Maths definitions Flashcards by Luke Wilson

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

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

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

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

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

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

Q

Sin2A =

A

2sinAcosA

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

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

Q

tan2A =

A

2tanA/1-tan^2A

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

asinx +_ bcosx

A

Rsin(x+_alpha)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

acosx +_ bsinx

A

Rcos(_+alpha)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Rcos(alpha) =

A

a

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Rsin(alpha) =

A

b

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

R =

A

root(a^2 + b^2)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

sin^2 + cos^2 =

A

1

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

1 + cot^2

Study These Flashcards

A

cosec^2

Q

tan^2 + 1

Study These Flashcards

A

sec^2

Q

differential sinkx

Study These Flashcards

A

kcoskx

Q

differential coskx

Study These Flashcards

A

-ksinkx

Q

differential e^kx

Study These Flashcards

A

ke^kx

Q

differential ln(x)

Study These Flashcards

A

1/x

Q

differential a^kx

Study These Flashcards

A

a^kx kln(a)

Q

chain rule eq

Study These Flashcards

A

dy/dx = dy/du x du/dx

Q

Product rule eq

Study These Flashcards

A

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