10. (10 Pts) Use Stokes' Theorem to compute the circulation, $c dr, of the force field Ể = < 2z2, 2xy, ey> where is the

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10. (10 Pts) Use Stokes' Theorem to compute the circulation, $c dr, of the force field Ể = < 2z2, 2xy, ey> where is the closed rectangular path from the origin to (2,0,0), then to (2,2,2), then to (0,2,2), and finally back to the origin. Distances are in meters and forces are in Newtons. Be sure to draw a neat 3-D diagram showing the path Cand the surface that you decide to use for Stokes' Theorem. You should explicitly indicate the surface function, z = g(x,y), that you use. Note: Your computation must be of the surface integral in Stokes' Theorem. Performing four line integrals will receive little or no credit