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Let be the hemisphere x + y + z = 4 with z 0 oriented downward, and consider the vector field F(x, y, z)

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Let be the hemisphere x + y + z = 4 with z 0 oriented downward, and consider the vector field F(x, y, z) = (x + eyz)i + yzj+xzk. Using the Stokes' Theorem evaluate SS Curl F n ds.

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