Consider the following vector field.

$F(x,y,z)=($:$5e^{x}sin(y),2e^{y}sin(z),9e^{z}sin(x)$:$)$

$($a$)$ Find the curl of the vector field.

curl$(F)=$

$$

$($b$)$ Find the divergence of the vector field.

div$(F)=$