Handy exam trick: when you know the answer but not the correct derivation, derive blindly forward from the givens and backward from the answer, and join the chains once the equations start looking similar. Sometimes the graders don't notice the seam.
Right, so I've just gone through all twenty seven pages of this thread and made all of the over sized pictures into links. Either make the pictures into links yourself or re-size them. Do not post over sized images, they may go missing.
This is Flood...It's not supposed to be well organized, just kept free of incredibly insensitive subjects and lolwuttery like "OMG I HAZ BIGGER SPACESHIP THAN J00!".