1. What are the purposes of the infinitives in the given sentences? 2. What were the reasons for using infinitives

Конечно, я могу объяснить роль инфинитивов в предложениях. Инфинитивы являются формой глагола, которая, в отличие от других глагольных форм, не указывает на лицо или число. Они имеют несколько целей и ролей в предложениях, в зависимости от контекста. Рассмотрим каждое предложение поочередно и опишем функцию инфинитива в нем.

1. The purpose of the infinitive in this sentence is to show the intention or purpose of the subject. It answers the question "Why?" or "For what purpose?". For example:
- He went to the store to buy some groceries.
- Он пошел в магазин, чтобы купить продукты.

2. The reason for using the infinitive in this sentence is to express the cause or reason for an action. It provides an explanation for the main verb. For example:
- She stayed up late to finish her project.
- Она не спала всю ночь, чтобы закончить свой проект.

3. The infinitive in this sentence functions as a noun and acts as the subject or object of the sentence. It answers the question "Who?" or "What?". For example:
- To read is his favorite pastime.
- Чтение - его любимое времяпрепровождение.

4. In these sentences, the infinitives are functioning as adverbs. They modify the main verb and provide additional information about the action. For example:
- She worked hard to succeed.
- Она усердно работала, чтобы достичь успеха.

5. The infinitives contribute to the meaning of these sentences by indicating the purpose, reason, or intention behind the actions described by the main verbs. They add clarity and context to the overall message of the sentence. For example:
- He studied hard to pass the exam.
- Он усердно учился, чтобы сдать экзамен.

6. The function of the infinitives in each of these sentences can be described as expressing purpose or intention. They explain why the subject performs the main action. For example:
- I went to the gym to exercise.
- Я пошел в спортзал для занятий спортом.

7. The functions of the infinitives in these sentences can be identified as indicating purpose, reason, or cause. They provide additional information about the actions described by the main verbs. For example:
- She went to the library to borrow some books.
- Она пошла в библиотеку, чтобы взять книги.

8. The infinitives fulfill their roles in the given sentences by adding meaning and clarity to the actions described by the main verbs. They help answer questions like "Why?" or "For what purpose?". For example:
- He woke up early to catch the train.
- Он проснулся рано, чтобы успеть на поезд.

9. The functions of the infinitives in these sentences can be described as expressing purpose, intention, or cause. They help specify the motivation behind the actions described by the main verbs. For example:
- They traveled to explore new places.
- Они путешествовали, чтобы исследовать новые места.

Надеюсь, эти подробные объяснения помогут вам понять роль и функции инфинитивов в предложениях. Если у вас возникнут еще вопросы, буду рад помочь вам!