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In a certain city the temperature (in °F) t hours after 9 AM was modeled by the functionT(t) = 44 + 11 sin(pit/12)Find the average temperature Tave during the period from 9 AM to 9 PM. (Round your answer to the nearest whole number.)

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 Tave during the period from 9 AM to 9 PM. (Round your answer to the nearest whole number.)

 

check_circleAnswer
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
At 9 amt 0,so 9 pm<>t =12
So,length=12
average temperature
12
1
|T)dt
12
help_outline

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At 9 amt 0,so 9 pm<>t =12 So,length=12 average temperature 12 1 |T)dt 12

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Tagged in

Math

Calculus

Integration

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