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

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = ( 2 x - y ) \mathbf { i } - ( 2 x - z ) \mathbf { j } + z \mathbf { k }$ and S is the region bounded by $2 x + 4 y + 2 z = 12$ and the coordinate planes. Using the Divergence Theorem, $\iint S$$\mathbf { F } \cdot \mathbf { n } d S$ is

A) 32
B) 36
C) 42
D) 48
E) 54