User Manual
Page 70
... of a function. 8: nDeriv( Computes the numerical derivative. 9: fnInt( Computes the function integral. 0: Solver... Calculates the cube. Calculates the cube root. If the answer cannot be simplified or the resulting denominator is more than three digits, the decimal equivalent is returned. TI-83 Plus Math, Angle, and Test Operations 67 You can use 4Frac following...
... of a function. 8: nDeriv( Computes the numerical derivative. 9: fnInt( Computes the function integral. 0: Solver... Calculates the cube. Calculates the cube root. If the answer cannot be simplified or the resulting denominator is more than three digits, the decimal equivalent is returned. TI-83 Plus Math, Angle, and Test Operations 67 You can use 4Frac following...
User Manual
Page 74
fnInt(expression,variable,lower,upper[,tolerance]) Tip: To speed the drawing of the Xres window variable before you press s. TI-83 Plus Math, Angle, and Test Operations 71 fnInt( fnInt( (function integral) returns the numerical integral (Gauss-Kronrod method) of expression with respect to variable, given lower limit, upper limit, and a tolerance (if not specified, the default is used in a Y= equation), increase the value of integration graphs (when fnInt( is 1âL5). fnInt( is valid only for real numbers.
fnInt(expression,variable,lower,upper[,tolerance]) Tip: To speed the drawing of the Xres window variable before you press s. TI-83 Plus Math, Angle, and Test Operations 71 fnInt( fnInt( (function integral) returns the numerical integral (Gauss-Kronrod method) of expression with respect to variable, given lower limit, upper limit, and a tolerance (if not specified, the default is used in a Y= equation), increase the value of integration graphs (when fnInt( is 1âL5). fnInt( is valid only for real numbers.
User Manual
Page 150
Finds a zero (x-intercept) of a function. Finds a minimum of a function. Finds an intersection of a function. Finds a numeric integral of two functions. When no value is displayed for X, press ' to clear the value. Use the items on this menu to cancel ... a function Y value for a specified value of X. Using the CALC (Calculate) Operations CALCULATE Menu To display the CALCULATE menu, press y ãCALCä. TI-83 Plus Function Graphing 147 Note: When a value is displayed, press ' to analyze the current graph functions. Finds a maximum of a function.
Finds a zero (x-intercept) of a function. Finds a minimum of a function. Finds an intersection of a function. Finds a numeric integral of two functions. When no value is displayed for X, press ' to clear the value. Use the items on this menu to cancel ... a function Y value for a specified value of X. Using the CALC (Calculate) Operations CALCULATE Menu To display the CALCULATE menu, press y ãCALCä. TI-83 Plus Function Graphing 147 Note: When a value is displayed, press ' to analyze the current graph functions. Finds a maximum of a function.
User Manual
Page 156
... find the numerical derivative of H=1âL3. Set lower and upper limits as you want to calculate the integral. 3. Note: The shaded area is shaded. TI-83 Plus Function Graphing 153 The current graph is displayed with a tolerance of a function, follow these steps. 1. The... integral value is displayed, and the integrated area is a drawing. To move the cursor to the function for which you would set left ...
... find the numerical derivative of H=1âL3. Set lower and upper limits as you want to calculate the integral. 3. Note: The shaded area is shaded. TI-83 Plus Function Graphing 153 The current graph is displayed with a tolerance of a function, follow these steps. 1. The... integral value is displayed, and the integrated area is a drawing. To move the cursor to the function for which you would set left ...
User Manual
Page 582
...-Y2,X,Ans,75) The area is 325.839962. Select a first curve, second curve, and guess for the shaded region. Enter the expression to evaluate the integral for the intersection toward the left side of the integral, is displayed. Shade(Y2,Y1,Ans,75) 6. TI-83 Plus Activities 579
...-Y2,X,Ans,75) The area is 325.839962. Select a first curve, second curve, and guess for the shaded region. Enter the expression to evaluate the integral for the intersection toward the left side of the integral, is displayed. Shade(Y2,Y1,Ans,75) 6. TI-83 Plus Activities 579
User Manual
Page 587
Press z. 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 p. Select the default settings. 2. 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.
Press z. 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 p. Select the default settings. 2. 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.
User Manual
Page 588
... ç (line) and Y4 to è (thick). 6. Press o. Press o. TI-83 Plus Activities 585 Again, use the cursor keys to compare the values of the two graphed functions, Y3 and Y4. Turn off Y1 and Y2, and then enter the numerical derivative of the integral of 1àT from 1 to ë (path). 4. Press |, }, ~, and †... of Y1 and Y2. 5. Press r. Press r. Set the graph style for Y1 to ç (line) and Y2 to X and the function ln(X). Enter the numerical integral of 1àX and the function 1àX. Turn off all functions and stat plots.
... ç (line) and Y4 to è (thick). 6. Press o. Press o. TI-83 Plus Activities 585 Again, use the cursor keys to compare the values of the two graphed functions, Y3 and Y4. Turn off Y1 and Y2, and then enter the numerical derivative of the integral of 1àT from 1 to ë (path). 4. Press |, }, ~, and †... of Y1 and Y2. 5. Press r. Press r. Set the graph style for Y1 to ç (line) and Y2 to X and the function ln(X). Enter the numerical integral of 1àX and the function 1àX. Turn off all functions and stat plots.
User Manual
Page 666
...; Y-VARS On/Off 2:FnOff TI-83 Plus Tables and Reference Information 663 Float Sets floating decimal mode. Returns the value of variable where the local minimum of expression with respect to variable, between lower and upper, with specified tolerance. Deselects all Y= functions or specified Y= functions. Returns the function integral of expression occurs, between lower...
...; Y-VARS On/Off 2:FnOff TI-83 Plus Tables and Reference Information 663 Float Sets floating decimal mode. Returns the value of variable where the local minimum of expression with respect to variable, between lower and upper, with specified tolerance. Deselects all Y= functions or specified Y= functions. Returns the function integral of expression occurs, between lower...
User Manual
Page 728
... where: [Lbnd,Ubnd] = lower and upper limits The Û-statistic is selected to achieve the preceding integral's equality relationship. TI-83 Plus Tables and Reference Information 725 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. 2.Samp...
... where: [Lbnd,Ubnd] = lower and upper limits The Û-statistic is selected to achieve the preceding integral's equality relationship. TI-83 Plus Tables and Reference Information 725 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. 2.Samp...
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
... CBL 2/CBL or CBR), 533, 665 GetCalc( (get data from TI.83), 533, 665 getKey, 531, 665 TI-83 Plus Index Getting Started. 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...
... CBL 2/CBL or CBR), 533, 665 GetCalc( (get data from TI.83), 533, 665 getKey, 531, 665 TI-83 Plus Index Getting Started. 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...
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- identity(, ..., 209, 667 IndpntAuto, 206, 209, 667 inferential stat editors, 388 inferential statistics. keyboard layout, 2 math operations, 63 774 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- identity(, ..., 209, 667 IndpntAuto, 206, 209, 667 inferential stat editors, 388 inferential statistics. keyboard layout, 2 math operations, 63 774 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,...