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(2 points) Determine if each field below is conservative (i.e., the gradient Vf of a potential function f). If it is, find a such a

(2 points) Determine if each field below is conservative (i.e., the gradient Vf of a potential function f). If it is, find a such a potential function. (a) F(r,y) = u,-2) (b) F(x,y) = (6y- - 2sin(x +y)) i+ (-2sin(x + y) + 12xy - y?) j

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