Which detail from dore's illustration is not found in dante's poem? a) the demons threatening virgil and dante with their pitchfolks b) the demons showing their rage c) virgils standing fearlessly against the demons d) dante cowering behind virgil

Dante cowering behind virgil

I assume you are referring to Dore's illustration "Malebranche" which depicts Dante's Canto XXI. I would say the correct answer is D) Dante cowering behind Virgil. Dante is indeed cowering so as to hide himself, while still being able to observe the scene. But he is not behind Virgil, but behind a stone. Virgil himself instructed him to do that: "That it be not / Apparent thou art here, crouch thyself down / Behind a jag, that thou mayest have some screen." The demons are threatening the two of them with their pitchforks, showing their rage. Virgil does stand fearlessly against them, asking for their leader, so they might talk. You can see that in the following lines:
"Then he passed on beyond the bridge's head,
And as upon the sixth bank he arrived,
Need was for him to have a steadfast front.
With the same fury, and the same uproar,
As dogs leap out upon a mendicant,
Who on a sudden begs, where'er he stops,
They issued from beneath the little bridge,
And turned against him all their grappling-irons;
But he cried out: "Be none of you malignant!
Before those hooks of yours lay hold of me,
Let one of you step forward, who may hear me,
And then take counsel as to grappling me."

I believe that the factors that contribute to Hamlet's decision in ACT IV to resolve to seek revenge are B. Claudius's attempt to kill him and D. the play within the play.
B. should be correct because Claudius sent Hamlet's former best friends, Rosencrantz and Guildenstern to kill him. D. should be correct because this play confirmed Hamlet's suspicions that Claudius killed his father.
I don't think A or C are correct because Hamlet didn't really for either Polonius or Ophelia - so their deaths didn't disturb him into action much.