Find the Volume of the Solid Generated by Revolving the Region

question 113

Multiple Choice

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

• A) \(27 \pi\)
• B) \(\frac { 297 } { 10 } \pi\)
• C) \(\frac { 513 } { 5 } \pi\)
• D) \(\frac { 297 } { 5 } \pi\)

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Definitions:

Intuitive-Feeling

A personality dimension that reflects a preference for relying on intuition and emotional considerations in decision making.

Self-Concept

A person's self-view, including their thoughts, feelings, and awareness of their own skills and characteristics.

Schwartz's Values Model

A theoretical model developed by Shalom H. Schwartz, representing universal human values as motivations and guiding principles for behavior.

Openness To Change

The willingness or propensity of individuals or organizations to adapt to new ideas, practices, or conditions.