After a thermometer placed in a water bath with a time constant of 0.2 minutes came to a steady state, the temperature of the water bath began to increase linearly with a rate of 1 0C/min from the moment t = 0. Find the difference between the temperature measured by the thermometer and the water bath temperature; (a) 0.1 minutes after the change, (b) 1 minute after the change, (c) what is the maximum deviation between the measured temperature and the water bath temperature?