certain drug is eliminated from the bloodstream exponentially with a half-life of 36 hours. onsider a patient that receives an initial dose of 20 mg of the drug at midnight. O How much of the drug is in the patient's blood at 1 pm the next day? Show your answer to 1 decimal place. i) If growth of the bacteria which is causing the infection is inhibited at a concentration of 11500 ug of the drug. How many hours after the initial dose should the patient receive the next dose of drug or risk the infection worsening? Give your answer to the nearest whole number.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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A certain drug is eliminated from the bloodstream exponentially with a half-life of 36 hours.
Consider a patient that receives an initial dose of 20 mg of the drug at midnight.
(i) How much of the drug is in the patient's blood at 1 pm the next day? Show your answer to
1 decimal place.
(ii) If growth of the bacteria which is causing the infection is inhibited at a concentration of
11500 ug of the drug. How many hours after the initial dose should the patient receive the
next dose of drug or risk the infection worsening? Give your answer to the nearest whole
number.
Transcribed Image Text:A certain drug is eliminated from the bloodstream exponentially with a half-life of 36 hours. Consider a patient that receives an initial dose of 20 mg of the drug at midnight. (i) How much of the drug is in the patient's blood at 1 pm the next day? Show your answer to 1 decimal place. (ii) If growth of the bacteria which is causing the infection is inhibited at a concentration of 11500 ug of the drug. How many hours after the initial dose should the patient receive the next dose of drug or risk the infection worsening? Give your answer to the nearest whole number.
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