UMVUE of 0. Let X₁, X, be i.i.d. from f(x) = e-(-0), a 20. Find the

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A: To find out f'(x) and f"(x).

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A: Given the function

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Q: 1+х f[X_, Y_] := 2 у - 1-x (1+) (у-1)2

A: We will use basic knowledge of the functions of several variable theory to answer this question.  We…

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A: To find out the partial derivatives.

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Q: Ax) : 3x and 4. Consider the functions g(x) = 7. Determine ()-e({)

A: Given function Calculate function according to the questions

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Q: Find &, for f(a, y) = xy? – 4.ry² +x*. 3

A: This question is related to partial derivatives.

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Q: Q9- Find the turning points of the function f(x,y)=x^2+ 2xy and state whether the points are max,…

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Q: f(x) = C

A: Here we apply quotient rule of differentiation given as ddxuv =vdudx-udvdxv²

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Q: 3. Why can you not use the power rule to differentiate y = e*?

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A: The given function is fx=eeex

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Q: Can you specify how you got the F=(y-x, x, y+x) on step 2?

A: The vector field F =(y-x, x , y+x) is given .

Q: Find f. f "(x) x2, x > 0, f(1) 0, f(9) 0 =

A: Given,

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A:

Q: f"(x) = 2x + 5 and f'(-2) = 4 and f(-2) = -4. Find f'(x) = x^2+5x+10 and find f(2) = 76/3

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Q: y=ー-x+5 3 y=-x+7

A: This question is based on Substitution.

Q: Find ao of the function f(x) =÷(n - x)2 | О п^2/12 5 T^2/6 5 T^2/12 O T^2/6

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Q: e -e Vx x +0 Let f(x) = D3 /x +eVr x =0 xDx 0.

A: We can find the function f(x) is continous or not and differentiable or not by following the below…

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Q: Sx°e*dx =(_)-e* + c,

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A: Given: y=sec2wsec2w+1

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A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Show that if X gamma(r, A) and Y ~ gamma(s, ) independent, are then X + Y is gamma(r + s, ).

A: X~Gammar,λ fx=λrΓre-λxxr-1,     x>0, r>0, λ>0 Y~Gammas,λ fy=λsΓse-λyys-1,     y>0,…