If R denotes the reaction of the body to some stimulus of strength æ, the sensitivity S is defined to be the rate of change of the reaction with respect to æ. A particular example is that when the brightness æ of a light source is increased, the eye reacts by decreasing the area R of the pupil. The experimental formula 40 + 24,0.4 1+ 420.4 R(x) = has been used to model the dependence of R on a when R is measured in sq mm and æ is measured in the appropriate units of brightnes Find the sensitivity. R'(x) =
If R denotes the reaction of the body to some stimulus of strength æ, the sensitivity S is defined to be the rate of change of the reaction with respect to æ. A particular example is that when the brightness æ of a light source is increased, the eye reacts by decreasing the area R of the pupil. The experimental formula 40 + 24,0.4 1+ 420.4 R(x) = has been used to model the dependence of R on a when R is measured in sq mm and æ is measured in the appropriate units of brightnes Find the sensitivity. R'(x) =
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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