17 Nov 2021
Problem 65
Page 282
Section 4.3: Derivatives and Shapes of Curves
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
17 Nov 2021
Given information
Two runners start a race at same time and finish in a tie.
Step-by-step explanation
Step 1.
The Mean Value Theorem assures us that if 
is continuous on closed interval 
, and if is also differentiable on the open interval then there is a 
in for which:
Let 
be the position of the first runner at time 
, and let 
be the position of the second runner at time . Let 
denote the time that the two runners finish the race (which is the same, since they finish in a tie).
From the given condition, it is observed that the difference between the position of the two runners is
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
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