Let $\mathbf { F } ( x , y , z ) = x \mathbf { i } + y \mathbf { j } - 2 z \mathbf { k }$

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = x \mathbf { i } + y \mathbf { j } - 2 z \mathbf { k }$ and S is $z = \sqrt { 1 - x ^ { 2 } - y ^ { 2 } }$ Then the flux of $\text { F }$ through S is

A) 8?
B) 6?
C) 4?
D) 2?
E) 0