Question: If \(x\left( t \right)=\left( t,\sin 4t,\cos 4t \right),\,\,0\le t\le \pi \), find

1. The velocity, speed and acceleration at any time
2. The length of the arc of the curve
3. A parametrization of the curve by arc length
4. \(T,N\) and \(\kappa \) at \(t=\frac{\pi }{2}\)
5. The tangential and normal components of acceleration

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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document