Question

Princess Poly and Prince Digit are trying to find out who is taking all of Poly's potato crisps from the pantry. While they're investigating, they come across the royal handyman, Wizard N. Gineer, who is checking whether the air conditioner (AC) is working properly in the castle. The King is complaining that the castle is too hot. Poly and Digit ask Mr. N. Gineer if he has seen anyone lurking around the pantry, and he tells them he will offer some advice if they help him perform some calculations related to the AC issues. Poly and Digit agree to help the handyman in order to gather potential evidence. "The King thinks the AC was particularly inefficient yesterday," Wizard N. Gineer tells them, "but I think the AC is working properly. I determined that the function f(x)=24−5cosπ12t represents the outside temperature in degrees Celsius, where t represents the number of hours past midnight yesterday. I want to calculate the hours during which the air conditioner was cooling the castle and show the results to the King." Help ensure that Poly and Digit receive some helpful advice from the royal handyman by using the handyman's function to answer the following questions.

Answer 1

between approximately 6:48 a.m. and 5:12 p.m.

Hope that helps!