Consider the surface S defined by z = f(x, y) - 16 - x2 - y2, such that z ge 7. Take S to be oriented with the outward unit normal n^. Sketch the surface S. Find the flux of the vector field F = xi + yj + zk across S.
Show transcribed image textConsider the surface S defined by z = f(x, y) - 16 - x2 - y2, such that z ge 7. Take S to be oriented with the outward unit normal n^. Sketch the surface S. Find the flux of the vector field F = xi + yj + zk across S.