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Aguero went down with a right hamstring injury just before halftime. Jovetic came on for his first league appearance in three months.
But City didn't miss Aguero after the break, and showed it can cope without the striker if he is sidelined.
Pellegrini's side had a man advantage when Rose saw red _ a decision disputed by Sherwood _ and Toure netted the penalty.
Down to 10 men, Tottenham Hotspur's defense was breached again inside two minutes.
Pablo Zabaleta's cutback was slammed against the post by David Silva, and Dzeko was alert to the rebound, turning the ball into the roof of the net. It was the striker's sixth goal in as many games against Tottenham Hotspur F.C.
City's defense gifted Tottenham Hotspur F.C. a consolation in the 59th, as Capoue brought down Eriksen's corner, then sent a scuffed shot past goalkeeper Joe Hart.
But Tottenham Hotspur F.C. couldn't mount a comeback. If anything, the pace of City's attacks became more lethal.
“They put us to the sword,'' Sherwood said. “And that's how football should be played.''
Jovetic scored his first league goal since joining City in July, curling low past Lloris in the 78th after cutting in from the left.
And Kompany tapped in the fifth from the rebound after Dezko's shot was initially blocked, taking City's league tally alone to 68, exceeding last season's haul with 15 games to go.