Let i=∫∫d(x2−y2)dxdy, where d={(x, y): 3≤xy≤4,0≤x−y≤2,x≥0,y≥0} show that the mapping u=xy, v=x−y maps d to the rectangle r=[3,4]×[0,2]. (a) compute ∂(x, y)/∂(u, v) by first computing ∂(u, v)/∂(x, y). (b) use the change of variables formula to show that i is equal to the integral of f(u, v)=v over r and evaluate. (a)∂(x, y)∂(u, v)= (b)i=