Newtons Law of Cooling Experiment A thermometer is removed

Chapter 3, Problem 3.1.1.381

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Newton's Law of Cooling Experiment A thermometer is removed from a cup of coffee and placed in water with a temperature \(\left(T_m\right)\) of \(10^{\circ} \mathrm{C}\). The data in Table 3.24 were collected over the next 30 sec.

                                                 

(a) Draw a scatter plot of the data \(T-T_m\).

(b) Find an exponential regression equation for the \(T-T_m\) data. Superimpose its graph on the scatter plot.

(c) Estimate the thermometer reading when it was removed from the coffee.

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