17 Nov 2021
Problem 66
Page 282
Section 4.3: Derivatives and Shapes of Curves
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
17 Nov 2021
Given information
The speed of the car at 
PM is 
and at 
PM is 
.
Step-by-step explanation
Step 1.
By assumption, the car’s speed is continuous and differentiable everywhere.
This means we can apply the mean value theorem.
Noting that acceleration is the derivative of speed, the theorem states that at some time between and (nonexclusive),
The car’s acceleration was
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
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- Problem 4
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- Problem 33e
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- Problem 35a
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- Problem 70
- Problem 71a
- Problem 71b
- Problem 72