A patient is given a dose of penicillin. After t hours have passed, her blood penicillin concentration is C (t) = 20 exp(−0.3t) − 15 exp(−0.6t) μg ml^−1. 1-Compute C′(t) 2. There is one critical point...

A patient is given a dose of penicillin. After t hours have passed, her blood penicillin concentration is

C (t) = 20 exp(−0.3t) − 15 exp(−0.6t) μg ml^−1.

1-Compute C′(t)

2. There is one critical point of C(t). Find it, correct to 2 decimal places.

3. Find the patient’s maximum and minimum blood penicillin concentra- tion for 0 ≤ t ≤ 5. Give your answers correct to 2 decimal places.

Jun 05, 2022

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