A particle moves in the xy-plane in such a way that its position at time t is r(t) = (t - sin t) i + (1 - cos t) j. a. Graph r(t). The resulting curve is a cycloid. b. Find the maximum and minimum values of lvl and la. (Hint: Find the extreme values of lvl and lal first and take square roots later.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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A particle moves in the xy-plane in such a way that its position at time t is r(t) = (t - sin t) i + (1 - cos t) j.
a. Graph r(t). The resulting curve is a cycloid.
b. Find the maximum and minimum values of lvl and [al. (Hint: Find the extreme values of lvl and lal first and take square roots later.)
Transcribed Image Text:A particle moves in the xy-plane in such a way that its position at time t is r(t) = (t - sin t) i + (1 - cos t) j. a. Graph r(t). The resulting curve is a cycloid. b. Find the maximum and minimum values of lvl and [al. (Hint: Find the extreme values of lvl and lal first and take square roots later.)
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