A cone has its tip at the point $(0,0,5)$ and its base the disk $D,x^2+y^{2}9,$ in the plane $z=1.$ The surface of the cone is the curved and slanted face, $S,$ oriented upward, and the flat base, $D,$ oriented downward. The flux of the constant vector field vec$(F)=$avec$(i)+$bvec$(j)+$cvec$(k)$ through $S$ is given by

${\displaystyle \underset{S}{\overset{\phantom{}}{}}}$vec$(F)*dvec(A)=2\mathrm{.}06$

What is ${\displaystyle \underset{D}{\overset{\phantom{}}{}}}$vec$(F)*dvec(A)?$

${\displaystyle \underset{D}{\overset{\phantom{}}{}}}$vec$(F)*dvec(A)=-2\mathrm{.}06$

$($Enter indeterminate if it is not possible to find a value given the information provided.$)$

Supposed we instead consider the vector field vec$(F)=$avec$(i)+$bvec$(j)+$czvec$(k).$ If we again know

${\displaystyle \underset{S}{\overset{\phantom{}}{}}}$vec$(F)*dvec(A)=2\mathrm{.}06$

What is ${\displaystyle \underset{D}{\overset{\phantom{}}{}}}$vec$(F)*dvec(A)$ in this case?

${\displaystyle \underset{D}{\overset{\phantom{}}{}}}$vec$(F)*dvec(A)=$

$($Again$,$ enter indeterminate if it is not possible to find a value given the information provided.$)$

Note: You can earn partial credit on this problem.