According to the South Air Quality Management, the level of nitrogen dioxide, a brown gas that impairs breathing, present in the atmosphere on a certain May day in downtown LA is approximated by A(t) = 0.063t3(t - 7)4 + 20.2       ; (0 < t < 7), where A(t) is measured in pollutant standard index and t is measured in hours, with t 0 corresponding to 7am. Find A'(3).

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Chapter5: Exponential And Logarithmic Functions
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According to the South Air Quality Management, the level of nitrogen dioxide, a brown gas that impairs breathing, present in the atmosphere on a certain May day in downtown LA is approximated by

A(t) = 0.063t3(t - 7)4 + 20.2       ; (0 < t < 7), where A(t) is measured in pollutant standard index and t is measured in hours, with t 0 corresponding to 7am.

Find A'(3).

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