A patient's temperature change, T, due to a dose, D, of a drug is given by the following equation where C is a positive constant. Use upper case letters. T-(-) D² dT (a) Find d = (b) What dosage maximizes the temperature change? D= (c) If the sensitivity of the body to the drug is defined by what dosage maximizes sensitivity? " dD D =

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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A patient's temperature change, T, due to a dose, D, of a drug is given by the following equation where C is a positive constant. Use upper case letters.
T = (-/-/-) D²
2
(a) Find
D =
dT
dD
(b) What dosage maximizes the temperature change?
=
D =
(c) If the sensitivity of the body to the drug is defined by
dT
what dosage maximizes sensitivity?
I
dD
Transcribed Image Text:A patient's temperature change, T, due to a dose, D, of a drug is given by the following equation where C is a positive constant. Use upper case letters. T = (-/-/-) D² 2 (a) Find D = dT dD (b) What dosage maximizes the temperature change? = D = (c) If the sensitivity of the body to the drug is defined by dT what dosage maximizes sensitivity? I dD
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