Homework $6\mathrm{.}7$ Stokes' Theorem

Due Thursday by $11$:$59$pm

Points $8$

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Homework $6\mathrm{.}7$ Stokes' Theorem

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Score: $5/8$

Answered: $5/8$

$\frac{0}{1}$ pt

$3$

$98$

Deta

Let vec$(F)=.$

Use Stokes' Theorem to evaluate ${}_S$curlvec$(F)*dS,$ where

$S$ consists of the top and the four sides $($but not the bottom$)$ of the cube with one corner at $(-2,-2,-2)$ and the diagonal corner at $(1,1,1).$

Hint: Use the fact that if $S_1$ and $S_2$ share the same boundary curve $C$ that ${}_{S_1}$curlvec$(F)*dS={\displaystyle \underset{C}{\overset{\phantom{}}{}}}$vec$(F)*dvec(r)={}_{S_2}$curlvec$(F)*dS$