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Question

Use Green’s theorem to evaluate $\oint_{C} \mathbf{F} \cdot d R.$ All closed curves are oriented positively. $\mathbf{F}=8 x y^{2} \mathbf{j} ,$ and C is the circle of radius 4 about the origin.

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Answered 1 year ago

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1 of 8We're going to calculate $\mathbf{F} \cdot d\mathbf{R}$ and then use the $\textbf{Green's theorem}$ to evaluate the integral.

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