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Chapter 6: Sequence Graphing

152

Chapter 6:

Chapter 6:

Chapter 6:

Chapter 6:

Sequence Graphing

Sequence Graphing

Sequence Graphing

Sequence Graphing

Getting Started: Forest and Trees

Getting Started: Forest and Trees

Getting Started: Forest and Trees

Getting Started: Forest 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 and 1,000 new trees will be planted. Will the forest eventually
disappear? Will the forest size stabilize? If so, in how many years and with how many
trees?

1.

Press

z

. Press

† † † ~ ~ ~ Í

to select

Seq

graphing mode.

2.

Press

y .

and select

Time

axes format and

ExprOn

format if necessary.

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Summary of Contents for -84 Plus

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

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

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

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

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

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 332: ...Chapter 12 Statistics 329...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

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

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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_...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 413: ...Chapter 14 Applications 410...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

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

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

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

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

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

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

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

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

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

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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...

Page 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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