342 CHAPTER 4 Exponential and Logarithmic FunctionsAPPLICATIONSnl bebnuogmo23. Medical Drugs When a certain medical drug is administeredto a patient, the number of milligrams remaining in thepatient's bloodstream after t hours is modeled byAdliwdaueD(t) = 50e50e-0.21|How many milligrams of the drug remain in the patient'sbloodstream after 3 hours?00

Solution : Given that D(t) = 50 e-0.2t

Answered: 5. Medical Drugs When a certain medical…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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i have been stuck on this for a while and i am stumped may i have some help please? Consider a drug that is taken in 50 mg doses daily. Suppose that the first dose is taken when t=0 and that t is measured in hours. A) If the half-life of the drug is 5.5 hours, what fraction of the drug remains in the patient after 24 hours? B) Write a general expression for the amount of the drug in the patient immediately after taking the nth dose of the drug. C ) Write a general expression for the amount of the drug in the patient immediately before taking the nnth dose of the drug (for this we only consider n>1). D) What is the long-term minimum amount of drug in the patient?
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5. Medical Drugs When a certain medical drug is administered to a patient, the number of milligrams remaining in the patient's bloodstream after t hours is modeled by D(t) = 50e-0.21 How many milligrams of the drug remain in the patient's bloodstream after 3 hours?