In a certain city the temperature in degrees Fahrenheit t hours after 9 am was approximated by the function T(t) = 50 + 13 sin ( πt 12) Find the average temperature during the period from 9 am to 9 pm. (Do not use you calculator to evaluate the integral. Do not give an approximate answer)

The average temperature during the period of 9 am to 9 pm is  58.276 ° F

Step-by-step explanation:

From the given information, the time given as 9 pm implies that t = 12, since there is a period of 12 hours between 9 am to 9 pm.

Hence,

Let the average temperature be represented with

Then:

Therefore, the average temperature during the period of 9 am to 9 pm is  58.276 ° F

yes

step-by-step explanation:

step-by-step :