Maths definitions Flashcards

1
Q

Define extrapolation

A

Making predictions outside the original data
range.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Explain the dangers of extrapolation.

A

It is unreliable as the trend may not continue.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Define geometric sequence

A

Multiplies or divides between terms

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

How to tell wether a sequence converges or not

A

If r < 1 it converges
If r > 1 it does not converge

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Define domain of a function

A

all of the values that x can take

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Define range of a function

A

all of the values that y can take in a function of x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Sin2A =

A

2sinAcosA

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Cos2A =

A

cos^2A-sin^2A
2cos^2A-1
1-2sin^2A

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

tan2A =

A

2tanA/1-tan^2A

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

asinx +_ bcosx

A

Rsin(x+_alpha)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

acosx +_ bsinx

A

Rcos(_+alpha)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Rcos(alpha) =

A

a

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Rsin(alpha) =

A

b

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

R =

A

root(a^2 + b^2)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

sin^2 + cos^2 =

A

1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

1 + cot^2

A

cosec^2

17
Q

tan^2 + 1

A

sec^2

18
Q

differential sinkx

A

kcoskx

19
Q

differential coskx

A

-ksinkx

20
Q

differential e^kx

A

ke^kx

21
Q

differential ln(x)

A

1/x

22
Q

differential a^kx

A

a^kx kln(a)

23
Q

chain rule eq

A

dy/dx = dy/du x du/dx

24
Q

Product rule eq

A

dy/dx = u(dy/dx) + v(du/dx)

25
Q

quotient rule eq (when y=u/v)

A

dy/dx = (v(du/dx)-u(dv/dx))/v^2

26
Q

parametric differentiation eq (parameter t)

A

dy/dx = (dy/dt)/(dx/dt)

27
Q

integration x^n

A

x^(n+1)/n+1

28
Q

integration 1/x

A

ln(lxl)

29
Q

integration cos x

A

sin x

30
Q

integration sin x

A

-cos x

31
Q

integration cosec(x) cot(x)

A

-cosec(x)

32
Q

integration cosec^2(x)

A

-cot x

33
Q

integration sec x tan x

A

sec x