Software User Guide
Page 20
...) input. Function/Symbol Fraction (Improper) Mixed Fraction*1 Power Square Negative Power (Reciprocal) ' Cube Root Power Root e x 10x log(a,b) Abs (Absolute Value) First Derivative Second Derivative Integral*3 Σ Calculation*4 Matrix Key Operation v !v(&) M x !)(x -1) !x(') !((3') !M(x') !I(ex) !l(10x) (Input from MATH menu*2) (Input from MATH menu*2) (Input from MATH menu*2) (Input from MATH menu*2) (Input from...
...) input. Function/Symbol Fraction (Improper) Mixed Fraction*1 Power Square Negative Power (Reciprocal) ' Cube Root Power Root e x 10x log(a,b) Abs (Absolute Value) First Derivative Second Derivative Integral*3 Σ Calculation*4 Matrix Key Operation v !v(&) M x !)(x -1) !x(') !((3') !M(x') !I(ex) !l(10x) (Input from MATH menu*2) (Input from MATH menu*2) (Input from MATH menu*2) (Input from MATH menu*2) (Input from...
Software User Guide
Page 21
... first derivative d dx f(x)x = a} • {d2/dx2} ... {starts natural input of second derivative d2 dx2 f(x)x = a} b • {∫dx} ... {starts natural input of integral f(x)dx } a β starts natural input of matrices, derivatives, integrals, etc. • {MAT} ... {displays the MAT submenu, for a 2 × 2 matrix. u Using the MATH Menu In the Run-Matrix mode, pressing 4(MATH...
... first derivative d dx f(x)x = a} • {d2/dx2} ... {starts natural input of second derivative d2 dx2 f(x)x = a} b • {∫dx} ... {starts natural input of integral f(x)dx } a β starts natural input of matrices, derivatives, integrals, etc. • {MAT} ... {displays the MAT submenu, for a 2 × 2 matrix. u Using the MATH Menu In the Run-Matrix mode, pressing 4(MATH...
Software User Guide
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... Fraction v Power ' Cube Root Power Root e x 10x log(a,b) Absolute Value M !x(') !((3') !M(x') !I(ex) !l(10x) 4(MATH)2(logab) 4(MATH)3(Abs) First Derivative 4(MATH)4(d/dx) Expression After Insertion Second Derivative Integral Σ Calculation 4(MATH)5(d2/dx2) 4(MATH)6(g) 1(∫dx) 4(MATH)6(g) 2(Σ( ) • In the Linear input/output mode, pressing !D(INS) will change to the insert mode...
... Fraction v Power ' Cube Root Power Root e x 10x log(a,b) Absolute Value M !x(') !((3') !M(x') !I(ex) !l(10x) 4(MATH)2(logab) 4(MATH)3(Abs) First Derivative 4(MATH)4(d/dx) Expression After Insertion Second Derivative Integral Σ Calculation 4(MATH)5(d2/dx2) 4(MATH)6(g) 1(∫dx) 4(MATH)6(g) 2(Σ( ) • In the Linear input/output mode, pressing !D(INS) will change to the insert mode...
Software User Guide
Page 48
... UP) ff 1(Fix)dwJw 200/7w * 14w Display 400 400.000 28.571 Ans × I 399.980 • You cannot use a first derivative, second derivative, integration, Σ, maximum/minimum value, Solve, RndFix or logab calculation expression inside of decimal places specified on the Setup screen. Display 16.66666667 16.666*71...
... UP) ff 1(Fix)dwJw 200/7w * 14w Display 400 400.000 28.571 Ans × I 399.980 • You cannot use a first derivative, second derivative, integration, Σ, maximum/minimum value, Solve, RndFix or logab calculation expression inside of decimal places specified on the Setup screen. Display 16.66666667 16.666*71...
Software User Guide
Page 49
... calculate the parts of a formula in the following order: 1 Type A functions • Coordinate transformation Pol (x, y), Rec (r, θ) • Functions that include parentheses (such as derivatives, integrations, Σ, etc.) d/dx, d2/dx2, ∫dx, Σ, Solve, FMin, FMax, List→Mat, Fill, Seq, SortA, SortD, Min, Max, Median, Mean, Augment, Mat→...
... calculate the parts of a formula in the following order: 1 Type A functions • Coordinate transformation Pol (x, y), Rec (r, θ) • Functions that include parentheses (such as derivatives, integrations, Σ, etc.) d/dx, d2/dx2, ∫dx, Σ, Solve, FMin, FMax, List→Mat, Fill, Seq, SortA, SortD, Min, Max, Median, Mean, Augment, Mat→...
Software User Guide
Page 70
... can be performed. • {Int÷}/{Rmdr}/{Simp} ... {quotient}/{remainder}/{simplification} • {Solve}/{d/dx}/{d2/dx2}/{∫dx}/{SolveN} ... {equality solution}/{first derivative}/{second derivative}/{integration}/{f(x) function solution} • {FMin}/{FMax}/{Σ(}/{logab} ... {minimum value}/{maximum value}/{summation}/{logarithm logab} k Quotient of Integer ÷ Integer [OPTN]-[CALC]-[Rmdr] The "Rmdr" function...
... can be performed. • {Int÷}/{Rmdr}/{Simp} ... {quotient}/{remainder}/{simplification} • {Solve}/{d/dx}/{d2/dx2}/{∫dx}/{SolveN} ... {equality solution}/{first derivative}/{second derivative}/{integration}/{f(x) function solution} • {FMin}/{FMax}/{Σ(}/{logab} ... {minimum value}/{maximum value}/{summation}/{logarithm logab} k Quotient of Integer ÷ Integer [OPTN]-[CALC]-[Rmdr] The "Rmdr" function...
Software User Guide
Page 74
... the value currently assigned to determine the derivative. extreme changes in x values - first derivative calculation results approaching zero • Always use a first derivative, second derivative, integration, Σ, maximum/minimum value, Solve or RndFix calculation expression inside a first derivative calculation term. 2-28 inclusion of the value a. dw Using First Derivative Calculation in...
... the value currently assigned to determine the derivative. extreme changes in x values - first derivative calculation results approaching zero • Always use a first derivative, second derivative, integration, Σ, maximum/minimum value, Solve or RndFix calculation expression inside a first derivative calculation term. 2-28 inclusion of the value a. dw Using First Derivative Calculation in...
Software User Guide
Page 76
...]-[CALC]-[∫dx] To perform integration calculations, first display the function analysis menu and then input the values using the syntax below , with a tolerance of "tol" = 1E - 4 ∫ 5 (2x2 + 3x + 4) dx 1 ...(CALC)4(∫dx) f(x) , a , b , tol ) (a: lower limit, b: upper limit, tol: tolerance) ∫ ∫ ( f(x), a, b, tol) ⇒ b f (x)dx a ∫b Area of the shaded area in the illustration above, integration calculations are performed by calculating integral values from a through b for the function shown below . b,f,bE-e)w 2-30 Example To perform the...
...]-[CALC]-[∫dx] To perform integration calculations, first display the function analysis menu and then input the values using the syntax below , with a tolerance of "tol" = 1E - 4 ∫ 5 (2x2 + 3x + 4) dx 1 ...(CALC)4(∫dx) f(x) , a , b , tol ) (a: lower limit, b: upper limit, tol: tolerance) ∫ ∫ ( f(x), a, b, tol) ⇒ b f (x)dx a ∫b Area of the shaded area in the illustration above, integration calculations are performed by calculating integral values from a through b for the function shown below . b,f,bE-e)w 2-30 Example To perform the...
Software User Guide
Page 77
... b c b f(x)dx = f(x)dx + (- f(x)dx) a a c Positive part (S) Negative part (S) (2) When minute fluctuations in integration divisions produce large fluctuations in integration values, calculate the integration divisions separately (divide the large fluctuation areas into smaller divisions), and then add the results together. b x1 x2 b f(x)dx = f(x)dx... + f(x)dx +.....+ f(x)dx a a x1 x4 • Pressing A during calculation of an integral (while the cursor is not shown on the display) interrupts the calculation. • Always use radians (Rad mode) as the...
... b c b f(x)dx = f(x)dx + (- f(x)dx) a a c Positive part (S) Negative part (S) (2) When minute fluctuations in integration divisions produce large fluctuations in integration values, calculate the integration divisions separately (divide the large fluctuation areas into smaller divisions), and then add the results together. b x1 x2 b f(x)dx = f(x)dx... + f(x)dx +.....+ f(x)dx a a x1 x4 • Pressing A during calculation of an integral (while the cursor is not shown on the display) interrupts the calculation. • Always use radians (Rad mode) as the...
Software User Guide
Page 78
... specified variable values you might need later before you omit "tol," the calculator automatically uses a default value of 1E-5. • Integration calculations can take a long time to that variable is fixed at 1E-5 and cannot be changed. k Σ Calculations [OPTN]-[...CALC]-[Σ(] To perform Σ calculations, first display the function analysis menu, and then input the values using the syntax below. Integration Calculation Precautions • In the function f(x), only X can be used as the distance between partitions. AK4(CALC)6(g)3(Σ( )a,(K) x-da,(K)+fe ...
... specified variable values you might need later before you omit "tol," the calculator automatically uses a default value of 1E-5. • Integration calculations can take a long time to that variable is fixed at 1E-5 and cannot be changed. k Σ Calculations [OPTN]-[...CALC]-[Σ(] To perform Σ calculations, first display the function analysis menu, and then input the values using the syntax below. Integration Calculation Precautions • In the function f(x), only X can be used as the distance between partitions. AK4(CALC)6(g)3(Σ( )a,(K) x-da,(K)+fe ...
Software User Guide
Page 79
... interrupt an ongoing Σ calculation (indicated when the cursor is not on the display), press the A key. • You cannot use a first derivative, second derivative, integration, Σ, maximum/minimum value, Solve or RndFix calculation expression inside of interval, n: precision (n = 1 to 9)) Example Input f (x). u Minimum Value K4(CALC)6(g)1(FMin) f (x) , a , b , n ) (a: start point of interval...
... interrupt an ongoing Σ calculation (indicated when the cursor is not on the display), press the A key. • You cannot use a first derivative, second derivative, integration, Σ, maximum/minimum value, Solve or RndFix calculation expression inside of interval, n: precision (n = 1 to 9)) Example Input f (x). u Minimum Value K4(CALC)6(g)1(FMin) f (x) , a , b , n ) (a: start point of interval...
Software User Guide
Page 80
... the range of 1 to 9 for the value of n. Using any value outside this range causes an error. • You cannot use a first derivative, second derivative, integration, Σ, maximum/minimum value, Solve or RndFix calculation expression inside of Ƨ depends on the angle unit set for the Angle item on pages 2-1 to...
... the range of 1 to 9 for the value of n. Using any value outside this range causes an error. • You cannot use a first derivative, second derivative, integration, Σ, maximum/minimum value, Solve or RndFix calculation expression inside of Ƨ depends on the angle unit set for the Angle item on pages 2-1 to...
Software User Guide
Page 186
... a function menu that now appear are rounded. Maximum value of two graphs 6(g)1(Y-CAL) ... Intersection of the graph 3(MIN) ... Integration value between the two or more of tangency with the Rnd value. 4. This causes the V-Window settings to obtain solutions. - When...the solution obtained is an inflection point 5-54 Minimum value of the following information. !5(G-SOLVE)1(ROOT) ... Integration value for a given x-coordinate 6(g)2(X-CAL) ... Integration value between the two or more intersections of two graphs • Either of the graph 4(Y-ICEPT) ... ...
... a function menu that now appear are rounded. Maximum value of two graphs 6(g)1(Y-CAL) ... Intersection of the graph 3(MIN) ... Integration value between the two or more of tangency with the Rnd value. 4. This causes the V-Window settings to obtain solutions. - When...the solution obtained is an inflection point 5-54 Minimum value of the following information. !5(G-SOLVE)1(ROOT) ... Integration value for a given x-coordinate 6(g)2(X-CAL) ... Integration value between the two or more intersections of two graphs • Either of the graph 4(Y-ICEPT) ... ...
Software User Guide
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...limit pointer to the location you want to use as the lowermost side of the integration region, and then press w. 4. Example Graph the function shown below, and then determine the integral value at the leftmost root currently on the graph screen. • If there ...move the pointer to the root you want . 6. u To calculate the integral value for a given range Use the following procedure to obtain integration values for rectangular coordinate graphs only. Draw a graph. 2. Press w to calculate the integral value. If there are multiple graphs on the graph screen, one root ...
...limit pointer to the location you want to use as the lowermost side of the integration region, and then press w. 4. Example Graph the function shown below, and then determine the integral value at the leftmost root currently on the graph screen. • If there ...move the pointer to the root you want . 6. u To calculate the integral value for a given range Use the following procedure to obtain integration values for rectangular coordinate graphs only. Draw a graph. 2. Press w to calculate the integral value. If there are multiple graphs on the graph screen, one root ...
Software User Guide
Page 190
... display, the message "Not Found" will appear. Use e to move the pointer to the intersection point you want to calculate the integral value and area value. u To obtain the integration value and area value between two or more intersection points of two graphs 1. In this case, press J. 3. Example To graph Y...value for the region between the root of the minus value nearest the origin and the root of the plus value nearest the origin Integration value Area value • If there are 21 or more intersections between the two points of intersection you specify, an error will occur. ...
... display, the message "Not Found" will appear. Use e to move the pointer to the intersection point you want to calculate the integral value and area value. u To obtain the integration value and area value between two or more intersection points of two graphs 1. In this case, press J. 3. Example To graph Y...value for the region between the root of the minus value nearest the origin and the root of the plus value nearest the origin Integration value Area value • If there are 21 or more intersections between the two points of intersection you specify, an error will occur. ...
Software User Guide
Page 245
...; +∞ f (x)dx = p Lower ∫ Upper f (x)dx = p Lower Tail:Left upper boundary of integration interval Tail:Right lower boundary of integration interval Tail:Central upper and lower boundaries of integration interval Specify the probability and use this formula to obtain the integration interval. • This calculator performs the above calculation using the following: ∞ = 1E99...
...; +∞ f (x)dx = p Lower ∫ Upper f (x)dx = p Lower Tail:Left upper boundary of integration interval Tail:Right lower boundary of integration interval Tail:Central upper and lower boundaries of integration interval Specify the probability and use this formula to obtain the integration interval. • This calculator performs the above calculation using the following: ∞ = 1E99...