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Show the population of clark county was always increasing

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Reference no: EM131563197

Question: Population growth in clark county clark county in nevada-dominated by greater las vegas-is one of the fastest-growing metropolitan areas in the united states. The population of the county from 1970 through 2000 is approximated by the function

P(t) = 44560t3 - 89394t2 + 234633t + 273288         (0 ≤ t ≤ 4)

Where t is measured in decades, with t 0 corresponding to the beginning of 1970.

A. Show that the population of clark county was always increasing over the time period in question. Hint: show that p'(t) > 0 for all t in the interval (0, 4).

B. Show that the population of clark county was increasing at the slowest pace some time toward the middle of august 1976.

Reference no: EM131563197

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