\f9. An animal population is modeled with the logistic equation parameters 50 = 0.2, 01 = 0.0001, and 60 = 0.1, where the units for all three parameters are {monthsl'1. Given the logistic equation dP _ a Purl. 51P an) and an initial animal population P(0} = 100: o How many months are expected to pass until the population is 500 animals? 0 In three years, how many animals are expected to be in the population