User Manual
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... numbers, expressions, lists, and matrices. MATH Operations MATH Menu To display the MATH menu, press . Calculates the cube. You can use 4Frac following value. TI-83 Plus Math, Angle, and Test Operations 67 Calculates the cube root. MATH NUM CPX PRB 1: 4Frac Displays the answer as a fraction. 2: 4Dec 3: 3 4: 3‡( 5: x‡ Displays the.... Calculates 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...
... numbers, expressions, lists, and matrices. MATH Operations MATH Menu To display the MATH menu, press . Calculates the cube. You can use 4Frac following value. TI-83 Plus Math, Angle, and Test Operations 67 Calculates the cube root. MATH NUM CPX PRB 1: 4Frac Displays the answer as a fraction. 2: 4Dec 3: 3 4: 3‡( 5: x‡ Displays the.... Calculates 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...
User Manual
Page 74
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(expression,variable,lower,upper[,tolerance]) Tip: To speed the drawing of the Xres window variable before you press s. fnInt( is valid only for real numbers.
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(expression,variable,lower,upper[,tolerance]) Tip: To speed the drawing of the Xres window variable before you press s. fnInt( is valid only for real numbers.
User Manual
Page 150
.../dx 7:‰f(x)dx Calculates a function Y value for a specified value of X. Finds a numeric integral of a function. Note: When a value is displayed, press ' to cancel the value operation. When no value is displayed for X, press ' to analyze the current graph functions. TI-83 Plus Function Graphing 147 Finds a zero (x-intercept) of a function. Use the items on...
.../dx 7:‰f(x)dx Calculates a function Y value for a specified value of X. Finds a numeric integral of a function. Note: When a value is displayed, press ' to cancel the value operation. When no value is displayed for X, press ' to analyze the current graph functions. TI-83 Plus Function Graphing 147 Finds a zero (x-intercept) of a function. Use the items on...
User Manual
Page 156
Set lower and upper limits as you want to calculate the integral. 3. The integral value is displayed, and the integrated area is a drawing. Use ClrDraw (Chapter 8) or any action that invokes Smart Graph to the same x-value for other selected functions, press } or †. TI-83 Plus Function Graphing 153 Select 7:‰f(x)dx from the CALCULATE menu...
Set lower and upper limits as you want to calculate the integral. 3. The integral value is displayed, and the integrated area is a drawing. Use ClrDraw (Chapter 8) or any action that invokes Smart Graph to the same x-value for other selected functions, press } or †. TI-83 Plus Function Graphing 153 Select 7:‰f(x)dx from the CALCULATE menu...
User Manual
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...graphically. TI-83 Plus Activities 579 The solution is displayed, and the value of X at the intersection, which is the lower limit of the display. Press y < 7 and use Shade( to the home screen. Enter the expression to the home screen. Press y 5 to go to evaluate the integral for ...the intersection toward the left side of the integral, is displayed. fnInt(Y1-Y2,X,Ans,75) The area is 325.839962. Press y / 5 to select 5:Intersect. 4. Shade(...
...graphically. TI-83 Plus Activities 579 The solution is displayed, and the value of X at the intersection, which is the lower limit of the display. Press y < 7 and use Shade( to the home screen. Enter the expression to the home screen. Press y 5 to go to evaluate the integral for ...the intersection toward the left side of the integral, is displayed. fnInt(Y1-Y2,X,Ans,75) The area is 325.839962. Press y / 5 to select 5:Intersect. 4. Shade(...
User Manual
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Set the viewing window. Press p. Select the default settings. 2. Xmin=.01 Ymin=M1.5 Xres=3 Xmax=10 Ymax=2.5 Xscl=1 Yscl=1 TI-83 Plus Activities 584 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.
Set the viewing window. Press p. Select the default settings. 2. Xmin=.01 Ymin=M1.5 Xres=3 Xmax=10 Ymax=2.5 Xscl=1 Yscl=1 TI-83 Plus Activities 584 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.
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... Y3 to ç (line) and Y4 to ë (path). 4. Turn off all functions and stat plots. Press r. TI-83 Plus Activities 585 Turn off Y1 and Y2, and then enter the numerical derivative of the integral of the two graphed functions, Y3 and Y4. Set the graph style for Y1 to ç (line) and... the function 1àX. Press r. Press o. Again, use the cursor keys to compare the values of 1àT from 1 to X and the function ln(X). Enter the numerical integral of Y1 and Y2. 5.
... Y3 to ç (line) and Y4 to ë (path). 4. Turn off all functions and stat plots. Press r. TI-83 Plus Activities 585 Turn off Y1 and Y2, and then enter the numerical derivative of the integral of the two graphed functions, Y3 and Y4. Set the graph style for Y1 to ç (line) and... the function 1àX. Press r. Press o. Again, use the cursor keys to compare the values of 1àT from 1 to X and the function ln(X). Enter the numerical integral of Y1 and Y2. 5.
User Manual
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... each element in matrixname. Returns the value of variable where the local minimum of expression with respect to each element in listname. Returns the function integral of expression occurs, between lower and upper, with specified tolerance. Fix # Sets fixed-decimal mode for # of expression occurs, between lower and upper, with specified.../Item y > MATH 4:Fill( y 9 OPS 4:Fill( † 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
... each element in matrixname. Returns the value of variable where the local minimum of expression with respect to each element in listname. Returns the function integral of expression occurs, between lower and upper, with specified tolerance. Fix # Sets fixed-decimal mode for # of expression occurs, between lower and upper, with specified.../Item y > MATH 4:Fill( y 9 OPS 4:Fill( † 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
User Manual
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... 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 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...
... 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 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...
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
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...-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
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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-...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...
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-...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...
User Manual
Page 777
... 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 numerical integral interest rate conversions 4Eff( (compute effective interest rate), 459 4Nom( (compute nominal interest rate), 459...), 426, 668 iPart( (integer part), 80, 273, 668 irr( (internal rate of , 16 int( (greatest integer), 81, 273, 668 integer part (iPart(), 80, 273, 668 integral. keyboard layout, 2 math operations, 63 774 See 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 numerical integral interest rate conversions 4Eff( (compute effective interest rate), 459 4Nom( (compute nominal interest rate), 459...), 426, 668 iPart( (integer part), 80, 273, 668 irr( (internal rate of , 16 int( (greatest integer), 81, 273, 668 integer part (iPart(), 80, 273, 668 integral. keyboard layout, 2 math operations, 63 774 See stat tests;
User Manual
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... or (Boolean) operator, 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... (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, 153 -O-
... or (Boolean) operator, 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... (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, 153 -O-