Determine if the given vector field

F

is conservative or not.

F $=$

$($y $+2$z $+9)$ sin$($x$),$cos$($x$),2$ cos$($x$)$

conservativenot conservative$$

If

F

is conservative, find all potential functions f for

F

so that

F $=$f$.$

$($If

F

is not conservative, enter NOT CONSERVATIVE. Use

C

as an arbitrary constant.$)$

f$($x$,$ y$,$ z$)=$