A Dallas home has their thermostat set at 70 °F. During a hot summer day, the power suddenly cut off and the air conditioning stopped working. Right when this happened, the outside temperature was 80 °F and was increasing at a rate of 2 °F per hour, i.e., Qo(t) = 80+ 2t. Find the function T(t) that describes how the temperature in the home is changing with time, where t = 0 is the instant the air conditioning came off. Use Newton's law of cooling with the proportionality constant k = 0.5 per hour. /

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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expi
SOluuun x(t) as an explicit antiderivative. Just write it as a definite
integral (with appropriate bounds) and be sure to also apply the initial condition.) /
r' = e" with r(0) = 1
3. A Dallas home has their thermostat set at 70 °F. During a hot summer day, the power
suddenly cut off and the air conditioning stopped working. Right when this happened,
the outside temperature was 80 °F and was increasing at a rate of 2 °F per hour, i.e.,
Qo(t) = 80 + 2t.
Find the function T(t) that describes how the temperature in the home is changing
with time, where t = 0 is the instant the air conditioning came off. Use Newton's law of
cooling with the proportionality constant k = 0.5 per hour. /
4. Find the general real solution for the following second-order differential equations.
OMEN
Transcribed Image Text:expi SOluuun x(t) as an explicit antiderivative. Just write it as a definite integral (with appropriate bounds) and be sure to also apply the initial condition.) / r' = e" with r(0) = 1 3. A Dallas home has their thermostat set at 70 °F. During a hot summer day, the power suddenly cut off and the air conditioning stopped working. Right when this happened, the outside temperature was 80 °F and was increasing at a rate of 2 °F per hour, i.e., Qo(t) = 80 + 2t. Find the function T(t) that describes how the temperature in the home is changing with time, where t = 0 is the instant the air conditioning came off. Use Newton's law of cooling with the proportionality constant k = 0.5 per hour. / 4. Find the general real solution for the following second-order differential equations. OMEN
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