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(3) Consider the vector field F (x, y ) = (2.2 + e, xe+ cosy ) You may assume this vector field is conservative. (a)

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(3) Consider the vector field F (x, y ) = (2.2 + e, xe+ cosy ) You may assume this vector field is conservative. (a) Find a potential function for F. That is, find a scalar-valued function f (x, y) satisfying F = Vf. (b) Use your answer to part (a) to evaluate the integral F . di where C is given by x = et , y = ecost, 0

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