Get answer: A glucose solution is administered intravenously into the bloodstream at a

Chapter 9, Problem 43

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A glucose solution is administered intravenously into the bloodstream at a constant rate r. As the glucose is added, it is converted into other substances and removed from the bloodstream at a rate that is proportional to the concentration at that time. Thus a model for the concentration C Cstd of the glucose solution in the bloodstream is dC dt r 2 kC where k is a positive constant. (a) Suppose that the concentration at time t 0 is C0. Determine the concentration at any time t by solving the differential equation. (b) Assuming that C0 , ryk, find limtl` Cstd and interpret your answer

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