This week we took a practice AP exam.. unfortunately i did not do very well on them but i will try to explain some concepts i have got down pact.
For limit problems:
if you have a problem that asks you to find the limit as x goes to infinity, then you must use your limit rules.
1. If the degree on the top is smaller than the degree on the bottom, the answer is 0.
2. If the degree on the top is bigger than the degree on the bottom, then the answer is infinity.
3. If the degree on the top is the same as the degree on the botton, you divide the coefficients to get the answer.
(the degree of the number is the highest exponent x is raised to)
so for example.. if they gave you this problem and asked you to find the limit as x goes to infinity.
(4x^2 + 3x)/(x^2+2).. the degrees are the same so you would divide the coefficients which are 4 and 1.. so the answer would be 4.
Another thing i have a pretty good handle on is taking the derivative of e.
If you have e raised to something, you bring what e is raised to to the front and e raised to whatever stays the same (NOTE: if e is raised to the zero power, it will always equal 1).
Some things i do not know:
on the AP test, i need help on the following things,
1. the table problems: i do not understand how to use the table on questions 4 and 5
2. number 9, where you have to trace those little lines on that graph.
3.questions 10-12, where they are dealing with velocity, acceleration, and time.. i have no idea how to start those and how to find values on the graph.
4. Integrating with trig functions (probably my biggest problem)
5. number 15, with that other table, i tried to take an educated guess but i'm not sure how to get the right answer.
6. Number 16, with the Riemann sums
7.number 19, i do not understand how to get an equation and what to plug in.
8. Number 20, i know you have to do average value, but again i'm at a loss on how to start
9. LOCAL LINEARIZATION ( trig yet again on number 23)
10. number 24, figuring out what the value of h is?
Well thats about it folks, i'm going to be sitting here most of the day trying to work my corrections, if anyone could help me... i would be forever grateful lol.. bye for now!
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