a favourite method is to, for example, ignore positive results.

How would the previous sentence be correctly capitalized?
Answer: A favourite method is to, for example, ignore positive results.
with a twist of humor he sees crisis management as his own specialty during the past couple of years.

How would the previous sentence be correctly capitalized?
Answer: With a twist of humor he sees crisis management as his own specialty during the past couple of years.
gravity a vairation of classic moon-lander game.

How would the previous sentence be correctly capitalized?
Answer: Gravity A vairation of classic Moon-Lander game.
the vet and botai agreed about it though and it didn't take long for the experienced don juan to charm himself upon the not as experienced princess.

How would the previous sentence be correctly capitalized?
Answer: The vet and Botai agreed about it though and it didn't take long for the experienced Don Juan to charm himself upon the not as experienced princess.