do one's utmost
try one's utmost

The importance of doing one's utmost to complete a mission was implicit.

The Arabic word "jihad" means doing one's utmost.

But you know, dear, when one's country is as unfortunate as ours has become, one must do one's utmost to help and serve her, mustn't one?"

R"One is doing one's utmost, Little Miss." Š She nodded, accepting that this was all that could be asked of her ship.