The following equation describes the temperature T(t) of a certain object immersed in a liquid bath of

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The following equation describes the temperature T(t) of a certain object immersed in a liquid bath of constant temperature Tb.

 dT 10 + T = Tp dt


Suppose the object’s temperature is initially T(0) = 70°F and the bath temperature is Tb = 170°F.

a. How long will it take for the object’s temperature T to reach the bath temperature?

b. How long will it take for the object’s temperature T to reach 168°F?

c. Plot the object’s temperature T(t) as a function of time.

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