Please capitalize where necessary: libri's early work was on mathematical physics, particularly the theory of heat. however he made many contributions to number theory and to the theory of equations.
A: Libri's early work was on mathematical physics, particularly the theory of heat. However he made many contributions to number theory and to the theory of equations.

Q: in this way, any faults can quickly be rectified.

A: In this way, any faults can quickly be rectified.

Q: the fastest and easiest way to open your d07 file is to double-click it.
A: The fastest and easiest way to open your D07 file is to double-click it.

Problem: morning temperatures will be around 20 c. during the day they will reach a maximum of 34 c. low temperatures at night will be around 20c. especially in the afternoon brisk winds with strong gust are from the southwest, later they will shift to the southeast.
Can you repeat this sentence, but capitalize it?
Answer: Morning temperatures will be around 20 C. During the day they will reach a maximum of 34 C. Low temperatures at night will be around 20C. Especially in the afternoon brisk winds with strong gust are from the southwest, later they will shift to the southeast.

Text: saturday 10 february, 2018 61831244 requests since tuesday 16 december, 2003

Correct capitalization: Saturday 10 February, 2018 61831244 requests since Tuesday 16 December, 2003

Text: as a young boy smullyan loved both music and science and he was extremely talented musically.

Correct capitalization:
As a young boy Smullyan loved both music and science and he was extremely talented musically.