A thermometer is moved from a room where the temperature is 85 °F to a freezer where the temperature is 15 °F. After 30 seconds the thermometer reads 41 °F. Let T(t) denote the temperature, in Fahrenheit, at time t, in seconds. Using Newton's cooling law: T'(t) – k(T(t) – Tm(t) to answer the questions. - (a) Write a differential equation for T(t). The only unknown should be T(t). T'(t) (b) What does the thermometer read after 2 minutes? °F (c) Compute the limit. lim T(t) t+ 00

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