OK so this is kind of a big favor, and if nobody wants to do it I totally understand. But any sanity checking would be extremely useful. Here's some sample questions for my final exam: http://math.ucsc.edu/~ginzburg/teaching/23B-2008/prf.pdf No answers were provided for the first 6 problems and silly me forgot to ask. I have done them! I'm not asking for you to do my work :) But I'd like to know if I got them right. So I'll post my answers and, if you feel like it, please let me know how terribly, terribly wrong I am :) 1.(t or f)- t, t, t, t, t, f, t, t, f, f 2. 0 3. 64pi 4. [got this one from a problem in the book, no worries here] 5. 16/3 6. 2 Thanks for any help whatsoever!