根据下列句子所给汉语意思或提示，写出空缺处单词的正确形式。
Several companies are________(竞争)for the contract. 
We have ________ (做广告)our new product in the local newspaper. 
________(除去) the mud from your shoes before you come in.
She took a ________ (点着的)candle into the room, and the dark room lit up at once.
The new company welcome         (apply) form graduates from Tsinghua University.