question: most of the patterns on the map fit expectations.
Capitalize this past sentence correctly.
A: Most of the patterns on the map fit expectations.

question: the time it takes to fully charge the battery.
Capitalize this past sentence correctly.
A: The time it takes to fully charge the battery.

question: however, despite his success as a mathematician, playfair exchanged the chair of mathematics for the chair of natural philosophy in 1805.
Capitalize this past sentence correctly.
A: However, despite his success as a mathematician, Playfair exchanged the Chair of Mathematics for the Chair of Natural Philosophy in 1805.