1 Jan 2022
Problem 34
Page 218
Section 4.1: Linear Approximation and Applications
Chapter 4: Applications of the derivative
Textbook ExpertVerified Tutor
1 Jan 2022
Given information
Given: An object in linear motion has velocity .
Step-by-step explanation
Step 1.
As per question,
An object in linear motion has velocity .
Now, we estimate the object will travel
In the next quarter-second.
Recall that velocity is the derivative of position, so we have just estimated the change in position, , using the product , which is just the Linear Approximation.