Chapter 1.3, Problem 5E

To determine

(a)

To sketch:

The direction field for $\frac{dp}{dt}=3p-2p^2$.

To determine

(b)

To find:

The limiting population $\underset{t\to \infty }{\lim }p\left(t\right),$ if the initial population is 3000

To determine

(c)

To find:

The value of $\underset{t\to \infty }{\lim }p\left(t\right)$ if $p\left(0\right)=0.8$

To determine

(d)

To answer:

Can a population decline to 800