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 $f(x,y,z) = \sin (x)$, $g(x,y,z) = \frac{1}{x-z}$, and $h(x,y,z) = \tan (x)$
Answer:
$\left\{-\frac{1}{(x-z)^2},-\sec ^2(x),-\frac{1}{(x-z)^2}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/curl/32815.txt'}