(Biology: The body's reaction to medicine) The reaction of the body to a dose of medicine can sometimes be represented by an equation of the form DY C M = M² (22-24/7) where C is a positive constant and M is the amount of medicine absorbed in the blood. If the reaction is a change in blood pressure, R is measured in millimeters of mercury. If the reaction is a change in temperature, R is measured in degrees, and so on. 1. Find This derivative, as a function of M, is called the sensitivity of the body to the medicine. dR dM 2. (Sensitivity to medicine/ Continuation of The body's reaction to medicine) Find the amount of medicine to which the body is most sensitive by finding the value of M that maximizes the derivative dR/dM.
(Biology: The body's reaction to medicine) The reaction of the body to a dose of medicine can sometimes be represented by an equation of the form DY C M = M² (22-24/7) where C is a positive constant and M is the amount of medicine absorbed in the blood. If the reaction is a change in blood pressure, R is measured in millimeters of mercury. If the reaction is a change in temperature, R is measured in degrees, and so on. 1. Find This derivative, as a function of M, is called the sensitivity of the body to the medicine. dR dM 2. (Sensitivity to medicine/ Continuation of The body's reaction to medicine) Find the amount of medicine to which the body is most sensitive by finding the value of M that maximizes the derivative dR/dM.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(Biology: The body's reaction to medicine)
The reaction of the body to a dose of medicine can sometimes be represented by an equation of the
form
DY
C
M
= M² (2-3)
where C is a positive constant and M is the amount of medicine absorbed in the blood. If the reaction
is a change in blood pressure, R is measured in millimeters of mercury. If the reaction is a change in
temperature, R is measured in degrees, and so on.
1. Find This derivative, as a function of M, is called the sensitivity of the body to the medicine.
dR
dM
2. (Sensitivity to medicine/ Continuation of The body's reaction to medicine)
Find the amount of medicine to which the body is most sensitive by finding the value of M
that maximizes the derivative dR/dM.
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