1 Nov 2021
Problem 15b
Page 499
Section 7.1: Modeling with Differential Equations
Chapter 7: Differential Equations
Textbook ExpertVerified Tutor
1 Nov 2021
Given information
As per the given question ,
is the maximum capable level of performance.
is constant 
is reasonable model for learning
Step-by-step explanation
Step 1.
We have 
be the performance of someone learning a skill as function of the training time 
and the derivative 
represents the rate at which performance improves.
Referring to the differential equation
a positive constant
be the maximum level of performance of which the learner is capable
From this differential equation see that 
always and if the level of performance is increasing and approaching then approaches zero
That is, level of performance level off.
Therefore, the model is appropriate with the answer in part (a)
Therefore,
The given differential equation is reasonable model for learning.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3a
- Problem 3b
- Problem 4a
- Problem 4b
- Problem 5a
- Problem 5b
- Problem 5c
- Problem 5d
- Problem 6a
- Problem 6b
- Problem 6c
- Problem 6d
- Problem 7a
- Problem 7b
- Problem 7c
- Problem 7d
- Problem 8a
- Problem 8b
- Problem 8c
- Problem 8d
- Problem 9a
- Problem 9b
- Problem 9c
- Problem 10a
- Problem 10b
- Problem 10c
- Problem 11a
- Problem 11b
- Problem 12a
- Problem 12b
- Problem 12c
- Problem 13a
- Problem 13b
- Problem 13c
- Problem 13d
- Problem 14a
- Problem 14b
- Problem 14c
- Problem 15a
- Problem 15b
- Problem 15c