Does Precise Delivery of Remifentanil Decrease Coughing at Emergence From Anesthesia

The investigators want to find a way to reduce or stop patients from coughing at the end of surgery when the breathing tube is taken out. The breathing tube is removed when the participants are waking up from anesthesia, and are at the point when the participants can breathe on your own. In most types of surgery, coughing at this point is common, and does not affect the participants very much, if at all. But for surgery involving the eye or the head and neck, coughing right after surgery can cause bleeding at the site of surgery. This study will use a short-acting pain drug called remifentanil at the end of surgery to prevent coughing. The investigators will give the participants this medicine for 5 to 30 minutes. The point of the study is to test if using a simple computer program to guide precise delivery of how much of the drug is given to the participants is effective at reducing or preventing coughing.