Solved: In 512, use Stokes theorem to evaluate C F d r. Assume C is oriented

Chapter 9, Problem 11

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In Problems 5–12, use Stokes’ theorem to evaluate  \(\oint_{C} \mathbf{F} \cdot d \mathbf{r} .\). Assume C is oriented counterclockwise as viewed from above.

\(\mathbf{F}=x \mathbf{i}+x^{3} y^{2} \mathbf{j}+z \mathbf{k}\); C the boundary of the semi- ellipsoid \(z=\sqrt{4}-4 x^{2}-y^{2}\) in the plane z=0

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