Mean temperature Use Simpson’s Rule to approximate the

Chapter , Problem 49PE

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Mean temperature Use Simpson’s Rule to approximate the average value of the temperature function

                                 \(f(x)=37 \sin \left(\frac{2 \pi}{365}(x-101)\right)+25\)

for a 365-day year. 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 \(25.7^{\circ} \mathrm{F}\), which is slightly higher than the average value of \(f(x)\).

Equation Transcription:

Text Transcription:

f(x) = 37 sin (2pi/365 (x - 101)) + 25

25.7 ^degree F

f(x)

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