User Manual
Page 445
... payment periods per year to 12. TI-83 Plus Applications 442 Press Œ Í to select 1:TVM Solver from the APPLICATIONS menu. 2. The TVM Solver is displayed. Press Í to select 1:Finance from the CALC VARS menu. Press † 0 to specify no payments when you solve compound interest problems, PMT must be set to...
... payment periods per year to 12. TI-83 Plus Applications 442 Press Œ Í to select 1:TVM Solver from the APPLICATIONS menu. 2. The TVM Solver is displayed. Press Í to select 1:Finance from the CALC VARS menu. Press † 0 to specify no payments when you solve compound interest problems, PMT must be set to...
User Manual
Page 550
... Press 1 Í to display the TABLE SETUP menu. 2. The highlighted = sign indicates that the table will be generated automatically. Press Í to the problem. 1. TI-83 Plus Activities 547 Leave Indpnt: Auto and Depend: Auto so that Y1 is selected. Press £ 20 ¹ 2 „ ¤ £ 25 ...165; 2 to define the volume function as Y1 in terms of the TI-83 Plus displays numeric information about a function. Box with Lid Defining a Table of Values The table feature of X. „ lets you just defined to estimate...
... Press 1 Í to display the TABLE SETUP menu. 2. The highlighted = sign indicates that the table will be generated automatically. Press Í to the problem. 1. TI-83 Plus Activities 547 Leave Indpnt: Auto and Depend: Auto so that Y1 is selected. Press £ 20 ¹ 2 „ ¤ £ 25 ...165; 2 to define the volume function as Y1 in terms of the TI-83 Plus displays numeric information about a function. Box with Lid Defining a Table of Values The table feature of X. „ lets you just defined to estimate...
User Manual
Page 551
Press y -. Press y 0 (above s) to scroll the table until a negative result for Y1 is displayed. Notice that the maximum value for this problem occurs where the sign of X displayed in the table is about 4, between 10 and 11. 6. Notice that TblStart has changed to 6 to reflect the first ... value of Y1 (box's volume) changes from positive to negative, between 3 and 5. 5. Notice that the maximum length of X for Y1 (box's volume) occurs when X is 6.) TI-83 Plus Activities 548 4. Press and hold † to display the table.
Press y -. Press y 0 (above s) to scroll the table until a negative result for Y1 is displayed. Notice that the maximum value for this problem occurs where the sign of X displayed in the table is about 4, between 10 and 11. 6. Notice that TblStart has changed to 6 to reflect the first ... value of Y1 (box's volume) changes from positive to negative, between 3 and 5. 5. Notice that the maximum length of X for Y1 (box's volume) occurs when X is 6.) TI-83 Plus Activities 548 4. Press and hold † to display the table.
User Manual
Page 563
The TI Graphics team conducted a similar test for adult men and women. Comparing Test Results Using Box Plots Problem An experiment found a significant difference between boys and girls pertaining to their ability to identify objects held 15 of their brains, versus their right hands, .... Use box plots to see. Women Left 8 9 12 11 10 8 Correct Guesses Women Men Right Left 4 7 1 8 8 7 12 5 11 7 11 8 Men Right 12 6 12 12 7 11 TI-83 Plus Activities 560
The TI Graphics team conducted a similar test for adult men and women. Comparing Test Results Using Box Plots Problem An experiment found a significant difference between boys and girls pertaining to their ability to identify objects held 15 of their brains, versus their right hands, .... Use box plots to see. Women Left 8 9 12 11 10 8 Correct Guesses Women Men Right Left 4 7 1 8 8 7 12 5 11 7 11 8 Men Right 12 6 12 12 7 11 TI-83 Plus Activities 560
User Manual
Page 567
...the Y= function to define the piecewise function. Use the TEST menu operations to describe the fine. TI-83 Plus Activities 564 Graph the piecewise function that describes the cost of the ticket. plus 5 for each kph from 66 kph and above. The fine (Y) as a function of kilometers per... + 5 ä 10 + 10 (X N 55) Y = 50 + 5 ä 10 + 10 ä 10 + 20 (X N 65) 0 < X 45 45 < X 55 55 < X 65 65 < X Procedure 1. Press o. plus 10 for each kph from 46 to í (dot). Select Func and the default settings. 2. Set the graph style for Y1 to 55 kph; Turn...
...the Y= function to define the piecewise function. Use the TEST menu operations to describe the fine. TI-83 Plus Activities 564 Graph the piecewise function that describes the cost of the ticket. plus 5 for each kph from 66 kph and above. The fine (Y) as a function of kilometers per... + 5 ä 10 + 10 (X N 55) Y = 50 + 5 ä 10 + 10 ä 10 + 20 (X N 65) 0 < X 45 45 < X 55 55 < X 65 65 < X Procedure 1. Press o. plus 10 for each kph from 46 to í (dot). Select Func and the default settings. 2. Set the graph style for Y1 to 55 kph; Turn...
User Manual
Page 569
... changes all functions and stat plots. Turn off all graph style icons to í (dot) in the Y= editor. 2. TI-83 Plus Activities 566 Use the TEST menu operations to 1 if true or 0 if false. Graphing Inequalities Problem Graph the inequality 0.4X3 N 3X + 5 < 0.2X + 4. Enter the left side of X where the inequality is true and...
... changes all functions and stat plots. Turn off all graph style icons to í (dot) in the Y= editor. 2. TI-83 Plus Activities 566 Use the TEST menu operations to 1 if true or 0 if false. Graphing Inequalities Problem Graph the inequality 0.4X3 N 3X + 5 < 0.2X + 4. Enter the left side of X where the inequality is true and...
User Manual
Page 571
Stated another way, solve the system of Nonlinear Equations Problem Using a graph, solve the equation X3 N 2X = 2cos(X). Press q 4 to intersect). TI-83 Plus Activities 568 Procedure 1. The display shows that two solutions may exist (points where the two functions appear to select 4:ZDecimal. Select the default mode settings. Enter the functions. 2. Turn off all functions and stat plots. Use ZOOM factors to control the decimal places displayed on the graph. Press z. Press o. Solving a System of two equations and two unknowns: Y = X3N2X and Y = 2cos(X).
Stated another way, solve the system of Nonlinear Equations Problem Using a graph, solve the equation X3 N 2X = 2cos(X). Press q 4 to intersect). TI-83 Plus Activities 568 Procedure 1. The display shows that two solutions may exist (points where the two functions appear to select 4:ZDecimal. Select the default mode settings. Enter the functions. 2. Turn off all functions and stat plots. Use ZOOM factors to control the decimal places displayed on the graph. Press z. Press o. Solving a System of two equations and two unknowns: Y = X3N2X and Y = 2cos(X).
User Manual
Page 575
... settings. 2. Graphing Cobweb Attractors Problem Using Web format, you can identify points with attracting and repelling behavior in sequence graphing. u(n)=Ku(nN1)(1Nu(nN1)) u(nMin)=.01 3. Press z. Enter the sequence that corresponds to K. 4. Press p. nMin=0 Xmin=0 Ymin=M.26 nMax=10 Xmax=1 Ymax=1.1 PlotStart=1 Xscl=1 Yscl=1 PlotStep=1 TI-83 Plus Activities 572 Clear all functions...
... settings. 2. Graphing Cobweb Attractors Problem Using Web format, you can identify points with attracting and repelling behavior in sequence graphing. u(n)=Ku(nN1)(1Nu(nN1)) u(nMin)=.01 3. Press z. Enter the sequence that corresponds to K. 4. Press p. nMin=0 Xmin=0 Ymin=M.26 nMax=10 Xmax=1 Ymax=1.1 PlotStart=1 Xscl=1 Yscl=1 PlotStep=1 TI-83 Plus Activities 572 Clear all functions...
User Manual
Page 579
... as T and the Y component as F(T). Press o. Graphing the Unit Circle and Trigonometric Curves Problem Using parametric graphing mode, graph the unit circle and the sine curve to define the unit circle centered on (0,0). Set the viewing window. TI-83 Plus Activities 576 Procedure 1. Press z. Tmin=0 Xmin=L2 Ymin=L3 Tmax=2p Xmax=7.4 Ymax=3 Tstep...
... as T and the Y component as F(T). Press o. Graphing the Unit Circle and Trigonometric Curves Problem Using parametric graphing mode, graph the unit circle and the sine curve to define the unit circle centered on (0,0). Set the viewing window. TI-83 Plus Activities 576 Procedure 1. Press z. Tmin=0 Xmin=L2 Ymin=L3 Tmax=2p Xmax=7.4 Ymax=3 Tstep...
User Manual
Page 581
Press o. Y1=300Xà(X2+625) Y2=3cos(.1X) TI-83 Plus Activities 578 Select the default mode settings. 2. Press z. Press p. Xmin=0 Ymin=L5 Xmax=100 Ymax=10 Xscl=10 Yscl=1 Xres=1 3. Turn off all functions and stat plots. Enter the upper and lower functions. Set the viewing window. Finding the Area between Curves Problem Find the area of the region bounded by f(x) = 300x / (x2 + 625) g(x) = 3cos(.1x) x = 75 Procedure 1.
Press o. Y1=300Xà(X2+625) Y2=3cos(.1X) TI-83 Plus Activities 578 Select the default mode settings. 2. Press z. Press p. Xmin=0 Ymin=L5 Xmax=100 Ymax=10 Xscl=10 Yscl=1 Xres=1 3. Turn off all functions and stat plots. Enter the upper and lower functions. Set the viewing window. Finding the Area between Curves Problem Find the area of the region bounded by f(x) = 300x / (x2 + 625) g(x) = 3cos(.1x) x = 75 Procedure 1.
User Manual
Page 583
... ferris wheel, and (10,10) is at a rate (s) of one revolution every 12 seconds. X(T) = b N Tv0 cosq Y(T) = Tv0 sinq N (gà2) T2 where g = 9.8 m/sec2 TI-83 Plus Activities 580 Using Parametric Equations: Ferris Wheel Problem Problem Using two pairs of parametric equations, determine when two objects in the same plane. X(T) = r cos a Y(T) = r + r sin a where a = 2pTs and r = dà2 A person...
... ferris wheel, and (10,10) is at a rate (s) of one revolution every 12 seconds. X(T) = b N Tv0 cosq Y(T) = Tv0 sinq N (gà2) T2 where g = 9.8 m/sec2 TI-83 Plus Activities 580 Using Parametric Equations: Ferris Wheel Problem Problem Using two pairs of parametric equations, determine when two objects in the same plane. X(T) = r cos a Y(T) = r + r sin a where a = 2pTs and r = dà2 A person...
User Manual
Page 587
Press z. Select the default settings. 2. Press p. Demonstrating the Fundamental Theorem of Calculus Problem 1 Using the functions fnInt( and nDeriv( from the MATH menu to graph functions defined by integrals and derivatives demonstrates graphically that: x F (x) = ∫ dt = ln (x), x > 0 and that 1 ∫ Dx x 1 1 t dt = 1 x Procedure 1 1. Xmin=.01 Ymin=M1.5 Xres=3 Xmax=10 Ymax=2.5 Xscl=1 Yscl=1 TI-83 Plus Activities 584 Set the viewing window.
Press z. Select the default settings. 2. Press p. Demonstrating the Fundamental Theorem of Calculus Problem 1 Using the functions fnInt( and nDeriv( from the MATH menu to graph functions defined by integrals and derivatives demonstrates graphically that: x F (x) = ∫ dt = ln (x), x > 0 and that 1 ∫ Dx x 1 1 t dt = 1 x Procedure 1 1. Xmin=.01 Ymin=M1.5 Xres=3 Xmax=10 Ymax=2.5 Xscl=1 Yscl=1 TI-83 Plus Activities 584 Set the viewing window.
User Manual
Page 589
Problem 2 Explore the functions defined by a constant. Notice that the functions appear identical, only shifted vertically by x x x ∫ ∫ ∫ y = t2dt, t2dt, and t2dt, 2 0 2 Procedure 2 1. TI-83 Plus Activities 586 Store the function in Y5. 2. Press r. Turn off all functions and stat plots. Use a list to select 6:ZStandard. 3. Press o. Press q 6 to define these three functions simultaneously.
Problem 2 Explore the functions defined by a constant. Notice that the functions appear identical, only shifted vertically by x x x ∫ ∫ ∫ y = t2dt, t2dt, and t2dt, 2 0 2 Procedure 2 1. TI-83 Plus Activities 586 Store the function in Y5. 2. Press r. Turn off all functions and stat plots. Use a list to select 6:ZStandard. 3. Press o. Press q 6 to define these three functions simultaneously.
User Manual
Page 591
N = 4 sides N = 8 sides N = 12 sides Procedure 1. If the TI-83 Plus Activities 588 Consider the formula A = NB2 sin(pàN) cos(pàN) for each variable, given the other variables. Press 0 to select 0:Solver from the center ... limiting case is displayed. Either the equation editor or the interactive solver editor is the area of a circle, pr2. Computing Areas of Regular N-Sided Polygons Problem Use the equation solver to a vertex.
N = 4 sides N = 8 sides N = 12 sides Procedure 1. If the TI-83 Plus Activities 588 Consider the formula A = NB2 sin(pàN) cos(pàN) for each variable, given the other variables. Press 0 to select 0:Solver from the center ... limiting case is displayed. Either the equation editor or the interactive solver editor is the area of a circle, pr2. Computing Areas of Regular N-Sided Polygons Problem Use the equation solver to a vertex.
User Manual
Page 595
Set the other mode settings to 2 decimal places. Computing and Graphing Mortgage Payments Problem You are a loan officer at a mortgage company, and you recently closed on the graph. Press z and set the fixed-decimal mode to the defaults. 2. Enter ... Œ Í Í to show PMT as positive numbers on a 30-year home mortgage at 8 percent interest with monthly payments of 800. Enter 0 for FV, TI-83 Plus Activities 592
Set the other mode settings to 2 decimal places. Computing and Graphing Mortgage Payments Problem You are a loan officer at a mortgage company, and you recently closed on the graph. Press z and set the fixed-decimal mode to the defaults. 2. Enter ... Œ Í Í to show PMT as positive numbers on a 30-year home mortgage at 8 percent interest with monthly payments of 800. Enter 0 for FV, TI-83 Plus Activities 592
User Manual
Page 631
TI-83 Plus Memory and Variable Management 628 If memory is displayed, it will indicate the largest single space of memory. To resolve the problem, use the GarbageCollect command to store an application within a continuous block of memory available for storing a variable and an application. ERR:ARCHIVE FULL Message Even ...
TI-83 Plus Memory and Variable Management 628 If memory is displayed, it will indicate the largest single space of memory. To resolve the problem, use the GarbageCollect command to store an application within a continuous block of memory available for storing a variable and an application. ERR:ARCHIVE FULL Message Even ...
User Manual
Page 752
... problems return this error because the End statement that terminates the loop is never reached. • You are unable to transmit an item because the receiving unit's available memory is insufficient. Branching out of bytes the sending unit must delete items from memory (Chapter 18) before executing the instruction or function. TI-83 Plus...
... problems return this error because the End statement that terminates the loop is never reached. • You are unable to transmit an item because the receiving unit's available memory is insufficient. Branching out of bytes the sending unit must delete items from memory (Chapter 18) before executing the instruction or function. TI-83 Plus...
User Manual
Page 756
TI-83 Plus General Information 753 You may have attempted to zoom in or zoom out to graph correctly. Error Type WINDOW RANGE ZOOM Possible Causes and Suggested Remedies A problem exists with the window variables. • You defined Xmax Xmin or Ymax Ymin. • You defined qmax qmin and qstep ... Tmax Tmin and Tstep > 0 (or vice versa). • Window variables are too small or too large to a point that exceeds the TI-83 Plus's numerical range. • A point or a line, instead of a box, is defined in ZBox. • A ZOOM operation returned a math error.
TI-83 Plus General Information 753 You may have attempted to zoom in or zoom out to graph correctly. Error Type WINDOW RANGE ZOOM Possible Causes and Suggested Remedies A problem exists with the window variables. • You defined Xmax Xmin or Ymax Ymin. • You defined qmax qmin and qstep ... Tmax Tmin and Tstep > 0 (or vice versa). • Window variables are too small or too large to a point that exceeds the TI-83 Plus's numerical range. • A point or a line, instead of a box, is defined in ZBox. • A ZOOM operation returned a math error.
User Manual
Page 774
... solving a system of linear equations, 256 unit circle, 246 TI-83 Plus Index volume of curves, 131 Fill(, 276, 663 FINANCE CALC menu, 446 FINANCE VARS menu, 462 financial functions amortization schedules, 454 771 inequalities, 566 mortgage payments, 592 parametric equations, ferris wheel problem, 580 piecewise functions, 564 quadratic formula converting to -expression conversion...
... solving a system of linear equations, 256 unit circle, 246 TI-83 Plus Index volume of curves, 131 Fill(, 276, 663 FINANCE CALC menu, 446 FINANCE VARS menu, 462 financial functions amortization schedules, 454 771 inequalities, 566 mortgage payments, 592 parametric equations, ferris wheel problem, 580 piecewise functions, 564 quadratic formula converting to -expression conversion...
User Manual
Page 822
... Maximum 557 Comparing Test Results Using Box Plots 560 Problem 560 Procedure 561 Graphing Piecewise Functions 564 Problem 564 Procedure 564 Graphing Inequalities 566 Problem 566 Procedure 566 Solving a System of Nonlinear Equations 568 Problem 568 Procedure 568 Using a Program to Create the ... 570 Setting up the Program 570 Program 570 Graphing Cobweb Attractors 572 Problem 572 Procedure 572 Using a Program to Guess the Coefficients 574 Setting Up the Program 574 Program 574 Graphing the Unit Circle and Trigonometric Curves 576 TI-83 Plus Quick-Find Locator xxxi
... Maximum 557 Comparing Test Results Using Box Plots 560 Problem 560 Procedure 561 Graphing Piecewise Functions 564 Problem 564 Procedure 564 Graphing Inequalities 566 Problem 566 Procedure 566 Solving a System of Nonlinear Equations 568 Problem 568 Procedure 568 Using a Program to Create the ... 570 Setting up the Program 570 Program 570 Graphing Cobweb Attractors 572 Problem 572 Procedure 572 Using a Program to Guess the Coefficients 574 Setting Up the Program 574 Program 574 Graphing the Unit Circle and Trigonometric Curves 576 TI-83 Plus Quick-Find Locator xxxi