21. AsseMBLY TIME OF A WORKER In the following graph, N(t) gives the number of s

Question

21. 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 s ts 4. The point P is an inflection point 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? b. At what time is the rate at which the smartphones are being assembled by the average worker greatest? y=N(t)

Explanation / Answer

a)between 8 AM to 10 AM rate of change of number of smartphones assembled is increases since slope increases

And between 10 AM to 12 noon rate decrease as slope decreases

b) hear at t = 2 means at 10 AM rate is maximum since it is point of inflection ( maximum slope)

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