The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the atmosphere on a certain May day in a city has been approximated by

?



?

where ?A?(?t) is measured in pollutant standard index (PSI), and t is measured in hours, with  corresponding to 5 a.m. Use the trapezoidal rule with  to estimate the average PSI between 5 a.m. and noon. Please round the answer to the nearest hundredth. (Hint: .)

?

__________ nitrogen dioxides



Fill in the blank(s) with the appropriate word(s).


105.65

Mathematics

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A.
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