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
What do you plot for cumalitiev freq
Top
26
Extrap
Estimate out range
27
Interpolation
Estimate inside range
27
What is explanatory variable
The one that causes the change
28
What does a singular matrix have
A determinant 0
29
(3+2i)(3-2i)
z^2-6z+13
30
What does tanhx differentiate to
sech squared x
31
What does coth x differentiate to
-cosech squared
32
Divergent
Tends to infinity
33
Odd powers integration
Identity
34
Even powers integration
Double angle
35
Homogeous
=0
36
Non homgeuosu
Not = 0
37
simple v forced
Simple = 0
38
Heavy damping
dIScriminant greater than 0
39
critical damping
Disrcminant = 0
40
Lght famping (oscillates )
Discrminant less than 0
41
clt better when
N is large
42
Assumptions ob binary
Prob constant, num trials fixed and independent
43
What is type 1 error
Actual significance level and is false pos
44
What is type 2 error words
Incorrectly accept h0 which is false ne g
45
type 2
P( NOT CRITICAL REGION) GIVEN H1 IS TRUE
46
CLOSE OR 5
IF IT SAYS AS CLOS TO 5 percetn as possible it can be just above not if it doesnt
47
Reducing sig level type 1
Increase tyype 2
48
Increase n to
Reduce type 2
49
size
type 1
50
Power
1- type 2
51
If somethign is normal to the plane does it lie on it
Yes
52
Inside surface of bowl
May not be smooth
53
Unit vector
Divide by modulis
54
Formula for r
0.5n(n+1)
55
how to show something is not perpen to plane
Is not scalar multiple of normal
56
Shortest distance between two parralel lines
Find AB in terms of t dot to direction vector of ome of them and set equal to 0
57
Shortest distance between two non parralel lines
Find AB and this will be normal to both lines
58
reflection of line in plane
Find intersection x1 reflect point in plane by using normal vector and doubling lamda you now have two poinyd
59
arg(z+4-3i) = 3n/4
y-3/x+4=tan3n/4
60
Conditions for poisson
Occur singly, ondependtly and at a constant rate
61
E(X) pgf
g"(1) single dash
62
var(x) pgf
g""(x) + g"(x) - (g"(x))2
63
g(1)=
1
64
y=3x+2
plug in t cubed and times by t squared
65
can rearrange var formula
yes
66
x1 + x2 pgf
Times them
67
gn(0)=
n!p(x=n)
68
What is Z
Integers
69
What is N
Natural numbers
70
What is Q
Rational numbers
71
What is R
Real numbers
72
Reasons to use histogram
The data is continuous and the class widths are unequal.
73
One advantage and disadvantage of using box plots
Easy to compare distributions but you dont know exact values
74
Real distinct roots
Aeax + Bebx
75
Real repeated roots
eax(A+bx)
76
Complex conjugate
Erealx(AcosimX+Bsinimx)
77
Is 0 a natural number
No
78
What is the other variable that is not the explnatory variable
Response variable
79
Another condition for point of inflection
First derivative same side on each side
80
Less than bigger
Greater than smaller for werid stats questions
81
If x is an integer what does that mean for 2x
that it is also an integer
82
Curve is not continuous in that interval or
X not defined at 5
83
What does being outside range mean
Hard to estimate
84
What shows an integral is improper
Unbounded interval as upper limit is infinity and a limit is required to calculate it
85
Why would poisson not be suitable for 1,2,3,4,5
P(x>5) would have substantial probability
86
In 2 way do you combine collumns or rows
Either whichever one has most dof
87
3x+2
Times variance by 9 (pgf plug in x cubed and times by x squared)
88
Why do you always take away 1 dof
As totals agree
89
Format for polar cooordinates
(r,theta)
90
What do you do if it tells you to write down an equation of motion
F=ma
91
What does a light string mean
Constant T
92
What does a inextensible string mean
Constatn A
93
What to mark on a normal gragph
Either mark 1sd each side (point of inflection) or 3 where most data lies between
94
H0 in 2 way
No association so if it exceeds critical value there is an association
95
GOF H0
Suitable model so if it exceeds then not suitable
96
What to not mention for poisson
Mean and variacn same
97
What does r show
Linear assoication between 2 variables
98