I live in Denver. Urban coyotes are a big issue here, and if I could shoot the ones that are in the open space behind my house I would.
They're sneaky little turds. They will lure dogs into a steep creek bank where the dogs can't get out easily and then they gang up on them and it's bye bye to the family pet.
I've lived in the Midwest and heard them kill a cow. The cows scream for what seems like hours as the coyotes kill it. The sound travels for miles.
No sympathy from me for coyotes.