Determine k, so that ƒx¸y(x, y) = a) Determine E[Y] kx 0 0

Q: Let g(x) = ſº tº dt. Evaluate: X a) g'(x) b) g' (2)

A: We have to find the derivative.

Q: Find the derivative of the function rsin(x) 1- t2 dt. 1+t4 g(x) /1

A: Explanation of the answer is as follows

Q: 2) Find a value of c for which f (x) is a pdf on the f(x) = cx + x², [0. 1]

A: Introduction ∫-∞∞fxdx=1 The total area under the curve fx of pdf is 1.

Q: Use the second-derivative test to show that the function f(x, y) = x²eY – y²e* has a saddle point at…

A: A point (a,b) of function f(x,y) is said to be the saddle point if it is a critical point…

Q: Let X have cdf Fx(x) = 1- (1+x)^-A, x,a > 0. Determine the pdf and cdf of Y = CX

A: Let X have cdf Fx(x) = 1- (1+x)^-A, x,a > 0

Q: a) Calculate the derivative of f Cx) by first expanding and Simplifyıng the function fCx)=(2-3x) 2

A: Given,           fx=2-3x2

Q: Let f(x) = sin? (x). Define F(x) | f(t) dt. What is F" -) ?

A:

Q: d dx y' z' y" z"

A:

Q: The joint pdf of Y, and Y, is given by (a) ,with support (b) , and 0 elsewhere. (a) 1/y2; (b) 0 < y…

A:

Q: (2) /: (2) 5te dt (1) dx 5+e*

A:

Q: Let z= x+iy and determine where the function f(z) = Log(z2 + 1) is holomorphic. What is its…

A: The derivative of f(z) is given by the chain…

Q: Find f'(-1) if tæ) - [1- -1). (x-1). %3D O a) -1 O b) -2 O d) o

A: We have to find f'(-1) if f(x)=1-1xx-1.

Q: Let X ~ Exp(λ). Find F(X) and E(X).

A: Let X ~ Exp(λ)The probability density function of X is fx(x)=e-λx   ;x&gt;0