Friday, August 12, 2011

Use Stoke's theorem to evaluate ∫∫S curlF ·dS where F(x, y, z) = −3yzi + 3xzj + 18(x2 + y2)zk?

and S is the part of the paraboloid z = x2 + y2 that lies inside the cylinder x2 + y2 = 1, oriented upward.

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