Solve the Problem Radii Change the Flux

question 118

Essay

Solve the problem.
- $$\text { What can be said about the flux of } \mathbf { F } = \frac { x \mathbf { i } + \mathrm { y } \mathbf { j } + \mathrm { zk } } { \left( \sqrt { \mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } + \mathrm { z } ^ { 2 } } \right) ^ { 3 } } \text { across a sphere centered at the origin? Will differing }$$ radii change the flux?

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Definitions:

Self-actualizers

Individuals who have fulfilled their potential and have realized their abilities, often associated with Maslow's hierarchy of needs.

Maslow

Abraham Maslow was an American psychologist who is best known for creating Maslow's hierarchy of needs, a theory of psychological health predicated on fulfilling innate human needs.

Accept

To receive willingly or agree to something with approval or favorable reception.

Self-actualizers

Individuals who have realized their potentials and capabilities, achieving the highest level of personal growth and fulfillment.