Chapter 11.3, Problem 43PE

(a)

To determine

The value of $\underset{t\to t_1}{\lim }p\left(t\right)$ and $p\left(t_1\right)$ from the given graph.

(b)

To determine

The continuity of the function $p\left(t\right)$ at $t_1$ from the given graph.

(c)

To determine

The value of $\underset{t\to t_2}{\lim }p\left(t\right)$ and $p\left(t_2\right)$ from the given graph.

(d)

To determine

The continuity of the function $p\left(t\right)$ at $t_2$ from the given graph.

(e)

To determine

The value of $\underset{t\to t_3}{\lim }p\left(t\right)$ and $p\left(t_3\right)$ from the given graph.

(f)

To determine

The continuity of the function $p\left(t\right)$ at $t_3$ from the given graph.

(g)

To determine

The value of $\underset{t\to t_4{}^{-}}{\lim }p\left(t\right)$ and $p\left(t_4\right)$ from the given graph.

(h)

To determine

The meaning of both the limit and the function value in part (g) in terms of the time in the course and the percentage of topics learned.