Problem:
Find the divergence of the vector field $f(x,y,z)\uvec{i} + g(x,y,z)\uvec{j} + h(x,y,z)\uvec{k}$ where $f(x,y,z) = \cos (x+z)$, $g(x,y,z) = y$, and $h(x,y,z) = \frac{1}{z^2}$
Answer:
$-\sin (x+z)-\frac{2}{z^3}+1$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/divergence/25793.txt'}