This phenomenon is modeled with a differential equation,
and that equation may be solved...
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Mathematics, 18.07.2021 22:00 Aerial14
This phenomenon is modeled with a differential equation,
and that equation may be solved to give
T(t) = TA + [To-TA]b¹
where T(t) is the varying temperature of the object at a given time, t, TA is the surrounding ambient temperature, To is the initial temperature of the object, and b is a constant that depends on the material the object is composed of and how fast it heats or cools.
Suppose you decided to make a cup of hot tea heated to 220 °F in the kitchen that is at 70 °F.
1.Solve the above equation for the constant b.
2. If the cup of hot tea cooled to 170 °F in 10 minutes, find the value of the constant b in the above equation. Express your answer to 5 decimal places.
3.Solve the above equation for t.
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