(Corrects Liverpool/Arsenal places)
City had captain Vincent Kompany sent off after 10 minutes for hauling down striker Nikica Jelavic on the edge of his own box, but they took the lead two minutes later through David Silva before Edin Dzeko added the second in the 90th minute.
Silva scored with a superbly executed curling shot in the 12th minute after a delicate pass from Yaya Toure and although Hull battled gamely, City made light of their one-man disadvantage and stretched their unbeaten away run in the league to eight games.
Dzeko wrapped up the points from point blank range after a pass from Silva.
City were eliminated from the FA Cup by Wigan Athletic last Sunday and were knocked out of the Champions League by Barcelona on Wednesday. (Reporting by Mike Collett; editing by Justin Palmer)