Verify that Stokes Theorem is true for the vector field F(x, y, z) x 2 i y 2 j z 2 k, where S is the part of the paraboloid z 1 x 2 y 2 that lies above the xy plane and S has upward orientation

Question: Verify that Stokes Theorem is true for the vector field F(x, y, z) = x 2 i + y 2 j + z 2 k,

Verify that Stokes’ Theorem is true for the vector field F(x, y, z) = x² i + y² j + z² k, where S is the part of the paraboloid z = 1 - x² - y² that lies above the xy-plane and S has upward orientation.

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