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10. (a' Find a potential function for the vector field F(x,y) = (ye y + 1, x9 x3 + 1) ; that is, nd f(x,

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10. (a' Find a potential function for the vector field F(x,y) = (ye "y + 1, x9 x3" + 1) ; that is, nd f(x, y) such that F = Vf. You may assume that the vector field F is conservative. (thse part (a) and the Fundamental Theorem of Line Integrals to evaluate J; F - dr where C consists of the line segment from (1,1) to ( 1, 2), followed by the line segment from (1, 2) to (0, 4), and followed by the line segment from (0,4) to (2, 3)

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