the french tech industry gathers at the ornate hôtel de ville.

How would the previous sentence be correctly capitalized?
Answer: The French tech industry gathers at the ornate Hôtel de Ville.
the french chemist antoine l. lavoisier (1743-94) is generally regarded as the man who pioneered work on organic chemistry.

How would the previous sentence be correctly capitalized?
Answer: The French chemist Antoine L. Lavoisier (1743-94) is generally regarded as the man who pioneered work on organic chemistry.
the cenozoic era began 65 million years ago and continues to this day. at this time any plants and animals that surround us today.

How would the previous sentence be correctly capitalized?
Answer: The Cenozoic era began 65 million years ago and continues to this day. At this time any plants and animals that surround us today.
each w1404xl woofer contains xl technology with two voice coils in the magnet instead of one. these small woofers are incredibly durable and precise because the various movable parts are cast together in the same mould and not glued together like traditional woofers.

How would the previous sentence be correctly capitalized?
Answer: Each W1404XL woofer contains XL technology with two voice coils in the magnet instead of one. These small woofers are incredibly durable and precise because the various movable parts are cast together in the same mould and not glued together like traditional woofers.