Chapter 1.3, Problem 14E

To determine

(a)

To explain:

The change in population $N$ with time in general terms.

To determine

(b)

To find:

The year when the population reach $80$ thousand.

To determine

(c)

To find:

The solution of equation $N\left(d\right)$.

To determine

(d)

To find:

The period when the graph concave up, and explain the meaning of this concavity.

To determine

(e)

To find:

The period when the graph concave down, and explain the meaning of this concavity.

To determine

(f)

To find:

The inflection point on graph, and interpret it in terms of growth rate.

To determine

(g)

To find:

The environmental carrying capacity of the reserve.

To determine

(h)

To sketch:

The new graph of $N\left(d\right)$ under the given scenario.