$\text { Let } \mathbf { F } ( x , y , z ) = ( 2 x - y ) \mathbf { i } - ( 2 y - z ) \mathbf { j } + z \mathbf { k } \text { and let } S \text { be the surface bounded by the }$ plane $2 x + 4 y + 2 z = 12$ and the coordinates planes. Verify the Divergence Theorem by evaluating $\iint_{S} \mathbf{F} \cdot \mathbf{N} d s$ as a surface integral and as a triple integral.

A) 43
B) 36
C) 6
D) 18
E) 23

Question

$\text { Let } \mathbf { F } ( x , y , z ) = ( 2 x - y ) \mathbf { i } - ( 2 y - z ) \mathbf { j } + z \mathbf { k } \text { and let } S \text { be the surface bounded by the }$ plane $2 x + 4 y + 2 z = 12$ and the coordinates planes. Verify the Divergence Theorem by evaluating $\iint_{S} \mathbf{F} \cdot \mathbf{N} d s$ as a surface integral and as a triple integral.

A) 43 
B) 36 
C) 6 
D) 18 
E) 23

Quizplus · Accepted Answer

The Answer of $\text { Let } \mathbf { F } ( x , y , z ) = ( 2 x - y ) \mathbf { i } - ( 2 y - z ) \mathbf { j } + z \mathbf { k } \text { and let } S \text { be the surface bounded by the }$ plane $2 x + 4 y + 2 z = 12$ and the coordinates planes. Verify the Divergence Theorem by evaluating $\iint_{S} \mathbf{F} \cdot \mathbf{N} d s$ as a surface integral and as a triple integral.

A) 43 
B) 36 
C) 6 
D) 18 
E) 23

Plane 2x+4y+2z=122 x + 4 y + 2 z = 122x+4y+2z=12

Plane $2 x + 4 y + 2 z = 12$