Divergence and Curl:

1. Compute both the curl and divergence of the following vector field: $\displaystyle{\vec{F}=\langle e^x\sin y,e^y\sin z, e^z \sin x \rangle}$  solution

2. Determine whether or not the vector field is conservative: $\displaystyle{\vec{F}=\langle z \cos y,  xz\sin y, x \cos y \rangle}$  solution