help-28

[random lichen]

gonna flarkin fart myself rn

yea

[grave elm]

You could do exactly the same algebra to get from 7 - 4(y+3) - (y+3)^2 to 11 - ((y+3) + 2)^2

and in every step, you'd just say "y+3" instead of x

[random lichen]

OH

OHHH

OMG I GET IT

[indigo frost]

also you can just notice that since x is any value that matches the equation , it can also be expressed as y+3

y+3 is just another representation to x

what is y value that we can add up with 3 to get a solution to the equation

[random lichen]

2?

[indigo frost]

how did you get that

[random lichen]

oops

-3 right

bc = 90

0*

[grave elm]

11 - ((y+3) + 2)^2 = 0

is that what you were solving?

how did you arrive at those sols?

[random lichen]

oh

for the solution of the entire thing?

[indigo frost]

yeah

[random lichen]

i got -2 +- sqr root 11 after opening this channel but before i got -5 +- sqr root 11

so im not sure which 1 it is

[grave elm]

should be the before one

[indigo frost]

one is for the latest one , and the other for the first one

so both are correct

but you should be sure

,, x= -2 \pm \sqrt{11}

[glossy valve]

<rajel />

[indigo frost]

\begin{cases*}
&ax^2 +bx + c = 0 \
&az^2 +bz + c = 0 \
&a(y+3)^2 +b(y+3) + c = 0
\end{cases}

thats all identical @random lichen

[glossy valve]

<rajel />
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[random lichen]

a

[indigo frost]

meaning that y+3=z=x

same thing for your case

@random lichen you get it now ?

[random lichen]

yea

[indigo frost]

,, x = -2 \pm \sqrt{11} \rightarrow y+ 3 = -2 \pm \sqrt{11}

[glossy valve]

<rajel />

[random lichen]

i c

[indigo frost]

!done

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[random lichen]

.close

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[sweet monolith]

can someone help ques 13.73(79)

[tender delta]

Use T = 2π(L/g)^1/2

Calculate this pendulum's time period on earth

The time period on this new planet is given in the question

Use it to find the ratio of 'g' for earth and that planet

[sweet monolith]

how to find g in newtonia

[wraith fox]

brotha ez

g = 9,81

end

[sweet monolith]

no bro

[wraith fox]

you mean g or G

[sweet monolith]

i think g on newtonia is different with g on earth

[wraith fox]

tf is newtonia

is that a planet or someting??

g is always gravity

[sweet monolith]

planet

[muted flare]

did you not read the question lol

[wraith fox]

if its on earth 9.81

[wraith fox]

hsh

[wraith fox]

where is the problem

[sweet monolith]

here

[wraith fox]

okay

you gotta

this is mrua

you gotta divide eje x and eje y

you are given an angle

and aceleration

also the period

[sweet monolith]

no entiendo =))

[wraith fox]

ughh

[muted flare]

do you know the formula for the time period of a simple pendulum

[wraith fox]

you have to calculate the time for it to complete a full round

[sweet monolith]

yeah how ?

[wraith fox]

whre you from guys

[wraith fox]

formula i dont remember it

[sweet monolith]

i know a lot but dont know which one

[wraith fox]

for example the period of earth is 24h

[keen vector]

is it sqrt(2pi l/g)

[muted flare]

$T = 2\pi \sqrt{\frac lg}$

[glossy valve]

jewels!

[keen vector]

nooo

[wraith fox]

2pi / w

w= angular speed

[keen vector]

angular speed changes

during motion

[muted flare]

You also know that g = GM/r^2, and so you can sub that in

[wraith fox]

well then calculate the normal aceleration and tangencial

i had a 10 on this examn but i forgot most part of it

[sweet monolith]

yeah from this one i can find the mass right

[tender delta]

Yes

[sweet monolith]

but how to find g in newplanet

[wraith fox]

mrua

[keen vector]

this is the problem with exams

[tender delta]

Using the simple pendulum

You know its time period

Use the formula for time period

[wraith fox]

real

[keen vector]

g = G M_E/R_E^2

replace E with any planet

[wraith fox]

this goofy maths server cant help

gpt better

[keen vector]

huh

[sweet monolith]

no i have to find g on the newplanet then sub to find mass

and g on new planet i think use this "bob with mass 1.25 kg and a length of 185.0 cm takes 1.42 s,
when released from rest, to swing through an angle of 12.5°"

[sweet monolith]

No mi amigo creo que este grupo me puede ayudar

[sacred cloak]

So use the formula for period and solve for g

Then use the universal gravitation formula to find mass

[sacred cloak]

this one

1.42s is period, 185cm is length, and you solve for g

[muted flare]

I'm unsure though

Why was 12.5 degrees given

[onyx glen]

door's right there mate 🚪 if you wanna complain go do it elsewhere

[sacred cloak]

It's not needed

[muted flare]

Hmm

[sweet monolith]

ive done

[sacred cloak]

Just to show that it's small angle so the formula for period applies

[muted flare]

,w sin(12.5 degrees)

[glossy valve]

Results provided by WolframAlpha

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[muted flare]

,w 12.5 degrees to radians

[glossy valve]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by jewels9006

[muted flare]

good enough I guess

[sweet monolith]

thanks all of you

im so stupid =(( it takes a lot of time hh

[sweet monolith]

im just confused the t= 1.42 or 1.42 *2

[sacred cloak]

Hmm, it seems to suggest that after 1.42 seconds it stops on the other side, so it would be 1.42*2

But it's unclear imo

[sweet monolith]

G9 mọi người , tam biệt

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[nimble crane]

,ci

[glossy valve]

Channel information for help-28.

​ ​ ​ ​ ​ ​ Name: help-28 [#help-28]
​ ​ ​ ​ ​ ​ Type: Text channel
​ ​ ​ ​ ​ ​ ​ ​ ID: 903486480985489478
​ ​ ​ ​ ​ ​ NSFW: No
​ ​ Category: ✅Math Help (Available) (903427206980714507)
Created at: <t:1635478363:F>

Topic

Math Help. Please read #❓how-to-get-help and #rules.

[nimble crane]

.close

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[nimble crane]

interesting!

okay I'll stop opening these for now

[leaden ermine]

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[hushed oar]

so why cant we get the height the way we got length?

[hushed oar]

isnt it the same thing but just goes vertically

[umbral dome]

the circles aren't stacked directly on top of each other

[hushed oar]

But why though? from the diagram, it can work if it worked for horizontal

[umbral dome]

can you draw what you are thinking of?

[umbral dome]

but the top two aren't radii of any of the circles

[hushed oar]

Ah

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[hushed oar]

thanks

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[vapid pilot]

@gritty flax c'est bon

[gritty flax]

J'écoute

[vapid pilot]

Bah enft aujourd'hui j'ai fait mon oral blanc

C'était sur la physique chimie

Mais enft je me rends compte que j'ai pas pu prévoir les questions

Et dcp je me dis qu'en maths ça sera pareil

Pour le grand oral

Et dcp bah peut être que vue que t'es un pro des maths tu peux prévoir ou me donner des idées 🥲

[gritty flax]

C'est quoi ton sujet pour les maths ?

[vapid pilot]

Comment les mathématiques aident à prévoir l'évolution de population

[gritty flax]

Et tu parles de quel modèle ?

[vapid pilot]

De Malthus et de verhus

[gritty flax]

Et tu expliques en quoi ils se répondent ?

[vapid pilot]

Ils se répondent ??

Comment ça

[gritty flax]

Bah le modèle de verlhust est une réponse à la proposition que fait Malthus

[vapid pilot]

A oui

Comme Malthus c'était incohérent

Car il ne tenait pas en compte la capacité du milieu

[gritty flax]

Capacité du milieu ?

[vapid pilot]

K?

Fin oui?

[gritty flax]

Une définition

[gritty flax]

Pcq pour le coup elle a plusieurs noms celle ci

Donc ce qui prime c'est la définition

[vapid pilot]

Oui c'est la capacité du milieu ?

Fin on l'appelle comme ça

[gritty flax]

Si jamais tu ne l'as dit pas, et que tu dis que le nom ils peuvent te demander d'expliquer

[gritty flax]

Ou capacite d'accueil/capacité de charge

[vapid pilot]

Oui voila

[gritty flax]

Personnellement je connais charge

[vapid pilot]

Mais enft c'est pour les questions je vois pas qu'est qui peuvent me demander

[gritty flax]

Ils demanderont sûrement des définitions de certains termes

Ou alors simplement pourquoi ce thème

[vapid pilot]

Après a vrai dire le chapitre qui m'a perdu cette année c'est les équations différentiel...

[gritty flax]

Le "pourquoi ce thème ?" Est sûrement celle qui se pose tout le temps si tu ne le mentionne pas

Après je sais pas si ils peuvent te demander de faire un exo au tableau

[vapid pilot]

Bah pour le coup pour l oral blanc ils l'ont pas posé

[gritty flax]

Ah

En général c'est un peu la question type d'un oral c'est pourquoi ce sujet plutôt qu'un autre

[kindred grove]

c'est combien de tps d'oral déjà ?

[gritty flax]

Prends en quand même une réponse

[vapid pilot]

C'est coeff 10

[vapid pilot]

??

[gritty flax]

Le temps

[kindred grove]

oui la durée

[vapid pilot]

Ahahahha

[kindred grove]

combien de minutes tu déroules ton sujet ?

[vapid pilot]

10 min

Et 10 min de question

[kindred grove]

t'arrives à tenir 10 min avec ça ?

[vapid pilot]

Oui normalement

[gritty flax]

Prépare une réponse à "pourquoi ce thème"

[kindred grove]

je suppose que c'était ok niveau timing ton oral blanc alors

[vapid pilot]

Oui c'était la physique

Mais les questions m'ont posé problème

[kindred grove]

ah oui il y a 2 thèmes diff ok

[gritty flax]

Et à part ces questions là c'était bon en terme de contenu ?

[vapid pilot]

Oui

Mais bon c'était physique

Jsp si en terme de contenu maths c'est bon

[gritty flax]

Tu as eu un oral de physique mais pas de maths ?

[kindred grove]

le gros des questions dans ce genre d'oral qui passent à la chaîne c'est des questions de clarification à mon avis

les profs sont pas tiptop au point sur tous les sujets de tout le monde et a priori ils savent pas ce que tu vas dire à l'avance

donc j'imagine beaucoup de questions de réaction à chaud sur des points pas super clairs

il y a un double travail de ce point de vue là : arriver à être le plus clean possible dans la partie présentation de 10min, et s'il y a des points sur lesquels tu dois aller vite par manque de temps, te focus sur ça pour des questions

[vapid pilot]

Oui

[gritty flax]

Platypus a globalement tout dit

tu as le droit d'utiliser le tableau ?

[kindred grove]

et in fine c'est difficile de t'aider concernant la partie questions si tu montres pas un plan pas mal détaillé de ton oral/voire ton oral full, parce qu'on peut pas se mettre dans la peau d'un examinateur réaliste qui réfléchit à ses questions juste avec un intitulé et 2-3 idées

[vapid pilot]

Je peux envoyer si vous voulez

[kindred grove]

oui c'est une de mes interrogations aussi, tableau/powerpoint ou c'est juste ta voix ?

[vapid pilot]

Juste ma voix

[gritty flax]

les maths expliquées à l'oral

[kindred grove]

oui donc les formules c'est chaud quoi

dang

[gritty flax]

donc tu ne peux pas leur montrer une courbe de chaque modèle ?

[vapid pilot]

Si

Sur la feuille prépare pendant les 20 min de préparation

[kindred grove]

et au crayon de bois c'est un prof qui revoit ton plan ?

[vapid pilot]

Oui effectivement

Je lui avais donné

[kindred grove]

c'est que des profs de maths qui examinent ou il peut il y avoir des profs d'allemand qui pop aussi ?

[vapid pilot]

Bah la c'était ma prof de maths qui a corrigé

Mais le grand oral c'est un prof de spécialité

Et un prof lambda

[kindred grove]

oui donc faut un truc pigeable par un prof random

[vapid pilot]

Oui c'est le problème

[gritty flax]

évite les "de manière assez simple", ou "aisément" si jamais ducoup

[vapid pilot]

Pk??

[gritty flax]

si jamais le jury dont c'est pas la matière trouve que ça ne l'est pas c'est pas très cool

[vapid pilot]

A oui

Pas bête

Mais le plan est bon?

[kindred grove]

mais oui il y a un des premiers commentaires qui est capital : "un focus important sur l'histoire"

c'est difficile de jauger le timing sur un plan, je sais pas ce que tu prévois

[vapid pilot]

Mais justement j'essaye de m'adapter

[kindred grove]

de 1. c'est sympa pour l'autre prof
de 2. encore un modèle exponentiel tu peux l'énoncer à l'oral, mais si tu dictes le modèle logistique t'as 1 chance/2 que le prof de maths soit semi-confus dépendant d'à quel point t'es à l'aise, et l'autre prof va faire une attaque de panique

[vapid pilot]

Comment ça

Fin on est pas en histoire ??

[gritty flax]

oui mais pourquoi et dans quel contexte ils ont réfléchi à ça

[kindred grove]

tu dis qu'il y a aucun support visuel que tu peux utiliser

[vapid pilot]

A oui c'était avant l'ère industrielle

Et tout

[kindred grove]

ça limite beaucoup les vraies maths dont tu peux parler cette contrainte

[vapid pilot]

Si?

Mais j'ai pas bcp de temps pour préparer

[gritty flax]

c'est une feuille que tu tiens ?

[vapid pilot]

J'ai 20 min pour préparer ce que je veux

[kindred grove]

mon gars je croyais que c'était que ta voix qui était autorisée

forcément ça rendait le truc tendu dans ma tête

oui donc ça change pas mal de choses

[vapid pilot]

Mais enft j'arrive

Il me donne le sujet

Et j'ai 20 min de préparation

[kindred grove]

et donc tu peux montrer des papiers que t'as dessiné dans les 20min c'est ça l'idée ?

[vapid pilot]

Oui

[kindred grove]

oui d'ailleurs tu parle du malthusianisme, le pendant économique/gestion de société de ce modèle ?

[vapid pilot]

C'est a dire?

[kindred grove]

pour résumer abusivement, c'est considérer que l'humanité est forcément foutue parce que la collecte des ressources nécessaire à la survie pourrait pas suivre une croissance exponentialle de la pop

https://fr.wikipedia.org/wiki/Malthusianisme

à la limite c'est pas mal pour conclure ta partie

modèle claqué => conclusions claquées

ça permet de rajouter un peu plus de coté historique que juste "revolution industrielle"

la partie intéressante mathématiquement c'est le modèle logistique effectivement, il y a pas grand chose à dire sur le modèle exponentiel

[vapid pilot]

A oui pas bête

[kindred grove]

et sinon truc à se rappeler, expliquer ce que c'est une équation différentielle

pour le prof pas maths

[vapid pilot]

Mais jsp expliquer moi 🥲

[kindred grove]

oui mais t'as un peu de temps pour bosser ça encore, prépare un truc si c'est trop chaud, je balance juste des idées sur ton plan là

ce qui me fait un peu peur c'est la partie 4, je vois pas trop ce qu'elle apporte

[vapid pilot]

Un peu une ouverture...

Fin jsp

[gritty flax]

un example concret ?

[kindred grove]

ouais mais ça fait très bof comme ouverture

[vapid pilot]

De?

[gritty flax]

Tu penses à quel exemple concret ?

[vapid pilot]

Bah juste je mets des chiffres pour illustrer le propos

[kindred grove]

une ouverture qui peut être cool c'est d'évoquer des modèles qui modèlent plusieurs types de population en même temps [vu que tout ton exposé parle de modèles qui focus sur une seule population]

[vapid pilot]

Ça existe ?

[gritty flax]

proies prédateurs

[kindred grove]

genre des modèles proie-prédateur/LotkaVolterra

oui

[vapid pilot]

Mais c'est les matrices ça

[gritty flax]

c'est un système différentielle surtout

[kindred grove]

ou pour revenir 5 ans en arrière, les modèles SIR pour les maladies infectieuses

et bam covid

[vapid pilot]

Modeles sir?

[kindred grove]

ça en jette mais faut être prêt à en parler un peu plus après

[kindred grove]

oui c'est le nom

[vapid pilot]

Donc je fais 3 parti un sur chaque modele?

[gritty flax]

non c'est plutôt en ouverture comme platypus t'a proposé

[kindred grove]

oui parce que les deux trucs que t'as 10min c'est pas de tout repos déjà

tu peux meubler du temps de question avec une explication d'un autre modèle un peu fun comme ça, s'ils veulent que tu développes

[vapid pilot]

J'avoue pas bête

Ça dure 1 min

[gritty flax]

même un peu plus si il faut

[vapid pilot]

T'es sur?

[gritty flax]

sur des modèles comme ça il y a matière

après il faut choisir ce que tu veux et ce qui t'intéresse par rapport à ce que tu décris déjà

[vapid pilot]

Dacc

Bon je vais dormir 😭

C'est possible de reprendre plus tard ...?

[gritty flax]

si tu veux

tu peux ouvrir un channel instant et me ping si tu veux btw, pas besoin de passer par discussion

[vapid pilot]

Après je veux pas te déranger tu dois avoir d'autres choses a faire sûrement

[kindred grove]

aussi tip général quand tu fais des oraux, en général vaut mieux partir du concept que le temps que tu vas passer pour le vrai oral est probablement un poil plus long que tes estimations/tes oraux blancs

[gritty flax]

dommage que tu ne puisse pas utiliser un tableau ou projeter un powerpoint

[kindred grove]

a minima juste pour une question de nerfs, t'es plus flippé parce que c'est le vrai truc

c'est pour ça que je suis très dubitatif sur ton 4.

[vapid pilot]

Je vais le changer je pense

Et je vous montrerai ce que je vais dire si c'est possible ?

[gritty flax]

je pense que si tu arrives à faire l'ouverture sur un modèle proie préda ou SIR c'est plutôt très bien

[kindred grove]

il y a pas vraiment de structure dedans, c'est des trucs un peu hors de l'ordinaire donc tu vas pas être super chaud dessus + tu vas certainement un peu déborder en temps sur les autres parties

le combo des trois ça fait un peu cata

[vapid pilot]

J'avoue

Bon a la prochaine demain je dois me lever a 6 h 🥲

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[oak ruin]

Just started studying topology can kinda unsure of how to approach this

[brittle parcel]

what rules or definitions about open sets are you working with?

[nimble crane]

suggestion/hint if you really are stuck: ||union||

[oak ruin]

I think I got it

Because $A = \bigcup_{x \in A} U_x$

[glossy valve]

Ari

[oak ruin]

since A is the union of open sets, it's open

[brittle parcel]

yup. you just should say the reason in words

[nimble crane]

yeah

[brittle parcel]

you got it

[oak ruin]

thanks

[nimble crane]

good job!

[oak ruin]

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[crystal maple]

hello

[crystal maple]

I am new to the server and I am at the end of grade 8, anything that I could do for high school like topics (I am doing physics on khan academy atp but any math topics would be helpful and suggestions). I want to work on them and see improvement

[oak ruin]

What kind of math do you want to learn?

And what have you studied so far

(i.e algebra, geometry, etc.)

[crystal maple]

I love algebra

[crystal maple]

ok so, algebra, geometry, financial literacy and like foundation in the beginning.

[oak ruin]

You could try to learn precalculus

or trig

[crystal maple]

in grade 9?

[oak ruin]

Do you know what class you'll be taking

usually you don't get much choice in grade 9

[crystal maple]

yeah

its just math

idk the topics

but i want topics to work on

Would be appreciated for suggestions

<@&286206848099549185>

[bitter rivet]

hi, i know i am not a helper and that this chat is ocupied but, since i took the honors class this year, i may help, i still have all my paper work, but i would need some time to find the topics, in specific

[crystal maple]

what?

Idk the topics

its just "math"

the subject

ok right now, I got trigonometry and precalculus as 2 like solid suggestions

[bitter rivet]

oh, i though you also wanted the topics for physics class

[crystal maple]

physics?

nah not really

[bitter rivet]

i assumed since you said you were taking it in khan academy

[crystal maple]

oh yeah im self-studying it since i love physics and biology but im not doing biology at the moment.

[bitter rivet]

since you are about to enter 9th grade, you could try to focus on algebra 1 first, that's what all 9th graders take at my high school

[crystal maple]

oh i did that a while ago on khan academy

its just i didnt understand it that much

i need like some resources

[bitter rivet]

i am not sure if i can help you with that then, but i wish you luck. good bye 👋

[crystal maple]

ok, thanks.

[crystal maple]

question for anyone btw

<@&286206848099549185>

been a whole hour bruh

[tender salmon]

Is This up to the level of algebra 2 rn, cause if it isn’t I’d suggest looking into that
I’d also suggest looking over algebra and geometry again since you mentioned not fully understanding algebra much

[crystal maple]

no i love algebra

i don't like geometry

and algebra 2 is way too high

thats like grade 10

/11

[tender salmon]

Alright, I’d suggest looking more into algebra rn then and reviewing it more

[crystal maple]

ight ill do algebra 1 then

and trig and maybe uh precalc

[tender salmon]

If your advanced enough you can take it

[crystal maple]

ill see

[full forum]

@crystal maple Has your question been resolved?

[crystal maple]

Can someone help

Bro

[young night]

whith what

[crystal maple]

High school math

On what to take

[young night]

what about it\

[young night]

which math you doing right now

[crystal maple]

And resourc3s including it

[crystal maple]

Idk

It's everything ig

[young night]

like what subject in school bruh

are you homeschooled

[crystal maple]

Math broski

[crystal maple]

Buddy no

It's just math idk the sub topics

Canada

[young night]

like what math math 8

algerba 1

like what type

[crystal maple]

What?

[young night]

whta type of math

[crystal maple]

I lit Said uts just math

[young night]

like post what type of math you doing in school

[crystal maple]

Mate

I'm in grade 8 rn

We havent

Started

Why is everyone so confused on what topics to suggest for grade 9

[young night]

then just do grade 8 math

if you havent done that

[crystal maple]

Oh my days

It's the end bro

And it's easy

[young night]

then do 9th grade math

[crystal maple]

yeah like what

[young night]

idk what type that is for yuou

[crystal maple]

Mate

[crystal maple]

Bro

[young night]

like the subtopic you idiot

[crystal maple]

Algebra 1, trig,

[young night]

like should i refcomond you calcuaus

[crystal maple]

WE HAVE NO SUBTOPICA

[young night]

for linear algerba

[crystal maple]

It's just the curriculum

Lol

Like holy

just say something like trigonometry or precalc

it aint that tough mate

holy

[crystal maple]

IDK, THATS YOUR JOB YH?

[young night]

i dont get paid enouygh gfor this shit

[crystal maple]

buddy

u don't get paid in general

ur pregraduate

lmao

ima just wait for the next helper

[young night]

yes i do

get paid

[crystal maple]

<@&286206848099549185>

[young night]

this is why i am not a mod

i couldnt care enough

[crystal maple]

cool

[young night]

i would have banned you by now like wrong topic even

[crystal maple]

lol

your talking

I would have banned you because of arguing and being stupid

like bud im talking about the math course in high school as a whole

YOU suggest the sub topics

not me

[young night]

like wrong topic even

[crystal maple]

what is bro saying

ok lets make it even simpler for you

what topics would you suggest to work on in general (i.e, algebra 1, trig, precalc, data analysis etc.)

[crystal maple]

i agree with him.

[crystal maple]

and that

ill leave this for the night but rn im thinking of trig and precalc

[young night]

if you ididnt even though to algrba 1 then why go to trig

@crystal maple

[crystal maple]

oh

cuz like

i did a bit on khan academy

5 units

[young night]

do all of it

[crystal maple]

k

is there resources

or should i just go to my local library and get a book

[young night]

get a book if you self study

[crystal maple]

ok sure

ight ty i think thats enough

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[steel pewter]

yo?

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[stable granite]

There are several open (free) textbooks that you can begin with:
(1.) https://open.umn.edu/opentextbooks/
(2.) https://openstax.org/subjects/math

When you review any topic in a textbook, solve the problems and review the answers at the back of the book.
To solve more problems from standardized tests/exams and check your solution, this is a valuable resource that you can use:
(3.) https://successexams.appspot.com/
Contents are updated frequently so check back often for more questions and solutions.

Feel free to ask questions on any topic that you do not understand.
Feel free to share with others.

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[thick hedge]

Sorry if I'm missing smtng, but how would this subspace have the zero vector if x_k≠0 only for finitely many k

[twin wolf]

Wai

[nimble crane]

because x_k is not 0 for finitely many k

and 0 is a finite number

it could be the case that x_k is never nonzero

then you have the zero vector

[thick hedge]

no, my question is we can't have all x_k=0, right

[nimble crane]

we can

x_k is not zero for finitely many k

[thick hedge]

oh, Not

got it

[nimble crane]

the condition does not say that x_k is 0 for finitely many k

[thick hedge]

got it

thanks

showing closure under addition is going to be hard

[nimble crane]

why do you think so?

[thick hedge]

We have to ensure x_k≠0 only for finitely many k

I have to show if all x_k=0, we have a contradiction

[nimble crane]

that's not what you have to show to get closure under addition?

you have to show that if v_1 and v_2 are in U, then v_1 + v_2 is in U

[thick hedge]

I have to show if I add two vectors, I still end up with not all x_k≠0

[onyx glen]

U

not F^infty

[nimble crane]

oops, my bad

thanks for the correction

[onyx glen]

no you're kinda thinking about it from the wrong angle

the condition for a vector to be in U is that it has finitely many nonzero components

you need to show that the property of "having finitely many nonzero components" carries over from two vectors to their sum

[thick hedge]

Let $v= (x_1,x_2,\dots ) \in U$. Thus let $x_k \neq 0 at m < \infty places$. Similarly $w ={y_1,y_2,\dots) \in U$. Let $y_k≠0 at n< \infty places.$ Thus the maximum number of non-zero places in v+w. would be $n+m< \infty$. Thus $U$ is closed under addition

[glossy valve]

wai

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@thick hedge Has your question been resolved?

[thick hedge]

Does this work

[onyx glen]

your tex kinda stinks but yeah sure it works ig

[thick hedge]

Thanks!

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[buoyant inlet]

where does the 6itheta come from?

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[timid fossil]

stuck on the first part. i have not gotten to the second part yet

This is what i have done till now

But i dont know how to prove if there exists a point of inflection in the graph, what value of k will make the line tangent at that point to the graph, or if a straight line cuts through the graph when trying to join the origin and the maxima making it impossible for the maxima to be the point of tangency.

Part b is a whole another problem which, again, I do not know how to approach

please help 🙏

(im trying not to use desmos for the graph, so if you could please avoid desmos)

[full forum]

@timid fossil Has your question been resolved?

[timid fossil]

<@&286206848099549185>

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@timid fossil Has your question been resolved?

[vernal perch]

might be a dumb assumption but wouldnt just y=0 make the max space in the first quadrant?

[timid fossil]

the line is supposed to bind the region from above you know.
so it has to be upper limit of the region

y=0 makes it lower limit

[vernal perch]

oh my bad, read it wrong

[full forum]

@timid fossil Has your question been resolved?

[timid fossil]

uhh

<@&286206848099549185> again ig. hope i dont get banned for pinging again but its been quite a while

[misty violet]

Will k be 0? Just asking .. not sure

[timid fossil]

it'll result in the line y = 0
which will end up making it the lower limit of the area tht will be obtained

the question says the line should be the higher limit and the other function is the lower limit of the bounded area

so nah

[misty violet]

Yea

I misunderstood it

[misty violet]

Did you get k?

I think we can find the point where the line intersects the curve in terms of k..
And I guess the line will also be a tangent at the point of intersection..

[timid fossil]

ive gotten to the point where i have proved that the maxima cannot be the point of tangency, and thus there is some point of inflection in the graph which will in turn become the pt of tangency.

but what the exact coordinates are of tht point

idk how to find tht rip

[misty violet]

You will get k theoretically

Taking the point as (t,tk)

The point also lies on the curve (eq 1)

Slope of the curve at that point is k (eq 2)

[misty violet]

2 eq for 2 unknowns is solvable

[timid fossil]

can u send a written soln if possible...

nvm actually ur right

[misty violet]

Sorry but no

[timid fossil]

tried it out

i have a slight problem doe

its not the same as pt of inflection

how is tht possible?

[misty violet]

doe?

[timid fossil]

corrupted gen z lingo.

though

whatever

its a satisfactory answer.

thanks

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[young night]

can someone check if this is right

[full forum]

@young night Has your question been resolved?

[waxen flax]

for (e) the range is [-4,2] since for f is [-2,4]
Also for the whole exercise I assumed when you wrote “for example” those were points in the real graph of whatever function was discussed, that's somewhat misleading

It would be helpful for a quick comparison to draw the original graph of f and that of the transformation overlapped (with different colours maybe) going back and from is very annoying and easily leads to mistakes

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[young night]

.reopen

[full forum]

✅

[ember cosmos]

bbhbhbhvgfgxcxcv v xvczxcxedrxcxfcgcrcvbdfs dfct rvdd cvb ;o'#=

[full forum]

@young night Has your question been resolved?

[young night]

?

<@&286206848099549185> is this fine or not

[brave ruin]

What is that? Any context?

[young night]

like the problems scrool up

[mild heron]

[young night]

?

is it fine

[young night]

is it fine

help someone

[indigo frost]

one question at a time bro

[brave ruin]

I am checkinh wait

[young night]

here ia the resne timages

done

[brave ruin]

e) wrong

Explanation is correct but you flipped the graph wrong

[young night]

for which one e for 2 or 3

[brave ruin]

Range should be -4,2

[young night]

for 3e

or 2e

@brave ruin

[brave ruin]

3 e

[young night]

i put the range as -4,2 but how is the groah wrong

and is that my only issue

[young night]

thanks and is that my only issue

and how is grpah wrong

[brave ruin]

I read till 3c

[brave ruin]

You did same mistake there, range, it should rise till (-1,2)

But you stopped at (-1,1)

[young night]

oh i fixed that

is that all am i fine

[young night]

so i am fine

then

@brave ruin so the rest is all fine

then right

[brave ruin]

Range should be [-1,2]

And graph is also wrong

It should be reflected along x axis 3. D

Is that -1/2 or just 1/2?

Cause you did it assuming -1/2 but in the text sometimes -1/2 is used and sometimes 1/2 is used

If you think -1/2 is correct and that's just misprint, then your work is correct

[young night]

it should be -1/2f(x-1)

[brave ruin]

3. H, everything is correct but right end point should be (3,1) and not (3,2)

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[young night]

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[clear pumice]

<@&268886789983436800> 🙏

#help-35

[onyx glen]

offering money for homework help or vice versa is explicitly against the rules.

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[crystal furnace]

What do I do from here

Part I)

[misty violet]

The second line is wrong

That's not how you differentiate

[crystal furnace]

is it not te product rule???

[misty violet]

It must be sin there

[crystal furnace]

oh shi im silly

[misty violet]

And there should be another cos

[crystal furnace]

???

[misty violet]

Do you know the chain rule??

You have to further differentiate the sin

[crystal furnace]

o so cos squared???

[misty violet]

Yes

[crystal furnace]

ah got it

tank u

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[crystal furnace]

How do I do part ii)

[lunar veldt]

use this $x^n=x^{n-1} (x+1)-x^{n-1}$ to get a new expression of $I_n$

[glossy valve]

tm

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@crystal furnace Has your question been resolved?

[crystal furnace]

Still stuck :c

[lunar veldt]

no its good lol

keep $I_n=\int_0^1 \frac{x^{n-1}dx}{x+1} -I_{n-1}$

no need to go any further

[glossy valve]

tm

[lunar veldt]

remember that $I_n= -1/2+n\int_0^1 \frac{x^{n-1}dx}{x+1}$, isolate the term $\int_0^1 \frac{x^{n-1}dx}{x+1}$ for the 2 equations u got and then u should get the recurrence relation

[glossy valve]

tm

[crystal furnace]

where did you get that fact from

the In = -1/2 blash blah

[lunar veldt]

from this

[crystal furnace]

Bruhhhhhh i have to do both?????

[lunar veldt]

you have $I_n= -1/2+n\int_0^1 \frac{x^{n-1}dx}{x+1}$ and $I_n=\int_0^1 \frac{x^{n-1}dx}{x+1} -I_{n-1}$

[glossy valve]

tm

[crystal furnace]

equate them yea???

[lunar veldt]

yes by isolating $\int_0^1 \frac{x^{n-1}dx}{x+1}$

[glossy valve]

tm

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[crystal furnace]

ok thank u i ot it

[crystal furnace]

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[lunar veldt]

u welcome

[crystal furnace]

How do I do this

Is by parts even the right approach

[sonic trail]

this is a long problem

but yea its int by parts

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[bitter pier]

hello. here is my problem. I need to calculate some ratio stuff to learn about a video game

[bitter pier]

one factory gives 5 unit of work per day. fifteen factory can work at the same time to build a structure.

the structure cost 10800 unit of work to be build.

but infrastructure comes in play with a bonus in construction.

infrastructure levels give bonuses like this:

lvl 1. = 1.2

lvl 2. = 1.4

lvl 3. = 1.6

lvl 4. = 1.8

lvl 5. = 2

so for example, the bonus works like this.

"you have lvl 4. infrastructure, therefore, your buildings are 1.8 times cheaper to build."

I want to know the real price of the said structure (10800) by each infrastructure levels

tell me if you want any other details.

[bitter pier]

(Cheaper or faster I don't really know where the bonus takes place but I assume it gets cheaper)

I know how to make ratios but not like negatives one. because here, the ratio increases but the price decreases and I don't know how to do that.

[knotty grail]

you mean that if infrastructure is lvl 5 for example, then only 5400 units of work is needed?

[bitter pier]

yeah

[knotty grail]

just divide 10800 by the multiplier then 🤷

[bitter pier]

thx

it felt harder than this

[knotty grail]

level 1 needs 10800/1.2 = 9000 units

[bitter pier]

I feel so dumb thank you

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[tame elbow]

Ermmm so my tuition teacher did these workings for this PNC question but I’m not sure why for case 2, it’s 5•5 MINUS FOUR. Shouldn’t it be -5 since we exclude 1,1 to 5,5 where B and C are the same

[raven river]

PEMDAS?

[tame elbow]

Sorry…?

[raven river]

It excluded 4 cases of the 25 from 5*5.

[tame elbow]

Yah but shouldn’t it be 5 since 1,1 to 5,5

[raven river]

No?

[tame elbow]

But why we exclude 1,1 tho

Sorry I’m really confused

[raven river]

I am genuinely confused about what you are describing, but I don't think it's that complicated?

[tame elbow]

Hmmmm ok sorry 😅

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[abstract crater]

Factorize x^3 - 27x + 54

[indigo frost]

!status

[full forum]

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 was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

[abstract crater]

This is a cubic polynomial.

[green merlin]

interesting problem

i would guess root

or i would use cardano formula

[exotic meteor]

cardona's formula

[green merlin]

if i remembered it 😭

[exotic meteor]

cardano's

[onyx glen]

RRT tbh

hope you luck into a root

[green merlin]

rational root theorem?

[onyx glen]

go from there

[covert goblet]

Well by looking at it there are a lot of multiples of 3s

[green merlin]

ya guess root

[green merlin]

This stupid method actually helped me a lot

[indigo frost]

rational root always gives at least one right root ?

or you'd need luck

[green merlin]

l u c k and a lot of it

cant see anything atm

[restive geyser]

(not me both times misreading the l)

(here I'll just take this "L" instead lol)

[brittle parcel]

it gjves you all the rational roots there are, which might be 0

[indigo frost]

oh

with all the numbers out their an equation may not have a solution , interesting

[green merlin]

o shit

@abstract crater

[brittle parcel]

an odd power polynomial with real coefficients always has a real root, though

[green merlin]

||x=3||

How tf did i not see

then long division and were done

[indigo frost]

,w 54/3

[glossy valve]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by rajlo2

[onyx glen]

no it doesn't

what it does is narrow down the search space

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[short ermine]

i dont understand what theyre doing here

how did the theta change itno 30/c

and how is that a chi-squared 30 distribution

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[gritty rose]

They divided both sides by c, theta, and multiplied both sides by 2 * 15

[short ermine]

and whats the reason behind doing that

[gritty rose]

to use the table/software

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[icy siren]

Hi guys, i need to find the eigenspace $E_4$ and a basis of $E_4$ of $A$. I got $E_4 = \text{Span}((1, 1, 0, 0), (-1, 0, 1, 0), (1, 0, 0, 1))$. I can see that it is linearly independent, is that enough for it to be a basis of $E_4$?

[glossy valve]

p1za

[icy siren]

and if so, why?

can i assume that if I need to find an eigenspace of some eigenvalue, the basis is the eigenspace itself?

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[icy siren]

<@&286206848099549185>

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@icy siren Has your question been resolved?

[rapid rain]

There are many ways to do this

first of all

when you're solving the equation AX = 4X

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[rapid rain]

you should find that exactly the linear combination of that supposed basis you found are solutions

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[minor crater]

i don't have any questions about the theorem (yet, at least) but what bothers me is the last sentence

is it really the best way to write that?..

i am going to be presenting this stuff and i feel like this is a lame way to express what the last sentence is saying

but i am not sure if there's a nicer way

hm maybe:\
Then $X\subseteq A_i$ and $X\cap A_j = \emptyset$ where $i,j\in{1,2}$ and $i\neq j$

[glossy valve]

artemetra

[minor crater]

yeah i like this much more

maybe replace where with "for some"

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[shrewd bloom]

How do I solve this? The problem might not involve excusively maths but I don't know where else I was supposed to send this. The actual answer is not given in case you are wondering:

[onyx glen]

are we meant to magically guess the rule ourselves

[winter rune]

sry, but any mathematician would say "impossible"

[shrewd bloom]

yes, we are

[onyx glen]

not a math question then

[copper cape]

22 Maybe?

If it's purely a thinking problem might just the values of one quarter should somehow add up to the opposite quarter on the outside

and on the inside something similiar

then A=22

B=0

?

[winter rune]

that wont work

[unique wagon]

maybe adjacent quarters

[winter rune]

10 and 24 are even
and then 32 is even, but othe than possibly A those are the only even blue

9 24 63

where are they getting 7 from

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[half oyster]

integral from -1 to 2 of (-|x|)dx

[half oyster]

I did -|x|^2 / 2

then I plugged in upper and lower bound and did F(b) - F(a) but that's wrong ig

it's gotta be smth to do with the abs value surely

[twin wolf]

just look at the graph of -|x|

no need for integration

[twin wolf]

its because you need to split the abs value into cases

[half oyster]

is this true for abs value always?

I saw this

so ig you take positive x because it's increasing from -1 to 0. then -x bc 0 to 2 is decreasing?

[twin wolf]

you can take the - sign out of the integrand btw and just integrate |x|

[half oyster]

,w integral |x|

[glossy valve]

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[half oyster]

sgn?

[twin wolf]

these are not the same

[half oyster]

wdym

is the approach right tho?

[twin wolf]

i mean when you look at the actual value for LHS and RHS they do not equal eachother

[half oyster]

don't get mad but gpt said this

so u think the approach it took is wrong?

I'm kinda slow sorry

[velvet sedge]

sgn(x)= 1 if x>0 and -1 if x<0 and if x=0, 0

[twin wolf]

,oh wait sorry i looked at the bounds wrong

[half oyster]

okay bet so it's the same

wait

why isn't it like this

[velvet sedge]

because the minus moved outside

[half oyster]

oh right

[velvet sedge]

scalar property of integrals

[half oyster]

yeah right mb

okay so for abs values I'll just remember to break it up like this and solve

thanks so much

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[void widget]

Why does image of A with respect to the angle bisector of B gives an image on the line BC

[twilit leaf]

ASA

[void widget]

Oh both the triangles are congruent

Got it

Thanks

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[eager gale]

can i pay for help on sat prep? some questions i just cant understand can screen share

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[gilded thorn]

Help

[gilded thorn]

How do I do the R

Formula

The 2nd one is done

[midnight acorn]

Correlation formula?

Depends what we are working with

What values are you inputting

[gilded thorn]

This one

[midnight acorn]

Huh

Thats weird

You should be fine

[gilded thorn]

Am I fine?

Ok

[midnight acorn]

I mean if you did standard deviations correctly

And the summing parts

[gilded thorn]

How to do the 2nd r

[midnight acorn]

It looks right to me

Wym second r?

[gilded thorn]

This part

[midnight acorn]

Simplify?

Idk what you mean by second correlation

[gilded thorn]

Ok

Why there's no x y here

[midnight acorn]

Wait so you solved for the regression

Dont you need to use the correlation coefficient with some constant to make an equation for regression?

[inland moth]

he in fact, did not do the summing parts correctly

[inland moth]

didn't i tell you before that sum of y² is not 362

[midnight acorn]

Ngl im not gonna cap I was barely checking

I basically assumed he used a calculator to check

[inland moth]

,w 12^2 + 25^2 + 18^2 + 10^2 + 15^2 + 22^2

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[gilded thorn]

Yup

[inland moth]

,w 1(12) + 2(25) + 3(18) + 4(10) + 5(15) + 6(22)

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[inland moth]

you also messed up in your sum of xy

please check each of these sums carefully

[midnight acorn]

Thank you for checking cause im ngl I assume that people will use a calculator to always check their answers. The process was correct though.

[gilded thorn]

Thanks I'll redo and ask after I finish it

[gilded thorn]

Which part did I mess it up

[inland moth]

just your arithmetic

type calculator better

[gilded thorn]

Ummm ok

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[hushed barn]

Hellooo. This isn’t a problem I’ve received but a question I have discovered from playing around things. First of all, I was interested in infinite power towers so I examined the graph y = x^x^x^…. Then I saw that you can rewrite this as y = x^y (for obvious reasons), so I could easily plot this graph on Desmos. Now there was this point on the graph that I got interested in, mainly the point where for any x>z for z is a real number, the function isn’t defined. I zoomed in onto this point and found out that z is really close to e^(1/e). But then from an online source it says that the function is bounded at x = e^(1/e) by something called the Lambert function. Now I’m still in pre-university, so I don’t really have an idea about what it’s about, but I’m still interested in having a picture as to why it’s bounded at x = e^(1/e)

[umbral dome]

so you can rewrite that as [ x = \sqrt[y]{y} ]
then the maximum value of $x$ for which that is defined is also the maximum value of $x$ achieved if you view $x$ as a function of $y$ (so you can find it with calculus methods)

[glossy valve]

cloud

[hushed barn]

Ohhh okay. I see. And which calculus method would you probably use for this?

[umbral dome]

like you can view it as a problem of finding a relative maximum of a function

[hushed barn]

Yes, I understand that

[umbral dome]

taking [ x = f(y) = y^{1/y} ] then the number you're interested in is the absolute maximum of that function

[glossy valve]

cloud

[umbral dome]

if you're interested in taking the derivative of that function then it will help to rewrite $y = e^{\ln y}$

[glossy valve]

cloud

[hushed barn]

Ah ok I see

I hope I can learn how to do this soon hopefully

It’s very interesting

Thanks :)))

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[celest tapir]

In one out of 6 cases. material for bullet proof jackets fail to meet puncture standards, 405 specimens are tested, what does Chebyshev’s theorem tell us about the probability of getting atmost 29 or more than 105 cases that do not meet puncture standards?

[celest tapir]

Kind of confused on how I'd set this up