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Solve the Problem Cf(x,y)dx+g(x,y)dy\int _ { C } f ( x , y ) d x + g ( x , y ) d y

Question 171

Essay

Solve the problem.
-Consider the counterclockwise integral Cf(x,y)dx+g(x,y)dy\int _ { C } f ( x , y ) d x + g ( x , y ) d y where CC is a closed path in a region where
Green's Theorem applies. To evaluate the integral, should one use the flux-divergence form or the circulation-flow form of Green's theorem? Explain.

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