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Unformatted text preview: learning? Problem 33, Â§ 9.1: Psychologists interested in learning theory study learning curves . A learning curve is the graph of a function P ( t ), the performance of someone learning a skill as a function of the training time t . The learning process is modeled by the differential equation dP dt = k ( MP ) , where M is the maximum level of performance, and k is a positive constant. Solve this diï¬€erential equation to ï¬nd an expression for P ( t ). What is the limit of this expression? Problem 3, Â§ 9.1: 1. For what nonzero values of k does the function y = sin kt satisfy the diï¬€erential equation y 00 + 9 y = 0. 2. For those values of k , verify that every member of the family of functions y = A sin kt + B cos kt is also a solution....
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 Spring '08
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 Calculus, Derivative, Â§9.1 Modeling

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