Let $\mathbf { F } ( x , y , z ) = 4 x \mathbf { i } - 3 y \mathbf { j } + 5 \mathbf { k }$ and S is $x ^ { 2 } + y ^ { 2 } = z$ such that $x ^ { 2 } + y ^ { 2 } \leq 4$ Then the flux of $\text { F }$ through S is

A)24?
B)20?
C)18?
D)16?
E)12?

Question

Let

\mathbf { F } ( x , y , z ) = 4 x \mathbf { i } - 3 y \mathbf { j } + 5 \mathbf { k }

and S is

x ^ { 2 } + y ^ { 2 } = z

such that

x ^ { 2 } + y ^ { 2 } \leq 4

Then the flux of

\text { F }

through S is

A)24?
B)20?
C)18?
D)16?
E)12?

Quizplus · Accepted Answer

The Answer of Let $\mathbf { F } ( x , y , z ) = 4 x \mathbf { i } - 3 y \mathbf { j } + 5 \mathbf { k }$ and S is $x ^ { 2 } + y ^ { 2 } = z$ such that $x ^ { 2 } + y ^ { 2 } \leq 4$ Then the flux of $\text { F }$ through S is

A)24?
B)20?
C)18?
D)16?
E)12?

Let F(x,y,z)=4xi−3yj+5k\mathbf { F } ( x , y , z ) = 4 x \mathbf { i } - 3 y \mathbf { j } + 5 \mathbf { k }F(x,y,z)=4xi−3yj+5k

Let $\mathbf { F } ( x , y , z ) = 4 x \mathbf { i } - 3 y \mathbf { j } + 5 \mathbf { k }$