Bacteria living in a cow's stomach the cow break down the cellulose in grass, and the bacteria gains nutrients in the process. what type of symbiosis is this an example of, and why?

The relationship between the cow and the bacteria is a type of symbiosis known as mutualism. The bacteria living in the cow's stomach help the cow to break down the cellulose in grass, while the bacteria gains nutrients in the process. The two organisms benefits from the relationship and this is an example of mutualism.

if the hares very faster than they are now, and thus the lynx's hunting success rate drops because it will be harder to catch them, the rate that will change will be the pray-rate. the pray-rate will change because more hares will be able to survive, thus more individuals for reproduction, so the end result will be increasing population of hares.

the predator-rate will remain pretty much the same because there will be more than enough pray, but the hunting success rate is stagnant.