$\text { Identify any points at which the cycloid } x = \theta + \sin \theta , y = 1 - \cos \theta \text { is not smooth. }$

question 15

Multiple Choice

$\text { Identify any points at which the cycloid } x = \theta + \sin \theta , y = 1 - \cos \theta \text { is not smooth. }$

• A) not smooth when \(\theta = ( 2 n + 1 ) \pi\)
• B) smooth everywhere
• C) not smooth when \(\theta = ( 2 n ) \pi\)
• D) not smooth when \(\theta = \frac { 1 } { 2 } ( 2 n + 1 ) \pi\)
• E) not smooth when \(\theta = n \pi\)

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