X Your answer is incorrect.

vec$(F)=(x+z)vec(i)+$xvec$(j)+$yvec$(k)$ and $C$ is the upper half of the circle $x^2+z^2=81$ in the plane $y=0,$ together with the $x-$axis from $(9,0,0)$ to $(-9,0,0),$ traversed counterclockwise when viewed from the positive $y-$axis.

Calculate the circulation, ${\displaystyle \underset{C}{\overset{\phantom{}}{}}}$vec$(F)*dvec(r)$ in two ways, directly and using

Stokes' Theorem.

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

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

Using Stokes' Theorem: ${\displaystyle \underset{C}{\overset{\phantom{}}{}}}$vec$(F)*dvec(r)=$