sa

	*(DEFINITIONS)*
MVT: If f(x) is continuous on the closed
interval [a,b] and differentiable on
the open interval (a,b), there is a number
a<c<b such that f'(c) = (f(b)-f(a)) / (b-a)

MVT in english: Do rise/run of a and b
to find the slope of some point c.

PFD: factor out denominator and xmultiply



	*(PHYSICS)*

ON THE OPEN ENDED, IF IT ASKS FOR
POSITION OF SOMETHING, IT'S THE
POSITION YOU'RE GIVEN AT SOME POINT
PLUS THE CHANGE!!! IE: If f(8) = 2,
and you want the position at 10, it's
2 + the integral of speed from 8 to 10.


Velocity = D(Position)

Accel. = D(Velocity)

Velocity Vector: <dx/dt , dy/dt>

speed = sqrt((x')^2 + (y')^2)

distance = integral of that ^

Average velocity:  delta(x)/delta(t)


	*(FUCKERY)*

AREA BETWEEN CURVES

Integral of top - bottom (dx)
or right - left (dy)


(1/2) * integral(r^2 dtheta) = AofPOLAR

pi * integral of R^2 - r^2 = DISC


dy/dx of parametric = dy/dt / dx/dt

dy/dx of polar = dy/d0 / dx/d0


	*(SERIES)*


TAYLOR SERIES GENERAL TERM:

f(x) = f(a) + f'(a)(x-a) + f''(a)/2! * (x-a)^2
+ f'''(a)/3! * (x-a)^3

Geometric: if sigma(a * r^n){
	diverges if |r| >= 1;
	converges to initial / (1-r) if |r|<1;
}

P series:
if sigma(1/n^constant){
	if c = 1, harmonic + diverges
	if c > 1, converges
}


e^x = 1+x+x^2/(2!)+x^3/(3!) = x^n/n!

cos(x) = 1-(x^2)/2! + x^4/4! = (-1)^n*(x^2n)/2k!

sin(x) = x - x^3/3! + x^5/5! = (-1)^n*(x^(2n+1))/(2n+1)!

1/(1-x) = 1 + x + x^2 + x^3 = x^n

ln(x+1) = x - x^2/2 + x^3/3 -x^4/4 = (-1)^n+1 * x^n/n