Suppose X - Bernoulli (0.5) and Y ~ Exponential (2). Suppose further that X and Y are independent. Let M (t) be the moment generating function of 2X – 3Y then M (1) is equal to -

Q: Exercise 4 Find the derivative of the following with respect to x. Use either chain rule or general…

A: As per bartleby guidelines we only give first three questions answers.

Q: 4. Find (f-1)'(1) if f(x)=x' +8x+sin(3.x) а. Find (f-1)'(2) if f(x)= Vx' +x +xr+1 b.

A: To find the derivative of the inverse of a function

Q: Pr[A'nB]=0.4 and Pr[(AUB)']=0.5. determine Pr[A]

A: GivenP(A'∩B)=0.4P(A∪B)'=0.5

Q: Suppose that F(x) = f(g(x)) and g(14) = 2, g'(14) = 5, f'(14) = 15, and f'(2) = 12. Find F'(14).…

A: Explanation:

Q: Suppose h = f ∘ g. Find h'(0) given that f(0) = 6, f'(5) = -2, g(0) = 5, and g'(0) = 3.

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Q: Q1 Let X1, .. ,X, f(r;0) = ()0 (1 – 0)2-, x = 0, 1,2. (i) Show that f(x:0) is a member of the…

A: It is an important part of statistics . It is widely used .

Q: If ƒ(x) then f"(x) = · = 0 X (t³ + 5t² + 1) dt -

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Q: 5 3. Let F(x) /t2 17 dt. Find F'(x)

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Q: 7. If f(x)=√(1-1²)et² dt, on which interval is f decreasing?

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Q: Find the nth-derivative, f(n), of f(x) e2x+4. 1. f(n)(x) = 2. f(n)(x) = 3. f(n) (x) = 2ne2x+4 1 - n!…

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Q: dx Suppose 10 = x + y' and both y = f(x) and x = g(t). If = 2 when x = 1 and y = 3, %3D dy when x =1…

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Q: (2) Show that f(x) = e³x cos(2x) is of exponential order.

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Q: Chapter 4] If f(x) = dt, where g(x) = 1," (÷) V1+t3 [1 + sin(t²)] dt, find f'

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Q: Let f(x) = In[x4(x +9)6(x2 + 4)3]. Find f'(x). f'(x) =

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Q: Show human working correctly please

A: To find f'(1), we need to differentiate the given function f(p) with respect to p and then evaluate…

Q: The undergraduate population at a recently-founded liberal arts college is growing according to the…

A: We have to select the true option.

Q: f"(x) = 20x3 + 12x2 + 4 with the initial conditions f(0) particular f(x). = 8 and f(1) = 5. Det

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Q: Let ø be a C' function, and suppose 00 $(x) = >, b,Un(x)., ø"(x) = ), cnUn(x). %3D n=1 =1 Express…

A: Here in the question it is give that ϕ is a C1 function .  Consider the given function as follow:…

Q: Suppose F(5) = -4, F(6) = 4, and F'(x) = f(x). Sº f(x) f(x) dx = = Quest

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Q: If f and g are functions such that m(x) = f(g(x)), g(3) = -4, and g'(3) = 10, what additional…

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Q: f(x) = ex/³; [1₁3]

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Q: b. A poll commissioned by a politician estimates that t days after he makes a statement denigrating…

A: Given that, St=75t2-3t+25t2+3t+25 (1) Differentiating St, with respect to t.…

Q: If g(t) = 3t° – 6t, find all t for which g'(t) = 0. - ||

A: Given : Function gt = 3t3 - 6t2   To find : all t for which g't = 0

Q: Let P(x) = F(x)G(x) and Q(x) = F(x) where F and G are the functions whose grap G(x) y F 2 -1 4 8.…

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Q: If f(x) = csc(3x). then f' (x) = %3D o -3csc(3x)cot(3x) o -3csc2 (3x) o 3sec(3x)tan(3x) o 3tan? (3x)

A: Given: fx=csc3x To evaluate: f'(x)