Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 168 °F when freshly poured, and 1 min later has cooled to 158 °F in a room at 70 °F, determine when the coffee reaches a temperature of 126 °F. Note: Enter the exact symbolic expression for the asked time. The coffee reaches the temperature 126 in In( 56 98, 44 In (4) minutes.
Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 168 °F when freshly poured, and 1 min later has cooled to 158 °F in a room at 70 °F, determine when the coffee reaches a temperature of 126 °F. Note: Enter the exact symbolic expression for the asked time. The coffee reaches the temperature 126 in In( 56 98, 44 In (4) minutes.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Newton's law of cooling states that the temperature of an object
changes at a rate proportional to the difference between its
temperature and that of its surroundings. Suppose that the
temperature of a cup of coffee obeys Newton's law of cooling. If the
coffee has a temperature of 168 °F when freshly poured, and 1 min
later has cooled to 158 °F in a room at 70 °F, determine when the
coffee reaches a temperature of 126 °F.
Note: Enter the exact symbolic expression for the asked time.
The coffee reaches the temperature 126 in
In(
56
98,
44
In (4)
minutes.
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