[10.3] - Reading Assignment

After reading section 10.3...

1. Why do we need to assume that the curve $C$ is traversed exactly once, as t increases, by the vector function $\myv r (t)$ in order to define the arc-length function $s = s (t)$?
   
   
   
   
   
   
   
   
2. For the curve at right, sketch in an approximation of the osculating circle at the point (1, 1).
3. Muddy questions? Questions you wonder about?