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A thermometer is moved from a room where the temperature is 81 F to a...

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A thermometer is moved from a room where the temperature is 81 F to a freezer where the temperature is 15 F After 30 seconds the thermometer reads 59 F Let T t denote the temperature in Fahrenheit at time t in seconds Using Newton s cooling law T t k T t T t to answer the questions a Write a differential equation for T t The only unknown should be T t T t B b What does the thermometer read after 2 minutes c Compute the limit lim T t 100 F

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