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When a drug is injected into the bloodstream of a patient through the right arm, the drug concentration in the bloodstream of the left arm t hours after the injection is approximated by at C(t) = t² + b' for some values a and b. Lab tests show that those values for Artecoadipine are a = 0.26 and b = 4.98, for 0 < t < 24. The model suggests that after injection, the drug concentration of Artecoadipine in the left arm is increasing until some time T hours, and decreasing afterward. Find T. Round to 2 decimal places. hours

When a drug is injected into the bloodstream of a patient through the right arm, the drug concentration in the bloodstream of the left arm t hours after the injection is approximated by at C(t) = t² + b' for some values a and b. Lab tests show that those values for Artecoadipine are a = 0.26 and b = 4.98, for 0 < t < 24. The model suggests that after injection, the drug concentration of Artecoadipine in the left arm is increasing until some time T hours, and decreasing afterward. Find T. Round to 2 decimal places. hours

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Drug Concentration When a drug is injected into the bloodstream of a patient through the right arm, the drug concentration in the bloodstream of the left arm t hours after the injection is approximated by at C(t) = t² + b' for some values a and b. Lab tests show that those values for Artecoadipine are a = 0.26 and b=4.98, for 0<t< 24. The model suggests that after injection, the drug concentration of Artecoadipine in the left arm is increasing until some time T hours, and decreasing afterward. Find T. Round to 2 decimal places. hours
Transcribed Image Text:Drug Concentration When a drug is injected into the bloodstream of a patient through the right arm, the drug concentration in the bloodstream of the left arm t hours after the injection is approximated by at C(t) = t² + b' for some values a and b. Lab tests show that those values for Artecoadipine are a = 0.26 and b=4.98, for 0<t< 24. The model suggests that after injection, the drug concentration of Artecoadipine in the left arm is increasing until some time T hours, and decreasing afterward. Find T. Round to 2 decimal places. hours
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