After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function C(t) = 6(e^-0.4t - e^-0.6t) where the time t is measured in hours and C is measured in µg/mL. What is the maximum concentration of the antibiotic during the first 12 hours? (Round your answer to four decimal places.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is
modeled by the function
C(t)
6(e^-0.4t e^-0.6t)
where the time t is measured in hours and C is measured in µg/mL. What is the maximum
concentration of the antibiotic during the first 12 hours? (Round your answer to four decimal
places.)
=
Transcribed Image Text:After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function C(t) 6(e^-0.4t e^-0.6t) where the time t is measured in hours and C is measured in µg/mL. What is the maximum concentration of the antibiotic during the first 12 hours? (Round your answer to four decimal places.) =
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