the question of 2 is T(t)= ?

Suppose a small metal object, initially at a temperature of 50 degrees, is immersed in a room which is held at the constant temperature of 70 degrees. It takes 2 minutes for the temperature of the object to reach 60 degrees. 1. Calculate the heat transfer coefficient r , i.e. the constant of proportionality in the differential equation that describes Newton's law of cooling. r= 2. Suppose now that the room temperature begins to vary; i.e. Troom(t) = 70 + sin(0.1 t). Use Newton's law of cooling and the heat transfer coefficient you calculated in the previous step to compute the temperature of the object as a function of time. Suppose that 7(0) = 60