Let l=||D(x2-y2)dxdy, where D={(xy):3sxys6,0sx-ys7,x20,y20} Show that the mapping u=xy, v=x-y maps D to the rectangle R=[3,6]x[0,7]....

 

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Let l=||D(x2-y2)dxdy, where D={(xy):3sxys6,0sx-ys7,x20,y20} Show that the mapping u=xy, v=x-y maps D to the rectangle R=[3,6]x[0,7]. (a) Compute a(xy)/a(u.v) by first computing a(u,v)/a(xy). (b) Use the Change of Variables Formula to show that l is equal to the integral of f(u,v)=v over R and evaluate. (a)a(xy)/a(u,v)= (b)l= Let l=||D(x2-y2)dxdy, where D={(xy):3sxys6,0sx-ys7,x20,y20} Show that the mapping u=xy, v=x-y maps D to the rectangle R=[3,6]x[0,7]. (a) Compute a(xy)/a(u.v) by first computing a(u,v)/a(xy). (b) Use the Change of Variables Formula to show that l is equal to the integral of f(u,v)=v over R and evaluate. (a)a(xy)/a(u,v)= (b)l=

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