If F 6x i 7z j 8y k, use Stokes theorem to evaluate S (curl F n) dS, where S is that

Chapter 9, Problem 56

(choose chapter or problem)

If F = 6xi + 7zj + 8yk, use Stokes' theorem to evaluate \(\iint_{S}(\operatorname{curl} \mathbf{F} \cdot \mathbf{n}) d S\), where S is that portion of the paraboloid \(z=9-x^{2}-y^{2}\) within the cylinder \(x^{2}+y^{2}=4\).

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