Let R Be Region Bounded by the Curve $4 y = x ^ { 2 } , x = 2 y - 4$

question 15

Essay

Let R be region bounded by the curve $4 y = x ^ { 2 } , x = 2 y - 4$ .(a) Find the volume of the solid obtained by rotating R about the x-axis.(b) Find the volume of the solid obtained by rotating R about the line x = 5.(c) Find the volume of the solid obtained by rotating R about the line y = -1.

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Definitions:

Vaginismus

A condition involving involuntary muscle spasm in the pelvic floor that interferes with sexual intercourse or any attempt at vaginal insertion.

Muscle Spasms

Involuntary contractions or sudden movements of a muscle or group of muscles, often associated with pain.

Vestibule

The area enclosed by the labia minora.

Spectatoring

The process in which a person becomes a spectator of his or her sexual activities, thereby often causing sexual function difficulties.