Final answer:
The vestibular nuclei of the brainstem receive sensory information for equilibrium from the semicircular ducts, utricle and saccule, proprioceptors in the neck muscles, and the eyes. Therefore, the correct option is A, B, C, D.
Step-by-step explanation:
The vestibular nuclei of the brainstem that control equilibrium receive sensory information primarily from structures within the inner ear responsible for balance. These structures include the semicircular ducts, utricle and saccule, which are part of the vestibule in the ear. The information from these structures is crucial for maintaining balance and coordinating movements, thus reflecting the integration of sensory information for the sense of equilibrium.
Other structures such as proprioceptors in the neck muscles and the eyes also contribute to balance by providing additional information regarding the position and movement of the head and body. These inputs, alongside those from the vestibular system, help maintain stability and orientation.