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Use Stokes' Theorem to evaluate    S curl F · dS. F(x, y, z) = x2...

Use Stokes' Theorem to evaluate

  
S

curl F · dS.

F(x, y, z) = x2 sin(z)i + y2j + xyk,


S is the part of the paraboloid

z = 1 − x2 − y2

that lies above the xy-plane, oriented upward.

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