For some tasks, a logistic curve is used to model proficiency. In what follows, suppose that the percent proficiency is given by the logistic curve determined by P(t) 100 1 +90e-0.8t where t denotes the number of days of practice. Find the point where additional practice starts producing diminishing returns. Give your answer accurate to at least 2 decimal places. days Hint: use the fact that the graph of P(t) is a logistic curve!
For some tasks, a logistic curve is used to model proficiency. In what follows, suppose that the percent proficiency is given by the logistic curve determined by P(t) 100 1 +90e-0.8t where t denotes the number of days of practice. Find the point where additional practice starts producing diminishing returns. Give your answer accurate to at least 2 decimal places. days Hint: use the fact that the graph of P(t) is a logistic curve!
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:For some tasks, a logistic curve is used to model proficiency. In what follows, suppose that the percent
proficiency is given by the logistic curve determined by
P(t)
100
1 +90e-0.8t
where t denotes the number of days of practice.
Find the point where additional practice starts producing diminishing returns. Give your answer accurate to
at least 2 decimal places.
days
Hint: use the fact that the graph of P(t) is a logistic curve!
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