Hamlet said "to be or not to be, that is the question." what is Hamlet really questioning and why

Which sentence contains a participial phrase that is placed correctly? -jose paid for a hamburger scanning the cafeteria for an empty seat -peeling off her winter jacket, sierra settled into the cozy armchair. -made of soft wool, nadia pulled on a blue sweater -the cowboy jumped from the horse laughing in the face of danger