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17-12   Applications

8317APPS.DOC   TI-83 international English   Bob Fedorisko   Revised: 02/19/01 1:00 PM   Printed: 02/19/01 1:39 PM

Page 12 of 20

Using two pairs of parametric equations, determine when
two objects in motion are closest to each other in the same
plane.

A ferris wheel has a diameter (d) of 20 meters and is
rotating counterclockwise at a rate (s) of one revolution
every 12 seconds. The parametric equations below
describe the location of a ferris wheel passenger at time T,
where 

a

 is the angle of rotation, (0,0) is the bottom center

of the ferris wheel, and (10,10) is the passenger’s location
at the rightmost point, when T=0.

X(T) = r cos 

a

where 

a

 = 2

p

Ts and r = d

à

2

Y(T) = r + r sin 

a

A person standing on the ground throws a ball to the ferris
wheel passenger. The thrower’s arm is at the same height as
the bottom of the ferris wheel, but 25 meters (b) to the right
of the ferris wheel’s lowest point (25,0). The person throws
the ball with velocity (v

0

) of 22 meters per second at an

angle (

q

) of 66

¡

 from the horizontal. The parametric

equations below describe the location of the ball at time T.

X(T) = b 

N

 Tv

0

 cos

q

Y(T) = Tv

0

 sin

q

 

N

 (g

à

2 )  T

2

where

g =

9.8 m / sec

2

1. Press 

z

. Select 

Par

, 

Simul

, and the default settings.

Simul

 (simultaneous) mode simulates the two objects in

motion over time.

2. Press 

p

. Set the viewing window.

Tmin=0

Xmin=

L

13

Ymin=0

Tmax=12

Xmax=34

Ymax=31

Tstep=.1

Xscl=10

Yscl=10

3. Press 

o

. Turn off all functions and stat plots. Enter the

expressions to define the path of the ferris wheel and the
path of the ball. Set the graph style for 

X

2T

 to 

ë

 (path).

Tip: Try setting the graph styles to 

ë

 X

1T

 and 

ì

 X

2T

, which simulates a

chair on the ferris wheel and the ball flying through the air when you
press 

s

.

Using Parametric Equations: Ferris Wheel Problem

Problem

Procedure

Содержание 83CML/ILI/U - 83 Plus Graphics Calc

Страница 1: ...Laboratory CBL CBL 2 Calculator Based Ranger CBR Constant Memory Automatic Power Down APD and EOS are trademarks of Texas Instruments Incorporated IBM is a registered trademark of International Busin...

Страница 2: ...e pursuant to Part 15 of the FCC rules These limits are designed to provide reasonable protection against harmful interference in a residential installation This equipment generates uses and can radia...

Страница 3: ...ion Box with Lid 9 Defining a Table of Values Box with Lid 10 Zooming In on the Table Box with Lid 11 Setting the Viewing Window Box with Lid 12 Displaying and Tracing the Graph Box with Lid 13 Zoomin...

Страница 4: ...Graph Modes 3 4 Defining Functions 3 5 Selecting and Deselecting Functions 3 7 Setting Graph Styles for Functions 3 9 Setting the Viewing Window Variables 3 11 Setting the Graph Format 3 13 Displayin...

Страница 5: ...ble 7 5 Getting Started Drawing a Tangent Line 8 2 Using the DRAW Menu 8 3 Clearing Drawings 8 4 Drawing Line Segments 8 5 Drawing Horizontal and Vertical Lines 8 6 Drawing Tangent Lines 8 8 Drawing F...

Страница 6: ...ting Started Pendulum Lengths and Periods 12 2 Setting up Statistical Analyses 12 10 Using the Stat List Editor 12 11 Attaching Formulas to List Names 12 14 Detaching Formulas from List Names 12 16 Sw...

Страница 7: ...d Deleting Programs 16 4 Entering Command Lines and Executing Programs 16 5 Editing Programs 16 6 Copying and Renaming Programs 16 7 PRGM CTL Control Instructions 16 8 PRGM I O Input Output Instructio...

Страница 8: ...ing Items 19 5 Transmitting Items 19 6 Transmitting Lists to a TI 82 19 8 Transmitting from a TI 82 to a TI 83 19 9 Backing Up Memory 19 10 Table of Functions and Instructions A 2 Menu Map A 39 Variab...

Страница 9: ...atic Formula 6 Converting to a Fraction The Quadratic Formula 7 Displaying Complex Results The Quadratic Formula 8 Defining a Function Box with Lid 9 Defining a Table of Values Box with Lid 10 Zooming...

Страница 10: ...ed function keys and scientific calculator keys Graphing keys access the interactive graphing features Editing keys allow you to edit expressions and values Advanced function keys display menus that a...

Страница 11: ...key When you press the yellow y key the character abbreviation or word printed in yellow above the other keys becomes active for the next keystroke For example when you press y and then the TEST menu...

Страница 12: ...top line When you highlight a menu name the items in that menu are displayed Press and to highlight each menu name Selecting an Item from a Menu The number or letter next to the current menu item is h...

Страница 13: ...n press MEM above When you press y you access the operation printed in yellow above the next key that you press MEM is the y operation of the key The MEMORY menu is displayed 3 Press 5 to select 5 Res...

Страница 14: ...ient of the X term Press to enter a new instruction on the same line Press 2 C above 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...

Страница 15: ...culated answer 3 Press to convert the result to a fraction To save keystrokes you can recall the last expression you entered and then edit it for a new calculation 4 Press y ENTRY above to recall the...

Страница 16: ...he coefficient of the X2 term the coefficient of the X term and the constant for the new equation are stored to A B and C respectively 4 Press y ENTRY to recall the store instruction and then press y...

Страница 17: ...ould give your box the maximum volume V Use the table and graphs to determine the solution Begin by defining a function that describes the volume of the box From the diagram 2X A 20 2X 2B 25 V A B X S...

Страница 18: ...Indpnt Auto and Depend Auto so that the table will be generated automatically 4 Press y TABLE above s to display the table Notice that the maximum value for Y1 box s volume occurs when X is about 4 be...

Страница 19: ...ch occurs at X 3 7 Therefore the maximum occurs where 3 6 X 3 8 4 Press y TBLSET Press 3 6 to set TblStart Press 01 to set Tbl 5 Press y TABLE and then press and to scroll the table Four equivalent ma...

Страница 20: ...indow 1 Press p to display the window editor where you can view and edit the values of the window variables The standard window variables define the viewing window as shown Xmin Xmax Ymin and Ymax def...

Страница 21: ...ction using the TRACE feature 1 Press s to graph the selected function in the viewing window The graph of Y1 20N2X 25 2NX X is displayed 2 Press to activate the free moving graph cursor The X and Y co...

Страница 22: ...ss and to trace along Y1 one X dot at a time evaluating Y1 at each X You also can enter your estimate for the maximum value of X 6 Press 3 8 When you press a number key while in TRACE the X prompt is...

Страница 23: ...em you can either press the number or letter next to the item or you can press until the item number or letter is highlighted and then press 2 Press 2 to select 2 Zoom In The graph is displayed again...

Страница 24: ...prompt is displayed 3 Press to trace along the curve to a point to the right of the maximum and then press A 3 at the top of the screen indicates the selected bound A Guess prompt is displayed 4 Press...

Страница 25: ...screen horizontally to display both a graph and a related editor such as the Y editor the table the stat list editor or the home screen Also you can split the screen vertically to display a graph and...

Страница 26: ...sh flow functions You can amortize loans with the amortization functions Chapter 14 The CATALOG is a convenient alphabetical list of all functions and instructions on the TI 83 You can paste any funct...

Страница 27: ...Setting the Display Contrast 1 3 The Display 1 4 Entering Expressions and Instructions 1 6 TI 83 Edit Keys 1 8 Setting Modes 1 9 Using TI 83 Variable Names 1 13 Storing Variable Values 1 14 Recalling...

Страница 28: ...you left it including the display cursor and any error To prolong the life of the batteries APD turns off the TI 83 automatically after about five minutes without any activity To turn off the TI 83 m...

Страница 29: ...t symbol yellow half shaded circle lightens the screen darkens the screen Note If you adjust the contrast setting to 0 the display may become completely blank To restore the screen press and release y...

Страница 30: ...or Chapter 16 is longer than one line it wraps to the beginning of the next line In numeric editors such as the window screen Chapter 3 a long expression scrolls to the right and left When an entry is...

Страница 31: ...itten Insert Underline __ A character is inserted in front of the cursor location Second Reverse arrow A 2nd character yellow on the keyboard is entered or a 2nd operation is executed Alpha Reverse A...

Страница 32: ...nus An expression is completed when you press regardless of the cursor location The entire expression is evaluated according to Equation Operating System EOS rules page 1 22 and the answer is displaye...

Страница 33: ...one argument as indicated by an open parenthesis following the name For example sin requires one argument sin value An instruction initiates an action For example ClrDraw is an instruction that clear...

Страница 34: ...lank line on the home screen clears everything on the home screen In an editor clears the expression or value where the cursor is located it does not store a zero Deletes a character at the cursor thi...

Страница 35: ...at 0123456789 Number of decimal places Radian Degree Unit of angle measure Func Par Pol Seq Type of graphing Connected Dot Whether to connect graph points Sequential Simul Whether to plot simultaneous...

Страница 36: ...e digits before the decimal and the power of 10 exponent is a multiple of three as in 12 34567E3 Note If you select Normal notation but the answer cannot display in 10 digits or the absolute value is...

Страница 37: ...aphing modes define the graphing parameters Chapters 3 4 5 and 6 describe these modes in detail Func function graphing mode plots functions where Y is a function of X Chapter 3 Par parametric graphing...

Страница 38: ...any functions Real mode does not display complex results unless complex numbers are entered as input Two complex modes display complex results a bi rectangular complex mode displays complex numbers i...

Страница 39: ...ence functions u v w Stat plots Plot1 Plot2 Plot3 Graph databases GDB1 GDB2 GDB9 GDB0 Graph pictures Pic1 Pic2 Pic9 Pic0 Strings Str1 Str2 Str9 Str0 System variables Xmin Xmax and others You can creat...

Страница 40: ...e from the home screen or a program using the key begin on a blank line and follow these steps 1 Enter the value you want to store The value can be an expression 2 Press is copied to the cursor locati...

Страница 41: ...y LIST and then select the name of the list or press y Ln Press and then select the name of the matrix Press to display the VARS menu or to display the VARS Y VARS menu then select the type and then t...

Страница 42: ...the current line is cleared and the last entry is pasted to the line Because the TI 83 updates ENTRY only when you press you can recall the previous entry even if you have begun to enter the next expr...

Страница 43: ...arate each expression or instruction with a colon then press All expressions and instructions separated by colons are stored in ENTRY When you press y ENTRY all the expressions and instructions separa...

Страница 44: ...es the value of Ans in the calculation Calculate the area of a garden plot 1 7 meters by 4 2 meters Then calculate the yield per square meter if the plot produces a total of 147 tomatoes 1 7 4 2 147 y...

Страница 45: ...replaces the colon next to the last displayed item When a menu item ends in an ellipsis the item displays a secondary menu or editor when you select it To display any other menu listed on the top line...

Страница 46: ...and PRGM EDIT menus only items 1 through 9 and 0 are labeled in such a way that you can select them by pressing the appropriate number key To move the cursor to the first item beginning with any alpha...

Страница 47: ...1 Function 2 Parametric and 3 Polar display secondary menus of the Y function variables VARS Y VARS 1 Function Yn functions 2 Parametric XnT YnT functions 3 Polar rn functions 4 On Off Lets you select...

Страница 48: ...ctions that precede the argument such as sin or log 2 Functions that are entered after the argument such as 2 M1 r and conversions 3 Powers and roots such as 2 5 or 5x 32 4 Permutations nPr and combin...

Страница 49: ...closed automatically at the end of an expression This is also true for open parenthetical elements that precede the store or display conversion instructions Note An open parenthesis following a list...

Страница 50: ...select 1 Quit or press y QUIT or then the home screen is displayed If you select 2 Goto then the previous screen is displayed with the cursor at or near the error location Note If a syntax error occur...

Страница 51: ...ath Operations 2 3 MATH Operations 2 5 Using the Equation Solver 2 8 MATH NUM Number Operations 2 13 Entering and Using Complex Numbers 2 16 MATH CPX Complex Operations 2 18 MATH PRB Probability Opera...

Страница 52: ...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 of 40 elements i...

Страница 53: ...n Degree mode it returns 5 sin value cos value tan value You can use the inverse trig functions arcsine y SINL1 arccosine y COSL1 and arctangent y TANL1 with real numbers expressions and lists The cur...

Страница 54: ...ess y e to copy e to the cursor location In calculations the TI 83 uses 2 718281828459 for e M negation returns the negative of value You can use M with real or complex numbers expressions lists and m...

Страница 55: ...ntegral 0 Solver Displays the equation solver 4Frac display as a fraction displays an answer as its rational equivalent You can use 4Frac with real or complex numbers expressions lists and matrices If...

Страница 56: ...u can use x with real or complex numbers expressions and lists xthrootx value fMin function minimum and fMax function maximum return the value at which the local minimum or local maximum value of expr...

Страница 57: ...2H As H becomes smaller the approximation usually becomes more accurate You can use nDeriv once in expression Because of the method used to calculate nDeriv the TI 83 can return a false derivative va...

Страница 58: ...solver editor see step 3 picture on page 2 9 is displayed when an equation is stored in eqn To enter an expression in the equation solver assuming that the variable eqn is empty follow these steps 1 S...

Страница 59: ...s beyond the screen Tip To use the solver to solve an equation such as K 5MV2 enter eqn 0 KN 5MV2 in the equation editor When you enter or edit a value for a variable in the interactive solver editor...

Страница 60: ...editor if not already displayed 2 Enter or edit the value of each known variable All variables except the unknown variable must contain a value To move the cursor to the next variable press or 3 Ente...

Страница 61: ...ates that the equation is balanced An ellipsis shows that the value continues beyond the screen Note When a number continues beyond the screen be sure to press to scroll to the end of the number to se...

Страница 62: ...l that process enter bounds that are relatively close to the solution and enter an initial guess within those bounds This will help to find a solution more quickly Also it will define which solution y...

Страница 63: ...mmon multiple 9 gcd Greatest common divisor abs absolute value returns the absolute value of real or complex modulus numbers expressions lists and matrices abs value Note abs is also available on the...

Страница 64: ...art value fPart fractional part returns the fractional part or parts of real or complex numbers expressions lists and matrices fPart value int greatest integer returns the largest integer real or comp...

Страница 65: ...ax list min listA listB max listA listB min list value max list value Note min and max also are available on the LIST MATH menu lcm returns the least common multiple of valueA and valueB both of which...

Страница 66: ...ctangular form but you can enter a complex number in rectangular form or polar form regardless of the mode setting The components of complex numbers can be real numbers or expressions that evaluate to...

Страница 67: ...to 1 To enter a complex number in rectangular form enter the value of a real component press or enter the value of b imaginary component and press y i constant real component or N imaginary component...

Страница 68: ...splays the result in rectangular form 7 4Polar Displays the result in polar form conj conjugate returns the complex conjugate of a complex number or list of complex numbers conj a bi returns aNbi in a...

Страница 69: ...ute value returns the magnitude modulus real2 imag2 of a complex number or list of complex numbers abs a bi returns a2 b2 abs re qi returns r magnitude 4Rect display as rectangular displays a complex...

Страница 70: ...ist of random numbers specify an integer 1 for numtrials number of trials The default for numtrials is 1 rand numtrials Tip To generate random numbers beyond the range of 0 to 1 you can include rand i...

Страница 71: ...s nCr number factorial returns the factorial of either an integer or a multiple of 5 For a list it returns factorials for each integer or multiple of 5 value must be L 5 and 69 value Note The factoria...

Страница 72: ...bution Each generated value could be any real number but most will be within the interval mN3 s m 3 s To generate a list of random numbers specify an integer 1 for numtrials number of trials if not sp...

Страница 73: ...the second symbol degrees must be a real number minutes and seconds must be real numbers 0 degrees minutes seconds For example enter for 30 degrees 1 minute 23 seconds If the angle mode is not set to...

Страница 74: ...23 The mode setting must be Degree for answer to be interpreted as degrees minutes and seconds 8DMS is valid only at the end of a line answer8DMS R8Pr converts rectangular coordinates to polar coordi...

Страница 75: ...are matrices both must have the same dimensions Relational operators are often used in programs to control program flow and in graphing to control the graph of a function over specific values valueA v...

Страница 76: ...unction over specific values Values are interpreted as zero false or nonzero true and or and xor exclusive or return a value of 1 if an expression is true or 0 if an expression is false according to t...

Страница 77: ...ng the Graph Modes 3 4 Defining Functions 3 5 Selecting and Deselecting Functions 3 7 Setting Graph Styles for Functions 3 9 Setting the Viewing Window Variables 3 11 Setting the Graph Format 3 13 Dis...

Страница 78: ...hich defines the top half of the circle The expression Y L 100NX2 defines the bottom half of the circle On the TI 83 you can define one function in terms of another To define Y2 LY1 press to enter the...

Страница 79: ...wing window variables page 3 11 6 Press y FORMAT and select the graph format settings page 3 13 After you have defined a graph press s to display it Explore the behavior of the function or functions u...

Страница 80: ...r mode settings affect graphing results Chapter 1 describes each mode setting Float or 0123456789 fixed decimal mode affects displayed graph coordinates Radian or Degree angle mode affects interpretat...

Страница 81: ...fine or edit To erase a function press 3 Enter or edit the expression to define the function You may use functions and variables including matrices and lists in the expression When the expression eval...

Страница 82: ...2 Press 3 Press 1 to select 1 Function from the VARS Y VARS menu 4 Select the function name which pastes the name to the cursor location on the home screen or program editor 5 Press to complete the i...

Страница 83: ...you want to select or deselect 3 Press to place the cursor on the function s sign 4 Press to change the selection status When you enter or edit a function it is selected automatically When you clear a...

Страница 84: ...s or 2 FnOff to turn off one or more functions The instruction you select is copied to the cursor location 4 Enter the number 1 through 9 or 0 not the variable Yn of each function you want to turn on...

Страница 85: ...h and draws a path Animate A circular cursor traces the leading edge of the graph without drawing a path Dot A small dot represents each plotted point this is the default in Dot mode Note Some graph s...

Страница 86: ...fifth or function repeating the order described above When shaded areas intersect the patterns overlap Note When or is selected for a Y function that graphs a family of curves such as Y1 1 2 3 X the f...

Страница 87: ...solution 1 through 8 for function graphs only The default is 1 At 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 p...

Страница 88: ...s to display the Seq window variables U V W secondary menu 5 Select the window variable to which you want to store a value The name of the variable is pasted to the current cursor location 6 Press to...

Страница 89: ...aphing mode has an additional mode setting Chapter 6 To change a format setting follow these steps 1 Press and as necessary to move the cursor to the setting you want to select 2 Press to select the h...

Страница 90: ...nd to the tick marks page 3 11 on each axis GridOff does not display grid points GridOn displays grid points AxesOn displays the axes AxesOff does not display the axes This overrides the LabelOff Labe...

Страница 91: ...a TI 83 feature that redisplays the last graph immediately when you press s but only if all graphing factors that would cause replotting have remained the same since the graph was last displayed If y...

Страница 92: ...to Y2 and press s again The function Y2 is graphed on top of Y1 the original function If you enter a list Chapter 11 as an element in an expression the TI 83 plots the function for each value in the...

Страница 93: ...coordinate values press or When you press or the cursor moves from the same position The free moving cursor moves from pixel to pixel on the screen When you move the cursor to a pixel that appears to...

Страница 94: ...cursor do this to the previous or next plotted point press or five plotted points on a function Xres affects this press y or y to any valid X value on a function enter a value and then press from one...

Страница 95: ...ing window While tracing you can press to adjust the viewing window so that the cursor location becomes the center of the new viewing window even if the cursor is above or below the display This allow...

Страница 96: ...es on the X and Y axes 9 ZoomStat Sets the values for current stat lists 0 ZoomFit Fits YMin and YMax between XMin and XMax When you select 1 ZBox 2 Zoom In or 3 Zoom Out the cursor on the graph becom...

Страница 97: ...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 window and t...

Страница 98: ...unctions Those preset values in Radian mode are shown below Xmin L 47 24 p Ymin L4 Xmax 47 24 p Ymax 4 Xscl p 2 Yscl 1 ZInteger redefines the viewing window to the dimensions shown below To use ZInteg...

Страница 99: ...he last ZOOM instruction ZoomSto immediately stores the current viewing window The graph is displayed and the values of the current window variables are stored in the user defined ZOOM variables ZXmin...

Страница 100: ...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 You can change XFact and YFact in either of two ways Enter a...

Страница 101: ...ion value evaluates one or more currently selected functions for a specified value of X Note When a value is displayed for X press to clear the value When no value is displayed press to cancel the val...

Страница 102: ...he current graph is displayed with Left Bound in the bottom left corner 2 Press or to move the cursor onto the function for which you want to find a zero 3 Press or or enter a value to select the x va...

Страница 103: ...ns press or To restore the free moving cursor press or intersect finds the coordinates of a point at which two or more functions intersect using solve The intersection must appear on the display to us...

Страница 104: ...rsor is on the solution and the numerical derivative is displayed To move to the same x value for other selected functions press or To restore the free moving cursor press or f x dx numerical integral...

Страница 105: ...international English Bob Fedorisko Revised 02 19 01 12 17 PM Printed 02 19 01 1 36 PM Page 1 of 8 4 Parametric Graphing Getting Started Path of a Ball 4 2 Defining and Displaying Parametric Graphs 4...

Страница 106: ...all as a function of time has horizontal and vertical components Horizontal X1 t tv0cos q Vertical Y1 t tv0sin q N 1 2 gt2 The vertical and horizontal vectors of the ball s motion also will be graphed...

Страница 107: ...for the window variables Tmin 0 Xmin L10 Ymin L5 Tmax 5 Xmax 100 Ymax 15 Tstep 1 Xscl 50 Yscl 10 9 Press y FORMAT to set AxesOff which turns off the axes 10 Press s The plotting action simultaneously...

Страница 108: ...of parametric equations After selecting Par graphing mode press o to display the parametric Y editor In this editor you can display and enter both the X and Y components of up to six equations X1T and...

Страница 109: ...and Y1T through X6T and Y6T To change the selection status move the cursor onto the sign of either the X or Y component and press The status of both the X and Y components is changed To display the w...

Страница 110: ...s It evaluates the X and Y components for each value of T from Tmin to Tmax in intervals of Tstep and then plots each point defined by X and Y The window variables define the viewing window As the gra...

Страница 111: ...ation one Tstep at a time When you begin a trace the trace cursor is on the first selected function at Tmin If ExprOn is selected then the function is displayed In RectGC format TRACE updates and disp...

Страница 112: ...ewing window When you have completed the entry press to move the cursor ZOOM operations in Par graphing work the same as in Func graphing Only the X Xmin Xmax and Xscl and Y Ymin Ymax and Yscl window...

Страница 113: ...TI 83 international English Bob Fedorisko Revised 02 19 01 12 19 PM Printed 02 19 01 1 36 PM Page 1 of 6 5 Polar Graphing Getting Started Polar Rose 5 2 Defining and Displaying Polar Graphs 5 3 Explo...

Страница 114: ...ther mode settings 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 pe...

Страница 115: ...enter values for the window variables and before you enter polar equations After selecting Pol graphing mode press o to display the polar Y editor In this editor you can enter and display up to six p...

Страница 116: ...status move the cursor onto the sign and then press To display the window variable values press p These variables define the viewing window The values below are defaults for Pol graphing in Radian an...

Страница 117: ...ations 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 updat...

Страница 118: ...e trace cursor beyond the top or bottom of the screen the coordinate values at the bottom of the screen continue to change appropriately Quick Zoom is available in Pol graphing mode panning is not Cha...

Страница 119: ...phing Getting Started Forest and Trees 6 2 Defining and Displaying Sequence Graphs 6 3 Selecting Axes Combinations 6 8 Exploring Sequence Graphs 6 9 Graphing Web Plots 6 11 Using Web Plots to Illustra...

Страница 120: ...en press 4 Press 3 to select iPart integer part because only whole trees are harvested After each annual harvest 80 percent 80 of the trees remain Press 8 y u 1 to define the number of trees after eac...

Страница 121: ...current plotting order mode setting The TI 83 has three sequence functions that you can enter from the keyboard u v and w They are above the and keys You can define sequence functions in terms of The...

Страница 122: ...in one editor the new value for nMin is updated in both editors Note Use u nMin v nMin or w nMin only with a recursive sequence which requires an initial value The icons to the left of u n v n and w...

Страница 123: ...r the function name w press y w above Generally sequences are either nonrecursive or recursive Sequences are evaluated only at consecutive integer values n is always a series of consecutive integers s...

Страница 124: ...he sequence above returns 1 2 4 8 16 Tip On the TI 83 you must type each character of the terms For example to enter u nN1 press y u Recursive sequences require an initial value or values since they r...

Страница 125: ...1 Spacing between the Y tick marks nMin must be an integer 0 nMax PlotStart and PlotStep must be integers 1 nMin is the smallest n value to evaluate nMin also is displayed in the sequence Y editor nM...

Страница 126: ...ff Axes display on or off LabelOff LabelOn Axes label display off or on ExprOn ExprOff Expression display on or off For sequence graphing you can select from five axes formats The table below shows th...

Страница 127: ...tions To center the viewing window on the current cursor location after you have moved the trace cursor press The trace cursor returns to nMin In Web format the trail of the cursor helps identify poin...

Страница 128: ...available in Seq graphing is value When Time axes format is selected value displays Y the u n value for a specified n value When Web axes format is selected value draws the web and displays Y the u n...

Страница 129: ...x reference line in AxesOn format Plots the selected sequences with u nN1 as the independent variable Note A potential convergence point occurs whenever a sequence intersects the y x reference line H...

Страница 130: ...5 Ymax 10 PlotStart 1 Xscl 1 Yscl 1 PlotStep 1 4 Press s to graph the sequence 5 Press y FORMAT and select the Web axes setting 6 Press p and change the variables below Xmin L10 Xmax 10 7 Press s to g...

Страница 131: ...xample uses the model to determine the equilibrium populations of wolves and rabbits with initial populations of 200 rabbits u nMin and 50 wolves v nMin These are the variables given values are in par...

Страница 132: ...aph the sequence 5 Press r to individually trace the number of rabbits u n and wolves v n over time n Tip Press a number and then press to jump to a specific n value month while in TRACE 6 Press y FOR...

Страница 133: ...82 It shows TI 83 sequences and sequence window variables as well as their TI 82 counterparts TI 83 TI 82 In the Y editor u n Un u nMin UnStart window variable v n Vn v nMin VnStart window variable w...

Страница 134: ...r with the TI 82 It compares TI 83 sequence name syntax and variable syntax with TI 82 sequence name syntax and variable syntax TI 83 TI 82 On TI 83 press On TI 82 press n n y n u n Un y u y Y VARS v...

Страница 135: ...tional English Bob Fedorisko Revised 02 19 01 12 26 PM Printed 02 19 01 1 36 PM Page 1 of 6 7 Tables Getting Started Roots of a Function 7 2 Setting Up the Table 7 3 Defining the Dependent Variables 7...

Страница 136: ...to set Func graphing mode 2 Press o Press 3 to select 3 Then press 2 to enter the function Y1 X3N2X 3 Press y TBLSET to display the TABLE SETUP screen Press 10 to set TblStart L10 Press 1 to set Tbl...

Страница 137: ...the independent variable all corresponding dependent variable values are calculated and displayed automatically Indpnt Auto Depend Ask Values are displayed automatically for the independent variable...

Страница 138: ...low these steps 1 Press y TABLE to display the table then press or to move the cursor to a dependent variable column 2 Press until the cursor is on the function name at the top of the column The funct...

Страница 139: ...ables Y1 and Y2 are displayed because Func graphing mode is set Graphing Mode Independent Variable Dependent Variable Func function X Y1 through Y9 and Y0 Par parametric T X1T Y1T through X6T Y6T Pol...

Страница 140: ...ates and displays values of X 0 6 but you can press to scroll back and display the table for X M1 5 If you have defined more than two dependent variables the first two selected Y functions are display...

Страница 141: ...8 4 Drawing Line Segments 8 5 Drawing Horizontal and Vertical Lines 8 6 Drawing Tangent Lines 8 8 Drawing Functions and Inverses 8 9 Shading Areas on a Graph 8 10 Drawing Circles 8 11 Placing Text on...

Страница 142: ...2 2 for the function Y sinX Before you begin select Radian and Func mode from the mode screen if necessary 1 Press o to display the Y editor Press to store sin X in Y1 2 Press q 7 to select 7 ZTrig wh...

Страница 143: ...rm one or more of the following actions Change the mode settings on the mode screen Change the format settings on the format screen Enter or edit functions in the Y editor Select or deselect functions...

Страница 144: ...awings on a graph from the home screen or a program begin on a blank line on the home screen or in the program editor Select 1 ClrDraw from the DRAW menu The instruction is copied to the cursor locati...

Страница 145: ...in 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 and 3 To can...

Страница 146: ...Horizontal or 4 Vertical from the DRAW menu A line is displayed that moves as you move the cursor 2 Place the cursor on the y coordinate for horizontal lines or x coordinate for vertical lines through...

Страница 147: ...izontal line draws a horizontal line at Y y y can be an expression but not a list Horizontal y Vertical vertical line draws a vertical line at X x x can be an expression but not a list Vertical x To i...

Страница 148: ...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 of the tangent line In...

Страница 149: ...nteractive DrawF expression Note You cannot use a list in expression to draw a family of curves DrawInv draw inverse draws the inverse of expression by plotting X values on the y axis and Y values on...

Страница 150: ...specify left and right boundaries for the shading Xleft and Xright must be numbers between Xmin and Xmax which are the defaults pattern specifies one of four shading patterns pattern 1 vertical defau...

Страница 151: ...dow variable values because you drew it directly on the display When you use the Circle instruction from the home screen or a program the current window variables may distort the shape To continue dra...

Страница 152: ...el Text press Text places on the current graph the characters comprising value which can include TI 83 functions and instructions The top left corner of the first character is at pixel row column wher...

Страница 153: ...lace the cursor on the point where you want to begin drawing Press to turn on the pen 3 Move the cursor As you move the cursor you draw on the graph shading one pixel at a time 4 Press to turn off the...

Страница 154: ...On Turns on a point 2 Pt Off Turns off a point 3 Pt Change Toggles a point on or off 4 Pxl On Turns on a pixel 5 Pxl Off Turns off a pixel 6 Pxl Change Toggles a pixel on or off 7 pxl Test Returns 1...

Страница 155: ...DRAW POINTS menu 2 Move the cursor to the point you want to change 3 Press to change the point s on off status To continue changing points repeat steps 2 and 3 To cancel Pt Change press Pt On point o...

Страница 156: ...nd 62 and column is an integer between 0 and 94 Pxl Off turns the pixel off Pxl Change toggles the pixel on and off Pxl On row column Pxl Off row column Pxl Change row column pxl Test pixel test retur...

Страница 157: ...you can superimpose the stored picture onto a displayed graph from the home screen or a program A picture includes drawn elements plotted functions axes and tick marks The picture does not include axe...

Страница 158: ...e from which you want to recall a picture For example if you enter 3 the TI 83 will recall the picture stored to Pic3 Note You also can select a variable from the PICTURE secondary menu 4 The variable...

Страница 159: ...itor and the selection status of each Graph style for each Y function GDBs do not contain drawn items or stat plot definitions To store a graph database follow these steps 1 Select 3 StoreGDB from the...

Страница 160: ...ed to the current cursor location 2 Enter the number from 1 to 9 or 0 of the GDB variable from which you want to recall a GDB For example if you enter 7 the TI 83 will recall the GDB stored to GDB7 No...

Страница 161: ...isko Revised 02 19 01 12 31 PM Printed 02 19 01 1 36 PM Page 1 of 6 9 Split Screen Getting Started Exploring the Unit Circle 9 2 Using Split Screen 9 3 Horiz Horizontal Split Screen 9 4 G T Graph Tabl...

Страница 162: ...rmat screen Press to select 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 v...

Страница 163: ...reen Some screens are never displayed as split screens For example if you press z in Horiz or G T mode the mode screen is displayed as a full screen If you then press a key that displays either half o...

Страница 164: ...p half of the split screen Press s or r Select a ZOOM or CALC operation To use the bottom half of the split screen Press any key or key combination that displays the home screen Press o Y editor Press...

Страница 165: ...t screen s left half in G T mode the table on the right half automatically scrolls to match the current cursor values Note When you trace in Par graphing mode both components of an equation XnT and Yn...

Страница 166: ...uction In Horiz mode row must be 4 column must be 16 In G T mode row must be 8 column must be 16 Output row column text To set Horiz or G T from a program follow these steps 1 Press z while the cursor...

Страница 167: ...01 1 36 PM Page 1 of 16 10 Matrices Getting Started Systems of Linear Equations 10 2 Defining a Matrix 10 2 Viewing and Editing Matrix Elements 10 4 Using Matrices with Expressions 10 7 Displaying and...

Страница 168: ...gular cursor indicates the current element Ellipses indicate additional columns beyond the screen 3 Press 1 to enter the first element The rectangular cursor moves to the second column of the first ro...

Страница 169: ...T menu The dimensions of any previously defined matrices are displayed 2 Select the matrix you want to define The MATRX EDIT screen is displayed The dimensions of the matrix row column are displayed o...

Страница 170: ...r portion of the matrix editor displays up to seven rows and three columns of a matrix showing the values of the elements in abbreviated form if necessary The full value of the current element which i...

Страница 171: ...and then enter or accept the dimensions Key Function or Moves the rectangular cursor within the current row or Moves the rectangular cursor within the current column on the top row moves the cursor to...

Страница 172: ...ed when you leave editing context Note You can press to restore the value at the rectangular cursor if you make a mistake 5 Press or to move to another element Key Function or Moves the edit cursor wi...

Страница 173: ...indicate the beginning of the matrix 2 Press y to indicate the beginning of a row 3 Enter a value which can be an expression for each element in the row Separate the values with commas 4 Press y to i...

Страница 174: ...follow these steps 1 Press to display the MATRX NAMES menu 2 Select the name of the matrix you want to copy 3 Press 4 Press again and select the name of the new matrix to which you want to copy the e...

Страница 175: ...ust be the same The answer is a matrix in which the elements are the sum or difference of the individual corresponding elements matrixA matrixB matrixANmatrixB To multiply two matrices together the co...

Страница 176: ...ATH NUM menu returns a matrix It rounds every element in matrix to decimals 9 If decimals is omitted the elements are rounded to 10 digits round matrix decimals Use the L1 function to invert a matrix...

Страница 177: ...eturns 1 if every comparison is true it returns 0 if any comparison is false matrixA matrixB returns 1 if at least one comparison is false it returns 0 if no comparison is false iPart integer part fPa...

Страница 178: ...Returns the row echelon form of a matrix B rref Returns the reduced row echelon form C rowSwap Swaps two rows of a matrix D row Adds two rows stores in the second row E row Multiplies the row by a num...

Страница 179: ...he new dimensions are not changed Additional created elements are zeros Matrix elements that are outside the new dimensions are deleted rows columns dim matrixname Fill stores value to every element i...

Страница 180: ...listname arguments Likewise Matr4list ignores extra matrix columns Matr4list matrix listnameA listname n Matr4list also fills a listname with elements from a specified column in matrix To fill a list...

Страница 181: ...ons You can use a row operation in an expression Row operations do not change matrix in memory You can enter all row numbers and values as expressions You can select the matrix from the MATRX NAMES me...

Страница 182: ...w addition returns a matrix It adds rowA and rowB of matrix and stores the results in rowB row matrix rowA rowB row row multiplication returns a matrix It multiplies row of matrix by value and stores...

Страница 183: ...M Printed 02 19 01 1 37 PM Page 1 of 18 11 Lists Getting Started Generating a Sequence 11 2 Naming Lists 11 3 Storing and Displaying Lists 11 4 Entering List Names 11 6 Attaching Formulas to List Name...

Страница 184: ...ck Press S E Q and then press to turn off alpha lock Press 1 to complete the list name 5 Press to generate the list and store it in SEQ1 The list is displayed on the home screen An ellipsis indicates...

Страница 185: ...Press 3 Press letter from A to Z or q to enter the first letter of the name 4 Enter zero to four letters q or numbers to complete the name 5 Press The list is displayed on the next line The list name...

Страница 186: ...entire list is converted to a list of complex numbers To convert the list to a list of real numbers display the home screen and then enter real listname listname To display the elements of a list on t...

Страница 187: ...element within the current list dimension or one element beyond listname element To delete lists from memory including L1 through L6 use the MEMORY DELETE FROM secondary menu Chapter 18 Resetting mem...

Страница 188: ...11 3 When you select a list name from the LIST NAMES menu the list name is pasted to the current cursor location The list name symbol precedes a list name when the name is pasted where non list name...

Страница 189: ...or example the first screen below shows that elements are stored to L3 and the formula L3 10 is attached to the list name ADD10 The quotation marks designate the formula to be attached to ADD10 Each e...

Страница 190: ...d select a user created list name from the LIST NAMES menu Enter a user created list name directly using page 11 16 4 Press Note The stat list editor displays a formula lock symbol next to each list n...

Страница 191: ...ot enter them directly using You can use a list to input several values for some math functions Other chapters and Appendix A specify whether a list is valid The function is evaluated for each list el...

Страница 192: ...ow to high values SortD sort descending sorts list elements from high to low values Complex lists are sorted based on magnitude modulus With one list SortA and SortD sort the elements of listname and...

Страница 193: ...im with to redimension an existing listname to dimension length from 1 to 999 The elements in the old listname that are within the new dimension are not changed Extra list elements are filled by 0 Ele...

Страница 194: ...umbers cumSum list List returns a list containing the differences between consecutive elements in list List subtracts the first element in list from the second element subtracts the second element fro...

Страница 195: ...plot follow these steps 1 Press y LIST 8 to select 8 Select from the LIST OPS menu Select is pasted to the home screen 2 Enter xlistname press enter ylistname and then press to designate list names i...

Страница 196: ...the stat plot point that you want for the right bound and then press The x values and y values of the selected points are stored in xlistname and ylistname A new stat plot of xlistname and ylistname r...

Страница 197: ...istA and listB The list elements can be real or complex numbers augment listA listB List4matr lists stored to matrix fills matrixname column by column with the elements from each list If the dimension...

Страница 198: ...a specific column from matrix 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...

Страница 199: ...in minimum and max maximum return the smallest or largest element of listA If two lists are compared it returns a list of the smaller or larger of each pair of elements in listA and listB For a comple...

Страница 200: ...You can combine sum or prod with seq to obtain upper upper Gexpression x expression x x lower x lower To evaluate G 2 N 1 from N 1 to 4 stdDev returns the standard deviation of the elements in list T...

Страница 201: ...Analyses 12 10 Using the Stat List Editor 12 11 Attaching Formulas to List Names 12 14 Detaching Formulas from List Names 12 16 Switching Stat List Editor Contexts 12 17 Stat List Editor Contexts 12...

Страница 202: ...5 1 32 1 Press z to set Func graphing mode 2 Press 5 to select 5 SetUpEditor SetUpEditor is pasted to the home screen Press This removes lists from stat list editor columns 1 through 20 and then stor...

Страница 203: ...he table on page 12 2 6 Press o to display the Y 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...

Страница 204: ...reen 11 Press y L1 y L2 Press 1 to display the VARS Y VARS FUNCTION secondary menu and then press 1 to select 1 Y1 L1 L2 and Y1 are pasted to the home screen as arguments to LinReg ax b 12 Press to ex...

Страница 205: ...column The Name prompt is displayed in the entry line and alpha lock is on 15 Press y LIST to display the LIST NAMES menu If necessary press to move the cursor onto the list name RESID 16 Press to sel...

Страница 206: ...E S I D alpha lock is on to specify Ylist RESID for plot 2 Press to select as the mark for each data point on the scatter plot 20 Press o to display the Y editor Press to move the cursor onto the sig...

Страница 207: ...ss to turn on plot 1 Press to turn off plot 2 23 Press q 9 to select 9 ZoomStat from the ZOOM menu The window variables are adjusted automatically and the original scatter plot of time versus length d...

Страница 208: ...h L1 28 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 scatter plot of the residuals The new residual plot shows th...

Страница 209: ...e screen 31 Press 20 to enter a string length of 20 cm Press to calculate the predicted time of about 0 92 seconds Based on the residual analysis we would expect the prediction of about 0 92 seconds t...

Страница 210: ...esiduals list for the given regression model The stat list editor is a table where you can store edit and view up to 20 lists that are in memory Also you can create list names from the stat list edito...

Страница 211: ...m for an unnamed column The Name prompt is displayed and alpha lock is on 2 Enter a valid list name in any of four ways Select a name from the LIST NAMES menu Chapter 11 Enter L1 L2 L3 L4 L5 or L6 fro...

Страница 212: ...y it is only removed from the stat list editor Note To delete a list name from memory use the MEMORY DELETE List selection screen Chapter 18 You can remove all user created lists from the stat list ed...

Страница 213: ...the new value When you enter the first character the current value is cleared automatically Press to move the cursor to the character before which you want to insert press y INS and then enter one or...

Страница 214: ...ame to which you want to attach the formula Note If a formula in quotation marks is displayed on the entry line then a formula is already attached to the list name To edit the formula press and then e...

Страница 215: ...the home screen until you enter at least one element to the list that the formula references All elements of a list referenced by an attached formula must be valid for the attached formula For exampl...

Страница 216: ...lock symbol disappears All list names remain Use ClrAllLists Chapter 18 All elements of all lists in memory are cleared all formulas are detached from all list names and all lock symbols disappear Al...

Страница 217: ...ed in other stat list editor columns 2 Press You are now in edit 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 an...

Страница 218: ...e default value for a new element 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 context the...

Страница 219: ...insert a name in the current column press y INS Remaining columns shift to the right one column In enter name context the Name prompt is displayed in the entry line and alpha lock is on At the Name pr...

Страница 220: ...ame SortA and SortD sort the elements in listname and update the list in memory With two or more lists SortA and SortD sort keylistname and then sort each dependlist by placing its elements in the sam...

Страница 221: ...ith one to 20 listnames removes all list names from the stat list editor and then stores listnames in the stat list editor columns in the specified order beginning in column 1 If you enter a listname...

Страница 222: ...tion describes the variable RegEQ RESID Ylistname N RegEQ Xlistname Each regression model has an optional argument regequ for which you can specify a Y variable such as Y1 Upon execution the regressio...

Страница 223: ...linearly transformed data For example for ExpReg y ab x r and r2 are computed on ln y ln a x ln b By default these values are not displayed with the results of a regression model when you execute it...

Страница 224: ...stname is specified then the default list names are L1 and L2 If you do not specify freqlist then the default is 1 occurrence of each list element For most STAT CALC menu items you can specify a list...

Страница 225: ...b to the data using the median median line resistant line technique calculating the summary points x1 y1 x2 y2 x3 and y3 Med Med displays values for a slope and b y intercept Med Med Xlistname Ylistn...

Страница 226: ...sion At least five points are required QuartReg Xlistname Ylistname freqlist regequ LinReg a bx linear regression fits the model equation y a bx to the data using a least squares fit It displays value...

Страница 227: ...uency estimates SinReg iterations Xlistname Ylistname period regequ iterations is the maximum number of times the algorithm will iterate to find a solution The value for iterations can be an integer 1...

Страница 228: ...tween the beginning and end of one complete period or cycle The illustration above and to the right graphically depicts a complete period or cycle Plot the data and trace to determine the x distance b...

Страница 229: ...ion standard deviation of x sx sx XY number of data points n n XY mean of y values w XY sum of y values Gy G sum of y2 values Gy2 G sample standard deviation of y Sy XY population standard deviation o...

Страница 230: ...tly within the program Chapter 11 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 231: ...lect 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 plots plot the data point...

Страница 232: ...efined as the difference between the third quartile Q3 and the first quartile Q1 These points are plotted individually beyond the whisker using the Mark or or you select You can trace these points whi...

Страница 233: ...first one plots at the top of the screen and the second plots in the middle When three are plotted the first one plots at the top the second in the middle and the third at the bottom NormProbPlot norm...

Страница 234: ...to plot the statistical data immediately The definition is stored whether you select On or Off 4 Select the type of plot Each type prompts for the options checked in this table Plot Type XList YList M...

Страница 235: ...ne and then press The stat plot editor for the selected plot is displayed and the selected name remains highlighted PlotsOn and PlotsOff allow you to turn on or turn off stat plots from the home scree...

Страница 236: ...sts 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 first column When you trace a box plot tracing begins at Med the median...

Страница 237: ...ram begin on a blank line in the program editor and enter data into one or more lists then follow these steps 1 Press y STAT PLOT to display the STAT PLOTS menu 2 Select the plot to define which paste...

Страница 238: ...display the STAT PLOT MARK menu This step is not necessary if you selected 3 Histogram or 5 Boxplot in step 4 Select the type of mark or or for each data point The selected mark symbol is pasted to th...

Страница 239: ...ted 02 19 01 1 38 PM Page 1 of 36 13 Inferential Statistics and Distributions Getting Started Mean Height of a Population 13 2 Inferential Stat Editors 13 6 STAT TESTS Menu 13 9 Inferential Statistics...

Страница 240: ...f 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 press y INS The Name prompt i...

Страница 241: ...late and then press The confidence interval is calculated and the TInterval results are displayed on the home screen Interpret the results The first line 159 74 173 94 shows that the 99 percent confid...

Страница 242: ...e inferential stat editor for TInterval Press to select Inpt Stats The editor changes so that you can enter summary statistics as input 8 Press 163 8 to store 163 8 to Press 7 1 to store 7 1 to Sx Pre...

Страница 243: ...w graph and shade the top 5 percent of the population 12 Press p and set the window variables to these values Xmin 145 Ymin L 02 Xres 1 Xmax 185 Ymax 08 Xscl 5 Yscl 0 13 Press y DISTR to display the D...

Страница 244: ...idence interval from the STAT TESTS menu The appropriate editor is displayed 2 Select Data or Stats input if the selection is available The appropriate editor is displayed 3 Enter real numbers list na...

Страница 245: ...the tables on pages 13 26 and 13 27 When you enter values in any inferential stat editor the TI 83 stores them in memory so that you can run many tests or intervals without having to reenter every va...

Страница 246: ...are adjusted automatically to fit the graph To select Calculate or Draw move the cursor to either Calculate or Draw and then press The instruction is immediately executed After you have entered all a...

Страница 247: ...known s s A 1 PropZInt Confidence int for 1 proportion B 2 PropZInt Confidence int for diff of 2 props C c2 Test Chi square test for 2 way tables D 2 Samp Test Test comparing 2 s s E LinRegTTest t tes...

Страница 248: ...ion standard deviation s is known It tests 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 Da...

Страница 249: ...Test one sample t test item 2 performs a hypothesis 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...

Страница 250: ...3 tests the equality of the means of two populations m1 and m2 based on independent samples when both population standard deviations s1 and s2 are known The null hypothesis H0 m1 m2 is tested against...

Страница 251: ...of the means of two populations m1 and m2 based on independent samples when neither population standard deviation s1 or s2 is known The null hypothesis H0 m1 m2 is tested against one of the alternati...

Страница 252: ...proportion z test item 5 computes a test for an unknown proportion of successes prop It takes as input the count of successes in the sample x and the count of observations in the sample n 1 PropZTest...

Страница 253: ...s a test to compare the proportion of successes p1 and p2 from two populations It takes as input the count of successes in each sample x1 and x2 and the count of observations in each sample n1 and n2...

Страница 254: ...Page 16 of 36 ZInterval one sample z confidence interval item 7 computes a confidence interval for an unknown population mean m when the population standard deviation s is known The computed confidenc...

Страница 255: ...38 PM Page 17 of 36 TInterval one sample t confidence interval item 8 computes a confidence interval for an unknown population mean m when the population standard deviation s is unknown The computed...

Страница 256: ...two sample z confidence interval item 9 computes a confidence interval for the difference between two population means m1Nm2 when both population standard deviations s1 and s2 are known The computed c...

Страница 257: ...ce interval item 0 computes a confidence interval for the difference between two population means m1Nm2 when both population standard deviations s1 and s2 are unknown The computed confidence interval...

Страница 258: ...ge 20 of 36 1 PropZInt one proportion z confidence interval item A computes a confidence interval for an unknown proportion of successes It takes as input the count of successes in the sample x and th...

Страница 259: ...portion z confidence interval item B computes a confidence interval for the difference between the proportion of successes in two populations p1Np2 It takes as input the count of successes in each sam...

Страница 260: ...is no association exists between row variables 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...

Страница 261: ...rmal population standard deviations s1 and s2 The population means and standard deviations are all unknown 2 Samp Test which uses the ratio of sample variances Sx12 Sx22 tests the null hypothesis H0 s...

Страница 262: ...d to RegEQ VARS Statistics EQ secondary menu 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 be...

Страница 263: ...way analysis of variance for comparing the means of 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...

Страница 264: ...draws a graph of the results v Sx n Summary statistics mean standard deviation and sample size for the one sample tests and intervals s1 The known population standard deviation from the first populati...

Страница 265: ...o for the 2 PropZTest and 2 PropZInt Must be an integer 0 C Level The confidence level for the interval instructions Must be 0 and 100 If it is 1 it is assumed to be given as a percent and is divided...

Страница 266: ...of x values for sample 1 and sample 2 v1 v2 v1 v2 TEST sample standard deviation of x for sample 1 and sample 2 Sx1 Sx2 Sx1 Sx2 TEST number of data points for sample 1 and sample 2 n1 n2 n1 n2 TEST po...

Страница 267: ...ity B poissonpdf Poisson probability C poissoncdf Poisson cumulative density D geometpdf Geometric probability E geometcdf Geometric cumulative density Note L1 99 and 1 99 specify infinity If you want...

Страница 268: ...ribution function for a given area under the normal distribution curve specified by mean m and standard deviation s It calculates the x value associated with an area to the left of the x value 0 area...

Страница 269: ...tes the probability density function pdf for the c2 chi square distribution at a specified x value df degrees of freedom must be an integer 0 To plot the c2 distribution paste c2pdf to the Y editor Th...

Страница 270: ...distribution paste pdf to the Y editor The probability density function pdf is f x n d n d n d x nx d x n n n d 2 2 2 1 0 2 2 1 2 where n numerator degrees of freedom d denominator degrees of freedom...

Страница 271: ...unction pdf is f x n x p p x n x n x 1 0 1 where n numtrials binompdf numtrials p x binomcdf computes a cumulative probability at x for the discrete binomial distribution with the specified numtrials...

Страница 272: ...robability at x the number of the trial on which the first success occurs for the discrete geometric distribution with the specified probability of success p 0 p 1 must be true x can be an integer or...

Страница 273: ...truction you must set the window variables so that the desired distribution fits the screen DISTR DRAW 1 ShadeNorm Shades normal distribution 2 Shade_t Shades Student t distribution 3 Shadec2 Shades c...

Страница 274: ...in L3 Xmax 3 Ymin L 15 Ymax 5 Shadec2 draws the density function for the c2 chi square distribution specified by df degrees of freedom and shades the area between lowerbound and upperbound Shadec2 low...

Страница 275: ...g Started Financing a Car 14 2 Getting Started Computing Compound Interest 14 3 Using the TVM Solver 14 4 Using the Financial Functions 14 5 Calculating Time Value of Money TVM 14 6 Calculating Cash F...

Страница 276: ...splay all numbers with two decimal places 2 Press y FINANCE to display the FINANCE CALC menu 3 Press to select 1 TVM Solver The TVM Solver is displayed Press 48 to store 48 months to Press 9000 to sto...

Страница 277: ...Y must be set to 1 1 Press y FINANCE to display the FINANCE CALC menu 2 Press to select 1 TVM Solver Press 7 to enter the number of periods in years Press 1250 to enter the present value as a cash out...

Страница 278: ...unknown TVM variable follow these steps 1 Press y FINANCE to display the TVM Solver The screen below shows the default values with the fixed decimal mode set to two decimal places 2 Enter the known v...

Страница 279: ...he present value 5 tvm_ Computes the number of payment periods 6 tvm_FV Computes the future value 7 npv Computes the net present value 8 irr Computes the internal rate of return 9 bal Computes the amo...

Страница 280: ...M Solver page 14 4 or use and any TVM variable on the FINANCE VARS menu page 14 14 If you enter less than six arguments the TI 83 substitutes a previously stored TVM variable value for each unspecifie...

Страница 281: ...M Printed 02 19 01 1 38 PM Page 7 of 14 tvm_ computes the annual interest rate tvm_ PV PMT FV P Y C Y tvm_PV computes the present value tvm_PV PMT FV P Y C Y tvm_ computes the number of payment period...

Страница 282: ...ial cash flow CF0 CFFreq is a list in which each element specifies the frequency of occurrence for a grouped consecutive cash flow amount which is the corresponding element of CFList The default is 1...

Страница 283: ...on 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 integers 10 000 roundvalue specifies the internal pre...

Страница 284: ...graphing mode 2 Press y FINANCE to display the TVM Solver 3 Press 360 to enter number of payments Press 8 to enter the interest rate Press 800 to enter the payment amount Press 0 to enter the future v...

Страница 285: ...000 7 Press r to draw the graph and activate the trace cursor Press and to explore the graph of the outstanding balance over time Press a number and then press to view the balance at a specific time T...

Страница 286: ...4Nom or from a nominal rate to an annual effective rate 4Eff 4Nom computes the nominal interest rate effective rate and compounding periods must be real numbers compounding periods must be 0 4Nom eff...

Страница 287: ...entiates the date formats Pmt_End and Pmt_Bgn menu items E and F specify a transaction as an ordinary annuity or an annuity due When you execute either command the TVM Solver is updated Pmt_End paymen...

Страница 288: ...of compounding periods year PV PMT and FV are the five TVM variables They represent the elements of common financial transactions as described in the table above is an annual interest rate that is con...

Страница 289: ...02 19 01 12 54 PM Printed 02 19 01 1 39 PM Page 1 of 10 15 CATALOG Strings Hyperbolic Functions Browsing the TI 83 CATALOG 15 2 Entering and Using Strings 15 3 Storing Strings to String Variables 15 4...

Страница 290: ...ect a CATALOG item follow these steps 1 Press y CATALOG to display the CATALOG The 4 in the first column is the selection cursor 2 Press or to scroll the CATALOG until the selection cursor points to t...

Страница 291: ...instruction or function name as one character To enter a string on a blank line on the home screen or in a program follow these steps 1 Press to indicate the beginning of the string 2 Enter the chara...

Страница 292: ...Page 4 of 10 The TI 83 has 10 variables to which you can store strings You can use string variables with string functions and instructions To display the VARS STRING menu follow these steps 1 Press to...

Страница 293: ...from Str1 to Str9 or Str0 to which you want to store the string The string variable is pasted to the current cursor location next to the store symbol 5 Press to store the string to the string variabl...

Страница 294: ...ring Returns a character s place number length Returns a string s character length String4Equ Converts a string to an equation sub Returns a string subset as a string To concatenate two or more string...

Страница 295: ...stored as a string Equ4String Yn Strn expr converts the character string contained in string to an expression and executes it string can be a string or a string variable expr string inString returns...

Страница 296: ...urns the number of characters in string string can be a string or string variable Note An instruction or function name such as sin or cos counts as one character length string String4Equ converts stri...

Страница 297: ...string can be a string or a string variable begin is the position number of the first character of the subset length is the number of characters in the subset sub string begin length In a program you...

Страница 298: ...ems CATALOG cosh Hyperbolic cosine coshL1 Hyperbolic arccosine sinh Hyperbolic sine sinhL1 Hyperbolic arcsine tanh Hyperbolic tangent tanhL1 Hyperbolic arctangent sinh cosh and tanh are the hyperbolic...

Страница 299: ...22 16 Programming Getting Started Volume of a Cylinder 16 2 Creating and Deleting Programs 16 4 Entering Command Lines and Executing Programs 16 5 Editing Programs 16 6 Copying and Renaming Programs 1...

Страница 300: ...then computes its volume 1 Press to display the PRGM NEW menu 2 Press to select 1 Create New The Name prompt is displayed and alpha lock is on Press C Y L I N D E R and then press to name the program...

Страница 301: ...e of V on the next 6 Press y QUIT to display the home screen 7 Press to display the PRGM EXEC menu The items on this menu are the names of stored programs 8 Press to paste prgmCYLINDER to the current...

Страница 302: ...ram name can be one to eight characters long The first character must be a letter from A to Z or q The second through eighth characters can be letters numbers or q 4 Enter zero to seven letters number...

Страница 303: ...nd strings saved in memory If a program stores a new value to a variable list matrix or string the program changes the value in memory during execution You can call another program as a subroutine pag...

Страница 304: ...ite or insert Press to clear all program commands on the command line the leading colon remains and then enter a new program command Tip To move the cursor to the beginning of a command line press y t...

Страница 305: ...u can create a template for groups of instructions that you use frequently You can rename a program by copying its contents into a new program Note You also can copy all the command lines from one exi...

Страница 306: ...anches D prgm Executes a program as a subroutine E Return Returns from a subroutine F Stop Stops execution G DelVar Deletes a variable from within program H GraphStyle Designates the graph style to be...

Страница 307: ...command immediately following If is skipped If condition is true nonzero then the next command is executed If instructions can be nested If condition command if true command Program Output Then follow...

Страница 308: ...nd if true command if true Else command if false command if false End command Program Output For loops and increments It increments variable from begin to end by increment increment is optional defaul...

Страница 309: ...f the group When condition is false zero the program executes each command following End While instructions can be nested While condition command while condition is true command while condition is tru...

Страница 310: ...ion at the end of each If Then group and each If Then Else group Pause suspends execution of the program so that you can see answers or graphs During the pause the pause indicator is on in the top rig...

Страница 311: ...through Z 0 through 99 or q Lbl label Goto causes the program to branch to label when Goto is encountered Goto label Program Output IS increment and skip adds 1 to variable If the answer is value whic...

Страница 312: ...branching within a program If Menu is encountered during program execution the menu screen is displayed with the specified menu items the pause indicator is on and execution pauses until you select a...

Страница 313: ...oops are ended An implied Return exists at the end of any program that is called as a subroutine Within the main program Return stops execution and returns to the home screen Stop stops execution of a...

Страница 314: ...r a keystroke 8 ClrHome Clears the display 9 ClrTable Clears the current table 0 GetCalc Gets a variable from another TI 83 A Get Gets a variable from CBL 2 CBL or CBR B Send Sends a variable to CBL 2...

Страница 315: ...luated and stored to variable and the program resumes execution Input variable You can display text or the contents of Strn a string variable of up to 16 characters as a prompt During program executio...

Страница 316: ...a Pause instruction Disp Disp with one or more values displays the value of each Disp valueA valueB valueC value n If value is a variable the current value is displayed If value is an expression it is...

Страница 317: ...y so you can examine the screen Press to resume execution Output displays text or value on the current home screen beginning at row 1 through 8 and column 1 through 16 overwriting any existing charact...

Страница 318: ...been pressed getKey returns 0 Use getKey inside loops to transfer control for example when creating video games Program Output Note and were pressed during program execution Note You can press at any...

Страница 319: ...variable can be a real number list element list name matrix element matrix name string Y variable graph database or picture Get variable Note If you transfer a program that references the Get command...

Страница 320: ...e program name page 16 15 prgmname When prgmname is encountered during execution the next command that the program executes is the first command in the second program It returns to the subsequent comm...

Страница 321: ...of Nonlinear Equations 17 6 Using a Program to Create the Sierpinski Triangle 17 7 Graphing Cobweb Attractors 17 8 Using a Program to Guess the Coefficients 17 9 Graphing the Unit Circle and Trigonom...

Страница 322: ...are visually the correct guess data from this table Correct Guesses Women Left Women Right Men Left Men Right 8 4 7 12 9 1 8 6 12 8 7 12 11 12 5 12 10 11 7 7 8 11 8 11 12 13 11 12 7 12 4 8 9 11 10 12...

Страница 323: ...MLEFT redefine plot 2 to use MRGHT Press r Men s left hand data Men s right hand data Press and to examine minX Q1 Med Q3 and maxX for each plot What difference do you see between the plots 10 Compare...

Страница 324: ...5 65 X 1 Press z Select Func and the default settings 2 Press o Turn off all functions and stat plots Enter the Y function to describe the fine Use the TEST menu operations to define the piecewise fun...

Страница 325: ...o dot in the Y editor 2 Press o Turn off all functions and stat plots Enter the left side of the inequality as Y4 and the right side as Y5 3 Enter the statement of the inequality as Y6 This function e...

Страница 326: ...the free moving cursor onto the apparent intersection of the functions on the right side of the display As you move the cursor notice that the X and Y values have one decimal place 5 Press to zoom in...

Страница 327: ...SIERPINS FnOff ClrDraw PlotsOff AxesOff 0 Xmin 1 Xmax 0 Ymin 1 Ymax Set viewing window rand X rand Y For K 1 3000 rand N Beginning of For group If N 1 3 Then 5X X 5Y Y End If Then group If 1 3 N and N...

Страница 328: ...all stat plots Enter the sequence that corresponds to the expression Y K X 1NX u n Ku nN1 1Nu nN1 u nMin 01 3 Press y QUIT to return to the home screen and then store 2 9 to K 4 Press p Set the window...

Страница 329: ...n DX Y2 Define equations GraphStyle 1 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...

Страница 330: ...the default settings 2 Press p Set the viewing window Tmin 0 Xmin L2 Ymin L3 Tmax 2p Xmax 7 4 Ymax 3 Tstep 1 Xscl p 2 Yscl 1 3 Press o Turn off all functions and stat plots Enter the expressions to de...

Страница 331: ...X2 625 Y2 3cos 1X 4 Press y CALC 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 dis...

Страница 332: ...at the same height as the bottom of the ferris wheel 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 angl...

Страница 333: ...rtion of the graph Tmin 1 Xmin 0 Ymin 10 Tmax 3 Xmax 23 5 Ymax 25 5 Tstep 03 Xscl 10 Yscl 10 6 Press r After the graph is plotted press to move near the point on the ferris wheel where the paths cross...

Страница 334: ...01 Ymin M1 5 Xres 3 Xmax 10 Ymax 2 5 Xscl 1 Yscl 1 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 l...

Страница 335: ...off all functions and stat plots Use a list to define these three functions simultaneously Store the function in Y5 2 Press q 6 to select 6 ZStandard 3 Press r Notice that the functions appear identic...

Страница 336: ...on editor or the interactive solver editor is displayed If the interactive solver editor is displayed press to display the equation editor 2 Enter the formula as 0 ANNB2sin p N cos p N and then press...

Страница 337: ...visually how the area changes as the number of sides gets large 8 Press z Select the default mode settings 9 Press p Set the viewing window Xmin 0 Ymin 0 Xres 1 Xmax 200 Ymax 150 Xscl 10 Yscl 10 10 Pr...

Страница 338: ...ars from now 1 Press z and set the fixed decimal mode to 2 decimal places Set the other mode settings to the defaults 2 Press y FINANCE 1 to display the TVM Solver Enter these values Note Enter a posi...

Страница 339: ...s and set the graph styles as shown Note GPrn and GInt are located on the FINANCE CALC menu 6 Press p Set these window variables Tmin 1 Xmin 0 Ymin 0 Tmax 360 Xmax 360 Ymax 1000 Tstep 12 Xscl 10 Yscl...

Страница 340: ...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 97 9 Press y QUIT y FINANCE 9 t...

Страница 341: ...tional English Bob Fedorisko Revised 02 19 01 1 01 PM Printed 02 19 01 1 40 PM Page 1 of 6 18 Memory Management Checking Available Memory 18 2 Deleting Items from Memory 18 3 Clearing Entries and List...

Страница 342: ...he amount of memory each variable type is using You can check this screen to see whether you need to delete variables from memory to make room for new data such as programs To check RAM usage follow t...

Страница 343: ...for a list of all variables of all types A screen is displayed listing each variable of the type you selected and the number of bytes each variable is using For example if you select 4 List the DELETE...

Страница 344: ...is pasted to the program editor and the Entry last entry is cleared when the program is executed ClrAllLists sets to 0 the dimension of each list in memory To clear all elements from all lists follow...

Страница 345: ...reset all memory consider restoring sufficient available memory by deleting only selected data page 18 3 To reset all memory on the TI 83 follow these steps 1 Press y MEM to display the MEMORY menu 2...

Страница 346: ...variable values such as Xmin L10 Xmax 10 Xscl 1 Yscl 1 and Xres 1 Stat plots off Format settings such as CoordOn graphing coordinates on AxesOn and ExprOn expression on rand seed value to 0 To reset...

Страница 347: ...M Printed 02 19 01 1 40 PM Page 1 of 10 19 Communication Link Getting Started Sending Variables 19 2 TI 83 LINK 19 3 Selecting Items to Send 19 4 Receiving Items 19 5 Transmitting Items 19 6 Transmitt...

Страница 348: ...o display the RECEIVE menu Press 1 to select 1 Receive The message Waiting is displayed and the busy indicator is on 5 On the sending unit press y LINK to display the SEND menu 6 Press 2 to select 2 A...

Страница 349: ...lists L1 through L6 The software that enables this communication is built into the TI 83 To transmit data from a TI 82 to a TI 83 follow the steps on pages 19 6 and 19 7 You cannot perform a memory ba...

Страница 350: ...Displays all Y variables B String Displays all string variables C Back Up Selects all for backup to TI 83 When you select an item on the LINK SEND menu the corresponding SELECT screen is displayed No...

Страница 351: ...uplicateName 1 Rename Prompts to rename receiving variable 2 Overwrite Overwrites data in receiving variable 3 Omit Skips transmission of sending variable 4 Quit Stops transmission at duplicate variab...

Страница 352: ...played on both calculators Press and to scroll through the names To stop a link transmission press The Error in Xmit menu is displayed on both units To leave the error menu select 1 Quit A transmissio...

Страница 353: ...3 to receive page 19 5 2 Do not select or deselect any new items to send If you select or deselect an item all selections or deselections from the previous transmission are cleared 3 Disconnect the li...

Страница 354: ...steps 1 Set the TI 82 to receive page 19 5 2 Press y LINK 5 on the sending TI 83 to select 5 Lists to TI82 The SELECT screen is displayed 3 Select each list to transmit 4 Press to display the LINK TRA...

Страница 355: ...u transmit to account for these differences or the TI 83 will misinterpret the data The TI 83 reinterprets TI 82 prefix functions to include open parentheses which may add extraneous parentheses to tr...

Страница 356: ...t Note If you do not want to do a backup select 2 Quit to return to the LINK SEND menu Select 1 Transmit to begin transmission As a safety check to prevent accidental loss of memory the message WARNIN...

Страница 357: ...national English Bob Fedorisko Revised 02 19 01 1 25 PM Printed 02 19 01 1 40 PM Page 1 of 58 A Tables and Reference Information Table of Functions and Instructions A 2 TI 83 Menu Map A 39 Variables A...

Страница 358: ...pear in the CATALOG indicates keystrokes that are valid in the program editor only Some keystrokes display menus that are available only in the program editor Others paste mode format or table set ins...

Страница 359: ...ar complex number mode a bi z a bi 1 12 bal npmt roundvalue Computes the balance at npmt for an amortization schedule using stored values for PV and PMT and rounds the computation to roundvalue y FINA...

Страница 360: ...Draws a circle with center X Y and radius y DRAW DRAW 9 Circle 8 11 Clear Entries Clears the contents of the Last Entry storage area y MEM MEMORY 3 Clear Entries 18 4 ClrAllLists Sets to 0 the dimensi...

Страница 361: ...s hyperbolic arccosine of a real number expression or list y CATALOG coshL1 15 10 CubicReg Xlistname Ylistname freqlist regequ Fits a cubic regression model to Xlistname and Ylistname with frequency f...

Страница 362: ...erminant of matrix MATH 1 det 10 12 DiagnosticOff Sets diagnostics off mode r r2 and R2 are not displayed as regression model results y CATALOG DiagnosticOff 12 23 DiagnosticOn Sets diagnostics on mod...

Страница 363: ...y DRAW DRAW 6 DrawF 8 9 DrawInv expression Draws the inverse of expression by plotting X values on the y axis and Y values on the x axis y DRAW DRAW 8 DrawInv 8 9 DS variable value commandA commands...

Страница 364: ...ntial regression model to Xlistname and Ylistname with frequency freqlist and stores the regression equation to regequ CALC 0 ExpReg 12 26 ExprOff Turns off the expression display during TRACE y FORMA...

Страница 365: ...Returns the function integral of expression with respect to variable between lower and upper with specified tolerance MATH 9 fnInt 2 7 FnOff function function function n Deselects all Y functions or...

Страница 366: ...cumulative probability at x the number of the trial on which the first success occurs for the discrete geometric distribution with the specified probability of success p y DISTR DISTR E geometcdf 13 3...

Страница 367: ...horizontal split screen mode z Horiz 1 12 Horizontal y Draws a horizontal line at y y DRAW DRAW 3 Horizontal 8 6 identity dimension Returns the identity matrix of dimension rows dimension columns MAT...

Страница 368: ...and stores entered value to variable I O 1 Input 16 17 inString string substring start Returns the character position in string of the first character of substring beginning at start y CATALOG inStri...

Страница 369: ...ariable value CTL A IS 16 13 listname Identifies the next one to five characters as a user created list name y LIST OPS B 11 16 LabelOff Turns off axes labels y FORMAT LabelOff 3 14 LabelOn Turns on a...

Страница 370: ...12 25 LinRegTTest Xlistname Ylistname freqlist alternative regequ Performs a linear regression and a t test alternative L1 is alternative 0 is alternative 1 is TESTS E LinRegTTest 13 24 List list Ret...

Страница 371: ...16 max valueA valueB Returns the larger of valueA and valueB NUM 7 max 2 15 max list Returns largest real or complex element in list y LIST MATH 2 max 11 16 max listA listB Returns a real or complex...

Страница 372: ...element y LIST MATH 1 min 11 16 valueA nCr valueB Returns the number of combinations of valueA taken valueB at a time PRB 3 nCr 2 21 value nCr list Returns a list of the combinations of value taken e...

Страница 373: ...lue is 0 value can be a real number expression or list y TEST LOGIC 4 not 2 26 valueA nPr valueB Returns the number of permutations of valueA taken valueB at a time PRB 2 nPr 2 21 value nPr list Retur...

Страница 374: ...e Scatter or xyLine for Xlistname and Ylistname using mark y STAT PLOT PLOTS 1 Plot1 2 Plot2 3 Plot3 12 37 Plot type Xlistname freqlist Defines Plot 1 2 or 3 of type Histogram or Boxplot for Xlistname...

Страница 375: ...DISTR DISTR C poissoncdf 13 34 poissonpdf m x Computes a probability at x for the discrete Poisson distribution with the specified mean m y DISTR DISTR B poissonpdf 13 33 Polar Sets polar graphing mo...

Страница 376: ...s alternative 0 is alternative 1 is drawflag 1 draws results drawflag 0 calculates results TESTS 5 1 PropZTest 13 14 2 PropZTest x1 n1 x2 n2 alternative drawflag Computes a two proportion z test alter...

Страница 377: ...ven polar coordinates r and q or a list of polar coordinates y ANGLE ANGLE 7 P4Rx 2 24 P4Ry r q Returns Y given polar coordinates r and q or a list of polar coordinates y ANGLE ANGLE 8 P4Ry 2 24 QuadR...

Страница 378: ...d Normal distribution specified by m and s for a specified number of trials numtrials PRB 6 randNorm 2 22 re qi Sets the mode to polar complex number mode re qi z re qi 1 12 Real Sets mode to display...

Страница 379: ...row of matrix multiplied by value and stored in row MATH E row 10 16 row matrix rowA rowB Returns a matrix with rowA of matrix added to rowB and stored in rowB MATH D row 10 16 row value matrix rowA...

Страница 380: ...is drawflag 1 draws results drawflag 0 calculates results TESTS D 2 Samp Test 13 23 2 SampTInt listname1 listname2 freqlist1 freqlist2 confidence level pooled Data list input Computes a two sample t...

Страница 381: ...SampZInt s1 s2 v1 n1 v2 n2 confidence level Summary stats input Computes a two sample z confidence interval TESTS 9 2 SampZInt 13 18 2 SampZTest s1 s2 listname1 listname2 freqlist1 freqlist2 alternati...

Страница 382: ...etUpEditor Removes all list names from the stat list editor and then restores list names L1 through L6 to columns 1 through 6 EDIT 5 SetUpEditor 12 21 SetUpEditor listname1 listname2 listname20 Remove...

Страница 383: ...on specified by m and s and shades the area between lowerbound and upperbound y DISTR DRAW 1 ShadeNorm 13 35 Shade_t lowerbound upperbound df Draws the density function for the Student t distribution...

Страница 384: ...rts elements of listname in ascending order y LIST OPS 11 10 1 SortA 12 20 SortA keylistname dependlist1 dependlist2 dependlist n Sorts elements of keylistname in ascending order then sorts each depen...

Страница 385: ...T MATH 5 sum 11 18 tan value Returns the tangent of a real number expression or list 2 3 tanL1 value Returns the arctangent of a real number expression or list y TANL1 2 3 Tangent expression value Dra...

Страница 386: ...TS 8 TInterval 13 17 tpdf x df Computes the probability density function pdf for the Student t distribution at a specified x value with specified degrees of freedom df y DISTR DISTR 4 tpdf 13 30 Trace...

Страница 387: ...4 tvm_PV 14 7 uvAxes Sets sequence graphs to plot u n on the x axis and v n on the y axis y FORMAT uv 6 8 uwAxes Sets sequence graphs to plot u n on the x axis and w n on the y axis y FORMAT uw 6 8 1...

Страница 388: ...dow and updates the window q ZOOM 1 ZBox 3 20 ZDecimal Adjusts the viewing window so that X 0 1 and Y 0 1 and displays the graph screen with the origin centered on the screen q ZOOM 4 ZDecimal 3 21 ZI...

Страница 389: ...dow q MEMORY 3 ZoomRcl 3 23 ZoomStat Redefines the viewing window so that all statistical data points are displayed q ZOOM 9 ZoomStat 3 22 ZoomSto Immediately stores the current viewing window q MEMOR...

Страница 390: ...input Performs a z test alternative L1 is alternative 0 is alternative 1 is drawflag 1 draws results drawflag 0 calculates results TESTS 1 Z Test 13 10 ZTrig Replots the functions immediately updating...

Страница 391: ...r complex number expression list or square matrix MATH 3 3 2 6 10 10 Cube root 3 value Returns the cube root of a real or complex number expression or list MATH 4 3 2 6 Equal valueA valueB Returns 1 i...

Страница 392: ...han or equal 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 TEST 4 2 25 Inverse valueL1 Returns 1 divi...

Страница 393: ...t power y 10x 2 4 Square root value Returns square root of a real or complex number expression or list y 2 3 Multiplication valueA valueB Returns valueA times valueB 2 3 Multiplication value list Retu...

Страница 394: ...eturns matrixA elements plus matrixB elements 10 9 Concatenation string1 string2 Concatenates two or more strings 15 6 Subtraction valueANvalueB Subtracts valueB from valueA 2 3 Subtraction valueNlist...

Страница 395: ...LOTS 1 Plot1 Off L1 L2 2 Plot2 Off L1 L2 3 Plot3 Off L1 L2 4 PlotsOff 5 PlotsOn PRGM editor PLOTS 1 Plot1 2 Plot2 3 Plot3 4 PlotsOff 5 PlotsOn PRGM editor TYPE 1 Scatter 2 xyLine 3 Histogram 4 ModBoxp...

Страница 396: ...T Func Par Pol modes RectGC PolarGC CoordOn CoordOff GridOff GridOn AxesOn AxesOff LabelOff LabelOn ExprOn ExprOff Seq mode Time Web uv vw uw RectGC PolarGC CoordOn CoordOff GridOff GridOn AxesOn Axes...

Страница 397: ...A Y Vars B String C Back Up RECEIVE 1 Receive EDIT 1 Edit 2 SortA 3 SortD 4 ClrList 5 SetUpEditor CALC 1 1 Var Stats 2 2 Var Stats 3 Med Med 4 LinReg ax b 5 QuadReg 6 CubicReg 7 QuartReg 8 LinReg a b...

Страница 398: ...5 seq 6 cumSum 7 List 8 Select 9 augment 0 List4matr A Matr4list B MATH 1 min 2 max 3 mean 4 median 5 sum 6 prod 7 stdDev 8 variance MATH 1 4Frac 2 4Dec 3 3 4 3 5 x 6 fMin 7 fMax 8 nDeriv 9 fnInt 0 S...

Страница 399: ...Sum A ref B rref C rowSwap D row E row F row EDIT 1 A 2 B 3 C 4 D 5 E 6 F 7 G 8 H 9 I 0 J ANGLE 1 2 3 r 4 4DMS 5 R4Pr 6 R4Pq 7 P4Rx 8 P4Ry EXEC 1 name 2 name EDIT 1 name 2 name NEW 1 Create New PRGM e...

Страница 400: ...n POINTS 1 Pt On 2 Pt Off 3 Pt Change 4 Pxl On 5 Pxl Off 6 Pxl Change 7 pxl Test STO 1 StorePic 2 RecallPic 3 StoreGDB 4 RecallGDB VARS 1 Window 2 Zoom 3 GDB 4 Picture 5 Statistics 6 Table 7 String Y...

Страница 401: ...Min 2 Zv nMin 3 Zw nMin 4 ZnMin 5 ZnMax 6 ZPlotStart 7 ZPlotStep VARS GDB GRAPH DATABASE 1 GDB1 2 GDB2 9 GDB9 0 GDB0 Picture PICTURE 1 Pic1 2 Pic2 9 Pic9 0 Pic0 VARS Statistics XY 1 n 2 v 3 Sx 4 sx 5...

Страница 402: ...nted 02 19 01 1 40 PM Page 46 of 58 VARS Table TABLE 1 TblStart 2 Tbl 3 TblInput String STRING 1 Str1 2 Str2 3 Str3 4 Str4 9 Str9 0 Str0 Y VARS Function FUNCTION 1 Y1 2 Y2 3 Y3 4 Y4 9 Y9 0 Y0 Parametr...

Страница 403: ...normalpdf 2 normalcdf 3 invNorm 4 tpdf 5 tcdf 6 c2 pdf 7 c2 cdf 8 pdf 9 cdf 0 binompdf A binomcdf B poissonpdf C poissoncdf D geometpdf E geometcdf DRAW 1 ShadeNorm 2 Shade_t 3 Shadec2 4 Shade y FINA...

Страница 404: ...FREE 27225 Real 15 Complex 0 List 0 Matrix 0 Y Vars 240 Prgm 14 Pic 0 GDB 0 String 0 Delete DELETE FROM 1 All 2 Real 3 Complex 4 List 5 Matrix 6 Y Vars 7 Prgm 8 Pic 9 GDB 0 String Reset RESET 1 All Me...

Страница 405: ...DB0 are restricted to graph databases you cannot store another type of data to them The variables Str1 through Str9 and Str0 are restricted to strings you cannot store another type of data to them You...

Страница 406: ...e residual errors where x the independent variable list y the dependent variable list N the dimension of the lists This technique attempts to estimate the constants a b and c recursively to make J as...

Страница 407: ...S Factor SS Factor df Error MS Error SS Error df The sum of squares SS that make up the mean squares are Factor SS n x x i i i I 2 1 Error SS n Sx i i i I 1 2 1 The degrees of freedom df that make up...

Страница 408: ...es of freedom df n1 1 and n2 1 p reported p value 2 Samp Test for the alternative hypothesis s1 s2 p f x n n dx F 1 2 1 1 2 Samp Test for the alternative hypothesis s1 s2 p f x n n dx F 1 2 0 1 1 2 Sa...

Страница 409: ...pTTest The two sample t statistic with degrees of freedom df is t x x S 1 2 where the computation of S and df are dependent on whether the variances are pooled If the variances are not pooled S Sx n S...

Страница 410: ...d days between dates i e y x ln 1 1 where PMT 0 y C Y P Y x 01 I C Y C Y compounding periods per year P Y payment periods per year I interest rate per year i FV PV N 1 1 where PMT 0 The iteration used...

Страница 411: ...glish Bob Fedorisko Revised 02 19 01 1 25 PM Printed 02 19 01 1 40 PM Page 55 of 58 PMT i G PV PV FV i i N 1 1 where i 0 PMT PV FV N where i 0 PV PMT G i FV i PMT G i i N i 1 1 where i 0 PV FV PMT N w...

Страница 412: ...t2 npmt Let bal 0 RND PV Iterate from m 1 to pmt2 I I m m RND RND i bal m bal m bal m RND PMT 12 1 1 then bal bal pmt 2 Prn bal pmt bal pmt 2 1 Int pmt pmt RND PMT n 2 1 1 Pr where RND round the displ...

Страница 413: ...the values of the initial cash flow CF0 subsequent cash flows CFj frequency of each cash flow nj and the specified interest rate i irr 100 i where i satisfies npv 0 Internal rate of return is depende...

Страница 414: ...es actual number of days per month and actual number of days per year dbd days between dates Number of Days II Number of Days I Number of Days I Y1 YB 365 number of days MB to M1 DT1 Y YB 1 4 Number o...

Страница 415: ...Bob Fedorisko Revised 02 19 01 1 12 PM Printed 02 19 01 1 41 PM Page 1 of 14 B General Information Battery Information B 2 In Case of Difficulty B 4 Error Conditions B 5 Accuracy Information B 10 Supp...

Страница 416: ...t replace the batteries within about two weeks the calculator may turn off by itself or fail to turn on until you install new batteries Replace the lithium battery every three or four years Do not rem...

Страница 417: ...usly 3 Replace all four AAA alkaline batteries at the same time Or replace the lithium battery To replace the AAA alkaline batteries remove all four discharged AAA batteries and install new ones accor...

Страница 418: ...d follow the steps in Chapter 1 Refer to pages B 5 through B 9 for details about specific errors if necessary 3 If a checkerboard cursor is displayed then either you have entered the maximum number of...

Страница 419: ...If the equation has a solution change the bounds and or the initial guess BOUND In a CALC operation or with Select you defined Left Bound Right Bound In fMin fMax solve or the equation solver you ent...

Страница 420: ...n receive mode You pressed to break during transmission You attempted to perform a backup from a TI 82 to a TI 83 You attempted to transfer data other than L1 through L6 from a TI 83 to a TI 82 You at...

Страница 421: ...specified a matrix dimension as something other than an integer between 1 and 99 You attempted to invert a matrix that is not square ITERATIONS The solve function or the equation solver has exceeded t...

Страница 422: ...he equation solver did not detect a sign change You attempted to compute when FV PMT and PV are all 0 or when FV PMT and PV are all 0 You attempted to compute irr when neither CFList nor CFO is 0 or w...

Страница 423: ...urned on SYNTAX The command contains a syntax error Look for misplaced functions arguments parentheses or commas See Appendix A and the appropriate chapter TOL NOT MET You requested a tolerance to whi...

Страница 424: ...most pixel is reserved for the busy indicator X is the distance between the centers of two adjacent pixels In Full screen mode X is calculated as Xmax N Xmin 94 In G T split screen mode X is calculate...

Страница 425: ...may not be accurate to all eight displayed digits For most 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 specifie...

Страница 426: ...Rico and the Virgin Islands Contact TI by e mail or visit the TI calculator home page on the World Wide Web e mail ti cares ti com Internet education ti com Product Service Customers in the U S and C...

Страница 427: ...T OR OTHER INCIDENTAL OR CONSEQUENTIAL COSTS EXPENSES OR DAMAGES INCURRED BY THE CONSUMER OR ANY OTHER USER Some states provinces do not allow the exclusion or limitation of implied warranties or cons...

Страница 428: ...y other user Some jurisdictions do not allow the exclusion or limitation of implied warranties or consequential damages so the above limitations or exclusions may not apply to you Legal Remedies This...

Страница 429: ...r 2 3 A 36 A 37 10 power of ten 2 4 A 37 x root 2 6 A 35 seconds notation 2 23 A 38 2 square 2 3 A 36 square root 2 3 A 37 Store 1 14 A 28 string indicator 15 3 N subtraction 2 3 A 38 A a bi rectangul...

Страница 430: ...reen 16 20 A 4 ClrList clear list 12 20 A 4 ClrTable clear table 16 20 A 4 coefficients of determination r2 R2 12 23 colon separator 6 16 5 combinations nCr 2 21 A 16 C continued complex modes a bi re...

Страница 431: ...cal derivative det determinant 10 12 A 6 determinant det 10 12 A 6 DiagnosticOff 12 23 A 6 DiagnosticOn 12 23 A 6 diagnostics display mode r r2 R2 12 23 differentiation 2 8 3 28 4 8 5 6 D continued di...

Страница 432: ...rating System 1 22 eqn equation variable 2 8 2 12 equal to relational test 2 25 A 35 Equation Operating System EOS 1 22 Equation Solver 2 8 equations with multiple roots 2 12 E continued Equ4String eq...

Страница 433: ...4 9 cash flows 14 8 days between dates 14 13 interest rate conversions 14 12 payment method 14 13 time value of money TVM 14 6 F continued Fix fixed decimal mode 1 10 A 8 fixed decimal mode Fix 1 10 A...

Страница 434: ...or CBR 16 21 A 10 GetCalc get data from TI 83 16 21 A 10 getKey 16 20 A 10 Getting Started 1 to 18 See also examples Getting Started Goto 16 13 A 10 G continued graph database GDB 8 19 graphing modes...

Страница 435: ...inverse L1 2 3 8 9 10 10 A 36 inverse cumulative normal distribution invNorm 13 30 A 12 inverse trig functions 2 3 invNorm inverse cumulative normal distribution 13 30 A 12 iPart integer part 2 14 10...

Страница 436: ...6 accessing elements 10 8 copying 10 8 defined 10 3 deleting from memory 10 4 dimensions 10 3 10 12 10 13 displaying a matrix 10 8 displaying matrix elements 10 4 editing matrix elements 10 6 M contin...

Страница 437: ...rest rate 14 12 A 16 nonrecursive sequences 6 5 normal distribution probability normalcdf 13 30 A 17 Normal notation mode 1 10 A 16 normal probability plot type 12 33 N continued normalcdf normal dist...

Страница 438: ...Pol Polar 1 9 1 11 5 3 A 19 tracing 5 6 window variables 5 4 Y editor 5 3 ZOOM operations 5 6 PolarGC polar graphing coordinates 3 13 A 19 P continued pooled option 13 6 13 8 power 2 3 A 36 A 37 powe...

Страница 439: ...ic 8 18 A 22 4Rect to rectangular 2 19 A 22 rectangular form complex numbers 2 17 RectGC rectangular graphing coordinates 3 13 A 22 recursive sequences 6 6 ref row echelon form 10 15 A 22 R continued...

Страница 440: ...ph styles 3 9 graph styles from a program 3 10 modes 1 9 modes from a program 1 9 split screen modes 9 3 split screen modes from a program 9 6 tables from a program 7 3 S continued SetUpEditor 12 21 A...

Страница 441: ...sample t confidence interval 13 17 T Test one sample t test 13 11 ZInterval one sample z confidence interval 13 16 Z Test one sample z test 13 10 Stats input option 13 6 13 7 STAT TESTS menu 13 9 sta...

Страница 442: ...of money TVM calculating 14 6 C Y variable number of compounding periods per year 14 14 formulas A 54 FV variable future value 14 14 variable annual interest rate 14 14 T continued time value of mone...

Страница 443: ...function 6 3 1 Var Stats one variable statistics 12 25 A 31 2 Var Stats two variable statistics 12 25 A 31 value operation on a graph 3 25 V continued variables complex 1 13 displaying and storing va...

Страница 444: ...20 A 32 ZDecimal 3 21 A 32 zero operation on a graph 3 26 ZInteger 3 22 A 32 ZInterval one sample z confidence interval 13 16 A 32 zoom 3 20 to 3 24 cursor 3 20 factors 3 24 function graphing 3 20 par...

Страница 445: ...TI83CALC DOC TI 83 Inside Cover Bob Fedorisko Revised 12 03 99 8 31 AM Printed 03 12 01 1 49 PM Page 1 of 2...

Страница 446: ...TI83CALC DOC TI 83 Inside Cover Bob Fedorisko Revised 12 03 99 8 31 AM Printed 03 12 01 1 49 PM Page 2 of 2...

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