3. You and your roommate, a mechanical engineer, each modelled the heat transfer of an industrial process unit and obtained the following two different expressions for the temperature (C) of the unit as a function of time (min). You: T (t) = 100 (1- exp (-0.2t)) Roommate T (t) = 40 exp (-0.01t) At what time would the temperature be the same for the two of you and what would the temperature be at that time?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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3. You and your roommate, a mechanical engineer, each modelled the heat transfer of an
industrial process unit and obtained the following two different expressions for the
temperature (°C) of the unit as a function of time (min).
You:
T (t) = 100 (1- exp (-0.2t))
Roommate
T (t) = 40 exp (-0.01t)
At what time would the temperature be the same for the two of you and what would the
temperature be at that time?
Transcribed Image Text:3. You and your roommate, a mechanical engineer, each modelled the heat transfer of an industrial process unit and obtained the following two different expressions for the temperature (°C) of the unit as a function of time (min). You: T (t) = 100 (1- exp (-0.2t)) Roommate T (t) = 40 exp (-0.01t) At what time would the temperature be the same for the two of you and what would the temperature be at that time?
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