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

Q: 2. pusts s-zX x)"こ(x)6

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Q: Question 2. If f(x) =x² + (a – 2)x+2-a then f(x) has a repeated root at x = 2. Find the value of…

A: The objective is  to  to find the value of a

Q: Determine if the ODE (1+ x*)y' + y = e² is linear or not. O linear O nonlinear

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Q: Consider the functions a(z) and B(x) = e +e- In this question, you may freely use the fact that 8…

A: Inverse function theorem  If f is invertible function then f-1x'=  1f'f-1x

Q: Consider the function f(x) = ln(x2). Let L(x) be the local linearization of f aboutx bar = a.a) What…

A: General expression of local linearization of a function f(x) about x0 is given by,

Q: 3. Define ln(x) = fidu. Fix x € (-1,1). Use u-substitution to prove that Hint: Use 4 Use the Corall…

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Q: 7 F Cx) = X tên?x 2\ %3D 2. X+ f'x)= %3D

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Q: Verify that the function In(2x - 1) - In(x – 1) = t, x > 1 is an implicit solution of the given…

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Q: Differentiate the function. y = In(16 + t – P) %3D y' = 1– 3r² 372 6 +t-t -- 6 + t- r 2 6+t-t

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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: Can you please explain how to find the local max and min?

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

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Q: Given the function g(x) = :/ V4 + sin(31) dt, 2x3 use the Fundamental Theorem of Calculus Part 1 to…

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Q: 23-4x-8 Integrate: 2E+4) dx 1)(r²+4)

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Q: For the function f(x) = 3x- 4x +3x +5x +6, find f'"(x), the third derivative of f, and f(x), the…

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Q: in= aRo can direetly /KT. by gomma fometion, We write Jo a Kox2 &KT 2

A: If you have any doubts in the solution please ask me  in comments i will reply you as soon as…

Q: Hx) =) x? +13 9=6 ccx)=?

A: We have to find  linearization L(x) of f(x)