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AMOUNT of Glucose IN the BLOODSTREAM Suppose a patient is given a continuous intravenous infusion of glucose at a constant rate of r mg/min. Then, the rate at which the amount of glucose in the bloodstream is changing at time t (in minutes) because of this infusion is given by
A′(t) = re−at
mg/min, where a is a positive constant associated with the rate at which excess glucose is eliminated from the bloodstream and is dependent on the patient’s metabolism rate. Derive an expression for the amount of glucose in the bloodstream at time t.
Hint: A(0) = 0

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Chapter 6 Solutions
Bundle: Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach, 10th + WebAssign Printed Access Card for Tan's Applied ... A Brief Approach, 10th Edition, Single-Term
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