The path of a point on the rim of a wheel of radius a that is rolling on a horizontal surface has parametric equations x = a(t - sin t), y = a (1 - cos t), for t ? 0. Estimate the value of a for the cycloid curve.Cycloid: x = 3(t - sin t), y= 3(1 - cos t), 0 ? t ? 6?

A. a = 3?
B. a = 
C. a = 1
D. a = 3


Answer: D

Mathematics

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