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In a certain city the temperature (in degrees Fahrenheit) \( t \) houn after 9 am was approximated by the function \[ T(t)=60+7 \sin \left(\frac{\pi t}{12}\right) \] Determine the temperature at 9 am. Determine the temperature at \( 3 \mathrm{pm} \). Find the average temperature during the period from 9 am to \( 9 \mathrm{pm} \).

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