Find the Flux of the Vector Field F Across the Surface

question 40

Multiple Choice

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) \(- \frac { 68 } { 5 } \pi\)

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Definitions:

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