In 1316, use Stokes theorem to evaluate eeS (curl F) n dS. Assume that the surface S is
Chapter 9, Problem 13(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.
\(\mathbf{F}=6 y z \mathbf{i}+5 x \mathbf{j}+y z e^{x^{2}} \mathbf{k}\); S that portion of the paraboloid \(z=\frac{1}{4} x^{2}+y^{2} \text { for } 0 \leq z \leq 4\)
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