Let P represent the number of fish in a lake. Suppose this

Last updated: 7/9/2022

Let P represent the number of fish in a lake. Suppose this naturally changes over time t, abeying dP/dz = P(1-P, 10-¹). A. Find and classify the critical points (A.K.A equilibrium solutions to this. B. Suppose some nearby people start eating the fish. They eat as much as they can, but the methods of 6shing will only successfully capture 3/4 of the fish at any given time. Create a new differential equation for that models this new situation. C. Suppose P(0) 500 in your answer to (8) What is lim P(t)