in the movement for women's education in oxford he took a keen interest, and for several years recently was treasurer of lady margaret hall.

How would the previous sentence be correctly capitalized?
Answer: In the movement for women's education in Oxford he took a keen interest, and for several years recently was treasurer of Lady Margaret Hall.
the hash is used to track users across sites without the use of cookies or other forms of user tracking.

How would the previous sentence be correctly capitalized?
Answer: The hash is used to track users across sites without the use of cookies or other forms of user tracking.
over time, the rotating equipment gets out of balance, which usually results in increased vibrations.

How would the previous sentence be correctly capitalized?
Answer: Over time, the rotating equipment gets out of balance, which usually results in increased vibrations.
diver’s lifeline with a cable for video and data (e.g. for a depth sensor) and a separate communication cable.

How would the previous sentence be correctly capitalized?
Answer: Diver’s lifeline with a cable for video and data (e.g. for a depth sensor) and a separate communication cable.