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Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = Vf. (If the vector

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Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = Vf. (If the vector field is not conservative, enter DNE.) F(x, y, z) = xyz2i + x5yz2j + x5y2zk f ( x, y, z) = zexi - (yzex - 2xyez )i - 2xe k x

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