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

Question 63

Multiple Choice

 Let F(x,y,z) =xyi+zj+(x+y) k and let S be the surface bounded by the planes \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=4y = 4 and z=4xz = 4 - x and the coordinate planes. Verify the Divergence Theorem by evaluating SFNds\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.
\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


A) 76.2576.25
B) 85.3385.33
C) 156.25156.25
D) 64.0064.00
E) 20.2520.25

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