Problem:
Find the curl of the vector field $f(x,y,z)\uvec{i} + g(x,y,z)\uvec{j} + h(x,y,z)\uvec{k}$ where $f(x,y,z) = e^z$, $g(x,y,z) = \sqrt{y}$, and $h(x,y,z) = \tanh ^{-1}(x z)$
Answer:
$\left\{0,e^z-\frac{z}{1-x^2 z^2},0\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/curl/28029.txt'}