Biologists stocked a lake with SUI] fish and estimated the carrying capacity {the maximal population for the fish of that species in that lake} to be 580D. The number of fish tripled in the first year. {a} Assuming that the size of the fish population satisfies the logistic equation dP P E=Mj(1_f)* determine the constant k, and then solve the equation to find an expression for the size of the population after t years. |_ | , em = |_ [b] How long will it take for the population to increase to 29m} [half of the carrying capacity}? It will takel years