Find the Volume of the Solid Generated by Revolving the Region

question 125

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.
- $$y = x ^ { 2 } + 5 , y = 3 x + 5$$

• A) \(\frac { 279 } { 10 } \pi\)
• B) \(27 \pi\)
• C) \(\frac { 387 } { 5 } \pi\)
• D) \(\frac { 693 } { 5 } \pi\)

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Definitions:

Schachter Two-factor Theories

A psychological perspective that emotional experience arises from physiological arousal and cognitive labeling of the reason for this arousal.

Autonomic Activation

The stimulation of the autonomic nervous system, which controls involuntary bodily functions and responses to stress.

Schachter Two-factor Theory

A theory suggesting that emotions are determined by physiological arousal and the cognitive interpretation of that arousal.

Common Sense Theory

The belief that perceptions or beliefs deemed as "common sense" are inherently true or valid.