Первое shall, потому что в первом лице в будущем времени при предложении что-либо сделать или как-либо используется именно shall, а не will.
Конструкция be going to V используется для намерения сделать что-либо в будущем: "Я собираюсь навестить брата в больнице". Вариант b не подходит грамматически, а вариант c по смыслу.
В третьем используется длительное время для обозначения действия, которое длилось определённый промежуток времени, и во время этого промежутка произошло второе действие, обозначенное временем Past Simple: i WAS WATCHING tv when my mother CAME. i WAS PREPARING dinner when the light GOT OFF. Таким образом описываются действия, которые происходили определённый промежуток времени и внезапно прерывались другим, одномоментным, действием. Надеюсь, всё понятно. :)
1. Looking at the fashion magazine, I realized that all my dresses out of fashion. 2. Feed the cat, she began to prepare dinner. 3. Thinking that we were lost, he offered to show us how to get out of the forest. 4. Knowing that she had no money, I offered to pay for it. 5. Paint the ceiling, we began to Wallpaper the walls. 6. Finding the house empty, she went outside. 7. Realizing that she doesn't have time to train, she decided not to hurry. 8. Having spent all the money he began to borrow. 9. Since I've already seen this movie, I decided to switch to another program. 10. Leaving the bus, she headed to the bakery. 11. Turning on the light, I saw that the room someone was. 12. As I sat in the first row, I clearly saw everything that happened on stage. 13. Not knowing what to do, she decided that she would try to win time. 14. Believing that he could trust him, she signed the document. 15. Finding that the door isn't locked, and seeing that there was no one, the thief entered the room and stole a bag.
Конструкция be going to V используется для намерения сделать что-либо в будущем: "Я собираюсь навестить брата в больнице". Вариант b не подходит грамматически, а вариант c по смыслу.
В третьем используется длительное время для обозначения действия, которое длилось определённый промежуток времени, и во время этого промежутка произошло второе действие, обозначенное временем Past Simple:
i WAS WATCHING tv when my mother CAME.
i WAS PREPARING dinner when the light GOT OFF.
Таким образом описываются действия, которые происходили определённый промежуток времени и внезапно прерывались другим, одномоментным, действием. Надеюсь, всё понятно. :)
2. Feed the cat, she began to prepare dinner.
3. Thinking that we were lost, he offered to show us how to get out of the forest.
4. Knowing that she had no money, I offered to pay for it.
5. Paint the ceiling, we began to Wallpaper the walls.
6. Finding the house empty, she went outside.
7. Realizing that she doesn't have time to train, she decided not to hurry.
8. Having spent all the money he began to borrow.
9. Since I've already seen this movie, I decided to switch to another program.
10. Leaving the bus, she headed to the bakery.
11. Turning on the light, I saw that the room someone was.
12. As I sat in the first row, I clearly saw everything that happened on stage.
13. Not knowing what to do, she decided that she would try to win time.
14. Believing that he could trust him, she signed the document.
15. Finding that the door isn't locked, and seeing that there was no one, the thief entered the room and stole a bag.