Find the Volume of the Solid Generated by Revolving the Region

question 114

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.
- $$y = - 4 x + 8 , y = 4 x , x = 0$$

• A) \(8 \pi\)
• B) \(96 \pi\)
• C) \(16 \pi\)
• D) \(32 \pi\)

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Definitions:

Genetic Dispositions

Inherited tendencies or vulnerabilities to exhibit traits or behaviors, including susceptibility to diseases.

Positive Reinforcement

A technique used in behavior modification that involves rewarding a desired behavior in order to increase the likelihood of its recurrence.

Negative Reinforcement

A behavioral principle where the removal of an unfavorable event or outcome after the display of a behavior increases the likelihood of that behavior being repeated in the future.

Latent Learning

Learning that occurs without any obvious reinforcement or immediate demonstration of the learned behavior.