Air pollution according to the south coast air quality


Question: AIR POLLUTION According to the South Coast Air Quality Management District, the level of nitrogen dioxide, a brown gas that impairs breathing, present in the atmosphere on a certain May day in downtown Los Angeles is approximated by

A(t) = 0.03t3(t - 7)4 + 60.2             (0 ≤ t ≤ 7)

where A(t) is measured in pollutant standard index and t is measured in hours, with t = 0 corresponding to 7 a.m.

a. Find A'(t).

b. Find A'(1), A'(3), and A'(4) and interpret your results.

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Mathematics: Air pollution according to the south coast air quality
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