Example 2-2-6 - Maple Help

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Chapter 2: Space Curves



Section 2.2: Arc Length as Parameter



Example 2.2.6



 a) Obtain the arc-length function for the curve , where $p\in \left[0,\infty \right).$
 b) Invert $s=s\left(p\right)$ to obtain $p=p\left(s\right)$ and reparametrize the curve with the arc length $s$ as the parameter.
 c) Show that $∥\frac{d\mathbf{R}}{\mathrm{ds}}∥=1$.







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