its components M(x,y) and N(x,y) are differentiable functions that satisfy (∂N(x,y)/∂x) – (∂M(x,y)/∂y) = 1-x.(adsbygoogle = window.adsbygoogle || []).push({});

a. is it possible for the vector field to be conservative? Explain.

b. Let C be x^2+y^2=1 centered at the origin traced counter clockwise. compute the integral ∫F.dr

Since, the partial derivatives don't equal each other, they're not conservative. But how should I go about calculating this line integral?

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# If F(x,y)=<M(x,y),N(x,y)> is a vector field on the plane?

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