A metal rod at 38°C is placed in a room at a constant temperature of 0°C....

A metal rod at 38°C is placed in a room at a constant temperature of 0°C.

(a) If after 20 minutes the temperature of the rod is 20°C, find the temperature function T(t) that
models the temperature T of the rod at time t. Assume Newton's Law of Cooling.
Note: You must state the differential equation that models this situation and include
how to solve this DE as part of your solution.

(b)Determine the time it will take for the bar to reach 10°C.

(c)Determine the temperature of the metal rod after 15 minutes.

Expert Solution

milcah answered 2 years ago

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