这组词都有“申请、请求”的意思，其区别是：
application: 指用书面形式提出申请或请求。
request: 普通用词，侧重指明有礼貌或诚意的请求，能否得到满足并无多大把握。
independent: 不依靠的，独立的(of)。如：John was independent of his parents when he was still a child.
dependent: 依赖的，依靠的(on, upon)。如：Success is dependent on your hard work.