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 wamap.org Home | My Classes . | User Settings | Log Out Masoud Atbudaydi Course Messages Forums Calendar Gradebook Home > Math 152 Calculus II Winter 2023 > Assessment Homework 8.4 Progress saved Done Voce Score: 3/5 4/5 answered X Question 1 0/1 pt 9 1-2 2 19 0 Details Score on last try: 0 of 1 pts. See Details for more. > Next question Get a similar question You can retry this question below 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 dt - KP (1 - P K determine the constant k, and then solve the equation to find an expression for the size of the population after t years. k = |1.504077 x 1750000 P(t) = -1.504077t X 500 + 3000e (b) How long will it take for the population to increase to 1850 (half of the carrying capacity)? It will take | 1.2 years . Question Help: Video Message instructor Post to forum Submit