this week we did more AP tests and graded them. and corrected them and what not. here's some stuff to go over for you:
Substitution:
1. State your u and du
2. Integrate
3. Plug u back in
also a lot of the time, you need to substitue in a number. when doing this, simply put it in front of the problem when you are done.
LRAM-delta x[f(a)+f(a+delta x)+...f(b-delta x)]
RRAM-delta x[f(a+delta x)+...f(b)]
MRAM-delta x[f(mid)+f(mid)+...]
TRAM-delta x/2[f(a)+2f(a+delta x)+2f(a+2 delta x)+...f(b)]
*for TRAM, delta x is [b-a/# of subintervals]
volume by disks:
pi S [function]^2 dx.
solve it by taking the integral of it and then pluging in the numbers they give you.
REMEMBER TO GRAPH
volume by washers:
pi S [top function]^2 - [bottom function]^2 dx.
take the integral of it and plug in the numbers they give you or you found by setting the formulas equal to each other and then solve
REMEMBER TO GRAPH
what i need help with is ANGLE OF ELEVATION.
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The key to working and angle of elevation is knowing how to work related rate problems. Use pretty much the same steps but you are looking for an angle instead of a rate.
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