Please capitalize where necessary: after the publication darwin became busy writing "a short summary".
A: After the publication Darwin became busy writing "a short summary".

Q: flight time from copenhagen to chongqing with finnair: 12 hours

A: Flight time from Copenhagen to Chongqing with Finnair: 12 hours

Q: as women get older, a lot of them shortly recognize that they do not get pleasure from sex as much as they used to in their younger days.
A: As women get older, a lot of them shortly recognize that they do not get pleasure from sex as much as they used to in their younger days.

Problem: wednesday 01 november, 2017 11367180 requests since wednesday 11 february, 2009
Can you repeat this sentence, but capitalize it?
Answer: Wednesday 01 November, 2017 11367180 requests since Wednesday 11 February, 2009

Text: while their children remember their altars and their asherim by the green trees on the high hills.

Correct capitalization: while their children remember their altars and their Asherim by the green trees on the high hills.

Text: 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.

Correct capitalization:
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.