A1/A2 Makeup Work for Absent Students 1/27

Please read Hamlet, Act III, scene iv: https://www.folgerdigitaltexts.org/html/Ham.html#line-3.4.0
and answer the following questions:

1. How does Hamlet react to the death of Polonius (III.iv.26-46)?
2. Explain the significance of Hamlet's use of classical allusions in III.iv.63-68.
3. The Ghost says to Hamlet that his reason for appearing is to "whet thy almost blunted purpose" (III.iv.127).  What does this line mean?  Hint: "whet" is a word that means to sharpen. 
4. Famous line alert: Hamlet apologizes for being so mean to his mother by saying, "I must be cruel ... to be kind" (III.iv.199).  This isn't a question; I just like pointing out these lines :)
5. Really important thematic idea: Hamlet tells the Queen not to let Claudius find out that Hamlet is "essentially ... not in madness / But mad in craft" (III.iv.209-210).  What earlier conversation(s) or line(s) does this idea connect with???