Consider the region R in the x-y plane bounded by the three curves y = x, y = r² and x = 1. Give a variable transformation x = x(u, v), y=y(u, v), so that the region in the u-v plane corresponding to R is given by S={(u, v) | 0≤u≤1,0≤ v≤1}. Also determine the Jacobian of this variable transformation.