. Model in Psychology One problem in psychology is to deter- mine the relation between some physical stimulus and the corresponding sensation or reaction produced in a subject. Suppose that, measured in appropriate units, the strength of a stimulus is s and the intensity of the corresponding sensa- tion is some function of s, say, f(s). Some experimental data suggest that the rate of change of intensity of the sensation with respect to the stimulus is directly proportional to the intensity of the sensation and inversely proportional to the strength of the stimulus; that is, f(s) satisfies the differential equation dy ds for some positive constant k. Solve this differential equation. (Figure 7 shows several solutions corresponding to k = .4.) Strength of stimulus Figure 7 Reaction to stimuli. Intensity of reaction
. Model in Psychology One problem in psychology is to deter- mine the relation between some physical stimulus and the corresponding sensation or reaction produced in a subject. Suppose that, measured in appropriate units, the strength of a stimulus is s and the intensity of the corresponding sensa- tion is some function of s, say, f(s). Some experimental data suggest that the rate of change of intensity of the sensation with respect to the stimulus is directly proportional to the intensity of the sensation and inversely proportional to the strength of the stimulus; that is, f(s) satisfies the differential equation dy ds for some positive constant k. Solve this differential equation. (Figure 7 shows several solutions corresponding to k = .4.) Strength of stimulus Figure 7 Reaction to stimuli. Intensity of reaction
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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