Which words in each of the following sentence are being described by an adverb? the dog ran quickly through the gate when he saw the brown squirrel. the squirrel was frantically trying to get all his acorns into a tree.

An adverb modifies an adjective, verb, or another adverb, and usually ends in -ly. They answer questions such as when, where, why, and how.

The adverbs in you sentence are "quickly" and "frantically." 

"Quickly" is modifying "ran" because you can ask yourself: How is the dog running? He is running quickly.

"Frantically" is modifying the verb "trying" because you can ask yourself: How is the squirrel trying to do what he's trying to do?"