В следующих предложениях замените придаточные времени герундием с предлогом after.

1.After TAKING the child to the kindergarten, she went to the library to study for her examination.
2. After HAVING MADE a thorough study of the subject, he found that it was a great deal more important than he had thought at first.
3. After HAVING HESITATED some minutes whether to buy the hat or not, I finally decided that I might find one I liked better in another shop.
4. After HAVING GRADUATED from the university, she left St. Petersburg and went to teach in her hometown.
5. After HAVING PROVED that his theory was correct, he started studying ways and means of improving the conditions of work in very deep coalminers.
6. After HAVING BOUGHT everything she needed, she went home.

PS Форма герундия зависит от формы глагола в предложении - если глагол был в форме Past Simple, то и герундий будет в форме Simple (sentence 1). Если же глагол в форме Past Perfect, то и герундий будет в форме Perfect - такие вот дела...

1.After tooking the child to the kindergarten, she went to the library to study for her examination.
2. After making a thorough study of the subject, he found that it was a great deal more important than he had thought at first.
3. After hesitating some minutes whether to buy the hat or not, I finally decided that I might find one I liked better in another shop.
4. After graduating from the university, she left St. Petersburg and went to teach in her hometown.
5. After proving that his theory was correct, he started studying ways and means of improving the conditions of work in very deep coalminers.
6. After buying everything she needed, she went home.