To improve something is to make it more desirable in some way. To revamp something is to renovate, redo, or revise it. Revamp comes from the verb vamp, which in its earliest uses meant “to repair (a shoe or boot) with a new vamp.” The noun vamp here refers to the portion of a shoe or boot upper that covers the instep and toes. Revamp entered English with its own footprint, but the idea of making something old new remains central to its meaning.

The verbs explore and scrutinize both mean “to examine,” but scrutinize implies doing so with a more critical eye. To scrutinize something is to inspect it methodically with very close attention to detail. Items that are commonly scrutinized, such as budgets, data, and applications, tend to be complex and consequential. Similarly, people seeking positions of rank and consequence, such as candidates for political office, may be subjected to scrutiny.

The verbs provide and furnish both mean to make something available, but provide is the more general and far more prevalent term. Furnish suggests equipping someone (or a group of people) with needed or useful items or information for a specific task or purpose. Where furnish very notably diverges from provide is in its ability to pull a room together; furnish in this sense means “to supply (a house or room) with necessary furniture, carpets, appliances, etc.”