Chapter 14.3, Problem 27E

a.

To determine

To Find:Evaluate the arc length integral $s=g(t)={\displaystyle \underset{0}{\overset{1}{\int }}\Vert r\text{'}(u)\Vert }du$

b.

To determine

To Find:the inverse $g^{-\text{'}}(s)$ of $g(t)$ .

c.

To determine

To Find:Verify that $r_t(s)=r(g^{-\text{'}}(s))$ is an arc length parametrization.