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    Green's Theorem : Flux

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    Let C be a differentiable curve contained in the portion 0 inferior or equal to x inferior or equal to 1 of the first quadrant, starting on the positive y-axis and ending somewhere on the line x=1.
    Show that the flux of the vector field F

    F=(2xy-2x^4*y)i+(4x+4x^3y^2-y^2)j

    across C is always equal to -2.

    Hint : Apply Green Theorem to the region between C and the x-axis.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:04 pm ad1c9bdddf
    https://brainmass.com/physics/flux-flux-density/greens-theorem-flux-27353

    Solution Summary

    Flux is investigated using Gren's theorem. The solution is detailed and well presented.

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