Body reaction to drugs is often modeled by an equation of the form where D is the

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Body reaction to drugs is often modeled§ by an equation of the form


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where D is the dosage and C (a constant) is the maximum dosage that can be given. The rate of change of R(D) with respect to D is called the sensitivity.


a. Find the value of D for which the sensitivity is the greatest. What is the greatest sensitivity? (Express your answer in terms of C.)


b. What is the reaction (in terms of C) when the dosage resulting in greatest sensitivity is used?

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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