Final answer:
The adverbs in the sentence provided are 'very' and 'diligently,' which describe the manner and intensity of how the subject performed their task.
Step-by-step explanation:
The adverbs in the sentence "My mother left me a list of things to do, and I very diligently worked my way through it" are "very" and "diligently." Adverbs modify verbs, adjectives, or other adverbs, often ending in "-ly" and providing more information about how an action is performed. "Very" qualifies the adverb "diligently," enhancing its meaning, while "diligently" describes the manner in which the subject worked through the list.