In Exercise 72, how long does it take for the roast to reach a temperature of 250F?
Question:
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
where T is the temperature of an object, the surrounding medium has temperature TM at time t, and k is a constant. Use Newton’s law to find the temperature of the roast after 2 hours.
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From Exercise 65 in Section 1 of this cha...View the full answer
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