Question: For Problems 9 and 10, consider that when medicine is administered, reaction (measured in change of blood pressure or temperature) can be modeled by where

For Problems 9 and 10, consider that when medicine is administered, reaction (measured in change of blood pressure or temperature) can be modeled by

where c is a positive constant and m is the amount of medicine absorbed into the blood (Source: R. M. Thrall et al., Some Mathematical Models in Biology, U.S. Department of Commerce,1967). The rate of change of reaction R with respect to the amount of medicine m is defined to be the sensitivity.
(a) Find the sensitivity, S.
(b) Find the amount of medicine that is being absorbed into the blood when the sensitivity is maximum.

R = m? 3

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