<em>He should stop plotting secretly and should confront King Claudius openly.</em>
And this is what Hamlet does when Claudius plots to kill him by sending him to King of England with a secret letter which contains order to kill Hamlet immediately after opening the letter.Hamlet was able to free himself on the ship somehow and read the letter,then he changed the letter to a new one written by himself.And Hamlet comes back to Denmark and informs Claudius that he will be meeting him the next day.Claudius makes a new plot to kill Hamlet by arranging a sword fight with someone,he poisons the sword of his opponent.Claudius also gives him a spiked drink of poison but Hamlet does not drink that and starts to fight.During fight,swords are exchanged and Hamlet kills his opponent and Claudius with his sword.Thus Hamlet is able to take revenge of his father's death by Claudius.Hamlet had seen Claudius during a prayer where he confessed killing Hamlet's father but Hamlet did not want to kill Claudius during prayer thinking that if he does that ,then Claudius will go to heaven and he will go to Hell.
<span>Food is the thing that drives every single action in all of nature. All the animals he encounters, even the plants are all focused on getting food.</span>
Since an infinitive phrase is a phrase that focuses on the object of the verb and an infinitive verb is an -ing verb, your phrase is "taking advanced math".
