Please capitalize where necessary: in 1921 he proved his famous theorem on random walks on an integer lattice.
A: In 1921 he proved his famous theorem on random walks on an integer lattice.

Q: "s 199" (oblt. z.s. quistorp) was damaged so severely that it could not be held afloat and had to be scuttled.

A: "S 199" (Oblt. z.S. Quistorp) was damaged so severely that it could not be held afloat and had to be scuttled.

Q: never miss another tournament again as this poker planner is available in the application store. let us further know what the features of this software are.
A: Never miss another tournament again as this poker planner is available in the application store. Let us further know what the features of this software are.

Problem: keep a backup of precious video files on computer and update it on regularly basis
Can you repeat this sentence, but capitalize it?
Answer: Keep a backup of precious video files on computer and update it on regularly basis

Text: the royal observatory had been completed at the cape of good hope in 1828 with the scientific aim to catalogue interesting astronomical objects which could not be observed from the northern hemisphere.

Correct capitalization: The Royal Observatory had been completed at the Cape of Good Hope in 1828 with the scientific aim to catalogue interesting astronomical objects which could not be observed from the northern hemisphere.

Q: games also include all kinds of games associated somehow with the underwater world and mermaids.

A:
Games also include all kinds of games associated somehow with the underwater world and mermaids.