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Chapter 3: Function Graphing

‰

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 of

To find the numerical integral of a function, follow these steps.

1. Select

‰

f(x)dx

from the

CALCULATE

menu. The current graph is displayed with

Lower Limit?

in the bottom-left corner.

2. Press

}

†

to move the cursor to the function for which you want to calculate the integral.

3. Set lower and 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 that invokes Smart

Graph to clear the shaded area.

Содержание 84PLSECLM1L1T

Страница 1: ...ebook for the TI 84 Plus or TI 84 Plus Silver Edition with operating system OS version 2 55MP If your calculator has a previous OS version your screens may look different and some features may not be...

Страница 2: ...special collateral incidental or consequential damages in connection with or arising out of the purchase or use of these materials and the sole and exclusive liability of Texas Instruments regardless...

Страница 3: ...r Conditions 33 Chapter 2 Math Angle and Test Operations 35 Getting Started Coin Flip 35 Keyboard Math Operations 36 MATH Operations 38 Using the Equation Solver 42 MATH NUM Number Operations 45 Enter...

Страница 4: ...Between TI 84 Plus and TI 82 114 Chapter 7 Tables 115 Getting Started Roots of a Function 115 Setting Up the Table 116 Defining the Dependent Variables 117 Displaying the Table 118 Chapter 8 Draw Inst...

Страница 5: ...S Menu 168 LIST MATH Menu 175 Chapter 12 Statistics 178 Getting Started Pendulum Lengths and Periods 178 Setting Up Statistical Analyses 184 Using the Stat List Editor 185 Attaching Formulas to List N...

Страница 6: ...79 Copying and Renaming Programs 280 PRGM CTL Control Instructions 281 PRGM I O Input Output Instructions 288 Calling Other Programs as Subroutines 293 Running an Assembly Language Program 294 Chapter...

Страница 7: ...ving Items 350 Backing Up RAM Memory 351 Error Conditions 352 Appendix A Functions and Instructions 354 Appendix B Reference Information 383 Variables 383 Statistics Formulas 384 Financial Formulas 38...

Страница 8: ...in the STAT CALC menu DISTR DISTR menu DISTR DRAW menu and the seq function sequence in the LIST OPS menu When selecting a supported statistics command regression or distribution with the STAT WIZARDS...

Страница 9: ...Solver and Catalog Help The primary function of each key is printed on the keys For example when you press the MATH menu is displayed Using the y and Keys The secondary function of each key is printed...

Страница 10: ...on the TI 84 Plus press An information screen displays reminding you that you can press t a to display the shortcut menus This message also displays when you reset RAM f To continue but not see this i...

Страница 11: ...ting the Display Contrast Adjusting the Display Contrast You can adjust the display contrast to suit your viewing angle and lighting conditions As you change the contrast setting a number from 0 light...

Страница 12: ...tries or answers to the current entry line Displaying Entries and Answers When text is displayed the TI 84 Plus screen can display a maximum of 8 lines with a maximum of 16 characters per line in Clas...

Страница 13: ...next line The mode settings control the way the TI 84 Plus interprets expressions and displays answers If an answer such as a list or matrix is too long to display entirely on one line an arrow MathPr...

Страница 14: ...rsor to the appropriate line and then press All shortcut menu items except matrix templates can also be selected using standard menus For example you can choose the summation template from three place...

Страница 15: ...the cursor width is too narrow Graphs and editors sometimes display additional cursors which are described in other chapters Interchangeable Faceplates The TI 84 Plus Silver Edition has interchangeab...

Страница 16: ...plate in the corresponding grooves of the TI 84 Plus Silver Edition case 2 Gently click the faceplate into place Do not force 3 Make sure you gently press each of the grooves to ensure the faceplate i...

Страница 17: ...er from 1 12 or 0 23 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 highlight SA...

Страница 18: ...s or to scroll the CATALOG until the selection cursor points to ClockOff 3 Press Entering Expressions and Instructions What Is an Expression An expression is a group of numbers variables functions and...

Страница 19: ...enter two or more expressions or instructions on a line separate them with colons All instructions are stored together in last entry ENTRY Entering a Number in Scientific Notation 1 Enter the part of...

Страница 20: ...home screen press or any non graphing key To restart graphing press a graphing key or select a graphing instruction TI 84 Plus Edit Keys Keystrokes Result or Moves the cursor within an expression thes...

Страница 21: ...nction of that key displayed above a key and to the right executes SOLVE Chapters 10 and 11 or accesses a shortcut menu to cancel press or press or y 7 Changes the cursor to sets alpha lock subsequent...

Страница 22: ...in 12345 67 GoTo Format Graph No Yes Shortcut to the Format Graph screen y StatDiagnostics Off On Determines which information is displayed in a statistical regression calculation StatWizards On Off...

Страница 23: ...ing applies to Normal Sci and Eng notation modes The decimal setting applies to these numbers with respect to the Answer mode setting An answer displayed on the home screen Coordinates on a graph Chap...

Страница 24: ...e is selected the TI 84 Plus will sequentially graph all stat plots before it graphs any functions Real a bi re qi Real mode does not display complex results unless complex numbers are entered as inpu...

Страница 25: ...mixed number if applicable U n and d must be all be integers If U is a non integer the result may be converted U n d If n or d is a non integer a syntax error is displayed The whole number numerator a...

Страница 26: ...t other locations where the cursor is available for input Some calculations will compute directly from the wizard If a command or function is accessed from N the command or function will paste without...

Страница 27: ...ent applications which are stored in Flash ROM AppVars is a variable holder used to store variables created by independent applications You cannot edit or change variables in AppVars unless you do so...

Страница 28: ...xists in memory but if you select it and paste the name L1 to the home screen you won t be able to see its contents or edit it until it is unarchived Recalling Variable Values Using Recall RCL To reca...

Страница 29: ...to the entry or answer you want to copy and then press TThe entry or answer that you copied is automatically pasted on the current input line at the cursor location Note If the cursor is in a MathPrin...

Страница 30: ...press y after displaying the oldest stored entry the newest stored entry is displayed again then the next newest entry and so on Executing the Previous Entry Again After you have pasted the last entr...

Страница 31: ...orage area Using Ans in an Expression When an expression is evaluated successfully from the home screen or from a program the TI 84 Plus stores the answer to a storage area called Ans last answer Ans...

Страница 32: ...t TI 84 Plus operations using menus When you press a key or key 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...

Страница 33: ...tem press To go to the first menu item directly from the last menu item press While using your TI 84 Plus you often will need to access items from its menus When you press a key that displays a menu t...

Страница 34: ...without Making a Selection You can leave a menu without making a selection in any of four ways Press y 5 to return to the home screen Press to return to the previous screen Press a key or key combina...

Страница 35: ...y the VARS or VARS Y VARS menu Press to display the VARS menu Press to display the VARS Y VARS menu 2 Select the type of variable such as 2 Zoom from the VARS menu or 3 Polar from the VARS Y VARS menu...

Страница 36: ...p 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 as 1 2...

Страница 37: ...clude maintenance upgrades that will be 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 de...

Страница 38: ...can store graph and analyze up to 10 functions up to six parametric functions up to six polar functions and up to three sequences You can use DRAW instructions to annotate graphs The graphing chapter...

Страница 39: ...at plot definitions For details refer to Chapter 12 Inferential Statistics You can perform 16 hypothesis tests and confidence intervals and 15 distribution functions You can display hypothesis test re...

Страница 40: ...n a TI 83 Plus a TI 83 a TI 82 a TI 73 CBL 2 or a CBR System With TI Connect software and a USB computer cable you can also link the TI 84 Plus to a personal computer As future software upgrades becom...

Страница 41: ...error occurs in the contents of a Y function during program execution then the Goto option returns to the Y editor not to the program Correcting an Error To correct an error follow these steps 1 Note...

Страница 42: ...ome screen Press 10 to enter the number of coin flips Press Press 5 to enter the probability of heads Press Press 40 to enter the number of simulations Press 2 Press to evaluate the expression A list...

Страница 43: ...ns sine cosine and tangent with real numbers expressions and lists The current angle mode setting affects interpretation For example sin 30 in radian mode returns L 9880316241 in degree mode it return...

Страница 44: ...and lists Exponential e exponential y J returns the constant e raised to a power You can use e with real or complex numbers expressions and lists Constant e constant y e is stored as a constant on the...

Страница 45: ...e subtraction sign N which is displayed when you press Pi p Pi y B is stored as a constant in the TI 84 Plus In calculations the TI 84 Plus uses 3 1415926535898 for p MATH Operations MATH Menu To disp...

Страница 46: ...ices You can only use 4Dec following value value 4Dec Note You can quickly convert from one number type to the other by using the FRAC shortcut menu Press t 4 4F3 4D to convert a value Cube Cube Root...

Страница 47: ...iable fMin and fMax are not valid in expression The accuracy is controlled by tolerance if not specified the default is 1 L5 fMin expression variable lower upper tolerance fMax expression variable low...

Страница 48: ...e H for investigations You can use nDeriv once in expression Because of the method used to calculate nDeriv the TI 84 Plus can return a false derivative value at a nondifferentiable point fnInt fnInt...

Страница 49: ...ression in the Equation Solver To enter an expression in the equation solver assuming that the variable eqn is empty follow these steps 1 Select B Solver from the MATH menu to display the equation edi...

Страница 50: ...valuated when you move to the next variable Expressions must resolve to real numbers at each step during the iteration You can store equations to any VARS Y VARS variables such as Y1 or r6 and then re...

Страница 51: ...oll to the end of the number to see whether it ends with a negative or positive exponent A very small number may appear to be a large number until you scroll right to see the exponent The values of th...

Страница 52: ...ction solve is available only from CATALOG or from within a program It returns a solution root of expression for variable given an initial guess and lower and upper bounds within which the solution is...

Страница 53: ...d Greatest common divisor 0 remainder Reports the remainder as a whole number from a division of two whole numbers where the divisor is not zero A 4n d3 4Un d Converts an improper fraction to a mixed...

Страница 54: ...r parts of real or complex numbers expressions lists and matrices iPart value fPart fractional part returns the fractional part or parts of real or complex numbers expressions lists and matrices fPart...

Страница 55: ...element in list with value Note min and max also are available on the LIST MATH menu lcm gcd lcm returns the least common multiple of valueA and valueB both of which must be nonnegative integers When...

Страница 56: ...ts they must have the same number of elements If one argument is a list and the other a non list the non list is paired with each element of the list and a list is returned 4n d3 4Un d 4n d3 4Un d con...

Страница 57: ...t be non negative integers MathPrint Classic n d n d displays the mixed number template You can also access n d from the FRAC shortcut menu t 1 n and d can be real numbers or expressions but may not c...

Страница 58: ...Complex Numbers Complex numbers are stored in 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...

Страница 59: ...umbers in results 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 r...

Страница 60: ...and Test Operations 53 To enter a complex number in polar form enter the value of r magnitude press y J exponential function enter the value of q angle press y V constant and then press magnitudee ang...

Страница 61: ...s re Lqi in re qi mode MathPrint Classic real real real part returns the real part of a complex number or list of complex numbers real a bi returns a real re qi returns r cos q MathPrint Classic MATH...

Страница 62: ...e of a complex number or list of complex numbers calculated as tanL1 b a where b is the imaginary part and a is the real part The calculation is adjusted by p in the second quadrant or Np in the third...

Страница 63: ...an expression It is not valid if the result is real complex result8Rect returns a bi 4Polar 4Polar display as polar displays a complex result in polar form It is valid only at the end of an expression...

Страница 64: ...value to rand To restore the factory set seed value store 0 to rand or reset the defaults Chapter 18 Note The seed value also affects randInt randNorm and randBin instructions nPr nCr nPr number of p...

Страница 65: ...neither n nor n 1 2 is an integer 0 The variable n equals value in the syntax description above randInt randInt random integer generates and displays a random integer within a range specified by lowe...

Страница 66: ...umsimulations Note The seed value stored to rand also affects randInt randNorm and randBin instructions randIntNoRep randIntNoRep returns a random ordered list of integers from a lower integer to an u...

Страница 67: ...t set to Degree you must use so that the TI 84 Plus can interpret the argument as degrees minutes and seconds Degree degree designates an angle or list of angles as degrees regardless of the current a...

Страница 68: ...to be interpreted as degrees minutes and seconds 8DMS is valid only at the end of a line answer8DMS R8Pr R8Pq P8Rx P8Ry R8Pr converts rectangular coordinates to polar coordinates and returns r R8Pq co...

Страница 69: ...ram flow and in graphing to control the graph of a function over specific values Using Tests Relational operators are evaluated after mathematical functions according to EOS rules Chapter 1 The expres...

Страница 70: ...n a value of 1 if an expression is true or 0 if an expression is false according to the table below valueA and valueB can be real numbers expressions or lists valueA and valueB valueA or valueB valueA...

Страница 71: ...Chapter 2 Math Angle and Test Operations 64 Boolean logic is often used with relational tests In the following program the instructions store 4 into C...

Страница 72: ...he circle The expression Y L 100NX2 defines the bottom half of the circle On the TI 84 Plus you can define one function in terms of another To define Y2 LY1 press to enter the negation sign Press t a...

Страница 73: ...aph style for each function 5 Press p and define the viewing window variables 6 Press y and select the graph format settings Displaying and Exploring a Graph After you have defined a graph press s to...

Страница 74: ...aphing Chapter 5 Seq sequence graphing Chapter 6 Other mode settings affect graphing results Chapter 1 describes each mode setting Float or 0123456789 fixed decimal mode affects displayed graph coordi...

Страница 75: ...ay 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 returned You can access the shortcu...

Страница 76: ...n Selecting and Deselecting Functions Selecting and Deselecting a Function You can select and deselect turn on and turn off a function in the Y editor A function is selected when the sign is highligh...

Страница 77: ...llow these steps 1 Press to display the VARS Y VARS menu 2 Select 4 On Off to display the ON OFF secondary menu 3 Select 1 FnOn to turn on one or more functions or 2 FnOff to turn off one or more func...

Страница 78: ...3 Press to move the cursor left past the sign to the graph style icon in the first column The insert cursor is displayed Steps 2 and 3 are interchangeable 4 Press repeatedly to rotate through the grap...

Страница 79: ...terns overlap Note When or is selected for a Y function that graphs a family of curves such as Y1 1 2 3 X the four shading patterns rotate for each member of the family of curves Setting a Graph Style...

Страница 80: ...Xres 1 functions are evaluated and graphed at each pixel on the x axis At Xres 8 functions are evaluated and graphed at every eighth pixel along the x axis Note Small Xres values improve graph resolut...

Страница 81: ...tance from the center of one pixel to the center of any adjacent pixel on a graph graphing accuracy X and Y are calculated from Xmin Xmax Ymin and Ymax when you display a graph Y Ymax Ymin 62 You can...

Страница 82: ...variables are updated when you plot the graph move the free moving cursor or trace RectGC updates X and Y if CoordOn format is selected X and Y are displayed PolarGC updates X Y R and q if CoordOn fo...

Страница 83: ...selected function or functions press s TRACE ZOOM instructions and CALC operations display the graph automatically As the TI 84 Plus plots the graph the busy indicator is on As the graph is plotted X...

Страница 84: ...s X to Y2 and press s again The function Y2 is graphed on top of Y1 the original function Graphing a Family of Curves If you enter a list Chapter 11 as an element in an expression the TI 84 Plus plots...

Страница 85: ...l that appears to be on the function the cursor may be near but not actually on the function The coordinate value displayed at the bottom of the screen actually may not be a point on the function To m...

Страница 86: ...the screen continue to change appropriately Moving the Trace Cursor from Function to Function To move the trace cursor from function to function press and The cursor follows the order of the selected...

Страница 87: ...on When the instruction is encountered during program execution the graph is displayed with the trace cursor on the first selected function As you trace the cursor coordinate values are updated When y...

Страница 88: ...icates the spot 3 Press or As you move the cursor the sides of the box lengthen or shorten proportionately on the screen Note To cancel ZBox before you press press 4 When you have defined the box pres...

Страница 89: ...location 5 Zoom in on the graph again in either of two ways To zoom in at the same point press To zoom in at a new point move the cursor to the point that you want as the center of the new viewing win...

Страница 90: ...Integer replots the functions ZoomStat ZoomStat redefines the viewing window so that all statistical data points are displayed For regular and modified box plots only Xmin and Xmax are adjusted ZoomFi...

Страница 91: ...ace ZFrac1 4 ZFrac1 4 replots the functions immediately It updates the window variables to preset values as shown below These values set X and Y equal to 1 4 and set the X and Y value of each pixel to...

Страница 92: ...he graph using the window variables of the graph that was displayed before you executed the last ZOOM instruction ZoomSto ZoomSto immediately stores the current viewing window The graph is displayed a...

Страница 93: ...g XFact and YFact To display the ZOOM FACTORS screen where you can review the current values for XFact and YFact select 4 SetFactors from the ZOOM MEMORY menu The values shown are the defaults Changin...

Страница 94: ...X in the bottom left corner 2 Enter a real value which can be an expression for X between Xmin and Xmax 3 Press The cursor is on the first selected function in the Y editor at the X value you entered...

Страница 95: ...en shows the 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 th...

Страница 96: ...necessary to move the cursor to the second function and then press 4 Press or to move the cursor to the point that is your guess as to location of the intersection and then press The cursor is on the...

Страница 97: ...f x dx from the CALCULATE menu The current graph is displayed with Lower Limit in the bottom left corner 2 Press or to move the cursor to the function for which you want to calculate the integral 3 S...

Страница 98: ...es it go Ignore all forces except gravity For initial velocity vo and angle q the position of the ball as a function of time has horizontal and vertical components Horizontal X1 t tv0cos q Vertical Y1...

Страница 99: ...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 originally 10 Press p Enter thes...

Страница 100: ...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 through X6T and Y6T Each is defined in terms of the independent...

Страница 101: ...he sign of either the X or Y component and press The status of both the X and Y components is changed Setting Window Variables To display the window variable values press p These variables define the...

Страница 102: ...nd Y VARS Menus You can perform these actions from the home screen or a program Access functions by using the name of the X or Y component of the equation as a variable Store parametric equations Sele...

Страница 103: ...ic graphing panning is not Moving the Trace Cursor to Any Valid T Value To move the trace cursor to any valid T value on the current function enter the number When you enter the first digit a T prompt...

Страница 104: ...ngs 2 Press o to display the polar Y editor Press 8 2 5 to define r1 3 Press q 6 to select 6 ZStandard and graph the equation in the standard viewing window The graph shows only five petals of the ros...

Страница 105: ...can enter and display up to six polar equations r1 through r6 Each is defined in terms of the independent variable q Selecting Graph Styles The icons to the left of r1 through r6 represent the graph s...

Страница 106: ...uations It evaluates R for each value of q from qmin to qmax in intervals of qstep and then plots each point The window variables define the viewing window As the graph is plotted X Y R and q are upda...

Страница 107: ...uation is displayed In RectGC format TRACE updates the values of X Y and q if CoordOn format is selected X Y and q are displayed In PolarGC format TRACE updates X Y R and q if CoordOn format is select...

Страница 108: ...are affected The q window variables qmin qmax and qstep are not affected except when you select ZStandard The VARS ZOOM secondary menu ZT Zq items 4 Zqmin 5 Zqmax and 6 Zqstep are zoom memory variable...

Страница 109: ...format and ExprOn format if necessary 3 Press o If the graph style icon is not dot press press until is displayed and then press 4 Press 3 to select iPart integer part because only whole trees are har...

Страница 110: ...ons of the and keys Press y u to enter u for example You can define sequence functions in terms of The independent variable n The previous term in the sequence function such as u nN1 The term that pre...

Страница 111: ...ne and thick styles are available for sequence graphing Graph styles are ignored in Web format Selecting and Deselecting Sequence Functions The TI 84 Plus graphs only the selected sequence functions I...

Страница 112: ...nth term in the sequence is defined in relation to the previous term or the term that precedes the previous term represented by u nN1 and u nN2 A recursive sequence may also be defined in relation to...

Страница 113: ...u nMin u nMin 1 u nMin 2 u nMax PlotStart is the first term to be plotted PlotStart 1 begins plotting on the first term in the sequence If you want plotting to begin with the fifth term in a sequence...

Страница 114: ...ons press s As a graph is plotted the TI 84 Plus updates X Y and n Smart Graph applies to sequence graphs Chapter 3 Exploring Sequence Graphs Free Moving Cursor The free moving cursor in Seq graphing...

Страница 115: ...e initial value of the first selected function Note To move the cursor to a specified n during a trace enter a value for n and press For example to quickly return the cursor to the beginning of the se...

Страница 116: ...nstart nstop nstep nstep is optional default is 1 Graphing Web Plots Graphing a Web Plot To select Web axes format press y A web plot graphs u n versus u nN1 which you can use to study long term beha...

Страница 117: ...course 1 It starts on the x axis at the initial value u nMin when PlotStart 1 2 It moves vertically up or down to the sequence 3 It moves horizontally to the y x reference line 4 It repeats this vert...

Страница 118: ...quences To select a phase plot axes setting press y press until the cursor is on uv vw or uw and then press Example Predator Prey Model Use the predator prey model to determine the regional population...

Страница 119: ...s format 3 Press p and set the variables as shown below 4 Press s to graph the 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...

Страница 120: ...on for v Comparing TI 84 Plus and TI 82 Sequence Variables Sequences and Window Variables Refer to the table if you are familiar with the TI 82 It shows TI 84 Plus sequences and sequence window variab...

Страница 121: ...table if you are familiar with the TI 82 It compares TI 84 Plus sequence name syntax and variable syntax with TI 82 sequence name syntax and variable syntax TI 84 Plus TI 82 On TI 84 Plus press On TI...

Страница 122: ...to set Tbl 1 Press to select Indpnt Auto automatically generated independent values Press to select Depend Auto automatically generated dependent values 4 Press y 0 to display the table screen Note T...

Страница 123: ...enter a value for the independent variable all corresponding dependent variable values are calculated and displayed automatically Indpnt Auto Depend Ask Values are displayed automatically for the inde...

Страница 124: ...bles from the Table Editor To edit a selected Y function from the table editor follow these steps 1 Press y 0 to display the table then press or to move the cursor to a dependent variable column 2 Pre...

Страница 125: ...played in the table Chapter 1 In the table above for example the independent variable X and the dependent variables Y1 and Y2 are displayed because Func graphing mode is set Clearing the Table from th...

Страница 126: ...art is updated automatically to the value shown on the top line of the table In the example above TblStart 0 and Tbl 1 generates and displays values of X 0 6 but you can press to scroll back and displ...

Страница 127: ...he independent variable always remains in the left column except during a trace with parametric graphing mode and G T split screen mode set Note To simultaneously display two dependent variables on th...

Страница 128: ...you want to find the equation of the tangent line at X for the function Y sin X 1 Before you begin press z and select 4 Radian and Func if necessary 2 Press o to display the Y editor Press to store s...

Страница 129: ...on the mode screen to go to the format graph screen 6 Press The tangent line is drawn the X value and the tangent line equation are displayed on the graph Consider repeating this activity with the mod...

Страница 130: ...also can execute these instructions from the home screen or from within a program If a graph is not displayed when you select a DRAW menu instruction the home screen is displayed Clearing Drawings Cl...

Страница 131: ...ent 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 continue drawing line segments repeat steps 2 an...

Страница 132: ...al lines through which you want the drawn line to pass 3 Press to draw the line on the graph To continue drawing lines repeat steps 2 and 3 To cancel Horizontal or Vertical press Drawing a Line from t...

Страница 133: ...e point on the function at which you want to draw the tangent line 4 Press In Func mode the X value at which the tangent line was drawn is displayed on the bottom of the screen along with the equation...

Страница 134: ...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 DrawInv draw inverse draws the inverse of expression by p...

Страница 135: ...and Xright must be numbers between Xmin and Xmax which are the defaults pattern specifies one of four shading patterns patres specifies one of eight shading resolutions Drawing Circles Drawing a Circ...

Страница 136: ...Y and radius These values can be expressions Circle X Y radius Note When you use Circle on the home screen or from a program the current window values may distort the drawn circle Use ZSquare Chapter...

Страница 137: ...n a Horiz split screen the maximum value for row is 25 On a G T split screen the maximum value for row is 45 and the maximum value for column is 46 Using Pen to Draw on a Graph Using Pen to Draw on a...

Страница 138: ...a graph follow these steps 1 Select 1 Pt On from the DRAW POINTS menu 2 Move the cursor to the position where you want to draw the point 3 Press to draw the point To continue drawing points repeat st...

Страница 139: ...To continue changing points repeat steps 2 and 3 To cancel Pt Change press Drawing Points from the Home Screen or a Program Pt On point on turns on the point at X x Y y Pt Off turns the point off Pt C...

Страница 140: ...e toggles the pixel on and off Pxl On row column Pxl Off row column Pxl Change row column Using pxl Test pxl Test pixel test returns 1 if the pixel at row column is turned on or 0 if the pixel is turn...

Страница 141: ...e picture does not include axes labels lower and upper bound indicators prompts or cursor coordinates Any parts of the display hidden by these items are stored with the picture To store a graph pictur...

Страница 142: ...Note Pictures are drawings You cannot trace a curve that is part of a picture Deleting a Graph Picture To delete graph pictures from memory use the MEMORY MANAGEMENT DELETE secondary menu Chapter 18...

Страница 143: ...functions Consider storing the current Y functions to another database before recalling a stored GDB To recall a graph database follow these steps 1 Select 4 RecallGDB from the DRAW STO menu RecallGDB...

Страница 144: ...elect ExprOff 3 Press o to display the Y editor for Par graphing mode Press to store cos T to X1T Press to store sin T to Y1T 4 Press p to display the window editor Enter these values for the window v...

Страница 145: ...split screen is activated when you press any key that applies to either half of the split screen If stat plots are turned on the plots are shown along with the x y plots in graphs Press y 0 to make t...

Страница 146: ...r example if you press r the cursor is placed in the half where the graph is displayed If you press y 0 the cursor is placed in the half where the table is displayed The TI 84 Plus will remain in spli...

Страница 147: ...ys the graph home screen Y editor stat list editor window editor or table editor G T Graph Table Split Screen G T Mode In G T graph table split screen mode a vertical line splits the screen into left...

Страница 148: ...ndependent variable T is displayed on the graph Full Screens in G T Mode All screens other than the graph and the table are displayed as full screens in G T split screen mode To return to the G T spli...

Страница 149: ...row column text Note The Output instruction can only be used within 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 Pres...

Страница 150: ...en or in the Y editor Note To input a fraction in a matrix delete the pre populated zero first Example Add the following matrices and store the result to matrix C 1 Press t to display the quick matrix...

Страница 151: ...obtain the reduced row echelon form 6 Press to store the matrix to C In the matrix editor y Q you can see that matrix C has dimension 2x2 You can press to display the EDIT screen and then select C to...

Страница 152: ...trix in the editor you first must select the matrix name To do so follow these steps 1 Press y to display the MATRX EDIT menu The dimensions of any previously defined matrices are displayed 2 Select t...

Страница 153: ...u 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 EDIT menu and enter or accept the dimensions The center portion of t...

Страница 154: ...ntext clears the value on the bottom line copies the character to the bottom line y 6 Nothing Nothing Editing a Matrix Element In editing context an edit cursor is active on the bottom line To edit a...

Страница 155: ...sion you can do any of the following Copy the name from the MATRX NAMES menu Recall the contents of the matrix into the expression with y K Chapter 1 Enter the matrix directly see below Entering a Mat...

Страница 156: ...you can store it In MathPrint mode you could also use the MTRX shortcut menu to enter this kind of matrix 1 Press t to define the matrix dimension 2 Press 1 2 2 4 5 6 to define the matrix 3 Press to p...

Страница 157: ...rsa Copying One Matrix to Another To copy a matrix follow these steps 1 Press y to display the MATRX NAMES menu 2 Select the name of the matrix you want to copy 3 Press 4 Press y again and select the...

Страница 158: ...rix remains the same Addition Subtraction Multiplication To add or subtract matrices the dimensions must be the same The answer is a matrix in which the elements are the sum or difference of the indiv...

Страница 159: ...rns a matrix containing the absolute value of each element of matrix abs matrix round round MATH NUM menu returns a matrix It rounds every element in matrix to decimals 9 If decimals is omitted the el...

Страница 160: ...matrices using the relational operations and TEST menu they must have the same dimensions and compare matrixA and matrixB on an element by element basis The other relational operations are not valid...

Страница 161: ...returns a matrix containing the greatest integer of each element of matrix iPart matrix fPart matrix int matrix Using the MATRX MATH Operations MATRX MATH Menu To display the MATRX MATH menu press y N...

Страница 162: ...Dimensions with dim dim dimension returns a list containing the dimensions rows columns of matrix dim matrix 9 List4matr Stores a list to a matrix 0 cumSum Returns the cumulative sums of a matrix A r...

Страница 163: ...Matrix with dim Use dim with to redimension an existing matrixname to dimensions rows columns The elements in the old matrixname that are within the new dimensions are not changed Additional created e...

Страница 164: ...ndM rows columns augment augment appends matrixA to matrixB as new columns matrixA and matrixB both must have the same number of rows augment matrixA matrixB Matr4list Matr4list matrix stored to list...

Страница 165: ...ot equal List4matr fills each extra matrixname row with 0 Complex lists are not valid List4matr listA list n matrixname cumSum cumSum returns cumulative sums of the elements in matrix starting with th...

Страница 166: ...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 to the number of rows rref matrix rowSwap rowSwap returns a mat...

Страница 167: ...atrix It multiplies row of matrix by value and stores the results in row row value matrix row row row row multiplication and addition returns a matrix It multiplies rowA of matrix by value adds it to...

Страница 168: ...t in the entry of the syntax 3 Press 1 t A A 1 8 1 to enter the sequence Press to select Paste and press to paste the seq to the current cursor location 4 Press and then press y 7 to turn on alpha loc...

Страница 169: ...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 list is displayed on the next line The list name and i...

Страница 170: ...ts and on the home screen Use the stat list editor Chapter 12 The maximum dimension of a list is 999 elements Note When you store a complex number to a list the entire list is converted to a list of c...

Страница 171: ...e Transformation Graphing App Entering List Names Using the LIST NAMES Menu To display the LIST NAMES menu press y 9 Each item is a user created list name except for L1 through L6 LIST NAMES menu item...

Страница 172: ...t is a result of the formula When executed the attached formula must resolve to a list When anything in the attached formula changes the list to which the formula is attached is updated automatically...

Страница 173: ...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 formul...

Страница 174: ...te You must paste user created list names to the Rcl prompt by selecting them from the LIST NAMES menu You cannot enter them directly using Using Lists with Math Functions You can use a list to input...

Страница 175: ...us With one list SortA and SortD sort the elements of listname and update the list in memory NAMES OPS MATH 1 SortA Sorts lists in ascending order 2 SortD Sorts lists in descending order 3 dim Sets th...

Страница 176: ...e second element of L5 SortA and SortD are the same as SortA and SortD on the STAT EDIT menu Chapter 12 You cannot sort a locked list Using dim to Find List Dimensions dim dimension returns the length...

Страница 177: ...nging from begin to end at steps of increment variable need not be defined in memory increment can be negative the default value for increment is 1 seq is not valid within expression Complex lists are...

Страница 178: ...Line plot only and then stores the selected data points to two new lists xlistname and ylistname For example you can use Select to select and then analyze a portion of plotted CBL 2 CBL or CBR data Se...

Страница 179: ...designate list names into which you want the selected data to be stored 3 Press The graph screen is displayed with Left Bound in the bottom left corner 4 Press or if more than one stat plot is selecte...

Страница 180: ...t plot editor Note The two new lists xlistname and ylistname will include the points you select as left bound and right bound Also left bound x value right bound x value must be true augment augment c...

Страница 181: ...you must enter a column after matrix Matr4list matrix column listname preceding one to five characters identifies those characters as a user created listname listname may comprise letters q and number...

Страница 182: ...ax are the same as min and max on the MATH NUM menu mean median mean returns the mean value of list median returns the median value of list The default value for freqlist is 1 Each freqlist element co...

Страница 183: ...pecify a range of list elements list elements can be real or complex numbers Sums and Products of Numeric Sequences You can combine sum or prod with seq to obtain To evaluate G 2 N 1 from N 1 to 4 std...

Страница 184: ...ariance returns the variance of the elements in list The default value for freqlist is 1 Each freqlist element counts the number of consecutive occurrences of the corresponding element in list Complex...

Страница 185: ...ics by permission of Janson Publications Inc Dedham MA 1 800 322 MATH 1992 All rights reserved Length cm Time sec Length cm Time sec 6 5 0 51 24 4 1 01 11 0 0 68 26 6 1 08 13 2 0 73 30 5 1 13 15 0 0 7...

Страница 186: ...editor If necessary press to clear the function Y1 As necessary press and to turn off Plot1 Plot2 and Plot3 from the top line of the Y editor Chapter 3 As necessary press and to deselect functions 7 P...

Страница 187: ...the list name RESID which becomes an item on the LIST NAMES menu Note You can control the number of decimal places displayed by changing the decimal mode setting The statistics reported are not stored...

Страница 188: ...s stored in column 3 of the stat list editor Press repeatedly to examine the residuals 19 Press y 2 to select 2 Plot2 from the STAT PLOTS menu The stat plot editor is displayed for plot 2 20 Press to...

Страница 189: ...to clear the linear regression equation from Y1 Press to turn on plot 1 Press to turn off plot 2 24 Press q 9 to select 9 ZoomStat from the ZOOM menu The window variables are adjusted automatically an...

Страница 190: ...9 defined plot 2 to plot residuals RESID versus string length L1 29 Press q 9 to select 9 ZoomStat from the ZOOM menu The window variables are adjusted automatically and plot 2 is displayed This is a...

Страница 191: ...aph the regression equation for the plotted data 5 Graph the residuals list for the given regression model Displaying the Stat List Editor The stat list editor is a table where you can store edit and...

Страница 192: ...Display the Name prompt in the entry line in either of two ways Move the cursor onto the list name in the column where you want to insert a list and then press y 6 An unnamed column is displayed and...

Страница 193: ...er created list name List names can be one to five characters long 4 Press or to store the list name in the current column of the stat list editor The list name becomes an item on the LIST NAMES menu...

Страница 194: ...automatically 3 Edit the element in the entry line Press one or more keys to enter the new value When you enter the first character the current value is cleared automatically You can use the shortcut...

Страница 195: ...ribes in detail the concept of attaching formulas to list names To attach a formula to a list name that is stored in the stat list editor follow these steps 1 Press to display the stat list editor 2 P...

Страница 196: ...with formulas are displayed Handling Errors Resulting from Attached Formulas On the home screen you can attach to a list a formula that references another list with dimension 0 Chapter 11 However you...

Страница 197: ...ements remain Use ClrList All elements of one or more specified lists are cleared each formula is detached and each lock symbol disappears All list names remain Use ClrAllLists Chapter 18 All elements...

Страница 198: ...t elements context You may edit any element in a list All elements of the current list are displayed in braces in the entry line Press and to view more list elements 3 Press again to switch to view el...

Страница 199: ...value for a new element Edit Elements Context In edit elements context the data displayed in the entry line depends on the previous context When you switch to edit elements context from view elements...

Страница 200: ...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 The symbol is no...

Страница 201: ...d in memory SortA listname SortD listname SortA keylistname dependlist1 dependlist2 dependlist n SortD keylistname dependlist1 dependlist2 dependlist n Note SortA and SortD are the same as SortA and S...

Страница 202: ...ves all list names from the stat list editor and restores list names L1 through L6 in the stat list editor columns 1 through 6 Regression Model Features Regression Model Features STAT CALC menu items...

Страница 203: ...item 1 on the VARS Statistics EQ secondary menu Note For the regression equation you can use the fixed decimal mode setting to control the number of digits stored after the decimal point Chapter 1 How...

Страница 204: ...gnosticOff instruction Each instruction is in the CATALOG Chapter 15 To turn diagnostics on or off from the mode screen select On or Off for StatDiagnostics The default is Off To set DiagnosticOn or D...

Страница 205: ...he results to a temporary view Note After a calculation statistical variables are available in the VARS menu EDIT CALC TESTS 1 1 Var Stats Calculates 1 variable statistics 2 2 Var Stats Calculates 2 v...

Страница 206: ...urs in the data set you are analyzing For example 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...

Страница 207: ...cy of occurrence for each corresponding data point in Xlistname freqlist elements must be real numbers 0 1 Var Stats Xlistname freqlist 2 Var Stats 2 Var Stats two variable statistics analyzes paired...

Страница 208: ...and c when DiagnosticOn is set it also displays a value for R2 For three data points the equation is a polynomial fit for four or more it is a polynomial regression At least three data points are req...

Страница 209: ...g a least squares fit It displays values for a y intercept and b slope when DiagnosticOn is set it also displays values for r2 and r LinReg a bx Xlistname Ylistname freqlist regequ LnReg a b ln x LnRe...

Страница 210: ...istname freqlist regequ Logistic c 1 a e bx Logistic fits the model equation y c 1 a eLbx to the data using an iterative least squares fit It displays values for a b and c Logistic Xlistname Ylistname...

Страница 211: ...qual and the time values must be ordered in ascending sequential order If you specify period the algorithm may find a solution more quickly or it may find a solution when it would not have found one i...

Страница 212: ...ion is displayed The Manual Fit Line equation displays in the form of Y mX b The current value of the first parameter m is highlighted in the symbolic expression Modify parameter values Press the curs...

Страница 213: ...in expressions press and select 5 Statistics Then select the VARS menu shown in the column below under VARS menu If you edit a list or change the type of analysis all statistical variables are cleare...

Страница 214: ...apter 11 Statistical Calculations To perform a statistical calculation from a program follow these steps 1 On a blank line in the program editor select the type of calculation from the STAT CALC menu...

Страница 215: ...more lists 2 Select or deselect Y functions as appropriate 3 Define the stat plot 4 Turn on the plots you want to display 5 Define the viewing window 6 Display and explore the graph Scatter Scatter p...

Страница 216: ...is x except when the outlier is the maximum point maxX or the minimum point minX When outliers exist the end of each whisker will display x When no outliers exist minX and maxX are the prompts for th...

Страница 217: ...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 data on the x axis and...

Страница 218: ...list name containing independent data Ylist list name containing dependent data Mark or or Freq frequency list for Xlist elements default is 1 Data List list name for NormProbPlot Data Axis axis on w...

Страница 219: ...e a scatter plot or xyLine tracing begins at the first element in the lists When you trace a histogram the cursor moves from the top center of one column to the top center of the next starting at the...

Страница 220: ...ct the type of plot which pastes the name of the plot type to the cursor location 5 Press Enter the list names separated by commas 6 Press y to display the STAT PLOT MARK menu This step is not necessa...

Страница 221: ...Chapter 12 Statistics 214 Displaying a Stat Plot from a Program To display a plot from a program use the DispGraph instruction Chapter 16 or any of the ZOOM instructions Chapter 3...

Страница 222: ...9 Height in centimeters of Each of 10 Women 169 43 168 33 159 55 169 97 159 79 181 42 171 17 162 04 167 15 159 53 1 Press to display the stat list editor Press to move the cursor onto L1 and then pres...

Страница 223: ...precise bound on the population mean m of women s heights increase the sample size to 90 Use a sample mean v of 163 8 and sample standard deviation Sx of 7 1 calculated from the larger random sample...

Страница 224: ...of the population 2 Press 163 8 to store 163 8 to v Press 7 1 to store 7 1 to Sx Press 90 to store 90 to n 3 Press to move the cursor onto Calculate and then press to calculate the new 99 percent conf...

Страница 225: ...struction it is pasted to the home screen ANOVA does not have an editor screen Using an Inferential Stat Editor To use an inferential stat editor follow these steps 8 Press y to display the DISTR DRAW...

Страница 226: ...confidence interval instruction Selecting Data or Stats Most inferential stat editors prompt you to select one of two types of input 1 PropZInt and 2 PropZTest 1 PropZInt and 2 PropZInt c2 Test c2GOF...

Страница 227: ...s a graph of the test results and displays the test statistic and p value with the graph The window variables are adjusted automatically to fit the graph To select Calculate or Draw move the cursor to...

Страница 228: ...input choice show both types of input screens EDIT CALC TESTS 1 Z Test Test for 1 m known s 2 T Test Test for 1 m unknown s 3 2 SampZTest Test comparing 2 m s known s s 4 2 SampTTest Test comparing 2...

Страница 229: ...reen The description then shows the unique output screen for that instruction with the example results Descriptions of instructions that offer the Calculate Draw output choice show both types of scree...

Страница 230: ...ts the null hypothesis H0 m m0 against one of the alternatives below Ha m m0 m m0 Ha m m0 m m0 Ha m m0 m m0 In the example L1 299 4 297 7 301 298 9 300 2 297 Note All STAT TESTS examples assume a fixe...

Страница 231: ...is test for a single unknown population mean m when the population standard deviation s is unknown It tests the null hypothesis H0 m m0 against one of the alternatives below Ha m m0 m m0 Ha m m0 m m0...

Страница 232: ...ulations m1 and m2 based on independent samples when both population standard deviations s1 and s2 are known The null hypothesis H0 m1 m2 is tested against one of the alternatives below Ha m1 m2 m1 m2...

Страница 233: ...based on independent samples when neither population standard deviation s1 or s2 is known The null hypothesis H0 m1 m2 is tested against one of the alternatives below Ha m1 m2 m1 m2 Ha m1 m2 m1 m2 Ha...

Страница 234: ...r 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 hypothesis H0 prop p0 agains...

Страница 235: ...ses 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 tests the null hypothesis H0 p1...

Страница 236: ...ce interval depends on the user specified confidence level In the example L1 299 4 297 7 301 298 9 300 2 297 TInterval TInterval one sample t confidence interval item 8 computes a confidence interval...

Страница 237: ...e interval for the difference between two population means m1Nm2 when both population standard deviations s1 and s2 are known The computed confidence interval depends on the user specified confidence...

Страница 238: ...erval for the difference between two population means m1Nm2 when both population standard deviations s1 and s2 are unknown The computed confidence interval depends on the user specified confidence lev...

Страница 239: ...mputed confidence interval depends on the user specified confidence level 2 PropZInt 2 PropZInt two proportion z confidence interval item B computes a confidence interval for the difference between th...

Страница 240: ...and column variables The alternative hypothesis is the variables are related Before computing a c2 Test enter the observed counts in a matrix Enter that matrix variable name at the Observed prompt in...

Страница 241: ...ms 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 12 6 The Chi square Go...

Страница 242: ...s2 The population means and standard deviations are all unknown 2 Samp Test which uses the ratio of sample variances Sx12 Sx22 tests the null hypothesis H0 s1 s2 against one of the alternatives below...

Страница 243: ...If you enter a Y variable name at the RegEQ prompt the calculated regression equation is automatically stored to the specified Y equation In the example below the regression equation is stored to Y1...

Страница 244: ...uency values for the data is stored in List The default is 1 All elements must be real numbers Each element in the Freq list is the frequency of occurrence for each corresponding data point in the inp...

Страница 245: ...f two to 20 populations The ANOVA procedure for comparing these means involves analysis of the variation in the sample data The null hypothesis H0 m1 m2 mk is tested against the alternative Ha not all...

Страница 246: ...umber 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 the data you...

Страница 247: ...rix name that specifies where the expected values should be stored Expected is created upon successful completion of the c2 Test and c2GOF Test df df degree of freedom represents number of sample cate...

Страница 248: ...d deviation of x Sx Sx XY number of data points n n XY standard error about the line s TEST regression fit coefficients a b EQ correlation coefficient r EQ coefficient of determination r2 EQ regressio...

Страница 249: ...pdf is normalpdf x m s Note For plotting the normal distribution you can set window variables Xmin and Xmax so that the mean m falls between them and then select 0 ZoomFit from the ZOOM menu normalcdf...

Страница 250: ...e left of the x value 0 area 1 must be true The defaults are m 0 and s 1 invNorm area m s invT invT computes the inverse cumulative Student t probability function specified by Degree of Freedom df for...

Страница 251: ...and upperbound for the specified df degrees of freedom which must be 0 tcdf lowerbound upperbound df c2 pdf f x 1 df 2 1 2 df 2 x df 2 1 e x 2 x 0 c2pdf computes the probability density function pdf...

Страница 252: ...of freedom which must be an integer 0 c2 cdf lowerbound upperbound df f x n d 2 n 2 d 2 n d n 2 x n 2 1 1 nx d n d 2 x 0 Fpdf pdf computes the probability density function pdf for the distribution at...

Страница 253: ...or df must be integers 0 cdf lowerbound upperbound numerator df denominator df f x n x p x 1 p n x x 0 1 n binompdf binompdf computes a probability at x for the discrete binomial distribution with the...

Страница 254: ...a list of cumulative probabilities is returned binomcdf numtrials p x f x e x x x 0 1 2 poissonpdf poissonpdf computes a probability at x for the discrete Poisson distribution with the specified mean...

Страница 255: ...ess p 0 p 1 must be true x can be a real number or a list of real numbers geometcdf p x MathPrint Classic Distribution Shading DISTR DRAW Menu To display the DISTR DRAW menu press y DISTR DRAW instruc...

Страница 256: ...area left of upperbound for example specify lowerbound L1 99 ShadeNorm ShadeNorm draws the normal density function specified by mean m and standard deviation s and shades the area between lowerbound a...

Страница 257: ...and upperbound Shadec2 lowerbound upperbound df Classic Note For this example Xmin 0 Xmax 35 Ymin L 025 Ymax 1 ShadeF Shade draws the density function for the distribution specified by numerator df d...

Страница 258: ...ion is built into the TI 84 Plus code and cannot be deleted Many other applications in addition to the ones mentioned above including language localization applications are included on your TI 84 Plus...

Страница 259: ...rd it 2 Select from list of functions 1 Press z to set the fixed decimal mode setting to 2 2 Press to select 1 Finance from the APPLICATIONS menu 3 Press to select 1 TVM Solver from the CALC VARS menu...

Страница 260: ...ress YYou need to look for an interest rate of 6 73 to grow 1250 to 2000 in 7 years Using the TVM Solver Using the TVM Solver The TVM Solver displays the time value of money TVM variables Given four v...

Страница 261: ...quare in the left column designates the solution variable Using the Financial Functions Entering Cash Inflows and Cash Outflows When using the TI 84 Plus financial functions you must enter cash inflow...

Страница 262: ...re a value to a TVM variable use the TVM Solver or use and any TVM variable on the FINANCE VARS menu If you enter less than six arguments the TI 84 Plus substitutes a previously stored TVM variable va...

Страница 263: ...he 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_ computes the ann...

Страница 264: ...npv and 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...

Страница 265: ...F0 CFList CFFreq Calculating Amortization Calculating an Amortization Schedule Use the amortization functions menu items 9 0 and A to calculate balance sum of principal and sum of interest for an amor...

Страница 266: ...e interest during a specified period for an amortization schedule using stored values for PV and PMT pmt1 is the starting payment pmt2 is the ending payment in the range pmt1 and pmt2 must be positive...

Страница 267: ...to define X1T as T Press 9 to define Y1T as bal T 6 Press p to display the window variables Enter the values below Tmin 0 Xmin 0 Ymin 0 Tmax 360 Xmax 360 Ymax 125000 Tstep 12 Xscl 50 Yscl 10000 7 Pre...

Страница 268: ...e compounding periods 4Eff 4Eff computes the effective interest rate nominal rate and compounding periods must be real numbers compounding periods must be 0 4Eff nominal rate compounding periods Findi...

Страница 269: ...lver s PMT END BEGIN line select END to set PMT to ordinary annuity Pmt_Bgn Pmt_Bgn payment beginning specifies an annuity due where payments occur at the beginning of each payment period Most leases...

Страница 270: ...fter you have stored a value to P Y The EasyData Application The Vernier EasyData application by Vernier Software Technology allows you to view and analyze real world data when the TI 84 Plus is conne...

Страница 271: ...select 2 Time Graph The current settings are displayed on the calculator Note If using a motion detector settings for 3 Distance Match and 4 Ball Bounce in the Setup menu are preset and cannot be cha...

Страница 272: ...tically 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 Data Collected data is automatically tr...

Страница 273: ...ou can execute from the home screen are GetCalc Get and Send Selecting an Item from the CATALOG To select a CATALOG item follow these steps 1 Press y N to display the CATALOG The 4 in the first column...

Страница 274: ...ng Each number letter and space counts as one character Each instruction or function name such as sin or cos counts as one character the TI 84 Plus interprets each instruction or function name as one...

Страница 275: ...tring variables with string functions and instructions To display the VARS STRING menu follow these steps 1 Press to display the VARS menu Move the cursor to 7 String 2 Press to display the STRING sec...

Страница 276: ...ing is displayed String Functions and Instructions in the CATALOG Displaying String Functions and Instructions in the CATALOG String functions and instructions are available only from the CATALOG The...

Страница 277: ...ting a String Function from the CATALOG To select a string function or instruction and paste it to the current screen follow the steps for selecting an item from the CATALOG Equ4String Equ4String conv...

Страница 278: ...substring start Note If string does not contain substring or start is greater than the length of string inString returns 0 length length returns the number of characters in string string can be a str...

Страница 279: ...is the position number of the first 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 In a program...

Страница 280: ...additional CATALOG items sinh cosh tanh sinh cosh and tanh are the hyperbolic functions Each is valid for real numbers expressions and lists sinh value cosh value tanh value sinh 1 cosh 1 tanh 1 sinh...

Страница 281: ...Chapter 15 CATALOG Strings Hyperbolic Functions 274 sinh 1 value cosh 1 value tanh 1 value...

Страница 282: ...ock is on Press C Y L I N D E R and then press to name the program CYLINDER You are now in the program editor The colon in the first column of the second line indicates the beginning of a command line...

Страница 283: ...in Classic format You can use fractions in programs but you should test the program to make sure that you get the desired results The spacing of the display may be slightly different in MathPrint mod...

Страница 284: ...ogram 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 Managing Memory and Deleting a Program To check whether adequate me...

Страница 285: ...screen put the cursor next to the archived program and press The asterisk will disappear Note Archive programs cannot be edited or executed In order to edit or execute an archived program you must fi...

Страница 286: ...dated as each command is executed Chapter 1 The TI 84 Plus checks for errors during program execution It does not check for errors as you enter a program Breaking a Program To stop program execution p...

Страница 287: ...ter 1 2 Press to display the PRGM EXEC menu 3 Select a name from the menu prgmname is pasted to the bottom line of the program editor 4 Press All command lines from the selected program are copied int...

Страница 288: ...to determine which command to execute next Conditions frequently use relational or Boolean tests Chapter 2 as in CTL I O EXEC 1 If Creates a conditional test 2 Then Executes commands when If is true 3...

Страница 289: ...nstructions can be nested If condition command if true command Program Output If Then Then following an If executes a group of commands if condition is true nonzero End identifies the end of the group...

Страница 290: ...exceeded End identifies the end of the loop For loops can be nested For variable begin end increment command while end not exceeded command while end not exceeded End command Program Output While Whil...

Страница 291: ...ut End End identifies the end of a group of commands You must include an End instruction at the end of each For While or Repeat loop Also you must paste an End instruction at the end of each If Then g...

Страница 292: ...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 program to bra...

Страница 293: ...mand is executed variable cannot be a system variable DS variable value command if answer value command if answer value Program Output Note DS is not a looping instruction Menu Menu sets up branching...

Страница 294: ...program that you have not yet created prgmname Note You cannot directly enter the subroutine name when using RCL You must paste the name from the PRGM EXEC menu Return Return quits the subroutine and...

Страница 295: ...in the program editor only These instructions control input to and output from a program during execution They allow you to enter values and display answers during program execution To return to the p...

Страница 296: ...pt during execution variable may be a real number complex number list matrix string or Y function During program execution enter a value which can be an expression and then press The value is evaluate...

Страница 297: ...playing the Home Screen Disp display without a value displays the home screen To view the home screen during program execution follow the Disp instruction with a Pause instruction Disp Displaying Valu...

Страница 298: ...e displays the current table The program halts temporarily so you can examine the screen Press to resume execution Output Output displays text or value on the current home screen beginning at row 1 th...

Страница 299: ...program TI 84 Plus Key Code Diagram ClrHome ClrTable ClrHome clear home screen clears the home screen during program execution ClrTable clear table clears the values in the table during program execut...

Страница 300: ...l interpret it as the Get described above Use GetCalc to get data from another TI 84 Plus Send sends the contents of variable to the CBL 2 or CBR You cannot use it to send to another TI 84 Plus variab...

Страница 301: ...rns to the calling program even if it is encountered within nested loops Running an Assembly Language Program You can run programs written for the TI 84 Plus in assembly language Typically assembly la...

Страница 302: ...ogram 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 Note This name must be unique not...

Страница 303: ...ucation ti com Use the quadratic formula to solve the quadratic equations 2x2 N 11x 14 0 and 2x2 N 6x 5 0 Graphing the Functions Before you begin look at the graphs of the functions to see the approxi...

Страница 304: ...Press 14 C to store the constant 4 Press to store the values to the variables A B and C The last value you stored is shown on the right side of the display The cursor moves to the next line ready for...

Страница 305: ...mplex results 2 Press to convert the result to a decimal 3 Press to highlight and then press to paste it to the entry line 4 Press until the cursor is on the sign in the formula Press to edit the quad...

Страница 306: ...B and C respectively 4 Enter the quadratic formula using Classic entry B y C B 4 A C 2 A Because the solution is a complex number you have to enter the formula using the division operation instead of...

Страница 307: ...re of the TI 84 Plus displays numeric information about a function You can use a table of values from the function you just defined to estimate an answer to the problem lets you enter X quickly withou...

Страница 308: ...from positive to negative between 10 and 11 6 Press y Notice that TblStart has changed to 5 to reflect the first line of the table as it was last displayed In step 5 the first value of X displayed in...

Страница 309: ...3 68 in full precision is 410 264064 at X 3 69 is 410 262318 and at X 3 7 is 410 256 The maximum volume of the box would occur at 3 68 if you could measure and cut the paper at 01 centimeter incremen...

Страница 310: ...isplayed 2 Press to activate the free moving graph cursor The X and Y coordinate values for the position of the graph cursor are displayed on the bottom line 3 Press and to move the free moving cursor...

Страница 311: ...nu This menu 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...

Страница 312: ...ompt 2 Press to trace along the curve to a point to the left of the maximum and then press A 4 at the top of the screen indicates the selected bound A Right Bound prompt is displayed 3 Press to trace...

Страница 313: ...compare visually the correct guess data from this table Each row in the table represents the results observed for one subject Note that 10 women and 12 men were tested Procedure 1 Press 5 to select 5...

Страница 314: ...ate 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 Men s left hand data Men s right hand data Press and to examine mi...

Страница 315: ...raph the piecewise function that describes the cost of the ticket The fine Y as a function of kilometers per hour X is which simplifies to Procedure 1 Press z Select Func and Classic 2 Press o Turn of...

Страница 316: ...y is true and where it is false Note You can also investigate graphing inequalities using the Inequality Graphing application The application is pre loaded on your TI 84 Plus and can be downloaded fro...

Страница 317: ...quality is false You only see the intervals of the graph where Y4 Y5 because intervals that are false are multiplied by 0 Y6 Y4 and Y6 Y5 Solving a System of Nonlinear Equations Problem Using a graph...

Страница 318: ...ice the number of decimal places 7 Press y 5 to select 5 intersect Press to select the first curve and to select the second curve To guess move the trace cursor near the intersection Press What are th...

Страница 319: ...Seq 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 express...

Страница 320: ...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 your guess is correct Note This program c...

Страница 321: ...1 GraphStyle 2 5 Set line and path graph styles FnOff 2 randInt 1 10 A randInt 1 10 B 0 C 0 D Initialize coefficients L2p Xmin 2p Xmax p 2 Xscl L10 Ymin 10 Ymax 1 Yscl Set viewing window DispGraph Pau...

Страница 322: ...r Simul and the default settings 2 Press p Set the viewing window 3 Press o Turn off all functions and stat plots Enter the expressions to define the unit circle centered on 0 0 4 Enter the expression...

Страница 323: ...X2 625 Y2 3cos 1X 4 Press y 5 to select 5 Intersect The graph is displayed Select a first curve second curve and guess for the intersection toward the left side of the display The solution is display...

Страница 324: ...el but 25 meters b to the right of the ferris wheel s lowest point 25 0 The person throws the ball with velocity v0 of 22 meters per second at an angle q of 66 from the horizontal The parametric equat...

Страница 325: ...press to move near the point on the ferris wheel where 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 t...

Страница 326: ...e default settings 2 Press p Set the viewing window 3 Press o Turn off all functions and stat plots Enter the numerical integral of 1 T from 1 to X and the function ln X Set the graph style for Y1 to...

Страница 327: ...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 The graphs are displayed as each calculatio...

Страница 328: ...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 vertex Procedure 1 Press t B to select B Solver from the MATH menu Either the equation ed...

Страница 329: ...nd the area given B 6 and N 10 100 150 1000 and 10000 Compare your results with p62 the area of a circle with radius 6 which is approximately 113 097 7 Enter B 6 To find the area A move the cursor ont...

Страница 330: ...olygon 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 Computing and Graphing Mortgage Payments Problem You are a loan officer at a...

Страница 331: ...the house is displayed at the PV prompt Now compare the graph of the amount of interest with the graph of the amount of principal for each payment 4 Press z Set Par and Simul 5 Press o Turn off all f...

Страница 332: ...2T 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 240 441 97 of the 800 payment is interest Y 441...

Страница 333: ...lable RAM stores computations lists variables and data The available Archive lets you store programs Apps groups and other variables The App slots are actually individual sectors of Flash ROM where Ap...

Страница 334: ...Flash Application App Certificate Revision Number To display the About screen press y L and then select 1 About Displaying the MEMORY MANAGEMENT DELETE Menu Mem Mgmt Del displays the MEMORY MANAGEMENT...

Страница 335: ...ro even after memory is cleared Apps are independent applications which are stored in Flash ROM AppVars is a variable holder used to store variables created by Apps You cannot edit or change variables...

Страница 336: ...sor 4 next to the item you want to delete and then press The variable is deleted from memory You can delete individual variables one by one from this screen No warning will be given to verify the dele...

Страница 337: ...uted Archiving and UnArchiving Variables Archiving and UnArchiving Variables Archiving lets you store data programs or other variables to the user data archive ARC where they cannot be edited or delet...

Страница 338: ...Parametric equations X1T and Y1T X6T and Y6T no not applicable Polar functions r1 r2 r3 r4 r5 r6 no not applicable Sequence functions u v w no not applicable Stat plots Plot1 Plot2 Plot3 no not applic...

Страница 339: ...you may need to unarchive existing variables to create more free space To archive or unarchive a list variable L1 using the Archive UnArchive options from the MEMORY menu 1 Press y L to display the M...

Страница 340: ...selected portions of memory while preserving other data stored in memory such as programs and Y functions For instance you can choose to reset all of RAM or just restore the default settings Be aware...

Страница 341: ...g RAM defaults restores all system variables to default settings without deleting variables and programs in RAM Resetting all RAM or resetting defaults does not affect variables and applications in us...

Страница 342: ...memory follow these steps 1 From the RAM ARCHIVE ALL menu press to display the ARCHIVE menu 2 Select one of the following 1 Vars to display the RESET ARC VARS menu 2 Apps to display the RESET ARC APP...

Страница 343: ...u To cancel the reset and return to the HOME screen press 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...

Страница 344: ...ata 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 variables of all types available but not selected A s...

Страница 345: ...group stored in user data archive and place them ungrouped in RAM DuplicateName Menu During the ungrouping action if a duplicate variable name is detected in RAM the DUPLICATE NAME menu is displayed N...

Страница 346: ...ops and no further changes are made To ungroup a group of variables 1 Press y L to display the MEMORY menu 2 Select 8 Group to display the GROUP UNGROUP menu 3 Press to display the UNGROUP menu 4 Pres...

Страница 347: ...additional space is freed the variable may or may not be archived If not you can unarchive some variables and try again variable B variable C variable A variable D Depending on its size variable D is...

Страница 348: ...hows Enough Free Space Even if the MEMORY screen shows enough free space to archive a variable or store an application you may still get a Garbage Collect message or an ERR ARCHIVE FULL message When y...

Страница 349: ...mory This is done by using the GarbageCollect command To use the GarbageCollect command follow these steps 1 From the HOME screen press y N to display the CATALOG 2 Press or to scroll the CATALOG unti...

Страница 350: ...n 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 application To resolve the problem use t...

Страница 351: ...ess y 1 to store the matrix to A 3 On the sending unit press y L to display the MEMORY menu 4 On the sending unit press 2 to select 2 Mem Mgmt Del The MEMORY MANAGEMENT menu is displayed 5 On the send...

Страница 352: ...operating system software installed For example if you send a list that contains fractions OS 2 53MP and higher to a calculator with OS 2 43 a version error displays because OS 2 43 does not support f...

Страница 353: ...a personal computer The TI 84 Plus USB link port is located at the top right edge of the graphing calculator 1 Firmly insert either end of the USB unit to unit cable into the USB port 2 Insert the ot...

Страница 354: ...s L1 through L6 6 GDB Displays all graph databases 7 Pic Displays all picture data types 8 Matrix Displays all matrix data types 9 Real Displays all real variables 0 Complex Displays all complex varia...

Страница 355: ...e receiving unit which indicates it is set to receive 3 Press to select 1 Transmit The name and type of each item are displayed line by line on the sending unit as the item is queued for transmission...

Страница 356: ...y 8 on the sending unit 9 Select only the data type For example if the unit just sent a list select 4 LIST Note The item s you want to send are pre selected from the last transmission Do not select o...

Страница 357: ...Quit from the Error in Xmit menu When transmission is complete the unit exits the receive mode You can select 1 Receive again to receive more items The receiving unit then displays a list of items re...

Страница 358: ...l variables and programs from a TI 83 to a TI 84 Plus if they fit in the RAM of the TI 84 Plus The RAM of the TI 84 Plus is slightly less than the RAM of the TI 83 Backing Up RAM Memory Warning H Back...

Страница 359: ...83 TI 82 or TI 73 with variables or features not recognized by the TI 83 Plus TI 83 Plus Silver Edition TI 83 TI 82 or TI 73 New variable types and features not recognized by the TI 83 TI 83 Plus TI 8...

Страница 360: ...if the receiving unit does not have sufficient memory to receive an item the Memory Full menu is displayed on the receiving unit To skip this item for the current transmission select 1 Omit Transmissi...

Страница 361: ...set instructions only when you are in the program editor Function or Instruction Arguments Result Key or Keys Menu or Screen Item abs value Returns the absolute value of a real number expression list...

Страница 362: ...ty p of success on each trial y DISTR A binompdf checkTmr starttime Returns the number of seconds since you used startTmr to start the timer The starttime is the value displayed by startTmr y N checkT...

Страница 363: ...e complex conjugate of a complex number or list of complex numbers CPX 1 conj Connected Sets connected plotting mode resets all Y editor graph style settings to z Connected CoordOff Turns off cursor c...

Страница 364: ...CALC D dbd DEC Answers Displays answers as integers or decimal numbers z Answers DEC value4Dec Displays a real or complex number expression list or matrix in decimal format MATH 2 4Dec Degree Sets de...

Страница 365: ...style settings to z Dot DrawF expression Draws expression in terms of X on the graph y DRAW 6 DrawF DrawInv expression Draws the inverse of expression by plotting X values on the y axis and Y values o...

Страница 366: ...equ CALC 0 ExpReg ExprOff Turns off the expression display during TRACE y ExprOff ExprOn Turns on the expression display during TRACE y ExprOn cdf lowerbound upperbound numerator df denominator df Com...

Страница 367: ...d increment commands End commands Executes commands through End incrementing variable from begin by increment until variable end CTL 4 For fPart value Returns the fractional part or parts of a real or...

Страница 368: ...alc getDate Returns a list giving the date according to the current value of the clock The list is in year month day format y N getDate getDtFmt Returns an integer representing the date format that is...

Страница 369: ...ion commandA commands If condition 0 false skips commandA CTL 1 If If condition Then commands End commands Executes commands from Then to End if condition 1 true CTL 2 Then If condition Then commands...

Страница 370: ...ed by m and s y DISTR 3 invNorm invT area df Computes the inverse cumulative student t probability function specified by degree of freedom df for a given area under the curve y DISTR 4 invT iPart valu...

Страница 371: ...tname Ylistname freqlist alternative regequ Performs a linear regression and a t test alternative L1 is alternative 0 is alternative 1 is TESTS F LinRegTTest List list Returns a list containing the di...

Страница 372: ...he larger of each pair of elements in listA and listB y 9 MATH 2 max max value list Returns a real or complex list of the larger of value or each list element y 9 MATH 2 max mean list freqlist Returns...

Страница 373: ...Displays results as a simple fraction t 1 n d or NUM D n d nDeriv expression variable value H Returns approximate numerical derivative of expression with respect to variable at value with specified H...

Страница 374: ...ALC 7 npv valueA or valueB Returns 1 if valueA or valueB is 0 valueA and valueB can be real numbers expressions or lists y LOGIC 2 or Output row column text Displays text beginning at specified row an...

Страница 375: ...mt_End Specifies an ordinary annuity where payments occur at the end of each payment period 1 Finance CALC E Pmt_End poissoncdf m x Computes a cumulative probability at x for the discrete Poisson dist...

Страница 376: ...6 2 PropZTest Pt Change x y Reverses a point at x y y POINTS 3 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...

Страница 377: ...ger within a range specified by lower and upper integer bounds for a specified number of trials numtrials PRB 5 randInt randIntNoRep lowerint upperint Returns a random ordered list of integers from a...

Страница 378: ...0 remainder remainder list list Reports the remainder as a whole number from a division of two lists NUM 0 remainder Repeat condition commands End commands Executes commands until condition is true C...

Страница 379: ...ariances 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 does not pool varia...

Страница 380: ...S 5 seq Seq Sets sequence graphing mode z Seq Sequential Sets mode to graph functions sequentially z Sequential setDate year month day Sets the date using a year month day format The year must be 4 di...

Страница 381: ...of a real number expression or list y N sinh sinhL1 value Returns the hyperbolic arcsine of a real number expression or list y N sinhL1 SinReg iterations Xlistname Ylistname period regequ Attempts ite...

Страница 382: ...subset of another string from begin to length y N sub sum list start end Returns the sum of elements of list from start to end y 9 MATH 5 sum summation G expression start end Displays the MathPrint s...

Страница 383: ...DISTR 5 tpdf Trace Displays the graph and enters TRACE mode r T Test m0 listname freqlist alternative drawflag Data list input Performs a t test with frequency freqlist alternative L1 is alternative...

Страница 384: ...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 vwAxes Sets sequence graphs to plot v n on the x axis and w n on the y axis...

Страница 385: ...ZOOM 8 ZInteger ZInterval s listname freqlist confidence level Data list input Computes a z confidence interval TESTS 7 ZInterval ZInterval s v n confidence level Summary stats input Computes a z conf...

Страница 386: ...sults drawflag 0 calculates results TESTS 1 Z Test Z Test m0 s v n alternative drawflag Summary stats input Performs a z test alternative L1 is alternative 0 is alternative 1 is drawflag 1 draws resul...

Страница 387: ...ter than valueA valueB Returns 1 if valueA valueB Returns 0 if valueA valueB valueA and valueB can be real or complex numbers expressions or lists y TEST 3 Less than or equal valueA valueB Returns 1 i...

Страница 388: ...value Multiplication listA listB Returns listA elements times listB elements Multiplication value matrix Returns value times matrix elements Multiplication matrixA matrixB Returns matrixA times matrix...

Страница 389: ...listA elements Subtraction matrixANmatrixB Subtracts matrixB elements from matrixA elements Minutes notation degrees minutes s econds Interprets minutes angle measurement as minutes y ANGLE 2 Seconds...

Страница 390: ...of data to them The variables Str1 through Str9 and Str0 are restricted to strings you cannot store another type of data to them Except for system variables you can store any string of characters fun...

Страница 391: ...hm applies nonlinear recursive least squares techniques to optimize the following cost function which is the sum of the squares of the residual errors This technique attempts to estimate the constants...

Страница 392: ...of squares SS that make up the mean squares are The degrees of freedom df that make up the mean squares are Errordf ni 1 i 1 I denominatordf for I xi Sxi ni x 2 SampFTest Below is the definition for t...

Страница 393: ...2 Limits must satisfy the following where Lbnd Ubnd lower and upper limits The statistic is used as the bound producing the smallest integral The remaining bound is selected to achieve the preceding i...

Страница 394: ...is the pooled variance Financial Formulas This section contains financial formulas for computing time value of money amortization cash flow interest rate conversions and days between dates Time Value...

Страница 395: ...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 Gi i Appendix B Reference Information 388 The iteration used to compute i where i 0 where i 0 where i 0 w...

Страница 396: ...0 RND PV Iterate from m 1 to pmt2 then Balance principal and interest are dependent on the values of PMT PV and pmt1 and pmt2 Cash Flow where Sj ni i 1 j j 1 0 j 0 Net present value is dependent on t...

Страница 397: ...tion you can enter or compute a date within the range Jan 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...

Страница 398: ...tions such as or 8 Logic operator and 9 Logic operators or and xor Remember that EOS evaluates from left to right and calculations within parentheses are evaluated first You should use parentheses whe...

Страница 399: ...ve L1 or any file to Restore Message Your TI 84 Plus displays the Link Receive L1 or any file to Restore message if it has been disabled for testing and not re enabled To restore your calculator to fu...

Страница 400: ...to you It is always a good idea to back up your graphing calculator device files and Apps using the TI Connect software and a USB computer cable You can find the specific procedures for backing up yo...

Страница 401: ...ed to send or receive an application and an error e g electrical interference has occurred in the transmission BAD GUESS In a CALC operation you specified a Guess that is not between Left Bound and Ri...

Страница 402: ...I 82 You 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...

Страница 403: ...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 with a...

Страница 404: ...x A displays the arguments and punctuation needed to execute the function or instruction For example stdDev list freqlist is a function of the TI 84 Plus The arguments are shown in italics The argumen...

Страница 405: ...en or a program in Full screen mode Xmax is calculated as Xmin X 94 In G T split screen mode Xmax is calculated as Xmin X 46 Ymin is the center of the next to the bottom pixel Ymax is the center of th...

Страница 406: ...ost functions at least five accurate digits exist For fMin fMax and fnInt on the MATH menu and solve in the CATALOG the tolerance can be specified Function Limits Function Range of Input Values sin x...

Страница 407: ...ry Information When to Replace the Batteries The TI 84 Plus uses five batteries four AAA alkaline batteries and one button cell backup battery The backup battery provides auxiliary power to retain mem...

Страница 408: ...iagrams Do not place nonrechargeable batteries in a battery recharger Properly dispose of used batteries immediately Do not leave them within the reach of children Do not incinerate or dismantle batte...

Страница 409: ...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 the cursor at or near the error location Determine the error...

Страница 410: ...set your graphing calculator the contrast sometimes changes If the screen is faded or blank adjust the contrast by pressing y and releasing or 7 If the above solutions do not work you can reset all of...

Страница 411: ...ne proportion z confidence interval 232 369 1 PropZTest one proportion z test 227 369 1 Var Stats one variable statistics 200 377 2 PropZInt two proportion z confidence interval 232 369 2 PropZTest tw...

Страница 412: ...56 ClrTable clear table 292 356 coefficients of determination r2 R2 196 colon separator 278 combinations nCr 57 366 compiling an assembly program 294 354 complex modes a bi re qi 17 50 355 370 numbers...

Страница 413: ...entry notation 60 382 Dot plotting mode 17 358 dot graph style 71 dot pixel mark 132 210 dr dq operation on a graph 101 DRAW menu 122 Draw output option 218 220 DRAW POINTS menu 131 DRAW STO draw sto...

Страница 414: ...TVM 255 Fix fixed decimal mode 16 359 fixed decimal mode Fix 16 359 Float floating decimal mode 16 359 floating decimal mode Float 16 359 fMax function maximum 360 fMin function minimum 40 360 fnInt f...

Страница 415: ...2 If Then Else 282 362 imag imaginary part 55 362 imaginary part imag 55 imaginary part imag 362 implied multiplication 29 increment and skip IS 286 increment and skip IS 363 independent variable 116...

Страница 416: ...ring and displaying 163 using to graph a family of curves 77 164 using with math operations 36 167 ln 37 364 LnReg logarithmic regression 202 364 log 37 364 Logistic regression 203 364 logistic regres...

Страница 417: ...operator 63 367 nPr permutations 57 367 npv net present value 258 367 numerical derivative 40 89 96 101 numerical integral 40 90 O Omit 338 351 one proportion z confidence interval 1 PropZInt 232 369...

Страница 418: ...ratic regression 201 370 QuartReg quartic regression 202 370 Quick Zoom 80 Quit 338 351 R r correlation coefficient 196 R radian notation 61 379 r2 R2 coefficients of determination 196 R4Pr R4Pq recta...

Страница 419: ...4 sinh hyperbolic arcsine 273 374 SinReg sinusoidal regression 203 374 Smart Graph 76 solve 44 374 Solver 42 solving for variables in the equation solver 43 SortA sort ascending 168 194 374 SortD sort...

Страница 420: ...lines drawing 126 Tangent draw line 126 375 tanh hyperbolic tangent 273 375 tanh hyperbolic arctangent 273 375 TblStart table start variable 116 tcdf student t distribution probability 244 375 TEST re...

Страница 421: ...string 268 test and interval output 240 types 19 user and system 20 383 VARS and Y VARS menus 27 variance of a list variance 176 variance of a list variance 377 variance variance of a list 176 377 VAR...

Страница 422: ...8 ZoomStat statistics zoom 83 378 ZoomSto store zoom window 85 378 ZPrevious use previous window 379 ZSquare set square pixels 82 379 ZStandard use standard window 83 379 Z Test one sample z test 223...

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