Problem 5. [20 pts] Verify Green's Theorem for the following vector field and region D. Namely,...

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Problem 5. [20 pts] Verify Green's Theorem for the following vector field and region D. Namely, compute both, the line integral and the double integral. x1 1. (10pts) F (1,-1). and D is the square with vertices (1, 1), (-1, 1), (1, 1), and f(Fidx1+ F2dx2) = MD (33) drdx2 = 2. (10pts) F = 3x2 -4x1. and D is the elliptical region x + 2x4. fc(Fidx1+ F2dx2) = 4) dxdx2 = SSD (3F OF x2 Problem 5. [20 pts] Verify Green's Theorem for the following vector field and region D. Namely, compute both, the line integral and the double integral. x1 1. (10pts) F (1,-1). and D is the square with vertices (1, 1), (-1, 1), (1, 1), and f(Fidx1+ F2dx2) = MD (33) drdx2 = 2. (10pts) F = 3x2 -4x1. and D is the elliptical region x + 2x4. fc(Fidx1+ F2dx2) = 4) dxdx2 = SSD (3F OF x2