Monday, December 21, 2009

Post 18

So we're off for two weeks. It's really nice considering we don't have any homework over the holidays except for the blog, which I am extremly greatful for. With the blog I will make an a for the nine weeks. Last week was exam week and it was a lot of reviewing. For review, we took two practice ap tests. We also had a take home portion of the exam. Although this was a part of the exam, it also helped with review. To review, I got together with Chelsea, John, and Mabile. We asked questions, worked problems, and taught each other what we did not know.

In my last blog, I had problems deciphoring between average value, average rate of change, and the mean value theorem. After last week of exams and review, I think I have finally gotten them figured out.

First there is average value. It seems like it would be difficult, but it's really easy to do. It's just taking a definite integral and putting a fraction in front of the integral, just as it would be done if something were missing from the integral. In the front, the fraction is 1/a-b. After the fraction is figured out, it is placed in front of the integral and the integral is solved accordingly.

For average rate of change, you're only finding slope. For average rate of change, slope is found by the formula f(b)-f(a)/b-a

For the mean value theorem, the same formula as average rate of change is to be used except this number is to be set equal to the derivative of the function.

Something I still really don't understand is angle of elevation. I used to really understand linerization, but sometimes I get confused on which number in the problem is what and what formulas to plug it into. Back to angle of elevation, I'm always really lost on how to do the problems. I really don't understand how to work the ones where there is a person and a docking station and a plane flying over it or something? I know I would have to make a right triangle to figure it out and use most of the same rules for linerization, but I get lost after that.

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