Problem 5. Suppose g(n) = Ef(d). dịn Prove that f(n) = E+(d)g(4) ulp

Q: 1. Which of the following is incorrect? a. b. [(f(x) · g(x)) dx = [ f(x) dx . [ g(x) dx [(f(x) +…

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Q: 3s2 – 4 (3) Is it true that L{(e' – e ')²} = %3D s(s² – 4)

A: To answer the question we shall find the Laplace transform by using the table of Laplace transforms.

Q: (a) n = 5, x = 3, p = 0.6 p(x) = (b) n = 3, x = 3, p = 0.7 p(x) = (c) n = 5, x = 5, p = 0.2 p(x) =…

A: "since you have posted multiple questions.i have answered only to the first three questions…

Q: Find first deriative

A: Answer and explanation is given below

Q: If [f (x)dx=-17 and [f(x)dx=-4, what is the value of [f (x)dx? of f `„S(x)d? O -34 O -13 O 13 O -21

A: Given query is to find the value of indicated integral.

Q: 1 1 suppose / f (x) dæ = –2 and / g (x) dæ = 1. What is the 1 value of / (f (x) + 3g (x) – 2) dæ?

A: Given : ∫01fxdx = -2∫01gxdx = 1

Q: 19. Let f(x) = e*. Then, for all n, %3D f(n) (x) = e* and f(n)(0) = 1 It follows that T„(x) = 1+…

A: We have given;

Q: c ) = P(E) − P(EF ) (b) P(Ec F c ) = 1 − P(E

A: a). We know that, P(AB) = P(A)*P(B). We also know that, P(Ac)=1-P(A) In this case, the calculation…

Q: If f (x) = – sin(x), then f (10) (x) is equal to A - sin(x) В - cos(x) C sin(x) D cos(x)

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Q: II J (X) = g(r), r = [X], and n ≥ 3, show that 8²f 0х12 V²f= + + for x = 0. (b) Deduce from (a)…

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Q: 5. f(x) = -2x g(x) = |x+4| h(x) = 1 %3D %3D X-3 Find (f – g)(3) a. )(7) b.

A: To find the following parts.

Q: If F(s) = ℒ{f(t)} exists for s > a ≥ 0, and if c is a constant, then (7)…

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Q: An agent makes decisions using U(ct) = {[ct−χc(t−1)]^(1−γ)} /(1−γ) . Answer the following: (a)…

A: (a) When , the utility function becomes . To derive the expression for the coefficient of relative…

Q: If fit) = e-lt|, then (dx/1 + x2) =.. 2 2n

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Q: Find f'(x) for each of the following:« d Ax) = 2x(x + 1)² Ax) = 2x² – x4 1 Ax) = – 3xe e f

A: Since we know thatddxxn=nxn-1 Solution d: Given function is f(x)=2x(x+1)2=2xx2+1+2x⇒f(x)=2x3+4x4+2x…

Q: 2. Iff (x) = 2x +3 and g (x) = x - 1, then f g (-1) = O A. -1 B. 2 C. 0 D. 3 O O O O

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Q: -10 8. If S" f(x)dx = 4 and Siof(x)dx = 7, then f(x)dx = -3 %3D (a) 0 (b) –3 (c) 3 (d) 11 |

A: Given:-

Q: Let f(x) =7 (1 + x*y/" for n22 and g(x) = (fofo.f) (x). Then Jx"-g (x) dx f occurs n times equals…

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Q: 4. Let X-f(x;8) where f(x;0) = 0 (1-0)-10.1)(x), 8 € [0,1/2]. %3D a. Find the MME and MLE of e. b.…

A: Given that  X~ f(x,θ) where the probability mass function of X   X follows the Bernoulli…

Q: 5 " ["ƒ(2)dz -3, and "s(2), If f(x) dx = = -8 g(x)dx = 1, 5 then [₁1/(2) + [1f(x) +5g(x)]dx = =

A: Given query is to find the value of the integral.

Q: 18) h(t) = 2 · 3**³; Find h(4 + t)

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Q: Consider the following initial value problem, representing the response of a damped oscillator…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Suppose that P(A/B)=0.2, P(A/B')=0.3, and P(B)=0.8. What is P(A)?

A: GivenP(A|B)=0.2P(A|B')=0.3P(B)=0.8

Q: If P(A) = 0.2, P (B) = 0.4 and P (A|B)) = 0.1 Compute P(A'n B) Enter your answer with two decimal…

A: It is given that: P(A)=0.2P(B)=0.4P(A|B)=0.1 The objective is to obtain, P(A'∩B).

Q: 1. Find a power series for each of the following, centered at a = 0 for parts (a) (d) and centered…

A: (a) Given data: The given expression is 4/(1+2x). The expression for the power series of the given…

Q: For f(x) = x3, If fx)dx =2f(c), then %3D 1 A O 1 BO X = + [2 X = ± 2 CO .D O None

A:

Q: The region bounded by f(x) 2x² + 12x + 14, x = = 0 is rotated about the y-axis. Find the volume of…

A:

Q: If ? what is f(x) = ex -1 f-¹ (x)

A: We  are asked to find inverse of the function

Q: If d(r) 4+ w*dw then 0. d'(r) =

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Q: 21. Find L{te} a. b. C. F(s) = s + e-s F(s) == /2 1 F(s) = (S-1)² 1-s s² d. F(s) =

A: Given that the Laplace transformation  Ltet  .

Q: If f (x) dx =-4 and h (x) dx = 7, which of the following must be true? 1. f (x) <h (x) for all a <x…

A:

Q: .If f(z) = 2° + 9 and g(z) = a+ 12, find [go f](-1). %3D

A: Givenf(x) = x3 +9, g(x) = x+12g ∘ f-1 = ?

Q: 4 5) If L f(t) es find L f(4t) Ans. e s

A: Laplace transferom of change of scale property

Q: 2. Suppose that p(x) = 1/5, x = 1, 2, 3, 4, 5 is the pmf of X. Find (a) E(X) (b) Var(X) (c) E [(x +…

A: Data given P(X=x)=1/5 ; x=1,2,3,4,5