For the following problems, answer the following questions: Sketch the region of interest in the xy-plane i. ii. iii. iv. V. Perform the double integral part of Green's Theorem Perform the line integral part of Green's Theorem Verify that your answers to (ii.) and (iii.) are the same. Which integral was easier to calculate? a. F(x,y) = [3y, -3x], in the circle defined by: x + y = 4 Ans: -24 b. F(x,y) = [7x - 3y+ 2,3xy], in the square with vertices defined by the coordinates: (0,0), (6,0), (6,6), (0,6) Ans: 1404 c. F(x,y) = [x - y, x + y], on the region defined by: 0 y 8-2x Ans: 2048/15