Calculus
Calculus
10th Edition
ISBN: 9781285948133
Author: Ron Larson; Bruce H. Edwards
Publisher: Cengage Learning US
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Chapter 1.4, Problem 111E

Déjà Vu At 8:00 a.m. on Saturday, a nun begins running up the side of a mountain to his weekend campsite (see figure). On Sunday morning at 8:00 a.m., he runs back down the mountain. It takes him 20 minutes to run up but only10 minutes to run down. At some point on the way down, he realizes that he passed the same place at exactly the same time on Saturday. Prove that he is correct. [Hint: Let s(t) and r(t) be the position functions for the runs up and down, and apply the Intermediate Value Theorem to the function f ( t ) = s ( t ) − r ( t ) .]

Chapter 1.4, Problem 111E, Dj Vu At 8:00 a.m. on Saturday, a nun begins running up the side of a mountain to his weekend

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Calculus

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