In 1316, use Stokes theorem to evaluate eeS (curl F) n dS. Assume that the surface S is
Chapter 9, Problem 14(choose chapter or problem)
In Problems 13–16, use Stokes’ theorem to evaluate \(\iint_{S}(\operatorname{curl} \mathbf{F}) \cdot \mathbf{n} d S\). Assume that the surface S is oriented upward.
\(\mathbf{F}=y \mathbf{i}+(y-x) \mathbf{j}+z^{2} \mathbf{k}\); S that portion of the sphere \(x^{2}+y^{2}+(z-4)^{2}=25 \text { for } z \geq 0\)
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