April 11th blog

So this blog I really don't know what exactly to say...

Something I did think about this week was the thing where you have a cross section...basically it gives you an equation, such as y=x^2+2 and then it says that the cross-section is a square, or some other shape, and it wants you to find the volume. All you do is take the area of the square, or whatever shape...so in this case it is s^2. Then, you plug in your equation for your variable, so it becomes (x^2+2)^2. Then, you integrate this from whatever bounds and you have your volume. The only thing to remember is that if you are doing a square, you will NOT have to times by Pi. Also, they should never give you one with like a rectangle, perhaps, because that has two variables. It will always be in terms of one variable as far as I know...

I really don't know what else to explain anymore...I'm pretty sure I've explained like every concept before...lol.

Limit Rules:

1. if the degree of the top is bigger than the degree of the bottom, the limit is infinity.

2. if the degree of the top is smaller than the degree of the bottom, the limit is 0.

3. if the degree of the top is equal to the degree of the bottom, the limit is the coefficient of the leading term of the top divided by the coefficient of the leading term of the bottom equation.

The above rules are really really easy...they also apply to horizontal asymptotes..

Speaking of, to find vertical asymptotes, you set the bottom equal to 0 and solve for x. (bottom of a fraction).

Removeables are when you factor the top and you factor the bottom and they have a term that is the same and can be canceled out.

Anyway, I don't know what else to write about...

Have a good last day of vacation!