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Roller Coaster 2: Figure 13-5n shows part of a roller coaster track. Its shape is a

Precalculus with Trigonometry: Concepts and Applications | 1st Edition | ISBN: 9781559533911 | Authors: Foerster ISBN: 9781559533911 468

Solution for problem 10 Chapter 13-5

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Precalculus with Trigonometry: Concepts and Applications | 1st Edition | ISBN: 9781559533911 | Authors: Foerster

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Problem 10

Roller Coaster 2: Figure 13-5n shows part of a roller coaster track. Its shape is a prolate cycloid (see 7) traced by a point P(x, y) on the flange of a wheel as the wheel rolls, without slipping, through an angle of t radians underneath the line y = 20. Point P(x, y), 12 feet from the center of the wheel, is at its top position, directly above the origin, when angle t = 0. The position vector (not shown) to point P(x, y) is the sum of four other vectors starting at the origin, . Find a vector equation for the track in terms of t. By plotting on your grapher, show that your equation is correct. Figure 13-5n

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Chapter 13-5, Problem 10 is Solved
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Textbook: Precalculus with Trigonometry: Concepts and Applications
Edition: 1
Author: Foerster
ISBN: 9781559533911

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Roller Coaster 2: Figure 13-5n shows part of a roller coaster track. Its shape is a

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