What does it mean to ask someone earnestly or anxiously to do something?

The term "entreat" means to ask someone earnestly or anxiously to do something. This word conveys a sense of urgency and deep desire in the request being made. When someone is entreating another person, they are typically trying to persuade them to take action through heartfelt appeal or earnestness. It often implies that the matter is important or significant, and the person making the request is doing so with sincerity and earnestness.

In contrast, the other terms do not align with this meaning. "Desist" refers to stopping or ceasing an action, which is unrelated to asking someone to do something. "Sway" involves influencing someone, often in a more indirect or persuasive manner, rather than making a direct and urgent request. "Extol" means to praise enthusiastically, which does not capture the essence of requesting someone to act earnestly. Thus, "entreat" clearly stands out as the correct choice in this context.