Suppose X has pmf X 013 p(x) .4 2.4 ● Compute E(X). 2 Let h(X) = X². Compute E(h(X)).

Q: If ' f(x) = 3 and S. f (x) = 5 , then f (x) =

A: The integral  can also be written as .

Q: suppose f (2) = 4, f ′(2) = 6, g(2) = −1, g′(2) = 3, and f ′(−1) = 5. Give h′(2) when h is defined…

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Q: . Find the inverse of the function f(x) = 1 + (1/x), x* 0. Then show that f(f(x)) = f(f(x)) = x and…

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Q: Let f(x)=3x3+x and g=f¯l then g'(4) = %3D .A 1/2 .B 1/10 .C 1/5 .D 1

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Q: f(x) dx if Jo Find

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Q: Find g'(x) for the given function. g(x) = /15x

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Q: Given the following table of values: x f(x) f'(x)| 2 -1 -2 5 4 4 x? – 2x – 1 - A. If g(x) then g'…

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Q: πχ If f(x) = 1 + x³ + tan 4 find (ƒ-¹)'(3)=?

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Q: Let f (x) be equal to -x + 1 for x < 0, equal to 1 for 0 < x < 1, equal to –x + 2 for 1 < x.…

A: To evaluate the integral

Q: Calculate Rs for f(x) = 6 - x over ver [3,5]. R8 IE

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Q: Let f(x) = 6x3 and g(x) = x² – 8. Compute the following functions. 1. f(g(x)) = | 2. g(f(x)) = 3.…

A: The functions are given by fx = 6x-3 and gx = x2-8 To determine: The expression of the following…

Q: Let f(x)= x², g(x)= 2x+5, and h(x)=x² –1. Find each. 9. h[S(-2)]= 10. S[g(x-1)] =, 11.

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Q: 6. Find [ f(x)dx if f(x) = et -1, if -3<x<0 V9-x², if 0<x<3

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Q: - Find E f(x) dx if [3 for x 3 f(x) =

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Q: Let f(x) = 8+ Væ – 4. Find f-'(x). f-1(x) = Now for fun, verify that (f o f-1)(x) = (f-1o f)(x) = a…

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Q: 8. If f(x) dx = f(x) + C, determine f(x). Justify your answer. %3D

A: Given, ∫f(x)dx=f(x)+C Differentiate both sides with respect to x, we get f(x)=dfdx…

Q: 3. Compute f(x)dx (6 points) f(x) = { 2x if x <1 4 if x21 %3D

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Q: Suppose f(x) = x² In(x). then f"(e) equals

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Q: If f is a positive function and f"(x) < 0 for a < xs b, show that T, < f(x) dx < M,

A: f is a positive function and f''(x)&lt;0 for a≤x≤b This tells us that f is concave down over the…

Q: Let {X} be i.i.d. such that X₁~ Pa(4, 1500) and suppose that N(2) ~ Po(100). Find E[S(4)] and…

A: Given that  be iid. such that  and

Q: Find the function f(x) such that f'(x) = f(x)(1 – f(x)) and f(0) = (Use f for f(x) in your…

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Q: Let f(x) = 3 + 2(x-3) + 0(x-3), as x→3 and let g(x) 2 B. g (3) = ² 3 ·g is defined and…

A: We will find the required.

Q: Suppose f(x) > 0 on [0, 3], f(z) <0 on [3,7), f(z f(x) dr = 5, and f(x) dx = -9. Evaluate (0). re…

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Q: Determine Rn(x) for f(x) = 1ln(x) about x = e

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