Another model that can be used to represent population growth is the Gompertz equation

Chapter 6, Problem 4

(choose chapter or problem)

Another model that can be used to represent population growth is the Gompertz equation, which is the solution of the differential equation where is a constant and is the carrying capacity. (a) Solve the differential equation. (b) Use a graphing utility to graph the slope field for the differential equation when and (c) Describe the behavior of the graph as (d) Graph the equation you found in part (a) for and Determine the concavity of the graph and how it compares with the general solution of the logistical differential equation. 3xy

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