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Apply the Mean Value Theorem.
Examples
Example: At a car race, two cars join the race at the same point at the same time. They finish the race in a tie. Prove that sometime during the race, the two cars had exactly the same speed. (Hint: Define f(t), g(t), and h(t), where f(t) is the distance that Car A has traveled at time t; g(t) is the distance that Car B has travelled at time t; and h(t)=f(t)-g(t).)General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Calculus
Date Adopted or Revised: 08/20
Status: State Board Approved
Related Courses
This benchmark is part of these courses.
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
Related Access Points
Alternate version of this benchmark for students with significant cognitive disabilities.
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Tutorials
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Tutorials
Mean Value Theorem:
In this video we will take an in depth look at the Mean Value Theorem.
Type: Tutorial
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