In a scorching conference room at 90 degrees Fahrenheit, a cool drink at 36°F is put.  The temperature is 54°F after fifteen minutes. a) Determine the drink's temperature T(t) after t minutes, assuming Newton's rule of cooling is followed. b)When the drink reaches 74 degrees Fahrenheit,how long does it take?

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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In a scorching conference room at 90 degrees Fahrenheit, a cool drink at 36°F is put. 
The temperature is 54°F after fifteen minutes.
a) Determine the drink's temperature T(t) after t minutes, assuming Newton's rule of cooling is followed.
b)When the drink reaches 74 degrees Fahrenheit,how long does it take?
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