Please capitalize where necessary: online registration for the program is easy.
A: Online registration for the program is easy.

Q: in 1933 he published a theorem on convex polyhedra and an elementary proof of the existence of a centre of symmetry in a three-dimensional convex polyhedron.

A: In 1933 he published A theorem on convex polyhedra and An elementary proof of the existence of a centre of symmetry in a three-dimensional convex polyhedron.

Q: if you want to know in advance what turns me off: lesbians
A: If you want to know in advance what turns me off: lesbians

Problem: developer profile robert ressl
Can you repeat this sentence, but capitalize it?
Answer: Developer profile Robert Ressl

Text: source for e27 led lamp hight power spot light manufacturers at zhongshan karnar lighting & electron factory.

Correct capitalization: Source for E27 led lamp Hight power spot light manufacturers at zhongshan karnar lighting & electron factory.

Text: show family tree starting with inga marentha nielsen

Correct capitalization:
Show family tree starting with Inga Marentha Nielsen