Find the Volume of the Solid Generated by Revolving the Region

question 118

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 = 3x, y = 3, x = 0

• A) \(6 \pi\)
• B) \(\frac { 3 } { 2 } \pi\)
• C) \(9 \pi\)
• D) \(3 \pi\)

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Definitions:

Postganglionic Sympathetic

Refers to the neurons in the sympathetic nervous system that transmit nerve impulses away from the ganglia to target organs.

Preganglionic Sympathetic

Pertains to the neurons that run from the central nervous system to a ganglion in the sympathetic part of the autonomic nervous system.

Acetylcholine

A neurotransmitter in the body that is involved in muscle activation, heart rate, and many other functions in the nervous system.

Autonomic Muscarinic Receptors

A type of receptor located in the autonomic nervous system that responds to the neurotransmitter acetylcholine.