Final answer:
The correct answer is b. The cerebellum is responsible for the highly coordinated motion like the smooth pitching action described. It functions by fine-tuning motor commands, ensuring coordination and balance.
Step-by-step explanation:
The part of the hindbrain most associated with highly coordinated movements, such as Denton's effortless and smooth baseball pitch, is cerebellum.
The cerebellum is intricately involved in the fine-tuning of motor activity and is essential for maintaining balance and posture, coordinating voluntary movements, and learning motor skills. It functions by receiving messages from muscles, tendons, joints, and structures in our ear, relating to the control of balance and coordination of movement. The cerebellum compares cerebral motor commands with proprioceptive feedback to ensure smooth and coordinated muscle activity. Corrective commands from the cerebellum are sent through the red nucleus of the midbrain to the spinal cord if any mismatches in movement are detected, ensuring the precise execution of motor activities.