times Each eleme...

Страница 311: ...d ax b Med Med ax b Med Med ax b Med Med median median fits the model equation y ax b to the data using the median median line resistant line technique calculating the summary points x1 y1 x2 y2 x3 an...

Страница 312: ...x d d d d CubicReg cubic regression fits the third degree polynomial y ax3 bx2 cx d to the data It displays values for a b c and d when DiagnosticOn is set it also displays a value for R2 For four poi...

Страница 313: ...b ln x LnReg logarithmic regression fits the model equation y a b ln x to the data using a least squares fit and transformed values ln x and y It displays values for a and b when DiagnosticOn is set i...

Страница 314: ...n fits the model equation y a sin bx c d to the data using an iterative least squares fit It displays values for a b c and d At least four data points are required At least two data points per cycle a...

Страница 315: ...time values in Xlistname can be unequal Note The output of SinReg is always in radians regardless of the Radian Degree mode setting SinReg SinReg SinReg SinReg Example Example Example Example Daylight...

Страница 316: ...our first attempt to use SinReg and the default value for iterations to fit the data you may find the fit to be approximately correct but not optimal For an optimal fit execute SinReg 16 Xlistname Yli...

Страница 317: ...cted parameter the edit can include insert delete type over or mathematical expression The screen dynamically displays the revised parameter value Press to complete the modification of the selected pa...

Страница 318: ...es Statistical Variables The statistical variables are calculated and stored as indicated below To access these variables for use in expressions press and select 5 Statistics Then select the VARS menu...

Страница 319: ...G minimum of x values minX minX XY maximum of x values maxX maxX XY minimum of y values minY XY maximum of y values maxY XY 1st quartile Q1 PTS median Med PTS 3rd quartile Q3 PTS regression fit coeff...

Страница 320: ...enter statistical data into lists directly within the program Chapter 11 Statistical Calculations Statistical Calculations Statistical Calculations Statistical Calculations To perform a statistical c...

Страница 321: ...ts You can plot statistical data that is stored in lists The six types of plots available are scatter plot xyLine histogram modified box plot regular box plot and normal probability plot You can defin...

Страница 322: ...g each point as a box cross or dot Xlist and Ylist must be the same length You can use the same list for Xlist and Ylist xyLine xyLine xyLine xyLine xyLine is a scatter plot in which the data points a...

Страница 323: ...uartile Range beyond the quartiles The Interquartile Range is defined as the difference between the third quartile Q3 and the first quartile Q1 These points are plotted individually beyond the whisker...

Страница 324: ...om the minimum data point in the set minX to the first quartile Q1 and from the third quartile Q3 to the maximum point maxX The box is defined by Q1 Med median and Q3 Box plots are plotted with respec...

Страница 325: ...ose to a straight line then the plot indicates that the data are normal Enter a valid list name in the Data List field Select X or Y for the Data Axis setting If you select X the TI 84 Plus plots the...

Страница 326: ...editor is displayed for the plot you selected 3 Press to select On if you want to plot the statistical data immediately The definition is stored whether you select On or Off 4 Select the type of plot...

Страница 327: ...t Plot Editors Displaying Other Stat Plot Editors Displaying Other Stat Plot Editors Each stat plot has a unique stat plot editor The name of the current stat plot Plot1 Plot2 or Plot3 is highlighted...

Страница 328: ...Off allow you to turn on or turn off stat plots from the home screen or a program With no plot number PlotsOn turns on all plots and PlotsOff turns off all plots With one or more plot numbers 1 2 and...

Страница 329: ...starting at the first column When you trace a box plot tracing begins at Med the median Press to trace to Q1 and minX Press to trace to Q3 and maxX When you press or to move to another plot or to anot...

Страница 330: ...enter data into one or more lists then follow these steps 1 Press y to display the STAT PLOTS menu 2 Select the plot to define which pastes Plot1 Plot2 or Plot3 to the cursor location 3 Press y to dis...

Страница 331: ...the type of mark or or for each data point The selected mark symbol is pasted to the cursor location 7 Press to complete the command line Displaying a Stat Plot from a Program Displaying a Stat Plot f...

Страница 332: ...Chapter 12 Statistics 329...

Страница 333: ...distribution confidence interval can be used when estimating the mean The 10 height values below are the first 10 of 90 values randomly generated from a normally distributed population with an assume...

Страница 334: ...t it is displayed on the bottom line Press The value is displayed in the first row and the rectangular cursor moves to the next row Enter the other nine height values the same way 4 Press to display t...

Страница 335: ...opulation mean The actual mean of the population sampled is 165 1 centimeters which is in the calculated interval The second line gives the mean height of the sample v used to compute this interval Th...

Страница 336: ...the inferential stat editor for TInterval Press to select Inpt Stats The editor changes so that you can enter summary statistics as input 8 Press 163 8 to store 163 8 to v Press 7 1 to store 7 1 to Sx...

Страница 337: ...rcentile The result is displayed on the home screen it shows that five percent of the women are taller than 175 5 centimeters Now graph and shade the top 5 percent of the population 10 Press to clear...

Страница 338: ...test or confidence interval instruction from the home screen the appropriate inferential statistics editor is displayed The editors vary 13 Press y to display the DISTR DRAW menu 14 Press to paste Sh...

Страница 339: ...s 1 Select a hypothesis test or confidence interval from the STAT TESTS menu The appropriate editor is displayed 2 Select Data or Stats input if the selection is available The appropriate editor is di...

Страница 340: ...TTest do not Select Data to enter the data lists as input Select Stats to enter summary statistics such as v Sx and n as input To select Data or Stats move the cursor to either Data or Stats and then...

Страница 341: ...uch as m m0 for the Z Test The second is a alternative hypothesis such as m1 m2 for the 2 SampTTest The third is a alternative hypothesis such as p1 p2 for the 2 PropZTest To select an alternative hyp...

Страница 342: ...r Draw and then press The instruction is immediately executed Selecting Calculate for a Confidence Interval Selecting Calculate for a Confidence Interval Selecting Calculate for a Confidence Interval...

Страница 343: ...an inferential statistics instruction the appropriate inferential stat editor is displayed Most STAT TESTS instructions store some output variables to memory For a list of these variables see the Tes...

Страница 344: ...example arguments Descriptions of instructions that offer the Data Stats input choice show both types of input screens Descriptions of instructions that do not offer the Data Stats input choice show o...

Страница 345: ...alculated and graphic results Descriptions of instructions that offer only the Calculate output choice show the calculated results on the home screen Z Test Z Test Z Test Z Test Z Test one sample z te...

Страница 346: ...Chapter 13 Inferential Statistics and Distributions 343 L1 299 4 297 7 301 298 9 300 2 297 Data Stats Input Calculated results Drawn results...

Страница 347: ...ur output may differ from the output in the examples T Test T Test T Test T Test T Test one sample t test item 2 performs a hypothesis test for a single unknown population mean m when the population s...

Страница 348: ...test item 3 tests the equality of the means of two populations m1 and m2 based on independent samples when both population standard deviations s1 and s2 are known The null hypothesis H0 m1 m2 is teste...

Страница 349: ...Chapter 13 Inferential Statistics and Distributions 346 In the example LISTA 154 109 137 115 140 LISTB 108 115 126 92 146 Data Stats Input Calculated results...

Страница 350: ...t test item 4 tests the equality of the means of two populations m1 and m2 based on independent samples when neither population standard deviation s1 or s2 is known The null hypothesis H0 m1 m2 is tes...

Страница 351: ...Chapter 13 Inferential Statistics and Distributions 348 SAMP1 12 207 16 869 25 05 22 429 8 456 10 589 SAMP2 11 074 9 686 12 064 9 351 8 182 6 642 Data Stats Input Calculated results...

Страница 352: ...m 5 computes a test for an unknown proportion of successes prop It takes as input the count of successes in the sample x and the count of observations in the sample n 1 PropZTest tests the null hypoth...

Страница 353: ...pare the proportion of successes p1 and p2 from two populations It takes as input the count of successes in each sample x1 and x2 and the count of observations in each sample n1 and n2 2 PropZTest tes...

Страница 354: ...Chapter 13 Inferential Statistics and Distributions 351 Ha p1 p2 p1 p2 Input Calculated results Drawn results...

Страница 355: ...ple z confidence interval item 7 computes a confidence interval for an unknown population mean m when the population standard deviation s is known The computed confidence interval depends on the user...

Страница 356: ...one sample t confidence interval item 8 computes a confidence interval for an unknown population mean m when the population standard deviation s is unknown The computed confidence interval depends on...

Страница 357: ...ence interval item 9 computes a confidence interval for the difference between two population means m1Nm2 when both population standard deviations s1 and s2 are known The computed confidence interval...

Страница 358: ...wo sample t confidence interval item 0 computes a confidence interval for the difference between two population means m1Nm2 when both population standard deviations s1 and s2 are unknown The computed...

Страница 359: ...Chapter 13 Inferential Statistics and Distributions 356 SAMP1 12 207 16 869 25 05 22 429 8 456 10 589 SAMP2 11 074 9 686 12 064 9 351 8 182 6 642 Data Stats Input Calculated results...

Страница 360: ...es in the sample x and the count of observations in the sample n The computed confidence interval depends on the user specified confidence level 2 PropZInt 2 PropZInt 2 PropZInt 2 PropZInt 2 PropZInt...

Страница 361: ...square test for association on the two way table of counts in the specified Observed matrix The null hypothesis H0 for a two way table is no association exists between row variables and column variabl...

Страница 362: ...ns 359 Expected prompt enter the matrix variable name to which you want the computed expected counts to be stored default B Matrix editor Note Press y 1 to select 1 A from the MATRX EDIT menu Input No...

Страница 363: ...population that conforms to a specified distribution For example c2 GOF can confirm that the sample data came from a normal distribution In the example list 1 16 25 22 8 10 list 2 16 2 21 6 16 2 14 4...

Страница 364: ...an test to compare two normal population standard deviations s1 and s2 The population means and standard deviations are all unknown 2 Samp Test which uses the ratio of sample variances Sx12 Sx22 test...

Страница 365: ...Chapter 13 Inferential Statistics and Distributions 362 In the example SAMP4 SAMP5 7 L1 L4 12 18 L1 17 L3 L3 3 L5 L5 1 5 10 2 11 L11 L2 L1 L3 Data Stats Input Calculated results...

Страница 366: ...b 0 equivalently r 0 against one of the alternatives below Ha b 0 and r 0 b r 0 Ha b 0 and r 0 b r 0 Ha b 0 and r 0 b r 0 The regression equation is automatically stored to RegEQ VARS Statistics EQ s...

Страница 367: ...list name RESID automatically RESID is placed on the LIST NAMES menu Note For the regression equation you can use the fix decimal mode setting to control the number of digits stored after the decimal...

Страница 368: ...the slope coefficient b If the confidence interval contains 0 this is insufficient evidence to indicate that the data exhibits a linear relationship In the example list 1 4 5 6 7 8 list 2 1 2 3 3 5 4...

Страница 369: ...ariable for storing the regression equation StoreRegEqn optional is the designated variable for storing the regression equation The C level is the Confidence level probability with default 95 ANOVA AN...

Страница 370: ...Statistics Input Descriptions The tables in this section describe the inferential statistics inputs discussed in this chapter You enter values for these inputs in the inferential stat editors The tabl...

Страница 371: ...t be a real number 0 s2 The known population standard deviation from the second population for the two sample tests and intervals Must be a real number 0 List1 List2 The names of the lists containing...

Страница 372: ...vations in sample one for the 2 PropZTest and 2 PropZInt Must be an integer 0 n2 The count of observations in sample two for the 2 PropZTest and 2 PropZInt Must be an integer 0 C Level The confidence...

Страница 373: ...ist Ylist The names of the lists containing the data for LinRegTTest and LinRegTInt Defaults are L1 and L2 respectively The dimensions of Xlist and Ylist must be the same RegEQ The prompt for the name...

Страница 374: ...ed sample proportion for population 1 1 1 TEST estimated sample proportion for population 2 2 2 TEST confidence interval pair lower upper TEST mean of x values v v XY sample standard deviation of x Sx...

Страница 375: ...rmalpdf nn probability density function 2 normalcdf nn cumulative distribution function 3 invNorm Inverse cumulative normal distribution 4 invT Inverse cumulative Student t distribution 5 tpdf Student...

Страница 376: ...ty density function pdf for the normal distribution at a specified x value The defaults are mean m 0 and standard deviation s 1 To plot the normal distribution paste normalpdf to the Y editor The prob...

Страница 377: ...falls between them and then select 0 ZoomFit from the ZOOM menu normalcdf normalcdf normalcdf normalcdf normalcdf computes the normal distribution probability between lowerbound and upperbound for th...

Страница 378: ...normal distribution curve specified by mean m and standard deviation s It calculates the x value associated with an area to the left of the x value 0 area 1 must be true The defaults are m 0 and s 1 i...

Страница 379: ...ust be 0 To plot the Student t distribution paste tpdf to the Y editor The probability density function pdf is tpdf x df tcdf tcdf tcdf tcdf tcdf computes the Student t distribution probability betwee...

Страница 380: ...unction pdf for the c2 chi square distribution at a specified x value df degrees of freedom must be an integer 0 To plot the c2 distribution paste c2 pdf to the Y editor The probability density functi...

Страница 381: ...r 0 c2cdf lowerbound upperbound df Fpdf Fpdf Fpdf Fpdf pdf computes the probability density function pdf for the distribution at a specified x value numerator df degrees of freedom and denominator df...

Страница 382: ...r df degrees of freedom and denominator df numerator df and denominator df must be integers 0 cdf lowerbound upperbound numerator df denominator df binompdf binompdf binompdf binompdf binompdf compute...

Страница 383: ...umtrials binompdf numtrials p x binomcdf binomcdf binomcdf binomcdf binomcdf computes a cumulative probability at x for the discrete binomial distribution with the specified numtrials and probability...

Страница 384: ...f is poissonpdf m x poissoncdf poissoncdf poissoncdf poissoncdf poissoncdf computes a cumulative probability at x for the discrete Poisson distribution with the specified mean m which must be a real n...

Страница 385: ...the discrete geometric distribution with the specified probability of success p 0 p 1 must be true x can be a real number or a list of real numbers geometcdf p x Distribution Shading Distribution Shad...

Страница 386: ...1 99 specify infinity If you want to view the area left of upperbound for example specify lowerbound L1 99 ShadeNorm ShadeNorm ShadeNorm ShadeNorm ShadeNorm draws the normal density function specifie...

Страница 387: ...ade_t Shade_t Shade_t draws the density function for the Student t distribution specified by df degrees of freedom and shades the area between lowerbound and upperbound Shade_t lowerbound upperbound d...

Страница 388: ...df degrees of freedom and shades the area between lowerbound and upperbound Shadec2 lowerbound upperbound df ShadeF ShadeF ShadeF ShadeF Shade draws the density function for the distribution specifie...

Страница 389: ...Chapter 13 Inferential Statistics and Distributions 386 Shade lowerbound upperbound numerator df denominator df Note For this example Xmin 0 Xmax 5 Ymin L 25 Ymax 9...

Страница 390: ...nal TI 84 Plus software applications that allow you to customize further your calculator s functionality The calculator reserves 1 54 M of space within ROM memory specifically for applications Your TI...

Страница 391: ...r for details You have found a car you would like to buy The car costs 9 000 You can afford payments of 250 per month for four years What annual percentage rate APR will make it possible for you to af...

Страница 392: ...C VARS menu The TVM Solver is displayed Press 48 to store 48 months to Press 9000 to store 9 000 to PV Press 250 to store L250 to PMT Negation indicates cash outflow Press 0 to store 0 to FV Press 12...

Страница 393: ...rom the CALC VARS menu The TVM Solver is displayed Press 7 to enter the number of periods in years Press 1250 to enter the present value as a cash outflow investment Press 0 to specify no payments Pre...

Страница 394: ...ction describes the five TVM variables PV PMT and FV and P Y and C Y PMT END BEGIN in the TVM Solver corresponds to the FINANCE CALC menu items Pmt_End payment at the end of each period and Pmt_Bgn pa...

Страница 395: ...r square in the left column designates the solution variable Using the Financial Functions Using the Financial Functions Using the Financial Functions Using the Financial Functions Entering Cash Inflo...

Страница 396: ...4 tvm_PV Computes the present value 5 tvm_ Computes the number of payment periods 6 tvm_FV Computes the future value 7 npv Computes the net present value 8 irr Computes the internal rate of return 9 b...

Страница 397: ...l instruments such as annuities loans mortgages leases and savings Each TVM function takes zero to six arguments which must be real numbers The values that you specify as arguments for TVM functions a...

Страница 398: ...lver Then the payment tvm_Pmt is computed on the home screen using the values in the TVM Solver Next the interest rate is changed to 9 5 to illustrate the effect on the payment amount tvm_I tvm_I tvm_...

Страница 399: ...pplications 396 tvm_PV PMT FV P Y C Y tvm_N tvm_N tvm_N tvm_N tvm_ computes the number of payment periods tvm_ PV PMT FV P Y C Y tvm_FV tvm_FV tvm_FV tvm_FV tvm_FV computes the future value tvm_FV PV...

Страница 400: ...d irr use these arguments interest rate is the rate by which to discount the cash flows the cost of money over one period CF0 is the initial cash flow at time 0 it must be a real number CFList is a li...

Страница 401: ...ent values for the cash inflows and outflows A positive result for npv indicates a profitable investment npv interest rate CF0 CFList CFFreq irr internal rate of return is the interest rate at which t...

Страница 402: ...at which you want to calculate a balance It must be a positive integer 10 000 roundvalue specifies the internal precision the calculator uses to calculate the balance if you do not specify roundvalue...

Страница 403: ...t if you do not specify roundvalue the TI 84 Plus uses the current Float Fix decimal mode setting GInt pmt1 pmt2 roundvalue Amortization Example Calculating an Outstanding Loan Balance Amortization Ex...

Страница 404: ...Press to place the cursor on the PV prompt Press to solve for the present value 5 Press o to display the parametric Y editor Turn off all stat plots Press to define X1T as T Press 9 to define Y1T as b...

Страница 405: ...ersion Use the interest conversion functions menu items B and C to convert interest rates from an annual effective rate to a nominal rate 4Nom or from a nominal rate to an annual effective rate 4Eff 4...

Страница 406: ...0 4Eff nominal rate compounding periods Finding Days between Dates Defining Payment Finding Days between Dates Defining Payment Finding Days between Dates Defining Payment Finding Days between Dates D...

Страница 407: ...od Defining the Payment Method Pmt_End and Pmt_Bgn menu items E and F specify a transaction as an ordinary annuity or an annuity due When you execute either command the TVM Solver is updated Pmt_End P...

Страница 408: ...the TVM Variables Using the TVM Variables Using the TVM Variables Using the TVM Variables FINANCE VARS Menu FINANCE VARS Menu FINANCE VARS Menu FINANCE VARS Menu To display the FINANCE VARS menu pres...

Страница 409: ...ically changes to the same value To store a unique value to C Y you must store the value to C Y after you have stored a value to P Y The EasyData App The EasyData App The EasyData App The EasyData App...

Страница 410: ...ed data has been transferred to lists L1 through L4 on the TI 84 Plus 2 Press OK press s to quit EasyData Settings EasyData Settings EasyData Settings EasyData Settings Changing EasyData settings Easy...

Страница 411: ...ions When the option is correct select Next to move to the next option 4 To change a setting enter 1 or 2 digits and then select Next press q 5 When all the settings are correct select OK press s to r...

Страница 412: ...ion To stop sampling before it automatically stops select Stop press and hold q at any time during the sampling process When sampling stops a graph of the sampled data is displayed Saving Collected Da...

Страница 413: ...Chapter 14 Applications 410...

Страница 414: ...n alphabetical list of all functions and instructions on the TI 84 Plus You also can access each CATALOG item from a menu or the keyboard except The six string functions The six hyperbolic functions T...

Страница 415: ...lpha lock is on Items that begin with a number are in alphabetical order according to the first letter after the number For example 2 PropZTest is among the items that begin with the letter P Function...

Страница 416: ...combine to form a string Count each number letter and space as one character Count each instruction or function name such as sin or cos as one character the TI 84 Plus interprets each instruction or f...

Страница 417: ...ation marks do not count as string characters Storing Strings to String Variables Storing Strings to String Variables Storing Strings to String Variables Storing Strings to String Variables String Var...

Страница 418: ...ring to a String Variable Storing a String to a String Variable To store a string to a string variable follow these steps 1 Press enter the string and press 2 Press 3 Press 7 to display the VARS STRIN...

Страница 419: ...the VARS STRING menu and then press The string is displayed String Functions and Instructions in the CATALOG String Functions and Instructions in the CATALOG String Functions and Instructions in the C...

Страница 420: ...n Concatenation To concatenate two or more strings follow these steps 1 Enter string1 which can be a string or string name 2 Press CATALOG Equ4String Converts an equation to a string expr Converts a s...

Страница 421: ...LOG Selecting a String Function from the CATALOG Selecting a String Function from the CATALOG To select a string function or instruction and paste it to the current screen follow the steps for selecti...

Страница 422: ...expr string inString inString inString inString inString returns the character position in string of the first character of substring string can be a string or a string variable start is an optional...

Страница 423: ...a string or string variable Note An instruction or function name such as sin or cos counts as one character length string String String String String4Equ Equ Equ Equ String4Equ converts string into a...

Страница 424: ...rst character of the subset length is the number of characters in the subset sub string begin length Entering a Function to Graph during Program Execution Entering a Function to Graph during Program E...

Страница 425: ...erbolic Functions in the CATALOG Hyperbolic Functions Hyperbolic Functions Hyperbolic Functions Hyperbolic Functions The hyperbolic functions are available only from the CATALOG The table below lists...

Страница 426: ...expressions and lists sinh value cosh value tanh value sinh sinh sinh sinh 1 cosh cosh cosh cosh 1 tanh tanh tanh tanh 1 sinh 1 is the hyperbolic arcsine function cosh 1 is the hyperbolic arccosine fu...

Страница 427: ...Chapter 15 CATALOG Strings Hyperbolic Functions 424 sinh 1 value cosh 1 value sinh 1 value...

Страница 428: ...ils A program is a set of commands that the TI 84 Plus executes sequentially as if you had entered them from the keyboard Create a program that prompts for the radius R and the height H of a cylinder...

Страница 429: ...r the expression pR2H and store it to the variable V 5 Press 3 to select 3 Disp from the PRGM I O menu Disp is pasted to the command line Press y 7 V O L U M E O I S V to set up the program to display...

Страница 430: ...number and size of programs that the TI 84 Plus can store is limited only by available memory Creating a New Program Creating a New Program Creating a New Program Creating a New Program To create a n...

Страница 431: ...tters numbers or q to complete the new program name 5 Press The program editor is displayed 6 Enter one or more program commands 7 Press y 5 to leave the program editor and return to the home screen M...

Страница 432: ...n select 2 Mem Mgmt Del from the MEMORY menu 2 Select 7 Prgm to display the PRGM editor Chapter 18 3 Press and to move the selection cursor 4 next to the program you want to delete and then press The...

Страница 433: ...ogram you must first unarchive it Entering Command Lines and Executing Programs Entering Command Lines and Executing Programs Entering Command Lines and Executing Programs Entering Command Lines and E...

Страница 434: ...ist matrix or string the program changes the value in memory during execution You can call another program as a subroutine Executing a Program Executing a Program Executing a Program Executing a Progr...

Страница 435: ...Programs Editing Programs Editing a Program Editing a Program Editing a Program Editing a Program To edit a stored program follow these steps 1 Press to display the PRGM EDIT menu 2 Select a program n...

Страница 436: ...structions and expressions on the line and then press to delete the command line including the colon Copying and Renaming Programs Copying and Renaming Programs Copying and Renaming Programs Copying a...

Страница 437: ...RGM EDIT Menus Scrolling the PRGM EXEC and PRGM EDIT Menus Scrolling the PRGM EXEC and PRGM EDIT Menus The TI 84 Plus sorts PRGM EXEC and PRGM EDIT menu items automatically into alphanumerical order E...

Страница 438: ...or only CTL I O EXEC 1 If Creates a conditional test 2 Then Executes commands when If is true 3 Else Executes commands when If is false 4 For Creates an incrementing loop 5 While Creates a conditional...

Страница 439: ...olling Program Flow Controlling Program Flow Controlling Program Flow Program control instructions tell the TI 84 Plus which command to execute next in a program If While and Repeat check a defined co...

Страница 440: ...f condition is true nonzero then the next command is executed If instructions can be nested If condition command if true command If Then If Then If Then If Then Then following an If executes a group o...

Страница 441: ...lse If Then Else Else following If Then executes a group of commands if condition is false zero End identifies the end of the group of commands If condition Then command if true command if true Else c...

Страница 442: ...y increment increment is optional default is 1 and can be negative end begin end is a maximum or minimum value not to be exceeded End identifies the end of the loop For loops can be nested For variabl...

Страница 443: ...ition is false zero the program executes each command following End While instructions can be nested While condition command while condition is true command while condition is true End command Repeat...

Страница 444: ...Then group and each If Then Else group Pause Pause Pause Pause Pause suspends execution of the program so that you can see answers or graphs During the pause the pause indicator is on in the top right...

Страница 445: ...o Lbl Goto Lbl label and Goto go to are used together for branching Lbl specifies the label for a command label can be one or two characters A through Z 0 through 99 or q Lbl label Goto causes the pro...

Страница 446: ...he answer is value which can be an expression the next command is skipped if the answer is value the next command is executed variable cannot be a system variable IS variable value command if answer v...

Страница 447: ...ng instruction Menu Menu Menu Menu Menu sets up branching within a program If Menu is encountered during program execution the menu screen is displayed with the specified menu items the pause indicato...

Страница 448: ...to selecting existing programs from the PRGM EXEC menu however it allows you to enter the name of a program that you have not yet created prgmname Note You cannot directly enter the subroutine name w...

Страница 449: ...iable GraphStyle GraphStyle GraphStyle GraphStyle GraphStyle designates the style of the graph to be drawn function is the number of the Y function name in the current graphing mode graphstyle is a nu...

Страница 450: ...M I O program input output menu press from within the program editor only CTL I O EXEC 1 Input Enters a value or uses the cursor 2 Prompt Prompts for entry of variable values 3 Disp Displays text valu...

Страница 451: ...the program editor without selecting an item press Displaying a Graph with Input Displaying a Graph with Input Displaying a Graph with Input Displaying a Graph with Input Input without a variable dis...

Страница 452: ...ion and then press The value is evaluated and stored to variable and the program resumes execution Input variable You can display text or the contents of Strn a string variable of up to 16 characters...

Страница 453: ...are not valid with Prompt Displaying the Home Screen Displaying the Home Screen Displaying the Home Screen Displaying the Home Screen Disp display without a value displays the home screen To view the...

Страница 454: ...resume execution press Note If a matrix or list is too large to display in its entirety ellipses are displayed in the last column but the matrix or list cannot be scrolled To scroll use Pause value Di...

Страница 455: ...any existing characters Note You may want to precede Output with ClrHome Expressions are evaluated and values are displayed according to the current mode settings Matrices are displayed in entry forma...

Страница 456: ...y pressed according to the key code diagram below If no key has been pressed getKey returns 0 Use getKey inside loops to transfer control for example when creating video games Note You can press at an...

Страница 457: ...clears the home screen during program execution ClrTable clear table clears the values in the table during program execution GetCalc GetCalc GetCalc GetCalc GetCalc gets the contents of variable on a...

Страница 458: ...CBL 2 or CBR and stores it to variable on the receiving TI 84 Plus variable can be a real number list element list name matrix element matrix name string Y variable graph database or picture Get varia...

Страница 459: ...I 84 Plus any stored program can be called from another program as a subroutine Enter the name of the program to use as a subroutine on a line by itself You can enter a program name on a command line...

Страница 460: ...g Programs Notes about Calling Programs Notes about Calling Programs Variables are global label used with Goto and Lbl is local to the program where it is located label in one program is not recognize...

Страница 461: ...and lose all data programs and applications stored in memory When you download an assembly language program it is stored among the other programs as a PRGM menu item You can Transmit it using the TI 8...

Страница 462: ...he PRGM EXEC menu 4 Select the program you want to compile It will be pasted to the home screen 5 Press and then select prgm from the CATALOG 6 Key in the name you have chosen for the output program N...

Страница 463: ...ic equations 3x2 5x 2 0 and 2x2 N x 3 0 Begin with the equation 3x2 5x 2 0 1 Press 3 A above to store the coefficient of the x2 term 2 Press above The colon allows you to enter more than one instructi...

Страница 464: ...n as a fraction 5 Press B y C B 4 A C 2 A to enter the expression for one of the solutions for the quadratic formula 6 Press to find one solution for the equation 3x2 5x 2 0 The answer is shown on the...

Страница 465: ...s 1 to select 1 4Frac from the MATH menu When you press 1 Ans4Frac is displayed on the home screen Ans is a variable that contains the last calculated answer 3 Press to convert the result to a fractio...

Страница 466: ...u set a bi complex number mode the TI 84 Plus displays complex results 5 Press to move the cursor onto the sign in the formula Press to edit the quadratic formula expression to become 6 Press to find...

Страница 467: ...3 C The coefficient of the x2 term the coefficient of the X term and the constant for the new equation are stored to A B and C respectively 4 Press y to recall the store instruction and then press y a...

Страница 468: ...ive for solving equations for real numbers is to use the built in Equation Solver 6 Press y repeatedly until this quadratic formula expression is displayed 7 Press to find the other solution for the q...

Страница 469: ...cm rectangles from the other two corners as shown in the diagram below Fold the paper into a box with a lid What value of X would give your box the maximum volume V Use the table and graphs to determ...

Страница 470: ...blem 2 Press 20 2 25 2 to define the volume function as Y1 in terms of X lets you enter X quickly without having to press The highlighted sign indicates that Y1 is selected 1 Press y above p to displa...

Страница 471: ...e table until a negative result for Y1 is displayed Notice that the maximum length of X for this problem occurs where the sign of Y1 box s volume changes from positive to negative between 10 and 11 6...

Страница 472: ...ere 3 6 X 3 8 4 Press y Press 3 6 to set TblStart Press 01 to set Tbl 5 Press y 0 and then press and to scroll the table Four equivalent maximum values are shown 410 26 at X 3 67 3 68 3 69 and 3 70 6...

Страница 473: ...ow defines the displayed portion of the coordinate plane The values of the window variables determine the size of the viewing window 7 Press to display the other maximum The value of Y1 at X 3 68 in f...

Страница 474: ...s of the display Xscl and Yscl define the distance between tick marks on the X and Y axes Xres controls resolution 2 Press 0 to define Xmin 3 Press 20 2 to define Xmax using an expression 4 Press The...

Страница 475: ...graph You can trace along a function using the TRACE feature 1 Press s to graph the selected function in the viewing window The graph of Y1 20N2X 25 2NX X is displayed 2 Press to activate the free mo...

Страница 476: ...1 at each X You also can enter your estimate for the maximum value of X 6 Press 3 8 When you press a number key while in TRACE the X prompt is displayed in the bottom left corner 7 Press The trace cur...

Страница 477: ...nu is a typical TI 84 Plus menu To select an item you can either press the number or letter next to the item or you can press until the item number or letter is highlighted and then press 2 Press 2 to...

Страница 478: ...calculate a local maximum of a function 4 Press p to display the new window settings 1 Press y above r to display the CALCULATE menu Press 4 to select 4 maximum The graph is displayed again with a Lef...

Страница 479: ...ximum and then press Or press 3 8 and then press to enter a guess for the maximum When you press a number key in TRACE the X prompt is displayed in the bottom left corner Notice how the values for the...

Страница 480: ...side of their brains The TI Graphics team conducted a similar test for adult men and women The test involved 30 small objects which participants were not allowed to see First they held 15 of the objec...

Страница 481: ...Women Left Press to move to WRGHT and enter the number of correct guesses each woman made using her right hand Women Right 4 Likewise enter each man s correct guesses in MLEFT Men Left and MRGHT Men R...

Страница 482: ...were the women more accurate guessers according to the box plots 9 Examine the men s results Redefine plot 1 to use MLEFT redefine plot 2 to use MRGHT Press r Press and to examine minX Q1 Med Q3 and m...

Страница 483: ...Q1 Med Q3 and maxX for each plot Who were the better right hand guessers In the original experiment boys did not guess as well with right hands while girls guessed equally well with either hand This i...

Страница 484: ...kph plus 20 for each kph from 66 kph and above Graph the piecewise function that describes the cost of the ticket The fine Y as a function of kilometers per hour X is Procedure Procedure Procedure Pr...

Страница 485: ...y 5 to return to the home screen Store 1 to X and then store 5 to Y X and Y are on the VARS Window X Y secondary menu X and Y specify the horizontal and vertical distance between the centers of adjac...

Страница 486: ...edure Procedure Procedure 1 Press z Select Dot Simul and the default settings Setting Dot mode changes all graph style icons to dot in the Y editor 2 Press o Turn off all functions and stat plots Ente...

Страница 487: ...Chapter 17 Activities 484 6 Press o Turn off Y4 Y5 and Y6 Enter equations to graph only the inequality 7 Press r Notice that the values of Y7 and Y8 are zero where the inequality is false...

Страница 488: ...tem of two equations and two unknowns y x3 N2x and y 2cos x Use ZOOM factors to control the decimal places displayed on the graph Procedure Procedure Procedure Procedure 1 Press z Select the default m...

Страница 489: ...lues have two decimal places 6 Press to zoom in again Move the free moving cursor onto a point exactly on the intersection Notice the number of decimal places 7 Press y 5 to select 5 intersect Press t...

Страница 490: ...Setting up the Program Setting up the Program This program creates a drawing of a famous fractal the Sierpinski Triangle and stores the drawing to a picture To begin press 1 Name the program SIERPINS...

Страница 491: ...ram above you can recall and display the picture with the instruction RecallPic 6 If 1 3 N and N 2 3 Then 5 5 X X 5 1 Y Y End If Then group If 2 3 N Then 5 1 X X 5Y Y End If Then group Pt On X Y End S...

Страница 492: ...and the default mode settings Press y Select Web format and the default format settings 2 Press o Clear all functions and turn off all stat plots Enter the sequence that corresponds to the expression...

Страница 493: ...Chapter 17 Activities 490 6 Change K to 3 44 and trace the graph to show a cobweb with two attractors 7 Change K to 3 54 and trace the graph to show a cobweb with four attractors...

Страница 494: ...Up the Program This program graphs the function A sin BX with random integer coefficients between 1 and 10 Try to guess the coefficients and graph your guess as C sin DX The program continues until yo...

Страница 495: ...cl Set viewing window DispGraph Pause Display graph FnOn 2 Lbl Z Prompt C D Prompt for guess DispGraph Pause Display graph If C A Text 1 1 C IS OK If C A Text 1 1 C IS WRONG If D B Text 1 50 D IS OK I...

Страница 496: ...Chapter 17 Activities 493 If C A and D B Stop Goto Z Quit if guesses are correct...

Страница 497: ...to show the relationship between them Any function that can be plotted in Func mode can be plotted in Par mode by defining the X component as T and the Y component as F T Procedure Procedure Procedur...

Страница 498: ...graph is plotting you may press to pause and again to resume graphing as you watch the sine function unwrap from the unit circle Note You can generalize the unwrapping Replace sin T in Y2T with any o...

Страница 499: ...ess p Set the viewing window 3 Press o Turn off all functions and stat plots Enter the upper and lower functions Y1 300X X2 625 Y2 3cos 1X 4 Press y 5 to select 5 Intersect The graph is displayed Sele...

Страница 500: ...to the home screen Press y 7 and use Shade to see the area graphically Shade Y2 Y1 Ans 75 6 Press y 5 to return to the home screen Enter the expression to evaluate the integral for the shaded region...

Страница 501: ...elow describe the location of a ferris wheel passenger at time T where a is the angle of rotation 0 0 is the bottom center of the ferris wheel and 10 10 is the passenger s location at the rightmost po...

Страница 502: ...h of the ferris wheel and the path of the ball Set the graph style for X2T to path Note Try setting the graph styles to X1T and X2T which simulates a chair on the ferris wheel and the ball flying thro...

Страница 503: ...here the paths cross Notice the values of X Y and T 7 Press to move to the path of the ball Notice the values of X and Y T is unchanged Notice where the cursor is located This is the position of the b...

Страница 504: ...Chapter 17 Activities 501 You can use r to in effect take snapshots in time and explore the relative behavior of two objects in motion...

Страница 505: ...iv from the MATH menu to graph functions defined by integrals and derivatives demonstrates graphically that and that Procedure 1 Procedure 1 Procedure 1 Procedure 1 1 Press z Select the default settin...

Страница 506: ...Y1 and Y2 5 Press o Turn off Y1 and Y2 and then enter the numerical derivative of the integral of 1 X and the function 1 X Set the graph style for Y3 to line and Y4 to thick 6 Press r Again use the cu...

Страница 507: ...2 1 Press o Turn off all functions and stat plots Use a list to define these three functions simultaneously Store the function in Y5 2 Press q 6 to select 6 ZStandard 3 Press r Notice that the functio...

Страница 508: ...Chapter 17 Activities 505 5 Press r Notice that although the three graphs defined by Y5 are different they share the same derivative...

Страница 509: ...he fact that the limiting case is the area of a circle pr2 Consider the formula A NB2 sin p N cos p N for the area of a regular polygon with N sides of equal length and B distance from the center to a...

Страница 510: ...0 and N 6 To find the distance B move the cursor onto B and then press 6 Enter N 8 To find the distance B move the cursor onto B and then press Find B for N 9 and then for N 10 Find the area given B 6...

Страница 511: ...ss o Turn off all functions and stat plots Enter the equation for the area Use X in place of N Set the graph styles as shown 11 Press r After the graph is plotted press 100 to trace to X 100 Press 150...

Страница 512: ...Chapter 17 Activities 509 asymptote to Y1 The area of an N sided regular polygon with r as the distance from the center to a vertex approaches the area of a circle with radius r pr2 as N gets large...

Страница 513: ...plied to the principal when they make the 240th payment 20 years from now Procedure Procedure Procedure Procedure 1 Press z and set the fixed decimal mode to 2 decimal places Set the other mode settin...

Страница 514: ...Enter these equations and set the graph styles as shown Note GPrn and GInt are located on the FINANCE menu APPS 1 FINANCE 6 Press p Set these window variables Note To increase the graph speed change T...

Страница 515: ...58 03 Note The sum of the payments Y3T Y1T Y2T is always 800 8 Press to move the cursor onto the function for interest defined by X2T and Y2T Enter 240 The graph shows that for the 240th payment X 240...

Страница 516: ...Chapter 17 Activities 513 At which monthly payment will the principal allocation surpass the interest allocation...

Страница 517: ...memory or manage existing memory by selecting items from the MEMORY menu To access this menu press y L To check memory availability first press y L and then select 2 Mem Mgmt Del MEMORY 1 About Displa...

Страница 518: ...sectors of Flash ROM where Apps are stored Note Some Apps take up several App slots Displaying the About Screen Displaying the About Screen Displaying the About Screen Displaying the About Screen Abou...

Страница 519: ...of memory each variable type is using This information can help you determine if you need to delete variables from memory to make room for new data such as programs or Apps To check memory usage follo...

Страница 520: ...usage Notes Real List Y Vars and Prgm variable types never reset to zero even after memory is cleared Apps are independent applications which are stored in Flash ROM AppVars is a variable holder used...

Страница 521: ...Chapter 18 Memory and Variable Management 518 To leave the MEMORY MANAGEMENT DELETE menu press either y 5 or Both options display the home screen...

Страница 522: ...plex number list matrix Y variable program Apps AppVars picture graph database or string follow these steps 1 Press y L to display the MEMORY menu 2 Select 2 Mem Mgmt Del to display the MEMORY MANAGEM...

Страница 523: ...by one from this screen No warning will be given to verify the deletion Note If you are deleting programs or Apps you will receive a message asking you to confirm this delete action Select 2 Yes to c...

Страница 524: ...he MEMORY menu 2 Select 3 Clear Entries to paste the instruction to the home screen 3 Press to clear the ENTRY storage area To cancel Clear Entries press Note If you select 3 Clear Entries from within...

Страница 525: ...0 To cancel ClrAllLists press ClrAllLists does not delete list names from memory from the LIST NAMES menu or from the stat list editor Note If you select 4 ClrAllLists from within a program the ClrAll...

Страница 526: ...ed variables cannot be edited or executed They can only be seen and unarchived For example if you archive list L1 you will see that L1 exists in memory but if you select it and paste the name L1 to th...

Страница 527: ...cable Stat plots Plot1 Plot2 Plot3 no not applicable Graph databases GDB1 GDB2 yes yes Graph pictures Pic1 Pic2 Pic9 Pic0 yes yes Strings Str1 Str2 Str9 Str0 yes yes Tables TblStart Tb1 TblInput no no...

Страница 528: ...that when you unarchive a variable not all the memory associated with that variable in user data archive will be released since the system keeps track of where the variable has been and where it is no...

Страница 529: ...Select 5 Archive or 6 UnArchive to place the command in the Home screen 3 Press y d to place the L1 variable in the Home screen 4 Press to complete the archive process Note An asterisk will be display...

Страница 530: ...Y MANAGEMENT DELETE menu 3 Select 4 List to display the LIST menu 4 Press to archive L1 An asterisk will appear to the left of L1 to indicate it is an archived variable To unarchive a variable in this...

Страница 531: ...Chapter 18 Memory and Variable Management 528 5 Press y 5 to leave the LIST menu Note You can access an archived variable for the purpose of linking deleting or unarchiving it but you cannot edit it...

Страница 532: ...ograms in RAM will be erased For archive memory you can reset variables Vars applications Apps or both of these Be aware that if you choose to reset Vars all data and programs in archive memory will b...

Страница 533: ...M Memory Resetting RAM Memory Resetting RAM Memory Resetting all RAM restores RAM system variables to factory settings and deletes all nonsystem variables and all programs Resetting RAM defaults resto...

Страница 534: ...reset defaults select 2 Reset Depending on your choice the message RAM cleared or Defaults set is displayed on the home screen Resetting Archive Memory Resetting Archive Memory Resetting Archive Memor...

Страница 535: ...2 Select one of the following 1 Vars to display the RESET ARC VARS menu 2 Apps to display the RESET ARC APPS menu 3 Both to display the RESET ARC BOTH menu 3 Read the message below the menu To cancel...

Страница 536: ...memory is restored to factory settings All nonsystem variables applications and programs are deleted All system variables are reset to default settings Before you reset all memory consider restoring s...

Страница 537: ...nagement 534 To continue with the reset select 2 Reset The message MEM cleared is displayed on the HOME screen When you clear memory the contrast sometimes changes If the screen is faded or blank adju...

Страница 538: ...iables residing in RAM and then store them as a group in user data archive The variables in RAM are not erased The variables must exist in RAM before they can be grouped In other words archived data c...

Страница 539: ...ers can be letters numbers or q 5 Select the type of data you want to group You can select 1 All which shows all variables of all types available and selected You can also select 2 All which shows all...

Страница 540: ...he first item you want to copy into a group and then press A small square will remain to the left of all variables selected for grouping Repeat the selection process until all variables for the new gr...

Страница 541: ...eName Menu DuplicateName Menu During the ungrouping action if a duplicate variable name is detected in RAM the DUPLICATE NAME menu is displayed Notes about Menu Items Notes about Menu Items Notes abou...

Страница 542: ...ate variable names found in RAM Ungrouping resumes When you select 4 Omit the unit does not ungroup the variable in conflict with the duplicated variable name found in RAM Ungrouping resumes with the...

Страница 543: ...and to move the selection cursor 4 next to the group variable you want to ungroup and then press The ungroup action is completed Note Ungrouping does not remove the group from user data archive You mu...

Страница 544: ...ere is not enough memory The message can also alert you when a program is caught in a loop that repetitively fills the user data archive Select No to cancel the garbage collection process and then fin...

Страница 545: ...llection Necessary Why Is Garbage Collection Necessary The user data archive is divided into sectors When you first begin archiving variables are stored consecutively in sector 1 This continues to the...

Страница 546: ...rchiving a Variable Affects the Process When you unarchive a variable it is copied to RAM but it is not actually deleted from user data archive memory Unarchived variables are marked for deletion mean...

Страница 547: ...Garbage Collection Process The Garbage Collection Process The garbage collection process Note Power loss during garbage collection may cause all memory RAM and Archive to be deleted Using the GarbageC...

Страница 548: ...OG 2 Press or to scroll the CATALOG until the selection cursor points to the GarbageCollect command or press G to skip to the commands starting with the letter G 3 Press to paste the command to the HO...

Страница 549: ...ufficient space to store an application within a continuous block of memory When the message is displayed it will indicate the largest single space of memory available for storing a variable and an ap...

Страница 550: ...g Variables Getting Started is a fast paced introduction Read the chapter for details Create and store a variable and a matrix and then transfer them to another TI 84 Plus 1 On the home screen of the...

Страница 551: ...ush both ends in firmly 8 On the receiving unit press y 8 to display the RECEIVE menu Press 1 to select 1 Receive The message Waiting is displayed and the busy indicator is on 9 On the sending unit pr...

Страница 552: ...press to display the TRANSMIT menu 14 On the sending unit press 1 to select 1 Transmit and begin transmission The receiving unit displays the message Receiving When the items are transmitted both unit...

Страница 553: ...t to Unit Cable or Connecting Two Graphing Calculators with a USB Unit to Unit Cable or Connecting Two Graphing Calculators with a USB Unit to Unit Cable or Connecting Two Graphing Calculators with a...

Страница 554: ...t and analyze real world data The TI 84 Plus I O link port is located at the top left edge of the graphing calculator 1 Firmly insert either end of the I O unit to unit cable into the port 2 Insert th...

Страница 555: ...nking to a Computer Linking to a Computer Linking to a Computer Linking to a Computer With TI Connect software and the USB computer cable that is included with your TI 84 Plus you can link the graphin...

Страница 556: ...g RAM and Flash applications 2 AllN Displays all items as deselected 3 Prgm Displays all program names 4 List Displays all list names 5 Lists to TI82 Displays list names L1 through L6 6 GDB Displays a...

Страница 557: ...lection cursor 4 to an item you want to select or deselect 4 Press to select or deselect the item Selected names are marked with a 0 D AppVars Displays all software application variables E Group Displ...

Страница 558: ...Selected Items Sending the Selected Items Sending the Selected Items After you have selected items to send on the sending unit and set the receiving unit to receive follow these steps to transmit the...

Страница 559: ...ssage Done is displayed on both calculators Press and to scroll through the names Sending to a TI 84 Plus Silver Edition or TI 84 Plus Sending to a TI 84 Plus Silver Edition or TI 84 Plus Sending to a...

Страница 560: ...nits together 2 On the sending unit press y 8 and select a data type and items to SEND 3 Press on the sending unit to display the TRANSMIT menu 4 On the other unit press y 8 to display the RECEIVE men...

Страница 561: ...TI 84 Plus are variable types recognized and used on the TI 83 Plus or TI 83 Plus Silver Edition you can send these variables to the TI 83 Plus or TI 83 Plus Silver Edition They will be automatically...

Страница 562: ...E menu on the receiving unit the message Waiting and the busy indicator are displayed The receiving unit is ready to receive transmitted items To exit the receive mode without receiving items press an...

Страница 563: ...the duplicated variable name Transmission resumes with the next item When you select 4 Quit transmission stops and the receiving unit exits receive mode Receiving from a TI 84 Plus Silver Edition or...

Страница 564: ...83 Plus Silver Edition or TI 83 Plus Receiving from a TI 83 Plus Silver Edition or TI 83 Plus The TI 84 Plus product family and the TI 83 Plus product family are compatible with a few exceptions Rece...

Страница 565: ...y and mode settings no Flash applications or archived items to another TI 84 Plus Silver Edition You can also backup RAM memory and mode settings to a TI 84 Plus To perform a RAM memory backup 1 Use a...

Страница 566: ...kup and return to the LINK SEND menu Note If a transmission error is returned during a backup the receiving unit is reset Memory Backup Complete Memory Backup Complete Memory Backup Complete Memory Ba...

Страница 567: ...ypes and features not recognized by the TI 83 TI 83 Plus TI 82 or TI 73 include applications application variables grouped variables new variable types or programs with new features in them such as Ar...

Страница 568: ...Unit Insufficient Memory in Receiving Unit Insufficient Memory in Receiving Unit During transmission if the receiving unit does not have sufficient memory to receive an item the Memory Full menu is di...

Страница 569: ...ction or instruction to the home screen or to a command line in the program editor However some functions and instructions are not valid on the home screen The items in this table appear in the same o...

Страница 570: ...ance for comparing the means of two to 20 populations TESTS H ANOVA Ans Returns the last answer y Z Archive Moves the specified variables from RAM to the user data archive memory y L 5 Archive Asm ass...

Страница 571: ...axes y AxesOn a bi Sets the mode to rectangular complex number mode a bi z a bi bal npmt roundvalue Computes the balance at npmt for an amortization schedule using stored values for PV and PMT and ro...

Страница 572: ...df y DISTR 8 c2 cdf c2 pdf x df Computes the probability density function pdf for the c2 distribution at a specified x value for the specified degrees of freedom df y DISTR 7 c2pdf c2 LTest observedma...

Страница 573: ...ears the contents of the Last Entry storage area y L MEMORY 3 Clear Entries ClockOff Turns off the clock display in the mode screen y N ClockOff ClockOn Turns on the clock display in the mode screen y...

Страница 574: ...Connected Sets connected plotting mode resets all Y editor graph style settings to z Connected CoordOff Turns off cursor coordinate value display y CoordOff CoordOn Turns on cursor coordinate value d...

Страница 575: ...t starting with the first element y 9 OPS 6 cumSum cumSum matrix Returns a matrix of the cumulative sums of matrix elements Each element in the returned matrix is a cumulative sum of a matrix column f...

Страница 576: ...mode z Degree DelVar variable Deletes from memory the contents of variable CTL G DelVar DependAsk Sets table to ask for dependent variable values y Depend Ask DependAuto Sets table to generate depend...

Страница 577: ...f matrixname as a list y MATH 3 dim length dim listname Assigns a new dimension length to a new or existing listname y 9 OPS 3 dim rows columns dim matrixname Assigns new dimensions to a new or existi...

Страница 578: ...DRAW 6 DrawF DrawInv expression Draws the inverse of expression by plotting X values on the y axis and Y values on the x axis y DRAW 8 DrawInv DS variable value commandA commands Decrements variable b...

Страница 579: ...d of For If Then Else Repeat or While loop CTL 7 End Eng Sets engineering display mode z Eng Equ4String Y var Strn Converts the contents of a Y var to a string and stores it in Strn y N Equ4String exp...

Страница 580: ...between lowerbound and upperbound for the specified numerator df degrees of freedom and denominator df y DISTR 0 cdf Fill value matrixname Stores value to each element in matrixname y MATH 4 Fill Fill...

Страница 581: ...n occurs between lower and upper with specified tolerance MATH 6 fMin fnInt expression variable lower upper tolerance Returns the function integral of expression with respect to variable between lower...

Страница 582: ...st or matrix NUM 4 fPart pdf x numerator df denominator df Computes the distribution probability between lowerbound and upperbound for the specified numerator df degrees of freedom and denominator df...

Страница 583: ...the number of the trial on which the first success occurs for the discrete geometric distribution with the specified probability of success p y DISTR F geometcdf geometpdf p x Computes a probability...

Страница 584: ...ected it uses the I O port portflag 0 use USB port if connected portflag 1 use USB port portflag 2 use I O port I O 0 GetCalc getDate Returns a list giving the date according to the current value of t...

Страница 585: ...cording to the current value of the clock The list is in hour minute second format The time is returned in the 24 hour format y N getTime getTmFmt Returns an integer representing the clock time format...

Страница 586: ...format y GridOn G T Sets graph table vertical split screen mode z G T Horiz Sets horizontal split screen mode z Horiz Horizontal y Draws a horizontal line at y y DRAW 3 Horizontal identity dimension R...

Страница 587: ...condition 1 true from Else to End if condition 0 false CTL 3 Else imag value Returns the imaginary nonreal part of a complex number or list of complex numbers CPX 3 imag IndpntAsk Sets table to ask f...

Страница 588: ...ng at start y N inString int value Returns the largest integer a real or complex number expression list or matrix NUM 5 int GInt pmt1 pmt2 roundvalue Computes the sum rounded to roundvalue of the inte...

Страница 589: ...ns the interest rate at which the net present value of the cash flow is equal to zero 1 Finance CALC 8 irr IS variable value commandA commands Increments variable by 1 skips commandA if variable value...

Страница 590: ...gth string Returns the number of characters in string y N length Line X1 Y1 X2 Y2 Draws a line from X1 Y1 to X2 Y2 y DRAW 2 Line Line X1 Y1 X2 Y2 0 Erases a line from X1 Y1 to X2 Y2 y DRAW 2 Line LinR...

Страница 591: ...inRegTTest LinRegTInt Xlistname Ylistname freqlist confidence level regequ Performs a linear regression and computes the t confidence interval for the slope coefficient b TESTS G LinRegTInt List list...

Страница 592: ...regequ Fits a logistic regression model to Xlistname and Ylistname with frequency freqlist and stores the regression equation to regequ CALC B Logistic Manual Fit equname Fits a linear equation to a...

Страница 593: ...eturns a real or complex list of the larger of value or each list element y 9 MATH 2 max mean list freqlist Returns the mean of list with frequency freqlist y 9 MATH 3 mean median list freqlist Return...

Страница 594: ...listA listB Returns real or complex list of the smaller of each pair of elements in listA and listB y 9 MATH 1 min min value list Returns a real or complex list of the smaller of value or each list el...

Страница 595: ...value H Returns approximate numerical derivative of expression with respect to variable at value with specified H MATH 8 nDeriv 4Nom effective rate compounding periods Computes the nominal interest ra...

Страница 596: ...alueB at a time PRB 2 nPr value nPr list Returns a list of the permutations of value taken each element in list at a time PRB 2 nPr list nPr value Returns a list of the permutations of each element in...

Страница 597: ...splays value beginning at specified row and column I O 6 Output Param Sets parametric graphing mode z Par Pause Suspends program execution until you press CTL 8 Pause Pause value Displays value suspen...

Страница 598: ...istname data axis mark Defines Plot 1 2 or 3 of type NormProbPlot for datalistname on data axis using mark data axis can be X or Y y STAT PLOTS 1 Plot1 2 Plot2 3 Plot3 PlotsOff 1 2 3 Deselects all sta...

Страница 599: ...h specified mean m y DISTR D poissoncdf poissonpdf m x Computes a probability at x for the discrete Poisson distribution with the specified mean m y DISTR C poissonpdf Polar Sets polar graphing mode z...

Страница 600: ...for value for variableA then variableB and so on I O 2 Prompt 1 PropZInt x n confidence level Computes a one proportion z confidence interval TESTS A 1 PropZInt 2 PropZInt x1 n1 x2 n2 confidence level...

Страница 601: ...Pt Change Pt Off x y mark Erases a point at x y using mark y POINTS 2 Pt Off Pt On x y mark Draws a point at x y using mark y POINTS 1 Pt On PwrReg Xlistname Ylistname freqlist regequ Fits a power re...

Страница 602: ...62 and 0 column 94 y POINTS 7 pxl Test P4Rx r q Returns X given polar coordinates r and q or a list of polar coordinates y ANGLE 7 P4Rx P4Ry r q Returns Y given polar coordinates r and q or a list of...

Страница 603: ...a specified number of trials numtrials PRB 1 rand randBin numtrials prob numsimulations Generates and displays a random real number from a specified Binomial distribution PRB 7 randBin randInt lower...

Страница 604: ...e to display complex results only when you enter complex numbers z Real real value Returns the real part of a complex number or list of complex numbers CPX 2 real RecallGDB n Restores all settings sto...

Страница 605: ...round value decimals Returns a number expression list or matrix rounded to decimals 9 NUM 2 round row value matrix row Returns a matrix with row of matrix multiplied by value and stored in row y MATH...

Страница 606: ...a list of rectangular coordinates y ANGLE 5 R4Pr R4Pq x y Returns q given rectangular coordinates x and y or a list of rectangular coordinates y ANGLE 6 R4Pq 2 Samp Test listname1 listname2 freqlist1...

Страница 607: ...ed 0 does not pool variances TESTS 0 2 SampTInt 2 SampTInt v1 Sx1 n1 v2 Sx2 n2 confidence level pooled Summary stats input Computes a two sample t confidence interval pooled 1 pools variances pooled 0...

Страница 608: ...2 freqlist1 freqlist2 confidence level Data list input Computes a two sample z confidence interval TESTS 9 2 SampZInt 2 SampZInt s1 s2 v1 n1 v2 n2 confidence level Summary stats input Computes a two s...

Страница 609: ...stname Selects one or more specific data points from a scatter plot or xyLine plot only and then store s the selected data points to two new lists Xlistname and Ylistname y 9 OPS 8 Select Send variabl...

Страница 610: ...1 M D Y 2 D M Y 3 Y M D y N setDtFmt setTime hour minute second Sets the time using an hour minute second format The hour must be in 24 hour format in which 13 1 p m y N setTime setTmFmt integer Sets...

Страница 611: ...ttern and patres to shade the area bounded by lowerfunc upperfunc Xleft and Xright y DRAW 7 Shade Shadec2 lowerbound upperbound df Draws the density function for the c2 distribution specified by degre...

Страница 612: ...freedom df and shades the area between lowerbound and upperbound y DRAW 2 Shade_t Simul Sets mode to graph functions simultaneously z Simul sin value Returns the sine of a real number expression or li...

Страница 613: ...xpression for variable given an initial guess and lower and upper bounds within which the solution is sought MATH 0 solve SortA listname Sorts elements of listname in ascending order y 9 OPS 1 SortA S...

Страница 614: ...e y N startTmr stdDev list freqlist Returns the standard deviation of the elements in list with frequency freqlist y 9 MATH 7 stdDev Stop Ends program execution returns to home screen CTL F Stop Store...

Страница 615: ...real number expression or list y A Tangent expression value Draws a line tangent to expression at X value y DRAW 5 Tangent tanh value Returns hyperbolic tangent of a real number expression or list y...

Страница 616: ...timeCnv seconds Converts seconds to units of time that can be more easily understood for evaluation The list is in days hours minutes seconds format y N timeCnv TInterval listname freqlist confidence...

Страница 617: ...ms a t test with frequency freqlist alternative L1 is alternative 0 is alternative 1 is drawflag 1 draws results drawflag 0 calculates results TESTS 2 T Test T Test m0 v Sx n alternative drawflag Summ...

Страница 618: ...1 Finance CALC 2 tvm_Pmt tvm_PV PMT FV P Y C Y Computes the present value 1 Finance CALC 4 tvm_PV UnArchive Moves the specified variables from the user data archive memory to RAM To archive variables...

Страница 619: ...ency freqlist CALC 2 2 Var Stats variance list freqlist Returns the variance of the elements in list with frequency freqlist y 9 MATH 8 variance Vertical x Draws a vertical line at x y DRAW 4 Vertical...

Страница 620: ...window so that X 0 1 and Y 0 1 and displays the graph screen with the origin centered on the screen q ZOOM 4 ZDecimal ZInteger Redefines the viewing window using these dimensions X 1 Xscl 10 Y 1 Yscl...

Страница 621: ...nclude the minimum and maximum Y values between Xmin and Xmax of the selected functions and replots the functions q ZOOM 0 ZoomFit ZoomRcl Graphs the selected functions in a user defined viewing windo...

Страница 622: ...t in the coordinate system and updates the viewing window q ZOOM 5 ZSquare ZStandard Replots the functions immediately updating the window variables to the default values q ZOOM 6 ZStandard Z Test m0...

Страница 623: ...plots the functions immediately updating the window variables to preset values for plotting trig functions q ZOOM 7 ZTrig Factorial value Returns factorial of value PRB 4 Factorial list Returns factor...

Страница 624: ...5 x xth rootx list Returns xth root of list elements MATH 5 x listx value Returns list roots of value MATH 5 x listAx listB Returns listA roots of listB MATH 5 x Cube value3 Returns the cube of a rea...

Страница 625: ...B valueA and valueB can be real or complex numbers expressions lists or matrices y TEST 2 Less than valueA valueB Returns 1 if valueA valueB Returns 0 if valueA valueB valueA and valueB can be real or...

Страница 626: ...nd valueB can be real or complex numbers expressions or lists y TEST 4 Inverse valueL1 Returns 1 divided by a real or complex number or expression Inverse listL1 Returns 1 divided by list elements Inv...

Страница 627: ...to power Negation Lvalue Returns the negative of a real or complex number expression list or matrix Power of ten 10 value Returns 10 raised to the value power value can be a real or complex number or...

Страница 628: ...eturns matrixA times matrixB Division valueA valueB Returns valueA divided by valueB Division list value Returns list elements divided by value Division value list Returns value divided by list elemen...

Страница 629: ...tion listNvalue Subtracts value from list elements Subtraction listANlistB Subtracts listB elements from listA elements Subtraction matrixANmatrixB Subtracts matrixB elements from matrixA elements Min...

Страница 630: ...Plus can update X Y R q and T during graphing so you may want to avoid using these variables to store nongraphing data The variables list names L1 through L6 are restricted to lists you cannot store a...

Страница 631: ...M for variables that may require additional memory The names of archived variables are preceded by an asterisk indicating they are in user data archive System Variables System Variables System Variabl...

Страница 632: ...stic Logistic Logistic Logistic The logistic regression algorithm applies nonlinear recursive least squares techniques to optimize the following cost function which is the sum of the squares of the re...

Страница 633: ...lowing cost function which is the sum of the squares of the residual errors This technique attempts to recursively estimate the constants a b c and d to make J as small as possible ANOVA ANOVA ANOVA A...

Страница 634: ...m df that make up the mean squares are where I Sxi ni number of populations the mean of each list the standard deviation of each list the length of each list the mean of all lists FactorMS FactorSS Fa...

Страница 635: ...2 Samp Test for the alternative hypothesis 2 Samp Test for the alternative hypothesis Sx1 Sx2 Sample standard deviations having and degrees of freedom df respectively statistic df x pdf with degrees...

Страница 636: ...istic is used as the bound producing the smallest integral The remaining bound is selected to achieve the preceding integral s equality relationship 2 SampTTest 2 SampTTest 2 SampTTest 2 SampTTest The...

Страница 637: ...and df are dependent on whether the variances are pooled If the variances are not pooled otherwise and Sxp is the pooled variance S Sx1 2 n1 Sx2 2 n2 df Sx1 2 n1 Sx2 2 n2 2 1 n1 1 Sx1 2 n1 2 1 n2 1 Sx...

Страница 638: ...las for computing time value of money amortization cash flow interest rate conversions and days between dates Time Value of Money Time Value of Money Time Value of Money Time Value of Money where PMT...

Страница 639: ...teration used to compute i where i 0 where x i y P Y C Y where k 0 for end of period payments k 1 for beginning of period payments 0 PV PMT Gi 1 1 i N i FV 1 i N I 100 C Y e y x 1 ln 1 Gi 1 i k N PMT...

Страница 640: ...rence Information 637 where i 0 where i 0 where i 0 where i 0 where i 0 where i 0 where i 0 PMT i Gi PV PV FV 1 i N 1 PMT PV FV N PV PMT Gi i FV 1 1 i N PMT Gi i PV FV PMT N FV PMT Gi i 1 i N PV PMT G...

Страница 641: ...V Iterate from m 1 to pmt2 then Balance principal and interest are dependent on the values of PMT PV and pmt1 and pmt2 where RND round the display to the number of decimal places selected RND12 round...

Страница 642: ...ash flow nj and the specified interest rate i irr 100 i where i satisfies npv 0 Internal rate of return is dependent on the values of the initial cash flow CF0 and subsequent cash flows CFj i I 100 In...

Страница 643: ...n 1 1950 through Dec 31 2049 Actual actual day count method assumes actual number of days per month and actual number of days per year dbd days between dates Number of Days II Number of Days I 4Nom wh...

Страница 644: ...days MB to M2 DT2 where M1 DT1 Y1 M2 DT2 Y2 MB DB YB month of first date day of first date year of first date month of second date day of second date year of second date base month January base day 1...

Страница 645: ...r calculator uses an Equation Operating System EOS which evaluates the functions in an expression in the following order 1 Functions that precede the argument such as square root sin or log 2 Function...

Страница 646: ...hat references one or more lists or matrices whose dimensions do not match For example multiplying L1 L2 where L1 1 2 3 4 5 and L2 1 2 produces an ERR DIM MISMATCH error because the number of elements...

Страница 647: ...etters A through F You can view the calculator s Operating System Product Number ID and Certificate Revision Number from the About screen To display the About screen press y L and then select 1 About...

Страница 648: ...ind apps for the TI 84 Plus at the TI Online Store at education ti com TI Cares KnowledgeBase TI Cares KnowledgeBase TI Cares KnowledgeBase TI Cares KnowledgeBase The TI Cares KnowledgeBase provides 2...

Страница 649: ...roduces an error if L1 is archived ARCHIVE FULL You have attempted to archive a variable and there is not enough space in archive to receive it ARGUMENT A function or instruction does not have the cor...

Страница 650: ...solver you entered lower upper BREAK You pressed the key to break execution of a program to halt a DRAW instruction or to stop evaluation of an expression DATA TYPE You entered a value or variable th...

Страница 651: ...regression with a vertical line DOMAIN You specified an argument to a function or instruction outside the valid range This error is not returned during graphing The TI 84 Plus allows for undefined val...

Страница 652: ...attempted to transfer L1 through L6 from a TI 84 Plus to a TI 82 without using 5 Lists to TI82 on the LINK SEND menu ID NOT FOUND This error occurs when the SendID command is executed but the proper...

Страница 653: ...initial conditions In Seq mode you attempted to reference terms other than nN1 or nN2 You attempted to designate a graph style that is invalid within the current graph mode You attempted to use Selec...

Страница 654: ...ete items from memory before executing the instruction or function Recursive problems return this error for example graphing the equation Y1 Y1 Branching out of an If Then For While or Repeat loop wit...

Страница 655: ...d to compute irr when neither CFList nor CFO is 0 or when neither CFList nor CFO is 0 NONREAL ANS In Real mode the result of a calculation yielded a complex result This error is not returned during gr...

Страница 656: ...uation solver contains a singularity a point at which the function is not defined Examine a graph of the function If the equation has a solution change the bounds or the initial guess or both STAT You...

Страница 657: ...le stdDev list freqlist might be entered as stdDev L1 or stdDev L1 L2 since the frequency list or freqlist is optional TOL NOT MET You requested a tolerance to which the algorithm cannot return an acc...

Страница 658: ...able version from another graphing calculator WINDOW RANGE A problem exists with the window variables You defined Xmax Xmin or Ymax Ymin You defined qmax qmin and qstep 0 or vice versa You attempted t...

Страница 659: ...to 14 digits in Float mode Using a fixed decimal setting other than Float causes RegEQ results to be rounded and stored with the specified number of decimal places Xmin is the center of the leftmost...

Страница 660: ...lude a negative sign decimal point and exponent when Float mode is selected X and Y are updated with a maximum accuracy of eight digits minimum and maximum on the CALCULATE menu are calculated with a...

Страница 661: ...h x x 230 25850929940 tanh x x 10100 sinhL1 x x 5 1099 coshL1 x 1 x 5 1099 tanhL1 x L1 x 1 x real mode 0 x 10100 x complex mode x 10100 x L 5 _x 69 where x is a multiple of 5 Function Range of Result...

Страница 662: ...r general information For general information For general information For technical support For technical support For technical support For technical support For product hardware service For product h...

Страница 663: ...anada Mexico Puerto Rico and Virgin Islands Always contact Texas Instruments Customer Support before returning a product for service All other customers Refer to the leaflet enclosed with this product...

Страница 664: ...OVE ONE YEAR PERIOD TEXAS INSTRUMENTS SHALL NOT BE LIABLE FOR LOSS OF USE OF THE PRODUCT OR OTHER INCI DENTAL OR CONSEQUENTIAL COSTS EXPENSES OR DAMAGES INCURRED BY THE CON SUMER OR ANY OTHER USER Som...

Страница 665: ...y the consumer or any other user Except as expressly provided in the One Year Limited Warranty for this product Texas Instruments does not promise that facilities for the repair of this product or par...

Страница 666: ...s All Other Customers All Other Customers All Other Customers For information about the length and terms of the warranty refer to your package and or to the war ranty statement enclosed with this prod...

Страница 667: ...e the AAA batteries When the battery voltage level drops below a usable level the TI 84 Plus After Message A is first displayed you can expect the batteries to function for about one or two weeks depe...

Страница 668: ...ttery Precautions Battery Precautions Battery Precautions Take these precautions when replacing batteries Do not leave batteries within reach of children Do not mix new and used batteries Do not mix b...

Страница 669: ...the silver oxide battery simultaneously 3 Replace all four AAA alkaline batteries simultaneously Or replace the silver oxide battery To replace the AAA alkaline batteries remove all four discharged AA...

Страница 670: ...old until the display is sufficiently light 2 If an error menu is displayed follow these steps Note the error type ERR error type Select 2 GOTO if it is available The previous screen is displayed with...

Страница 671: ...it Remove all of the AAA batteries from the graphing calculator Press and hold the key for ten seconds Replace the batteries Turn on the unit When you reset your graphing calculator the contrast some...

Страница 672: ...Appendix C Service and Warranty Information 669...

Страница 673: ...tenation 417 626 pixel mark 203 322 plot type box 321 division 53 625 inverse 233 623 colon 430 less than 88 622 equal to relational test 88 622 greater than 88 622 matrix indicator 228 power 54 624 l...

Страница 674: ...variable statistics 308 616 A a bi rectangular complex mode 24 72 568 about 514 above graph style 101 abs absolute value 68 78 233 566 accuracy information computational and graphing 656 function lim...

Страница 675: ...8 binompdf 379 569 block 542 Boolean logic 90 box pixel mark 203 322 Boxplot plot type 321 busy indicator 9 C C Y compounding periods per year variable 391 406 cdf chi square cdf 569 pdf chi square pd...

Страница 676: ...ng two calculators 550 551 558 contact information 659 contrast display 6 convergence sequence graphing 167 conversions 4Dec to decimal 57 573 4DMS to degrees minutes seconds 86 575 4Eff to effective...

Страница 677: ...41 Degree angle mode 22 84 573 degrees notation 85 620 delete variable contents DelVar 446 573 deleting items from memory 519 DependAsk 177 180 573 DependAuto 177 180 573 derivative See numerical deri...

Страница 678: ...line segments Line 189 lines Horizontal Line Vertical 191 points Pt Change Pt Off Pt On 201 tangents Tangent 192 text Text 198 using Pen 200 DrawInv draw inverse 194 575 DS decrement and skip 444 575...

Страница 679: ...etting Started coin flip 51 compound interest 389 drawing a tangent line 184 financing a car 388 forest and trees 152 generating a sequence 246 mean height of a population 330 path of a ball 133 pendu...

Страница 680: ...settings 108 161 formulas amortization 638 ANOVA 630 cash flow 639 days between dates 640 interest rate conversions 639 logistic regression 629 sine regression 630 time value of money 635 two sample F...

Страница 681: ...common divisor 71 580 GDB graph database 207 geometcdf 382 580 geometpdf 381 580 Get get data from CBL 2 or CBR 455 580 GetCalc get data from TI 84 Plus 454 581 getDate get current date 581 getDtFmt...

Страница 682: ...cation 41 increment and skip IS 443 increment and skip IS 586 independent variable 177 180 584 IndpntAsk 177 180 584 IndpntAuto 177 180 584 inferential stat editors 335 inferential statistics alternat...

Страница 683: ...443 586 isClockOn is clock on 586 K keyboard layout 1 math operations 52 key code diagram 454 L L user created list name symbol 268 LabelOff 110 586 LabelOn 110 587 labels graph 110 586 program 442 58...

Страница 684: ...s 52 257 ln 54 588 LnReg logarithmic regression 310 589 log 54 589 Logistic regression 311 589 logistic regression formula 629 M Manual 313 Manual Linear Fit 306 313 marked for deletion 542 MATH CPX c...

Страница 685: ...defining Menu 444 defining Menu 591 scrolling 36 min minimum 70 270 591 minimum of a function fMin 59 minimum of a function fMin 578 minimum operation on a graph 129 minutes notation 84 626 ModBoxplot...

Страница 686: ...0 143 151 numerical integral 60 131 O Omit 538 560 one proportion z confidence interval 1 PropZInt 357 597 one proportion z test 1 PropZTest 349 597 one sample t confidence interval TInterval 353 613...

Страница 687: ...ssonpdf 381 596 Pol Polar polar graphing mode 23 146 596 polar equations 147 polar form complex numbers 75 polar graphing CALC calculate operations on a graph 151 defining and displaying 146 equations...

Страница 688: ...wer regression 310 598 Pxl Change 204 598 Pxl Off 204 599 Pxl On 204 599 pxl Test 204 599 Q QuadReg quadratic regression 309 599 QuartReg quartic regression 309 600 Quick Zoom 117 Quit 538 560 R r cor...

Страница 689: ...30 residual list RESID 302 Return 445 602 root x 59 621 root of a function 127 round 69 233 602 row 602 rowSwap 243 603 rref reduced row echelon form 243 603 S Sci scientific notation mode 21 606 scie...

Страница 690: ...a program 178 setTmFmt set time format 607 SetUpEditor 301 607 shade above graph style 101 shade below graph style 101 Shade 195 608 Shade_t 384 609 Shade 385 608 ShadeF 385 608 ShadeNorm 383 609 shad...

Страница 691: ...n z test 349 2 PropZInt two proportion z confidence interval 357 2 PropZTest two proportion z test 350 2 SampFTest two sample F Test 361 2 SampTInt two sample t confidence interval 355 2 SampTTest two...

Страница 692: ...length 587 storing 415 variables 414 415 student t distribution probability tcdf 376 probability tcdf 612 student t distribution probability density function tpdf 376 probability density function tpdf...

Страница 693: ...vm_I interest rate 395 tvm_N payment periods 396 615 tvm_Pmt payment amount 394 615 tvm_PV present value 395 615 variables 405 timeCnv convert time 613 TInterval one sample t confidence interval 613 T...

Страница 694: ...6 U u sequence function 154 UnArchive 28 523 615 ungrouping 535 user variables 627 uv uvAxes axes format 161 615 uw uwAxes axes format 161 615 V v sequence function 154 value operation on a graph 126...

Страница 695: ...etric graphing 137 polar graphing 146 sequence graphing 155 YFact zoom factor 125 Y VARS menu Function 39 On Off 39 Parametric 39 Polar 39 Z ZBox 119 617 ZDecimal 121 617 zero operation on a graph 127...

Страница 696: ...Index 693 ZPrevious use previous window 619 ZSquare set square pixels 121 619 ZStandard use standard window 122 619 Z Test one sample z test 342 619 ZTrig trigonometric window 122 620...

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