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Stokes theorem to calculate the surface integral of the curl

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Use Stokes' theorem to evaluate the surface integral of the curl:

where the vector field F(x,y,z) = -12yzi + 12xzj + 18(x^2+y^2)zk and S is the part of the paraboloid z = x^2 + y^2 that lies inside the cylinder x^2 + y^2 =1, oriented upward.

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The solution shows detailed steps of using Stokes theorem to calculate the surface integral of the curl.

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