Please capitalize where necessary: this first lars larsen left a widow and a son lars larsen jr. (1695-1766).
A: This first Lars Larsen left a widow and a son Lars Larsen Jr. (1695-1766).

Please capitalize where necessary: sprinkle puffed rice in between.
A: Sprinkle puffed rice in between.

Please capitalize where necessary: in recognition of his outstanding contribution to engineering and the sciences through his pioneering work in mathematical programming and his development of the simplex method.
A: In recognition of his outstanding contribution to engineering and the sciences through his pioneering work in mathematical programming and his development of the simplex method.

Please capitalize where necessary: this is how our lubricants ensure problem-free operation - often without anyone knowing they are there.
A:
This is how our lubricants ensure problem-free operation - often without anyone knowing they are there.