Problem #$10$: Let $Fbe$ the vector field

$F(x,y,z)=+yj+4zk$

and let $Sbe$ the part $of$ the cone $z=\sqrt[\phantom{2}]{x^2+y^2}$ beneath the plane $z=2,$ oriented using a downward pointing

normal. Compute the flux $ofF$ through $S,i.e.$ the surface integral

${}_{S}F*ndS$

Problem #$10$:

Enter your answer symbolically,

$asin$ these examples

Submit Problem #$10$ for Grading