2 Nov 2021
Problem 4e
Page 527
Section 7.4: Exponential Growth and Decay
Chapter 7: Differential Equations
Textbook ExpertVerified Tutor
2 Nov 2021
Given information
Given that a bacteria culture grows with a constant relative growth rate and the number of bacteria after 
hours was 
and 
after 
hours.
Therefore the initial size of the culture was 
and the relative growth rate is 
and the number of bacteria after 
hours is 
.
Calculate the rate of growth after 
hours.
Step-by-step explanation
Step 1.
Let 
be the population of bacteria at time hours.
Given the initial size of the culture was , that is 
.
Therefore the relative growth rate is .
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 2d
- Problem 2e
- Problem 3a
- Problem 3b
- Problem 3c
- Problem 3d
- Problem 4a
- Problem 4b
- Problem 4c
- Problem 4d
- Problem 4e
- Problem 4f
- Problem 5a
- Problem 5b
- Problem 5c
- Problem 6a
- Problem 6b
- Problem 6c
- Problem 7a
- Problem 7b
- Problem 8a
- Problem 8b
- Problem 8c
- Problem 8d
- Problem 9a
- Problem 9b
- Problem 9c
- Problem 10a
- Problem 10b
- Problem 11
- Problem 12
- Problem 13
- Problem 13a
- Problem 13b
- Problem 14
- Problem 15a
- Problem 15b
- Problem 16
- Problem 17
- Problem 17a
- Problem 17b
- Problem 18a
- Problem 18b
- Problem 19a
- Problem 19b
- Problem 20a
- Problem 20b
- Problem 21a
- Problem 21b
- Problem 21c
- Problem 21d
- Problem 22a
- Problem 22b
- Problem 22c