Question

An office building has a thermostat that keeps the temperature between $20$and $26$degrees Celsius for $24$hours a day. As the heating and cooling units alternate, the temperature starting from midnight is given by

$T\left(t\right)=20{\sin }^3\left(\frac{\pi }{3}x\right){\cos }^3\left(\frac{\pi }{3}x\right)+22.5$

as shown in the figure. Find the average temperature in the office building between the hours of $9$am and $5$pm.

Short answer

1

Step-by-step solution

Introduction.

1

Given Information.

2

Explanation.

3