In AZ. we helped gather cows, our pastor is a shore nuff cowboy. If we had not got the cows and calves up by the third week of Feb, between the lions and coyotes, 40% of the calf crop was lost.
I had riding mules. Some of these cows would get up in the roughest, rockiest terrain you can imagine to protect their calf. The cowboys did not want to use their very best quarter horses up in those rough rocks.
Later on, we got invited back with dogs to hunt the lions, then later deer hunt....as long as I had my mules along for them to ride.
A good friend that has been trapping for nearly 50 years explained to me that coyotes teach each other, and also some coyotes will specialize in different kinds of hunting. Some are great at mousing, others catching rabbits. When one gets good at catching deer fawns or calves, a ranch or farm can be in trouble. Not all coyotes like to hunt everything, just like humans have different talents, so does the coyote.
Around my neck of the woods, they are really rough on goats, turkeys, and take out a huge portion of the deer fawn crop every year. The wild life dept put a camera by a coyote den and 22 fawns were brought to the den in one year. Deer herds are way down here, which really makes the insurance company very happy, and money they are slipping in the back pockets of legislators is paying off in how they protect the coyotes here in this state.
Here in this state, if some were loosing calves due to coyotes, then they still would not let you hunt because of a lack of trust in wondering what you might be up to by having access to their property.