Verify Green's Theorem for the vector field F = (0, 2x) and the closed curve C consisting of the semicircular path {(x, y) | x2 + yz = 1, x 2 0} from (0, 1) to (0, -1) followed by the line segment from (0, -1) to (0, 1). Solution: First note that C is closed, piecewise-smooth clockwise oriented curve. Let D = {(x, y) | x2 + y