6. Consider the region R in the xyplane given by R = {0; \"ll 5 123; g 451:; x g 2} and the region in the ma plane given by S = {(u,v}l1 u 5 4,15 v S 2}. (a) (lpt) Find a transformation of the form TOM) :(x[u,v) ,y(u,v)) such that the image of S under Tis R. (b) (2pts) Use the transformation you found in (a) along with the change of variables theorem to nd the exact value of H 3'2qu . R