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Let \(\mathcal{G}\) be the graph of the parametric equations \(\begin{align*} x&=1+\sin s,\\ y&=2-\cos(2s) \end{align*}\) for all \(s\) in the interval \([0,\pi)\).

To what interval must we restrict the parameter \(t\) if the graph of the parametric equations \(\begin{align*} x&=t+1,\\ y&=2t^2 +1 \end{align*}\)
for \(t\) in that interval produces the same graph \(\mathcal{G}\)?

 Nov 5, 2019
 #1
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The answer is [3,5].

 Nov 6, 2019

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