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I'm not looking for someone to do my homework but I have this problem and I'm really confused and I don't know what to do to solve it:

The reaction of a body to a dose of medicine can often be represented by an equation of the form:

R= M^2(C/2-M/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.

Find dR/dM. The derivative, as a function of M, is called the sensitivity of the body to medicine.

Please, any help would be greatly appreciated.

2006-10-10 10:31:32 · 2 answers · asked by Anonymous in Education & Reference Homework Help

2 answers

R = M^2(C/2-M/3)

If you meant: M^2*(C/2-M/3), you can distribute the parenthesis:
M^2*(C/2-M/3) = CM^2 / 2 - M^3/3
dR/dM = CM - M^2

2006-10-11 07:33:35 · answer #1 · answered by ³√carthagebrujah 6 · 2 0

dR/dM=M^2(-1/3)+(C/2-M/3)*2M
=(-1/3)M+2(C/2-M/3)*M

2006-10-10 10:35:59 · answer #2 · answered by raj 7 · 0 0

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