remediation Flashcards
where should you plug in functions during FRQ’s?
y=
how do you find Y1, Y2, ect?
alpha, trace/f4
when should you go into polar mode?
when graphing polar graphs
limits show what?
what the y value is while approaching a x point
what is the mean value theorem?
f’(c) = f(b) - f(a) / b - a
AROC = IROC
What is the second fundamental theorem of calculus equation?
f(a) = f(b) + ∫ from a to b of f’(x) dx
What makes an integral improper?
When one of the bounds is infinity or if there is an asymptote in between the bounds.
What are the trig identities?
tanx = sinx / cosx
(sinx)^2 + (cosx)^2 = 1
(tanx)^2 = (secx)^2 - 1
What is the Lagrange error formula?
LR <= |f^(n + 1) (z) * (x - c)^(n + 1) / (n+1)!
What is the elementary series for e^x?
1 + x + x^2 /2 + x^3 /3! + … + x^n/n!
What is the elementary series for sinx?
x - x^3 /3! + x^5 /5! - … + (-1)^n*x^(2n+1) / (2n + 1)!
What is the elementary series for cosx?
1 - x^2 /2 + x^4 /4! - … + (-1)^n*x^2n / (2n)!
What is the arc length formula?
∫ √(1 + (f’(x))^2)dx
What is the arc length formula for parametrics and vectors?
∫ √(dx)^2 + (dy)^2 dt
What is the total distance formula?
The same as arc length
