I answered their questions 'to the best of my knowledge'. [=I gave the best answers I could based on what I knew, but I might have answered differently if I had known something else]
No one arrived late 'to my knowledge'. [=I am not aware that anyone arrived late, but it is possible that someone arrived late and I don't know about it]
They went on vacation, 'safe in the knowledge' that the farm would be well cared for while they were away.
(..) I think we're all OK Who the hell cares what you think? The Libyan government has disavowed prior knowledge of the attack I'm Tom Grunick reporting from Washington Good afternoon Animation Thanks, everybody (..)1987 Broadcast News