Biologists stocked a lake with fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be . The number of fish tripled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation determine the constant , and then solve the equation to find an expression for the size of the population after years. , . (b) How long will it take for the population to increase to (half of the carrying capacity)
