Extra Flashcards
What is plus minus sd
Point of inflection
theta to the what or more ignore
3
When is reaction perpendicular
When it is smooth
Relationship between friction and mew
Fr<=uN
What is work done
Ke plus gpe gained
Moving in fector i + j can b
2i + 2j
What else can affect ball
Wind
Integrarte between what for mechanic
Where it came to rest
What does it not being modelled as a particle mean
Air resistance
Can take moments about something if it is not a pivot
yes
Tnesion always acts
Both ways from eeach side
Do you divide or times by integrating factor
Times
Why cant start be stationary point for newton raphson
Tangnent will never reach x axis and cant divide by 0
Curve then line or line then curve
Curve then line
mod x less than 1, what is best aprox
Closest to 0
Easiest way to translat e
Plug values in
How to prove something is a mutiple of three
+1 and -1
What does perpend from centre to cord do
Bisects the chord
How do you prove spmethin is parralel
Scalar multiple of one another
What should area under curve add up to for contunuous
1
Conditionms for normal
Has to be contunious
Mean mode median normal
Same
Conditions for normal aprox of binomial
Large n p close to 0.5
Normal and tie
Cannpt ahve negative time
What do you plot for cumalitiev freq
Top
Extrap
Estimate out range
Interpolation
Estimate inside range
What is explanatory variable
The one that causes the change
What does a singular matrix have
A determinant 0
(3+2i)(3-2i)
z^2-6z+13
What does tanhx differentiate to
sech squared x
What does coth x differentiate to
-cosech squared
Divergent
Tends to infinity
Odd powers integration
Identity
Even powers integration
Double angle
Homogeous
=0
Non homgeuosu
Not = 0
simple v forced
Simple = 0
Heavy damping
dIScriminant greater than 0
critical damping
Disrcminant = 0
Lght famping (oscillates )
Discrminant less than 0
clt better when
N is large
Assumptions ob binary
Prob constant, num trials fixed and independent
What is type 1 error
Actual significance level and is false pos
What is type 2 error words
Incorrectly accept h0 which is false ne g
type 2
P( NOT CRITICAL REGION) GIVEN H1 IS TRUE
CLOSE OR 5
IF IT SAYS AS CLOS TO 5 percetn as possible it can be just above not if it doesnt
Reducing sig level type 1
Increase tyype 2
Increase n to
Reduce type 2
size
type 1
Power
1- type 2
If somethign is normal to the plane does it lie on it
Yes
Inside surface of bowl
May not be smooth
Unit vector
Divide by modulis
Formula for r
0.5n(n+1)
how to show something is not perpen to plane
Is not scalar multiple of normal
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
Shortest distance between two non parralel lines
Find AB and this will be normal to both lines
reflection of line in plane
Find intersection x1 reflect point in plane by using normal vector and doubling lamda you now have two poinyd
arg(z+4-3i) = 3n/4
y-3/x+4=tan3n/4
Conditions for poisson
Occur singly, ondependtly and at a constant rate
E(X) pgf
g”(1) single dash
var(x) pgf
g”“(x) + g”(x) - (g”(x))2
g(1)=
1
y=3x+2
plug in t cubed and times by t squared
can rearrange var formula
yes
x1 + x2 pgf
Times them
gn(0)=
n!p(x=n)
What is Z
Integers
What is N
Natural numbers
What is Q
Rational numbers
What is R
Real numbers
Reasons to use histogram
The data is continuous and the class widths are unequal.
One advantage and disadvantage of using box plots
Easy to compare distributions but you dont know exact values
Real distinct roots
Aeax + Bebx
Real repeated roots
eax(A+bx)
Complex conjugate
Erealx(AcosimX+Bsinimx)
Is 0 a natural number
No
What is the other variable that is not the explnatory variable
Response variable
Another condition for point of inflection
First derivative same side on each side
Less than bigger
Greater than smaller for werid stats questions
If x is an integer what does that mean for 2x
that it is also an integer
Curve is not continuous in that interval or
X not defined at 5
What does being outside range mean
Hard to estimate
What shows an integral is improper
Unbounded interval as upper limit is infinity and a limit is required to calculate it
Why would poisson not be suitable for 1,2,3,4,5
P(x>5) would have substantial probability
In 2 way do you combine collumns or rows
Either whichever one has most dof
3x+2
Times variance by 9 (pgf plug in x cubed and times by x squared)
Why do you always take away 1 dof
As totals agree
Format for polar cooordinates
(r,theta)
What do you do if it tells you to write down an equation of motion
F=ma
What does a light string mean
Constant T
What does a inextensible string mean
Constatn A
What to mark on a normal gragph
Either mark 1sd each side (point of inflection) or 3 where most data lies between
H0 in 2 way
No association so if it exceeds critical value there is an association
GOF H0
Suitable model so if it exceeds then not suitable
What to not mention for poisson
Mean and variacn same
What does r show
Linear assoication between 2 variables
