Solved: A cup of coffee cools according to Newtons law of cooling (3). Use data from the

Chapter 1, Problem 5

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A cup of coffee cools according to Newton’s law of cooling (3). Use data from the graph of the temperature T(t) in FIGURE 1.3.10 to estimate the constants \(T_{m}, T_{0}\), and k in a model of the form of the first-order initial-value problem

\(\frac{d T}{d t}=k\left(T-T_{m}\right)\), \(T(0)=T_{0}\)

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