Solved: In 512, use Stokes theorem to evaluate C F d r. Assume C is oriented
Chapter 9, Problem 9(choose chapter or problem)
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.
\(\mathbf{F}=y^{3} \mathbf{i}-x^{3} \mathbf{i}+z^{3} \mathbf{k}\); C the trace of the cylinder \(x^{2}+y^{2}=1\) in the plane x+y+z=1
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