1. A city averages 14cm monthly precipitation in July 10cm in January. Assume that the monthly precipitation varies sinusoidally over a period of one year, with July has the maximum time and January has the minimum Write an expression for n, the number of monthly precipitation in centimeters, as a cosine/sine function of t. Lett be in months an t-1 correspond to the month of January. a) Determine two equations that models monthly precipitation. Hint: Make a quick ske the scenario. (27) b) What is the average amount of monthly precipitation in August? (2A) c) What is the average rate of change from June to August? (2A) d) What is the instantaneous rate of change in August? (3A)

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