Chapter 13.3, Problem 27E

To determine

a)

To evaluate the arc length integral $s\left(t\right)={\displaystyle \underset{0}{\overset{t}{\int }}\Vert \stackrel{·}{r}\left(u\right)\Vert }du$

To determine

b)

To find the inverse $g\left(s\right)$ of $s\left(t\right)$

To determine

c)

To verify that $r_1\left(s\right)=r\left(g\left(s\right)\right)$ is an arc length parametrization.