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Question

Determine whether or not the vector field is conservative. If it is conservative, find a function *f* such that **F** = ∇*f*. (If the vector field is not conservative, enter DNE.)

F(x, y, z) = 3y^{2}z^{3} i + 6xyz^{3} j + 9xy^{2}z^{2} k

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