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Evaluate the line integral OF . dr by evaluating the surface integral in Stokes' Theorem with an appropriate choice of S. Assume that C has a counterclockwise orientation when viewed from above. F = (x2 -y2,z2 -x2 , y2 - z2) C is the boundary of the square |x| $ 28, ly| s 28 in the plane z = 0. Rewrite the given line integral as an area integral over the appropriate region of the xy-plane. SOF . ar = SS () dA C RUse the Divergence Theorem to compute the net outward flux of the field F = ( - x,2y,z) across the surface S, where S is the boundary of the tetrahedron in the first octant formed by the plane x+y+z= 2. . . . The net outward flux across the boundary of the tetrahedron is (Type an exact answer, using it as needed.)