Find the Volume of the Solid Obtained by Rotating the Region

question 72

Multiple Choice

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. $y = \ln x , y = 1 , y = 5 , x = 0 ;$ about the $y -$ axis

• A) \(\frac { \pi } { 4 } \left( e ^ { 10 } - e \right)\)
• B) \(\frac { \pi } { 2 } \left( 1 - e ^ { 10 } \right)\)
• C) \(\frac { \pi } { 2 } \left( e ^ { 10 } - e ^ { 2 } \right)\)
• D) \(\frac { \pi e ^ { 10 } } { 2 }\)
• E) \(2 \pi \left( e ^ { 10 } - e ^ { 2 } \right)\)

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Definitions:

Humanistic Approach

A psychological perspective that emphasizes the study of the whole person and the uniqueness of each individual's experience.

Animal Research

Scientific studies conducted on animal subjects to gain insights into biology, behavior, diseases, and the testing of medicines and procedures intended for human use.

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