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(25 points) Consider the vector field F(x, y) = 2y i - x j. Let C be the ellipse x2 + y2/4 = 1 oriented counterclockwise.(e) Check that C bounds the upper half S of the ellipsoid x2 + y"/4 + 22 = 1, z 2 0 and find the integral of of curl F on S. ( Hint. Depending on how you do it, you should not have to compute much at all....)