If f(x) = xe , x >0 and (Y = ln(X)), then the PDF of Y is %3D (In(1)² (In(y))e ye

Q: In (x) (#3) S@ dx

A: Consider the given integration as Use the formula of integration as

Q: A function y = f(x) with the property that y = y'= y" is %3D

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Q: nd the fest and second derivatives of y= 14e"

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Q: Find the derivative of f(x) = log, (x° + x – 1). %3D 2 + x - 1 f (2) = %3D (3z* + 1) (In 2) (3z +1)…

A: Given:     fx=log2x3+x-1

Q: If h(a) = h(b), then what is the value of a b g(h(x))h' (x)dx

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Q: second derivatives of f(x.y) = (x+y) e.

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Q: 1. Find the derivatives of each of these functions: a. y = ln (4x² + 4) b. y = 22² c. y = 25x+7…

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Q: If h(a) = h(b), then what is the value of ·b [ g(h(x))h' (x)dx

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Q: -1)/(x4))1/2

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Q: C) Find the derivative of y= (1+ x²)* D) Find the derivative of f(x) = log3 5x? + 1

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Q: d²y + 49 + 4y = 0, y(0) = 3, dy (0) = 1 %3D %3D %3D dx2 dx dx

A: Given differential equation is second order, homogeneous linear differential equation with constant…

Q: Find the derivative of the following exponential functions: ans. y' = -4e-4x 1. y = e-4x ans. y' =…

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Q: Find d when y = 3 In(In(In(x))) dy dx

A: Here we can find the derivative as below

Q: Sln(x²)dx=

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Q: Differentiate. g(t) = 14t g'(t) =

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Q: dy dx (a) y = secr 2. Find (d) y = lnx (g) y = csc x

A: All the given derivatives are standard derivative result. Here we solve the derivatives using basic…

Q: 1. Use algebraic manipulation and (if necessary) u-substitu- tion to integrate the function. (a) /…

A: Hey, since there are multiple questions posted, we will answer the first three subparts of the…