(a) Show that the mgf of X is (b) Find E(X) and Var(X). Mx (t): [if t‡0, if t = 0

Q: e Gren that f(x) = and g(x) = vx + 5, find the composite function (f gz) a f•g)(x) = 2-7 b. f•9)(x)…

A: Given data

Q: Find f(x).

A: Given,

Q: iff.g,h becontinuous functions on [0,a]such that and sh(x)-4h(a - x)=5, then provw that…

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Q: Find the MRSxy of the utility function U=In(x)+y.

A:

Q: Let f(x) = ln x and g(x) Show that f(x) and g(x) are both increasing when x > 0. Vr.

A: Given, f(x) = lnx When f(x) is increasing then f'(x) > 0  Differentiating f(x) with respect to x…

Q: Graph the function h: Z→Z, defined by h(x)=| 3

A: Graph of the function

Q: = f(x) = (4x – 2)(x² – 3). F %3D

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Q: Suppose f: R → R is a function such that for all x, y ≤ R, f(x + y) = f(x) + f(y) and f(xy) =…

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Q: Find y as a function of t if with y(0) 9, /(0) = 5. y A 10000-81y=0

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Q: A law firm decided to run study on their employees. Their researcher put together the following…

A: Given :-A law firm decided to run study on their employees. Their researcher put together the…

Q: Find F as a function of x and evaluate it at x = 2, x = 5 and x = 7. F(x) F(2) F(5) F(7) F(x) = = L²…

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Q: If f(x) = x√(x+3) and a=2, find (f-1)'(a). f is a one to one function

A:

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: Find

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Q: .e- P(x)= %3D 1. Let and let =10. Find P(9)

A: Find the value of P(x) at x=9

Q: Calculate L6 for f(x) = V9x + 3 over [1,3]. (Give your answer to three decimal places.)

A: Find the approximation L6 for the function fx=9x+3 over [1,3].

Q: Calculate M6 for f(x) = 5 · In(æ³) over [1, 2].

A: Given:   f(x)=5.ln(x3) over [1,3]

Q: Using a calculator or computer, sketch the graph of f for k = 1/9, 1/6, 1/3, 1/2, 1, 2, 4. Describe…

A: Given:     f(x) = e5x - kx    k = 1/9 , 1/6 , 1/3 , 1/2 , 1 , 2 , 4

Q: f(x ) = x2 g(x) = [ x/21 Select the correct value for f• g(- 3/2). O a.-1 O b.0 Ос. 1 O d. 3

A:

Q: Calculate L6 for f(x) = v9x + I over [1,3]. (Give your answer to three decimal places.)

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is

Q: For the PMF Px(x) = { 2 0 x = 1,3, otherwise. calculate E[2x].

A: The PMF of X is given as,