Post Number Twenty One

First thing’s first, NO SCHOOL TOMORROW (:

This week we did practice ap exams. We’ll be doing this for the rest of the year, which scares me because I all of a sudden know NOTHING. I’m not even sure what to do my blog on, that’s how bad off I am. I have a lot of trouble just recognizing what I need to do for the problem. Hopefully as the weeks go on and the more practice tests we do the better I get. So if anyone can help me out with anything, come. I’m begging you, seriously!

Formulas that I know:

Average Value : 1/b – a bSa f(a)

Area between curves : bSa (top equation – bottom equation)

“e integration”: Se^x = e^x + C

ln integration: S 1/x dx = ln x + C
*don’t change to x^-1

Volume by disks: pi bSa [R(x)]^2 dx

Volume by washers: pi bSa (top)^2 – (bottom)^2

Quotient rule: vu’ – uv’/v^2

Product Rule: uv’ + vu’

Substitution steps:
1. Find a derivative inside the integral
2. Set u = to the non-derivative
3. Take the derivative of u
4. Substitute back in

If only I can actually work the problem..

Calculus Graph Vocabulary incase people forgot
1. Increasing – original
2. Decreasing - original
3. Positive Slope – first
4. Negative Slope – first
5. Concave up – second
6. Concave down – second
7. Horizontal tangent
8. Slope = 0
9. Derivative above axis – related to positive slope and concave up
10.Derivative below axis – related to negative slope and concave down
11. Zero of derivative
12. Maximum – original
13. Minimum – original
14. Point of inflection – second

Unfortunately the only one I actually know how to do from the practice test is number one, so that is going to be my example.

Lim x>infinity (3x^2 – 4)/(2 – 7x – x^2)

The answer is -3 because it follows the limit rules. If the degrees match, take the top coefficient over the bottom coefficient, thus giving you the answer.

Obviously I need a lot of help. I need it with everything, so please do so!