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2)Suppose that at time t an object has a temperature T(t). Theobject is brought into a room that is kept at a constanttemperature Ta. Newton's law of cooling states that T satisfies thedifferential equation dT/dt=k(T-T_a) where k is a negativeconstant.


(a) Suppose that at time t=0 we bring an object whose temperatureis 26˚C in a room whose temperature is 20˚C. Solve for T(t) (notethat k will remain undetermined in this part of the question).

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Keith Leannon
Keith LeannonLv2
14 Apr 2019

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