Please capitalize where necessary: priests in sweden has played a big role in people's lives.
A: Priests in Sweden has played a big role in people's lives.

Q: the study of continuous groups of transformations inaugurated by lie resulted in the developments by engel , killing , scheffers, schur , cartan , bianchi and fubini , a chapter which closed about the turn of the century.

A: The study of continuous groups of transformations inaugurated by Lie resulted in the developments by Engel , Killing , Scheffers, Schur , Cartan , Bianchi and Fubini , a chapter which closed about the turn of the century.

Q: trauma/injury to the mouth
A: Trauma/injury to the mouth

Problem: he arrived a few days ago. i heard him by phone.
Can you repeat this sentence, but capitalize it?
Answer: He arrived a few days ago. I heard him by phone.

Text: joint pains and a large risk of osteoporosis.

Correct capitalization: Joint pains and a large risk of osteoporosis.

Q: the french designated this region cochin china and administered it directly as a colony rather than through local rulers.

A:
The French designated this region Cochin China and administered it directly as a colony rather than through local rulers.