Explanation It is given that the wheel rotates 400 times in the first minute when pedaled by the person. After each minute, the number of times reduces to 3 4 of the times in the previous minute. As the values are a 1 = 400 and r = 3 4 , the number of times can be written as 400 + 3 4 ( 400 ) + ( 3 4 ) 2 400 + .... . The sum of infinite geometric series is given as a 1 1 − r where r ∈ ( − 1 , 1 )

Calculus With Applications, Books a la Carte Plus MyLab Math Package (11th Edition)

11th Edition

ISBN: 9780133886849

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 12.4, Problem 30E

To determine

To find: The number of times, the wheel rotates before coming to rest.

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Chapter 12.4, Problem 29E

Chapter 12.4, Problem 31E

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Chapter 12 Solutions

Calculus With Applications, Books a la Carte Plus MyLab Math Package (11th Edition)

Ch. 12.1 - Find the first four terms of the sequence having...Ch. 12.1 - Prob. 2YT Ch. 12.1 - Prob. 3YT Ch. 12.1 - Prob. 4YT Ch. 12.1 - Prob. 5YT Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - List the first n terms of the geometric sequence...Ch. 12.1 - Prob. 5E

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