Final answer:
The muscles involved in quiet respiration are the diaphragm and the intercostal muscles. The nerves that control these muscles are primarily located in the medulla oblongata and the pontine respiratory group.
Step-by-step explanation:
The muscles involved in quiet respiration are the diaphragm and the intercostal muscles. The diaphragm is the primary muscle responsible for breathing, contracting, and relaxing to facilitate inspiration and expiration. The intercostal muscles, located between the ribs, also play a role in expanding and contracting the thoracic cavity during respiration.
The nerves that control these muscles are primarily located in the medulla oblongata and the pontine respiratory group. The medulla oblongata contains the dorsal respiratory group (DRG) and the ventral respiratory group (VRG), which send nerve signals to the diaphragm and intercostal muscles to initiate and regulate the breathing process.