An object is heated to 100°C. It is left to cool in a room that has atemperature of 30°C. After 5 minutes, the temperature of the object is 80°C. a. Use Newton’s Law of Cooling to find a model for the temperature of the object, T, after t minutes. b. What is the temperature of the object after 20 minutes? c. When will the temperature of the object be 35°C?

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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An object is heated to 100°C. It is left to cool in a room that has atemperature of 30°C. After 5 minutes, the temperature of the object is 80°C.
a. Use Newton’s Law of Cooling to find a model for the temperature of the
object, T, after t minutes.
b. What is the temperature of the object after 20 minutes?
c. When will the temperature of the object be 35°C?

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