Why half?
#help-38
maiden hare
maiden hare
Right
maiden hare
So now, one more cut
hard crane
it becomes 3S_z
maiden hare
Then do the same for the other directions (S_x, S_y)
And of course S = S_x + S_y + S_z
maiden hare
Yes
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alpine mortar
help
alpine mortar
What is the probability of a pigeon making a noise which deflects it's poo at an angle of 45 degrees to the back right while making sure the bird flies above me(Conditional probability sum)
I move at 90km/hr
North direction
warm nymph
Close the channel
alpine mortar
Why
knotty oriole
This is not a serious question.
radiant quartz
youve jsut been spamming this nonsense quiestion so may times. what the heck does this mean
alpine mortar
youve jsut been spamming this nonsense quiestion so may times. what the heck doe...
THIS ISN'T NONSENSE
IT'S THE SUM AT MY EXAM
knotty oriole
What is the probability of a pigeon making a noise which deflects it's poo at an...
Don't spam
alpine mortar
PLUS IM NOT SPAMMING
knotty oriole
Don't troll
alpine mortar
Don't spam
I CREATED A CHANNEL AND ASKED A QUESTION
radiant quartz
making a noise which deflects its poo
this is certified nonsense
faint field
i'm sorry are you 11?
alpine mortar
>making a noise which deflects its poo
this is certified nonsense
NO THIS IS EXAM
knotty oriole
I CREATED A CHANNEL AND ASKED A QUESTION
Last chance to stop :^)
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radiant quartz
if its so real u need to chill the hell out
warm nymph
You have too much free time
alpine mortar
IM NOT HAVING THESE IDIOTS CALLING MY EXAM FAKE
alpine mortar
You have too much free time
BOO GO CRY WITH UR IMAGINARY FRIEND
knotty oriole
BOO GO CRY WITH UR IMAGINARY FRIEND
Muting you for the week. Please review #rules before you come back.
paper willow
Why are they bullying him
knotty oriole
@paper willow it's definitely not
paper willow
For a doubt
paper willow
<@1282207540301664346> it's definitely not
I saw the question paper
knotty oriole
You should also stop.
paper willow
Technically why should they bully him for asking a doubt
You know what
I'm asking it
knotty oriole
Nobody is bullying anybody.
knotty oriole
I'm asking it
Okay, last chance to stop trolling in the help channels. :^)
paper willow
They reacted with laughing emoji and said "you have too much free time"
paper willow
Okay, last chance to stop trolling in the help channels. :^)
I'M NOT TROLLING
IT'S AN ACTUAL QUESTION
paper willow
Okay, last chance to stop trolling in the help channels. :^)
WHY CAN'T YOU UNDERSTAND IT
knotty oriole
Even if it's not, asking for help on exam questions is against the rules.
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wraith hinge
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wraith hinge
how does he get that?
limpid belfry
moving ax to the other side and simplifying
wind cloak
wouldnt it be 5x-ax = 0
fr
still rose
x(5-a)
prime crystal
= 0
still rose
yep
prime crystal
u dont get 1/5-a
still rose
yes
limpid belfry
oh mb
limpid belfry
oh
wraith hinge
doesnt change anything ig
if its w s or 5
i think its because of f(0)
magbe
.close
celest umbra
I don't know how I should approach this question, It starts by talking about number of potatoes (10) and then it switches to talking about bout whole bag of potatoes (1 bag and 100 bags).
trim joltBOT
I don't know how I should approach this question, It starts by talking about num...
@celest umbra Has your question been resolved?
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@celest umbra Has your question been resolved?
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@celest umbra Has your question been resolved?
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@celest umbra Has your question been resolved?
lime sphinx
I don't know how I should approach this question, It starts by talking about num...
the formula you propose for sigma is in fact for sigma square the variance, but i don’t think it’s useful (you would need E(X^2)). To get the variance of the normal representing individual potato weights, i think you need https://en.wikipedia.org/wiki/68–95–99.7_rule.
celest umbra
the formula you propose for sigma is in fact for sigma square the variance, but ...
soo the variance is then 10 i think. now what? are we considering the potatoes or bags as a sample set? because if we are talking about potatoes then we should use the T-table, and if we are talking about bags then we should use the z-table
celest umbra
<@&286206848099549185>
tight sphinx
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marsh forum
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marsh forum
so I first got $\delta. = 2 \varepsilon$
solid kilnBOT
Veni, vidi, perii
marsh forum
so Then $|x-2|< 2 \varepsilon$
solid kilnBOT
Veni, vidi, perii
thorn void
So you want to show that |1/x - 1/2| < epsilon right?
marsh forum
Yea
thorn void
So my first hint would be to combine the fraction
thorn void
So you want to show that |1/x - 1/2| < epsilon right?
This fraction
marsh forum
$\frac{|x-2|}{2|x|}< \varepsilon$
cosmic meadow
solid kilnBOT
Veni, vidi, perii
vernal mica
I would rewrite this as $\frac{|2 - x|}{2|x|}$ , but you do you.
solid kilnBOT
Bishop
marsh forum
My issue isn't here
thorn void
You have one way to simplify this immediately
marsh forum
I have found $\delta in terms of epsilon$
solid kilnBOT
Veni, vidi, perii
thorn void
Since |2 - x| < delta (if you have an epsilon that works then you can sub that in already but I’m not gonna worry about that yet)
Have you been through examples where you set delta < some number to be able to bound something that isn’t |x - 2|
For example having delta < 1
vernal mica
For example having delta < 1
Why tho, $\frac{|x - 2|}{2|x|} < |x - 2| < e$
solid kilnBOT
Bishop
thorn void
Why tho, $\frac{|x - 2|}{2|x|} < |x - 2| < e$
That was purely an example
vernal mica
Because all terms are positive
thorn void
Well tbh if delta < 1, |x - 2| < 1 then -1 < x - 2 < 1, so 1 < x < 3, so |x| > 1
vernal mica
I would rewrite this as $\frac{|2 - x|}{2|x|}$ , but you do you.
(Also ignore why i wrote 2 - x , here idk)
marsh forum
Okay, my question is this
to put it better
how do I get $|1/x-1/2| < \varepsilon$ form $|x-2|< 2 \varepsilon$
thorn void
**Bishop**
Well you already have this, which is close
You now just need to bound |x| from below
solid kilnBOT
Veni, vidi, perii
marsh forum
I did get something when I tried
thorn void
I think you are misunderstanding something
solid kilnBOT
Veni, vidi, perii
marsh forum
oops
thorn void
Yeah so you have |x - 2| < delta, now you want to say |x| > …..
And the way I suggested is how you get that
charred storm
delta = 2epsilon is not correct btw
marsh forum
$|x-2|< 2 \varepsilon \implies \frac{1}{x} > \frac{1}{2 -2 \varepsilon}$
solid kilnBOT
Veni, vidi, perii
marsh forum
delta = 2epsilon is not correct btw
is it 3
charred storm
no its just missing something
how did you bound 1/|x| in your scratchwork of finding delta?
vernal mica
$|\frac{1}{x} - \frac{1}{2}| = |\frac{2}{2x} - \frac{x}{2x}| = \frac{|2 - x|}{|2x|} < |x - 2| < \epsilon$ , which completes the proof by choosing $\delta = \epsilon$ , since as $|x - 2| < \delta = \epsilon$ , then $|\frac{1}{x} - \frac{1}{2}| < \epsilon$
solid kilnBOT
Bishop
thorn void
If you set $\delta < 1$ you have $|x - 2| < 1 \implies -1 < x - 1 < 1 \implies 1 < x < 3 \implies |x| > 1$
solid kilnBOT
eugene_krabs_has_cake
marsh forum
$|x-2|< \delta$
\
$2 - \delta <x<2+ \delta$
\
$\frac{1}{2-\delta}>1/x$
solid kilnBOT
Veni, vidi, perii
vernal mica
$|x-2|< \delta$
\\
$2 - \delta <x<2+ \delta$
\\
$\frac{1}{2-\delta}>1/x$
But this is a good way of thinking to keep in mind for different proofs yea
thorn void
**Bishop**
There’s no justification with that first inequality
charred storm
$|x-2|< \delta$
\\
$2 - \delta <x<2+ \delta$
\\
$\frac{1}{2-\delta}>1/x$
this is where letting delta <= 1 helps, since that means 1/x<1 which is how the |x| can just 'dissappear' when upper bounding. So your delta=min(2epsilon,1) and you use that when doing the actual proof
vernal mica
There’s no justification with that first inequality
|2 - x| = |x - 2|
vernal mica
Oh
thorn void
It works if you let delta < 1 though
marsh forum
this is where letting delta <= 1 helps, since that means 1/x<1 which is how the ...
how?
charred storm
if delta < 1 then 1/2>1/x from what you just found which means 1>1/x also
thorn void
how?
I’m sure Ann’s gone through examples where she gave you her solution where she made delta be less than some known number to be able to bound things
charred storm
thats how in your scratchwork you go from |x-2|/2|x| < |x-2|/2 by letting delta<1
which in the actual proof means you need it to go the opposite way
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stray lynx
I got #3 like
(2²-5x+3)(x-3)
(2²-6x+1x+5)(x+1)
2x(x-3)+1(x+3)
(x-3)(x+3)(2x+1)(x-3)
(x+3)(2x+1)(x-3)²
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stray lynx
.reopen
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✅
stray lynx
Is it
(2x²-5x+3)(x-3)
(2x²-3x-2x+3)(x-3)
(2x²-3x)(-2x+3)(x-3)
2x(x-1)-3(x-1)(x-3)
(x-1)(2x-3)(x-3)?
?
Wait
I noticed something
On the 3rd part
Its x(2x-3)(-2x+3)(x-3)
stray lynx
Is it
(2x²-5x+3)(x-3)
(2x²-3x-2x+3)(x-3)
(2x²-3x)(-2x+3)(x-3)
2x(x-1)-3(x-1)(x-3...
Cuz if i follow the -3(x-1) here
I'd get -3x+3
???
grim raft
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grim raft
How to determine corner / cusp
nimble stone
check if the derivatives are continuous
grim raft
How do I find the derivative ?
nimble stone
the derivative of f(x) will equate to the derivative of all its expressions, bounds unchanged
if the function is continuous at the point and the derivative is not then its a corner/cusp
grim raft
So it’s like if it continues in a straight line then derives from it ?
nimble stone
im not sure what you mean
grim raft
Like I understand at -2 it doesn’t connect so it’s discontinuos , but what does that have to do with the derivative ?
nimble stone
it doesnt
im saying that if f is continuous at a point, but its derivatives are not, then its a corner
,w graph |x|
solid kilnBOT
nimble stone
like here, at 0 f is continuous, but the derivative isnt
its a corner
from the left the f'=-1, from the right f'=1
grim raft
Im still confused on what the derivative is , is there an algebraic value ?
nimble stone
do you know what derivatives are?
grim raft
No not really
nimble stone
here you would only need the power rule if you want to do it algebraically
however, if you draw your graph reasonably accurately, you should be able to tell by looking at it
grim raft
however, if you draw your graph reasonably accurately, you should be able to tel...
Im decent at that, how could I tell a corner / cusp from a graph?
nimble stone
the connecting point on the bounds would be jagged rather than smooth
grim raft
So for example in this
Would it be where it goes down rapidly
Here is better image*
nimble stone
yeah thats nicer
grim raft
So since it is disconnected at -2 it’s a discontinuity, since it’s smooth at 0 it’s a continuous, and since it goes sharply down and jagged at 1 it’s a corner ?
nimble stone
you got it
grim raft
👍 thank you
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haughty heath
how do i dooooooooooo this not sure if i need to go elsewhere tho since its kinda physics
mild oxide
Use equilibrium equations
dry copper
how do i dooooooooooo this not sure if i need to go elsewhere tho since its kind...
the sum of the 3 masses multiplied by their respective distances from the barycenter must be 0
(the direction here is important)
mild oxide
Hun
Huh*
As the beam has to be in equilibrium use summation Fx=0, Fy=0
And summation of moment of all the force about any point on the beam =0
haughty heath
the sum of the 3 masses multiplied by their respective distances from the baryce...
wdym
so 10+6
16x10
?
haughty heath
As the beam has to be in equilibrium use summation Fx=0, Fy=0
And summation of ...
i dont get it
mild oxide
See
I did the question
And you don't need that much
You know moment of force?
About a point?
mild oxide
Aah
haughty heath
I haven’t touched high school stuff in a while
haughty heath
I’m cooked
mild oxide
Moment of force about a point
Is the perpendicular distance of the line of action of that force from that point
Like let me give you an example
Look at this
I hope I have written clear and crisp
@haughty heath
Are you getting what I have written?
haughty heath
But what’s that got to do with the question above?
mild oxide
See
haughty heath
I hope I have written clear and crisp
Not really
haughty heath
Not really
I mean you have written clear I’m just not clear in the head
mild oxide
Oh
mild oxide
See I explained a concept there
Which is useful in this question
See if the beam is balanced
It will be in equilibrium
haughty heath
Oh never mind
mild oxide
Wait gotta go
haughty heath
It will be in equilibrium
Yeah gonna have to speak to me on a dummy level
Remember I haven’t touched this stuff in a while and those terms aren’t gonna mean anything to me
haughty heath
Think about explaining this to ur dad who hasn’t done math in uears
He won’t know what most of these terms mean I’d assume so anyway
mild oxide
Think about explaining this to ur dad who hasn’t done math in uears
He's gonna smack me if I say you don't know anything
💀☠️
And let me explain it
haughty heath
😭
haughty heath
Haha
haughty heath
Alright let’s do it
mild oxide
I would prefer what Emily told
mild oxide
the sum of the 3 masses multiplied by their respective distances from the baryce...
This
haughty heath
Just keep it simple and explain how to do the problem
I don’t necessarily want to understand it
Just need to get to the answer so I can pass a test
haughty heath
So let’s go step by step
mild oxide
!nosols
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As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
haughty heath
the sum of the 3 masses multiplied by their respective distances from the baryce...
So 10x10
6x4?
haughty heath
As a helper, please do not give out answers that could be copied as a homework s...
Holy fuck I’m not a student ahaha
haughty heath
10x10+6x4=Wx8
Right so that’s 124
Idk what I’ve got tho
What is it 124 N or Kg or m
haughty heath
Ohhh then I do 124 divide 8
mild oxide
Now for !
haughty heath
Yeahhh
mild oxide
Now for N
haughty heath
Wait
mild oxide
We multiply by 10
dry copper
thanks for explaining that @mild oxide i was away
haughty heath
M is distance?
mild oxide
Actually Emily thanks
dry copper
exactly my point, nice
mild oxide
To you too for explaining simply
haughty heath
Simple explanation is the way I like it
mild oxide
I told him bout moment of force but he has gotten rusty
haughty heath
Yeah don’t remember that
Don’t think I need to but if you can somehow explain it on dummy terms I’m all ears
mild oxide
Bro see
dry copper
yeah, torque and lever arm and cross product, no one remembers lol
mild oxide
For you to understand moment of force
First I need you to explain force
And for this question specifically
I need to explain you weight,force, moment of force, and equilibrium equations
haughty heath
The what
What is equilibrium
English please
Not math language
Or chemistry
Whatever it is
mild oxide
Equilibrium is a state in which a body
Has net force 0 on it
In any direction
Along any dimension in which it exists
May it be 3 d 2d or 1d
haughty heath
mild oxide
💀☠️
haughty heath
Gang
dry copper
YT required imo lol
haughty heath
INFACT I may never have done this
mild oxide
Relax
haughty heath
It doesent ring a bell
I don’t think I’ve done whatever u were talking about above
mild oxide
Ok so we begin with the next unit
haughty heath
I did maths and physics up until 15 then stopped
mild oxide
Chill bro see now
haughty heath
That’s where my knowledge with this shenanigans goes
haughty heath
Yes
mild oxide
,w 15.5x9.81
solid kilnBOT
haughty heath
Nah
mild oxide
,w 15.5*10
solid kilnBOT
mild oxide
Yes
haughty heath
Cus 15.5x10
mild oxide
Fr
haughty heath
Is 155
mild oxide
Yes
haughty heath
Thank u
haughty heath
Gracias
mild oxide
em?
haughty heath
Short for Emily
haughty heath
.close
calm rover
Can someone please show me a step by step solution to this? Do i need to use natural log to get the answer? I have simplfied it but idk what to do next.
simple haven
!show
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Show your work, and if possible, explain where you are stuck.
simple haven
!noans
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The purpose of this server is to help you learn, not to hand out answers. Do not ask someone to give you the answer directly.
simple haven
For the record, I would start by raising everything to the x power and then multiplying by (x+1) on both sides.
calm rover
I am actually not learning this topic atm but my friend asked me if i know the answer I just wanna know how to approach it.
calm rover
For the record, I would start by raising everything to the x power and then mult...
oh thanks
I will try that
simple haven
But after this you have 2 = u^(u^2)
Where u = x+1
And this isn't straightforward to solve still
The problem is I saw the solution at a glance because I'm familiar with a particular proof.
But actually solving it when you're not familiar with said proof is less obvious
One method that will work is to rewrite the base of the right hand side.
So that the base is 2 instead of u
If you're familiar with log and exponents then you might have done something similar for base e.
But it's a little more rare with base 2
u^(u^2) becomes 2^(u^2 log2(u))
And you can rewrite it into a form where you can eventually use the Lambert W function
Which will give you all the solutions, not just the two real ones.
But I don't see a clean way of getting the two real solutions without just making an educated guess
calm rover
u^(u^2) becomes 2^(u^2 log2(u))
is it the power rule?
simple haven
For any base b > 0 and ≠ 1, if you have x (in the proper domain), then x = b^(logb(x))
calm rover
thank you for helping me, You made this easy to understand but now I know I really need to get better at logs.
simple haven
It's a much harder problem than you'd typically see at the high school level
wraith hinge
answer
wraith hinge
question
if there are 3 gorillas wearing tuxedos, how many dogs are purple and how many cats are red?
sudden trout
Ragebait
wraith hinge
X are purple and y cats are red
Boy the spelling mistakes
fallow grotto
Trick question. No cats are red
wraith hinge
correct
but what about the dogs question
The answer is: 
you're gonna ban me for asking a question?
main sigil
main sigil
Trick question. No cats are red
conjecture debunked
fallow grotto
Clearly a fox
high cipher
wraith hinge
they do exist
main sigil
Clearly a fox
mb mb
rare token
is there a question here?
wraith hinge
uh huh
main sigil
a very stupid one, but yes
wraith hinge
if there are 3 gorillas wearing tuxedos, how many dogs are purple and how many cats are red?
rare token
a very stupid one, but yes
where?
fallow grotto
is there a question here?
No. Just trolling
wraith hinge
there IS an answer
main sigil
yes, there is an answer
wraith hinge
it's not even trolling it's a question
if there are 3 gorillas wearing tuxedos, how many dogs are purple and how many cats are red?
main sigil
we just dont know the answer
wraith hinge
if there are 3 gorillas wearing tuxedos, how many dogs are purple and how many c...
0 0
wraith hinge
someone already got half of it
rare token
if there are 3 gorillas wearing tuxedos, how many dogs are purple and how many c...
0, all the cats and dogs are dead because the gorillas killed them.
main sigil
someone already got half of it
the other half is 0
high cipher
the gorilla mafia
sudden trout
"How much days does frazzle get to be banned" can someone help me solve this
high cipher
0
wraith hinge
0, all the cats and dogs are dead because the gorillas killed them.
almost, there were 17 dogs and 32 cats, which would beat the gorillas.
wraith hinge
if there are 3 gorillas wearing tuxedos, how many dogs are purple and how many c...
0 and 0
rare token
almost, there were 17 dogs and 32 cats, which would beat the gorillas.
I doubt they would
main sigil
almost, there were 17 dogs and 32 cats, which would beat the gorillas.
what if there weren't?
main sigil
prove that there were as many of them
high cipher
what if there weren't?
then the gorillas wouldn't wear tuxedos duh
rare token
it's my question, i think i'd know
no, ur asking the question 'cause u don't know the answer
main sigil
it's my question, i think i'd know
if you know, why are u asking?
rare token
i knew we were getting a group question
wraith hinge
How many Sylow-5 subgroups are in S_5
6 sylow 5_subgroups
main sigil
5_subgroups
wraith hinge
am i correct???
wraith hinge
6 sylow 5_subgroups
how would you know that
wraith hinge
how would you know that
wdym
rare token
I definitely don't miss abstract algebra. Done w/ the kernel and that bs
main sigil
how would you know that
wraith hinge
google.com
so because i actually have a brain you think i cheat?
main sigil
like how do you derive that
do d/dx maybe
main sigil
so because i actually have a brain you think i cheat?
yes, i do
main sigil
||gonna be chatgpt.com now||
rare token
do d/dx maybe
thats not what he meant by derive lol
main sigil
thats not what he meant by derive lol
yeah, ik lol
wraith hinge
According to Sylow theorems, the number of Sylow 5)subgroups, denoted as n 5, must satisfy two conditions: n 5 is congruent to 1 modulo 5. n 5 divides the group order divided by 5, meaning 240 / 5 - 24. from this, the only divisor of 24 that is also 1 mod 5 is 1. Therefore, there is exactly one sylow 5 subgroup in S 5
example btw
rare token
we didn't study Sylow in AA. And I'm glad
wraith hinge
According to Sylow theorems, the number of Sylow 5)subgroups, denoted as n 5, mu...
"Therefore, there is exactly one sylow 5 subgroup in S 5"
uh what?
wraith hinge
"Therefore, there is exactly one sylow 5 subgroup in S 5"
uh what?
if you had read what i said under, it said "example btw"
whole coral
so because i actually have a brain you think i cheat?
Not a cheat, huh?
1 + 1 = 3, example btw
wraith hinge
if you had read what i said under, it said "example btw"
example what, that's my question answer, what you wrote is my question's answer not an example
rare token
Does ChatGPT actually help you guys? Idk 'cause that wasn't around when I was in school.
wraith hinge
Does ChatGPT actually help you guys? Idk 'cause that wasn't around when I was in...
!nogpt
trim joltBOT
Does ChatGPT actually help you guys? Idk 'cause that wasn't around when I was in...
Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).
wraith hinge
example what, that's my question answer, what you wrote is my question's answer ...
is it your question's answer?
I enslave ChatGPT to write my latex documents tho
i just gave an example
main sigil
i just gave an example
okay, do this now:
How many sylow 5-subgroups are in the dihedral group of order 11?
main sigil
How many sylow 5-subgroups are in the dihedral group of order 11?
@glad fog can you do this?
wraith hinge
is it your question's answer?
do you not know my question nor its answer?
rare token
do you not know my question nor its answer?
r u taking real soon?
wraith hinge
r u taking real soon?
real analysis?
dim falcon
Imagine we have a convex pentagon named P and we put a dot in the middle of the each side , then we connect the dots , lets call the new pentagon P' , now imagine that we never had the P pentagon , please state a way to draw the P pentagon with only the P' being given
Pls let me know if you didn't understand the problem
zinc ginkgo
!msgdel
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drifting storm
Hi guys, i’m supposed to solve the equation for 0 greater than or equal to x greater than or equal to 180. Am i wrong?
drifting storm
The answer key shows 26.6 and 153.4, but the answer key might be wrong
true kestrel
,w arccos(0.6)
still rose
wtf
whole coral
I don't get this here, I get something different
true kestrel
as u can see here
drifting storm
ohhhh u’re rightt
drifting storm
I don't get this here, I get something different
yess i miscalculated 🤦🏻♀️
drifting storm
,w arccos(0.6)
thank you so much 😭🙏🏻
drifting storm
I don't get this here, I get something different
thankyouuu
drifting storm
i haven’t learned this but thats cool 😭😭
true kestrel
XD
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jaunty wigeon
For euler angles and different order modes (e.g. ZXY) are the rotations actually applied from left to right, i.e. is it
Rotate about the z axis, then rotate about the x axis and finally rotate about the y axis
or is it
Rotate about the y axis, then the x axis and finally the z axis?
I remember someone mentioning they are actually in reverse so it would be the latter, altho it was so long ago that it may have been about a different thing..
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For euler angles and different order modes (e.g. ZXY) are the rotations actually...
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mild scroll
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mild scroll
so
at II
we need to find the arithmetic average and the geometric ones
idk im bad at english mb in advance
we'll work them out first
a = 2 / (sqrt 3 + sqrt 5 ) + sqrt 3 - 1
we could multiply the first one by sqrt 3 - sqrt 5 to get that formula
and it'd be (2sqrt3 - 2 sqrt 5) / (3-5) + sqrt 3 - 1
wait i wrote 3+5 in my class note
wtf
yea can anyone hel
p
(2sqrt3 - 2 sqrt 5) / (3-5) + sqrt 3 - 1 = (2sqrt3 - 2 sqrt 5) / -2 + sqrt 3 - 1
2sqrt3 / -2 + (2 sqrt 5) / -2 + sqrt 3 - 1
-sqrt3 + sqrt 5 + sqrt 3 - 1
sqrt 5 + 1
ez
for b we could do the same thing i believe
(6sqrt 2 + 3 sqrt 5 )/( 8-5 ) - sqrt 8+ 1
2sqrt 2 + sqrt 5 - sqrt 8+ 1
sqrt 8 + sqrt 5 - sqrt 8+ 1
sqrt 5 + 1
yea finished it
now 3
find b1 and q if ..
yea
idfk
tf
nvm
solve it
solvedi
yea ioll close this
.close
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steep tiger
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wraith hinge
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wraith hinge
If you get 0.1730 then how is it a root if it’s not zero
prime lynx
prime lynx
It says correct to '1 decimal place'
prime lynx
Isn’t that like not a root
Find the root and approximate to 1 decimal place to prove it
wraith hinge
you find the root by decimals search or bisecting right
prime lynx
,w plot 3^x + x-8
solid kilnBOT
wraith hinge
Idk if I can use this in my exam tho
lusty delta
you find the root by decimals search or bisecting right
yes you plug in numbers into 3^x + x - 8 as you get closer to 0
lusty delta
yes
wraith hinge
Ok thanks gang ☺️☺️
prime lynx
wraith hinge
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ocean remnant
Hello! I am looking for a function to increase resolution within my storage. I need small values to be stored with more accuracy, and larger values with less accuracy. Basically, I need a function that looks like this (and its inverse), with a more exaggerated/controllable curve (graphed here: f(x) = 2-2/(1+x)):
ocean remnant
in other terms, I need a continuous function where f(0) = 0 and (1) = 1, and f(0.2) roughly equal f(0.8)
it needs to be pretty fast in term of computing as well
limpid dawn
it needs to be pretty fast in term of computing as well
Do you want exponential growth?
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ocean remnant
ty!
twilit viper
(1+2)^2006=a+b√2. calculate a^2-2b^2
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(1+2)^2006=a+b√2. calculate a^2-2b^2
lusty delta
should that say (1 + sqrt(2)) at the start
twilit viper
no
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no
Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.
twilit viper
a and b reel numbers :(1+2)^2006=a+b√2. calculate a^2-2b^2
umbral dragon
Just post a picture
twilit viper
can't 'm on pc no cam
lusty delta
a and b reel numbers :(1+2)^2006=a+b√2. ...
ok so that is definitely not what the problem is asking for so here is revised problem
(1 + sqrt(2))^2006 = a + b sqrt(2) where a and b are integers
compute a^2 - 2 b^2
thorn void
a and b reel numbers :(1+2)^2006=a+b√2. ...
Well the left is rational and the right isn’t
lusty delta
to do this, use difference of squares to force a^2 - 2 b^2 to factor
twilit viper
ok so that is definitely not what the problem is asking for so here is revised p...
yes
zinc ginkgo
Well the left is rational and the right isn’t
You just proved b=0
twilit viper
ths is it ;(1+√2)^2006=a+b√2. calculate a^2-2b^2
thorn void
You just proved b=0
Oh yeah true, but that surely isn’t the problem, otherwise it’s trivial
lusty delta
ths is it ;(1+√2)^2006=a+b√2. calculate a^2-2b^2
ik that is it
lusty delta
to do this, use difference of squares to force a^2 - 2 b^2 to factor
read here
zinc ginkgo
ths is it ;(1+√2)^2006=a+b√2. calculate a^2-2b^2
Next time read more carefully what helpers are telling you
zinc ginkgo
should that say (1 + sqrt(2)) at the start
.
twilit viper
ok
but i tried solving it but i can't wa have just started a lesson and
the teacher gave us this exercice
zinc ginkgo
but i tried solving it but i can't wa have just started a lesson and
People are helping you and you're just ignoring
twilit viper
no
twilit viper
tried what he said but haven't got result
zinc ginkgo
Show what you tried
twilit viper
don't have a camera sorry
zinc ginkgo
Type it then
twilit viper
If we find the value of a^2-2b^2, then we have the value of a-b root 2, e5 so we can find the value of a and b which is impossible since they have an infinity of solutions
zinc ginkgo
If we find the value of a^2-2b^2, then we have the value of a-b root 2, e5 so we...
So you didn't factor a^2 - 2 * b^2 yet
twilit viper
but we can't t have nfnity solutons
zinc ginkgo
to do this, use difference of squares to force a^2 - 2 b^2 to factor
As another hint to this,
(m-n)(m+n) = m^2 - n^2
umbral dragon
but we can't t have nfnity solutons
Not if a and b are integers
twilit viper
yes
umbral dragon
Then it’s not infinite
twilit viper
As another hint to this,
(m-n)(m+n) = m^2 - n^2
tried it wn't help
zinc ginkgo
tried it wn't help
Show how you factored
zinc ginkgo
If we find the value of a^2-2b^2, then we have the value of a-b root 2, e5 so we...
Because that ain't it
umbral dragon
@zinc ginkgo just asking for myself, would I have to find a and b to get the solution or is there a shortcut
twilit viper
wait
limpid dawn
<@261933205387477002> just asking for myself, would I have to find a and b to ge...
i think you would have to pay him money for an answer
twilit viper
Show how you factored
(a+b√2)(a-b√2)
zinc ginkgo
Compare the binomial expansion of (1+sqrt(2))^2006 with (1-sqrt(2))^2006 to find a-b*sqrt(2)
twilit viper
haven't done the lesson yet
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@twilit viper Has your question been resolved?
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@twilit viper Has your question been resolved?
lone mauve
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lone mauve
can someone explain what is going on here?
i don't see it
how do we expand this from 3 to 4
() groupings or whatever we call them
it's like (~p V r) is being duplicated. how is that distribution tho?
tulip violet
It's like an equation, (x + y) * z then when you distribute that, you get (xz + yz)
Same idea
lone mauve
It's like an equation, (x + y) * z then when you distribute that, you get (xz + ...
except i dont see the brackets
i read it as a or b or c
tulip violet
It says to distribute the third term over the first two
lone mauve
I get that we can use associative law to move third term first
if that helps
since each () is seperated by same V symbol
but I don't get how we can distribute it, for some reason i don't see it
lone mauve
with these examples it's like "p V" is being distributed
oh
it still is, but it's bigger
dang that's tricky to see
lone mauve
it's like we are replacing p with (~p V r) in this
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wet apex
Hi
prisma stone
Find average of those 2 lengths first.
Max: tallest player
Min: shortest player
Avg: (Max + Min) / 2
And inequality is |Avg-x| <= (Max - Avg)
wet apex
Find average of those 2 lengths first.
Max: tallest player
Min: shortest player...
I don’t get the last part
Oh wait
Like that right
What does the compound inequality and set notation mean
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spring summit
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spring summit
<@&286206848099549185>
dry copper
!show
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Show your work, and if possible, explain where you are stuck.
spring summit
Not sure what to do with the root x in numerator
spring summit
Yeah but du would be 1/2root x
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echo jasper
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wraith hinge
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wraith hinge
${x\leq0}$
solid kilnBOT
icannotdoanymorecauchy
wraith hinge
note the domain
how
if it is less than zero
the inverse should be negative
so
${f^{-1}(x) = -\sqrt{x+4}}$
solid kilnBOT
icannotdoanymorecauchy
solid kilnBOT
icannotdoanymorecauchy
wraith hinge
so doamin = $(-\infty, 0]$
solid kilnBOT
icannotdoanymorecauchy
floral garnet
hello, i require help with this question. i do not have much experience with vectors 🙂
floral garnet
i've been asking this question on some different servers, but no one know how to do it 😦
ionic pendant
you can show that with a diagram
wraith hinge
floral garnet
represented in argand diagra
floral garnet
im not familliar with this
wait
hmm
yeah ive lost it
can you do that in vectors 😭
is rhere any way to do it using vector equations?
wraith hinge
idk
ionic pendant
addition and subtraction of complex numbers is really the same thing as addition and subtraction of vectors, which is why we're equating complex numbers and vectors in the first place
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echo jasper
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ionic pendant
what is f supposed to be?
prime crystal
what is that extra f for
echo jasper
uh
well the previous problem he did that i just dont understand why the f is gone this time
let me show
Like
he put that F there
ionic pendant
the F is supposed to be the force of the rope
ionic pendant
the free body diagram only represents forces acting on an object, not forces exerted by an object
prime crystal
also shouldnt it be Fn - mg = ma
echo jasper
ya i thought that becuz mg going dwn
ionic pendant
F is a generic name for any force that doesnt have a specific name
echo jasper
oh
ionic pendant
also shouldnt it be Fn - mg = ma
it's a vector equation
pearl lark
Does arranging all terms first so that the LHS has all ys and RHS has all the xs leads to a wrong answer in implicit differentiation?
vivid glade
Does arranging all terms first so that the LHS has all ys and RHS has all the xs...
not by itself
in which case $g(y)=f(x)\implies g'(y)\frac{dy}{dx}=f'(x)$
solid kilnBOT
Flip
pearl lark
So rearranging it won't give wrong answer?
vivid glade
not without help
pearl lark
Cuz it seems like I got different answer when I rearranged x^2 + xy^2 + y^2 = 1 first before differentiating
vivid glade
you'd have to do the separation incorrectly to cause trouble
marble wharf
the strength of implicit differentiation is not having to do any separation
pearl lark
you'd have to do the separation incorrectly to cause trouble
This is basically what I did
Is there any errors in the separation process
pearl lark
Typo?
vivid glade
typo
if this is coming from some homework question, what if you miswrote the original question?
pearl lark
Not rlly
pearl lark
This is basically what I did
From the arranged terms, this is what I got
solid kilnBOT
solid kilnBOT
pearl lark
Comparing the results with values x = 2, y = 3
I got this
Why's that if rearranging it doesn't yield to a wrong answer
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limpid dawn
Why's that if rearranging it doesn't yield to a wrong answer
are you here?
zenith bane
Just a easy physic question
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Just a easy physic question
zenith bane
For question i the question key is 4.5/3
How does that work
And i just need to find the slope for question i right?
So that mean find two point from that line and the plug in the slope equation
zinc ginkgo
How does that work
Speed is the change in distance / change in time
So that's the slope
zenith bane
I know
Because the line is like straight
So I got a little bit confuse
Because i use tangent method for the line that’s not straight
But how does 4.5/3 work
I am curious
zinc ginkgo
Speed is the change in distance / change in time
It's just this
Find two points where the change in time is 3
And includes your point in the question
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stoic burrow
How
stoic burrow
Almost, - 0
solid kilnBOT
icannotdoanymorecauchy
limpid belfry
whats the 0-0?
wraith hinge
this?