Determine whether the vector field is conservative, and if so, find a potential function. (mathbf{F}(x, y, z)=leftlanglefrac{y}{1+x^{2}},
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Determine whether the vector field is conservative, and if so, find a potential function.
\(\mathbf{F}(x, y, z)=\left\langle\frac{y}{1+x^{2}}, \tan ^{-1} x, 2 zightangle\)
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We examine the cross partials of F Since F1fracy1x2 F2tan 1 x F32 z we have beginaligned b...View the full answer
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