1. The problem statement, all variables and given/known data The question is attached in the picture. 3. The attempt at a solution From the question I deduced that there are 3 boundaries: red, green and blue. Blue Boundary This one is the easiest: That part of the curve of y2 = 4a(a-x), which corresponds to u = a. Red Boundary This corresponds to x = 0, y > 0. When x = 0, y2 = 4u2 = 4v2, which corresponds to u = v. Blue Boundary This happens when y = 0, x > 0. When y = 0, u = 0 or u = x. ------ (1) v = 0 or v = -x. Not sure what is going on here... To try and vizualize the boundaries in the u-v (u,v) plane, I tried to find the intersection between each boundary. Blue-red Intersection u = a AND u = v Therefore, this corresponds to the point (a, a) I've yet to find the red-green intersection and the blue-green intersection..