The is involved in coordinating eye and body movement and works with the pons to coordinate sleep and arousal

Mid-brain.

Explanation:

According to my research on studies conducted by neurologists, I can say that based on the information provided within the question the location of the brain being described is called the Mid-brain. This location is also known as the mesencephalon and is the biggest part of the adult brain, which is responsible for all that is mentioned in the question.

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option c is the correct answer.