The logistic equation for the population (in thousands) of a certain species is given by dp/dt = 3p - 2p^2. Sketch the direction field by using either a computer software package or the method of isoclines. If the initial population is 3000 [that is, p(0) = 3], what can you say about the limiting population lim_t rightarrow + infintity p(t)? If p(0) = 0.8, what is lim_t rightarrow + infinity p(t)? Can a population of 2000 ever decline to 800?