Find the Flux of the Vector Field F Across the Surface

question 124

Multiple Choice

Find the flux of the vector field F across the surface S in the indicated direction.
- $\mathbf { F } = 2 \mathrm { x } ^ { 2 } \mathrm { j } - \mathrm { z } ^ { 3 } \mathrm { k } ; \mathrm { S }$ is the portion of the parabolic cylinder $\mathrm { y } = 2 \mathrm { x } ^ { 2 }$ for which $0 \leq \mathrm { z } \leq 1$ and $- 1 \leq \mathrm { x } \leq 1$ ; direction is outward (away from the $y - z$ plane)

• A) 4
• B) \(\frac { 4 } { 3 }\)
• C) \(- 4\)
• D) \(- \frac { 4 } { 3 }\)

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Definitions:

Confederate

in psychological experiments, refers to an individual who is part of the research team but is presented as a participant to manipulate social interactions.

Conformity

The act of matching attitudes, beliefs, and behaviors to group norms or societal standards.

Group

Refers to a number of individuals gathered together, often with common interests or objectives, interacting and functioning as a collective unit.

Groupthink

A psychological phenomenon that occurs within a group of people, where the desire for harmony or conformity results in an irrational or dysfunctional decision-making outcome.