Example Suppose that Y Poisson(X) and consider testing Ho: A = A ild against H₁ A Av. solve it now

Q: 5 Let f(x) = r I+1 f'(I) - B.

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Q: z = If X – y show that: =D0

A: Given: z=xyx-y And x2∂2z∂x2-y2∂2z∂y2=0   As we know that; The Quotient rule; fg'=f'·g-g'·fg2 The…

Q: If false state why.

A: Given,

Q: Calculate Differentiate. 1 = 2 z² + 1 f(z)

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Q: If f(t) = e-t3 – 2 sin 2t determine L{f" (t)} %3D

A: Formula Used: L{eattn}=n!(s-a)n+1L{sin at}=as2+a2L{f''(t)}=s2L{f(t)}-sf(0)-f'(0)

Q: QUESTION 1 Let f(x) =x- 2 +8. Compute f-1(5): %3D

A: Given that         f(x) = (1/2)√(x-2) + 8  Here we have to compute f-1(5).

Q: A. If G(2) = F(z) · H(z), then G' (3): %3D B. If G(w) = F(w)/H(w), then G' (3)

A: Given F(3)=1, F'(3)=2, H(3)=4, H'(3)=1.

Q: Q5 Suppose that X₁ and X₂ have a joint pdf zero otherwise. f(x₁, x2) = (2/3)(x₁ + 1), for 0 < x₁ <…

A: Given that the joint pdf of X 1 and X2

Q: Consider the function f(x) = x° on the interval 0, 1]. Compute 1 3 x°dx using the following steps.…

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Q: Write an expression for the function, f(x), if it is known that f'(x) + √² AC f(x) C + = A(t) dt…

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Q: 2. Find a function f and a number a such that f(t) -dt = tanx. Give proper reasoning.

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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: 11 If f(x) t*dt then f'(x) =

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Q: Compute f(s), where f(x) = cos oz and 8 >

A: We have to find out the Laplace transformation of f(x) = cos

Q: What is the solution of the given ODE xy' + y = Vx

A: Given: xy'+y=x

Q: Consider the following AR autoregressive model where c is a constant and {a} is a white noise…

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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: 6. If /f(2)dæ = (x + 5)*eª + ln(|æl) + C, what is f(x)?

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Q: (§5.4, Q42) Calculate So™ f(x) dx, where sin x, x T

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Q: Let X ~ Gamma (8, 2) . Then E |[X²] is equal to

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Q: On a test, a student makes this statement: "The functi f(x) = x² has a unique antiderivative." Is…

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Q: For the given signal, Sketch: a) x(t) d b) a x(t) dt c) x(a) da ∞ x(t) = 0 -t -1 t-3 0 t 3

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Q: 1) Your velocity is v(t)=ln(t2+1) ft/sec for t in seconds, 0≤t≤3. Find the distance traveled during…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want help…

Q: IfI(u) = [log, (1-2u cos x+ u' )dx, then prove that, I(u)+I(-u)-DI(u²).

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Q: If f is an odd function, why is S, f(x) dx = 0?

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Q: Let X ~ T(a, B). If E(X) = aß and E(X²) = aß² + a² ß². If â = X, find the method of B moments…

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