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Find the Volume of the Solid Generated by Revolving the Region

question 134

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Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line. Sketch the region and a representative rectangle.
y=x1,y=x1;y = \sqrt { x - 1 } , y = x - 1 ; the line x=2x = 2

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Definitions:

Personality

A unique set of emotional, thought, and behavioral patterns that define an individual's typical responses to situations.

Pleasure Principle

A theory in psychoanalytic psychology proposing that people seek pleasure and avoid pain to satisfy biological and psychological needs.

Reality Principle

A psychoanalytic concept where the ego seeks to satisfy the id’s desires in realistic and socially appropriate ways.

Ego

In psychoanalytic theory, the part of the personality that mediates between the demands of the id, superego, and reality.

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