Homework 8-4 Progress saved Done Score: 0/5 0/5 answered Eli/5C. . Question 1 v 80/1 pt '0 3 Z 19 G) Details Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 3700. The number of fish doubled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation dP P _: P 1__ dt k ( K)' determine the constant k, and then solve the equation to find an expression for the size of the population after t years. P(t) : l: (b) How long will it take for the population to increase to 1850 (half of the carrying capacity)? It will take C] years. Question Help: El Video 8 Message instructor D Post to forum Submit Question Homework 8.4 Progress saved Done Score: 0/5 0/5 answered Vo . Question 2 > 0/1 pt 9 3 19 0 Details A population P obeys the logistic model. It satisfies the equation dP 7 P(5 - P) for P > 0. dt 500 (a) The population is increasing when (c) Assume that P(0) = 2. Find P(44). P(44) = Question Help: DVideo 1 D Video 2 Message instructor Post to forum Submit Question 25 A