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Physics, 20.09.2020 09:01 adrianna2324

Newton’s law of cooling says that the temperature of a body changes at a rate proportional to the difference between its temperature and that of the surrounding medium (the ambient temperature), dTdt=−k(T–Ta) where T = the temperature of the body(∘C), t = time (min), k = the proportionality constant (per minute), andTa= the ambient temperature(∘C)Suppose that a cup of coffee originally has a temperature of 70∘C. Use Euler’s method to compute the temperature from t = 0 to 10 min using a step size of 2 min if Ta=20∘C and k = 0.019/min.

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