A company introduces a new product for which the number of units sold S is given by the equation below, where t is the time in months. (Let t = 0 correspond to midnight January 1, t = 1 corresponds to midnight February 1, and so on throughout the year.) S(t) = 245(7-(7/(2+t))) where t is the time in months. a) find the average rate of change (in units/month) of S during the first year. Answer: ? units/month b) During what month of the first year does S'(t)equal the average rate of change? Answer: ?

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