4. . Consider the integral I = - || y sin(ry) dA, R xy=4 where Ris the shaded region shown on the diagram to the right. xy=1 (a) Evaluate I. (b) Set z = u/v and y = v. Draw the image of Region R in...

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Extracted text: 4. . Consider the integral I = - || y sin(ry) dA, R xy=4 where Ris the shaded region shown on the diagram to the right. xy=1 (a) Evaluate I. (b) Set z = u/v and y = v. Draw the image of Region R in the uv-plane. (c) Find the Jacobian of the transformation taking (x, y) to (u, v). (d) Evaluate the integral I by changing coordinates to (u, v).