Quest The moment generating function of X is given by Mx() = exp(2e - 2} and that of Y by Myt) = (e +)" f x and Y are independent, what are 1. E(XY) 2. E(X + Y)

Q: dH f(5) = 8, f' (5) = 4 f(26) = 8, f'(26) = 6, g(5) = 1, g'(5) = -9, and H(x) = f(r² + g(x)). Find…

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Q: Show that ⊢ (x > 0) y = x + 1 (y > 1)

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Q: F(t) = e^2t - 8/ 1-t Will this be undefined? And why? And which values of t is the function

A: given F(t) = e^2t - 8/ 1-t

Q: If f'(x) = x(x- 2)(x+1), then the graph of f has points of inflec- tion when x = A. -2 and 1 B. 2…

A: f''(x)= x(x-2)(x+1)2  To find the points of inflection of function f  A. -2 and 1 B. 2 and -1 C. 2…

Q: Evaluate the function when x = 1, 3 and 3 3 1) f(x) = x + 2x - 3

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Q: d dx f(x)=sina, f(0) = 7.

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Q: How do i find e(x), var(x) and e(x^3) using the moment generating function

A: Let us define the random variable X with moment generating function Mx(t).The moment generating…

Q: Exercise 6: Suppose f and g are functions such that: -3 f = 1, i=7, f = 5, -3 Г» g = 6, g = 3, :-4.…

A: Suppose f and g are functions such that

Q: Show that there is a real number t such that (e^−t) − (t^3) = 207/(t^4) + 1.

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Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…

Q: Show E(Y)

A: First we have to determine the marginal pdf of Y to calculate the value of E(Y).

Q: f(x) 9(2) where f(-3) = 7, f' (-3) = –9, 9(-3) = –2, and g'(-3) = 1. What is h' (-3)? Let h(x) Do…

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Q: Show E(XY)

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Q: 6x Let g(x) 6 du. Then u? + 8 g'(x) = (9(2+3x)(2-3x))/((9x^2-2)(9x^2+8)) Σ

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Q: f(x) = Ae (x-b)2 2a2 - f(x) z e° ze-x²

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Q: Suppose that the functions u and w are defined as follows. u (x) =-x-1 w (x) =? %3D Find the…

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Q: Find the linearization L(x) of the function at a. f(x) = x^4/5, a = 32

A: Given data: Function: f(x)=x45 a=32

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.