a) Arc length of a curve: Set up but do not compute an integral for the circumference of the circle with cente at the origin and radius of r. (Take advantage of the symmetry of this circle to keep your integral simpler and easier to set up, e.g., compute the portion of the circumference in the first quadrant then scale it up to the whole circle.)

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 55P: The arc length formula says the length sof arc subtended by angle in a circle of radius r is given...
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a) Arc length of a curve: Set up but do not compute an integral for the circumference of the circle with cente
at the origin and radius of r. (Take advantage of the symmetry of this circle to keep your integral simpler and
easier to set up, e.g., compute the portion of the circumference in the first quadrant then scale it up to the
whole circle.)
Transcribed Image Text:a) Arc length of a curve: Set up but do not compute an integral for the circumference of the circle with cente at the origin and radius of r. (Take advantage of the symmetry of this circle to keep your integral simpler and easier to set up, e.g., compute the portion of the circumference in the first quadrant then scale it up to the whole circle.)
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Arc length in one quadrant

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