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Consider a particle following the parametric equations below. What is the speed of the particle, and is it moving clockwise or counter-clockwise?

 

\(\begin{align*} x &= 3 + 2 \sin (2t),\\ y &= 4 + 2 \cos (2t). \end{align*}\)

 May 7, 2021
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The speed of the particle is 2, moving CCW.

 May 7, 2021

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