Example 1-7-2 - Maple Help
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Chapter 1: Limits

Section 1.7: Intermediate Value Theorem

Example 1.7.2

Suppose the temperature at midnight is 55°F, increases to a high of 85°F, then returns to 55°F at midnight the next day. Assuming that the temperature throughout the day is a continuous function of the time of day, show that there is at least one time in the morning when the temperature is the same as the temperature exactly 12 hours later.

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