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Question

A particle starts at the point (-1, 0), moves along the *x*-axis to (1, 0), and then along the semicircle *y* = √(1 - *x*^{2} )to the starting point. Use Green's Theorem to find the work done on this particle by the force field **F**(*x*, *y*) = ‹3*x*, *x*^{3} + 3*xy*^{2}›.

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Calculus

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