A bottle of milk initially has a temperature of 79°F. It is left to cool in a refrigerator that has a temperature of 38°F. After 10 minutes the temperature of the milk is 68°F. C... a. Use Newton's Law of Cooling, T=C+ (To-C) et, to find a model for the temperature of the milk, T, after t minutes.

Calculus: Early Transcendentals
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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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A bottle of milk initially has a temperature of 79°F… see photo
A bottle of milk initially has a temperature of 79°F. It is left to cool in a refrigerator that has a temperature of 38°F. After 10 minutes the temperature of the milk is 68°F.
C
a. Use Newton's Law of Cooling, T=C+ (To-C) et, to find a model for the temperature of the milk, T, after t minutes.
T =
C+ (To-C) ekt
T
=
38+(41)e
← Solve for k and enter the answer
(Round to four decimal places.)
Transcribed Image Text:A bottle of milk initially has a temperature of 79°F. It is left to cool in a refrigerator that has a temperature of 38°F. After 10 minutes the temperature of the milk is 68°F. C a. Use Newton's Law of Cooling, T=C+ (To-C) et, to find a model for the temperature of the milk, T, after t minutes. T = C+ (To-C) ekt T = 38+(41)e ← Solve for k and enter the answer (Round to four decimal places.)
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