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
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.87TI: Researchers recorded that a certain bacteria population grew from 100 to 500 in 6 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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