Please help with the attached problem **Problem 2.23:**A house is initially at 12°C when the power goes out. The outside temperature varies according to\[ T_e = 9 + 10 \cos 2\pi t \]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 \( T_e \) on the same axes. What is the time lag between the maximum inside and outside temperatures?---**Explanation for Educational Context:**This problem involves using mathematical modeling to understand how temperature changes inside a house after the power goes out. The outside temperature is given by a cosine function, which models daily temperature variations. You'll need to determine the inside temperature using Newton’s law of cooling, and analyze the time lag between peak temperatures inside and outside.

Name: Please help with the attached problem **Problem 2.23:**A house is init
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please help with the attached problem **Problem 2.23:**A house is initially at 12°C when the power goes out. The outside temperature varies according to\[ T_e = 9 + 10 \cos 2\pi t \]where \( t \) is measured in days. The heat-loss coefficient is \( k