💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

# 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.

## $T_{a v e} \approx 59^{\circ} F$

#### Topics

Applications of Integration

### Discussion

You must be signed in to discuss.

Lectures

Join Bootcamp

### Video Transcript

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.

#### Topics

Applications of Integration

Lectures

Join Bootcamp