$If$ curlvec$(F)=(x^2+z^2)vec(j)+9$vec$(k),$ find ${\displaystyle \underset{C}{\overset{\phantom{}}{}}}$vec$(F)*dvec(r),$ where $Cis$ a circle $of$

radius $5,$ centered $at$ the origin, with the following conditions:

NOTE: Enter exact answers, $or$ round $to$ three decimal places.

$(a)Cin$ the $xy-$plane, oriented counterclockwise when viewed from

above.

${\displaystyle \underset{C}{\overset{\phantom{}}{}}}$vec$(F)*dvec(r)=$

$(b)Cin$ the $xz-$plane, oriented counterclockwise when viewed

from the positive $y-$axis.

${\displaystyle \underset{C}{\overset{\phantom{}}{}}}$vec$(F)*dvec(r)=$