Question: The polynomial function A(x) = 0.003631x 3 - 0.03746x 2 + 0.1012x + 0.009 gives the approximate blood alcohol concentration in a 170-lb woman x

The polynomial function A(x) = 0.003631x³ - 0.03746x² + 0.1012x + 0.009 gives 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) Graph A(x) on 0 ≤ x ≤ 5.
(b) Using the graph from part (a), estimate the time of maximum alcohol concentration.
(c) In many states, a person is legally drunk if the blood alcohol concentration exceeds 0.08%. Use the graph from part (a) to estimate the period in which this 170-lb woman is legally drunk.

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