Chapter 13.2, Problem 1E

To determine

(a)

To draw:

The vector $r\left(4.5\right)-r\left(4\right)$ and $r\left(4.2\right)-r\left(4\right)$

To determine

(b)

To draw:

The vectors $\frac{r\left(4.5\right)-r\left(4\right)}{0.5}$ and  $\frac{r\left(4.2\right)-r\left(4\right)}{0.2}$

To determine

(c)

To write:

An expression for $r^{\text{'}}\left(4\right)$ and unit tangent vector $T\left(4\right).$

To determine

(d)

To draw:

The vector $T\left(4\right).$