“使竭尽全力”可以表达为“make someone exert/put forth every effort” 或者 “drive someone to go all out” 。
“make someone exert/put forth every effort”中，“make”有“使、让”的意思 ，“exert/put forth every effort”表示“竭尽全力”。例如：The coach made the players exert every effort in the final game.（教练让队员们在最后一场比赛中竭尽全力。）
“drive someone to go all out” 里，“drive”有“驱使、促使”的含义 ，“go all out”也是“竭尽全力”的意思。例如：The pressure from the competition drove him to go all out.（竞争的压力驱使他竭尽全力 。）