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 C(t) = hours at t² + b' for some values a and b. Lab tests show that those values for Artecoadipine are a = 0.3 and b = 5.05, 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.

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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 = 0.3 and b = 5.05, 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 = 0.3 and b = 5.05, 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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