Consider the differential equation for the population p (in thousands) of a...

Consider the differential equation

for the population p (in thousands) of a certain species at time t.

(a) Sketch the direction field by using either a computer software package or the method of isoclines.

(b) If the initial population is 4000 [that is, P (0) = 4] , what can you say about the limiting population

(c) If P (0)= 1.7, what is

(d) If p (0)= 0.8, what is

(e) Can a population of 900 ever increase to 1100?