Now that you put your hand to the work, you should do your utmost to finish it.

既然你已经着手这项工作了，那就应该尽力完成它。

《新英汉大辞典》

As we are in urgent need of the goods, would you please do your utmost to effect.

因我方急需此货，请尽力将我匀所订货物于6月底前按期出运。

youdao

We should be grateful if you would do your utmost to……

如你方尽力去……不胜感激。

youdao

The organisers do the utmost for safety and they do a good job, but you can't guarantee anything.

BBC: Plater on pole at North West 200

He said the government would do its utmost to prevent such incidents happening again.

BBC: Burma apologises for police attack on protesting monks

And do your utmost to make sure your opponents don't get anywhere near your goal.

BBC: Birmingham's Michel targets Spain call-up