Given the functions f(x) = g(x) = 2 x – 2' x - 2 determine (f • g)(x). Show your solutions in the solution sheet which will be uploaded to the submission bin.

Q: (x- 2x +3)e-° dx.

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A: We have to use integration by parts .

Q: 3.Using simple fixed-point iteration, determine the root of the equation f(x)= sin (Vx)–. X, = 0.5…

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Q: Find the general solution for y''=2t+3 by direct integration and by the method of undetermied…

A: Given that      y" = 2t + 3 Here we have to find the general solution by direct integration and by…

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A: By see this solution below

Q: Solve using method of variation of parameters. 6. y" + 3y' + 2y sin(e*)

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Q: f '(x) = 10x9,  what is f(x)? (Use C for the constant of integration.)

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Q: Solve dy りー! り(-)ニ。 dx ス+3 © xy! =1+X

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Q: Solve cot x-v3 =0 over [0,2t)

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Q: Solve the differential equaton 2x2dy=(x+y)2dx

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Q: 8x 4х Q5. Use integration by part to evaluate fe* sin (e** )dx

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Q: f (x) = y = x³ +x– 10 = 0

A: Using Newton raphson method.

Q: Find the roots at x = 3 of function f(x) = tanh (x² – 9) with an initial guess xo = 3.2 in three…

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Q: f f(x) = ex – e-x – 2x and g(x) = x – sinx, evaluate the limit of f(x)/g(x) as x approaches zero.…

A: Here we have, f(x)=ex-e-x-2x and g(x)=x-sinx We have to evaluate limx→0f(x)g(x)=?

Q: ln (x−4) + ln (x+1) = ln (x −8

A: We can use properties of log to slove the given problem. If we have  ln x + ln y Then we can write…

Q: 7x + 29 dx (x + 3)(x + 5)

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Q: · Use Euler's Method to solve the following problem over the interval from x = 0 to 1.0 using a step…

A: from Euler' method: yn+1=yn+hfxn,yn Where, y'=fx,y=2+3xy  0≤x≤1 and y0=1

Q: The integrating factor of the non exact DE ydx-xdy=- is -1/x^2, show your solution

A: We have to find

Q: dx 15. S (x²+36) ³/2

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Q: Q2// Use Euler's method (with all details) to find approximate value of y when x = 3 of = 2y-2x²-3,…

A: The Given initial value problem is: dydx=2y-2x2-3, y(0)=2, h=0.3 To find: y(3) using Euler's…

Q: solve homogeneous equation by linear method Tanx(dy/dx) + y = sec x

A: SOLUTION-

Q: Find the x-value where the maximum value of y=sinx−7x^2 occurs. When you need to solve for an…

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Q: sin x e" dx Cos x

A: To evaluate the given integral.

Q: 3 (x²+2)

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Q: Find the solution of the DE using reduction Order (D2 + 4)y = sinx

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Q: Calculate the integration y+1 dydx

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Q: . Approximate the value of V65 by Newton-Raphson method letting xo = 5.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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A: According to the fundamental theorem of algebra, every algebraic equation has a root. If the…

Q: Find a root of an equation f(x) = 0.842x²-x+ 0.2 using Newton Raphson method

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Q: Use the method of Variation of Parameters to solve. SHOW WORK. у" - у' — 2у %3D 2е-t

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Q: Numerically integrate f (x) = x° +3x + 4x – 6 from a = 1 and b = 2 using Single-Trapezoidal Rule…

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Q: 8 dx I (x – 2)(x +6)

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Q: Use the variation of parameters method to solve y" + y = secx.

A: A differential equation is given. We need to solve it by variation of parameters.

Q: Use Euler's method (with all details) to find approximate value of = 2y - 2x² -3, given that y = 2…

A: Given: y'=2y-2x2-3, y(0)=2, h=0.3. The objective is to evaluate y(3) by using Euler's method. The…

Q: Determine the general solution of y" + y = tanx using variation of parameters

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Q: Use variation of parameters method to solve b. y" + y = tan x

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Q: Approximate fls 3 + 2x* using Simpson's rule (n=6), then find the percentage of error after…

A: nhbgk

Q: y

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Q: x e* dx

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Q: (B): Find the integration by using substitution method √x√2x-1 dx

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Q: x sin x dx = log y dy %3D

A: Let's find.

Q: Using integrating factor, solve dy/dx + 4/x . y = x

A: topic. - differential equations