it was a time of rapid mathematical development and gregory found that collins , with his up-to-date knowledge of developments, was most helpful to him.

How would the previous sentence be correctly capitalized?
Answer: It was a time of rapid mathematical development and Gregory found that Collins , with his up-to-date knowledge of developments, was most helpful to him.
theme: active democracy in europe: your role in shaping the future

How would the previous sentence be correctly capitalized?
Answer: Theme: Active democracy in Europe: Your role in shaping the future
in seconds, you will learn exactly what type of dxpack file you have, the software program associated with your file, the publisher who created it, its security safety status, and a variety of other useful information.

How would the previous sentence be correctly capitalized?
Answer: In seconds, you will learn exactly what type of DXPACK file you have, the software program associated with your file, the publisher who created it, its security safety status, and a variety of other useful information.
this ensures that the analyses are objective and consistent for further use.

How would the previous sentence be correctly capitalized?
Answer: This ensures that the analyses are objective and consistent for further use.