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(10 pts) (a) (5 pts) Compute F . dr, where Ic F(x, y) = (2y + 4xy2, 4x2y - 5x + ey) and C is
(10 pts) (a) (5 pts) Compute F . dr, where Ic F(x, y) = (2y + 4xy2, 4x2y - 5x + ey) and C is the triangle with vertices (0, 0), (3, 0), and (2, -4), with clockwise orientation. (b) (5 pts) Compute F . dS, where F(x, y, Z) = (4xz, z3, 4z2) S and S is the surface of the solid hemisphere above the xy-plane bounded by x2 + y' + z = 4, with outward orientation
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