Find the flux of the vector field F across the surface S in the indicated direction.
-$\mathbf { F } ( x , y , z ) = z k , S$ is the surface of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$ in the first octant, direction away from the origin
A) $\frac { 8 } { 3 } \pi$
B) $\frac { 4 } { 3 } \pi$
C) 0
D) $2 \pi$

Question

Quizplus · Accepted Answer

The Answer of Find the flux of the vector field F across the surface S in the indicated direction.
-$\mathbf { F } ( x , y , z ) = z k , S$ is the surface of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$ in the first octant, direction away from the origin
A) $\frac { 8 } { 3 } \pi$
B) $\frac { 4 } { 3 } \pi$
C) 0
D) $2 \pi$

Find the Flux of the Vector Field F Across the Surface