Solved: After injection of a dose of insulin, the concentration of insulin in a patients

Chapter 11, Problem 70

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After injection of a dose of insulin, the concentration of insulin in a patients system decays exponentially and so it can be written as , where represents time in hours and is a positive constant. (a) If a dose is injected every hours, write an expression for the sum of the residual concentrations just before the st injection. (b) Determine the limiting pre-injection concentration. (c) If the concentration of insulin must always remain at or above a critical value , determine a minimal dosage in terms of , , and .

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