Let cov(X,Y) = var(X) = and h(y) = }* (4y, 0

Q: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

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Q: f(x) = xe (1+e*)

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Q: Let f(x) = √√4x² 4x² + 3x + 5

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Q: that Var(X) = 727.48, Var(X) = 9536.23, and Cov(

A: Given,           Var(X) = 727.48, Var(Y) = 9536.23, and Cov(X, Y) = 2236.37 To the value of…

Q: if y= x/lnx then find y`

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Q: fy (x² Inx)*, then dy dx Select one: a. 4(xPInx) (x+ xInx) b. 4(x3+Inx) (2x+ C. 4x (Inx) (1+2lnx) O…

A: Let fx & gx be two differentiable functions. The product rule of differentiation is given by:…

Q: Suppose that Var(X) = 934.93, Var(Y) = 11297.02, and Cov(X,Y) = 2912.35. What is Var(.87X + .13Y)?

A: The given .The aim is to find the .The formula used .

Q: du _ dv dy dx If f(z) =z²+z - ,2

A: Take z= X+iY and proceed

Q: : Find a2f and a2f of the following: дх ду ду дх (1) f(x,y) = In(x?y) + ху (2) f(x,y) = e-3x*y³ +…

A: While finding partial derivative in multivariable function, if we have to find the partial…

Q: Find the antiderivative F of the function f(x)= x^2 + 2x + 2 such that F(-1) = -1.  F(x) =

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Q: For f(x) = x2 - 5x + 6, find f(2), f'(2), and f(3) – f(2). a. f(2) = b. f'(2) = c. f(3) – f(2):

A: Given function is f(x)=x2-5x+6 (a) f(2) is obtained by replacing x by 2 in f(x) as follows.…

Q: Describe an assumption that we are making about the distribution of the beans after “frolicking,”…

A: When marked beans are added back to the population in the cup, the researcher ask to 'frolic' or mix…

Q: Yob) a) fog)(x) & 3. = (x)) JI 2. x+2 (x)6 8 %3D then find

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Q: Show that Var (Y) = Var(ε₁) = 0².

A: Let us consider a simple linear regression. The equation of a simple linear regression model is:…

Q: Suppose that Var(X) = 861.99, Var(X) = 9517.33, and Cov(X,Y) = 2449.18. What is Var(.37X + .63Y)?

A: Solution

Q: Suppose that Var(X) = 879.05, Var(Y) = 8681.72, and Cov(X,Y) = 2281.58. What is Var(.08X + .92Y)?

A: The objective of the question is to find the variance of the linear combination of two random…

Q: Let f f(x) dx = -3, f¹ f(x)dx = -4 and g(x)dx = 6 and ¹ g(x)dx = 2. Then evaluate * (7 f(x) — 28(x)…

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Q: Find f such that f'(x) = 8x + 9x-2 and f(0) =5. %3D f(x) =| %3D

A: Concept : if f'(x) is known for finding f(x) we need to integrate f'(x) with respective x…

Q: Evaluate x' V1+x? xp=

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Q: flx)=x+3 (x)%=DV さ+4 Dania of flalx)]= Lonain of alf(x)= F(x))

A: Given query is to find domain of the indicated composite function.

Q: 5x 3x2 (3x²)' ework Diffeventiate the equntion. /3

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Q: Let f(x) = 9 + V2x - 9. Find f(r).

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Q: Suppose that Var(X) = 704.85, Var(Y) = 9161.83, and Cov(X,Y) = 2154.62. What is Var(.97X + .03Y)?

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