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 becomescool enough to be habitable for bacteria. Surrena's turkey wastaken out of the oven and place in a room with ambienttemperature 75°F at 1:00pm; at this time, it had an internaltemperature of 180.0°F. By 1:05pm, the turkey's internaltemperature had dropped to 176.3°F.(a) Assuming that the turkey cooled according to Newton'sLaw of Cooling, write a formula that gives the turkey'sinternal temperature t minutes after it was pulled from theoven.(b) Various cookbooks recommend that a turkey be carvedapproximately 10 minutes after it is pulled from the oven.What would have been the temperature of the turkey at thistime?(c) At what time did the turkey's internal temperature drop to120°F?

(a) Newton's law of cooling can be modeled with the general differential equation dTdt=kT-Ta where…

Answered: Food usually begins to become dangerous…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 73E

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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?