Let $\mathbf { F } ( x , y , z ) = 2 x \mathbf { i } - 2 x \mathbf { j } + z ^ { 2 } \mathbf { k }$ and S is $x ^ { 2 } + y ^ { 2 } = 4,0 \leq z \leq 3$ .Using the Divergence Theorem, $\iint S$ $\mathbf { F } \cdot \mathbf { n } d S$ is

A) $12 \pi$
B) $18 \pi$
C) $24 \pi$
D) $30 \pi$
E) $36 \pi$

Question

Let

\mathbf { F } ( x , y , z ) = 2 x \mathbf { i } - 2 x \mathbf { j } + z ^ { 2 } \mathbf { k }

and S is

x ^ { 2 } + y ^ { 2 } = 4,0 \leq z \leq 3

.Using the Divergence Theorem,

\iint S

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

is

A) $12 \pi$
B) $18 \pi$
C) $24 \pi$
D) $30 \pi$
E) $36 \pi$

Quizplus · Accepted Answer

The Answer of Let $\mathbf { F } ( x , y , z ) = 2 x \mathbf { i } - 2 x \mathbf { j } + z ^ { 2 } \mathbf { k }$ and S is $x ^ { 2 } + y ^ { 2 } = 4,0 \leq z \leq 3$ .Using the Divergence Theorem, $\iint S$ $\mathbf { F } \cdot \mathbf { n } d S$ is

A) $12 \pi$
B) $18 \pi$
C) $24 \pi$
D) $30 \pi$
E) $36 \pi$

Let F(x,y,z)=2xi−2xj+z2k\mathbf { F } ( x , y , z ) = 2 x \mathbf { i } - 2 x \mathbf { j } + z ^ { 2 } \mathbf { k }F(x,y,z)=2xi−2xj+z2k

Let $\mathbf { F } ( x , y , z ) = 2 x \mathbf { i } - 2 x \mathbf { j } + z ^ { 2 } \mathbf { k }$