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.

Answers: 2

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This phenomenon is modeled with a differential equation,

and that equation may be solved...

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