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    Gradients and fields

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    find a function f(x,y) such that the Grad(f) = (2xy+y^3+1, x^2+3xy^2)

    Explain why you cannot find f(x,y) such that Grad(f) = ( x^2+3xy^2, 2xy+y^3+1)

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    Solution Summary

    The solution describes in detail how to find the original function and what a conservative field implies about it.