A heat probe is attached to the heat exchanger of a heating system. The temperature T (in
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A heat probe is attached to the heat exchanger of a heating system. The temperature T (in degrees Celsius) is recorded t seconds after the furnace is started. The results for the first 2 minutes are recorded in the table.
(a) Use the regression capabilities of a graphing utility to find a model of the form for the data.
(b) Use a graphing utility to graph T1.
(c) A rational model for the data is
Use a graphing utility to graph T2.
(d) Find T1 (0) and T2(0).
(e) Find
(f) Interpret the result in part (e) in the context of the problem. Is it possible to do this type of analysis using T1? Explain.
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