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In a certain city the temperature (in $ ^\circ F $) $ t $ hours after 9 am was modeled by the function$$ T(t) = 50 + 14 \sin \frac{\pi t}{12} $$Find the average temperature during the period from 9 am to 9 pm.

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Calculus 2 / BC

Chapter 6

Applications of Integration

Section 5

Average Value of a Function

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University of Michigan - Ann Arbor

University of Nottingham

Lectures

05:57

In a certain city the…

01:39

The temperature $T$ (in $^…

01:16

[T] The daily temperature …

03:36

The human body temperature…

02:05

During a certain 12 -hour …

we know we can use the average value Formula one over B with just 12 months. A, which is zero from 0 12 of 50 was 14. Sign party over 12 g. We know that if you is pi ti over 12 done 12 over pie Do you equals deity? Therefore, we know that we can apply u substitution m plug end. This gives us 50 28 over pi which is 59 degrees Fahrenheit approximately.

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