Assembly Time of a Worker In the following graph, N(t) gives the number of smartphones assembled by the average worker by the tth hr, where t= 0 corresponds to 8 A.M. and 0 st s 4. The point an inflection point. y = N(t) K P 2 4 t (hr) (a) What can you say about the rate of change of the rate of change of the number of smartphones assembled by the average worker between 8 A.M. and 10 A.M.? Between 10 A.M. and 12 noon? O Between 8 A.M. and 12 noon the rate of change of the rate of smartphones assembled is neither increasing nor decreasing. O Between 8 A.M. and 10 A.M. the rate of change of the rate of smartphones assembled is increasing; between 10 A.M. and 12 noon, that rate is decreasing. O Between 8 A.M. and 10 A.M. the rate of change of the rate of smartphones assembled is decreasing; between 10 A.M. and 12 noon, that rate is increasing. O Between 8 A.M. and 12 noon the rate of change of the rate of smartphones assembled is increasing. O Between 8 A.M. and 12 noon the rate of change of the rate of smartphones assembled is decreasing. (b) At what time is the rate at which the smartphones are being assembled by the average worker greatest? hr

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