(N The rates of change in population for two cities are P'(t) = 42 for Alphaville and To Q'(t) = 105 e 0.06t for Betaburgh, where t is the number of years since 1990, and P' and Q' are measured in people per year. In 1990, Alphaville had a population of 6000, and Betaburgh had a population of 3000. Answer parts a) through c). PD a) Determine the population models for both cities. urb The population model for Alphaville is P(t) = rn. mn