The temperature T of a heated object at a given time t (in minutes) can be modeled by the following function T (To-Ts)e+ Ts Where Ts is the constant temperature of the surroundings, To is the initial temperature of the heated object, and ris the temperature changing rate of the object (in degrees F per minute). Suppose we are preparing a lovely Canard 'a l'Orange (roast duck with orange sauce). We first take our duck out of a 36-F refrigerator and place it in a 350-F oven to roast at 5:00pm. At 5:10pm, the internal temperature is 53-F. If we want to roast the duck until just under well-done (about 170-F internally), when will it be ready?

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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32.
The temperature T of a heated object at a given time t (in minutes) can be modeled by the following function
T (To-Ts)e + Ts
Where Ts is the constant temperature of the surroundings, To is the initial temperature of the heated object, and ris the
temperature changing rate of the object (in degrees F per minute).
Suppose we are preparing a lovely Canard 'a l'Orange (roast duck with orange sauce). We first take our duck out of a
36-F refrigerator and place it in a 350-F oven to roast at 5:00pm. At 5:10pm, the internal temperature is 53-F. Ifwe want
to roast the duck until just under well-done (about 17O-F internally), when will it be ready?
Your answer
Transcribed Image Text:32. The temperature T of a heated object at a given time t (in minutes) can be modeled by the following function T (To-Ts)e + Ts Where Ts is the constant temperature of the surroundings, To is the initial temperature of the heated object, and ris the temperature changing rate of the object (in degrees F per minute). Suppose we are preparing a lovely Canard 'a l'Orange (roast duck with orange sauce). We first take our duck out of a 36-F refrigerator and place it in a 350-F oven to roast at 5:00pm. At 5:10pm, the internal temperature is 53-F. Ifwe want to roast the duck until just under well-done (about 17O-F internally), when will it be ready? Your answer
Expert Solution
Step 1

The temperature of duck at time t is given by:

T(t)=T0-Tse-rt+Ts

 

Given:

T0=36°FTs=350°FT(10)=53°F

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