Question 1 Verify Green's Theorem for the vector field F = (0, 2x) and the closed curve C consisting of the semicircular path Tries ((x. y) |x + y = 1, x 2 0] from (0, 1) to (0. -1) followed by the line segment from (0, -1) to (0, 1). remaining: 3 Marked out of 10.00 Solution: Flag First note that C is closed, piecewise-smooth clockwise oriented curve. Let D = [ (x, y) | x] + ) T/2 el * to (chose one from the following b) - x/2 C) 0 Hence, / F . dr = .. = A /+ cos2 1di, where A = a = * , and b = * . We obtain SC F . dr = Parametric equation for C2: C2 ... r(1) = (0,1). where I varies from (chose one from the following a) -1 b) 1 d) 2