The human bodys reaction to a dose of medicine can be modeled* by a function of the

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The human body’s reaction to a dose of medicine can be modeled* by a function of the form


image


where K is a positive constant and M is the amount of medicine absorbed in the blood. The derivative S = dF/dM can be thought of as a measure of the sensitivity of the body to the medicine.


a. Find the sensitivity S.


b. Find


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and give an interpretation of the second derivative.

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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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