Category theory - right adjoint problem

[razizi]

I'm stuck with the attached practice problems. does anyone with knowledge of category theory please have solutions?

 

[Hurkyl]

We are not an answer service -- we will help you work through the problem, but we will not give you answers.

That said, a lot of people (myself included) are turned off by having to open a *.doc file...

 

[razizi]

Thanks for offering to assist. I'll take note regarding attaching word documents.