Question: Vector field F(x, y, z) = (x2 sin z, y2, xy). Let S be the part of the paraboloid z =1-22 - 2 that lies

Vector field

F(x, y, z) = (x2 sin z, y2, xy). Let S be the part of the paraboloid z =1-22 - 2 that lies above xy plane, with upward orientation. Use Stokes' Theorem to compute V x F . ds
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