Question

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function

C(t) = 7(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.)

µg/mL

Answer #1

The concentration C (in mg/dl) of a certain antibiotic in a
patients bloodstream is given by
C= 50t t2 + 25
where t is the time (in hours) after taking the antibiotic.
a. What is the concentration 4 hours after taking the
antibiotic?
b. In order for the antibiotic to be effective, 4 or more mg/dl
must be present in the bloodstream. When do you have to take the
antibiotic again?

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