Emphasis/Intensity:
* The rain was heavily falling, making it difficult to see.
* The music was playing heavily in the background.
* She heavily relied on her parents for support.
* The room was heavily decorated for the party.
Weight/Load:
* The truck was heavily loaded with cargo.
* The shelf was heavily laden with books.
* The athlete's legs were heavily muscled.
Density/Concentration:
* The air was heavily polluted with smoke.
* The forest was heavily populated with wildlife.
* The fabric was heavily embroidered with intricate patterns.
Emotion/Impact:
* He was heavily influenced by his upbringing.
* The news was heavily criticized by the public.
* The team was heavily favored to win the championship.
Remember: The specific meaning of "heavily" will depend on the context of the sentence.