A thermometer that has been sitting in a cold storeroom is brought into a warm kitchen. Newton's Law of Cooling can be used to model how the temperature rises in the thermometer as it approaches the kitchen's temperature: dT dt k (T - T∞) where k is the thermometer's proportionality constant and T∞ is the ambient temperature.

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Chapter1: Units, Trigonometry. And Vectors
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The temperature initially reads 5°C when brought into the 25°C kitchen, and it reads 20°C after five minutes. Using the correct solution for temperature, when will the thermometer show approximately the correct temperature (say, 24.9°C)?

A thermometer that has been sitting in a cold storeroom is brought into a warm kitchen. Newton's Law of Cooling can be used
to model how the temperature rises in the thermometer as it approaches the kitchen's temperature:
dT
dt
k (T - T∞)
where k is the thermometer's proportionality constant and T∞ is the ambient temperature.
Transcribed Image Text:A thermometer that has been sitting in a cold storeroom is brought into a warm kitchen. Newton's Law of Cooling can be used to model how the temperature rises in the thermometer as it approaches the kitchen's temperature: dT dt k (T - T∞) where k is the thermometer's proportionality constant and T∞ is the ambient temperature.
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