27 Oct 2021
Problem 1
Page 245
Section 3.9: Linear Approximations and Differentials
Chapter 3: Differentiation Rules
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27 Oct 2021
Given information
Given:-The initial temperature of the turkey is , the room temperature is the temperature of the turkey after min is , and after min is
To find:- The temperature of the turkey after half an hour.
Step-by-step explanation
Step 1.
The value of the differential of the temperature at 20 min is calculated as,
The temperature of the turkey after half an hour is calculated as,
Therefore, the temperature of the turkey after half an hour is .
The tangent line is below the graph, so the predicted temperature is an underestimate.