The document presents a mathematical model of a density-dependent population growth described by the equation dnt/dt = 0.4 nt - 0.002 (nt)^2. It invites the reader to calculate the carrying capacity of the population and demonstrates how to approach the problem. The carrying capacity is a key point where the population size stabilizes.

1. 4. A density-dependent population grows according to dNt / dt = 0.4 Nt 0.002 ( Nt ) 2 , where Nt
is the population size at continuous time t . A. Find the carrying capacity of the population, Show
your work.