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Consider a particle following the parametric equations

 

\(\begin{align*} x &= 1 + \sin (\pi t),\\ y &= 3 \sin (\pi t). \end{align*}\)


Find the first four positive times "t" when this particle visits the point (3/2, 3/2) and list them in increasing order.

 May 8, 2021
 #1
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The first four times are 5/6, 7/6, 11/6, 13/6.

 May 8, 2021

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