Act 4...

Act IV, Scene 1
1. What is Claudius' main fear in the immediate aftermath of Polonius' death?
he is worried that he will be next(and rightly so) and that the people will lose faith in him

Act IV, Scene 2
1. What does Hamlet refuse to tell Rosencrantz and Guildenstern?
Where the body is. dun.dun.dun    to be found by the smell >.<

Act IV, Scene 3
1. What image does Hamlet use (ll. 19-29) to warn Claudius he's only king temporarily?
worms will eat him when he dies and a fisherman will use it to fish, a fish will eat the worm and the man will eat the fish. Therefore the man eats the king. 

2. Claudius ends the scene by writing a letter: to whom, and what order does it contain?
To England's king, about killing Hamlet.

Act IV, Scene 4
1. What's the value of the land Fortinbras' army is marching to capture in Poland (l. 20)? What will the invasion itself cost (l. 25)?
Ziltch, nada, zip, nothing!!! 2000 men and 20,000 bucks...ehem...ducats

2. Hamlet's soliloquy (ll. 32-66) is self-critical; summarize his main fault.
All Hamlet does is think and think and think, and never acts. He wants to be like Fortinbras, who thinks as well as acts(and is the only survivor of Hamlet, Laertes, and himself).

Act IV, Scene 5
1. Ophelia's songs during her first appearance in this scene deal with love, death and sex. Why? What do they tell us about her at the moment? What might they reveal about Her, Hamlet and Polonius?
She has lost it but yet there is sence to her songs...kinda. They show that hamlet tricked her into bed but doesn't intend to marry her anymore because he tricked her into it too easily (and she might be tricked into other things by Hamlet's enemies)

2. Why is Laertes a danger to Claudius' throne (ll. 98-103)? (Actually two or three related reasons.)
   1. He has a lot of fallowers under him.

   2. He thinks the King had somthing to do with his dad's death.

3. What does Claudius offer as assurance that he had no part in Polonius' death (ll. 190-9)?
Power, his life, everything

Act IV, Scene 6
1. Horatio receives a letter from Hamlet explaining how he escaped from Rosencrantz and Guildenstern. How did he?
Pirates attacked his ship and he swung over to their ship and they released their grasp on Hamlet's old ship leaving behind Rosencrantz and Guildenstern. (which is ironic because he never takes action and does here, perhaps a change of character that will affect the story)

Act IV, Scene 7
1. What reason does Claudius give Laertes for Hamlet's killing of Polonius (ll. 1-4)?
Hamlet was hoping, but not expecting the hidden person to be the King.

2. What are his two reasons for not charging Hamlet with murder (ll. 9-24)?
   1. His mom is still attached to him and the King doesn't want to hurt her.

   2. He is very popular with the people

3. Claudius reveals that Laertes is famous for his skill with the rapier (a fencing weapon) and that Hamlet is envious of this fame.
Hamlet will chalenge Laertes to a dwel

4. How does Claudius plan to exploit this envy to give Laertes a chance for (public) guiltless revenge (ll. 126-38)?
He says that hamlet will have a normal sword buy Laertes will have a real sword

5. How does Laertes refine the plan (ll. 138-147)?
He will lace the blade with poison

6. What announcement does Gertrude make to end Act IV?

Ophelia has drowned........bomb shell!