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6 Nov 2019
Let S be the paraboloid z = 1 - (x2 + y2), z 0, oriented upward and S be the boundary of S with it boundary orientation. Let F = yi + zj + xk. Calculate the circulation F . ds: directly. That is, compute F . ds by parametrizing S. by computing curl(F) . dS. Show transcribed image text
Let S be the paraboloid z = 1 - (x2 + y2), z 0, oriented upward and S be the boundary of S with it boundary orientation. Let F = yi + zj + xk. Calculate the circulation F . ds: directly. That is, compute F . ds by parametrizing S. by computing curl(F) . dS.
Show transcribed image text