A certain drug is being administered intravenously to a hospital patient. mg Fluid containing 5 of the drug enters the patient's bloodstream cm³ cm at a rate of 400 The drug is absorbed by body tissues or h otherwise leaves the bloodstream at a rate proportional to the amount present, with a rate constant of 0.5 h-¹. (a) Assuming that the drug is always uniformly distributed throughout the bloodstream, write a differential equation for the amount of drug that is present in the bloodstream at any time. Let M(t) be the total amount of the drug (in milligrams) in the patient's body at any given time t (in hours). NOTE: Use M as M(t). dM dt NOTE: Check your variables. Use a capital M mg h (b) How much of the drug is present in the body after a long time? NOTE: Enter an exact answer. M = mg

A certain drug is being administered intravenously to a hospital patient. mg Fluid containing 5 of the drug enters the patient's bloodstream cm³ cm at a rate of 400 The drug is absorbed by body tissues or h otherwise leaves the bloodstream at a rate proportional to the amount present, with a rate constant of 0.5 h-¹. (a) Assuming that the drug is always uniformly distributed throughout the bloodstream, write a differential equation for the amount of drug that is present in the bloodstream at any time. Let M(t) be the total amount of the drug (in milligrams) in the patient's body at any given time t (in hours). NOTE: Use M as M(t). dM dt NOTE: Check your variables. Use a capital M mg h (b) How much of the drug is present in the body after a long time? NOTE: Enter an exact answer. M = mg

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 12E

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