In Exercise 61 in the section on Polynomial and Rational Functions, we gave the function defined by

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In Exercise 61 in the section on Polynomial and Rational Functions, we gave the function defined by A(x) = 0.003631x3 - 0.03746x2 + 0.1012x + 0.009 as the approximate blood alcohol concentration in a 170-lb woman x hours after drinking 2 oz of alcohol on an empty stomach, for x in the interval [0, 5].

(a) On what time intervals is the alcohol concentration increasing? Interpret your results.
(b) On what intervals is it decreasing? Interpret your results.

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