A weather model gives the temperature at a coastal town by degrees Celsius

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A weather model gives the temperature at a coastal town by

T(t)=20+10\sin\!\left(\dfrac{\pi t}{12}\right)

degrees Celsius, where

t

is the number of hours after midnight. Determine the average temperature between

t=6

(

6\,\text{AM}

) and

t=18

(

6\,\text{PM}