Derivitive and function help.

Hey guys, I'm new, but this is the first site that I found...I'm good with numbers, but, when it comes to cal and stuff..I hate variables..and I just have a way harder time understanding..math in chem and physics..easy for me..

The page is here..

ImageShack - Hosting :: mathup5.jpg

Limits I got (I think) a person just went over like..10 minutes with me..a few basic things..and I understood it completly (only like 1 or 2 practice probs in book I got wrong, well..only can check evens..I'm wanting to go to the library and look at instructors solution manual)

1a 12

b 1/2

c 1/2

d -4

e 0? Friend says 0..I thought it might be 1..but 2 people say 0..so maybe I'm missing something for e..

f sqrt of 8

2..man..I have no clue really..other then maybe stick 5 in a..

3. I kind of know (I think) but..I'm not sure what to do with it.. I'm assuming its not cont at x = 2? because when I solve it..as x approaches from right, is 1 while as it approaches from the left is -11

4, I have the answer, 1/2 but that doesn't really help me in how to derive it..I guess with the 1 in there kinda confusing..if some1 could maybe just post what the first step looks like with the 1/x^2 +1?

5 I got, I think..

Its off from -infinity to -3, on from -3 at y = 9 till x=2 y=4 and off again from 2 till infinity (for the parabola..it dips down near 0 right? so I get a dip near x=0? the examples we did just basically had it on only 1 side of the graph..so it was just a slightly curved line..

I dunno..I really wanna do well..as I like science..but most of what I want needs calc..I think some of it I have down is right..but..I'm never sure if what I calc is right..1 q..in the heavyside..if it was like..

x^2[h(x+3) **+** h(x-2)] where its a bolded plus instead of a minus sign..would that indicate below the graph? They really didn't do a whole lot on these..and mostly just straight lines..I dunno..thx for any1 that helps or even looks..I might just save up and get a tutor for a bit..maybe just that little bit of showing how to do it will help..

Edit: The plus isn't bolding..but..the sign between h(x+3) (plus) h(x-2)