Final answer:
The brain's hypothalamus is the central component of the homeostatic system for regulating body weight and is responsible for maintaining homeostasis through the regulation of autonomic and endocrine functions.
Step-by-step explanation:
The brain's hypothalamus is at the center of the homeostatic system that regulates body weight. The hypothalamus is an integral part of the forebrain and a vital component of the homeostatic mechanisms controlling various bodily functions. It serves as the master control center for homeostasis through the autonomic and endocrine systems. This includes regulating functions such as temperature control, food and water intake, energy expenditure, and sleep cycles. Moreover, the hypothalamus helps maintain balance in various autonomic functions by integrating inputs and coordinating responses.