Explanation Given Information: A Tibetan monk leaves the monastery at 7 : 00 am and takes his usual path to the top of the mountain, arriving at 7 : 00 pm. The following morning, he starts at 7 : 00 am at the top and takes the same path back, arriving at the monastery at 7 : 00 pm. Formula Used: Intermediate Value Theorem states that if f is continuous function whose domain contains the interval [ a , b ] then it takes on any given value between f ( a ) and f ( b ) at some point within the interval that is, if l is any number between f ( a ) and f ( b ) then there must be a value x = c where a < c < b such that f ( c ) = l . Calculation : Let p 1 ( t ) be the position of the monk on day 1 And let p 2 ( t ) be the position of the monk on day 2 Where t is the time in hours Now consider the function: P ( t ) = p 1 ( t ) − p 2 ( t ) <

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Chapter 2.5, Problem 51E

To determine

To Show: There is a point that the monk will cross at exactly the same time of day on both days using Intermediate value theorem.

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Chapter 2 Solutions

Biocalculus

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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Prob. 9CS

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