11 Nov 2021
Problem 3d
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.
The particle is moving in the positive direction when the velocity is positive.
Therefore, we can write
In , we found the solutions of as
Use these solutions to divide the number line into three intervals:
.
Select a point from the interval to find the sign of velocity on this interval,
I am using
Select a point from the interval $(2,6)$ to find the sign of velocity on this interval,
I am using
Select a point from the interval to find the sign of velocity on this interval,
I am using