Final answer:
The preferred method for euthanasia in research involving livestock such as sheep, goats, and cattle is the use of a captive bolt device, which is considered humane and effective.
Step-by-step explanation:
In the context of research involving livestock such as sheep, goats, and cattle, the preferred method of euthanasia is typically the use of a captive bolt device. This method is considered humane and effective when performed correctly. A captive bolt device delivers a forceful blow to the head of the animal, resulting in immediate unconsciousness followed by death, either from the trauma itself or through subsequent exsanguination. Due to the size and nature of these animals, other methods such as electrocution, cervical dislocation, or inhalation of carbon dioxide are either not suitable or not considered best practice in terms of animal welfare and ethical standards set by animal research guidelines.