Without having the passage, I can only help you to find it on your own. While you read the entire passage, what detail are you reading that supports that national parks are in need of coordinated administration from professionals of the preserves? You have only stated 'detail', so I am assuming they are only asking for one; therefore, you need to look for some type of factual statement to support the sentence.
Answer: Identify the verbal and its function in the sentence: I would rather be *sleeping. It is a gerund functioning as a verb. It is an infinitive functioning as a noun.
