Question: In Exercise 72, how long does it take for the roast to reach a temperature of 250F? Exercise 72 A roast at a temperature of

In Exercise 72, how long does it take for the roast to reach a temperature of 250°F?

Exercise 72

A roast at a temperature of 40°F is put in a 300°F oven. After 1 hour the roast has reached a temperature of 150°F. Newton’s law of cooling states that

dT dt k(TTM),

where T is the temperature of an object, the surrounding medium has temperature T_M at time t, and k is a constant. Use Newton’s law to find the temperature of the roast after 2 hours.

dT dt k(TTM),

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