Textbook ExpertVerified Tutor
31 Dec 2021
Given information
We are given the model for learning in form of the differential equation is,
Where
measures the performance of someone learning a skill.
training time.
the maximum level of performance.
is a positive constant.We have to solve the differential equation and find the limit of this expression.
Step-by-step explanation
Step 1.
Solving the differential equation we have,
Integrating both sides we have,
being the constant.
Now let 
Therefore,
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23a
- Problem 23b
- Problem 23c
- Problem 24
- Problem 25
- Problem 26
- Problem 27a
- Problem 27b
- Problem 27c
- Problem 28a
- Problem 28b
- Problem 28c
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 37
- Problem 38
- Problem 38
- Problem 39
- Problem 39
- Problem 40a
- Problem 40a
- Problem 40b
- Problem 40b
- Problem 41a
- Problem 41b
- Problem 42
- Problem 43a
- Problem 43b
- Problem 44a
- Problem 44b
- Problem 44c
- Problem 45
- Problem 46
- Problem 47
- Problem 48
- Problem 49
- Problem 50a
- Problem 50b
- Problem 51a
- Problem 51b
- Problem 53a
- Problem 53b
- Problem 54a
- Problem 54b
- Problem 54c