2. The population P, of a lakeside town with a large number of seasonal residents can be modeled using the function P(t) = 5000 sin[30(t - 7)] + 8000, where t is the number of months after New Year's Day. a. Find the maximum and minimum values for the population over a whole year. b. When is the population a maximum? When is it a minimum? c. What is the population on September 30? d. When is the population about 10 000