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Maths/Further maths > Extra > Flashcards

Extra Flashcards

1
Q

What is plus minus sd

A

Point of inflection

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2
Q

theta to the what or more ignore

A

3

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3
Q

When is reaction perpendicular

A

When it is smooth

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4
Q

Relationship between friction and mew

A

Fr<=uN

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5
Q

What is work done

A

Ke plus gpe gained

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6
Q

Moving in fector i + j can b

A

2i + 2j

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7
Q

What else can affect ball

A

Wind

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8
Q

Integrarte between what for mechanic

A

Where it came to rest

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9
Q

What does it not being modelled as a particle mean

A

Air resistance

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10
Q

Can take moments about something if it is not a pivot

A

yes

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11
Q

Tnesion always acts

A

Both ways from eeach side

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12
Q

Do you divide or times by integrating factor

A

Times

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13
Q

Why cant start be stationary point for newton raphson

A

Tangnent will never reach x axis and cant divide by 0

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14
Q

Curve then line or line then curve

A

Curve then line

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15
Q

mod x less than 1, what is best aprox

A

Closest to 0

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16
Q

Easiest way to translat e

A

Plug values in

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17
Q

How to prove something is a mutiple of three

A

+1 and -1

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18
Q

What does perpend from centre to cord do

A

Bisects the chord

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19
Q

How do you prove spmethin is parralel

A

Scalar multiple of one another

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20
Q

What should area under curve add up to for contunuous

A

1

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21
Q

Conditionms for normal

A

Has to be contunious

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22
Q

Mean mode median normal

A

Same

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23
Q

Conditions for normal aprox of binomial

A

Large n p close to 0.5

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24
Q

Normal and tie

A

Cannpt ahve negative time

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25
Q

What do you plot for cumalitiev freq

A

Top

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26
Q

Extrap

A

Estimate out range

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27
Q

Interpolation

A

Estimate inside range

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27
Q

What is explanatory variable

A

The one that causes the change

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28
Q

What does a singular matrix have

A

A determinant 0

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29
Q

(3+2i)(3-2i)

A

z^2-6z+13

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30
Q

What does tanhx differentiate to

A

sech squared x

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31
Q

What does coth x differentiate to

A

-cosech squared

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32
Q

Divergent

A

Tends to infinity

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33
Q

Odd powers integration

A

Identity

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34
Q

Even powers integration

A

Double angle

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35
Q

Homogeous

A

=0

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36
Q

Non homgeuosu

A

Not = 0

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37
Q

simple v forced

A

Simple = 0

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38
Q

Heavy damping

A

dIScriminant greater than 0

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39
Q

critical damping

A

Disrcminant = 0

40
Q

Lght famping (oscillates )

A

Discrminant less than 0

41
Q

clt better when

A

N is large

42
Q

Assumptions ob binary

A

Prob constant, num trials fixed and independent

43
Q

What is type 1 error

A

Actual significance level and is false pos

44
Q

What is type 2 error words

A

Incorrectly accept h0 which is false ne g

45
Q

type 2

A

P( NOT CRITICAL REGION) GIVEN H1 IS TRUE

46
Q

CLOSE OR 5

A

IF IT SAYS AS CLOS TO 5 percetn as possible it can be just above not if it doesnt

47
Q

Reducing sig level type 1

A

Increase tyype 2

48
Q

Increase n to

A

Reduce type 2

49
Q

size

A

type 1

50
Q

Power

A

1- type 2

51
Q

If somethign is normal to the plane does it lie on it

A

Yes

52
Q

Inside surface of bowl

A

May not be smooth

53
Q

Unit vector

A

Divide by modulis

54
Q

Formula for r

A

0.5n(n+1)

55
Q

how to show something is not perpen to plane

A

Is not scalar multiple of normal

56
Q

Shortest distance between two parralel lines

A

Find AB in terms of t dot to direction vector of ome of them and set equal to 0

57
Q

Shortest distance between two non parralel lines

A

Find AB and this will be normal to both lines

58
Q

reflection of line in plane

A

Find intersection x1 reflect point in plane by using normal vector and doubling lamda you now have two poinyd

59
Q

arg(z+4-3i) = 3n/4

A

y-3/x+4=tan3n/4

60
Q

Conditions for poisson

A

Occur singly, ondependtly and at a constant rate

61
Q

E(X) pgf

A

g”(1) single dash

62
Q

var(x) pgf

A

g”“(x) + g”(x) - (g”(x))2

63
Q

g(1)=

A

1

64
Q

y=3x+2

A

plug in t cubed and times by t squared

65
Q

can rearrange var formula

A

yes

66
Q

x1 + x2 pgf

A

Times them

67
Q

gn(0)=

A

n!p(x=n)

68
Q

What is Z

A

Integers

69
Q

What is N

A

Natural numbers

70
Q

What is Q

A

Rational numbers

71
Q

What is R

A

Real numbers

72
Q

Reasons to use histogram

A

The data is continuous and the class widths are unequal.

73
Q

One advantage and disadvantage of using box plots

A

Easy to compare distributions but you dont know exact values

74
Q

Real distinct roots

A

Aeax + Bebx

75
Q

Real repeated roots

A

eax(A+bx)

76
Q

Complex conjugate

A

Erealx(AcosimX+Bsinimx)

77
Q

Is 0 a natural number

A

No

78
Q

What is the other variable that is not the explnatory variable

A

Response variable

79
Q

Another condition for point of inflection

A

First derivative same side on each side

80
Q

Less than bigger

A

Greater than smaller for werid stats questions

81
Q

If x is an integer what does that mean for 2x

A

that it is also an integer

82
Q

Curve is not continuous in that interval or

A

X not defined at 5

83
Q

What does being outside range mean

A

Hard to estimate

84
Q

What shows an integral is improper

A

Unbounded interval as upper limit is infinity and a limit is required to calculate it

85
Q

Why would poisson not be suitable for 1,2,3,4,5

A

P(x>5) would have substantial probability

86
Q

In 2 way do you combine collumns or rows

A

Either whichever one has most dof

87
Q

3x+2

A

Times variance by 9 (pgf plug in x cubed and times by x squared)

88
Q

Why do you always take away 1 dof

A

As totals agree

89
Q

Format for polar cooordinates

A

(r,theta)

90
Q

What do you do if it tells you to write down an equation of motion

A

F=ma

91
Q

What does a light string mean

A

Constant T

92
Q

What does a inextensible string mean

A

Constatn A

93
Q

What to mark on a normal gragph

A

Either mark 1sd each side (point of inflection) or 3 where most data lies between

94
Q

H0 in 2 way

A

No association so if it exceeds critical value there is an association

95
Q

GOF H0

A

Suitable model so if it exceeds then not suitable

96
Q

What to not mention for poisson

A

Mean and variacn same

97
Q

What does r show

A

Linear assoication between 2 variables

98
Q
A

Maths/Further maths (11 decks)

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