#help-38
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Si
Perfecto
Y q llega a ser sin/cos
Tg
Sip
Muchas gracias amigo por tu tiempo
Gracias a ti he logrado aprender este ejercicio
Llevaba mucho tiempo intentando resolverlo
De ninguna problema
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Anyone know what bibliography matrix means in this context?
Couldn't find much on Google.
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but instead its x^1/3 I guess?
That's the inverse of f(x)=x^3
Differentiate x^(1/3) and compare it to what they have
well yeah that parts easyt
I guess I don't know how to
get the inverse of a function
There's also a shortcut to find the derivative of an inverse function:
$$
\frac{d}{dx} f^{-1}(x) = \frac{1}{f'(f^{-1}(x))}
$$
chartbit
I don't know how to find the inverse
I thought it would be like x^-3
but neigh
well actually I can sorta see a cheesed way to do it
Go on...
if you have something manipulating x then write the reciprocal
so 5x-13 would just be x/5-13
x^1/3
and tan^-1(x)
Agree with the latter two
Not this tho
how do u find inverses quickly
Define "quickly"?
in a fast manner
I'd just say e.g. let x = 5y+13 and then rearrange for y, at the end
Whether that's "fast" for you, idk
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can someone please explain why this is incorrect
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ok
I wanted to know how to answer this tyler series question
I was given the heigh which was h(10) = 25
the speed v(10) = -3
and it's acceleration
a(10) = 1
a'(10) = 3/5
given these values
I was asked to find a function that can approximate the height at t = 11 seconds
how would I go about starting such a question ?
ohhhh you make it up yourself
yep
a cubic should be good
but I am unfamilliar with making taylor series from scrach
cubic ?
$h(t) = h_0 + v_0 t + a_0 t^2 + j_0 t^3$
riemann
we can do that ?
oh wait yes
notice you're given 4 pieces of information
i confused some stuff
and there are 4 unknowns here
i thought these were the integrals
๐
now I realise these are the derivatives
of h
anti-derivatives don't have as nice notation unfortunately
yeah i know, I just finished with integrals
i assume $v = h', a=v'$
riemann
my head is about to explode from them
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why'd the teacher start the scale off with pi over 6 ?
.close
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Hi
Is that a test?
@modest shadow
what have you tried so far
I've been just using the numbers 8-2 in all the ways
what is the question asking for
alright
so your function is x^2+8
and you want to evaluate when x=16
so plug 16 in the function
can you do that?
That's suspicious, because of the angle you took the photo at as well as the fact it states "calculator is allow". Most worksheets wouldn't say that
It's a study guide worksheet
Is that allowed?
That's fine. I'm just saying, the photo at that angle just makes it look very suspicious, like you're trying to sneak and cheat
it might be a test, this looks like a school laptop also
test or not it talks about being graded(ie. if you don't show work [..] you won't get points)
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Hi, these aren't my answers. i was wondering if someone could explain each step of this proof im confused about it. The second statement is DA โ DA, it kinda looks like an SA
@sterile stream da is a common side for both the triangles
how
i dont get that
its like on the side
woudn't it like be like DC
or CA
wait
let me re draw
Noo
Look
They are a common side
For both the triangles
Both trangles DAE and ABD have side AD common
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v
@dreamy harness Has your question been resolved?
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if I am calculating an angle that is related directly to a variable I already know, whilst knowing where the highest value and lowest value of that angle would be, what type of function would I have to use to calculate it?
no idea what you are asking
bacicaly have an angle that is mapped from another variable
and I dont know which type of function I should use to map the variable
@kindred pier
yes, but this is a much much smaller part in it
the origional equasion is finding a point in space from a mechanism with two lengths and axis than I know the angles and lengths of
can you share the original problem as you received it?
could I share you another example of what I am trying to figure out instead, since explaining the problem is harder than explaining what im trying to figure out currently
You don't just have the original problem you can send?
Also, sorry but gotta step out now. I'll be back in a few hours, so good luck to ya
sure
<@&286206848099549185>
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.reopen
โ
.close
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What does "exact solution" even mean here
No decimals
What's wrong with my answer
...
Why is it -81?
I had it as positive before but it was wrong
Nevermind I didn't have the x^2 when i had it was negative
Thanks
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4x - 6y = -24 in slope intercept form would be y=4x-6, which would indicate that the y-intercept is (0, -6) correct?
not quite
where am i goin wrong?
can we see how you got there?
Well mx+b where m is the constant rate of change of y when you increase x by 1. B would be the y-int, and -6y would mean that (0, -6) is the y-int?
ooooh i forgot to isolate y first off
ok, so if i subtract 4x from both sides, I can see where I'd get -6y = -24 - 4x
and then divide -24 - 4x by -6 to leave y by itself on the LHS
yes
you want to simplify that, and the term with no x is your solution yeah
it should be 4
can't do math
ok so id divide both values in the numerator by the denom, not the numerator in it's whole by the denom. 2/3x + 4 I can see how I'd end up with that
which indicates that the y-int is (0, 4), and the slope is 2/3
yes
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yo how do i get marchzins
Whats marchzins in english
accrued interest@vagrant marsh
Hmm
I cant remember the formula sorry
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@wraith hinge Has your question been resolved?
@lost otter Has your question been resolved?
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the discriminant tells you how many roots a quadratic has
if it's positive, then there are two real roots,
if it's 0, then there's one real root,
if it's negative then there are two complex roots.
looks right, yeah
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the square of (2 root 13) is 52
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Am I approaching this right?
Because my lecturer said we are never supposed to get decimals on any of the questions he uploads but I feel like I will end up with unexact values at this rate
@dry canopy Has your question been resolved?
<@&286206848099549185>
<@&286206848099549185>
<@&286206848099549185>
@dry canopy Has your question been resolved?
<@&286206848099549185>
@dry canopy Has your question been resolved?
Hi
I don't see the need for you to 'solve those equations'. Just continue your matrices until you get 1s and 0s.
You can solve it by matrix inverse
@dry canopy Has your question been resolved?
@dry canopy Has your question been resolved?
@dry canopy
Your question isn't very clear. It seems to me like you know what to do, and just haven't done it yet
You are about to solve simultaneously. I suggest instead doing a row reduction, but that's really the same thing
,w eigenvalues of {{1,2},{2,-1}}
So far so good
But I don't know how to do so without decimals
Usually we are expected to do a method that gives us exact values
If I go ahead with how I'm thinking I will not get an exact value
sqrt(5) is an exact value
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A test has 13 multiple choice questions; each multiple choice question has four responses, A, B, C, and D. There are 4 A's, 1 B's, 1 C, and the rest are D's. How many different ways can these questions be arranged to create a different answer key?
not sure how to work through this one
how would i find how many different ways they can all be arranged
Do you know how to group and arrange
yea but im not sure for this one because all the letters can be in different spots
they dont have to be together
For example if you're arranging 6 identical books on math and 5 identical books on science in a shelf, the total number of ways would be $\frac{11!}{6!5!}$
NEONPerseus
ohh so just 13!/4! * 1! * 1! * 7 !
Yes that should be it
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Hello I need help
what do you think the constant term represents
what is a constant term
ohhhh
well
26 is the constant term ig?
what about the second qs
"How long is the diver in the air?"
What's the driver's height when they stop being in the air?
Would be 0, right?
Since when they are not in the air anymore, they are on the ground and so have a height of 0
Yes
i got two answers
What are they?
t = 1, 13/8
Would it make sense for them to hit the ground again after they already hit it?
nope
So you can safely eliminate the second answer
Also I'm just assuming you factored correctly ๐
@wraith hinge Has your question been resolved?
does it make sense for them to hit the ground at both 1 second and 13/8 seconds?
just think about it for two seconds. If it hits the ground at 1 second, it will stop, and it will not hit the ground at 13/8 seconds
this should be t = -1 , 13/8
in which case it doesn't make sense to have a negative time , so 13/8 is your only valid answer
oh
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Does anyone know how to solve part bii)? (Leslie Matrix question).
Do I just do xk = L^k * x0
where x(subscript k) is the population vector after k years, and x0 is the initial population vector
so x0 = [54, 6, 1]
Is there a way to solve this question without doing trial and error, i.e. doing several multiples of L and x0, then summing all of the components of the resultant vector until I get a sum greater than 10,000 (I feel like this will take forever)
@hasty yew Has your question been resolved?
Not certain what a leslie matrix is. Does multiplying by it advance population by a year?
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Note that x0 is an eigenvector of L. What does that mean for you? Can that help here?
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Sorry, confused it for mean value theorem
Okay, so by ivt, there exists some f'(c) = -2
It wants you to find it, which is easy to do algebraically
3cยฒ + 14c + 6 = -2
Yes. Note that by ivt, there exists a c somewhere in [-6, -3]. You want that value
No since ivt doesn't take the derivative of said function.
f' being the derivative of some other function doesn't matter to ivt at all, really. Could have called it g(x)
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y-int is when x = 0
i think the change of base of lig formula is incorrect
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similar triangles
how do I find x
have you made any progress thus far or are you stuck not knowing how to start?
there is a clever way to do this.
iirc there's a theorem about that that includes geometric mean
6/10-y = 10/6
what's y?
okay...
can I not do that?
its like the lower part of the hypotenuse ig
the clever way i had in mind is to express the area of your triangle (the big triangle) in 2 different ways.
try to find two different similar triangles
what's be easier
i just said it
so like this?

i mean ok like
if youre gonna go the similar triangles route
then AT LEAST label the diagram
no no
tell me how you do it
I want to learn the easier way if possible
so I can use it in the future
.
i mean, i already did
Area of the big triangle is
1/2ร6ร8=24
So x is the altitude or the height then
10x=24 {cause 1/2รbh is the formula for area of the โ} {also 10 is the base here x is the height}
but you chose not to ask me to elaborate
mb
hmm
So this is the easiest way
but these side lengths don;t seem to be half in length
the y side
the base
also you do realize that there's a reason why i gave names to all points in the problem??
why do you disrespect the diagram by not using the names written on it?
bruh
okay I'll use them
so the 1/2 comes from where
is it to represent half of 10?
the half-base-times-height formula for the area of a triangle.
Area of right angled triangle is
1/2รbase ร height
no it's not to represent half of ten.
ok
are you familiar with this formula
oh ok
My bad
arnab, there exist many formulas for the area of a triangle.
yes Its been a while since my school began, we're doing a review so I'm beginning to remember
You can take out the following triangle by 3 known methods
- by area ( easiest )
- Similar triangles ( not too easy )
- inverse Trigonometry ( fuking hard )@midnight wind
jeez
So you have to use the formula of area of right angled triangle for find x@midnight wind
ok
I already explained that
And your triangle is right angled so there will be no problem
so if I were to do this then
Same method
52x = 480
Yeah
,w 480/52
Yea
ok ty
Welcome
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hi
Hi
i tried to solve integral of sin(x)/x from -infinity to infinity but i got 2ฯ instead ฯ
i can't find the mistake
@charred marsh Has your question been resolved?
Your integral doesn't even converge
Don't know how you even got a finite number
Use e^(-tx) instead

Oh you're assuming t<0?

If you didn't this, you don't need the whole Laplace transform thing
fun times with the sine integral lmao
im not sure if i can see this correctly, but cant u represent this using a gamma function?
okay well
an incomplete one
Don't think you need gamma function either
The whole proof OP is trying to do is in Rudin

Lots of gaps in your work, like limits, and simplification of the Laplace transform. Don't recommend using that at all
Don't you have cooler emojis from other servers
i do but 

A cute thonk

@charred marsh Has your question been resolved?
no i'm assuming t=0
which limits
why no Laplace transform
i mean it's way easier than to do it with integration by parts of something
No integration by parts is necessary
When you introduce the integral for dt
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why is it closed :(
i'm assuming t=0
bro can't handle rejection
there must be an open interval on which I(t) is defined
e^(-tu) would work tho right
u?
i mean x

was looking at another integral with u, sorry
if you assuming t > 0, and using e^(-xt), from scratch I thought maybe problem comes from double integral
Wait no
maybe it will work
ahh it works
negative sign made it arccot instead of arctan
and since arccot(0) = ฯ/2
2I(0) = ฯ
why arccot,
In your last step, $\int_0^{\inf}\frac{1}{1+t^2}dt$ should be $\arctan \inf - \arctan 0 = \pi/2$
่ฏทๅกๅฟ ๅไผๆฏไธๅคฉ
by the way, in your first line in draft, arctan0 should be 0
-1/(1+t^2)
the integral with respect to t isn't from 0 to infinity
@charred marsh Has your question been resolved?
Okey, then last line might be -arctant + C, and use limitation to solve C?
If Indefinite Integration as your way
assuming t > 0, and I(t) = e^(-xt)
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can someone explain to me how my teacher got the angles
like 130
like from the bearing
how do we know itโs a 90 and then itโs another 20 at that point
like why should we apply that ๐ญ
Bearing is the angle from N going clockwise
So 200 degree bearing, start from N, go 200 degree clockwise
this
like how do ik when to apply that
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<@&286206848099549185>
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using the derivative of (x+y)^n and a particular choice of y, show that:
Please don't occupy multiple help channels.
im not
you quite literally are my friend
i can not see my channels
something is wrong or idk
here is where i arrived
who can help me please?
tell me what to do next
.
what are you doing @wise jay
what do ur eyes see
Yes and what else
the general one?
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Hello, kinda stuck on this. I only have 1 more attempt and my teacher didn't really teach how to do this, she just gave out a video explaining how to make a box plot on "Desmos."
@grim spear Has your question been resolved?
Okay do you know how to make a list?
completely clueless
<@&268886789983436800> spamming the same message on multiple help channels
Alright
Let's explore making lists later
But for now
Do you know how to get the mean and median?
very little, this is the first assignment on this topic
Hmm
one of the first*
Okay do you know what's a mean?
Do you know how to get it?
But what would you do to find the mean of let's say the Spudnik list?
dividing the sum of values?
Dividing the sum of values by what?
just watched a short help video I found, I would divide the sum by the number of values in the data set
So would I take Spudniks values, add them up to 1965 then divide by 8?
Alright, how would I get the median?
You would arrange your data from least to greatest
And see which value is in the middle
If you have 2 values in the middle, you find their mean
240.5 and 243.5?
240.5 is for which and 243.5 is for which?
240.5 for spud 243 for tater
Okay
Yep
240.5 is for spudnik and 243.5 is for tater
Those are the medians
Now do you know how to get the standard deviation?
yes I think I understand that quite well but not so much Interquartile Range
Okay interquartile range requires you to get the 1st quartile and the 3rd quartile values
How to do that? Those need you to divide your data into 2 halves (after arranging them). Then you'd find the median for each half.
31.0 for spud? still working on tater
and I believe 24.3 for tater
for the standard deviation I got 23.1 for spud and 12.9 for tater
How did you find it?
@grim spear Has your question been resolved?
I first took the 8 values and put them least to greatest. I then split the data in between the 239 and 242. I found the Q1 (lower quartile) which is 227 and Q3 (upper quartile) 258 I then subtracted 258-227 and got 31
31 rounded to the nearest tenth 31.0
sorry for the wait I had to take my dog out
222 225 233 239 242 243 263 298
0.5(225+233) = 229 and 0.5(243+263) = 253
253-229 = 24
it's not 24.3 for tater?
225 229 234 241 246 253 255 265
0.5(229+234) = 231.5 and 0.5(253+255) = 254
254-231.5=22.5
is that for tater? I'm confused
This is for spudnik
This is for later tater
Yeah
Iwas looking at Question 2 and this is what I came up with
The distribution of the distances for Later Tater is symmetric because the mean and median values are equal.
The mean and standard deviation are better measures of center and variability for the Later Tater distances.
The distribution of the distances for Spudnik is skewed left because of the outlier.
The distances for Spudnik are more variable than those for Later Tater.
Scared to submit because this is my last try can you confirm?
Hmm
These sentences seem good
8/9 thank you better than my previous 4 haha
Wow what went wrong?
One of the statements were incorrect
Ooo
The mean and standard deviation are better measures of center and variability for the Later Tater distances.
Oo
No biggie though I'm happy with it thanks!!!
Hope you ace the assignments next time :)
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.close
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Is this true?
@feral canopy Has your question been resolved?
@feral canopy Has your question been resolved?
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pretty self explanatory from there
What class are you in?
@last ore Has your question been resolved?
If Iโm being honest with you, I only know how to solve the first problem with calculus lol I do not remember how to go about it in terms of algebra 2
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a(x+4)^2+2 with vertex (-4,2) which y intercept = 16
You're trying to find a?
replace a with a number
to make the y intercept of the equation = 16
Okay so you have y=a(x+4)^2+2
(the y is important)
what does it mean if the y intercept is 16?
isnt y intercept when x=0
yes
so a(4)^2+2=16?
Yeah, exactly
Okay, that's a very similar question
is it making x intercept 0
Yes
this is right, but you need to plug in 0 for x as well
-1/8?
yep ๐
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how do i integrate this

Hmm, that doesn't seem quite right
You can't break up a fraction over its denominator like that
That works as well
for example 1/2 + 1/2 is not 1/4
Have you covered u-sub?
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,rotate
oh my bad
This looks a bit messy without proper labelling
Make the cartesian plane a bit wide as in, increase the width between successive marks
It's definitely not to the scale but pretty good for hand-drawn graph
Here is desmos for comparison
The only issue I can think of is the steep decline of e^x but it's gonna be hard to draw by hand
Yeah, the open circle at (0, -1) isn't visible cause you need to click on the graph to see it
Don't worry, it is still there
ahh i see ty for the help! i rlly appreciate it
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for graphing a cube root function, how do i know when the graph shifts directions
wdym by shifts direction
you could consider the transformation of the parent cbrt function
heres the equation
not sure what a parent cbrt function is tho
im in algebra 2 rn
nvr mind ig its (h, k)
ty tho
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A retailer marks his goods at 25% above the cost price. He sells three-fourth of the goods at the marked price and the remaining at 40% discount on the marked price. What will be his total gain/loss percent?
Let the cost price of the goods be x.
Then, marked price is 5x/4
The selling price of (3/4)th of goods is 5x/4 and (1/4)th of goods is 3x/4
Profit on (3/4)th of goods will be 25%
Loss on (1/4)th of goods will 25%
How do I go about finding total gain/loss from here?
@hazy light Has your question been resolved?
firstly whats 40% of 1.25 x
Why 40% percent?
40% is the discount.
Yeah
so itโll be?
0.5x
ok nice
so he sells 3/4th of total goods at 1.25x price
and
1/4 of goods at 0.5x price
No.
but he bought all of his goods for x price
The selling price of (1/4)th of the goods will be 60% of the marked price
40% is the discount.
@dense cave
Now you have no credibility

<@&286206848099549185>
Is the answer around 13 percent gain?
I see
Ok i got it i think
Is total goods=4 assumption allowed?
I know how to get answers by assuming the total number of goods.
Then?

๐ im making sure
One good seems commendable
As in you mean each good costs x right?
Yeah
I think you would still need to do something like let total goods be n
I have done similar kinds of problems by this way
But, I can't figure where I'm going wrong here.
,w ((755-253)/4-100))*100)
@hazy light Has your question been resolved?
@hazy light Has your question been resolved?
@hazy light Has your question been resolved?
@hazy light Has your question been resolved?
@hazy light let Cost Price = 4x
Marked price = 125%(C.P) = 5x
3/4 of goods at M.P = $$3/4*5x = 15x/4$$
Cubopia
Discounted price = 60% of M.P
60% of 5x = 3x
1/4 of goods at D.P = $$1/4*3x = 3x/4$$
Cubopia
Total sales = $$15x/4 + 3x/4 = 4.5x$$
Cubopia
%gain = Profit/C.P * 100 = 0.5x/4x * 100 = 12.5%
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I did 3(2h+5) > 4(4h+2)
im cooked
the brackets are wrong
should be 4(2h+5) < 3(4h+2)
Why? A square has four sides and a triangle three
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IM JOKING
.reopen
โ
@grizzled mango GET THIS MF
i realised my mistake
I got a >4.5
would the smallest possible integer value be 4?
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i have no clue on how to do this
sin/cos
oh it says at the bottom
i would try to find an explanation of what the sine and cosine function mean graphically
on a circle
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Hey! need help in trying to find the point that is equidistant from A and B and lies on the X axis
never consult chatgpt for math
will remember for future 
can you help with the question though?
I found chatgpt super helpful for standard deviation but ig not everything is good
since the point lies on the x-axis, you already know one of the coordinates
yup
then apply distance formula to determine the other
Distance formula is
chatgpt and in fact any neural models are bad at inference so, they don't really know what they are doing
ah ic ic
wont use them in the future ig
inference isn't the correct word
No but I understand what you mean
and considering that 2 people are saying so I think it makes sense
I meant causal inference, as in they can't understand cause and effect
anyways gimme a second? i want to try what Ramonov suggested
Since value of x will always be 0
no
yes
wait im confused
what are the second values of x?
wdym




