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

Question

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

Quizplus · Accepted Answer

The Answer of 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

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

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