Question

Stokes’ Theorem for evaluating surface integrals Evaluate
the line integral in Stokes’ Theorem to determine the value of the
surface integral ∫∫S ( x F) ⋅ n dS. Assume n points in an upward
direction.

F = ⟨x + y, y + z, z + x⟩; S is the tilted disk enclosed by
r(t) = ⟨cos t, 2 sin t, 13 cos t⟩ .

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Calculus

Applications of Integration

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