I'm having a couple of problems with my Inspiron I'm hoping someone might be able to help with.  They've both started around the same time so I'm guessing they are linked (but maybe not!)

The first is that the internet has started running very slowly, and I often get pages saying that they are 'not responding'

The second is the laptop has started turning itself off without any warning.  There doesn't seem to be anything specific triggering this and it starts up again as normal if I turn it back on.

I've run some of the diagnostic tests on the Dell website and nothing has come up on them.  I only got it at Christmas so it's not very old!