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Use Stokes' theorem to evaluate S (curl F · N) dS for the vector field and surface. F(x, y, z) = xyi â zj and S is the surface of the cube 0 ⤠x ⤠1, 0 ⤠y ⤠1, 0 ⤠z ⤠1, except for the face where z = 0, and using the outward unit normal vector