Consider the rolling circle of radius a tha! was used to

Chapter 8, Problem 63

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Consider the rolling circle of radius a tha! was used to generate th cycloid in Example 5 of Section 9.4. Suppose that this circle is the rim of a disk, and let 0 be a point of this disk at distance b < c from its center. Find parametric equations for the curve traced by 0 as the circle lolls along the .r-axis. Assume that 0 begins at the point (0. a - b). Sketch this curve. which is called a trochoid.

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