Chapter 14, Problem 18RE

a.

To determine

To evaluate: The value of $\underset{t\to 0}{\lim }r\left(t\right)$ and $\underset{t\to \infty }{\lim }r\left(t\right)$.

b.

To determine

To find: The value of $r^{\prime }\left(t\right)$ and evaluate $r^{\prime }\left(0\right)$.

c.

To determine

To find: The value of $r^{″}\left(t\right)$.

d.

To determine

To evaluate: The indefinite integral of ${\displaystyle \int r\left(t\right)}dt$.