Do they stay even after switching to other apps?
Yes. But in some circumstances, it did reload the form.
Another thing I observed... I like cars and one thing I hated was when I'm on a car forum and people are posting pictures of a car show, there could be 30 or 40 high resolution pictures in a thread. You can imagine what a PITA it was when you went back to that tab and all 30-40 pictures had to reload. Well, yesterday, I was on one of those types of pages. I didn't close the tab. I surfed some more, played a few games, checked email, listened to music, looked at photos, etc. The next morning, I got up, clicked on the tab and NO RELOAD! That webpage remained completely intact with all photos still loaded in memory!
SO cool.
I will say, the battery life is disappointing compared to the iPad 2, 3, mini and Air 1. It always sucks to see the battery percentage gauge drop by a couple of percent when you have not done anything but unlock the iPad and glance at the screen. All of my previous iPads would sit in standby for hours... even a whole day and drop maybe 1 or 2 percent. This one drops battery percentage when you just look at it wrong. However, I've yet to drain it dry and re-cycle the battery yet which may improve battery life. We shall see.