Please capitalize where necessary: in fact smale attacked the generalised poincaré conjecture using morse theory.
A: In fact Smale attacked the generalised Poincaré conjecture using Morse theory.
Q: after we had been silent for several hours and began to feel we had emptied ourselves and felt empty, new inspiration and information would just pour in over us. and then i knew what the next step in the story should be. after that i would go home and write and write.

A: After we had been silent for several hours and began to feel we had emptied ourselves and felt empty, new inspiration and information would just pour in over us. And then I knew what the next step in the story should be. After that I would go home and write and write.
Q: these hamilton watches for women are all about value and vintage charm; their classic styles forming their very base.
A: These Hamilton watches for women are all about value and vintage charm; their classic styles forming their very base.
Problem: 46:2 and god spake unto israel in the visions of the night, and said, jacob, jacob.
Can you repeat this sentence, but capitalize it?
Answer: 46:2 And God spake unto Israel in the visions of the night, and said, Jacob, Jacob.
Text: 10. find the angle x

Correct capitalization: 10. Find the angle X
Please capitalize where necessary: in 2008, she stood on the podium at the us open. the year 2009 ended with a double success.
A:
In 2008, she stood on the podium at the US Open. The year 2009 ended with a double success.