Chapter 8.6, Problem 15E

(a)

To determine

To show that: The tangent vectors ${\text{y}}^{\prime }\left(1\right)$ and ${\text{z}}^{\prime }\left(0\right)$ are equal.

(b)

To determine

To show that: The point ${\text{q}}_3$ is the midpoint of the segment from ${\text{q}}_2$ to ${\text{r}}_1$.

(c)

To determine

To explain: An algorithm for $\text{y}\left(t\right)$ and $\text{z}\left(t\right)$ in an efficient manner.