A thermometer with a time constant of 0.25 min is placed in a temperature bath. After the thermometer comes to equilibrium with the bath, the temperature of the bath is

increased linearly with time at a rate of 2°/min. What is the difference between the indicated temperature and the bath temperature? 0.1 min after the change in temperature begins? 1.0 min after the change in temperature begins? O What is the maximum deviation between indicated temperature and bath temperature, and when does it occur? Plot the forcing function & response on the same graph. After a long enough time, by how many minutes does the response lag the input?