Find the average temperature of the room in degrees Celsius between midnight and 5:00 a.m. (Round your answer to three decimal places.)

A computer algebra system is recommended. The temperature in a room at midnight is 20 C. Over the next 24 hours the temperature changes at a rate modeled by the function r(t) = 2 sin nt 12 , where r is measured in degrees Celsius per hour and time t in hours past midnight. (a) What does the expression "(t) at represent in the context of this problem? This integral represents the total change in temperature from midnight to 5:00 a.m. (b) Find the rate at which the temperature in the room is changing, in degrees Celsius per hour, at 5:00 a.m. (Round your answer to three decimal places.) 1.932 .C/hr (c) Find the average temperature of the room in degrees Celsius between midnight and 5:00 a.m. (Round your answer to three decimal places.) .C (d) Find the temperature of the room in degrees Celsius at 5:00 a.m. (Round your answer to three decimal places.) 25.662 .C (e) Find the change in the temperature of the room, in degrees Celsius, between midnight and 5:00 a.m. (Round your answer to three decimal places.) 5.662 OC Need Help? Read It