The Weber-Fechner law in experimental psychology specifies that the rate of change of a response R with

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The Weber-Fechner law in experimental psychology specifies that the rate of change of a response R with respect to the level of stimulus S is inversely proportional to the stimulus; that is,


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Let S0 be the threshold stimulus, that is, the highest level of stimulus for which there is no response, so that R = 0 when S = S0.


a. Solve this separable differential equation for R(S). Your answer will involve k and S0.


b. Sketch the graph of the response function R(S) found in part (a).

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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