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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 cent 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.)

a) Arc length of a curve: Set up but do not compute an integral for the circumference of the circle with cent 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.)

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality
Section: Chapter Questions
Problem 38A
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### Arc Length of a Curve #### a) Setting Up the Arc Length Integral Set up, but **do not compute**, an integral for the circumference of the circle with center 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.) #### b) Computing the Integral Use your calculator or an app such as Wolfram Alpha to compute the integral above.
Transcribed Image Text:### Arc Length of a Curve #### a) Setting Up the Arc Length Integral Set up, but **do not compute**, an integral for the circumference of the circle with center 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.) #### b) Computing the Integral Use your calculator or an app such as Wolfram Alpha to compute the integral above.
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