What year is your car? IF you have a '08 or '09 with more than 50K... I would change your water pump, before it leaves you stranded. '10's and up seem to last longer, but still fail before 90K miles.
What most people refer to the "fax machine" or "laser printer"(warming up) is in fact the water pump cycling when you switch the car off. This noise is a much more high(er) pitched noise them your "buzzer" noise.
You could activate the water pump's self bleeding mode, by putting the key fib into teh car(but not starting the car!) and then holding the throttle down for for 15 sec's. You should then hear the water pump cycle on/off/on...
Dack