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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 52E
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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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