Suppose that the wheel of Problem 18 turns at a constant rate w = dθ/dt, where t

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Suppose that the wheel of Problem 18 turns at a constant rate w = dθ/dt, where t is time. Then θ = wt.
(a) Show that the speed ds/dt of P along the cycloid is
Suppose that the wheel of Problem 18 turns at a

(b) When is the speed a maximum and when is it a minimum?
(c) Explain why a bug on a wheel of a car going 60 miles per hour is itself sometimes traveling at 120 miles per hour.

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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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