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. 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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 7E: The American Food Dollar The following table shows the percentage P=P(d) of the American food dollar...
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. 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
Transcribed Image Text:. 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
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