Question: Determine whether the vector field is conservative, and if so, find a potential function. (mathbf{F}(x, y, z)=leftlangle x y z, frac{1}{2} x^{2} z, 2 z^{2}

Determine whether the vector field is conservative, and if so, find a potential function.

\(\mathbf{F}(x, y, z)=\left\langle x y z, \frac{1}{2} x^{2} z, 2 z^{2} yightangle\)

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