Explanation Given: The temperature in Vancouver was 8 o C at 6AM The temperature rose to 20 o C at noon. The intermediate value theorem, IVT, states that if a continuous function f ( x ) on the interval [a, b] takes values f ( a ) and f ( b ) at each end of the interval, then it also takes any value between f ( a ) and f ( b ) at some points within the interval

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 2.8, Problem 2PQ

To determine

The assumption about temperature that allows us to conclude that the temperature was 15oC at some moment of time between 6AM and noon.

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Chapter 2.8, Problem 1PQ

Chapter 2.8, Problem 3PQ

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Chapter 2 Solutions

Calculus - Standalone book

Ch. 2.1 - Prob. 1PQ Ch. 2.1 - Prob. 2PQ Ch. 2.1 - Prob. 3PQ Ch. 2.1 - Prob. 4PQ Ch. 2.1 - Prob. 5PQ 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

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The assumption about temperature that allows us to conclude that the temperature was 15 o C at some moment of time between 6 A M and noon.

Solution Summary: The author explains that the temperature at Vancouver was 15oC at some moment of time between 6AM and noon using the intermediate value theorem.

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The assumption about temperature that allows us to conclude that the temperature was 15oC at some moment of time between 6AM and noon.

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Chapter 2 Solutions