Find the Flux of the Vector Field F Across the Surface

question 197

Multiple Choice

Find the flux of the vector field F across the surface S in the indicated direction.
- $\mathbf { F } ( \mathrm { x } , \mathrm { y } , \mathrm { z } ) = 12 \mathrm { x } + 12 \mathrm { y } \mathbf { j } + 12 \mathrm { z } \mathbf { k } , \mathrm { S }$ is the surface of the sphere $\mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } + \mathrm { z } ^ { 2 } = 1$ in the first octant, direction away from the origin

• A) \(4 \pi\)
• B) \(6 \pi\)
• C) \(3 \pi\)
• D) 0

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Definitions:

Competent

Having the necessary ability, knowledge, or skill to do something successfully or efficiently.

Outgroup Homogeneity Effect

The perception that members of an outgroup are more similar to each other than they actually are, often leading to stereotyping.

Similar

Having a resemblance or likeness, often referring to characteristics or qualities that are common between entities.

Ultimate Attribution Error

A bias in which negative behaviors by out-group members are attributed to their character, while similar actions by in-group members are attributed to situational factors.