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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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