🍁・general-2

[gusty ermine]

I don't know how you are so good at math

Can you check where I went wrong?

[abstract scaffold]

just another way to do it here.

[gusty ermine]

I am quite sure I am doing the write thing but the calculation seems off

yeah that's the way i did it

[median trail]

it's fine, what you did there

[abstract scaffold]

@marsh linden by the way, i haven't lost your message yet.

[marsh linden]

cheers

was just writing some stuff out

lemme take a photo

[abstract scaffold]

cool. take ur time

[marsh linden]

I'm really rusty when it comes to binomial stuff and pascal but what's the method for getting from the second-to-last line to the last

[abstract scaffold]

@gusty ermine

[median trail]

oh shoot

[gusty ermine]

haha thank you so much

[median trail]

I didn't check that

[abstract scaffold]

oh jeezus, binomials. probability wasn't my strongest suit. (got a 51/100)

[marsh linden]

basically he goes from N-3/1 * N-4/2 * ... * N-j-1/j-1

[abstract scaffold]

if there are n terms, then the second last coefficient would be (n choose n-1)

[marsh linden]

to N-3 nCr j-1

and not too sure what the steps are

_<

[abstract scaffold]

yeah hang on, trynna read the steps lmao

[marsh linden]

yeah no worries

any help is appreciated

[junior citrus]

@viscid sable 환영합니다

[ashen mist]

No hables coreano acá por favor

[junior citrus]

Perdon, eres una piada interna jajajajjaaj

Eres solo esta mensagem

[viscid sable]

eres brasileño?

[ashen mist]

Soy qué?

[junior citrus]

Sí

[viscid sable]

aja, por un momento pensé que eras coreano

bueno, no entiendo lo que dijiste, solo aprendo coreano desde ayer jaja

[junior citrus]

Y yo pensé que eras español nativo

[abstract scaffold]

@marsh linden hopefully this makes it more clear for at least one part.

[viscid sable]

naa, ojalá lo fuera

[junior citrus]

Yo no hablo español muy bien, yo solo revolvo(?) las palavras en portugues y espanol

[viscid sable]

mm a ver, es decir que las adivinas?

o sea, hablas portuñol?

[junior citrus]

Sí lmao portuñol

[marsh linden]

Let me see

[severe vortex]

!> revuelvo

[gusty ermine]

F14 saving everyone's grade

[abstract scaffold]

then the final line comes from here.

[marsh linden]

oh shit ye, the first photo makes complete sense

never would have occurred to me do it like that

legend

[abstract scaffold]

haha. yeah. the products confused me. i just made it easier for myself.

[gusty ermine]

@junior citrus eres coreano?

[abstract scaffold]

like i prefer to have n terms rather than {j-2 terms}

so i just fudged it like so.

[marsh linden]

ye its bc theres other stuff going around it (this was just part of the question) but yeah i agree

[gusty ermine]

what is that? calc?

[junior citrus]

No, pero estoy apriendendo con MemeMcQueen lol

[marsh linden]

This is binomial distr

[gusty ermine]

entiendo

[marsh linden]

But the course itself is about evolution

[gusty ermine]

puedo ayudarte si quieres

[junior citrus]

Nosotros estamos en un servidor llamado LLK

[abstract scaffold]

I probably coudl've been smarter and used (n-3)! straight away rather than n!, but again. my 4:49am brain wasn't smart enough to immediately get the answer in 1 or two lines.

[junior citrus]

Yo quiero, pero yo hago muchas preguntas ㅋㅋㅋ

Puedes unirtes LLK, tenemos mucha gente dívertida allí

Y nosostros jugamos 끝말잇기 there

[gusty ermine]

puedes invitarme?

[abstract scaffold]

https://discord.gg/jxcVmHJ
https://discord.gg/e3H9Pde

[median trail]

One day I want to major in pure mathematics

it seems so interesting

but I'd do it just for fun

I'm pretty sure I will never have time to do it, though

[abstract scaffold]

for us, pure maths is only offered at some unis at an honours level.

[median trail]

oh

I thought studying maths at uni was basically the same as studying pure math

[abstract scaffold]

i guess it's "mainly pure maths"

but doing honours goes further into things like topology

[median trail]

I see

[abstract scaffold]

because i did some optimisation courses... which i would say aren't really pure maths

it seemed more applied to the real world.

but stuff like advanced calc and complex analysis and courses containing calc or linear algebra in general seemed more pure maths.

tbh, i dont really know what really consists of "applied maths" and "pure maths"

plus since it was Bsc, I had to do some compulsory science course more related to like biology, chemistry, and physics

anyways. creo que deberia dormir, asi que no puedo ayudar mas

[median trail]

could someone explain me what voltage is

like

I understand the example with pressure

but I don't understand what it really is

like why I can find what the current and voltage is using kirchoff methods?

why does that make any sense

[smoky comet]

Sorry. Dunno physics.

[abstract scaffold]

sorry, dropped physics in year 12

[main hatch]

I’m a chemist not a physicist 🤷‍♂️

[still radish]

I think trying to really understand it is hard

electrons are weird

[median trail]

then how do I check my results in my cirtuits

[fallow dock]

en mi opinión siempre es bueno aprender cómo funcionan las cosas un nivel por debajo de lo que uno necesita

(me deprimiría estudiando en la escala sub-planck)

[median trail]

I just want to understand what's going on in my circuits

why does this make sense

[still radish]

tengo miedo

3 simultaneous equations

matrix inversion to solve?

[median trail]

nah I'm solving that using an online calculator

I'm too lazy to solve that by hand

it'd be like 9 operations

so

[still radish]

hand calculations are pretty pointless these days

[median trail]

yes

[still radish]

code it to work once and then automate it

[median trail]

well my electronics class teacher told us that these days no one solves matrices by hand, and he doesn't understand why in some classes that's a requisite

mathematical methods was my fav class

wait I made a mistake

This ain't better

[median trail]

This is easy but tedious

at least there are like 3 resistors in short

(I have to find the total resistance when sw1, sw2,sw3 are in short and when sw4 is a zero

[median trail]

AAAAAAAAA

hmmmmm for some reason my camera is not working well

[bold gull]

Me sigo preguntando como es que meringue puede resolver eso...

[rain ermine]

Es inteligente

[fallow dock]

aw

Guido van Rossum had a Q&A on Twitch

[median trail]

who is that

[fathom flame]

the autor of Python

[median trail]

Guys, I was looking for rigorous mathematics books about calculus, and I found this book called Spivalk's calculus, and it sooooo good. I haven't read it that much, but it seems pretty cool

it seems like the books explains everything you need to know

even the theorems and properties

[gusty ermine]

Is it available online? like pdf file.

I have AP Calc exam coming soon (in May), if anyone knows resources for reviewing the materials, please let me know!

[mortal dagger]

Spivak or baby Rudin

[still radish]

every book is available online

[lusty widget]

Not mine

[still radish]

are you sure

what is it

[unreal pagoda]

@west thicket
psssst

[still radish]

hey pixie

[unreal pagoda]

@still radish! Oi!

[still radish]

hope you haven't murdered your fiance yet

[west thicket]

Hola pix!

[unreal pagoda]

Nope!!! I almost did this morning

I'm surprised he hasn't taken me out yet though @still radish

Im just so completely BORED and he just wants to watch MOVIES

[still radish]

movie marathon

I think that's what most normal people are doing

[unreal pagoda]

💤

Im so bored I went out and drove around yesterday, shit I have the gas to waste

[rain ermine]

dont waste gas if you dont need to

[unreal pagoda]

[still radish]

🥚

[median trail]

omg the number zero is so cool

let a ≠ b such that a < b and c ≠ b such that b < c

b-a > 0 and c - b > 0, therefore
(b-a)+(c-b) > 0 => c > a

[vital ginkgo]

[fathom flame]

hes drunk

[hollow wedge]

0️⃣

looks like an egg

[vital ginkgo]

Or a WC

[median trail]

let a < 0 and b < 0, then we have that

0 -a = -a > 0
0 - b = -b > 0

so (-a)(-b) > 0, therefore ab > 0

omg isn't it awesome

[vital ginkgo]

ab equals 0? and what's a?

And b?

[median trail]

numbers that belong to the natural set of numbers

I omitted that part because I'm lazy UWU

even though it's really important

[vital ginkgo]

I see

[weary swift]

qué es esto canal

[fallow dock]

este*

aún no sé

es como una cueva para discutir disciplinas científicas y tecnológicas (?)

[abstract scaffold]

talk about things that don't quite fit in #☕・general while still following #📜・rules

like it's a bit weird if a maths convo were to go on in #☕・general for example

[still radish]

does anyone have any podcasts they would recommend?

[fallow dock]

about what?

[median trail]

in Spanish?

[still radish]

if it's in spanish it will be need to be basic with help

like the duolingo spanish podcast

[median trail]

hmm...

[still radish]

https://bradyheywood.libsyn.com/

this appeals

[median trail]

oh

[still radish]

not listened yet

[median trail]

then I have one that you might like

[still radish]

ah those episodes are too short

[median trail]

https://www.youtube.com/user/lexfridman/videos this one is a podcast where this guy "lex" talks to people that do stuff related to comp sci, mathematics and physics

and each video is like fifty-minute-long(?

[still radish]

oh nice one

i really liked the ww2 hardcore history

too

[weary swift]

No

[real imp]

@gusty ermine

[fathom flame]

[still radish]

[gusty ermine]

[median trail]

@abstract scaffold is a differential equation linear if all the coeficients have a power of 1?

is this a function where all the derivatives are natural numbers?

well no

I mean, is this a function made of derivatives?

and why is x there? like why not F(f(x), f'(x), ..., f^(n)(x)) = 0?

[bold gull]

I am still wondering how are you able to solve that xd

[glass dragon]

@still radish maybe you will like last podcast on the left

[median trail]

@old shell 16GB edition? is that the storage?

[old shell]

It came with a 16 gb SD card

So I guess?

[median trail]

Ah I see 😅 enjoy it! Pixel has now a friend

[old shell]

Haha

I'm just now opening the box

Do you use an ethernet with yours?

Ethernet cable

[median trail]

Yea

I want to make sure pixel doesn't get disconnected for no reason

even though my router assigns static IPs weirdly

but yes I do

I want to buy double-sided tape so that I can stick my rasppi to the wall

[hollow wedge]

what does that do?

[median trail]

it's a small computer

I use it to host my bot

[echo moth]

that's me

[abstract scaffold]

@median trail linear differential equation is where the derivative operators are of power 1.

i.e. just the derivatives themselves.... you're not squaring doing (dy/dx)^2 ... it's just dy/dx or d^y/dx^2, no fancy squares, cubes, square roots.

[median trail]

but the derivatives themselves should be equal to something that's linear?

[abstract scaffold]

hang, on sorry

lol wait

[median trail]

oh okay

[abstract scaffold]

let's say you have d^ny/dx^n etc.....

if you have y^1 only afterwards as a variable, it's linear.

but as soon as you have y^2, or sqrt(y) etc... somewhere, then it's non-linear

[old shell]

@median trail

[median trail]

hmmm

I didn't understand the 'if you have y^1 only afterwards as a variable' part

[abstract scaffold]

https://cdn.discordapp.com/attachments/383377678385938432/693905071091744768/715f59b0b904cb45362f615259f25269.png

regarding to this. this is just a nth order differential equation.

another way to write it would be

phi^(n)(x) + ... phi'(x) + phi(x) + x = 0

@median trail i can't exactly remember if this notation meant there are constants out the front, it probably implies that..... so like a_n in front of the nth derivative.... but i cant exactly remember.

"it's just a function containing all the possible derivatives, independent and dependent variables"

I guess it implies there's a constant... because you can morph functions together when it's arbitrary and just name it one function

yeah. i think it implies constants out the front (if necessary).

i've only really seen this notation when doing PDEs

basically that's saying. a differential equation with the solution for phi(x) is in that general form.

just stupid notation.

https://cdn.discordapp.com/attachments/383377678385938432/693999384131534868/unknown.png
i'll try to explain better. if you look at the image:

the first DE is linear because the function itself, not the derivative here is "cu", and "cu is linear". since it's du/dx, we are looking at to see if f(u) is linear basically.

second examply, again the f(u) = u, so linear

third example, f(u) = omega^2*u, again linear

fourth example, f(u) = u^2, not linear

fifth example, f(u) = gsin(u), not linear.

@median trail

this is what i meant by the y^1 thing

if we have dy/dx, or higher order derivatives, and f(y) is linear, then it's a linear DE

linear means straight line function

or y^1, or just y (can attach a constant to adjust steepness)

[gusty ermine]

@abstract scaffold If you have time, can you help me please?

[abstract scaffold]

are you sure you took the derivatives correctly?

[gusty ermine]

I will try them again haha

[abstract scaffold]

=wolf graph 1/x^2 -1/x^3

[rotund pawn]

Do more with Wolfram|Alpha pro

Query made by

@abstract scaffold

[gusty ermine]

Oh I forgot about ln

but I can't take derivative of natural log

[abstract scaffold]

ok, lemme take a step back.

what's the DERIVATIVE of x^2

to check you have your derivative correct, try integrating back.

[gusty ermine]

2x?

[abstract scaffold]

ok.

now what is the derivative of your function y = 1/x^2 - 1/x^3

[gusty ermine]

ohhh

ln(x^2)(2x)..? - ln(x^3)(3x)?

[abstract scaffold]

=integrate ln(x^2)(2x) -ln(x^3)(3x)

=wolf integrate ln(x^2)(2x) -ln(x^3)(3x)

[rotund pawn]

Do more with Wolfram|Alpha pro

Query made by

@abstract scaffold

[abstract scaffold]

k, lemme take a step back. what's the derivative of x^n

[gusty ermine]

nx^(n-1)

[abstract scaffold]

Hence, what is the derivative of 1/x^n

[gusty ermine]

1/(nx^(n-1))

[abstract scaffold]

do you know quotient rule?

or product rule?

[gusty ermine]

yes both

[abstract scaffold]

technically none are needed, but they can be used to solve 1/x^n derivative

ok. if 1/x^n = x^-n, what is the derivative of 1/x^n

[gusty ermine]

wouldn't it be -nx^(-n-1)?

[abstract scaffold]

yes. (done the stupid quotient rule way, never do this, haha, it takes too long)

hence, what is the derivative of 1/x^2

[gusty ermine]

oh i get it!

-2x^(-3)

[abstract scaffold]

then, what is the derivative of 1/x^3

[gusty ermine]

-3x^(-4)

[abstract scaffold]

hence, y' =?

[gusty ermine]

-2x^(-3)-(-3x^(-4)

[abstract scaffold]

ok.

do you know what a point of inflexion is?

well. i gtg.

[shrewd pendant]

Cliffhanger!

[gusty ermine]

see you thank you!

[median trail]

is there anything I can help you with? @gusty ermine

[gusty ermine]

Yes please!!

[median trail]

okay, please tell me 🙂 I'm glad to help

[gusty ermine]

Number 29

I am not sure what to do with limits.

[median trail]

Okay, let me solve it, and I'll show you

[gusty ermine]

Great! Thank you so much.

[median trail]

I hope this helps :)

you can also use L'hopital's rule

[gusty ermine]

Thank you i will try to understand that. I haven't learned hospital rule but F14 mentioned that before too

maybe i should take a look at it

[median trail]

yeah it's just a quick way to solve trig limits

but this way is more like using identities and algebra

[gusty ermine]

Oh wow, I really actually understood that step by step at once.

I am like speechless. Thank you so much for your clear explanation.

I am stupefied that I actually understood that at once.

If you have time, can you help me with this one too? I don't know how to make sign chart for second derivative and how to get zeros in the first place.

[median trail]

okay, give me a few minutes, and I'll check that out

[gusty ermine]

Great! Thank you so much!

[median trail]

points of inflection* sorry lol

if you have any other question please ping me

I'm heading off to bed

[gusty ermine]

Thank you so much

[median trail]

so I'll check them out later

[gusty ermine]

I can't appreciate you enough

Sleep well bless you

[abstract scaffold]

=wolf point of inflection of 1/x^2 - 1/x^3

[rotund pawn]

Do more with Wolfram|Alpha pro

Query made by

@abstract scaffold

[abstract scaffold]

another way to solve the limit is to "rationalise the numerator"

This way is using l'hospitals rule

@gusty ermine +C is reserved for indefinite integrals because differentiating any constant results to being 0.

thus, when differentiating, there should be no +C in your final answer.

Also, points of inflection "may happen at y'' = 0

you have to check both sides. in this case a potential case as x=2. thus checking x = 1 and x = 3 on y'' to see if there's any concavity changes. i.e. one results in <0 and the other results in >0

take note of your domain of your function though. using negative x values as your test is incorrect as you "jumped on the other side of the domain", you have to split it into their relative continuous parts "where it splits at x=0, since the function doesn't exist there"

(-infinity, 0) is one part of the graph

(0, infinity) is the other continuous portion.

[abstract scaffold]

https://magoosh.com/hs/ap-calculus/2017/ap-calculus-review-inflection-points/

[hard kayak]

@grim lava or @narrow phoenix banshee has apparently got banned. Can you unban him? He hasnt done anything he says.

[rough lava]

Idk what happened but everyone always says "I didn't do anything"

There was probably a reason

[hard kayak]

Haha @rough lava agree. But he says he didnt do anything. I just promised him to ask. Don't know him alot, but yeah there is probably a reason.

[rough lava]

It's worth asking

You're a good friend

"Don't know him a lot" I see you're practicing social distancing too

Jk lol

[hard kayak]

Haha xD Thanks. I just meant I haven't talked to him a lot. Only a few times.

[real imp]

@linux users

[vital ginkgo]

Agree

[real imp]

[ @mortal dagger @past harbor ]

Halp

[mortal dagger]

cuál es el problema

yo lo veo bien

[real imp]

No arranca

Se queda ahí

@mortal dagger

[mortal dagger]

pero qué es

un live CD?

[real imp]

No, un dual boot

Ahora aparece esto, después de reiniciar

Se queda ahí, trancado

[mortal dagger]

como es ext-4 y forzaste el apagado está tratando de ver si puede rescatar algo

después de eso debería tratar de tirar el launcher

[real imp]

Qué es ext-4?

Cuánto tiempo debería tardar?

No muestra signos de avance

[mortal dagger]

el filesystem, nada importante

debería demorarse nada la verdad

[real imp]

Entonces está trancado, ya van 5 minutos...

Se habrá roto el disco duro?

Tiene sus años ya

[mortal dagger]

sí, desde ahí creo y solo creo que se puede pedir una terminal de root

[real imp]

Hago double boot en un wd 500gb del año del pedo

Intenté altf2

No puedo

"Superblock mount time is in the future"

[exotic kite]

🆙 | ticko leveled up!

[real imp]

Opa

50 pirulos ya

[mortal dagger]

deberías tener una terminal en ctrl + alt + f2

y tratar de lanzar lo que uses para ver las figuras

xorg supongo que debe ser

[real imp]

deberías tener una terminal en ctrl + alt + f2
@mortal dagger no, no funciona

Supongo que porque no es grub esto

Es distinta la pantalla a la del grub

[mortal dagger]

qué es

libreboot?

[real imp]

O sea, debería ser grub

Uso grub

Pero esto no se ve como grub

[mortal dagger]

no po, ya pasaste grub hace rato

cargaste incluso todos los servicios

[real imp]

No sé, la reinicié

[mortal dagger]

lo último que se carga es WPA supplicant

[real imp]

Antes de que aparezca esto

[mortal dagger]

que es para el wifi

[real imp]

Pero si no tiene wifi

Es de escritorio

[mortal dagger]

pero carga el módulo igual

debe ser porque instalaste algo automágico

o sea, se prepara para que si instalas una antena wifi, llegue y funcione

[real imp]

No se, lo unico que recuerdo es haber instalado 2 drivers que no eran

Quise instalar los de amd e instalé uno de nvidia y otro de amd para una versión distinta

[mortal dagger]

eso es otra cosa

[real imp]

Ahí la reinicié

A ver si explota todo

Otra vez la primer pantalla

Pero otro mensaje

Dios

[mortal dagger]

un error nuevo es siempre un buen augurio

pero funcionó alguna vez?

está recién instalado?

cómo lo instalaste?

[real imp]

un error nuevo es siempre un buen augurio
@mortal dagger no cuando no hice nada para solucionarlo

pero funcionó alguna vez?
@mortal dagger sí, lo vengo usando hasta el viernes

Lleva meses instalado ya

cómo lo instalaste?
@mortal dagger con un usb boot

Pero es que andar andaba genial

Incluso jugué a EVE Online mientras trabajaba en una vdi

Onda andaba de 10

Intenté arrancar desde un usb, también se cuelga

Se movió

[ember light]

May be a hard drive issue.

It says sectors

Try booting from live media then going into some tools to check the disk for any bad decors

Sectors *

[real imp]

Thats live media bro

I cant even boot up in that

[ember light]

What are you using for the live media

And are you sure you are booting the media - not the drive

[real imp]

An usb stick

Yes im sure

I chose it on boot menu

[ember light]

Ok

I’ll dm you a server who dan help

[real imp]

Oki thanks

[ember light]

They have Channles for Linux windows etc

[real imp]

Btw windows works like a charm

Its on another ssd tho

So im just suspecting its my hard drive that got all messed up

[ashen mist]

hola

[vital ginkgo]

Does anyone know The SCP Foundation?

I need information about useful for the humanity SCP objects

[sacred estuary]

t!daily

[exotic kite]

🏧 | F_u_k_u_y, you received your 💴 200 daily credits!

[median trail]

@sacred estuary please refrain from using commands outside of #🤖・general-bot

[sacred estuary]

My apologize

I was looking for a chat like that but I didn't see it

I wear glasses

Sorry

[median trail]

no worries

[celest bay]

glasses club

[fallow dock]

broken eyes club

[gusty ermine]

@abstract scaffold Thank you!! I keep confusing derivatives and integrals and hopefully I get that straightened out by may haha

[ashen mist]

derivatives and integrals are opposites

[gusty ermine]

Question: Is #☕・general always like this?

[timber sleet]

Indeed it is mi amigo

[gusty ermine]

noted and muted, gracias

[real imp]

Does anyone know The SCP Foundation?
@vital ginkgo i do

[gusty ermine]

Question: Is #☕・general always like this?
The armpit of the server

[real imp]

hey general is the best channel

[glass dragon]

noted and muted, gracias
@gusty ermine don't worry, I do the same thing

[gusty ermine]

[unreal pagoda]

Does @real imp have any memes

[real imp]

@unreal pagoda

[unreal pagoda]

🤯

[vital ginkgo]

@real imp do you know some beneficial SCP objects? Like SCP-999

[real imp]

No not really

[vital ginkgo]

Oh, thanks anyway

[grave elbow]

Can we play a game?

[vital ginkgo]

What game

[fossil cipher]

What game?

Let's play word chain.

Wanna start?

[vital ginkgo]

Me? ok

[fossil cipher]

Sure.

[vital ginkgo]

dog

[fossil cipher]

good

[vital ginkgo]

Dinosaur

[fossil cipher]

room

[vital ginkgo]

Mithochondria

[fossil cipher]

Ananas

Is it even correct what you said?

[vital ginkgo]

Searching

[fossil cipher]

grooming

[vital ginkgo]

Gear (what is ananas)

[fossil cipher]

road

Ananas?

[vital ginkgo]

dinner

[fossil cipher]

YOu don't know?

[vital ginkgo]

No

[fossil cipher]

rear

It's pineapple

piña

[vital ginkgo]

In Spanish?

[fossil cipher]

Yea?

[vital ginkgo]

Oh, I thought it was only in English. Ok

[fossil cipher]

Uhm

[vital ginkgo]

Rugido*

[fossil cipher]

Do you want it only english then?

[vital ginkgo]

No, both are nice

[fossil cipher]

Okay.

Orphan

[vital ginkgo]

Number

[fossil cipher]

Rare

[vital ginkgo]

Excéntrico*

[fossil cipher]

Orbit (should be a word in english, right?)

[vital ginkgo]

Triangle (I guess, although it's the same in Spanish)

[fossil cipher]

Element

[vital ginkgo]

Table

[fossil cipher]

Energy

[vital ginkgo]

Year

[fossil cipher]

Ring

[vital ginkgo]

Ground

[fossil cipher]

Dick

[vital ginkgo]

Kangaroo (Can we use names of people?)

[fossil cipher]

Why not.

October

[vital ginkgo]

Reality

[fossil cipher]

Yellow

[vital ginkgo]

Wind

[fossil cipher]

Dry

[vital ginkgo]

Youth

[fossil cipher]

hook

[vital ginkgo]

Kaleidoscope

[fossil cipher]

Escape

[vital ginkgo]

Ernesto*

[fossil cipher]

Orange

[vital ginkgo]

Elementary

[fossil cipher]

Young

[vital ginkgo]

Grill

[fossil cipher]

Lemon

[vital ginkgo]

Near

[fossil cipher]

roof

[vital ginkgo]

Floor

[fossil cipher]

round

[vital ginkgo]

Disastre Disaster

[fossil cipher]

Disaster*

[vital ginkgo]

[fossil cipher]

Run

[vital ginkgo]

Next

[fossil cipher]

text

[vital ginkgo]

Tendency

[fossil cipher]

Yield

[vital ginkgo]

Diamond

[fossil cipher]

Drown

[vital ginkgo]

Naroa

[fossil cipher]

Art

[vital ginkgo]

Trouble

[fossil cipher]

Epilepsy

[vital ginkgo]

Yang

[fossil cipher]

great

[vital ginkgo]

Thickness

[fossil cipher]

stick

[vital ginkgo]

Knowledge

[fossil cipher]

Edge

[vital ginkgo]

Elephant

[fossil cipher]

Trunk

[vital ginkgo]

Kind

[fossil cipher]

drink

[vital ginkgo]

Kimono

[fossil cipher]

Onion

[vital ginkgo]

Nature

[fossil cipher]

Example

[vital ginkgo]

Entarimado*

[fossil cipher]

Opinion

[vital ginkgo]

Nugget

[fossil cipher]

Trick

[vital ginkgo]

Kilt

[fossil cipher]

Take

[vital ginkgo]

Elena

[median trail]

what the fuck

[fossil cipher]

Anna

What's up, Ed?

[vital ginkgo]

Animated

[rain ermine]

lmao

[fossil cipher]

Drain

[rain ermine]

theyre playing a game edsel

[median trail]

I'm going over my networking class notes

ah

[vital ginkgo]

(I hate N's)

[fossil cipher]

Haha

[vital ginkgo]

New

[fossil cipher]

Wrong

[vital ginkgo]

Green

[fossil cipher]

Ni***r /s

None

[vital ginkgo]

Ent

[rain ermine]

torn

[fossil cipher]

Wanna join?

[rain ermine]

i guess

[fossil cipher]

Okay

Never

[vital ginkgo]

Ring

[rain ermine]

god

[fossil cipher]

I said that

Can't repeat

[vital ginkgo]

Hm, did I lose?

[fossil cipher]

Nah, just say something else

[vital ginkgo]

Rules

[rain ermine]

shark

[fossil cipher]

Okay

Keen

[rain ermine]

no

wait

[vital ginkgo]

Nitrogen

[fossil cipher]

?

[rain ermine]

are we taking turns

[vital ginkgo]

I guess

[fossil cipher]

Yes

[rain ermine]

ok

no

[fossil cipher]

One

[vital ginkgo]

Explendit

[fossil cipher]

try

[rain ermine]

yearn

[vital ginkgo]

Nunca*

[rain ermine]

arrepentido

[fossil cipher]

octane

Epic!

Not your turn

[rain ermine]

oh

[vital ginkgo]

Entidad*

[fossil cipher]

Dad

Now, epic.

[rain ermine]

dagger

[vital ginkgo]

Round

[fossil cipher]

Said already

[vital ginkgo]

Rodar

[fossil cipher]

Is it a word?

[vital ginkgo]

It's a Spanish verb

[fossil cipher]

Ah, alright.

[rain ermine]

my turn

i think

[fossil cipher]

Not yet

Mine

[rain ermine]

oh

[fossil cipher]

Radar

@rain ermine

[rain ermine]

redo

[vital ginkgo]

Office

[fossil cipher]

Embrace

Epic?

[rain ermine]

umm

[vital ginkgo]

Guys, I have to leave. It's late here

[rain ermine]

ok

[fossil cipher]

Oh, okay.

[vital ginkgo]

Good night

[fossil cipher]

Night!

[gusty ermine]

I am learning Por and Para I need help

[glass dragon]

... por/para

[junior crystal]

#741548 📣 https://www.spanishdict.com/guide/por-vs-para

[glass dragon]

... para/por

[junior crystal]

#741547 📣 https://www.spanishdict.com/guide/por-vs-para

[glass dragon]

oh same thing

@gusty ermine

[past harbor]

... por-para

[junior crystal]

#841513 📣 https://cdn.discordapp.com/attachments/243858634566664192/598203175106904090/ParaVsPor.PNG

[gusty ermine]

Thanks

[gusty ermine]

@median trail is it possible for you to help me with this if you have time haha

[median trail]

yes sure

which one

or both?

[gusty ermine]

both please haha

[median trail]

kk, give me a few minutes, I'm going to wash some dishes 😛

[gusty ermine]

Thanks!!

[median trail]

ok

[fallow dock]

does anyone like code golf

[median trail]

this is the first one @gusty ermine

[gusty ermine]

Thank youuuuu

You write so neat

I love people who write neatly

especially math

[gusty ermine]

Thank you so much. I can't appreciate you enough.

[gusty ermine]

Wow I have one question and I am like hmm and I look at the board and the explanation's just like bam! there. I was like did he read my mind or something xd thank you so much

[median trail]

glad you like it

[gusty ermine]

Thank you so much. Your detailed explanation really help me to get why things turn out one way or another. I admire your handwriting and math skills.

[abstract scaffold]

I guess I did the ladder one a similar way, but not quite.

[median trail]

I love that exercise because it's soooooooooo common when studying related rates of change

it's almost like a cliché haha

I bet it's been the first exercise quite a few people have been introduced to when studying this for the first time

[hollow wedge]

I found it quite confusing to know what is meant by "distance between ladder and wall" but I guess they mean the bottom of the ladder.

a cheeky answer would be to say 0

but we'd need to add an extra option

[abstract scaffold]

@median trail i didn't introduce a dy/dt really.

[median trail]

:0

[abstract scaffold]

I just did pythagoras to find x(t) straight away

then dx/dt

[median trail]

Omg I love the notation for the derivative of the X hahaha I saw it on my diff eq textbook uwu

[abstract scaffold]

x with a dot above is more like "physics notation"

[median trail]

yea

[shrewd pendant]

yeah I never understood why there were so many notations in calculus-related concepts

well I'm sure I was told but Ive since forgotten the reasons

[gusty ermine]

Wow I feel like i've learned that but I don't understand

[hollow wedge]

sometimes they were developed independently and now they are interchangeable conventions.

[median trail]

I don't quite understand the history behind calculus, like there were two people developing its foundations, and that's why there are different notations? But don't quote me on this, I'm not quite sure haha

[hollow wedge]

when working with infinitesimals sometimes Leibniz notation s more intuitive.

Yes, Leibniz and Newton independently discovered calculus.

[abstract scaffold]

yeah. x dot is newtons notation iirc

[hollow wedge]

yep

[abstract scaffold]

but imagine if you need the nth derivative... hahaha

x n dots

like wtf

[hollow wedge]

Newton was a bit of an ass, and when he was head of the royal society he declared himself the inventor of calculus.

lol

you put a number on top apparantly

https://en.wikipedia.org/wiki/Notation_for_differentiation#Newton's_notation

leibniz notation is much more common, except in physics.

look at this bad boy

[shrewd pendant]

lol I've been on that wikipedia page before

I remember because it's ridiculous

[median trail]

Oh I've used the one that contains the D when solving differential equations

[shrewd pendant]

this one is incredibly confusing haha

[hollow wedge]

hahaha

roman numeral

nice

[gusty ermine]

Can I get help with both haha

please ping me

[hollow wedge]

what have you tried?

[abstract scaffold]

do you know the vertical and horizontal asyptotes of simply y = 1/x?

[gusty ermine]

For the top one, I tried drawing graph and I know that the graph will not touch (-3,0) and (0,2), but because there is b, I think the values can differ a lot

do you know the vertical and horizontal asyptotes of simply y = 1/x?
@abstract scaffold no i will check right now

@abstract scaffold no i will check right now
x axis and y axis?

[abstract scaffold]

ok.

[gusty ermine]

I didn't even think about y=1/x graph. I think I should be able to figure that out. Thank you!!

[abstract scaffold]

left rectangles are rectangles where the top LEFT corner of the approximated rectangle touches the curve

[gusty ermine]

I think the equation is y=-(1/(x+3))+2

[abstract scaffold]

hence find a + b

@gusty ermine I'll try to explain what I did for the ladder question.

ladder slides down wall 3 feet every minute. The ladder is constantly going to be 25 feet long. Thus, the hypotenuse is 25.

Thus, "falling down a constant rate of 3 feet per minute" means intuitively we can see the tip of the ladder is 25 - 3t feet high where t is in minutes.

we now have the hypotenuse 25 and one side 25-3t, so we can figure out the other side with pythagoras.

this ends up being x(t) = sqrt(150t - 9t^2)
differentiating both sides with respect to t, since we want the rate of change for this side.
dx/dt = (150-18t)/(2sqrt(150t-9t^2))

remember the side we came up with earlier (25 -3t)
we want this to be 7 at that exact moment.
25 - 3t = 7 implies t = 6

thus, dx/dt at t = 6 results in 7/8

[real imp]

oh no

oh no no no no no

bye

[abstract scaffold]

@gusty ermine try manipulating your equation you just found in the desired form given in the question, then find a+c

I wrote a+b earlier. I meant to say a+c

[hollow wedge]

did you solve the first problem F14?

[abstract scaffold]

the ax+b/x-c one?

[hollow wedge]

I solved it, but I didn't need to find b

yeah

[abstract scaffold]

||b ain't needed, yeah||

[hollow wedge]

or I think I solved it*

[gusty ermine]

how did you get 'dx/dt = (150-18t)/(2sqrt(150t-9t^2))' for the ladder question?

[abstract scaffold]

@gusty ermine did u get how I got x?

x(t) that is

[gusty ermine]

x=150-9t^2

Pythagorean theorem

[abstract scaffold]

sqrt(150-9t^2)

but yeah, pythagoras

[gusty ermine]

oh i see

[abstract scaffold]

from there it's just differentiate with respect to t

[gusty ermine]

yup makes sense

[abstract scaffold]

know how to differentiate a sqrt of a power to the half.
then use chain rule to differentiate the inside function

[gusty ermine]

yup

that's amazing

[abstract scaffold]

if you couldn't find 25-3t intuitively, then refer to edsel's method partly.

dy/dt = -3 {from question, falling down at 3 feet constantly. falling tends to be defined as negative velocity}
dy = -3dt
y = -3t + C {integrating both sides}

at t = 0, y = 25 {from question, ladder is 25m and hasn't fallen down at t=0 intuitively}

25 = C
thus, y = 25 -3t
then you could continue on my path if you wish after that.

[gusty ermine]

Yeah I see. I really need to be able to do those haha

I think I got the equation for #35

y=2x/(x+3)

so a+c=5

[hollow wedge]

does b matter at all?

[gusty ermine]

I don't think it matters because the question doesn't specify it and I've put many numbers in that place but it didn't do much

[hollow wedge]

yeah

[gusty ermine]

yup. thank you so much

[abstract scaffold]

one method.

[hollow wedge]

that is what I did

[abstract scaffold]

another method is to intuitively find an equation that satisfies horizontal asymptote y = 2 and vertival x = -3

[real imp]

how can you know so much

like really

i hope i learn half of what you know

[hollow wedge]

I feel like that method isn't as convincing, You would at least need to make sure that the equation has the same form.

are you studying calculus ticko?

[real imp]

im doing precalc

bc i suck at maths

so i havent taken calculus yet

[hollow wedge]

I see

[gusty ermine]

oh dang limits

i didn't even think about that

aaaaaa

im so dumb

[abstract scaffold]

use polynomial division to find the oblique asymptote.

[gusty ermine]

Why is oblique asymptote c asymptote?

[abstract scaffold]

c asymptote?

oh.

it says "which is a horizontal asymptote since a is a real number"

hard to write with mouse

[gusty ermine]

ohhh i see

i've never heard of oblique asymptote before

new concept

[gusty ermine]

How do you edit the profiles on #🤖・general-bot ? tengo curiosidad

[vital ginkgo]

hm

[gusty ermine]

gracias kiko (está bien q te llamo así?)

[vital ginkgo]

Of course

[gusty ermine]

so at the end i went living in spain and i lived there for almost a year, now im back in italy, new achievement SPANISH LEARNT, well now im missing euskera lol. when all this quarentine shit ends ill go back there

[eager wagon]

Tenemos a algunos vascos aquí, Ranger

[gusty ermine]

ah sí? yo estuve trabajando en donostia

usé este discord por 1-2 semanas antes de irme (:

[eager wagon]

😮

@high solstice @gusty ermine

[high solstice]

wut

ohh

yo vivo a 45 mins te donosti

:))

[gusty ermine]

a ver si estuve en tu pueblo.. pasajes, zarautz, zumaia?

[high solstice]

ZUMAIAAA

en realidad no vivo ahí

[gusty ermine]

!

[high solstice]

pero es como parte de mi vivienda

tenemos un barco ahí y solemos pasarnos mucho tiempo durmiendo en el puerto en verano

[gusty ermine]

zumaia fue el mas bonito, zarautz solo tenía la playa enorme grandísima pero nada más...

[high solstice]

zumaia es hermossso

es lo mejor

el flysch, el mar..

y el pueblo es bonito por dentro

por algo grabaron juego de tronos ahí 😎

[gusty ermine]

fuimos a ver los flysch sí, esas rocas.. bastante hermoso todo, sí.

[high solstice]

sí

como para no ser

[gusty ermine]

pasajes pero también casi os gana eh

[high solstice]

mmmm

pasaia

[gusty ermine]

[gusty ermine]

Is derivative of natural log always in absolute value sign?

[abstract scaffold]

?

derivative of ln(x) = 1/x

Integral of 1/x = ln(x) + C for x > 0

integral of 1/x = ln(-x) + C for x < 0

derivative of ln(-x) = -1/(-x) = 1/x

thus combining the two cases for the integral gives
integral of 1/x = ln|x| +C for x not equal to 0

the absolute value is to take care of the domain issues

[past harbor]

https://tatsu.gg/dashboard @gusty ermine Para editar tu perfil

Está bien que te llame así *

[abstract scaffold]

@gusty ermine if u didn't see my message. scroll up a bit.

[gusty ermine]

What do you mean domain issues?

Sorry I don't think I am understanding this

[abstract scaffold]

what's the domain of ln(x)?

[gusty ermine]

All real numbers greater than 0?

[abstract scaffold]

ok.

[fading shell]

whaaaaat why you’re talking about maths xd

[abstract scaffold]

so you know that derivative of ln(x) is 1/x right?

[gusty ermine]

yes

[abstract scaffold]

try differentiate ln(-x) using chain rule

[gusty ermine]

it's 1/x!

[abstract scaffold]

ok.

what's the domain of 1/x?

[gusty ermine]

all real numbers except 0?

[abstract scaffold]

ok

integrating 1/x... is it ln(x), ln(-x), both???

[gusty ermine]

mmmm

guess so?

[abstract scaffold]

so technically, this is ur answer

but there is a way to combine them

[gusty ermine]

[gusty ermine]

ohhhhh

[abstract scaffold]

forgot to label my x and y axes there....

[gusty ermine]

This is magical

[abstract scaffold]

so integral of 1/x = ln(x) for a certain part of the domain of 1/x and ln(-x) for the other part

they can be combined to ln|x|, which coincidentally make calculations easier when doing definite integrals. Else, you would have to spilt it to two different integrals and evaluate separately.

[gusty ermine]

I see. Thank you so much!!

[abstract scaffold]

nw

[gusty ermine]

Thanks "Evil" 😄

[gusty ermine]

Does anyone know how to find a movie online

I need to watch 'Hamlet' 1991 version starring Mel Gibson

for my english class

it's not available on netflix nor amazon prime

[unreal pagoda]

Did you try you tube

Vudu

Redbox

(Idk if you have access to any of these btw)

Plex

Google play

Apple tv

Popcornflix

Flixster

Try you tube, apple tv, google play, and vudu first @gusty ermine

Then try the others I mentioned

[gusty ermine]

@unreal pagoda Thanks!! Appreciate it. I found it

[shrewd pendant]

Mel Gibson played hamlet?

[gusty ermine]

1991 so long time ago

not sure what role he played

haven't watched the movie yet

[shrewd pendant]

I remember we had to watch the version with Kenneth Branagh

Was pretty bad

[bold gull]

¿Alguien sabe si lo qué acabo de hacer está bien? Xd

[abstract scaffold]

so in a you're trying to make R1 the subject?

and b) R2 the subject?

if so a) is correct on the final line

checking b) now

[bold gull]

Bueno, primero tenía que despejar R1 y después R2.

[shrewd pendant]

yeah looks good to me also

you call it "the subject" F14?

[abstract scaffold]

the lone term on the LHS, yes

[shrewd pendant]

interesting, I've never heard that nomenclature

[abstract scaffold]

rearrange this equation such that x is the subject

[shrewd pendant]

I normally see "solve for x"

[abstract scaffold]

that works. but normally I'd expect a real number or something if it said "solve for x"

[bold gull]

Rayos, me tocará aprender lenguaje matemático en inglés.

[shrewd pendant]

I see

lol katakana

[abstract scaffold]

F = ma

a = F/m {equation rearranged such that a is now the subject}

[shrewd pendant]

sure, makes total sense. I've just never heard it phrased that way

maybe it's regional

[bold gull]

But then it's correct what I just did?

[shrewd pendant]

yes

[bold gull]

Finally I do something good/right (?)

Wait, should I use right or what?

[shrewd pendant]

both are fine

"right" might be preferable because it can serve as an adverb and modifies "to do"

[bold gull]

Ok, I'll get used to using "right".

[shrewd pendant]

"good" is an adjective so in that sentence it would modify "something"

"something good" = a good deed, maybe

una obra de bien

[bold gull]

You really help me :D

[shrewd pendant]

happy to 🙂

[abstract scaffold]

https://study.com/academy/lesson/how-to-change-the-subject-of-an-equation.html explaining subject

@bold gull Finally I did something right/correctly. I prefer to use correctly.

[bold gull]

Can't I say do?
I wanted to say: "finalmente hago algo bien".

Or does it have to be "did" anyway?

[abstract scaffold]

I'm doing

Finally I'm doing something well.

[bold gull]

[shrewd pendant]

It doesn’t sound incorrect to me to say “do”, but maybe “did” is more natural

[bold gull]

Okey dokey.

[gusty ermine]

@bold gull it should be "Finally I did something right"

"I did something good" would sound more like "hice algo educado"

[unreal pagoda]

finally

I'M ACTUALLY GREEN

[rain ermine]

yay

now speak spanish

[unreal pagoda]

NO

[rain ermine]

oki tia

[unreal pagoda]

....

Pero estoy hablando español

[rain ermine]

lol

[unreal pagoda]

"No" es.... Español... Si?

[rain ermine]

yes and no

[unreal pagoda]

[real imp]

aaaaaaaaaaaaaaaaaaaaaaaaaa

can someone explain to me

where did the x go in the final step

also the 4

like

i dont get that last part

it's like magic

poof

gone

OHHHHHHHH NVM I GET IT I GET IT

nice

that's smart wow

[hollow wedge]

nice

ye

[real imp]

common factor 2x-1

[hollow wedge]

yeah it took me a while to see too

I got it at the same time as you lol

[real imp]

xD

[abstract scaffold]

I don't use this method.

[real imp]

what method do you use

it is human

[hollow wedge]

or is it dancer?

[abstract scaffold]

it's called the "cross method"

[real imp]

im not sure if i will be able to understand it but

you can share it with the class

[abstract scaffold]

it's basically a trial and error method

for the coefficient of x^2, list the combination of factors on the left hand side.

for the constant, list the factors of the constant on the right hand side.

cross multiply and see if they sum to the middle term, in this case 7x

2x crossed with 4 2x*4 = 8x

[real imp]

wait but thats not the original expression

this one is

[abstract scaffold]

yeah, i wrote that on the top

[real imp]

oh thats a

7

ok

[abstract scaffold]

x crossed with -1 x*-1 = -x

8x + (-x) = 7x

so just grab the rows and done.

(2x-1)(x+4)