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Determine whether or not the vector field is conservative. If it is conservative, find a function...

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) = 8xyi + (4x2 + 10yz)j + 5y2k

Find: f(x, y, z) =

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