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 $f(x,y,z) = x^3$, $g(x,y,z) = -\tan (y-z)$, and $h(x,y,z) = \sin ^{-1}(y)$
Answer:
$\left\{\frac{1}{\sqrt{1-y^2}}-\sec ^2(y-z),0,0\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/curl/4338.txt'}