User Manual
Page 70
... of a function. 7: fMax( Finds the maximum of a function. 8: nDeriv( Computes the numerical derivative. 9: fnInt( Computes the function integral. 0: Solver... Displays the equation solver. 4Frac, 4Dec 4Frac (display as a fraction) displays an answer as a decimal. TI-83 Plus Math, Angle, and Test Operations 67 MATH NUM CPX PRB 1: 4Frac Displays the answer as a fraction. 2: 4Dec...
... of a function. 7: fMax( Finds the maximum of a function. 8: nDeriv( Computes the numerical derivative. 9: fnInt( Computes the function integral. 0: Solver... Displays the equation solver. 4Frac, 4Dec 4Frac (display as a fraction) displays an answer as a decimal. TI-83 Plus Math, Angle, and Test Operations 67 MATH NUM CPX PRB 1: 4Frac Displays the answer as a fraction. 2: 4Dec...
User Manual
Page 74
fnInt( fnInt( (function integral) returns the numerical integral (Gauss-Kronrod method) of the Xres window variable before you press s. fnInt( is 1âL5). TI-83 Plus Math, Angle, and Test Operations 71 fnInt(expression,variable,lower,upper[,tolerance]) Tip: To speed the drawing of integration graphs (when fnInt( is used in a Y= equation), increase the value of expression with respect to variable, given lower limit, upper limit, and a tolerance (if not specified, the default is valid only for real numbers.
fnInt( fnInt( (function integral) returns the numerical integral (Gauss-Kronrod method) of the Xres window variable before you press s. fnInt( is 1âL5). TI-83 Plus Math, Angle, and Test Operations 71 fnInt(expression,variable,lower,upper[,tolerance]) Tip: To speed the drawing of integration graphs (when fnInt( is used in a Y= equation), increase the value of expression with respect to variable, given lower limit, upper limit, and a tolerance (if not specified, the default is valid only for real numbers.
User Manual
Page 150
... (x-intercept) of a function. When no value is displayed for X, press ' to cancel the value operation. Note: When a value is displayed, press ' to clear the value. TI-83 Plus Function Graphing 147 Finds a minimum of a function. Using the CALC (Calculate) Operations CALCULATE Menu To display the CALCULATE menu, press y ãCALCä. Use the... functions. CALCULATE 1:value 2:zero 3:minimum 4:maximum 5:intersect 6:dy/dx 7:‰f(x)dx Calculates a function Y value for a specified value of X. Finds an intersection of a function. Finds a numeric integral of two functions.
... (x-intercept) of a function. When no value is displayed for X, press ' to cancel the value operation. Note: When a value is displayed, press ' to clear the value. TI-83 Plus Function Graphing 147 Finds a minimum of a function. Using the CALC (Calculate) Operations CALCULATE Menu To display the CALCULATE menu, press y ãCALCä. Use the... functions. CALCULATE 1:value 2:zero 3:minimum 4:maximum 5:intersect 6:dy/dx 7:‰f(x)dx Calculates a function Y value for a specified value of X. Finds an intersection of a function. Finds a numeric integral of two functions.
User Manual
Page 156
... CALCULATE menu. Set lower and upper limits as you want to calculate the integral. 3. It uses the fnInt( function, with Lower Limit? Press } or † to move to the same x-value for zero. The current graph is shaded. TI-83 Plus Function Graphing 153 in a specified interval. To find the numerical derivative of H=1â...
... CALCULATE menu. Set lower and upper limits as you want to calculate the integral. 3. It uses the fnInt( function, with Lower Limit? Press } or † to move to the same x-value for zero. The current graph is shaded. TI-83 Plus Function Graphing 153 in a specified interval. To find the numerical derivative of H=1â...
User Manual
Page 582
...TI-83 Plus Activities 579 Press y 5 to return to select 5:Intersect. The graph is stored in Ans and X. 5. 4. Select a first curve, second curve, and guess for the shaded region. Press y / 5 to the home screen. Enter the expression to the home screen. Shade(Y2,Y1,Ans,75) 6. Press y 5 to go to evaluate the integral... for the intersection toward the left side of the integral, is displayed. Press y < 7 and use Shade( to see the area graphically. fnInt(Y1-Y2,X,Ans,75)...
...TI-83 Plus Activities 579 Press y 5 to return to select 5:Intersect. The graph is stored in Ans and X. 5. 4. Select a first curve, second curve, and guess for the shaded region. Press y / 5 to the home screen. Enter the expression to the home screen. Shade(Y2,Y1,Ans,75) 6. Press y 5 to go to evaluate the integral... for the intersection toward the left side of the integral, is displayed. Press y < 7 and use Shade( to see the area graphically. fnInt(Y1-Y2,X,Ans,75)...
User Manual
Page 587
Press z. Select the default settings. 2. Set the viewing window. 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 Press p.
Press z. Select the default settings. 2. Set the viewing window. 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 Press p.
User Manual
Page 588
... the graph style for Y3 to ç (line) and Y4 to compare the values of the two graphed functions, Y3 and Y4. Enter the numerical integral of 1àX and the function 1àX. TI-83 Plus Activities 585 3. Turn off Y1 and Y2, and then enter the numerical derivative of the...
... the graph style for Y3 to ç (line) and Y4 to compare the values of the two graphed functions, Y3 and Y4. Enter the numerical integral of 1àX and the function 1àX. TI-83 Plus Activities 585 3. Turn off Y1 and Y2, and then enter the numerical derivative of the...
User Manual
Page 666
...z 0123456789 (select one) † z Float MATH 7:fMax( MATH 6:fMin( MATH 9:fnInt( Y-VARS On/Off 2:FnOff TI-83 Plus Tables and Reference Information 663 Returns the value of variable where the local minimum of expression occurs, between lower and upper, with specified tolerance. fMax...in matrixname. Float Sets floating decimal mode. Deselects all Y= functions or specified Y= functions. Returns the function integral of decimal places. Fix # Sets fixed-decimal mode for # of expression with respect to variable, between lower and upper,...
...z 0123456789 (select one) † z Float MATH 7:fMax( MATH 6:fMin( MATH 9:fnInt( Y-VARS On/Off 2:FnOff TI-83 Plus Tables and Reference Information 663 Returns the value of variable where the local minimum of expression occurs, between lower and upper, with specified tolerance. fMax...in matrixname. Float Sets floating decimal mode. Deselects all Y= functions or specified Y= functions. Returns the function integral of decimal places. Fix # Sets fixed-decimal mode for # of expression with respect to variable, between lower and upper,...
User Manual
Page 728
... upper limits The Û-statistic is selected to achieve the preceding integral's equality relationship. The remaining bound is used as the bound producing the smallest integral. F ∫ p = f (x, n1 − 1, n2 − 1)dx 0 2.SampÜTest for the alternative hypothesis s1 < s2. TI-83 Plus Tables and Reference Information 725 2.SampÜTest for the alternative...
... upper limits The Û-statistic is selected to achieve the preceding integral's equality relationship. The remaining bound is used as the bound producing the smallest integral. F ∫ p = f (x, n1 − 1, n2 − 1)dx 0 2.SampÜTest for the alternative hypothesis s1 < s2. TI-83 Plus Tables and Reference Information 725 2.SampÜTest for the alternative...
User Manual
Page 771
..., 658 CoordOn, 126, 658 correlation coefficient (r), 354 cosL1( (arccosine), 63, 658 cos( (cosine), 63, 658 coshM1( (hyperbolic arccosine), 496, 658 cosh( (hyperbolic cosine), 496, 658 TI-83 Plus Index cosine (cos(), 63, 658 cross pixel mark (+), 235, 373 cube (3), 68, 693 cube root (3‡(), 68, 693 cubic regression (CubicReg), 359, 658 CubicReg (cubic...
..., 658 CoordOn, 126, 658 correlation coefficient (r), 354 cosL1( (arccosine), 63, 658 cos( (cosine), 63, 658 coshM1( (hyperbolic arccosine), 496, 658 cosh( (hyperbolic cosine), 496, 658 TI-83 Plus Index cosine (cos(), 63, 658 cross pixel mark (+), 235, 373 cube (3), 68, 693 cube root (3‡(), 68, 693 cubic regression (CubicReg), 359, 658 CubicReg (cubic...
User Manual
Page 775
...-decimal mode), 21, 663 floating-decimal mode (Float), 21, 663 fMax( (function maximum), 69, 663 fMin( (function minimum), 69, 663 fnInt( (function integral), 71, 663 FnOff (function off), 115, 663 FnOn (function on), 115, 664 For(, 515, 664 format settings, 125, 187 formulas amortization, 731 ANOVA,...value of money, 728 two-sample Û-Test, 724 two-sample t test, 726 fPart( (fractional part), 80, 273, 664 free-moving cursor, 132 TI-83 Plus Index frequency, 357 Full (full-screen mode), 25, 664 full-screen mode (Full), 25, 664 Func (function graphing mode), 23, 664 function graphing @X ...
...-decimal mode), 21, 663 floating-decimal mode (Float), 21, 663 fMax( (function maximum), 69, 663 fMin( (function minimum), 69, 663 fnInt( (function integral), 71, 663 FnOff (function off), 115, 663 FnOn (function on), 115, 664 For(, 515, 664 format settings, 125, 187 formulas amortization, 731 ANOVA,...value of money, 728 two-sample Û-Test, 724 two-sample t test, 726 fPart( (fractional part), 80, 273, 664 free-moving cursor, 132 TI-83 Plus Index frequency, 357 Full (full-screen mode), 25, 664 full-screen mode (Full), 25, 664 Func (function graphing mode), 23, 664 function graphing @X ...
User Manual
Page 776
... grouping, 616 -H- Smart Graph, 129 tracing, 134 viewing window, 121 window variables, 121, 122, 123 Y= editor, 111 ZOOM MEMORY menu, 144 ZOOM menu, 138 function integral (fnInt(), 71, 663 function, definition of, 15 functions and instructions table, 654 future value, 444, 451 FV (future-value variable), 444, 462 -G- G.T (graph-table split..., 665 GDB (graph database), 242 geometcdf(, 433, 665 geometpdf(, 433, 665 Get( (get data from CBL 2/CBL or CBR), 533, 665 GetCalc( (get data from TI.83), 533, 665 getKey, 531, 665 TI-83 Plus Index Getting Started.
... grouping, 616 -H- Smart Graph, 129 tracing, 134 viewing window, 121 window variables, 121, 122, 123 Y= editor, 111 ZOOM MEMORY menu, 144 ZOOM menu, 138 function integral (fnInt(), 71, 663 function, definition of, 15 functions and instructions table, 654 future value, 444, 451 FV (future-value variable), 444, 462 -G- G.T (graph-table split..., 665 GDB (graph database), 242 geometcdf(, 433, 665 geometpdf(, 433, 665 Get( (get data from CBL 2/CBL or CBR), 533, 665 GetCalc( (get data from TI.83), 533, 665 getKey, 531, 665 TI-83 Plus Index Getting Started.
User Manual
Page 777
... table, 419 pooled option, 391 STAT TESTS menu, 394 test and interval output variables, 422 Input, 526, 527, 667 insert cursor, 12 TI-83 Plus Index inString( (in string), 492, 667 instruction, definition of return), 453, 668 IS>( (increment and skip), 520, 668 -K- See stat... variable, 206, 209, 667 IndpntAsk, 206, 209, 667 IndpntAuto, 206, 209, 667 inferential stat editors, 388 inferential statistics. See numerical integral interest rate conversions 4Eff( (compute effective interest rate), 459 4Nom( (compute nominal interest rate), 459 calculating, 459 formula, 733 internal rate of...
... table, 419 pooled option, 391 STAT TESTS menu, 394 test and interval output variables, 422 Input, 526, 527, 667 insert cursor, 12 TI-83 Plus Index inString( (in string), 492, 667 instruction, definition of return), 453, 668 IS>( (increment and skip), 520, 668 -K- See stat... variable, 206, 209, 667 IndpntAsk, 206, 209, 667 IndpntAuto, 206, 209, 667 inferential stat editors, 388 inferential statistics. See numerical integral interest rate conversions 4Eff( (compute effective interest rate), 459 4Nom( (compute nominal interest rate), 459 calculating, 459 formula, 733 internal rate of...
User Manual
Page 781
...103, 673 order of -payment-periods-peryear variable), 444, 463 TI-83 Plus Index panning, 136 Par/Param (parametric graphing mode), 23, 674 parametric equations, 159 parametric graphing CALC (calculate operations on a graph), 165 defining and editing, 158, 159 free-moving cursor, 163 graph format, 161 graph... styles, 159 moving the cursor to (ƒ), 101, 694 not( (Boolean operator), 104, 673 nPr (permutations), 93, 673 npv( (net present value), 453, 673 numerical derivative, 70, 152, 165, 175 numerical integral, 70,...
...103, 673 order of -payment-periods-peryear variable), 444, 463 TI-83 Plus Index panning, 136 Par/Param (parametric graphing mode), 23, 674 parametric equations, 159 parametric graphing CALC (calculate operations on a graph), 165 defining and editing, 158, 159 free-moving cursor, 163 graph format, 161 graph... styles, 159 moving the cursor to (ƒ), 101, 694 not( (Boolean operator), 104, 673 nPr (permutations), 93, 673 npv( (net present value), 453, 673 numerical derivative, 70, 152, 165, 175 numerical integral, 70,...