Question: How do I solve this? 3) a) (Ex. 8.2.6 4pts) Verify Stokes theorem for the surface S = {(a, y, 2)| + y + 2?
How do I solve this?

3) a) (Ex. 8.2.6 4pts) Verify Stokes theorem for the surface S = {(a, y, 2)| + y + 2? = 1, z > 0} with boundary 85 = {(x, 7,0)| +y = 1 and the vector field F = >'it city'k. b) (Ex 8.2.18 4pts) Find JJ(V x F) . dS where S is the ellipsoid a? + 12 + 223 = 10 (oriented by the outward pointing unit normal vector) and F = sin(ry)ite j-yzk. 4) a) (Ex. 8.4.2 4pts) Verify Gauss divergence theorem for the region W = [0, 1] x [0, 1] x [0, 1] and the vector field F = zyi + raj + ryk. b) (Ex. 8.4.12 4pts) Evaluate ([. F . dS where F = 3ry i + 3ryj + 23k and S is the surface of the unit sphere (oriented by the outward pointing unit normal vector)
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