Find the Area of the Surface Obtained by Revolving the Given

question 83

Essay

Find the area of the surface obtained by revolving the given curve about the x-axis. on [0, 1]

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Definitions:

Motility

The capability of cells, organisms, or substances to move actively and spontaneously, often as part of physiological processes.

Digestive Tract

A series of hollow organs joined in a long, twisting tube from the mouth to the anus, where food is broken down and nutrients absorbed.

Vagus Nerve

The tenth cranial nerve, which is a long and complex nerve extending from the brainstem to the abdomen, involved in controlling the heart, lungs, and digestive tract, as well as mediating visceral reflexes and sensations.

Sympathetic Innervation

Part of the autonomic nervous system that generally stimulates the body's fight-or-flight response, increasing heart rate and blood flow, among other functions.