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    Green's theorem - work

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    A particle starts at the point (-2,0), moves along the x-axis to (2,0), and then along the semicircle y= squareroot(4 - 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)= < x, x^3 + 3xy^2 >.

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    Solution Preview

    According to Green's theorem, the integral is equivalent to int_D (3x^2 + 3y^2) dx dy ...

    Solution Summary

    This provides an example of using Green's theorem to find work done.