After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modelled 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 mewg/ml.

what is the maximum concentration of the antibiotic during the first 12 hours?

the maximum concentration of the antibiotic during the first 12 hours is 1.185 at t= 2 hours.

Step-by-step explanation:

We are given the following information:

After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is modeled by the function where the time t is measured in hours and C is measured in

Thus, we are given the time interval [0,12] for t.

First, we differentiate C(t) with respect to t, to get,

Equating the first derivative to zero, we get,

Solving, we get,

At t = 0

At t = 2

At t = 12

Thus, the maximum concentration of the antibiotic during the first 12 hours is 1.185 at t= 2 hours.

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step-by-step explanation:

8^1/3=2

step-by-step explanation:

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