in a way that shows that you want to obey and do everything that you are expected to do

Once he began his experiments, he followed every scientific lead and dutifully recorded his results. 他一开始实验，就遵循每一条科学线索，尽职尽责地记录结果。

Thomas dutifully tried to live up to his grandfather's wishes. 托马斯尽心尽责，努力不辜负祖父的期望。