14 andddd 15

man i just suck at internet stuff, i always forget.
holiday's are overr.. sad. but one step closer to graduationnn!

so for week 14 i'll just talk about riemans sum because that's really the only thing i remember before i left.

RRAM: right handed aprroximation
formula= delta x [ f(a + delta x) ... + f(b)]

EX: calculate the right tiemann sum for a(x)=3x on the interval [-2,3]
divided into 4 sub intervals. (sub intervals are just how many intervals you're setting up/how many numbers you're plugging in.
deltaX=5/4.. use (b-a)/# of subintervals to find this.
5/4[f(-3/4)+f(1/2)+f(7/4)+f(3)]
5/4[(9/4)+(3/2)+(21/4)+(9)= 81

LRAM: left handed approximation
formula= delta x [f(a) + f( delta x +a) .... + f( delta x - b)]

MRAM: is to calculate the middleeee
formula= delta x [ f(mid) + f(mid) + .... ]


MMMM.. let's talk integrals!
yeahh, the fun S stuff.
it is basically the reverse action of a derivative.
.. there are two types: definite and indefinite.

Indefinite: the result of indefinite integration is an equation.
S(x^n)dx = [x^(n+1)]/[n+1] +C.

Definite: the result of definite integration is a number.
Definite - is just F(a) +F(b)= #
-take the intergral of a and b (x,y) and then plug it in to get an answer.

... mmm for #15 i wasnt there the week before thanksgiving so we're just going to pull some stuff from wayy back when, but it's okay because at the end i'll have tonnnss of questions. one thing i know i am is LOST. ohhh, and not to forget to put +C!

related rates:
1. Identify all of the variables and equations.
2. Identify what you want to find.
3. Sketch and label.
4. Write an equations involving your variables.
5. Take the derivative with in terms of time.
6. Substitute the derivative in and solve.

TANGENT LINES! MY FAVORITE
Steps:
Take f ‘(x).
Plug in x to find your slope: m.
Plug x into f(x) to find y (if not already given).
Using m and (x,y), plug it into slope-intercept form: (y-y1) = m(x-x1).

okay so for what i don't understand..
any new things with "graphs" i don't have a clue..
it'd be great if someone would like to go over what i missed those 4 days i was absent, you'd be a life saver and i'll bring you candy.
umm, and on the packet we had over the break.. i don't know what to do with 16-25..
anybody wanna help?