Find the flux of the vector field F across the surface S in the indicated direction.
-$\mathrm { F } = 3 \mathrm { xi } + 3 \mathrm { yj } + 5 \mathbf { k }$; $\mathrm { S }$ is "nose" of the paraboloid $\mathrm { z } = 5 \mathrm { x } ^ { 2 } + 5 \mathrm { y } ^ { 2 }$ cut by the plane $\mathrm { z } = 4$; direction is outward
A) $\frac { 68 } { 5 } \pi$
B) $\frac { 28 } { 5 } \pi$
C) $\frac { 14 } { 5 }$
D) $- \frac { 68 } { 5 } \pi$

Question

Quizplus · Accepted Answer

The Answer of Find the flux of the vector field F across the surface S in the indicated direction.
-$\mathrm { F } = 3 \mathrm { xi } + 3 \mathrm { yj } + 5 \mathbf { k }$; $\mathrm { S }$ is "nose" of the paraboloid $\mathrm { z } = 5 \mathrm { x } ^ { 2 } + 5 \mathrm { y } ^ { 2 }$ cut by the plane $\mathrm { z } = 4$; direction is outward
A) $\frac { 68 } { 5 } \pi$
B) $\frac { 28 } { 5 } \pi$
C) $\frac { 14 } { 5 }$
D) $- \frac { 68 } { 5 } \pi$

Find the Flux of the Vector Field F Across the Surface