Let X ~ Gamma (8, 2) . Then E |[X²] is equal to

Q: Directions: Differentiate the following functions. 5.) y = In(x* + 5) 6.) f(x) = x*e3% %3D

A: 5)y=lnx4+56) fx=x4e3xTo find its differentiation

Q: what is a function that takes the same value as im(z) on  γ(0;1)

A: We are to find out the function that takes the same value as im(z) on γ(0;1)   There are many…

Q: Let f(x) = (ax − 1) / ( ax + 1) for a > 0, a ≠ 1. Show that f has an inverse function. Then find…

A: For a function to have a inverse , it has to be one to one function. This means that for every input…

Q: Let f(x) = 3x + 1, x, = -1, x, = 0, x3 = 1, x4 = 2, and X5 = 3. Find E f(x,).

A: we have the given the following details   f(x)=3x+1x1=-1x2=0x3=1x4=2x5=3We have to find∑i=15f(xi)

Q: Evaluate (a) r(-7/2). (b) r(-1/3). Ans. (a) (16 J)/ 105. (b) - 3r(2/3)

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Q: Vz²+1 ev° dy In a

A:

Q: of Find (1.-7) if f(x.y) = 2x2 + 4xy - 5y? + 4x - 9y - 9. dx of (1, -7)-O (Simplify your answer.)

A:

Q: If f(x) is a pdf, then f(x) can take any value in R (i.e., f(x) can be any real number). O True…

A: We have given that the statement about to the probability density function (pdf) f(x).

Q: Evaluate: √ye dx By using Gamma function. is

A: I have given the answer in the next step. Hope you understand that

Q: The function f(x) = Ei-1 Cix;| is piecewise linear and convex. True O False

A: Step:- 1 Convex piece-wise Linear: - A function f: ℝn→ℝis a convex piece-wise linear if there exist…

Q: Find the derivative [ x ] dt O O O O

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Q: If f is the linear function f = 3x - 1, what is the value of ? dx

A: Given: f(x)=3x-1 To find out: df/dx

Q: Let f(x.y) = In ( x2 + y ). If f,(2,a)=f,(- 1, 2), what is the value of a? O a. 6 O b.3 O. 7 O d. 8…

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Q: a. Suppose that ƒ(x) = g(x³) + eg(3x) where g' and g" exist. Find f' and f" in terms of g' and g".…

A: Here we have given a composition of a function as given below.

Q: Subject 0/ Pind thederivatine of the fa (at1)ca+2) Ca-l) Ca-2)

A: First simplified then differentiated

Q: Let f(x) = = a) 9x +4 following. Simplify if possible. f(x) = f(a) a - X = . Evaluate the 4 A' for x…

A: The given function fx=x9x+4. We have to simplify the expression fx-fax-a and find the value of A.

Q: ssuming that f(x) is of the form A - B², write an expression for f(x): x) =

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Q: From a calculus perspective, a monotone function is a function whose derivative never changes sign.…

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Q: 1. Prove with the usual notations that: (b) A + V =- (a) EV = VE = A (c) A= SEZ

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The function, f(x), in the graph below has f(1) = 1 and f'(1) = 2. Which of the following are the…

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Q: 8. Consider the functions f : (4, 0) → R where f(x) = sin x and g : (-12,3) → R where g(x) = |x +…

A: Solution