Show that (a) Cov(aX, bY)= ab Cov(X,Y). (b) Cov(X+a, Y + b) = Cov(X,Y). (c) Cov(X, aX+b) = a Var(X).

Q: 7 Find the li foc.y)=3=

A: f(x,y)=3xe^(-xy/3) f(x,y)=3xe^(-xy/3)  given (x0,y0)=(2,0) linear approximation…

Q: f (x) =, |2х-5 1 (-0,2) U[3,0), (-0,2]U(3, 0) , (-x,2)U[5,0) }. (-0,2) U[5, ) }. The domain of x-2…

A:

Q: Find the following. = ( ₁₁ — 1) , V₁ 1, = 2 U = (a) ||u|| (b) (c) ||u + v|| (d) (e) ||v|| (f) — 33 u…

A:

Q: V₁ = M 0 , V₂ = 1 and V3 = 11 0 -5 [3] เย เย Use the Gram-Schmidt procedure to produce an orthogonal…

A:

Q: Let f(z) = 10z + 6 %3D f (z) = Submit Question

A:

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: Show that |1 - (x, + x,) - (x, + x,) X,*z = (x, – ,) (x, – y2) (x2- ,)(x2 - 2) 1 -(), + x2) 1 - (y,+…

A: See the attachment

Q: (4-.1.P)an (4-t,t,) and V(t) = (3, t,

A: The given curves are ut=4-t2, t, t2 , vt=3, t2 , t . Let vt=vs →3, s2 , s . Comparing  the…

Q: Let f(x, y) = (- (3z + y))°. Then

A:

Q: Let Var(X₁) = Var(X3) = 2, Var(X₂) = 3, Cov(X₁, X₂) = 2, Cov(X2, X3) -2, Cov(X1, X3) = -1. i)…

A:

Q: Which of the following are true for A = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 4), (3, 2),…

A: The given set .The given statement .The objective is to determine whether the statement is true or…

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: Let 6 -2 3 -5 A = -2 and B = 2 -3 (a) Find AB, A-1, and B-1. 14 -24 AB = -4 7 1/2 A-1 %3D 1 3 -3 B-1…

A: We use the general rule for the inverse of a 2×2 matrix and multiplication of matrices to answer the…

Q: If x, +iy,=x,+ iv, then x =y,

A: Given x1 + iy1 = x2 + iy2

Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and u are differentiable. If u(-6,0) = 6, u,(-6,0) = -2,…

A:

Q: It is easy to calculate the covariance of X₁ and X₁+7. We get 7(T) = cov(X₁, Xt+T)= (1+0+02)0² (01…

A: