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8. Recall Newton's Law of Cooling and its general solution T'(t) = -k(T(t) – A), T(t) = Ce-kt + A. A cup of hot chocolate has a temperature of 90°C when it is poured and allowed to cool in a room with a temperature of 30°C. After 1 minute, the temperature of the coffee is 85°C. Determine the temperature of the coffee at time t. How long must you wait until the coffee is 35°C?

8. Recall Newton's Law of Cooling and its general solution T'(t) = -k(T(t) – A), T(t) = Ce-kt + A. A cup of hot chocolate has a temperature of 90°C when it is poured and allowed to cool in a room with a temperature of 30°C. After 1 minute, the temperature of the coffee is 85°C. Determine the temperature of the coffee at time t. How long must you wait until the coffee is 35°C?

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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8. Recall Newton's Law of Cooling and its general solution T'(t) = -k(T(t) – A), T(t) = Ce-kt + A. A cup of hot chocolate has a temperature of 90°C when it is poured and allowed to cool in a room with a temperature of 30°C. After 1 minute, the temperature of the coffee is 85°C. Determine the temperature of the coffee at time t. How long must you wait until the coffee is 35°C?
Transcribed Image Text:8. Recall Newton's Law of Cooling and its general solution T'(t) = -k(T(t) – A), T(t) = Ce-kt + A. A cup of hot chocolate has a temperature of 90°C when it is poured and allowed to cool in a room with a temperature of 30°C. After 1 minute, the temperature of the coffee is 85°C. Determine the temperature of the coffee at time t. How long must you wait until the coffee is 35°C?
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