$\text { Find the flux of } \mathbf { F } ( x , y , z ) = x \mathbf { i } + y \mathbf { j } - 2 z \mathbf { k } \text { through }$

Multiple Choice

$\text { Find the flux of } \mathbf { F } ( x , y , z ) = x \mathbf { i } + y \mathbf { j } - 2 z \mathbf { k } \text { through }$
$S : z = \sqrt { 121 - x ^ { 2 } - y ^ { 2 } } , \iint _ { S } \mathbf { F } \cdot \mathbf { N } d S$ where $\mathbf { N }$ is the upward unit normal vector to $S$ .

A) 8
B) 11
C) 1
D) 0
E) 4