Please capitalize where necessary: we do this because the price, especially when the trend is nearing its end, often not goes all the way up to the ceiling of the trend.
A: WE do this because the price, especially when the trend is nearing its end, often not goes all the way up to the ceiling of the trend.

Please capitalize where necessary: the drivers needed to access the disk will still be loaded, but at a later stage.
A: The drivers needed to access the disk will still be loaded, but at a later stage.

Please capitalize where necessary: although his research was in applied mathematics, it was through the problem of accretion of gas by a large gravitating body which ray lyttleton discussed with him that hoyle's interests turned towards mathematical problems in astronomy.
A: Although his research was in applied mathematics, it was through the problem of accretion of gas by a large gravitating body which Ray Lyttleton discussed with him that Hoyle's interests turned towards mathematical problems in astronomy.

Please capitalize where necessary: he spoke to luke in a calm voice "so you are the one who's going to stop my plans. well, i see that you have the ring of equalibrium. oh, well. i'll just have to kill you without magic then."
A:
He spoke to Luke in a calm voice "So you are the one who's going to stop my plans. Well, I see that you have the Ring of Equalibrium. Oh, well. I'll just have to kill you without magic then."