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 dP/dt represents the rate at which performance improves. a) When do you think P increases most rapidly? What happened to dP/dt as t increases? b) If = k(M – P) what is the maximum level of performance of which the learner is capable? dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
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7. 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 dP/dt represents the
rate at which performance improves.
a) When do you think P increases most rapidly? What happened to dP/dt as t increases?
dP
b) If = k(M – P) what is the maximum level of performance of which the learner is capable?
dt
Transcribed Image Text:7. 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 dP/dt represents the rate at which performance improves. a) When do you think P increases most rapidly? What happened to dP/dt as t increases? dP b) If = k(M – P) what is the maximum level of performance of which the learner is capable? dt
7. a) When do you think P increases most rapidly? At the beginning. What happened to dP/dt as t increases? Stays
positive, but decreases.
b) M
Transcribed Image Text:7. a) When do you think P increases most rapidly? At the beginning. What happened to dP/dt as t increases? Stays positive, but decreases. b) M
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