$\text { Let } \mathbf { F } ( x , y , z ) = x y \mathbf { i } + z \mathbf { j } + ( x + y ) \mathbf { k } \text { and let } S \text { be the surface bounded by the planes }$ $y = 4$ and $z = 4 - x$ and the coordinate 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. Round your answer to two decimal places wherever applicable.

A) $76.25$
B) $85.33$
C) $156.25$
D) $64.00$
E) $20.25$

Question

$\text { Let } \mathbf { F } ( x , y , z ) = x y \mathbf { i } + z \mathbf { j } + ( x + y ) \mathbf { k } \text { and let } S \text { be the surface bounded by the planes }$ $y = 4$ and $z = 4 - x$ and the coordinate 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. Round your answer to two decimal places wherever applicable.

A) $76.25$ 
B) $85.33$ 
C) $156.25$ 
D) $64.00$ 
E) $20.25$

Quizplus · Accepted Answer

The Answer of $\text { Let } \mathbf { F } ( x , y , z ) = x y \mathbf { i } + z \mathbf { j } + ( x + y ) \mathbf { k } \text { and let } S \text { be the surface bounded by the planes }$ $y = 4$ and $z = 4 - x$ and the coordinate 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. Round your answer to two decimal places wherever applicable.

A) $76.25$ 
B) $85.33$ 
C) $156.25$ 
D) $64.00$ 
E) $20.25$

y=4y = 4y=4 And z=4−xz = 4 - xz=4−x And the Coordinate Planes

$y = 4$ And $z = 4 - x$ And the Coordinate Planes