[Steps Shown] Find a potential function for the vector field F(x, y, z)=< z^3-2 x y^2, z^2-2 x^2 y, 3 x z^2+2 y
Question: Find a potential function for the vector field
\[\vec{F}(x, y, z)=\left\langle z^{3}-2 x y^{2}, z^{2}-2 x^{2} y, 3 x z^{2}+2 y z\right\rangle\]
Deliverable: Word Document 
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