Let the vector field$$

F $($x$,$ y$,$ z$)=$y$2,$ x$2,$ z$2$ and the curve C be the intersection of two cylinders

x$2+$ y$2=4$ and y$2+$ z$2=1$ in the half space x $0,$ oriented counterclockwise when viewed

from the origin.

$($a$)(4$ points$)$ Calculate curl

$$

F$.$

$($b$)(6$ points$)$ Calculate line integral

F$$ dr$.$