Step-by-step explanation:
The excerpt is a letter from Walton, the captain of a ship, to his sister Margaret. In the letter, Walton describes how they rescued a man who was almost frozen to death. The man agreed to come on board their ship, but he was in a very weak and emaciated state. When they tried to take him inside the cabin, he fainted, so they revived him with brandy and gave him some soup. The soup helped to restore him to health.
To determine the meaning of the italicized words and phrases, I relied on my understanding of the context, as well as my knowledge of vocabulary and grammar. For example, "capitulated" means to surrender or give up, which makes sense in this context because the man agreed to come on board the ship after initially refusing. "Emaciated" means very thin and weak due to lack of food or illness, which describes the man's physical condition. "Restored him to animation" means that they revived him, bringing him back to life after he had fainted. "By slow degrees" means gradually, slowly over time. "Wonderfully" means greatly or significantly, so the soup had a significant positive impact on the man's health.