Question

In a certain city the temperature (in °F) *t* hours after 9 AM was modeled by the function

T(t) = 44 + 11 sin(pit/12)

Find the average temperature *T*_{ave} during the period from 9 AM to 9 PM. (Round your answer to the nearest whole number.)

Step 1

To calculate the average temperature using integration

Step 2

If we are given finitely many data points, we sum and take the average to find the mean . In the continuous case, we take the integral and divide by the length to obtain the mean.

Step 3

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