Use a graphing utility to graph each set of parametric equations.                     x = t − sin t, y = 1 − cos t, 0 ≤ t ≤ 2π                                                                 x = 2t − sin(2t), y = 1 − cos(2t), 0 ≤ t ≤ π                                                          (a) Compare the graphs of the two sets of parametric equations in earlier part. When the curve represents the motion of a particle and t is time, what can you infer about the average speeds of the particle on the paths represented by the two sets of parametric equations?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CR: Chapter Review
Problem 9CC
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Use a graphing utility to graph each set of parametric equations.                     x = t − sin t, y = 1 − cos t, 0 ≤ t ≤ 2π                                                                 x = 2t − sin(2t), y = 1 − cos(2t), 0 ≤ t ≤ π                                                          (a) Compare the graphs of the two sets of parametric equations in earlier part. When the curve represents the motion of a particle and t is time, what can you infer about the average speeds of the particle on the paths represented by the two sets of parametric equations?

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