1. The population, P, of a lakeside town with a large number of seasonal residents can be modelled using the function P(t) = 5000 sin [30(t – 7)] + 8000, where t ANSWERS 1. a) maximum 13 000, minimum 3000 b) maximum in October, at t = 10; minimum i April, at t = 4 c) 12 330 people d) January 6, t = 6 days, and July 24, t = 7 months 24 days 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? di When is the nonulation about 10.000?

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