Question: This phenomenon is modeled with a differential equation, and that equation may be solved to give T(t) = TA + [To - TA]b' where 7(t)

This phenomenon is modeled with a differential equation, and that equation may be solved to give T(t) = TA + [To - TA]b' where 7(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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