Solved: Let be the concentration of a drug in the

Chapter 5, Problem 59

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Let be the concentration of a drug in the bloodstream. As the body eliminates the drug, decreases at a rate that is proportional to the amount of the drug that is present at the time. Thus , where is a positive number called the elimination constant of the drug. (a) If is the concentration at time , find the concentration at time . (b) If the body eliminates half the drug in 30 hours, how long does it take to eliminate 90% of the drug?

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