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 $f(x,y,z) = (y-x)^5$, $g(x,y,z) = \cos (x-y+z)$, and $h(x,y,z) = \cos (y)$
Answer:
$\left\{\sin (x-y+z)-\sin (y),0,-\sin (x-y+z)-5 (y-x)^4\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/curl/42857.txt'}