Let $\mathbf { F } ( x , y , z ) = x y \mathbf { i } + z \mathbf { j } + ( x + y ) \mathbf { k }$ and S is the region bounded by $x = 4 - z , y = 4$ and the coordinate planes. Using the Divergence Theorem, $\iint S$ $\mathbf { F } \cdot \mathbf { n } d S$ is

A)48
B)54
C)60
D)64
E)72

Question

Let

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

and S is the region bounded by

x = 4 - z , y = 4

and the coordinate planes. Using the Divergence Theorem,

\iint S

\mathbf { F } \cdot \mathbf { n } d S

is

A)48
B)54
C)60
D)64
E)72

Quizplus · Accepted Answer

The Answer of Let $\mathbf { F } ( x , y , z ) = x y \mathbf { i } + z \mathbf { j } + ( x + y ) \mathbf { k }$ and S is the region bounded by $x = 4 - z , y = 4$ and the coordinate planes. Using the Divergence Theorem, $\iint S$ $\mathbf { F } \cdot \mathbf { n } d S$ is

A)48
B)54
C)60
D)64
E)72

Let F(x,y,z)=xyi+zj+(x+y)k\mathbf { F } ( x , y , z ) = x y \mathbf { i } + z \mathbf { j } + ( x + y ) \mathbf { k }F(x,y,z)=xyi+zj+(x+y)k

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