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Assembly Time of a Worker In the following graph N(t) gives the number of smartp

ID: 2882254 • Letter: A

Question

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 lessthanorequalto t lessthanorequalto 4. The point P is an inflection point. 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? At what time is the rate at which the smartphones are being assembled by the average worker greatest?

Explanation / Answer

(a)

between 8 a.m and 10 a.m the rate of smartphones assembeled by the average worker is geting faster

Between 10 a.m and 12 noon the rate is decreasing

(b)

It is greatest at 10 a.m

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