Given the Force function $F(x,y,z)=($:$2cosy,\frac{1}{y}-2xsiny,\frac{1}{z}$:$).$ Answer the following.

$(a)(5pts)$ Show that $Fis$ conservative.

$(b)(10pts)$ Find a potential function $f$ such that $F=$gradf

$(c)(5pts)IfFis$ a force field, find the work done $byFin$ moving a particle along any path from

$(0,2,1)to(0,\frac{}{2},2)$ Please show ALL steps, thank you!