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(Step-by-Step) (a) Find a potential function for F(x, y, z)=< y z^2, x z^2-z, 2 x y z-y>. (b) Use part (a) to evaluate ∫_C F • d \vecs where C is any

Question: (a) Find a potential function for $\vec{F}(x, y, z)=\left\langle y z^{2}, x z^{2}-z, 2 x y z-y\right\rangle$.

(b) Use part (a) to evaluate $\int_{C} \vec{F} \cdot \mathrm{d} \vec{s}$ where $C$ is any path in space from $P=(1,2,3)$ to $Q=(3,2,1)$

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(Step-by-Step) (a) Find a potential function for F(x, y, z)=< y z^2, x z^2-z, 2 x y z-y>. (b) Use part (a) to evaluate ∫_C F • d \vecs where C is any

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