The population of a town changes in a sinusoidal pattern throughout the year. The maximum population is 16 000 people in February. After six month, the population reaches its lowest number of 6 000 people.   (A)Display the population p (t) of the town with respect to time t in months starting from the beginning of the year.  (B)Find a sine function to model the graph.  (C)Evaluate, during which months population is greater than 12000?

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