the boundar] Va lue Problem Y+2Y'+X (I-Y)=7 Solve Y()=2, Y 2) – Y(2)=0 ,hzo.5 us ing the Finite difference method is i (a) Y= 3.6 ,92=5.95 (b) Y; =8.6»Y% = 9-95 (c) Yi=0.6 sY½=0.95

Q: At which iteration shows that the root of a nonlinear equation is Xr = 1.2021 when a = 2 and b = -1…

A: We need to find at which iteration shows that the root of a nonlinear equation is Xr = 1.2021 when a…

Q: d. yy'- y = 6 e*, y(0) = 1 %3D е. %3D %3D

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Q: * +(x) = 3x6-4 (x-k)² +17, the value of the parameter k for f(x) to be a function pair IS?

A: For f(x) to be a function pair  it needs to be one-to-one, which means that each input value must…

Q: Find the general solution of y + (1/3)y = e"y Show your solutions on a separate sheet of paper. A…

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Q: 3) f(x) =9x/チxー3 %3D

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Q: Find f'(2), if f(x) = In(2x³ – 3x).

A: Given,          fx=ln2x3-3x

Q: 1. у %3D х+/x

A: Topic = Derivative As per guidelines , At  a time only one question can be answered out of different…

Q: For the difference equation given by y(k +2) - y(k + 1) + 2y(k) = 2* with y(1) = y(0) = 0 Find the…

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Q: f(x)= (x+2)² (x - 1) f'(x) = 3x(x+2) %3D f"(x) = 6x +6 %3D

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Q: y y' + (2х + 3у) = 0 y(x) = ? =>

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Q: х+1 23. у %3 х — 1

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Q: x' y' 7x + 6y ||||

A: We have to find the value of x(t) and y(t).

Q: (6x* +9x +4)5 h(x) = + 9x + %3D 5x-3-6x +6 h'(x) = || %3D

A: Given that     h(x) = [(6x4+9x+4)2/3]/(5x-3-6x+6) We have to find the derivative of h(x).

Q: Find g' (6) given that f(6) = = 3 andf'(6) = 6. Enter the exact answers. (a) g(x) = 7x- 6f(x) g'(6)…

A: The given problem is to find the value of g'(6) for the given 2 functions  we are given with other…

Q: y' = {] 4-6 3-2 y, y(0) = 5 [5 2

A: y'=4-63-2yy0=52

Q: Find g' (5) given that f(5) = – 3 and f' (5) = 6. Enter the exact answers. (a) g(x) = 6x² – 5f(x) g'…

A: (a) The given expression of the function is: g(x)=6x2-5f(x)      ...(1) Given, f(5)=-3 ; f'(5)=6

Q: (a) Write out the regression model if 2.9705 -4.0042E-2 -4.1679E-2 (X'X) =-0.04004 6.0774E-4…

A: Reviewing information, given computer output

Q: 2x³y' = y(y² + 3x²) a. y-2x2 -x +c b. yx3 -x + c C. y2x x3 -x+c d. y'x2 = -x +c

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Q: Find the solution to y - x+t y' = y if r(0) = 5 and y(0) = 4. %3D

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Q: Find the general solution of ydy/dx =2/(3x2). O a. y?/2 = 2/3x + C O b. y? = -4/3x+C O c. y/2 =…

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Q: Find the maximum of f(x) = 30x4 − 121x3 + 60x2 + 64x USING Newton’s method (x0 = 4, εs = 1%)

A: Given, fx=30x4-121x3+60x2+64x With initial point, x0=4 Differentiating the given equation up to…

Q: The total cost in dollars of producing x coffee makers is C(x) = 2500 + 30x — . Find the exact cost…

A: The total cost in dollars of producing x coffee makers is Cx=2500+30x-x25

Q: y-5y't 4y =O x10)-5 y'l0)=2

A: We have to find the particular solution of the initial value problem…

Q: Find g' (3) given that f(3) = – 5 and f' (3) = 10. %3D Enter the exact answers. (a) g(x) = 4x² –…

A: Given,           f3=-5 and f'3=10

Q: 50s d. F(s) = (s + 1)²(s² + 4s + 13)

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Q: 6) а. Find dx if y%3 (n(x + Aj) - А2 х) (/5 В, - 7х) А131 A2=5 В1-4 B2=6 В3-2 DA-1

A: The given function is y = [ln (x + A1) – A2 x] (√5B1 – 7x). The given values are A1 = 1, A2 = 5 and…

Q: y" + 3 y" + 2 y = (x+ 1)e²". %3D

A: We have to find general solution of given differential equation.

Q: Find g' (5) given that f(5) = - 4 andf' (5) = 8. Enter the exact answers. (a) g(x) = 6x² – 5f(x)…

A: We know that; The Power Law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-f·g'g2   (a). Given: gx=6x2-5fx

Q: Find g' (3) given that f(3) = - 5 and f' (3) = 10. %3D Enter the exact answers. (a) g(x) = 4x² –…

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Q: Evaluate the integral. -1 4 6y5 dy + -2

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Q: Find the maximum of f(x) = 30x4 − 121x3 + 60x2 + 64x USING Newton’s method (x0 = 4, εs = 1%)

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Q: Given "(1) = 9x + 2 (1),.. and f'(0) = - 5 and f(0) = Find f'(x) = und find f(3) =

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