I live in a town/city, and have only seen one coyote in person, when it ran under my mothers car while we were goin 75mph!!!! Messed up the car good and we couldnt open the drivers side door.
Anyway my buddy up the street had his cat ripped to pieces by two yotes. We are in a city where u can spit on your neighbors from your porch, but these yotes live near the local golf course and come through the nieghborhoods early night or in the morn.
Long story short there are tons of coyotes around here, but you dont see em often. I hunt 10 miles north of where i Live and have yet to see a coyote in the woods!!! But i only been out 2 seasons soo.
Regardless they are smart a$$ varmit and very difficult to hunt. Congrats to you guys that have taken em with a bow. Amazing. Im gonna try and gun some down after deer season.

Jim