Food usually begins to become dangerous when it becomes cool enough to be habitable for bacteria. Surrena's turkey was taken out of the oven and place in a room with ambient temperature 75°F at 1:00pm; at this time, it had an internal temperature of 180.0°F. By 1:05pm, the turkey's internal temperature had dropped to 176.3°F. (a) Assuming that the turkey cooled according to Newton's Law of Cooling, write a formula that gives the turkey's internal temperature t minutes after it was pulled from the oven. (b) Various cookbooks recommend that a turkey be carved approximately 10 minutes after it is pulled from the oven. What would have been the temperature of the turkey at this time? (c) At what time did the turkey's internal temperature drop to 120°F?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Food usually begins to become dangerous when it becomes cool enough to be habitable for bacteria. Surrena’s turkey was taken out of the oven and place in a room with ambient temperature 75oF at 1:00pm; at this time, it had an internal temperature of 180.0oF. By 1:05pm, the turkey’s internal temperature had dropped to 176.3oF. (a) Assuming that the turkey cooled according to Newton’s Law of Cooling, write a formula that gives the turkey’s internal temperature t minutes after it was pulled from the oven. (b) Various cookbooks recommend that a turkey be carved approximately 10 minutes after it is pulled from the oven. What would have been the temperature of the turkey at this time? (c) At what time did the turkey’s internal temperature drop to 120oF?
3. Food usually begins to become dangerous when it becomes
cool enough to be habitable for bacteria. Surrena's turkey was
taken out of the oven and place in a room with ambient
temperature 75°F at 1:00pm; at this time, it had an internal
temperature of 180.0°F. By 1:05pm, the turkey's internal
temperature had dropped to 176.3°F.
(a) Assuming that the turkey cooled according to Newton's
Law of Cooling, write a formula that gives the turkey's
internal temperature t minutes after it was pulled from the
oven.
(b) Various cookbooks recommend that a turkey be carved
approximately 10 minutes after it is pulled from the oven.
What would have been the temperature of the turkey at this
time?
(c) At what time did the turkey's internal temperature drop to
120°F?
Transcribed Image Text:3. Food usually begins to become dangerous when it becomes cool enough to be habitable for bacteria. Surrena's turkey was taken out of the oven and place in a room with ambient temperature 75°F at 1:00pm; at this time, it had an internal temperature of 180.0°F. By 1:05pm, the turkey's internal temperature had dropped to 176.3°F. (a) Assuming that the turkey cooled according to Newton's Law of Cooling, write a formula that gives the turkey's internal temperature t minutes after it was pulled from the oven. (b) Various cookbooks recommend that a turkey be carved approximately 10 minutes after it is pulled from the oven. What would have been the temperature of the turkey at this time? (c) At what time did the turkey's internal temperature drop to 120°F?
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