Prom Weekend Post

So Prom was all right... Prom Mania was better. Either way, had a long night so kind of tired even though I still slept 9 hours or so.

I guess I will just do what I did last week...and that was explain a few of the problems that I got wrong and my ways of fixing those issues...

Number 2, Non Calculator Portion
The integral from 0 to 1 of e to the -4x.

So this problem is fairly easy, you just integrate it like normal, and then plug in from 0 to 1. I integrated it and got e^-4 - 1 but I forgot to multiply in my (-1/4) that I had on the outside of the integral...silly mistakes are always the easiest to correct!

Number 9, Non Calculator Portion
If f(x) = ln(x + 4 + e^(-3x)), then f'(0) is ?

So for this problem it's obvious what needs to be done. We need to take the derivative, and then we need to plug in 0 and simplify. Well, when taking the derivative of this, I did the ln x rule, which is 1 / x. But I forgot that you have to multiply by x' or the derivative of x, so that changed my answer completely. After re doing it, I found my answer to be -2/5.

Anyway, other than that, I didn't have too many problems on this portion. The AP this week I found was relatively ... the same in terms of difficulty as the last one. As far as I know, most of you improved your score a bit so that's good. I figure if we keep improving our score by a little bit every week, everyone will be able to pass.

Also, I guess since I'm pretty well endowed with knowledge of Calculus thus far, if you guys need any help I will gladly help you with it. Just try to find some time to see me...whether it be recess, lunch, or even 7th our if Mrs. Robinson allows me to take some time to help you (which I'm sure she won't mind). Trust me, I won't be aggravated by you asking for help, because it's kind of my way of learning... I just happen to learn better by teaching others...I don't know, I've always learned that way.

So yeah, anyway...I'm off to work on my bazillion projects that are due this week...