You can get the side lengths of the base of the prism
#help-13
subtle yew
golden thicket
tan30=CB/BB1?
subtle yew
no
golden thicket
then I don’t understand how to apply this in my task
golden thicket
tan30=CB/BB1?
but why is it wrong if this way I find BB1 and this is the height
and in the formula for the area of the base you need the height
subtle yew
Because you didn't show how you got to that part
I have a method of solving it in my head
It likely doesn't allign with how you're doing it
That's why I said it was wrong, but really I meant to say "I don't know"
golden thicket
I need to know your method to understand if we do this
subtle yew
Do you get it?
golden thicket
Do you get it?
like yes
subtle yew
so far so good?
golden thicket
so far so good?
hmmmmm.... yes
subtle yew
If you increase the 30 degree angle... the width of the base of the prism would change, right?
So would the height or something, probably
golden thicket
right
subtle yew
Meaning there's a relation between the 30 degree angle, and angle at point c
Find that relationship, and you'll be able to solve the question.
golden thicket
I know that a leg opposite an angle of 30 is equal to half the hypotenuse, but that doesn't fit, does it?
subtle yew
I'm not sure myself to be honest.
Assuming the height is static, which it is
The angle at C is dependent on the angle at B1, probably by some factor of the static height given, which is 2 * sqrt(3)
I'm thinking it might be possible using similar triangles.
At this point, I'm giving ideas lol
golden thicket
what is cubert(3)? 3^2?
golden thicket
cube root.
ohhhh ok
golden thicket
sqrt, square root
sure
subtle yew
If AB is double of b
Then would AB1 be double the length of CB? 🤔
I'm not sure... I feel like there's way too little fiven info in the question
Alright, man... I tried.
I'm sorry ;----;
golden thicket
subtle yew
See, I'd spend more time on it, but it's 3 32 am and I have maths of my own to study too. I'm sorry I couldn't help much lol
cedar kilnBOT
@golden thicket Has your question been resolved?
golden thicket
.close
cedar kilnBOT
cedar kilnBOT
Available help channel!
worthy grove
cedar kilnBOT
cedar kilnBOT
cedar kilnBOT
Available help channel!
flat sparrow
Does this look good?
cedar kilnBOT
Does this look good?
flat sparrow
sorry if its hard to read
surreal cave
Does this look good?
The quadratic formula:\~\
For some $ax^2+bx+c=0$
$$x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$
wraith daggerBOT
FancyBredFries
surreal cave
that 2a goes to both -b and the radical
flat sparrow
did i mis input
flat sparrow
that 2a goes to both -b and the radical
which part?
surreal cave
the first line
flat sparrow
oh
i was suppoesd to divide 16 by 2
at the start
so in the end it would actually end up being {-4 +/- square root 79}
?
flat sparrow
the first line
^
surreal cave
pretty much all ur calculations are wrong 😅
severe estuary
Factor by grouping 2x^4+3x^3-32x^2-48x
cedar kilnBOT
Factor by grouping 2x^4+3x^3-32x^2-48x
rain drift
good start! Is there anything out of x^3-16x we can factor out?
rain drift
(x+4) (x-4)
right direction, but you're missing a step here
we have to factor out an x
in order to do that
rain drift
So then you have x(x+4)(x-4)(2x+3)
that's about as far as you can factor
so there's your answer 🙂
severe estuary
Thanks I have a question tho how do we know to factor the x outside the box?
Like how does x^3-16x factor to x
Nvm I got it
.close
reef robin
This is part of a chemistry problem, so the ask seems a little weird out of context. I have 3 positive constants $a, b, c$ where $a < b$. I want to prove that $2a < a + b + 2c - \sqrt{(a-b)^2 + 4c^2} < 2b$
Where would I start
reef robin
neat dune
I would start by adding both sides of the two inequalities by the square root, then subtracting both sides by 2a or 2b respectively to isolate the square root, and then squaring
After that it's probs just a bunch of expanding and rearranging but I'm not 100% sure
The fact that $a <b$ is useful for the latter portion of the inequality chain cus otherwise after taking those steps, u can't necessarily justify that squaring both sides preserves the inequality
wraith daggerBOT
992qqoloy
reef robin
I would start by adding both sides of the two inequalities by the square root, t...
Sorry I'm a little confused on the notation. Can you write this out
neat dune
bleh I wanted to avoid that cus I'm on my phone tbh 
reef robin
oh nw
When we prove this sort of thing, we need to start with a true statement right?
So what statement do I start with? $a<b$?
wraith daggerBOT
Methylfluorophosphonylcholine
neat dune
Well with inequalities like this
What you generally do is work backwards
That only works if all the steps you do are reversible tho
So for instance if $x^2 < y^2$ you can't generally conclude that $x < y$
wraith daggerBOT
992qqoloy
neat dune
Buuuut if say, you know that $0 < x$ and $0 <y$ then you can.
wraith daggerBOT
992qqoloy
neat dune
So for simplicity's sake imma call the whole expression under and including the square root $\sqrt{n}$ 
wraith daggerBOT
992qqoloy
reef robin
**992qqoloy**
makes sense
neat dune
U split up those inequalities u want to prove into $2a < a + b +2c - \sqrt{n}$ and $ a + b +2c - \sqrt{n} < 2b$
wraith daggerBOT
992qqoloy
neat dune
I was thinking first, for each of those inequalities, you add $\sqrt{n}$ to both sides
wraith daggerBOT
992qqoloy
neat dune
Then for the first subtract $2a$, and for the second subtract $2b$
wraith daggerBOT
992qqoloy
neat dune
And then square both sides so u can get rid of the square root
The tricky part here is that u gotta make sure $x^2 < y^2$ implies $x <y$, i. E. That the step is reversible
wraith daggerBOT
992qqoloy
reef robin
mmmm
neat dune
for the first inequality, since $\sqrt{n}$ is always nonnegative, and u'll have something like $\sqrt{n} < stuff$ after the rearranging we just did, then you also know "stuff" is positive, so that justifies the squaring step
wraith daggerBOT
992qqoloy
neat dune
But for the second inequality you'll have something like $stuff2 < \sqrt{n}$
wraith daggerBOT
992qqoloy
neat dune
So you gotta justify why "stuff2" is positive
Oh wait hmm I just realized I misread
Is it $a < b$ or $b< a$ ? Cus the former means squaring both sides won't necessarily work as you'll have $a - b + 2c$ be "stuff2", so since then $a - b$ is negative, depending on the value of $c$ it could be positive or negative
reef robin
I've got it now I think!
wraith daggerBOT
992qqoloy
reef robin
so the issue is to go backwards from the result to a known true statement, we have to square the inequality. But that step isn't always reversible right and thats the issue
neat dune
Yeah
Oh wait I think I know how to fix this
U have two cases: one where $a - b + 2c$ is negative and one where it's nonnegative
wraith daggerBOT
992qqoloy
reef robin
right
neat dune
In the negative case, clearly $a - b + 2c < \sqrt{n}$
wraith daggerBOT
992qqoloy
neat dune
So u can assume it's nonnegative when u square
reef robin
valid. Thank you bro!
neat dune
np
cedar kilnBOT
@reef robin Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
unborn pond
hello, can you help me understand the approach to this problem
unborn pond
dire geode
hello, can you help me understand the approach to this problem
be more specific. where do you get lost first
unborn pond
Ok so i just understoof the first and second line
in this is where the equation came from
now im trying to understand the mathematical process after the second line
like how did we get this
cedar kilnBOT
@unborn pond Has your question been resolved?
cedar kilnBOT
@unborn pond Has your question been resolved?
unborn pond
.close
cedar kilnBOT
cedar kilnBOT
Available help channel!
crimson sedge
To be clear is Vy at the first second 9.81m/s?
cedar kilnBOT
To be clear is Vy at the first second 9.81m/s?
crimson sedge
cedar kilnBOT
@crimson sedge Has your question been resolved?
crimson sedge
crimson sedge
To be clear is Vy at the first second 9.81m/s?
To be clear is Vy at the first second 9.81m/s?
And initial velocity for Vy is 0
azure shadow
yes that is correct
cedar kilnBOT
@crimson sedge Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
marble sluice
How to do this problem?
cedar kilnBOT
How to do this problem?
crimson sedge
whats the question?
marble sluice
$$ \text{ if } \lvert x - 1 \rvert < \delta \text{ Then } \lvert x^2 - 1 \rvert < \frac{1}{2} \text{ f(x) = x^2 find delta so that epsilon = 1/2} $$
wraith daggerBOT
Nerdy_Coder
$$ \text{ if } \lvert x - 1 \rvert < \delta \text{ Then } \lvert x^2 - 1 \rvert < \frac{1}{2} \text{ f(x) = x^2 find delta so that epsilon = 1/2} $$
```Compilation error:```! Missing $ inserted.
<inserted text>
$
l.57 ...x) = x^2 find delta so that epsilon = 1/2}
$$
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.```
valid yacht
If $\lvert x - 1 \rvert < \delta$ then $\lvert x^2 - 1 \rvert < \frac{1}{2} \text{ f(x) = x^2$. Find $\delta$ so that $\epsilon = 1/2$.
lmao
crimson sedge
∀ϵ>0,∃δ>0
s.t. if 0<|x−1|<δ
, then |x2x+2−13|<ϵ
.
|3x2−x−23(x+2)|=|(3x+2)(x−1)3x+6|<ϵ
Let δ=13
. Then, |x−1|<13⇒|x|<43,|3x+2|<6
..
Then, |(3x+2)(x−1)3x+6|<|6(x−1)6|<ϵ
|x−1|<ϵ
, so δ
=min{1/3, ϵ
}
i think this feels correct, but to be sure... i thank in advance!
ig
its correct
marble sluice
I can’t figure this out, so here is the work i’ve done
I tried working out what delta is, but no method worked
tulip stream
Need more readable text and tell what is part of the question and what is not instead of everything being written as white
marble sluice
$$ \text{ if } \lvert x - 1 \rvert < \delta \text{ Then } $$ $$ \lvert x^2 - 1 \rvert < \frac{1}{2} \text{ $f(x) = x^2 find delta so that epsilon = 1/2} $$
wraith daggerBOT
Nerdy_Coder
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
dire geode
$$ \text{ if } \lvert x - 1 \rvert < \delta \text{ Then } $$ $$ \lvert x^2 - 1 \...
Still broken latex
Get help in #latex-help
cedar kilnBOT
@marble sluice Has your question been resolved?
fading forum
hi can someone help? i tried drawing a diagram
cedar kilnBOT
hi can someone help? i tried drawing a diagram
fading forum
fading forum
💀 IDK man I just did 360-220 and I got so-
its 80 tho
according to the answer scheme
violet brook
might wanna redraw the diagram
cedar kilnBOT
@fading forum Has your question been resolved?
polar ermine
determine the vertex form for the function with x-intercepts of (-5, 0) and (-3, 0) that goes throuhj point (-2, -9)'
cedar kilnBOT
determine the vertex form for the function with x-intercepts of (-5, 0) and (-3,...
zenith sail
determine the vertex form for the function with x-intercepts of (-5, 0) and (-3,...
what have you tried?
I'm assuming you're looking for a quadratic
polar ermine
I'm assuming you're looking for a quadratic
yeah. Ive tried to find the equation, i got (x+5) (x+3)
i also found the axis of symmetry which is -4
zenith sail
ahh okay, you found most of the equation
but you're missing the amplitude, a
$y=a(x+5)(x+3)$
wraith daggerBOT
tatpoj
zenith sail
do you see where you could go from here? @polar ermine
polar ermine
do you see where you could go from here? <@785653871464153108>
do i distribute "a" to (x+5) and (x+3)
zenith sail
no, I think that'll just make it harder to find a
zenith sail
**tatpoj**
See how, besides x and y, a is the only unknown in here
so if you have something you can plug in for x and y, you can solve for a
zenith sail
yep
zenith sail
you want it specifically in vertex form, right?
polar ermine
yep
zenith sail
what does your vertex form look like? I don't know of a parameter called q in vertex form
polar ermine
y=a(x-p)^2+q
polar ermine
-9=-3(-2+4)^2+q
zenith sail
yes, that'll work
zenith sail
yep
polar ermine
so y=-3(x+4)^2+3
polar ermine
ye lol
tropic goblet
quick question
cedar kilnBOT
quick question
tropic goblet
I can't divide 0/0 right? so the second part is wrong
and the answer should be y' = 1 or y' = -1 and any T thats not t = 0 or t = -2?
is a solution?
This is a question about existence and uniqueness btw
.close
cedar kilnBOT
cedar kilnBOT
Available help channel!
trim crescent
Could anyone help with this ?
cedar kilnBOT
Could anyone help with this ?
tropic oxide
$|2i \cos(2t) - 2 \sin(t)| = 2 \sqrt{\cos^2(2t) + \sin^2(t)} = 2 \sqrt{1 - 2 \sin^2(t) + \sin^2(t)} = 2 |\cos(t)|$
wraith daggerBOT
Ann
trim crescent
$|2i \cos(2t) - 2 \sin(t)| = 2 \sqrt{\cos^2(2t) + \sin^2(t)} = 2 \sqrt{1 - 2 \si...
How did you find the first equality ?
tropic oxide
$|x + iy| = \sqrt{x^2 + y^2}$?
wraith daggerBOT
Ann
tropic oxide
and i also factored the 2 out for convenience.
cedar kilnBOT
cedar kilnBOT
Available help channel!
lilac flame
23 + x = 69 what's x
cedar kilnBOT
23 + x = 69 what's x
tropic oxide
!status
cedar kilnBOT
What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
1
fickle trellis
How old're you?
tropic oxide
do you know basic algebra?
lilac flame
How old're you?
I don't see how that relates with my question
lilac flame
do you know basic algebra?
Yes
fickle trellis
I don't see how that relates with my question
Okay, then answer Ann's question
tropic oxide
ok so then do you know such basic moves as "subtract ___ from both sides"?
lilac flame
Why would we do that
tropic oxide
to get x on its own? cause that's our goal, isn't it?
what should we subtract from both sides so that the 23 that's being added to x disappears?
tropic oxide
(23+x)^2 = 69^2?
tropic oxide
this is like seeing a small pothole in a road, and saying "What if we blew it up with TNT and then put 200 truckloads of concrete into it?"
lilac flame
are you saying we shoulda took cubes on bs
tropic oxide
fuck no that's nuking it
lilac flame
Regardless there's one more question
tropic oxide
why are you trying to make this equation more complicated than it needs to be lmao
tropic oxide
!original
cedar kilnBOT
Please show the original problem, exactly as it was stated to you. A picture or screenshot is best.
If the original problem is not in English, then post it anyway! The additional context might still help helpers help you. Do your best to translate.
dim tiger
if you want you can raise it to the power of n
lilac flame
x^x^3 = 36
lilac flame
if you want you can raise it to the power of n
Perfect
tropic oxide
$x^{x^3} = 36$?
wraith daggerBOT
Ann
tropic oxide
also uh
lilac flame
Yes
fickle trellis
Are you essentially trying to troll @lilac flame ?
tropic oxide
bruh
lilac flame
Are you essentially trying to troll <@774859580899196938> ?
I am not Muhammad
regal steeple
Nah this dude trolling
dim tiger
ok then can you please take a screenshot of the question
tropic oxide
you would not
lilac flame
ok then can you please take a screenshot of the question
I don't have the book okay
lilac flame
you would not
Why
bleak gazelle
How would you go about solving x^x^3 = 36
I grab desmos
lilac flame
I have only today
tropic oxide
this equation is impossible to solve with simple algebra
bleak gazelle
or some enumerator
lilac flame
this equation is impossible to solve with simple algebra
Use complex then
tropic oxide
also how do we know you did not misremember the question
bleak gazelle
or microsoft math
lilac flame
Can i show my procedure?
bleak gazelle
or something starts with G, with a P in middle and T at the end
tropic oxide
or something starts with G, with a P in middle and T at the end
fuck fof
off*
not that
NEVER USE CHATGPT FOR MATH.
lilac flame
# NEVER USE CHATGPT FOR MATH.
Ikr cant even solve basic binomials
bleak gazelle
# NEVER USE CHATGPT FOR MATH.
what if it worked
tropic oxide
hm
fickle trellis
fakeryc please move elsewhere with your AI advertisement
dim tiger
~~what if it worked~~
no
tropic oxide
happy coincidence, i guess?
thorn furnace
fun little status u got there too
tropic oxide
you could not solve x^x^3 = 37 this way.
tropic oxide
Fuck you ik its correct
i didn't say it wasn't
lilac flame
you could not solve x^x^3 = 37 this way.
True but not a question innit
bleak gazelle
I'd just grab python
lilac flame
Well lovely talk wasn't it fellows
dim tiger
Fuck you ik its correct
bro have some respect she is helping
bleak gazelle
make a enumerator
lilac flame
bro have some respect she is helping
Mb
livid hound
Well lovely talk wasn't it fellows
not really no
lilac flame
Ann senpai im sorry
tropic oxide
yeah it was not lovely at all
fickle trellis
Thankyou for the trolling you did.
orchid summit
Fuck you ik its correct
this is the question i was asked but didn't have the balls to say this
livid hound
if you already had the solution, that you knew was right you didn't really need to come here for that
lilac flame
Why tf is the entire server here
tropic oxide
@lilac flame are you over or under 13 btw
lilac flame
if you already had the solution, that you knew was right you didn't really need ...
Wanted to know about my procedure
lilac flame
<@774859580899196938> are you over or under 13 btw
Does it matter? I am 16
thorn furnace
We are gathered here today to let you know mista V that You Suck
tropic oxide
we get underage people in here sometimes
livid hound
and the difference in level of math compared to your original question
makes people queestion whether your intentions are genuine
tropic oxide
^
lilac flame
We are gathered here today to let you know mista V that You Suck
Sorry
tropic oxide
why open with the most elementary equation possible
fickle trellis
We are gathered here today to let you know mista V that You Suck
Tbh everyone is here.
tropic oxide
why the bait and switch
there's no point in it other than to waste people's time and troll
lilac flame
and the difference in level of math compared to your original question
makes peo...
My sir used to say harder questions makes you harder
livid hound
of whether you're genuinely here to get proper help
or just troll/waste peoples time
nova snow
ok
nova snow
My sir used to say harder questions makes you harder
pause
orchid summit
bro what
orchid summit
sure
lilac flame
I believe i found the my answer
fickle trellis
Do you have any other questions that are genuine and not troll messages?
livid hound
go whenever, you don't need our permission to leave
regal steeple
My sir used to say harder questions makes you harder
Bro what?
lilac flame
Do you have any other questions that are genuine and not troll messages?
In fact yes
fickle trellis
Actually yes you can go now
fickle trellis
I don't want questions, I meant if you needed any help with more questions
lilac flame
{a} what kind of matrix is this is it a scalar, diagonal, square, rectangular
fickle trellis
Where is the matrix?
dim tiger
Where is the matrix?
in his mind
lilac flame
Where is the matrix?
Um its the first word
tropic oxide
mistav you are trolling
orchid summit
fs
lilac flame
[a]
dim tiger
the guy is a troll
lilac flame
Alright now better
dim tiger
high level troll
lilac flame
NO I AM NOT ISTG
thorn furnace
1x1 matrix is all of the above lololo
lilac flame
1x1 matrix is all of the above lololo
If u had to pick one option
dim tiger
ohh wait
fickle trellis
Its a scalar matrix first of all.
lilac flame
Its a scalar matrix first of all.
Nope
lilac flame
Brb
thorn furnace
its only nonzero entriesareon the diagonal
orchid summit
it's diag as well?
thorn furnace
its also square because 1=1
fickle trellis
It's also a square matrix
thorn furnace
its also rectangular because every matrix is rectangular
fickle trellis
its also rectangular because every matrix is rectangular
orchid summit
it's a quadruple matrix 
fickle trellis
it's a quadruple matrix <:opencry:586078614865444865>
quadrilateral matrix
lilac flame
The correct answer was diagonal btw
fickle trellis
But anyway this is a help channel
fickle trellis
The correct answer was diagonal btw
lilac flame
Am i in general chat?
lilac flame
<:sully:651816820122189834>
Hey dont ask me how it is
thorn furnace
you're in your own help channel
orchid summit
Idk its an entry question our sir asked
exaplaib
orchid summit
Should we ping the mods
probably
lilac flame
how is it diagonal cuh
Cuz every diagonal matrix has to be square
orchid summit
Cuz every diagonal matrix has to be square
why
dim tiger
you are in general troll my friend
fickle trellis
I hate people who are all about their sir.
fickle trellis
i hate people
fickle trellis
Whats a scalar matrix, Mistav?
orchid summit
mostav can u tell what a scalar matrix is
lilac flame
Whats a scalar matrix, Mistav?
It can be that but it wasn't
sudden pivot
wth is happening here
regal steeple
Can i go now
Who is stopping u just close the channel
fickle trellis
It can be that but it wasn't
Wym it wasn't
orchid summit
Whats a scalar matrix, Mistav?
STOP ASKKNG MY questions 😭
thorn furnace
multiple of identity
lilac flame
Who is stopping u just close the channel
Disrespectful innit yall my seniors
fickle trellis
Actually we need a modping tbh
sudden pivot
do .close
cedar kilnBOT
fickle trellis
<@&268886789983436800> read the help channel please.
orchid summit
Disrespectful innit yall my seniors
aight innit
thorn furnace
its so intuitive if thats notan actual term then it ought to be
fickle trellis
Let them decide
thorn furnace
why ping mods lmao
dim tiger
Whats a scalar matrix, Mistav?
are you our hostage or something
orchid summit
yo mods we probably got a under 13 year old here
fickle trellis
yo mods we probably got a under 13 year old here
Hes not under 13
orchid summit
Hes not under 13
man i'm getting 11 year old vibes from him
thorn furnace
hes just having his fun at the expense of others
dim tiger
are you our hostage or something
wrong reply sorry
thorn furnace
hes kindachillin
orchid summit
i was like this when i was 12 👀
cedar kilnBOT
Available help channel!
fickle trellis
wrong reply sorry
I was wondering what that was
cedar kilnBOT
I was wondering what that was
sudden pivot
close
orchid summit
lmao
cedar kilnBOT
dim tiger
man i'm getting 11 year old vibes from him
i am not getting vibes at all
sudden pivot
stop talking
fickle trellis
Ive never ever created a help channel
nova snow
fickle trellis
This is a bug
fickle trellis
were you born in the form of a helper
My message is before the available message
anyway vacate
dim tiger
my internet is trash images are taking forever to load
slim jasper
<@&268886789983436800> read the help channel please.
Please don't make modpings a guessing contest. State what it is you think needs moderator attention.
thorn furnace
Ive never ever created a help channel
false
lilac flame
Please don't make modpings a guessing contest. State what it is you think needs ...
You tell em mod senpai
Btw i am 16
fickle trellis
Please don't make modpings a guessing contest. State what it is you think needs ...
Well. Uh I meant read the start of the help channel... The questions seem all trolling.
lilac flame
Well. Uh I meant read the start of the help channel... The questions seem all tr...
You just got told off brother
cedar kilnBOT
Available help channel!
agile trellis
cedar kilnBOT
nimble ibex
cedar kilnBOT
random pivot
How can the question be simplified to only sqrt of 5
nimble ibex
can someone explain what this means
nimble ibex
yh sos
random pivot
np
nimble ibex
Can someone explain what the question is asking for?
surely all integrals go to something
random pivot
Can someone explain what the question is asking for?
nimble ibex
<:QED:406575734312927232> <:SpecZ:850236699246067763> <:calculus:102653318661380...
uhhhhhh
lemme search that up
random pivot
lol i dont even know what all 3 is
nimble ibex
how does that answer my question? slightly confused
random pivot
it dont
random pivot
i cant sorry, but someone will eventually help you
cedar kilnBOT
@nimble ibex Has your question been resolved?
nimble ibex
<@&286206848099549185>
nimble ibex
Can someone explain what the question is asking for?
can you explain what this question wants and how to do it?
thanks
wicked relic
It's saying, is the area finite
nimble ibex
It's saying, is the area finite
so yes because sin(0->90) is never 0
wicked relic
Yes
nimble ibex
.close
formal gate
Could someone help me with 2 b ? This is what I got for 2 a
cedar kilnBOT
Could someone help me with 2 b ? This is what I got for 2 a
prisma gull
Haven’t you got help earlier?
prisma gull
Oh i see
do you see, x being a variable can result in different area based on the input for x from part a?
4x+4 is rather an equation for finding area when you have a varying length x
do you see that ?
formal gate
Ye
prisma gull
So for different values of x you get different area right?
or for a specific area you have the corresponding length specific value for x.
now the area of the figure being 18
what does that tell you?
you have to set the length accordingly so the the total sum becomes 18 right?
or 4x+4= 18
formal gate
Ye
prisma gull
better to subtract 4
first
your goal is make x alone in the right, by undoing the process
your x is being multiplied by 4 and added 4 leaving you 18
now you undo adding 4 by subtracting 4
formal gate
4x = 14
prisma gull
yes, now undo multiplication
formal gate
X = 7/2 ?
prisma gull
sure
formal gate
Is that the final answer of the question ?
prisma gull
What is the question asking you to find?
formal gate
X
prisma gull
and what have you found?
formal gate
X !!
prisma gull
Good job
formal gate
Cheers 👍
prisma gull
hf
formal gate
Do you mind helping with another question ?
prisma gull
Claim a new channel and post
crude lark
Find all angles and sides of a right triangle, knowing angle B and the sum of the cathetus (AB + AC)
crude lark
so far I have used pythagora's theorem, this way:
wraith daggerBOT
beautiful man
crude lark
i am stuck from this point
i thought maybe i can write b^2+c^2 as (b+c)^2 - 2bc
but sadly the product is not given
wraith daggerBOT
beautiful man
crude lark
<@&286206848099549185>
cedar kilnBOT
@crude lark Has your question been resolved?
verbal compass
Find all angles and sides of a right triangle, knowing angle B and the sum of th...
what are you given?
crude lark
i solved it
verbal compass
oh nvm
cedar kilnBOT
Available help channel!
ember geyser
how do i do this?
cedar kilnBOT
how do i do this?
strange mauve
!status
cedar kilnBOT
What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
2
strange mauve
!show
cedar kilnBOT
Show your work, and if possible, explain where you are stuck.
ember geyser
wait no 3 i mean sorry
ember geyser
-3x+18≥6
18≥6+3x
12≥3x
4≥x
strange mauve
Its correct
ember geyser
ah
i must have typed -4 on accident as thats what a help source had used an example of, sorry for the inconvenience
hollow garnet
Can someone help me get from the thing I underlined in blue to the one I drew the arrow to
cedar kilnBOT
hollow garnet
I think I'd have to group them somehow but I'm lost
cedar kilnBOT
cedar kilnBOT
Available help channel!
karmic vortex
Hello, excuse me
cedar kilnBOT
Hello, excuse me
worldly iron
.close
karmic vortex
.close
frigid quartz
V = span{(1, 1, 2), (1, 0, −1), (2, 3, 1)} What is the base and the dimention?
I can't understand something. For those 3 vectors to be the base, they all have to be linear independent.
How can i check that in a trivial way?
Shouldnt it be like this?
(Uploading pic)
proven thistle
Add equation 1 and 3
tropic oxide
can add equations #1 and #3 and get 3α + 3γ = 0
frigid quartz
it becomes alpha = gamma, right?
tropic oxide
no
tropic oxide
yes
frigid quartz
Doesn't that make them dependent?
frigid quartz
Let me draft something in a clean paper to show you
tropic oxide
put α = -γ into α + 3γ = 0 and you will get γ = 0 and from this the other two letters will also turn out as 0
frigid quartz
Yeah I was getting into that
Please give me a minute to show my result
I jumped a few steps since, I suppose that, knowing that alpha and gamma are 0, using the first equation with that information, beta will be 0 aswell
random veldt
cedar kilnBOT
primal socket
cedar kilnBOT
@random veldt Has your question been resolved?
random veldt
Not yet
cedar kilnBOT
@random veldt Has your question been resolved?
violet flume
I need to ask about using the fourier transform to solve the heat equation
violet flume
I'm working with $$\phi _t = \kappa \phi _{xx}$$
wraith daggerBOT
jan Niku
violet flume
I'm able to get this with forward transforms and integrating factor to $$\pdv \qty( \hat \phi e^{\kappa n^2 t} )$$ providing $$\hat \phi (t,n) = \hat \phi _0 (k) e^{-\kappa n^2 t}$$
wraith daggerBOT
jan Niku
violet flume
now I'm confused about the reverse. The thing I'm following says that we want some $S(x,t)$ such that $\mathscr F ^{-1} { \hat S(n,t) } = S$
wraith daggerBOT
jan Niku
violet flume
this by the definition of the fourier transform im using should mean $$S(x,t) = \frac{1}{2\pi} \int _{\bR} e^{-\kappa n^2 t}e^{-inx} \dd n$$
wraith daggerBOT
jan Niku
violet flume
I'm having a hard time with this integral is the hard part. Mainly, getting the same thing the guide says
we would just be able to complete the square, right?
so $\frac{1}{2 \pi} \int _{\bR} e^{ \qty(\sqrt{\kappa t} n + \frac{ix}{2\sqrt{\kappa t}} )^2 + \frac{x^2}{4\kappa t}} \dd n$
wraith daggerBOT
jan Niku
violet flume
using $\int _{\bR} e^{a(x+b)^2} \dd x = \sqrt{ \frac{\pi}{a} }$, shouldnt this be $$\frac{1}{2\pi} e^{ \frac{x^2}{4\kappa t} } \sqrt{ \frac{\pi}{\sqrt{\kappa t}}$$?
wraith daggerBOT
jan Niku
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)
cedar kilnBOT
@violet flume Has your question been resolved?
pastel surge
cedar kilnBOT
sly abyss
send your work
cedar kilnBOT
merry drift
<@&286206848099549185>
cedar kilnBOT
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Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.
pastel surge
.
merry drift
Ok
pastel surge
merry drift
Sorry
cedar kilnBOT
The original post of this help channel has been deleted, and it will abruptly close and possibly lock. (This is irreversible.) Please claim a new channel, and don't delete the first message of any future channel you claim.
obsidian coral
You're going to have to wait for this channel to fully close
pastel surge
ight
surreal cave
You're going to have to wait for this channel to fully close
nah you can open a new one iirc
obsidian coral
nah you can open a new one iirc
They can't open a new one if there were none available
surreal cave
there's no channels avaliable, damn funny asf ngl
surreal cave
Can i take anotehr one
cedar kilnBOT
Available help channel!
echo shuttle
Hello, would someone be able to explain this to me:
cedar kilnBOT
Hello, would someone be able to explain this to me:
echo shuttle
You buy a stove for $1500 on February 20. The store gives you 4 months “interest free”, after which you must pay the $1500. However, the store charges an administration fee of $50, to be paid today. What rate of simple interest, r, are you being charged for this “interest free” plan?
I know the answer but I dont know how it arrived at that. The answer is 10.49%
cedar kilnBOT
@echo shuttle Has your question been resolved?
fickle imp
how are these integrals solved differently?
cedar kilnBOT
how are these integrals solved differently?
fickle imp
i never knew the placement of dx mattered
flint plinth
wdym solved differently
in the second one, only 6x^5 is being integrated
the dx among other things is indicating "end of the integrand"
fickle imp
so everything before the dx is what we integrate?
flint plinth
yea generally
unless you're a physicist weirdo who writes the dx first haha
don't be that
fickle imp
so the first integral would be x^6 - 6x^3 + 7x + C
and the second integral would be
x^6 - 18x^2 + C ?
i lumped the constant 7 into C
or maybe we can just leave it as x^6 - 18x^2 + 7
obsidian coral
unless you're a physicist weirdo who writes the dx first haha
Me \s
flint plinth
so the first integral would be x^6 - 6x^3 + 7x + C
and the second integral woul...
yes
gritty viper
flint plinth
or maybe we can just leave it as x^6 - 18x^2 + 7
still should have a +C either way and yea, it's nice to lump the 7 in with the C
cedar kilnBOT
obsidian coral
thank you guys
You're welcome
inner quest
I can not use MCT or LDC
flint plinth
what's up with the limit in the first line, there's no n
inner quest
yeah its not correct let me reformat it 1 sec (FIXED QUESTION HERE*)
inner quest
what's up with the limit in the first line, there's no n
fixed now
flint plinth
ah that's better
are there any hypotheses for X, like is it a finite measure space for example
inner quest
no
Only thing I have shown is that u is also positive measurable and I have shown that \int_X u d\mu \leq 2023
and that \int_X u d\mu = 2023 if the sequence is increasing using Beppo levi
inner quest
are there any hypotheses for X, like is it a finite measure space for example
but (X,\mathcal{A},\mu) is just a mesaure space thats all the info
inner quest
are there any hypotheses for X, like is it a finite measure space for example
I was thinking the approach might be to sandwhich the integral as I already has that it is \leq 2023 but the limit of the integral of u_n is equal to 2023?
flint plinth
hmm, offhand maybe first show that it's true if X has finite measure, then see if you can somehow extend that to the general case. If X were sigma-finite you could use a sequence X_1, X_2, ... of measurable sets with finite measure whose union is X, but in the general case that won't work
you could try asking in #real-complex-analysis also
upbeat basin
bbbb
upbeat basin
why is roc at minor axis b/a^2 ... if a circle is lying below the curce then isnt roc -ve? and even by formula its coming out to be -ve
cedar kilnBOT
@upbeat basin Has your question been resolved?
cedar kilnBOT
@upbeat basin Has your question been resolved?
upbeat basin
<@&286206848099549185>
restive ibex
upbeat basin
why is roc at minor axis b/a^2 ... if a circle is lying below the curce then isn...
.
roc is radius of curvature
upbeat basin
<@&286206848099549185>
upbeat basin
<@&286206848099549185>
cedar kilnBOT
@upbeat basin Has your question been resolved?
upbeat basin
<@&286206848099549185>
cedar kilnBOT
@upbeat basin Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
wheat silo
Let's say I have
Ax=B, is it true that A^-1*Ax = A^-1*B => x = A^-1*B
In general, is A^-1*A = I?
visual basin
how do i solve this question?
cedar kilnBOT
how do i solve this question?
tropic oxide
image on its way?
tropic oxide
!status
cedar kilnBOT
What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
yes you do
visual basin
but i'm not sure which one
tropic oxide
well you might as well start by writing out the equation for its position wrt time
like
$x(t) = x_0 + v_0t - \frac{1}{2}at^2$
wraith daggerBOT
Ann
tropic oxide
and also $v(t) = v_0 - at$ while we're at it?
wraith daggerBOT
Ann
tropic oxide
like ok there is probably a pre-derived one
but i don't remember it off the top of my head
visual basin
v_0 is initial velocity, and x_0 is initial distance, right?
v(f)²=v(i)²+2ad
24²=2ad
a=576/38.4
a=-15ms⁻²
thanks
what about this one?
i think i might need simultaneous equations
but i'm not sure how to implement it
@tropic oxide
tropic oxide
you don't really need simultaneous equations here
you can find the rate at which A catches up to B
visual basin
you mean something like 340/280?
tropic oxide
no
if you run at 5 km/h and i run at 8 km/h at what rate would i be catching up to you
visual basin
3.5 hours
at the speed of aircraft b, 3.5 hours covers 980 NM
ok
thanks
i have 1 more
@tropic oxide
tropic oxide
too tired for this shit sry
onyx dove
ideal gas law yes?
onyx dove
then what's the problem
visual basin
i haven't studied it
not that i was too lazy to study or anything, i was just never taught it to begin with
onyx dove
but you're supposed to know it for whatever this is for?
wraith daggerBOT
chlamydia
visual basin
i'd imagine p is pressure and v is volume
onyx dove
yes
visual basin
r seems like a constant
onyx dove
T in kelvin
onyx dove
for mols
visual basin
mols are a measure of the amount of a substance, right?
sorry, i don't do chemistry
onyx dove
yeah constant n and V
visual basin
wait
i don't need to know n, do i?
onyx dove
so they're not needed
visual basin
yeah
so oneside changes exactly as much as the other side
i know that 22c in kelvin would be 295.15
stark ocean
visual basin
p increases by a factor of 2/3
so T would also increase by the same amount, right?
onyx dove
yeah
visual basin
so it's about 494k?
huh
492
close enough
especially since i can't even use a calculator for this exam
on the bright side, it's only MCQs
cedar kilnBOT
@visual basin Has your question been resolved?
prisma gull
cedar kilnBOT
prisma gull
Can you check if the proof is correct
as well as help me with proper way to write it
wraith daggerBOT
Ann
tropic oxide
other than that it seems fine.
prisma gull
Is the scrarch work written in proof side?
I feel like we do scratch work backwards in proof
crimson delta
I would make it more explicit where you are using the triangle inequality
you should get used to writing a chain of inequalities, instead of inequality implies inequality implies inequality
and the proof should start with "let epsilon>0 be given"
prisma gull
you should get used to writing a chain of inequalities, instead of inequality im...
can you elaborate a bit?
crimson delta
|an+bn-a-b|<=|an-a|+|bn-b|<eps/2+eps/2=eps
prisma gull
I see
prisma gull
and the proof should start with "let epsilon>0 be given"
This arbitrary choice of epsilon is for the sequence (an+bn) right?
crimson delta
yes
prisma gull
I’m making use of things I’m guaranteed from other two convergence
crimson delta
in general, any symbol you use in the proof also has to be introduced somewhere
prisma gull
right
my epsilon came out of the blue
Thanks for pointing it out
Essentially the choice we take from the definition of convergence of (bn) is after we fix epsilion for (an+bn) right?
i think that’s what you mean
crimson delta
yes
for an+bn you have to show it for any epsilon
for bn you can use it for any epsilon
which you do for epsilon/2
crimson delta
u2
prisma gull
.close
olive olive
cedar kilnBOT
olive olive
i did part (a) and (b) but need help on (c). i feel like its true but im not sure how to explain it
crimson delta
still try explaining
olive olive
like for any bounded function where n exists, it is strictly bounded under k = n + 1
similarly, for any strictly bounded function where k exists, it is also bounded under n = k
i dont feel like this is "valid"
crimson delta
it is
civic coral
**Ann**
Given there’s 9 balls in a bag, in which 2 of these 9 balls are named number 2, 3 of them are number 3, and 4 of them are number 4. Now we pick 3 balls from the bag, what is the expected value of the number sum?
civic coral
This question is quite time-consuming.
If you list out all of the possibilities for the numbers of these 3 chosen balls.
However,
My textbook mentiond that the EV would equal to the EV with just one pick from the bag multiplied by 3
And that sounds like a cap to me
I wonder how the clever trick works
civic coral
Do you put the ball you picked back?
once a ball is taken, we do not put it back
muted bear
The book is wrong
civic coral
The book is wrong
but it is true
muted bear
Oh it is?
civic coral
it is
civic coral
Instinct told me otherwise
same when i first seen that trick
muted bear
!original please
cedar kilnBOT
Please show the original problem, exactly as it was stated to you. A picture or screenshot is best.
If the original problem is not in English, then post it anyway! The additional context might still help helpers help you. Do your best to translate.
muted bear
Still thinking about it, but i just want to be sure
civic coral
it is not being written in English, but i will send it tho
sacred grail
the book is right
civic coral
