講解：
busy (doing sth)
忙于(做某事):
James is busy practising for the school concert.
詹姆斯正忙著為學校音樂會排練。

immensely popular / difficult / grateful
非常受歡迎/艱難/感激
His new songs are immensely popular.
他的新歌非常受歡迎。

take your courage in both hands
鼓起勇氣(做自己害怕做的事)；敢作敢為:
Taking her courage in both hands, she opened the door and walked in.
她壯著膽打開門,走了進去。

shadow of sb / sth
(壞)影響:
The new leader wants to escape from the shadow of his predecessor.
新任領導想要擺脫前任的影響。

desperate (for sth);desperate(to do sth)
非常需要；極想；渴望:
He was so desperate for a job he would have done anything.
他當時太想找份工作了,什么事都愿意干。

install sth
安裝；設置:
The hotel chain has recently installed a new booking system.
這家連鎖旅館最近安裝了新的預訂系統。

willing to do
愿意；樂意:
They keep a list of people (who are) willing to work nights.
他們有一份愿意夜間工作的人的名單。

trial and error
反復試驗；不斷摸索:
Children learn to use computer programs by trial and error.
兒童通過反復摸索才學會運用計算機程序。

display sth (to sb)
陳列；展出；展示
The exhibition gives local artists an opportunity to display their work.
這次展覽為當地藝術家提供了展示自己作品的機會。