The function A(x) = 0.003x³ -0.04x² +0.16x+0.05 approximates the blood alcohol concentration in a person's bloodstream x hours after drinking 8 ounces of a hard liquor. The function only applies to the interval [0,5]. On what time intervals is the blood alcohol concentration increasing? On what intervals is it decreasing? Determine the interval(s), if any, on which the blood alcohol concentration is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The blood alcohol concentration is increasing on the time interval(s) (Type your answer in interval notation. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed. Use a comma to separate answers as needed.) B. The blood alcohol concentration is never increasing.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The function A(x) = 0.003x³ -0.04x² +0.16x+0.05 approximates the blood alcohol concentration in a person's bloodstream x hours after drinking 8 ounces of a hard
liquor. The function only applies to the interval [0,5]. On what time intervals is the blood alcohol concentration increasing? On what intervals is it decreasing?
Determine the interval(s), if any, on which the blood alcohol concentration is increasing. Select the correct choice below and, if necessary, fill in the answer box to
complete your choice.
A. The blood alcohol concentration is increasing on the time interval(s)
(Type your answer in interval notation. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed. Use a comma to
separate answers as needed.)
B. The blood alcohol concentration is never increasing.
Transcribed Image Text:The function A(x) = 0.003x³ -0.04x² +0.16x+0.05 approximates the blood alcohol concentration in a person's bloodstream x hours after drinking 8 ounces of a hard liquor. The function only applies to the interval [0,5]. On what time intervals is the blood alcohol concentration increasing? On what intervals is it decreasing? Determine the interval(s), if any, on which the blood alcohol concentration is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The blood alcohol concentration is increasing on the time interval(s) (Type your answer in interval notation. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed. Use a comma to separate answers as needed.) B. The blood alcohol concentration is never increasing.
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