User Manual
Page 70
... the xth root. 6: fMin( Finds the minimum 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... TI-83 Plus Math, Angle, and Test Operations 67 Calculates the cube. You can only use 4Frac with real or complex numbers, expressions, lists, and matrices. MATH NUM...
... the xth root. 6: fMin( Finds the minimum 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... TI-83 Plus Math, Angle, and Test Operations 67 Calculates the cube. You can only use 4Frac with real or complex numbers, expressions, lists, and matrices. MATH NUM...
User Manual
Page 74
fnInt(expression,variable,lower,upper[,tolerance]) Tip: To speed the drawing of integration graphs (when fnInt( is valid only for real numbers. TI-83 Plus Math, Angle, and Test Operations 71 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 1âL5). fnInt( fnInt( (function integral) returns the numerical integral (Gauss-Kronrod method) of the Xres window variable before you press s.
fnInt(expression,variable,lower,upper[,tolerance]) Tip: To speed the drawing of integration graphs (when fnInt( is valid only for real numbers. TI-83 Plus Math, Angle, and Test Operations 71 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 1âL5). fnInt( fnInt( (function integral) returns the numerical integral (Gauss-Kronrod method) of the Xres window variable before you press s.
User Manual
Page 150
.... Finds a numeric integral of a function. Finds a zero (x-intercept) of a function. value value evaluates one or more currently selected functions for a specified value of a function. Use the items on this menu to clear the value. Finds a numeric derivative of X. When no value is displayed for a given X. Finds a maximum of a function. TI-83 Plus Function Graphing...
.... Finds a numeric integral of a function. Finds a zero (x-intercept) of a function. value value evaluates one or more currently selected functions for a specified value of a function. Use the items on this menu to clear the value. Finds a numeric derivative of X. When no value is displayed for a given X. Finds a maximum of a function. TI-83 Plus Function Graphing...
User Manual
Page 156
... a function, follow these steps. 1. in a specified interval. Note: The shaded area is displayed with a tolerance of H=1âL3. TI-83 Plus Function Graphing 153 The current graph is a drawing. The integral value is displayed, and the integrated area is shaded. Select 7:‰f(x)dx from the CALCULATE menu. It uses the fnInt( function, with Lower Limit...
... a function, follow these steps. 1. in a specified interval. Note: The shaded area is displayed with a tolerance of H=1âL3. TI-83 Plus Function Graphing 153 The current graph is a drawing. The integral value is displayed, and the integrated area is shaded. Select 7:‰f(x)dx from the CALCULATE menu. It uses the fnInt( function, with Lower Limit...
User Manual
Page 582
... return to the home screen. 4. Press y 5 to go to the home screen. Enter the expression to evaluate the integral for the intersection toward the left side of the integral, is stored in Ans and X. 5. TI-83 Plus Activities 579 The solution is displayed, and the value of X at the intersection, which is the lower limit...
... return to the home screen. 4. Press y 5 to go to the home screen. Enter the expression to evaluate the integral for the intersection toward the left side of the integral, is stored in Ans and X. 5. TI-83 Plus Activities 579 The solution is displayed, and the value of X at the intersection, which is the lower limit...
User Manual
Page 587
Press p. Press z. 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. Select the default settings. 2. Set the viewing window. 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. 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. Select the default settings. 2. Set the viewing window. Xmin=.01 Ymin=M1.5 Xres=3 Xmax=10 Ymax=2.5 Xscl=1 Yscl=1 TI-83 Plus Activities 584
User Manual
Page 588
...; (thick). 6. Set the graph style for Y3 to ç (line) and Y4 to ë (path). 4. Press o. Enter the numerical integral of 1àT from 1 to compare the values of Y1 and Y2. 5. TI-83 Plus Activities 585 Press |, }, ~, and † to X and the function ln(X). Turn off all functions and stat plots. Press r. Again, use...
...; (thick). 6. Set the graph style for Y3 to ç (line) and Y4 to ë (path). 4. Press o. Enter the numerical integral of 1àT from 1 to compare the values of Y1 and Y2. 5. TI-83 Plus Activities 585 Press |, }, ~, and † to X and the function ln(X). Turn off all functions and stat plots. Press r. Again, use...
User Manual
Page 666
...( MATH 6:fMin( MATH 9:fnInt( Y-VARS On/Off 2:FnOff TI-83 Plus Tables and Reference Information 663 Fix # Sets fixed-decimal mode for # of expression with respect to variable, between lower and upper, with specified tolerance. Returns the function integral of decimal places. Function or Instruction/ Arguments Fill(value,matrixname) Result Stores...
...( MATH 6:fMin( MATH 9:fnInt( Y-VARS On/Off 2:FnOff TI-83 Plus Tables and Reference Information 663 Fix # Sets fixed-decimal mode for # of expression with respect to variable, between lower and upper, with specified tolerance. Returns the function integral of decimal places. Function or Instruction/ Arguments Fill(value,matrixname) Result Stores...
User Manual
Page 728
...; 1, n2 − 1)dx = f (x, n1 − 1, n2 − 1)dx 0 Ubnd 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 F ∫ p = f (x, n1 − 1, n2 − 1)dx 0 2.SampÜTest for the alternative hypothesis s1 < s2.
...; 1, n2 − 1)dx = f (x, n1 − 1, n2 − 1)dx 0 Ubnd 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 F ∫ p = f (x, n1 − 1, n2 − 1)dx 0 2.SampÜTest for the alternative hypothesis s1 < s2.
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
... 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. See examples, Getting Started Goto, 519, 665 graph database (GDB), 242 graph styles, 117 graphing modes, 23 graphing-order...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-
... 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. See examples, Getting Started Goto, 519, 665 graph database (GDB), 242 graph styles, 117 graphing modes, 23 graphing-order...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-
User Manual
Page 777
..., 273, 668 irr( (internal rate of , 16 int( (greatest integer), 81, 273, 668 integer part (iPart(), 80, 273, 668 integral. confidence intervals alternative hypotheses, 391 bypassing editors, 393 calculating test results (Calculate), 392 confidence interval calculations, 392 data input or stats input, 390 ...descriptions 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- keyboard layout...
..., 273, 668 irr( (internal rate of , 16 int( (greatest integer), 81, 273, 668 integer part (iPart(), 80, 273, 668 integral. confidence intervals alternative hypotheses, 391 bypassing editors, 393 calculating test results (Calculate), 392 confidence interval calculations, 392 data input or stats input, 390 ...descriptions 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- keyboard layout...
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,...