### Home > CALC > Chapter 12 > Lesson 12.1.2 > Problem 12-25

12-25.

Given the logistic differential equation from problem 12-24, determine the size of the population when it is changing most rapidly. What is the significance of this value? Homework Help ✎

This occurs when *dP*/*dt* is a maximum. Or, when *d*^{2}*P*/*dt*^{2} = 0.

The carrying capacity is 800 sea lions.