post 22

This past week we only had school 3 days and I missed half of one of those three. And it just so happened Mrs. Robinson was not there either so I missed the right day. But the other two days we took another practice AP test. Some things that were on it were:

Related rates were on there. The steps for related rates are:
1. Pick out all variables
2. Pick out all equations
3. Pick out what you are looking for
4. Sketch a graph and label
5. Create an equation with your variables
6. Take the derivative respecting time
7. Substitute back into the derivative
8. Solve

The limit rules were on there too. They are:
1. if the top and bottom exponents are the same the limit is the top coefficient over the bottom coefficient.
2. if the top exponent is bigger than the bottom exponent the limit is infinity.
3. if the top is less than the bottom, it goes the limit is 0.

The Riemans sum was also on there and it is:
LRAM-Left hand approximation=delta x[f(a)+f(a+delta x)+...f(b-delta x)]
RRAM-Right hand approximation=delta x[f(a+delta x)+...f(b)]
MRAM-Middle approximation=delta x[f(mid)+f(mid)+...]
Trapezoidal-delta x/2[f(a)+2f(a+delta x)+2f(a+2 delta x)+...f(b)]
*delta x=b-a/number of subintervals

Tangent lines were on there too and the steps for finding the tangent line are:
1. Take the derivative of the equation like normal
2. Plug in the x value which gives you your slope
3. Use the slope you get and the point given and plug into slope intercept form (y-y1)=slope(x-x1)
*If a point is not given and only an x value is given plug the x value into the original which will give you a y value creating a point.

For the things I am having trouble with is mainly tables and graphs. I used to know how to do them now I guess I forgot. And the biggest problem is that I need to study. If I could fix that problem I will be all right.