Maths definitions Flashcards
Define extrapolation
Making predictions outside the original data
range.
Explain the dangers of extrapolation.
It is unreliable as the trend may not continue.
Define geometric sequence
Multiplies or divides between terms
How to tell wether a sequence converges or not
If r < 1 it converges
If r > 1 it does not converge
Define domain of a function
all of the values that x can take
Define range of a function
all of the values that y can take in a function of x
Sin2A =
2sinAcosA
Cos2A =
cos^2A-sin^2A
2cos^2A-1
1-2sin^2A
tan2A =
2tanA/1-tan^2A
asinx +_ bcosx
Rsin(x+_alpha)
acosx +_ bsinx
Rcos(_+alpha)
Rcos(alpha) =
a
Rsin(alpha) =
b
R =
root(a^2 + b^2)
sin^2 + cos^2 =
1
1 + cot^2
cosec^2
tan^2 + 1
sec^2
differential sinkx
kcoskx
differential coskx
-ksinkx
differential e^kx
ke^kx
differential ln(x)
1/x
differential a^kx
a^kx kln(a)
chain rule eq
dy/dx = dy/du x du/dx
Product rule eq
dy/dx = u(dy/dx) + v(du/dx)
quotient rule eq (when y=u/v)
dy/dx = (v(du/dx)-u(dv/dx))/v^2
parametric differentiation eq (parameter t)
dy/dx = (dy/dt)/(dx/dt)
integration x^n
x^(n+1)/n+1
integration 1/x
ln(lxl)
integration cos x
sin x
integration sin x
-cos x
integration cosec(x) cot(x)
-cosec(x)
integration cosec^2(x)
-cot x
integration sec x tan x
sec x
