After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function C(t) = 8 (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?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter10: Exponential And Logarithmic Functions
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Problem 444RE: Researchers recorded that a certain bacteria population grew from 100 to 300 in 8 hours. At this...
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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) = 8 (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?

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