Aguero's neat finish after 15 minutes set City on their way during an impressive first half, which was dampened somewhat when the forward limped off.
But the visitors put the game to bed with a blistering second half.
Dzeko then got in on the act himself from close range and though Etienne Capoue pulled on back for Tottenham, Stevan Jovetic's first league goal for City and Vincent Kompany's late effort confirmed their eighth successive league win and condemned Tottenham to their first Premier League defeat under Tim Sherwood.
City's early dominance was rewarded four minutes later, though, when Silva slipped in a perfect ball for Aguero and he delicately stroked his shot past the onrushing Hugo Lloris from 10 yards.
Emmanuel Adebayor's curling effort was deflected wide soon afterwards, but Spurs were indebted to Lloris after 20 minutes when he made a stunning one-handed save to keep out Aguero's pin-point header.
City ensured an 18th win from their last 20 games after 53 minutes when Silva's rasping drive was brilliantly tipped onto the post by Lloris, only for the ball to eventually fall to Dzeko, who slotted home with ease.
But a perfect night was rounded off late on when Jovetic found space in the area to thump beyond Lloris via a deflection, and Kompany's late effort rounded off a five-star performance.
