Show that the solution of the logistic equation dN/dt = N(a-bN)

has an inflection point at a population equal to 1/2 the saturation level. (population level a/b called the saturation level)

Explain why the sketches in fig 38.2 do not have inflection points

( it is a simple logistic growth model but has no inflection points, only a line with only growth and another with only decay)

Thanks for any help!