(10 Points) Question 4: The logistic equation for the population (in thousands) of a certain species is given by dp = 3p - 2p2. dt (a) Sketch the direction field by using Geogebra. (b) If the initial population is 3000 (that is, p(0) = 3), what can you say about the limiting population as t - +0. (c) If p(0) = 0.8, what is lim +too p(t)? (d) Can a population of 2000 ever decline to 800? Show this argu- ment by plotting the curve in Geogebra