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A house is initially at 12° C when the power goes out. The outside temperature varies according to Te = 9+10cos 2nt where t is measured in days. The heat-loss coefficient for the house is k = 3 (this is the proportionality constant in Newton's Law of Heat Transfer). Find a formula for the temperature inside the house and graph it along with Te on the same axes. What is the time lag between the maximum inside and outside temperatures?

A house is initially at 12° C when the power goes out. The outside temperature varies according to Te = 9+10cos 2nt where t is measured in days. The heat-loss coefficient for the house is k = 3 (this is the proportionality constant in Newton's Law of Heat Transfer). Find a formula for the temperature inside the house and graph it along with Te on the same axes. What is the time lag between the maximum inside and outside temperatures?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. A house is initially at 12° C when the power goes out. The outside temperature varies according to Te = 9+10cos 2n t where t is measured in days. The heat-loss coefficient for the house is k = 3 (this is the proportionality constant in Newton's Law of Heat Transfer). Find a formula for the temperature inside the house and graph it along with Te on the same axes. What is the time lag between the maximum inside and outside temperatures?
Transcribed Image Text:3. A house is initially at 12° C when the power goes out. The outside temperature varies according to Te = 9+10cos 2n t where t is measured in days. The heat-loss coefficient for the house is k = 3 (this is the proportionality constant in Newton's Law of Heat Transfer). Find a formula for the temperature inside the house and graph it along with Te on the same axes. What is the time lag between the maximum inside and outside temperatures?
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