4. Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. A roast turkey is taken from the oven when tis temperature has reached 185 F and is placed on a table in a room where the temperature is 75 F. a) If the temperature of the turkey is 150 F after half an hour, what is the temperature after 45 minutes? b) When will the turkey have cooled to 100F? c) Find a formula for the temperature of the turkey at time t. d) Plot the formula from (c).

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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4. Newton's Law of Cooling states that the rate of cooling of an object is proportional to
the temperature difference between the object and its surroundings. A roast turkey is
taken from the oven when tis temperature has reached 185 F and is placed on a table in
a room where the temperature is 75 F.
a) If the temperature of the turkey is 150 F after half an hour, what is the temperature
after 45 minutes?
b) When will the turkey have cooled to 100F?
c) Find a formula for the temperature of the turkey at time t.
d) Plot the formula from (c).
Transcribed Image Text:4. Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. A roast turkey is taken from the oven when tis temperature has reached 185 F and is placed on a table in a room where the temperature is 75 F. a) If the temperature of the turkey is 150 F after half an hour, what is the temperature after 45 minutes? b) When will the turkey have cooled to 100F? c) Find a formula for the temperature of the turkey at time t. d) Plot the formula from (c).
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