Calculate E((X +Y)²).

Q: Sze*2dx = 1. This is a difficult integral to compute by standard methods (there's a neat trick…

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Q: Find the function f (x) for which f (x) = e-5x, f (0) = 1.

A: A function is a relation which maps each value in its domain to exactly one value in its range. For…

Q: Suppose E(X) = 2, E(Y) = 18, a = 0.05, and b = 0.95. What is E(aX+bY)? (Please round to two decimal…

A: Given, E(X) = 2, E(Y) = 18, a = 0.05, and b = 0.95

Q: Find f(x).

A: Given,

Q: Given h(x) = (-x² – 2x – 2), find h' (0)-

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Q: E(X)=5 and E(Y)=8 What is E(X+4Y)?

A: From the properties of expectation:-EaX+bY=aEX+bEY

Q: g(x)dx = (5x? +2)° +C

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Q: Let h(x)=f(g(x)). If f(−4)=−3, f′(−4)=−1, g(1)=−4, and g′(1)=3, find h′(1).

A: The formula one have to use here is f(g(x))'=f'(g(x))* g'(x)

Q: Let f(1) = 2 and f (1) = 3. Suppose g(x) = [f(x)²=]. Calculate g' (1). %3D %3D

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Q: Rewrite the given function F(x) dt as %3D F(x) %D -2t dt.

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Q: Let h(x)=−2x2+x+4x2+4x−1, what is h′(−5)?

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Q: et h(x)=f(g(x)). If g(−2)=3, g′(−2)=−1, f(3)=−5, and f′(3)=−6, find h′(−2).

A: Given function is : hx=fgxg-2=3g'-2=-1f3=-5f'3=-6   To find the value of h'-2

Q: Given f(x) dx 8 a

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Q: The marriage rate in a certain country in 1990 was 0.95%, and there were about 351,000 marriages…

A: 1990 corresponds to t=0 So, M0= 351000 And r= 0.95% = 0.0095 So the model is:

Q: etermine the intervals where the function f(x) = x 2 e −x is increasing and where it is decreasing

A: Determine the intervals where the function f(x) = x 2 e −x is increasing and where it is…

Q: If h(x)=6ex−5, find h′(x).

A:

Q: Suppose E(X) = 62, E(Y) = 91, a = 0.38, and b = 0.62. What is E(aX+bY)? (Please round to two decimal…

A: E(X) = 62, E(Y) = 91, a = 0.38, and b = 0.62.E(aX+bY)=aE(x)+bE(y)