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# At 1:00 pm one winter afternoon, there is a power failure at your house in Wisconsin

## Problem 22 Chapter 9.5

Applied Calculus | 5th Edition

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Problem 22

At 1:00 pm one winter afternoon, there is a power failure at your house in Wisconsin, and your heat does not work without electricity. When the power goes out, it is 68F in your house. At 10:00 pm, it is 57F in the house, and you notice that it is 10F outside. (a) Assuming that the temperature, T, in your home obeys Newtons Law of Cooling, write the differential equation satisfied by T . (b) Solve the differential equation to estimate the temperature in the house when you get up at 7:00 am the next morning. Should you worry about your water pipes freezing? (c) What assumption did you make in part (a) about the temperature outside? Given this (probably incorrect) assumption, would you revise your estimate up or down? Why?

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##### ISBN: 9781118174920

This full solution covers the following key subjects: . This expansive textbook survival guide covers 72 chapters, and 2635 solutions. The full step-by-step solution to problem: 22 from chapter: 9.5 was answered by , our top Calculus solution expert on 01/22/18, 03:47PM. Since the solution to 22 from 9.5 chapter was answered, more than 221 students have viewed the full step-by-step answer. The answer to “At 1:00 pm one winter afternoon, there is a power failure at your house in Wisconsin, and your heat does not work without electricity. When the power goes out, it is 68F in your house. At 10:00 pm, it is 57F in the house, and you notice that it is 10F outside. (a) Assuming that the temperature, T, in your home obeys Newtons Law of Cooling, write the differential equation satisfied by T . (b) Solve the differential equation to estimate the temperature in the house when you get up at 7:00 am the next morning. Should you worry about your water pipes freezing? (c) What assumption did you make in part (a) about the temperature outside? Given this (probably incorrect) assumption, would you revise your estimate up or down? Why?” is broken down into a number of easy to follow steps, and 131 words. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Applied Calculus was written by and is associated to the ISBN: 9781118174920.

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At 1:00 pm one winter afternoon, there is a power failure at your house in Wisconsin

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Get Full Access to Applied Calculus - 5 Edition - Chapter 9.5 - Problem 22