Question: Determine whether the vector field is conservative, and if so, find a potential function. (mathbf{F}(x, y, z)=leftlanglefrac{2 x y}{x^{2}+z}, ln left(x^{2}+zight), frac{y}{x^{2}+z}ightangle)
Determine whether the vector field is conservative, and if so, find a potential function.
\(\mathbf{F}(x, y, z)=\left\langle\frac{2 x y}{x^{2}+z}, \ln \left(x^{2}+zight), \frac{y}{x^{2}+z}ightangle\)
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We examine the cross partials of mathbfF Since F1frac2 x yx2z F2ln leftx2zight F3fracyx2z we have be... View full answer
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