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    Line Integral : Green's Theorem

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    A) For what simple closed (positively oriented) curve C in the plane does the line integral of
    (e^(-x)+ 4x^2y +y)dx + (x^3-x*y^2+5x)dy

    have the largest positive value? (use Green's theorem)

    b) Determine what this value is.

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    https://brainmass.com/math/integrals/line-integral-greens-theorem-27349

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    a) For what simple closed(positively oriented) curve C in the plane does
    the line integral
    of
    (e^(-x)+ 4x^2y +y)dx + (x^3-x*y^2+5x)dy
    has the ...

    Solution Summary

    The largest value of a line integral is found using Green's theorem. The solution is detailed and well presented.

    $2.19

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