Q 6.2. Let X = (X₁, X2, X3)¹ ~ MVN (ux, Ex) where -3 7²) μχ = Compute the distribution of Y and Ex = (a) Compute the moment generating function Mx (t) of X. (b) Compute E(X₁X₂). (c) Let Y₁ Y₂ Y3 = = = 6 -2 -2 - 3X2 X3 + 1 X₁ X₂ X3 X₁ + 2X₂ - 2. (Y₁, Y₂, Y₂)T. -2 -2 2 1 1 1 -

Q: Use the table below to compute h'(-1) for h(x) = f(x) g(). (E) (), (1)6 () 1/2 -2 2 1 -3 1 2 1 4. -1…

A:

Q: a.) If f(x)= sin(In(x* )), find f'(x). b.) If g(x) = 5x find g'(x). %3D .2 x +3

A: (a) Consider the provided function, fx=sinlnx3 Find the derivative of the provided function. Apply…

Q: Pr[A'nB]=0.4 and Pr[(AUB)']=0.5. determine Pr[A]

A: GivenP(A'∩B)=0.4P(A∪B)'=0.5

Q: help please answer in text form with proper workings and explanation for each and every part and…

A: Solution of the given question is like

Q: Consider the given differntial equation y'(t)= (y-2)(3+y) Find the soultions that are constant for…

A: Given: y'(t)= (y-2)(3+y)

Q: Explain the conditional expenditure function in equation (1). Express this equation in a traditional…

A:

Q: 7 x + 2 Let f(x) = x4 . x + 5 f'(x) = %3D

A:

Q: Let f(t) = 4t* – 4t + 5e'. Then f'(t) =

A: find the derivative

Q: Let f(x)= 1. f'(3)= 2. f'(6)= = 4 VT Evaluate each of the following:

A:

Q: Let 7(t) = Find 7'(t) 7 (t) =

A: Topic - vectors and derivatives Since r→t = 5 t5-1, -e-t, -3 sin2t we to find r→'t  derivative of tn…

Q: Let f(x) = In[x4(x +9)6(x2 + 4)3]. Find f'(x). f'(x) =

A: Given,

Q: Suppose f(x) = 6t²√1+tº dt. 1) Evaluate f (2). 2) Evaluate f'(2). 3) Evaluate f"(2).

A:

Q: let p(x)=g(f(x)). use the given table to find p'4

A: p(x)=g[f(x)] diff. w. r. to x p'(x)=g'[f(x)] . f'(x)  ..................(1)

Q: - 3 Let f(x) = 8xVæ + x2. f'(x) =

A: Use the derivative for finding the answer.

Q: Suppose f(x) = [ 6t² /1+t° dt .

A:

Q: Let 7(t) = Find 7'(t) F'(t) =

A: The objective is to find the derivative of given