Ononot — For what value(s) of k is the vector field \vec{F}(x,y,z) =

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Multivariable & Vectorhard

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For what value(s) of $k$ is the vector field $\vec{F}(x,y,z) = (2yz + kx, 2xz, 2xy)$ conservative in all of $\mathbb{R}^3$ ?