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3. [10 pts.] Evaluate the tripe integral //.Vz?ザ+zav where Eis the solid tripeintegr:=2.VETTFw where Eisthesolidball bounded

4. [5 pts.] Consider the region \(D\), outside the circles \(C_{2}\) and \(C_{3}\) and inside the circle \(C_{1}\) in the figure below and a vector field \(\vec{F}(x, y)=\langle P(x, y), Q(x, y)\rangle\). Assume we know that \(\oint_{C_{2}} \vec{F} \cdot d \vec{r}=\oint_{C_{3}} \vec{F} \cdot d \vec{r}=-2 \pi\), and \(Q_{x}-P_{y}=2\) on an open region containing \(D .\) Use

Green's Theorem to find \(\oint_{C_{1}} \vec{F} \cdot d \vec{r}\).

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·Gyven : d A 4 SO A -SOK

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