Here is a heuristic argument to determine the behavior of the curve (5). If c1=0, then we have a logistic curve, and if c =0, then we have the behavior described in Exercise 2. Thus, if c is large relative to c', then we have a logistic curve, and if c is small relative to c' then we have the behavior illustrated in Exercise 2.) Let p(t) satisfy (4). Show that(b) Show that p(t) has a point of inflection, at which dp/dt achieves a maximum,if, and only if, cl/c < N.(c) Assume that p(t) has a point of inflection at t= t*. Show that p(t*) < N/2.

Week 11 (start of exam 3 material) Continuity: A function f is continuous at a if lim fx = f a) x→a Continuity requires 3 things for f (x): 1. f(a) is defined lim f(x)∃ 2. x→a lim f(x)= f(a) 3. x→a Understand the meaning of continuous from the left...