Question

Suppose that a population develops according to the logistic equation
dP/dt = 0.06P−0.0001P^2
where t is measured in weeks.
1) The carrying capacity is .
2) The growth rate k is .
Use your calculator to sketch a direction field for this equation. Sketch the
solutions for the initial populations 200,600, and 800.
3) Which of these initial population(s) decrease?
4) Which solution(s) have an inflection point?
5) What are the non-zero equilibrium solution(s)?

Answer 1

since the curve is a parabola, there is no inflection point. Since #1 #2 do not provide any useful data, the other items are hard to figure.