This response provides answers and explanations for the given exercises on identifying gerund and infinitive phrases.
10. In the sentence 'All units will remain here for processing,' the gerund phrase 'for processing' is used as the object of a preposition.
11. In the sentence 'Becoming a doctor takes many years of study,' the gerund phrase 'Becoming a doctor' is used as the subject.
12. In the sentence 'The young actor's purpose is playing her role convincingly,' the gerund phrase 'playing her role convincingly' is used as the predicate nominative.
13. The infinitive phrase in the sentence 'Are you ready to jog?' is 'to jog.'
14. The infinitive phrase in the sentence 'My family is able to take a short vacation' is 'to vacation.'
15. The infinitive phrase in the sentence 'To buy a newspaper, drop the coins into the slot' is 'to newspaper.'
16. In the sentence 'To make a long story short, skip the part about the frog in the laundry,' the infinitive phrase 'to make a long story short' is used as an adverb.
17. In the sentence 'The case to review is on the lawyer's desk,' the infinitive phrase 'to review' is used as a noun as the subject.
18. In the sentence 'To play in the band is my dream,' the infinitive phrase 'to play in the band' is used as a noun as the subject.
19. The underlined phrase 'to do a fun dance' in the sentence 'If you want to do a fun dance, consider learning the polka' is an infinitive phrase.
20. The underlined phrase 'Appearing around 1830' in the sentence 'Appearing around 1830, the polka originated in Bohemia' is a participle phrase.
21. The underlined phrase 'Dancing up a storm' in the sentence 'Dancing up a storm is a good way to get exercise' is a gerund phrase.
22. The underlined phrase 'Having a good partner' in the sentence 'Having a good partner makes the polka even more fun' is a participial phrase.
23. The sentence 'Creaking loudly on dented wheels, the little girl seemed quite proud to be pushing the cart through the grocery store' contains a misplaced modifier.
24. The sentence 'Long, slender trees ranging from 20 to 30 feet stretched to the skies' contains a misplaced modifier.
25. The sentence 'Tired of waiting for someone to come to the door, I saw the cat lie down and go to sleep' contains a misplaced modifier.