Let f(x) represent the total number of items a subject has memorized r hours after being presented with a long list of items to learn. Psychologists refer to the graph of y = f(x) as a learning curve and to f'(x) as the learning rate. Suppose that the learning rate is 10. f'(r) = -0.06z + 1.2 + 1 a. Find an equation for the learning curve with nothing memorized at the beginning. 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let f(x) represent the total number of items a subject has memorized r
hours after being presented with a long list of items to learn. Psychologists refer to the graph of
y = f(x) as a learning curve and to f'(x) as the learning rate. Suppose that the learning rate is
10.
1.2
f(r) = -0.06r2+
+1
a. Find an equation for the learning curve with nothing memorized at the beginning.
1
of
Transcribed Image Text:Let f(x) represent the total number of items a subject has memorized r hours after being presented with a long list of items to learn. Psychologists refer to the graph of y = f(x) as a learning curve and to f'(x) as the learning rate. Suppose that the learning rate is 10. 1.2 f(r) = -0.06r2+ +1 a. Find an equation for the learning curve with nothing memorized at the beginning. 1 of
b. What will be the total number memorized in the first 10 hours?
flo)=?
Transcribed Image Text:b. What will be the total number memorized in the first 10 hours? flo)=?
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