circle has a parametrization
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The cycloid generated by the unit circle has parametrization
r(t)=⟨t−sint,1−cost⟩
(a) Find the value of t in
[0,2π]
where the speed is at a maximum. (b) Show that one arch of the cycloid has length 8. Recall the identity
sin2(t/2)=(1−cost)/2.
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