The temperature in a room at midnight is 20 degrees Celsius. Over the next 24 ho

Question

The temperature in a room at midnight is 20 degrees Celsius. Over the next 24 hours. ata rate modeled by the differentiable function H, where #H() is measured in degrees Celsius per hour and time r is measured in hours since midnight. Which of the following is the best interpretation of JHO) d the temperature changes (A) The temperature of the room, in degrees Celsius, at 6:00 A.M Whico hlowing s he best interpretation of HO) dt (B) The average temperature of the room, in (C) The change in the temperature of the room, in degrees Celsius, between midnight and 6 (D) The rate at which the temperature in the room is changing, in degrees Celsius per hour, at 6:00 A.M. degrees Celsius, between midnight and 6:00 A.M

Explanation / Answer

As integration gives the area under the graph.

So integration of H(t) over interval will give the total temperature change between the interval.

So, answer will be C i.e

The change in temperature of the room, on degree celsius, between midnight and 6 A.M.  

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