Temperature data Hourly temperature data for Boulder, CO,

Chapter 5, Problem 27E

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QUESTION:

Temperature data  Hourly temperature data for Boulder, CO, San Francisco, CA, Nantucket, MA, and Duluth, MN, over a 12-hr period on the same day of January are shown in the figure. Assume that these data are taken from a continuous temperature function T(t). The average temperature over the 12-hr period is \(\bar{T}=\frac{1}{12} \int_{0}^{12} T(t) d t\).

                             

Find an accurate approximation to the average temperature over the 12 -hr period for Boulder. State your method.

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QUESTION:

Temperature data  Hourly temperature data for Boulder, CO, San Francisco, CA, Nantucket, MA, and Duluth, MN, over a 12-hr period on the same day of January are shown in the figure. Assume that these data are taken from a continuous temperature function T(t). The average temperature over the 12-hr period is \(\bar{T}=\frac{1}{12} \int_{0}^{12} T(t) d t\).

                             

Find an accurate approximation to the average temperature over the 12 -hr period for Boulder. State your method.

ANSWER:

Problem 27E

Temperature data Hourly temperature data for Boulder, CO, San Francisco, CA, Nantucket, MA, and Duluth, MN, over a 12-hr period on the same day of January are shown in the figure. Assume that these data are taken from a continuous temperature function T(t). The average  temperature over the 12-hr   period is     .

Find an accurate approximation to the average temperature over the 12-hr period for Boulder. State your method.

Answer;

    Step 1;

               Given that temperature  data  hourly temperature data for Boulder  , Co,San francisco ,CA, Nantucket ,MA , and Duluth ,MN  over a 12 -hr  period on the same day of  January  are shown  in the figure.

                             

  And also given that these data  from a continuous   temperature function T(t) .The average temperature over the 12-hr period is   = T(t) dt.

Given table is ;

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