A mathematical biologist is created a model to administer medicine reaction with the model given by R=m2(c/2-m/3) where c is a positive constant and m ia the amount of medicine absorbed into the blood . The sensitivity to medication is define to be the rate of change of reaction R with respect to amount of medicine m absorb in blood.i) find the amount of medicine that is being absorbed into blood when reaction is maximum. ii) find the instantaneous rate of change of sensitivity with respect to amount of medicine being absorbed to blood. iii) find the amount of medicine that is being absorbed into blood when sensitivity is maximum.
A mathematical biologist is created a model to administer medicine reaction with the model given by R=m2(c/2-m/3) where c is a positive constant and m ia the amount of medicine absorbed into the blood . The sensitivity to medication is define to be the rate of change of reaction R with respect to amount of medicine m absorb in blood.i) find the amount of medicine that is being absorbed into blood when reaction is maximum. ii) find the instantaneous rate of change of sensitivity with respect to amount of medicine being absorbed to blood. iii) find the amount of medicine that is being absorbed into blood when sensitivity is maximum.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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A mathematical biologist is created a model to administer medicine reaction with the model given by R=m2(c/2-m/3) where c is a positive constant and m ia the amount of medicine absorbed into the blood . The sensitivity to medication is define to be the rate of change of reaction R with respect to amount of medicine m absorb in blood.i) find the amount of medicine that is being absorbed into blood when reaction is maximum.
ii) find the instantaneous rate of change of sensitivity with respect to amount of medicine being absorbed to blood.
iii) find the amount of medicine that is being absorbed into blood when sensitivity is maximum.
Transcribed Image Text:A mathematical biologist is created a model to administer medicine reaction (measured in change of blood
pressure or temperatuce) with the model given by
R= m²
m
where c is a positive constant and m is the amount of medicine absorbed into the blood. The sensitivity
to the medication is defined to be the rate of change of reaction R with respect to the amount of
medicine mabsorbed in the blood.
0. Find the sensitivity, R'.
(H). Find the amount of medicine that is being absorbed into the blood when the reaction is maximum.
(ii),Find the instantaneous rate of change of sensitivity with respect to the amount of medicine absorbed
in the blood.
(iv).Find the amount of medicine that is being absorbed into the blood when the sensitivity is maximum|
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