Use the Method of Cylindrical Shells to Find the Volume $\pi$

question 72

Multiple Choice

Use the method of cylindrical shells to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated axis. Sketch the region and a representative rectangle. y = , y = -x + 5; the y-axis

• A)250\(\pi\)
• B) \(\pi\)
• C) \(\pi\)
• D)250\(\pi\)

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Definitions:

Sigmund Freud

A neurologist from Austria who established psychoanalysis, a therapeutic approach that addresses mental disorders by facilitating conversations between a psychoanalyst and the patient.

Alfred Adler

An Austrian medical doctor and psychotherapist known for founding the school of individual psychology, which emphasizes the uniqueness of the individual and the role of societal factors in shaping personality.

Insight Therapies

Psychological treatments that involve verbal interactions intended to enhance clients' self-knowledge and thus promote healthful changes in personality and behavior.