If the joint density function of x and y is f(x, y)=c(x2−y2)e−4x, with 0≤x< [infinity] and −x≤y≤x, find each of the following.

(a) the conditional probability density of x, given y=y> 0. conditional density fx|y(x, y)= (x^2-y^2)e^(4y-4x)/(y/8 + 1/32) (enter your answer as a function of x, with y as a parameter.)
(b) the conditional probability distribution of y, given x=x. conditional distribution fy|x(y|x)= (x^2 - y^2)/(4/3 x^3) (for −x≤y≤x). (enter your answer as a function of y, with x as a parameter.)