Solve for the derivative of the following composite functions. f(g(x)) = (x+ 4)* 2 f(9(x)) = (2x2 + 3r – 5)7 3 f(g(x)) = (3x – 1)25 f(9(x)) = (3x2 – 2.x + 4)® f (g(x)) = (x)(x² + 3)? 1. - - 3. - 4. 5.

Q: Exercises: Imaginary Roots of Auxiliary Equations Solve the equations 1) (D2 – 2D + 5)y = 0 %3D 2)…

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A: ∂xn∂x=nxn-1

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A: As per Bartley guidelines we are supposed to answer only one question per post.  This post contains…

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A: We have to test convergence

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A: find the area under the curve

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A: we have to find the indefinite integral

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A: Find curl

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A: A detailed solution is given below

Q: dy + 2ху dx %3D

A: integrating factor method.

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A: Given; parabola y=4-x^2

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A: The given differential equation,4. D3+36D2y=05. D3+1002y=0

Q: e the initial value problems with initial conditions y' = y – 1 @ yo = 0 b. у %3D et- 1 а. у%3 у?— 1…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: = (7, –2) am

A: Given; u=<7,-2>            v=<-4,5>

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A: Topic:- derivatives

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A: Solved below

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A: Given:      Let u=x+7y              v=x-y Subtracting v=x-y from u=x+7y, we get…

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A: Given: x=4y, x=-4y, y=1   From the given curves the bounded region is as shown below;

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A: To find the solution of the given initial value problem.

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A: We will do partial differentiation to find maximum or minimum point

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A: Solution is given below..

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A: A detailed solution is given below

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A: We have to solve above question and find true or false

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A: Solve it

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A: topic- differential equation

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A: We have to find derivative of given function.

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