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=