Returning to Exercise 44.12, we still need to know the region where U and V can occur in the U, V plane, in other words, we need to identify the region where the density fU,V(u,v) is relevant.
a. Find equations for the curves in the U, V plane that correspond to the four lines in the X, Y plane around the box 0 ≤ X ≤ 1 and 0 ≤ Y ≤ 1.
b. Draw the region in the U, V plane where the joint density fU,V(u,v) is of interest.