there are 2 questions here regarding joint probability density functions for U and V based on fxy(x,y) please see attached picture to see the questions to answer. please dont forget to include the support of the ranges of U and V

8. Let X and Y be jointly distributed with density function 1 fXY(xvy)=[x(2y) OSXSZ, OSySZx 0 otherwise And let U = X + 21' and V = 3X Y. Find the joint density of U and V. 9. Let X and Y be random variables with the joint density function 1 fxy(x.y) =[EOC-l-y) 1 Snyg 5 0 elsewhere Find the joint density of the random variables U = VX Y and V = Y 1