He 'kept/maintained his cool' [=he didn't get angry or upset] even though it was clear that he was being unfairly treated.
He was struggling to 'maintain his cool/composure'. [=he was struggling not to become angry or upset]
They barely had enough food to 'maintain life'. [=to make it possible for life to exist or continue]
(..) - You're on thin ice, Counselor. - Very well. Now, Mr. Griffin, I'm going to recite a biography and I'd like you to maintain your composure. "On December , , - Treat Williams was born..." - Treat? W-Where? Where? - Where's the treat? - Thank you. (..)2020 TvShow: Family Guy Title: Movin' In (Principal Shepherd's Song) Season: 18 Episode 20