Help!!!

Consider the surface given by the equation $\displaystyle 2{x}^{2} + 2{y}^{2} + z = 6 $, oriented upward, and letSbe the part of this surface that is above the plane z = 4. Given the vector field:

$\displaystyle \vec{F} = x\vec{i} + y\vec{j} + 3\vec{k} $ ,

evaluate the surface integral

$\displaystyle \iint \vec{F} \cdot d\vec{S} $ .