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

question 35

Multiple Choice

$\text { Let } \mathbf { F } ( x , y , z ) = ( 2 x - y ) \mathbf { i } - ( 2 y - z ) \mathbf { j } + z \mathbf { k } \text { and let } S \text { be the surface bounded by the }$ 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

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