and with support for battery operation, there's no need to plug into ac either, so you can literally play anywhere!

How would the previous sentence be correctly capitalized?
Answer: And with support for battery operation, there's no need to plug into AC either, so you can literally play anywhere!
as well as combinations of these treatments.

How would the previous sentence be correctly capitalized?
Answer: As well as combinations of these treatments.
one of my favorite cards....

How would the previous sentence be correctly capitalized?
Answer: One of my favorite cards....
one such survey appeared as a two-part paper a glance at graph theory published in the bulletin of the london mathematical society.

How would the previous sentence be correctly capitalized?
Answer: One such survey appeared as a two-part paper A glance at graph theory published in the Bulletin of the London Mathematical Society.