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 $f(x,y,z) = \frac{x}{y}$, $g(x,y,z) = y$, and $h(x,y,z) = \sqrt{z}$
Answer:
$\frac{1}{y}+\frac{1}{2 \sqrt{z}}+1$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/divergence/10071.txt'}