Average ValuesCompute the average value of the temperature

Chapter 5, Problem 119PE

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QUESTION:

Problem 119PE

Average Values

Compute the average value of the temperature function

for a 365-day year. (See Exercise 98, Section 3.6.) This is one way to estimate the annual mean air temperature in Fairbanks, Alaska. The National Weather Service’s official figure, a numerical average of the daily normal mean air temperatures for the year, is 25.7ºF, which is slightly higher than the average value of ƒ(x).

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QUESTION:

Problem 119PE

Average Values

Compute the average value of the temperature function

for a 365-day year. (See Exercise 98, Section 3.6.) This is one way to estimate the annual mean air temperature in Fairbanks, Alaska. The National Weather Service’s official figure, a numerical average of the daily normal mean air temperatures for the year, is 25.7ºF, which is slightly higher than the average value of ƒ(x).

ANSWER:

SOLUTION:

Step 1:

In this question we have to find the average value of  over .

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