11 Nov 2021
Problem 2i
Page 237
Section 3.8: Rates of Change in the Natural and Social Sciences
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
11 Nov 2021
Given information
Given:
Step-by-step explanation
Step 1.
Calculate the time when particle is speeding up and slowing down.
Substitute 0 for 
in the equation 
.
in the equation .
From the graph of part 
, it can be observed that the acceleration and velocity function have the same sign in the interval 
.
, it can be observed that the acceleration and velocity function have the same sign in the interval .The acceleration and velocity function have the same sign in the interval 
.
.The particle speeds up when the acceleration function and the velocity function have the same sign and hence the particle speeds up in the intervals and .
and .Notice that the acceleration function and the velocity function have different signs in the interval 
.
.The particle slows down when the acceleration function and the velocity function have the different sign and hence the particle speeds up in the interval .
.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 1c
- Problem 1d
- Problem 1e
- Problem 1f
- Problem 1g
- Problem 1h
- Problem 1i
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 2d
- Problem 2e
- Problem 2f
- Problem 2g
- Problem 2h
- Problem 2i
- Problem 3a
- Problem 3b
- Problem 3c
- Problem 3d
- Problem 3e
- Problem 3f
- Problem 3g
- Problem 3i
- Problem 3i
- Problem 4a
- Problem 4b
- Problem 4c
- Problem 4d
- Problem 4e
- Problem 4f
- Problem 4g
- Problem 4h
- Problem 4i
- Problem 5a
- Problem 5b
- Problem 6a
- Problem 6b
- Problem 7a
- Problem 7b
- Problem 8a
- Problem 8b
- Problem 9a
- Problem 9b
- Problem 10a
- Problem 10b
- Problem 11a
- Problem 11b
- Problem 12a
- Problem 12b
- Problem 13a
- Problem 13b
- Problem 13c
- Problem 14a
- Problem 14b
- Problem 14c
- Problem 15a
- Problem 15b
- Problem 15c
- Problem 16a
- Problem 16b
- Problem 16c
- Problem 17a
- Problem 18
- Problem 19
- Problem 19a
- Problem 19b
- Problem 20a
- Problem 20b
- Problem 21a
- Problem 21b
- Problem 21c
- Problem 22a
- Problem 22b
- Problem 22c
- Problem 22d
- Problem 22e
- Problem 23
- Problem 24
- Problem 25a
- Problem 25b
- Problem 25c
- Problem 25d
- Problem 25e
- Problem 26a
- Problem 26b
- Problem 26c
- Problem 26d
- Problem 27a
- Problem 27b
- Problem 27c
- Problem 28a
- Problem 28b
- Problem 29a
- Problem 29b
- Problem 29c
- Problem 30a
- Problem 30b
- Problem 31a
- Problem 31b
- Problem 32a
- Problem 32b
- Problem 33
- Problem 34a
- Problem 34b
- Problem 34c
- Problem 35a
- Problem 35b
- Problem 35c