onyx sand
the answer should be 9arctan(9x)
#help-36
supple mantle
Yeah it has to be (9x)^2
supple mantle
Yep
cerulean relic
Say we throw two fair die simultaneously, we keep on throwing until both die show the same number. We are interested in how many times we must throw until the die show the same number. The sample space of this experiment is $\Omega = {1, 2, 3, 4, .....} = \mathbb{N}$. What is the event space $\Euscript{F}$? Is it the power set or something else?
final saddleBOT
Say we throw two fair die simultaneously, we keep on throwing until both die sho...
soft zealotBOT
O2daP
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
final saddleBOT
@cerulean relic Has your question been resolved?
dusk pecan
final saddleBOT
dusk pecan
Hi can someone help me with b)
ocean lintel
Also do a piecewise function
ocean lintel
Oh course, it's N -> Z
wild venture
final saddleBOT
wild venture
How to solve this differential equation?
Just the general mrthod no need to do the calculation. Or if someone knows how to find a solution id be grateful
,w solve (1-t)^2y''-ty'+y=0 for t in (-1,1)
soft zealotBOT
wild venture
.close
viral shoal
P(X >= 2) = 2/3 P(X <= 2) find lambda of X ~ EXP(lambda)
final saddleBOT
P(X >= 2) = 2/3 P(X <= 2) find lambda of X ~ EXP(lambda)
final saddleBOT
@viral shoal Has your question been resolved?
viral shoal
<@&286206848099549185>
viral shoal
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tranquil pine
I have no idea on how to do this
final saddleBOT
I have no idea on how to do this
rain compass
did you graph them?
tranquil pine
how do I
I was never taught how to graph circles yet
its in my next geometry class
but i wanna be ahead
last acorn
ok
so
circles have equations
(x-a)² + (y-b)² = r²
where (a,b) is the coordinate of the center of the circle
and r the radius
supple mantle
rain compass
consider plugging the equations into desmos
rain compass
(x-a)² + (y-b)² = r²
it seems like they're not supposed to know this yet but meant to figure it out pictorially
final saddleBOT
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Available help channel!
tame karma
is this function integrable over [0,1]? i tried using the riemann criterion but didnt get anywhere
final saddleBOT
is this function integrable over [0,1]? i tried using the riemann criterion but ...
tame karma
$f(x) = \begin{cases} x\ x\in\bQ\ -x\ x\in \bR\setminus\bQ\end{cases}$
soft zealotBOT
CoolShot
neon wadi
I think it's reasonable to guess that it is not Riemann integrable for the same reason the indicator function of the rationals is not
final saddleBOT
@tame karma Has your question been resolved?
neon wadi
It will be discontinuous at every irrational point as by the construction of the real numbers we can pick a sequence of rational numbers approaching that irrational number, and this shows that f is not continuous in any irrational point. As it is discontiuous on a set of positive measure, it can't be Riemann integrable. It is Lebesgue integrable with Lebesgue integral -1/2 as f(x)=-x a.e.
final saddleBOT
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eager stirrup
is there a hint for this i could use?
final saddleBOT
is there a hint for this i could use?
eager stirrup
when does the game end as well?
earnest temple
presumably the game ends when there's only one pile, since at that point there are no more moves
eager stirrup
presumably the game ends when there's only one pile, since at that point there a...
i see. do you have a hint?
that you could possibly give
final saddleBOT
@eager stirrup Has your question been resolved?
eager stirrup
<@&286206848099549185>
tranquil pine
Hmm
eager stirrup
ill try to start with 10 piles
eager stirrup
so i think the first player player will win
since i assume optimal play means that each player adds the largest amount that is possible to make
.close
empty plaza
Help
empty plaza
final saddleBOT
@empty plaza Has your question been resolved?
empty plaza
<@&286206848099549185>
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@empty plaza Has your question been resolved?
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@empty plaza Has your question been resolved?
empty plaza
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tranquil pine
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tranquil pine
Quick question why is it that they choose the angle in blue instead of the angle in red
Wouldn't it be the same answer?
wait wait wait
nvm
.close
final saddleBOT
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Available help channel!
oak kraken
why does e^x remain the same with infinite derivatives?
final saddleBOT
why does e^x remain the same with infinite derivatives?
amber holly
By definition
gritty solar
3B1B has an excellent video on this
oak kraken
OK
rancid prairie
actually if you check its graph and calculate the derivative of each point it comes out to be e^x
amber holly
There are several definitions
oak kraken
amber holly
But one of them defined e to be a number such that d/dx (e^x) = e^x
amber holly
this one? https://www.youtube.com/watch?v=m2MIpDrF7Es
Yes
oak kraken
OK
gritty solar
Generally the rate of change of an exponential is proportional to itself, and for the base e, this proportionality constant equals 1
amber holly
That video covers the definition I mentioned
oak kraken
gritty solar
Ikr
fresh star
@oak kraken
first principles
shows you that youll get e^x
its no different than x^2 going to 2x. or sin(x) going to cos(x)
amber holly
(Note: Another definition of e says that it is the limit of (1 + h)^(1/h) as h -> 0, although the limit is usually written as (1 + 1/x)^x as x -> infinity)
fresh star
who uses the infinity version, its kinda impractical
amber holly
Right
gritty solar
who uses the infinity version, its kinda impractical
I think that's how Euler first discovered it
And it has something to do with interest
There's a Numberphile video on it I think
final saddleBOT
@oak kraken Has your question been resolved?
feral veldt
Got a question about set theory, if I'm asked to give the intersection between 2 relations it's asking me to give the elements that are in both relations and not the pairs that are in both right?
final saddleBOT
Got a question about set theory, if I'm asked to give the intersection between 2...
nocturne peak
so lets say you have to sets A and B
A = {1,2,3,4,5,6}
B = {2,4,6}
and you want the intersection
$A \cap B$
soft zealotBOT
barış
nocturne peak
lets call this C
C contains all elements that are both in A and at the same time in B
does that answer your question ?
so in this case it would be C = {2,4,6}
feral veldt
sorry I think I misphrased my question, let me write down an example
nocturne peak
sure
feral veldt
for example if I have
N = {1; 2; 3; 4}
R ⊂ N × N, R = {(1, 2); (2, 4)}
S ⊂ N × N, S = {(1, 2); (3, 4); (4, 4)}
and now I want the intersection of R and S
would it be for example K = {1, 2, 3, 4}?
or K = {(1, 2)}
nocturne peak
from my understanding you would wanna select the pairs
since R and S are binary relations
but I might be wrong
worldly vale
Yeah you never change the "type" of the elements when taking an intersection
feral veldt
so K = {(1, 2)} would be correct right?
feral veldt
okay thanks :)
nocturne peak
nw
feral veldt
.close
tranquil pine
Prove that the medians of a triangle are concurrent?
tranquil pine
tulip coyote
tranquil pine
final saddleBOT
@tranquil pine Has your question been resolved?
final saddleBOT
@tranquil pine Has your question been resolved?
carmine plaza
How do you solve a continuous exponential thing like
5^5^5^5^5
final saddleBOT
How do you solve a continuous exponential thing like
5^5^5^5^5
amber holly
Are you curious about the order of operations here?
final saddleBOT
@carmine plaza Has your question been resolved?
midnight sparrow
can someone gives me a hint on this : find all couples (a; b) of strictly positive integers that satisfy the equation : $a^{b^{2}} = b^{a}$
final saddleBOT
can someone gives me a hint on this : find all couples (a; b) of strictly posit...
soft zealotBOT
phoestaclies
final saddleBOT
@midnight sparrow Has your question been resolved?
final saddleBOT
@midnight sparrow Has your question been resolved?
midnight sparrow
<@&286206848099549185>
final saddleBOT
@midnight sparrow Has your question been resolved?
loud sundial
midnight sparrow
I didn't want the answer, but that should do the trick, I will look at partial solution ty
.close
modern sail
How do I find the zero of a quadratic function
final saddleBOT
How do I find the zero of a quadratic function
modern sail
Specifically f(x)=-4x^2-4x+24
modern sail
Yeah, but I haven’t learned it
oak kraken
final saddleBOT
oak kraken
I'm using Product Rule, for the second line
why do I need to differentiate twice for the third line? and add another (4) to the end?
magic sparrow
because what is the derivative of f(g(x))
in this case you have g(x)=4x+5 and f(x)=x^4
oak kraken
oh, I see, I'm skipping a step, that's why I think I'm doing it twice
magic sparrow
so f'(g(x)) * g'(x)
oak kraken
I should really write it out as inside, outside d/dx
that will help me to see what's going on
instead of doing two d/dx on the same line
hybrid heath
The practice will all pay off one day
I expect to see avidrunner written in green one day
final saddleBOT
@oak kraken Has your question been resolved?
tranquil pine
How do I selected the correct interval for each integral?
final saddleBOT
How do I selected the correct interval for each integral?
tranquil pine
The integral of that is 1/4(x)^4-1/2(x)^2
What do you mean equation? The function is there and the norm is what needs to be calculated
worldly vale
What's f(x)?
tranquil pine
That’s a typo, that f(x) should be a p(x)
worldly vale
Okay, you need to figure out when f(x) is positive and when it is negative inside [-3,5]
tranquil pine
Is it positive when it gives a result of 0?
From bounds 5 to -1 the result is positive, then from -2 to -3 it gives negative values
Since it goes negative as seen in the graph, the abs value acts on that integral and the result will be positive ?
tranquil pine
Okay, you need to figure out when f(x) is positive and when it is negative insid...
What did you get?
worldly vale
Is it positive when it gives a result of 0?
Those are the roots
vital crag
What did you get?
this isn't a collaboration server. shouldn't really expect people to do your work for you
carmine plaza
Are you curious about the order of operations here?
Yes
😂
Sry I'm still in this channel whoops
this is awkward
could someone quickly explain that to me
or i can go in a separate help channel again sry for inconvenience
final saddleBOT
@tranquil pine Has your question been resolved?
clever jetty
I’m not exactly sure how to start off, is it asking for the degree?
I thought originally thought that it was asking what the x intercept was but it’s asking how many it has and I’m not knowing how to execute it.
Do I find the y intercept first? I did that I think and I got 0 out of that. I just plugged in 0 for x and got 0 for the y intercept.
Would I now put 0 where f(x) is and try to solve from there?
clever jetty
This is what I’ve done so far
feral terrace
so x-intercepts are where y=0, and so you would set your expression equal to 0
f(x) is just another way of saying y, so another way to write the problem is y = -5x^2 (x^2 - 3)
clever jetty
So like this?
feral terrace
mm i suggest that you leave it in the first form, it will be easier
clever jetty
Ok
feral terrace
when you have two things multiplied together and they equal to zero, do you agree one of them must be equal to zero?
right now, you have 0 = (-5x^2)(x^2-3)
clever jetty
right now, you have 0 = (-5x^2)(x^2-3)
Wouldn’t they just need to subtract to 0?
empty steppe
Can you answer it for me?
feral terrace
in the problem, they are being multiplied to each other
don't be confused by the negative sign in front of 5x^2
clever jetty
Okay so one of them just needs to equal 0
feral terrace
@empty steppe please open your own help forum
clever jetty
Because any number times 0 is 0
feral terrace
yes!
empty steppe
How @feral terrace
feral terrace
so individually, set each of them equal to 0 and then you get the x-intercepts
feral terrace
why is there a square root?
clever jetty
Cause the x’s are squared
feral terrace
when you set each of them equal to zero, you don't have to square root them
it would simply be -5x^2=0
clever jetty
Ooooh ok
feral terrace
yup, don't forget plus and minus sqrt of 3
when you square root a number, it's always plus and minus
clever jetty
Ooooh okay
So in total there’s 2 x intercepts which are 0 and square root of positive 3
feral terrace
close, let me clarify what i mean by plus and minus
clever jetty
Oh ok
feral terrace
that means that your intercepts are 0, +sqrt(3), -sqrt(3)
clever jetty
Wait why are there now three
feral terrace
when you square root the 3, you have to account for the negative and positive
clever jetty
So it would be like this instead?
clever jetty
Oooog okay awesome that makes so much sense
feral terrace
mmhm
clever jetty
So the answer would be three x intercepts, 0, -sqrt3, and +sqrt 3
feral terrace
yes!
wild depot
Hello, could anyone please help me solve this problem, (b only) Thanks.
magic gyro
maybe it would help to find the area of the top face first
final saddleBOT
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wild depot
.close
high kelp
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high kelp
how do i know which trig substitution to use?
i know that sqrt(a^2+x^2) is let x = atan(theta)
but in my problem it's sqrt(x^2+a^2)
would it still be the same one?
i guess i do
craggy plume
let me have a look
high kelp
but now i'm stuck
craggy plume
pretty sure you just need to use tan^2 + 1 = sec^2
high kelp
i dont know how to simplify from there
i could pull the constant 19/9 out of the integral?
craggy plume
i'm a little unsure why you've just got your 19 on your numerator
high kelp
craggy plume
why'd this go to +3 in the sqrt?
high kelp
oh bc
my sub is let x=atan(theta)
i replace x with that
and x=3tan(theta) in my original integral
but i'm not sure if i'm right on that part
craggy plume
you are but the reason you choose 3 as your a is because of what happens in the sqrt
high kelp
whered ur 19 go?
craggy plume
take it out
its a constant
this is all 19* the integral
and the 19 has no bearing on what we choose
high kelp
confused how u got +9 in the sqrt
high kelp
wait i did an error
craggy plume
the +9 stays
craggy plume
thats what i figured
high kelp
i seee now
craggy plume
but wasn't 100%
high kelp
and now my sqrt just becomes
craggy plume
if you ignore that though the logic is very close to where we are
what do we want a^2tan^2(theta) + 9 to turn into?
to easily cancel out the sqrt
craggy plume
we can use a trig identity to make a^2tan^2(theta) + 9 just (something)^squared
which will just evaluate to (something) after we sqrt it
craggy plume
high kelp
multiply by
craggy plume
which cancels out nicely
high kelp
9
yeah
i pulled out my constants (a)tho
so i can just directly plug in the identity?
high kelp
here
craggy plume
this is all i did to get to what i showed you
with a = 3 you'd get uhh
which should be a known integral?
oh, sorry
that turns into sec not sec^2
just a sec
wow, i'm rushing through steps a bit
high kelp
ohhh
craggy plume
i think the idea of this question is
'what substitution would help me break through the square root simply?'
and as shown, a=3 and tan let you use that sec identity
to solve it from where i got you'd just do another substitution
high kelp
to solve it from where i got you'd just do another substitution
I GOT IT
now watch me forget all of this within the next 10mins 😄
then from here i'd use soh cah toa?
to convert theta into x ?
high kelp
ya if we simplify by 3
high kelp
i removed the 3 as a constant
craggy plume
well despite that one line having a weird fraciton yeah sure 57/27 = 19/9
oh you just
didnt do it all at once
okay sure
craggy plume
that aside
high kelp
craggy plume
unfortunately you cant really go anywhere from there
high kelp
hmmm
craggy plume
i'll give you a hint
craggy plume
what happens to sin when we differentiate it
craggy plume
thats integration
high kelp
o sorry
craggy plume
differentiation would just be d/dx(sinx) = cosx
high kelp
cos(u)/u^2 du
craggy plume
=> du = 1/cos(u) * dx
high kelp
=> du = 1/cos(u) * dx
integral of 1/u^2 du
high kelp
u^(-2)du
craggy plume
=> integrates to -u^(-1) = -1/u
= -1/sin(x)
high kelp
19/9 * -(1/u^1)
craggy plume
well forget the constant for now
the idea is 'using substitution, we can solve the integration of cosx/sin^2(x)
so we can apply this within our original substitution
high kelp
to get it in terms of x right
craggy plume
theta = arctan(x/3)
sin (arctan(x/3))
which has a known idetntiy iirc
or rather sin(arctan(x)) does
craggy plume
its been a while since ive used a method that wasnt known values
lmk what you get with that method
high kelp
(-19sqrt(9+x^2))/9x
@craggy plume
+c
o.o
@craggy plume tysm for the help!!!
and for being patient w me
craggy plume
👍 nw
high kelp
these problems scare me
craggy plume
not too used with evaluating arctans and such so you got me beat there and all lol
high kelp
lmao the prof showed us
craggy plume
this question required pretty abstract applications of substitution
craggy plume
also yeah its one of the only times ived subbed within a sub lmao
try and make sure you really get why you do especially that trig sub
and how to spot similar subs in the future
high kelp
how did u instantly recongize it was a u sub?
i didnt really catch it until u mentioned it
craggy plume
for this one,
idea: it would be beneficial if this was just -one- trig function
can you get rid of 'cosx'?
yes, u=sinx means we divide by cosx during the substitution
is my mental process
craggy plume
idea: it would be beneficial if this was just -one- trig function
this is because if this is just one trig function of any power
high kelp
ohhh i see
craggy plume
we can just do the u substitution
high kelp
so u worked the math in advance
and saw that derv of sin is cos
meaning u can u sub to cancel it out
craggy plume
yes
high kelp
that makes sense
craggy plume
that is how you pick a good substitution
see how it affects the dx when you sub in du
and try and pick a u that simplifies your expression down
it does just like
take an annoying amount of practice though
craggy plume
calc does kind of suck 💀
craggy plume
at least you're asking for help in the right places
wish you good luck, im gonna head off for now and stare at my own math ☠️
final saddleBOT
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Available help channel!
golden birch
this triangle contains 6 cyclic quadrilaterals
final saddleBOT
this triangle contains 6 cyclic quadrilaterals
midnight sparrow
H is the orthocenter here ?
midnight sparrow
If it is you have a lots of right angle
golden birch
yea
but i think there are only 3 cyclic quadrilaterals which contain H as vertex
and for example
midnight sparrow
So do you know some properties with right angle and cocyclique points
golden birch
not really
or maybe
not sure
wait ill look it up what that is
and tell you if i know
golden birch
ah yes
midnight sparrow
and show your work after 🙂
golden birch
since HDC = HEC = 90
midnight sparrow
ok and so what can we conclude about points HDCE
golden birch
i was only able to find BDEH and CDEH and AEFH
that it is a cyclic one since 2 sites are 90°
which are not next to each other
midnight sparrow
yes
golden birch
there are six cyclic quadrilaterals with vertices in
{A, B, C, D, E, F, H}.
forgot to mention this with the vertices
midnight sparrow
ok we can use this right angle in a different way
do you see something with AEB and ADB
midnight sparrow
like we have the right angle in E and D but what is the hypothenuse
midnight sparrow
yes sorry my english's bad too
golden birch
for E
midnight sparrow
t ?
golden birch
AB or AH?
midnight sparrow
yes for AB but no for AH
do you see the two right triangle
what is their name
golden birch
do you mean AEB and ABD?
midnight sparrow
yes this are the right triangles, so what is their hypothenuse
midnight sparrow
ok so they have AB in common, can we conclude something
golden birch
AB has to be a side of the quadrilateral then ?
midnight sparrow
yes, we can also say that AB is the diameter of a circle in which E and D pass
golden birch
oh
midnight sparrow
so A,B,D and E are cocyclique
midnight sparrow
yes it's the same properties as before
golden birch
since they both lay on the same circle
midnight sparrow
but before the two triangles were opposite on the diameter
here it's on the same arc
golden birch
ah
ah
so if i have 2 right triangles with the same hypotenuse, the quadrilateral of the 4 points is cyclic right?
midnight sparrow
not here @edgy path
midnight sparrow
if you want to get help go to another channel
edgy path
eu não tenho um canal para matematica
edgy path
not here <@940400159186100234>
você fala portugues?
midnight sparrow
golden birch
so if i have 2 right triangles with the same hypotenuse, the quadrilateral of th...
is the third angle even important when having 2 triangles which share one side
midnight sparrow
<@&268886789983436800>
edgy path
whats happened
midnight sparrow
don't understand pls talk in english
or go in another channel, read the #❓how-to-get-help
edgy path
don't understand pls talk in english
i don't speak English
golden birch
is the third angle even important when having 2 triangles which share one side
because they should still be colinearif they have the same angle and share one side
like
midnight sparrow
sorry Affe
edgy path
10$ Questions
golden birch
you did nothing wrong
edgy path
ué mano
midnight sparrow
is the third angle even important when having 2 triangles which share one side
what do you mean by this
golden birch
what do you mean by this
one sec
edgy path
A hipótese de Riemann foi proposta pela primeira vez por Bernhard Riemann em 1859. A teoria afirma que a distribuição de números primos não é aleatória (como é classificada), mas pode seguir um padrão descrito por uma equação chamada "função zeta de Riemann".
midnight sparrow
<@&268886789983436800>
edgy path
Is it mandatory to speak in English?
midnight sparrow
I don't know what he wants, don't want to talk or read the #❓how-to-get-help
edgy path
40(8 ÷ 6633! × 5^555)
respost account
edgy path
I don't know what he wants, don't want to talk or read the <#488120190538743810>
é claro não sabe portugues
se soubesse falaria
midnight sparrow
yes it's that
golden birch
oh ok ty
edgy path
yes it's that
oque = what??
golden birch
❤️
edgy path
eu estou perguntando como faz os calculos = I'm asking how to do the calculations
oi como você esta? = Hi how are you
Aula de portugues para você = Portuguese class for you
aprendeu?
midnight sparrow
don't know where is the moderators but please come 
golden birch
i don't speak English
edgy path
............
edgy path
false or true?
midnight sparrow
use .close if you have finished
edgy path
i don't speak english
golden birch
.close
final saddleBOT
edgy path
account
edgy path
final saddleBOT
Available help channel!
edgy path
i really work, but i'm taking english classes in los angeles
final saddleBOT
i really work, but i'm taking english classes in los angeles
edgy path
aeee
ativict
I'm taking classes and working in the studio, don't blame me for not learning English since I was a child.
and series That Girly lay lay, Danger force
final saddleBOT
@edgy path Has your question been resolved?
edgy path
<@940400159186100234> Has your question been resolved?
yes
tranquil pine
final saddleBOT
tranquil pine
Send your work
I got the same thing as the top, but on the denominator I got $1-2^yxyln2$
No
Show your work
soft zealotBOT
oak kraken
final saddleBOT
oak kraken
when you see log_a(b), do you automatically visualize it as an exponent? full stop
tired walrus
not with such an absolutist attitude you don't.
oak kraken
it doesn't matter what the log base is (aside from 1 or 0), or what the log argument is (aside from negatives and 0)
oak kraken
not with such an absolutist attitude you don't.
but it literally equals x, which means it's the exponent, doesn't it?
tired walrus
you think there is something sacred about the letter x...?
oak kraken
like an exponent turned inside out, kinda?
oak kraken
you think there is something sacred about the letter x...?
wdym?
tired walrus
you bring up the x in log_a(b) = x as if it holds some kind of sacred meaning which you consider a trigger to Visualize The Logarithm As An Exponent, Full Stop™️
ruby bramble
what are you even trying to show here?
tired walrus
so there is in fact no sacred meaning to the letter x specifically, despite your claim.
you are being inconsistent here.
oak kraken
just trying to get a feel for how to visualize logs, whenever they come up in weird places
oak kraken
you are being inconsistent here.
how so? with the letter x being a variable? x could be c, or d too
tired walrus
no, i meant that you could not give a consistent answer to whether there was something sacred about the letter x.
oak kraken
isn't that the idea of a variable? it can hold any value
tired walrus
which you first made it seem like there was, but then it wasn't.
oak kraken
I don't follow?
tired walrus
i tried to ask you: is there something sacred about the letter x? [as opposed to any other letter]
you said yes
oak kraken
should I have written it
log_a(b) = c?
tired walrus
and then, in the same breath, said "it doesn't need to be x"
tired walrus
should I have written it
`log_a(b) = c`?
i don't give half a shit how you write it.
oak kraken
you said yes
when?
ruby bramble
just trying to get a feel for how to visualize logs, whenever they come up in we...
could you give an example of the weird place
tired walrus
when?
this one of your overthinking trains again?
log_a(b) is log_a(b).
if you want to "visualize" it, you could think of it as the answer to "a to what power gives b?"
which can help put some log laws on solid ground.
oak kraken
"yes" is only one word, from everything else that I wrote afterwards
oak kraken
could you give an example of the weird place
x^log_a(b), sin(log_a(b)), f'(x) = arcsin(log_a(b))
tired walrus
okay, whatever, neither you nor i want to pursue that line of interrogation further.
tired walrus
x^log_a(b), sin(log_a(b)), f'(x) = arcsin(log_a(b))
there are no enlightening visuals for most of these.
maybe if you gave us some actual problems you've encountered we could see what can be done with those
but it is probably a matter of symbol-pushing more than it is a matter of any visuals
oak kraken
worldly vale
Should we always view "2" as an exponent because it appears as an exponent in 2² = 4?
oak kraken
Should we always view "2" as an exponent because it appears as an exponent in 2²...
I think so? If referring to ^2
ruby bramble
simplify lhs using properties of log
worldly vale
I think so? If referring to ^2
That's a huge if
oak kraken
the superscript is the exponent
tired walrus
yeah, ok, those don't sound like "weird" places, but this also looks like something that doesn't require any fancy "visual" shit to comprehend.
tranquil pine
those are decent questions
oak kraken
I am getting crapped on right now haha
tranquil pine
it tests ur knowledge on logs and exponents
ruby bramble
u do know properties of log right?
oak kraken
worldly vale
log_a(b) is log_a(b).
if you want to "visualize" it, you could think of it as _t...
I think this is all you need to be thinking about really avid
tired walrus
I am getting crapped on right now haha
as you have on multiple occasions here, then.
ruby bramble
log a + log b = log ab
log a - log b = log a/b
oak kraken
log a + log b = log ab
log a - log b = log a/b
Like this?
Now I just find, 3 to the 3rd power equals (3x/x^5)?
tired walrus
no, you were actually on the right track.
oak kraken
so 3x/x^5 has to equal 27?
tired walrus
ah, no.
ruby bramble
yes
tired walrus
so 3x/x^5 has to equal 27?
3^3 isn't 9.
oak kraken
I mean 27
tired walrus
oh yeah
so every time you say 9 we should be treating that as 27
i wonder if that also applies to you saying 8+1 or something
ruby bramble
so 1/x^4 = 3^2
tired walrus
well, you're taking a bit of a roundabout route.
for one, you're for some reason refusing to simplify x/x^5 into x^4.
for two, you're for some reason refusing to divide out by 3 to have less numbers to deal with.
and for three, you're for some reason refusing to put a stroke through your sevens like normal people do.
oak kraken
for one, you're for some reason refusing to simplify x/x^5 into x^4.
that would probably help me solve it
ruby bramble
I feel like I am doing this wrong
youre not
oak kraken
and for three, you're for some reason refusing to put a stroke through your seve...
lol i never see it written like this
tranquil pine
for one, you're for some reason refusing to simplify x/x^5 into x^4.
x^-4??
tranquil pine
ok np
tired walrus
lol i never see it written like this
well you should be writing it like this anyway, it's the right way
that sad little hook of yours is very easy to mistake for a 1.
tranquil pine
and for three, you're for some reason refusing to put a stroke through your seve...
i never put a stoke through my sevens :(
ruby bramble
and for three, you're for some reason refusing to put a stroke through your seve...
thats ugly
ruby bramble
could I divide 3x on both sides?
yes...
tired walrus
thats ugly
taste issue
ruby bramble
draw a straight line for 1
tranquil pine
i dunno if I would mistake this for a 21
My 1 looks like |
tired walrus
straight line for 1?
ruby bramble
yes
tranquil pine
yes
tired walrus
y'all gonna suffer with absolute value bars.
ruby bramble
|
oak kraken
the top of the 7 could be more straight instead of sloped
ruby bramble
i make them much taller
tranquil pine
y'all gonna suffer with absolute value bars.
my absolute value bars are massive
oak kraken
I do my ones with a very small hook at the top, usually
tranquil pine
and I switch to the normal 1 when I do absolute values anyways
tired walrus
sevens should still be crossed imo
ruby bramble
na
tranquil pine
I would rather do this tbh
tranquil pine
aside from computers, do you see anybody write 0 with the slash?
no one does that
neat prawn
aside from computers, do you see anybody write 0 with the slash?
nah, you would confuse that with theta or phi, I guess
oak kraken
0 with slash feels too similar to theta
tired walrus
aside from computers, do you see anybody write 0 with the slash?
i write it with the slash sometimes
tranquil pine
nah, you would confuse that with theta or phi, I guess
this
tired walrus
the correct way to write phi is $\varphi$
soft zealotBOT
Ann
ruby bramble
aside from computers, do you see anybody write 0 with the slash?
theta
tired walrus
and for $\theta$ you should have the line go clearly as a horizontal
soft zealotBOT
Ann
tranquil pine
$\phi$
soft zealotBOT
oak kraken
but 0 and O can get confused sometimes, without the slash
1 and | as well... and l
tired walrus
the what now
neat prawn
and for $\theta$ you should have the line go clearly as a horizontal
I mean, sure, but no one really pays that much attention when solving questions lol, so doesn't matter as long as the solver can distinguish between the symbols
tired walrus
no, the symbol for partial derivatives is $\partial$
soft zealotBOT
Ann
tired walrus
I mean, sure, but no one really pays that much attention when solving questions ...
yeah but i have Opinions™️
tranquil pine
oh they look similar
tired walrus
do they now
tranquil pine
yeah
tired walrus
they look nothing alike in my book
one goes below the baseline while the other goes above
i guess they both have a loopy part but thats about it...?
oak kraken
lmao this got way off the rails from the comment about 7 could use a slash. i think I will just make a point to make sure my 7 has a straight line at the top
tired walrus
∂ is basically lowercase russian д, or one of the two ways of handwriting it that is common
tranquil pine
lmao this got way off the rails from the comment about 7 could use a slash. i t...
do this to be safe
neat prawn
this is bad
oak kraken
tired walrus
i also think the best way to write nines is from the bottom upward, perhaps starting a little bit below the baseline for extra flair, but i'm not that particular on that one, only enough to write them that way myself.
oak kraken
I almost always write from the bottom to the top, people comment on it, abnormal but they say they also like it
neat prawn
i also think the best way to write nines is from the bottom upward, perhaps star...
Nah, that's the absolute worse when doing physics stuff, often gets confused with g
tired walrus
how the hell do you write g that it gets confused with that
oak kraken
I think my favourite for really really good writing is Krista King
oak kraken
I'm not sure what writing software she is using, but the lines are always so clean
https://youtu.be/T-J7SkiE39Y
neat prawn
I don't always pay that much attention to detail when writing a nine .... sometimes my 9 gets more curled up
tired walrus
one particularly bad sin i've seen people commit handwriting-wise is drawing 8 as two circles superposed.
oak kraken
professors can be particularly bad with this one. is it a 9 or a g?
tired walrus
that's a 9, followed by two g's.
written once with the self-intersection and once without.
oak kraken
but when they write it I have no clue
tired walrus
well, at least i have the luxury of having graph paper and a clear baseline to follow lmao
oak kraken
hopefully I can get to that level of mastery, writing very good, with or without lines, perfect legibility every time, Krista King is the best imo
because this is just torture...
I don't even know why they upload this crap
can't see shit
neat prawn
that's good handwriting
neat prawn
this much amount of beauty was not supposed to exist in our dimension
Is that a gamma(x), can't really understand, horrible resolution/handwriting
sharp estuary
final saddleBOT
dry light
Post-work clarity?
sharp estuary
I got the average by .25×50+.15×80+.05×200 =34.5
sharp estuary
Post-work clarity?
What?
dry light
Nvm
sharp estuary
They want √(s^2)
And i thought u just do √(50-34.5)^2×0.25+(80-34.5)^2×0.15+(200-34.5)^2×0.05)
But wrong answer (41.71)
@dry light dont give me a cryptic question and then leave :c
dry light
I thought you did your work and realized your mistake, when I saw the "oh"
I also legit have to go rn
uncut mulch
You forgot to include the 55% of getting 0€
sharp estuary
34.5 is the right mean ?
uncut mulch
Yes
sharp estuary
You forgot to include the 55% of getting 0€
Then answer is 26.38
Did i misscalculate?
sharp estuary
We r only allowes to use one line calculators
uncut mulch
Is this for a test?
sharp estuary
Yea i train w the shit calculator
uncut mulch
I'm sorry, but we're not allowed to give out help for tests.
uncut mulch
Okay, gotcha
uncut mulch
And i thought u just do √(50-34.5)^2×0.25+(80-34.5)^2×0.15+(200-34.5)^2×0.05)
Here, you forgot to include the term 0.55(34.5 - 0)² in the square-root
sharp estuary
Ok i spotted the error it was a shitty calculator problem
Other thing
1.Are the given mean, variance and covariance even relevant for the task
2. what does the task even want to find out, i know it wants to draw a line most fitted to something but idk if fitted to bitcoin or etherium or how it plays together
3. how did u figure out which one is correct
@uncut mulch if you dont know i have an easier one
final saddleBOT
@sharp estuary Has your question been resolved?
final saddleBOT
@sharp estuary Has your question been resolved?
final saddleBOT
final saddleBOT
Available help channel!
winged drum
languid adder
how do u put this into exponential form ln4=1.39
final saddleBOT
how do u put this into exponential form ln4=1.39
languid adder
ln is natural log btw
modest birch
try doing e^ to both sides
modest birch
no idea what that is doing
you have to do the same thing to both sides of the equation
languid adder
can u show me
modest birch
no
I'm saying raise e to those numbers
if you have thing 1 = thing 2
then e^(thing 1) = e^(thing 2)
grim badger
So e is the base
languid adder
hmmmm
grim badger
ln is the same as log base e
languid adder
yea
grim badger
Pretty much apply the last rule
If you look at this, you're applying the 7th rule
You're just left with the inside part
grim badger
e^(logbase e gets canceled, if you look at the 7th rule
All you end up with is k, which is the inside
final tangle
you can't just raise e to the left and set it equal to the right
languid adder
yea