2.23: A house is initially at 12° C when the power goes out. The outside temperature varies according to Te = 9 + 10 cos 2nt where t is measured in days. The heat-loss coefficient 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?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CR: Chapter Review
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2.23: A house is initially at 12° C when the power goes out. The outside temperature varies
according to
Te = 9 + 10 cos 2nt
where t is measured in days. The heat-loss coefficient 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:2.23: A house is initially at 12° C when the power goes out. The outside temperature varies according to Te = 9 + 10 cos 2nt where t is measured in days. The heat-loss coefficient 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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