a). When do you think P, performance, increases most rapidly? b). Explain what happens to dp/ dt as t increases. c). If M is the maximum level of performance of which the learner is capable, explain what happens, both mathematically and in the context of learning, when M = P. dP/dt= k(M-P) k is a positive constant

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
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a). When do you think P, performance, increases most rapidly?

b). Explain what happens to dp/ dt as t increases.

c). If M is the maximum level of performance of which the learner is capable, explain what happens, both mathematically and in the context of learning, when M = P.

dP/dt= k(M-P) k is a positive constant

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 derivative represents the rate at which
dP
dt
performance improves.
Transcribed Image Text: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 derivative represents the rate at which dP dt performance improves.
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