help-0

[lone heart]

@sturdy glen Has your question been resolved?

[tacit arch]

The normal vector to the surface is (0,0,1) because of the description of the boundary

"unit square"

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[dull lily]

@covert agate

wait really stupid question

[covert agate]

?

[dull lily]

we know that once we set them equal its x = 2

[covert agate]

yes

[dull lily]

how do we find the equation again?

[covert agate]

the line passes through (2, y(2)) and has a slope of 32

the rest is easy

[dull lily]

im sorry my brains not exactly working

do I just plug in 2 to y = x^4+1

and get the y value

[covert agate]

yes

we're interested at the tangent line of the graph at x = 2

[dull lily]

so would the equation lok like

y - 17 = 32 (x-2)

y = 32 (x-2) +17?

[covert agate]

yes

[dull lily]

got it! Thank you So much!

.close

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[alpine sable]

how is $2\ln|x+1|+\ln|x+2|+c = \ln|(x+1)^2(x+2)| + c ?$

[ocean seal]

ZED_118

[buoyant kayak]

log rules

[alpine sable]

oh wait

yeah

lol

.close

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[simple elm]

what is the primitive function of 8x-1?

[simple elm]

i know that its reverse deriving but

i dont know what function would have that derivative of 8x-1

[pale kestrel]

antiderivative

So do it term by term...

[simple elm]

i tried to do it by the primitive function rules but its not working

[pale kestrel]

what differentiates to 8x?

or even, what differentiates to 2x

[simple elm]

i actually have no idea what function would have 8x as their derivative

the x^2 rules doesnt work here

-1 would be the derivative of -x

but 8x? i got no idea

[pale kestrel]

I am asking about 2x

[simple elm]

x^2 would be the anti derivative

[pale kestrel]

good

Now you want 8x

thats 4 times bigger than 2x...

[simple elm]

4x^2?

[pale kestrel]

exactly, check?

So now let me ask you what the antiderivative of x should be

[simple elm]

no clue

-x

no thats wrong

i dont know

[pale kestrel]

you said x^2 goes to 2x

now we want x

[simple elm]

1

is it 1

[pale kestrel]

no

[simple elm]

then i have no idea

[pale kestrel]

0.5 x^2 differentiates to x

1/2 of x^2

yes?

[simple elm]

yea

[pale kestrel]

You should realise scaling works the other way round

[simple elm]

this so hard the other way around lol

i never thought about it this way

[pale kestrel]

$$\dv{x}\left(\frac{x^{n+1}}{n+1}\right)$$

find this for me.

[simple elm]

i could have derived that function easily but no the other way around xD

[ocean seal]

Shuri2060

[simple elm]

i know this rule

but i dont know what to do to get -1

[pale kestrel]

I thought you knew how to differentiate?

[pale kestrel]

Differentiate this first

You need to know how to do this

before doing the rest of your exercises

[simple elm]

x^n

[pale kestrel]

So whats the antiderivative of x^n?

Now you should be able to integrate anything with powers of x in it...

You should notice scaling the derivative scales the antiderivative

Now back to the question you know how to find it for 1?

-1 is 1 scaled by -1

[simple elm]

-x+c ?

no its not

[pale kestrel]

differentiate -x...

Not sure what your confusion is but...

[simple elm]

i dont understand that word

but 4x^2-x+c is the primitive function

i got it

[lone heart]

@simple elm Has your question been resolved?

[simple elm]

okay i need more help

f(x)=(x^2)/2+2x-2

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[peak niche]

Please can someone help me how to answer these questions? I have a classwiz fx-991EX

[wary stream]

Classwiz fx-991Ex? What's that

[crimson carbon]

a calculator

[lone heart]

@peak niche Has your question been resolved?

[crimson carbon]

a sexy ass calculator

I got the fx-991ARX

[coral moss]

use the tables which are at the back of the formula book iirc or usually at the back of whatever textbook you might have

actually i think your calculator is "new" enough that you can do binomial distribution on it without needing the table

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[limber shard]

If x is a vector, then what is the difference between these two?

x >> 0
And
x > 0

Where 0 represents 0 vector.

[glass lichen]

with context?

[warped jolt]

Without any context my guess is >> implies a lot greater than 0

But I don't know why it would be used for vectors

[limber shard]

No with vectors it is different I think.

[glass lichen]

What's the context.....?

[limber shard]

This is the context

I don't know if it answers your question

[glass lichen]

it defines the notation

$\vec{p}>\vec{0}\iff p_i>0$ for all $i$

[ocean seal]

Mosh

[limber shard]

Ya but check at the bottom of the page. My professor has used >> there and I think it means the same

[glass lichen]

p_i >> 0

for all i

[limber shard]

So you mean p_i is much greater than 0?

[glass lichen]

yes

[limber shard]

For all i

But it doesn't work like that in economics. We don't need that vector to behave in that manner (p_i >> 0).

I think I should just clarify it from the professor.

[glass lichen]

That's my best guess

Yeah

[limber shard]

Anyway. Thank you so much!

.close

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[stable panther]

is (x+7)(x-4) the same as (x-7)(x+4)?

[stable panther]

when i distribute them i get different results for some reason

[warped jolt]

They aren't the same

[stable panther]

Wait... so if i factor them, should i have an order?

[warped jolt]

What do you mean?

[stable panther]

alright hold on a sec, let me back track my math here and ill be back in a minute

[stable panther]

Sorry, i've made a mistake, i forgot something called communicative property...

[warped jolt]

Commutative, yes

[stable panther]

Oh yes yes

anyways, thanks man

[warped jolt]

Np

[stable panther]

.close

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[wet spindle]

if you know 2 coordinates in an exponential graph, you can use this formula to find the equation

[lone heart]

Please don't occupy multiple help channels.

[wet spindle]

can you also use it to find an equation given 3 coordinates?

I know the formula to find the equation when given more than 2 coordinates, it's this one, but can you use the previous formula to do the same thing?

[serene junco]

No. Two points uniquely define an exponential function if you don't allow a vertical shift

[wet spindle]

what about when you're given more than 2 points?

[serene junco]

Sorry, I'm on mobile and those keep popping up

You mean you're given more than two points and you're asked to fit them to an equation of the form y=ab^x?

[wet spindle]

yes

[serene junco]

Then just choose two and use them the way you normally would.

The rest should fit automatically

[wet spindle]

then what's the point of this equation then?

[serene junco]

Or use that.

[wet spindle]

oh wait

[serene junco]

I asked if you needed to use the form ab^x and you said yes

[wet spindle]

yeah I didn't pay attention to that

alright get it

thanks

.close

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[remote berry]

@ me if you reply thank you

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[glass tree]

Well I’ve been redirected here again. I’m trying to find all integer solutions to $n^{2}=\left(2xy\left(2x-y\right)\right)^{2}+\left(z^{2}\left(x-y\right)\right)^{2}$

[ocean seal]

Chixen

[glass tree]

I’m honestly looking for a discussion of this problem as it’s not something that can be easily walked through.

[drifting hull]

yes, it looks tricky

[glass tree]

Well I knew that.

I tried doing something like $2ab=2xy\left(x-y\right)$ and such but it didn’t help.

[ocean seal]

Chixen

[drifting hull]

you can write each pythagorean triple (x,y,z) as x=c(a^2-b^2), y=2abc and z=c(a^2+b^2) with a,b,c natural numbers. maybe you can work with that

[glass tree]

Yeah I did that

#help-0 message

It didn’t help

[drifting hull]

are you only interested in the possible solutions for n or in everything?

[glass tree]

everything

I’m actually mostly interested in finding a way to generate solutions

[drifting hull]

if you have a solution, you can multiply x,y and z by a number m and n by m^3, then you get another solution

but of course you don't get all solutions in this way

[glass tree]

Yeah. I know nontrivial solutions exist because I’ve made a brute force program that looks for them and it found a lot

the smallest one is (1,4,3)

as well as (1,3,4)

I want some way to generate all nontrivial solutions.

[drifting hull]

its probably almost impossible

[glass tree]

I didn’t see any pattern in the solutions though.

[glass tree]

maybe. I wouldn’t know how to prove it tho.

[drifting hull]

such proofs usually are insanely hard...

[glass tree]

hm

Well, where can I start?

[drifting hull]

no clue

i suggest you ask in #elementary-number-theory , but i don't know

[glass tree]

another redirect aaa

[drifting hull]

you can also wait for someone else to come...

[drifting hull]

how often were you redirected?

[glass tree]

Well I was redirected from help channels to discussion to help channels to #elementary-number-theory

[drifting hull]

i don't know, but i think the chances there are better than here

[lone heart]

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@glass tree Has your question been resolved?

[lone heart]

@glass tree Has your question been resolved?

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@glass tree Has your question been resolved?

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[sick phoenix]

Could someone show me the step by step working for 8ii

[glass lichen]

find the vertex of the A(r) function

[sick phoenix]

Like this?

Nvm I got the answer!

[sick phoenix]

Ty 😄

.close

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[glass lichen]

Yeah just complete the square (properly, not how you did in the ss)

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[wheat nova]

can someone teach me this

[wheat nova]

Ken borrowed an amount of money from Noah. He agrees to pay the principal plus interest by paying 38,973.76$ each year for 3 years. How much money did he borrow if interest is 8% compounded quarterly?

[bleak ridge]

Do you know compound interest formula

[wheat nova]

yeah?

p(1 + rate/n) is it?

[wary stream]

No

[wheat nova]

no?

[wary stream]

That's not the formula

[wheat nova]

then what

[tacit arch]

https://www.cuemath.com/quarterly-compound-interest-formula/

[wheat nova]

yh

[wheat nova]

then like 39k(1+ 0.08/3years)^(3years)(4quarterly)??

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[alpine sable]

how do i find the fourier series of the 2nd function?

[alpine sable]

this integral outputted something nasty, it seems very wrong

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[livid reef]

help

[livid reef]

It is known that a tubular water reservoir with a diameter of 70 cm and a height of 50 cm with initial conditions fully filled, is used to drain water into a tub in the form of a block with a size of 100 cm × 55 cm × t cm from empty to full. Determine the height of the water in the tube after the water in the bath is full.

how do i do this

[placid zinc]

Compare volumes

[livid reef]

how

i cant get the volume of the tub because the height aint specified

[placid zinc]

Assume that you know t

Your final answer will include it

[livid reef]

so volume of cylinder - 5500t to get how much water left ?

[lone heart]

@livid reef Has your question been resolved?

[lone heart]

@livid reef Has your question been resolved?

[livid reef]

please someone answer

[serene junco]

You don't need the height of the tank.

We're asked to find the height of the water inside. We'll just assume the tank is tall enough to hold it

@livid reef you still here?

[livid reef]

yes

in the end the q ask for the height of the water in the tank after it fills the tub

in my mind, i have to subtract the full volume of the tub from the volume from the tank

[serene junco]

Ohh, I see, I misunderstood the question at first

[livid reef]

then get the height

[serene junco]

Yes, what you said here is right

The only thing missing is the volume of the cylinder

Do you know how to find that?

[livid reef]

ye i already did

[serene junco]

Then you're good.

[livid reef]

192000 cubic

192000 - 5500t = ?

how

@serene junco

[serene junco]

Without knowing t we can't be any more specific than that

Not sure you needed to round the volume of the cylinder though

[livid reef]

my teacher said there is a true answer

a round answer

[serene junco]

Do you have any other information?

Can you take a picture of the problem where it was given?

[livid reef]

its in indonesian

[serene junco]

That's okay, can I see anyway?

I don't know the language but I just want to see if there's any way we could find t

[serene junco]

Okay

I don't know if it's because of the translation, but I think we're misunderstanding the question.

I believe what we're supposed to do is empty all the water from the cylindrical tube into the tub, and find the height of the water in the tub

If we do that, the answer is actually 35 cm.

And then we don't need to know the actual height of the tub, we just need to assume it's tall enough to hold all the water

Does that make sense?

[livid reef]

oh what you mean is that essentially the tub and the tube have the same volume

[serene junco]

More like, imagine the tub is infinitely tall. How high would the water rise if the tube was emptied into it?

[livid reef]

or that we can assume that us the case

[serene junco]

We just need to find how high the water comes. It doesn't matter if the tub itself is 100 cm tall or 100 km tall

[livid reef]

so we would we do that

[serene junco]

You calculated the volume of the water in the tube as 192000

If all that water is emptied into the bathtub, how high would the water be?

[livid reef]

35cm?

[serene junco]

That's what I get

[livid reef]

but it ask for the height of the water in the tube after pouring it into the tub

[serene junco]

I know. I think the question is worded incorrectly

Because there's no way to answer that without knowing t

If we answer that question, our answer would just have to be in terms of t.

[serene junco]

If these are the choices, then there must be a mistake in the question

[livid reef]

i see

thank you

resolved

[serene junco]

You're welcome

[livid reef]

how do i

resolved

[serene junco]

it's .close

[livid reef]

resolve

.close

[lone heart]

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[alpine sable]

I need help something about slope intercepts

[alpine sable]

In the table*

[lone heart]

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[alpine sable]

<@&286206848099549185>

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[lethal dirge]

how do you interpret partial derivatives?

[alpine sable]

I think someone could come up with an even more inspired answer, but at least for functions of Euclidean spaces with just the reals as codomain, I think of them as taking a slice of the function's plot along the, say for example, x direction. @lethal dirge

and that slice will be a plane that has a plot of the function with respect to only that one variable, and it's just a 1d function on the reals that we are all familiar with

[lethal dirge]

0_0 im only in calc 2, so i dont know those terms : (

[lethal dirge]

yesss exactly

im taking calc 2 for biological sciences

[alpine sable]

I think they're really useful to know, which ones

[lethal dirge]

so we take pressure, and population, and temperature models into consideration

[lethal dirge]

the two fancy ones u mentioned ;-;

euclidean

oop just one

[alpine sable]

the Euclidean vector spaces are just R^n where R is the set of real numbers

[lethal dirge]

ohhhh i c i c

[alpine sable]

and do you know what codomain means

basically I was talking about functions that go from R^n -> R

[lethal dirge]

codomain is defo a new term for me

[alpine sable]

the codomain of a function is just the target set

[lethal dirge]

oh

[alpine sable]

the domain is the source set

[lethal dirge]

so its like a chosen space within a doamin of the functions

function?*

[alpine sable]

not necessarily within the domain

I could have a function that maps mario characters to colors

but green is not a mario character

[lethal dirge]

=_= hmmmmmmmmm

[alpine sable]

in this case the set of mario characters is the domain

the set of colors is the codomain

[lethal dirge]

hmm im slowly understanding it

[alpine sable]

and the range/image of the function is the subset of the set of colors that actually get mapped to by mario characters (the domain)

[lethal dirge]

hmmmm i c i c

[alpine sable]

nice nice

[lethal dirge]

im getting there

v slowly

brain rusty

thanks so mcuh for explaining those terms

those are wonderful terms to know

[alpine sable]

np!! yeah def

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[buoyant kayak]

what is your question

[silver bay]

having trouble finding c

[buoyant kayak]

do you know the three hypotheses of rolle's theorem?

assuming you did the first two...?

[silver bay]

yeah

i did the 3rd too

[buoyant kayak]

oh okay

[silver bay]

its good

[silver bay]

idk how to find c

more like i dont know how to do the algebra

[lone heart]

@silver bay Has your question been resolved?

[lone heart]

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[alpine sable]

How to prove that?

<@&286206848099549185>

[lone heart]

@alpine sable Has your question been resolved?

[naive valley]

Integrate by parts twice?

[lone heart]

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[zenith olive]

hi

[zenith olive]

help pls

[rare verge]

2x^2+7x-15=0

[zenith olive]

ye got that

[rare verge]

solve for the roots

[zenith olive]

idk what to do after

[rare verge]

it equals

(2x-3)(x+5)=0

then either

2x-3 =0

or

[zenith olive]

huh

how

[rare verge]

x+5=0

[zenith olive]

3 and 5

[rare verge]

just factorize

[zenith olive]

doesnt that give 8

[rare verge]

(2x-3)(x+5) = 2x^2+10x-3x-15

= 2x^2+7x-15

wdym

[zenith olive]

uhmm

😕

[rare verge]

????????

[zenith olive]

confused

[rare verge]

im factorizing

[buoyant kayak]

don't do people's work for them

[zenith olive]

lol

[rare verge]

im leading

[buoyant kayak]

you're doing their work for them

[zenith olive]

oop

[rare verge]

i didnt give ans ._.

[buoyant kayak]

you've given like 4 answers

https://www.youtube.com/watch?v=v0dhpNnzZjA

[rare verge]

????

[buoyant kayak]

i'd suggest a video on factoring

[rare verge]

oh

[zenith olive]

btw what formula si that

is*

psf?

[buoyant kayak]

?

[zenith olive]

uhmm nvm

.close

[lone heart]

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[grave hamlet]

Simple doubt.

Let's say I have given this Property :
If A is in F
And B is in F, then A U B is also in F.

So if A U B is not in F, does that mean A and B not in F?

[drifting hull]

it means that at least one of A and B is not in F

[lone heart]

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[wet spindle]

a function has at least 2 variables right?

[wet spindle]

what about f(x)=5

[drifting hull]

A function is a map from one or more variables to a value

[little drum]

at least 2 variables? wut

f(x) = 3x + 1???

what's the two variable in that

[wet spindle]

map f(x) to y and you'll get 2 variables

[little drum]

wha

why map f(x) to y?

[wet spindle]

y = 3x+1 right?

[little drum]

no

that's an equation

for a straight line

that's not the same as a function

y(x) = 3x + 1, however is a function

[wet spindle]

oh

[little drum]

but here, it's still a one variable function ?????

what's the confoosion

maybe re read the definition of functions

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

[wet spindle]

but doesn't a function have an output and input variables?

https://jdmeducational.com/the-difference-between-functions-equations-3-key-ideas/#:~:text=So%2C what is the difference,%2C one%2C or more

I read it here

[little drum]

🤦‍♂️

[keen onyx]

maybe its domain and range

[keen onyx]

a function has domain and range

[keen onyx]

the domain here is every real number, and the range is only 5

[wet spindle]

are you saying this is wrong? @little drum

[little drum]

[x, f(x)] is ... ummm

well

[little drum]

nope. misunderstood the context

[wet spindle]

ok I'm even more confusion

[little drum]

a function is a map

a functional equation has two variables

and an equation may or may not even have a variable

[wet spindle]

so all functional equations have at least 2 variables

[little drum]

f(x) = f(-x) + x :o

one output variable f( ..... ) and one input variable "x"

[wet spindle]

ok what about this?

[keen onyx]

thats a constant function

[wet spindle]

alright

[keen onyx]

every x you input is mapped to 5

[wet spindle]

where's the input variable?

[keen onyx]

x is the input

f(x) is the output

[wet spindle]

ok what would you get from f(6)=5?

[keen onyx]

5

[wet spindle]

here, $f(x)=2x+4$ it's easy to get the output, you simply plug in any number you want to x and you'll get something like $f(2)=2(2)+4$ which means $f(2)=8$

[wet spindle]

is it because there's no x on the right side of the equation?

[ocean seal]

hyperlix26

[keen onyx]

yepp

[wet spindle]

here the input is 2 and the output is 8

[wet spindle]

alright lol

also, if functions can only output 1 result, what about quadratic functions?

[ocean seal]

hyperlix26

$f(x)=x^2-6x+5$ outputs $x_1=5$ and $x_2=1$

[wet spindle]

oh wait

are those called outputs?

[keen onyx]

thats the solutions for 0=x^2-6x+5

[wet spindle]

ohh

it's the other way around

[keen onyx]

for output, lets say you input x=0, ur gonna get 5 out of this function

[wet spindle]

yeah

[wet spindle]

they're also called roots right?

[keen onyx]

yeah roots

[wet spindle]

alright thanks

.close

[lone heart]

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[jagged imp]

depends on the substances lol

[signal pecan]

ofc not

ur hand will burn

and ur skin will dissolve

lmao

[coral moss]

Unless it is a very weak acid

[signal pecan]

^ ye

[coral moss]

Which it probably isnt

[signal pecan]

ye

lmao

yea then it wont do anything

unless u come in contact

nothin happens

but something like umm

[vague gate]

Floppa do you flop

[signal pecan]

lmfaoo

yea sure

if u like

as i was saying smt like bromine inhaling it could also be very dangerous

u think ik what year ur in lmao

its just general knowledge

i was telling u that chemicals can be harmful so we have to be safe when working with them

[vague gate]

No

You are however colonel floppa

[signal pecan]

yea highschool but bromine is just for general knowlege

i havent used it before either

idk i stufy in canada

[vague gate]

I think it is but I’m not sure

[signal pecan]

yea in canada its 9 to 12

highschool

oh

yea

we also call it that

[vague gate]

You’re upside down Floppa

[signal pecan]

but gr 7 and stuff is called middle

school

yea

u have no middle school basically

lmfao

yea

it dosent really matter what u call them

as long as u study

yea

for us its kinda the same

well sure

lmfaoo

as long as ur doing well in school

u can go anywhere u want

i am in 12th

oh man uni here i come

lmao

its more like study ur ass off

yea

oh

lol

u wanna do this in dms

cuz ppl might need this channel

[vague gate]

have you sent applications yet

[signal pecan]

yea

nahh broo

omg

waiting on them

its still like

not uk

idk i applied at uft

no canada its called university of toronto

its my dream uni

and there is waterloo

i applied to some

like 4 unis

[vague gate]

oh Ive heard about it, hope you get in 🙏

[signal pecan]

yesser wish the same for u

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

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[vast cypress]

hi, im trynna do my cs assignment and i need this chunk of code in multiple functions. is there a way in which i could translate this chain of if elses into a math equation? i am working with integers. this is the chain:

if(id <= 12) {
    suitNumber = 0;
  } else if(id > 12 && id <= 25) {
    suitNumber = 1;
  } else if(id > 25 && id <= 38) {
    suitNumber = 2;
  } else if(id > 38 && id <= 51) {
    suitNumber = 3;
  }

[vast cypress]

i tried using the modulo operator: (id % 13) - 1 but for some reason it throws an error, if thats the equation then i guess the question belongs somewhere else

[gray ingot]

are those all the cases?

[vast cypress]

yup

id is a number between 0 and 51

oh and suitNumber is a number between 0 and 3

[gray ingot]

alright let me see

[vast cypress]

for some reason (id % 13) / 4 doesnt work either

[gray ingot]

modulo won't be used here that's for sure

[vast cypress]

oh alr

why not tho?

[gray ingot]

Because it kind of tells you how far you are from the lower multiple of 13

and that doesn't help classify the ids into 4 parts

[vast cypress]

ohhh okay

[gray ingot]

floor(id/13)

that should work

was that javascript?

[vast cypress]

nope its cpp

[gray ingot]

suitNumber = Math.floor(id/13); if it was js

I've forgotten my cpp

🗿

there must be math libs in cpp right

[vast cypress]

nice thanks yeah

i had to run some examples bc i still didnt get it lol

[vast cypress]

and yup, there is! thanks

[gray ingot]

https://en.cppreference.com/w/cpp/numeric/math/floor

alright

[vast cypress]

wait so last question lmfao

[gray ingot]

sure

[vast cypress]

uh idk how to explain it

[gray ingot]

cards?

[vast cypress]

so h, s, d and c are the suit while t

yeah cards

[gray ingot]

alright

[vast cypress]

i would get what the card type is (index 0 = 2 and index 12 = A) with this cardType = id - (suitNumber * 13);

is there a faster way to do it_

i mean not faster but to find it without the suitnumber?

[gray ingot]

here you can use modulo

id % 13

[vast cypress]

it would be id % 13?

[gray ingot]

I think so

[vast cypress]

yup it worked

lol

so i was mixing them up

alright thank you so much

.close

[lone heart]

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[primal dock]

Is the answer to this no solution because when u divide both sides by sin^2a-cos^2a you get sin^2 a + cos^2 a which is 1

[rigid smelt]

yes, both sides are equal to each other for every alpha

[lone heart]

@primal dock Has your question been resolved?

[primal dock]

When you transpose the rhs to the lhs, u can factor it right

What about the rest

[rigid smelt]

the rest as in?

sin^4(alpha)-cos^4(alpha)=sin^2(alpha)-cos^2(alpha) for every real alpha

hence the inequality holds false

[lone heart]

@primal dock Has your question been resolved?

[lone heart]

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[distant epoch]

26 ⋅ 23 + 34 ⋅ 23 + 26x + 34x = 5400 is there some sort of shortcut in solving x here? i've seen people solve it in less than 10 seconds

[distant epoch]

x = 67 the value of x btw

[placid zinc]

I don't know about a shortcut, but this is a linear equation. Isolate terms with x, factor x out, divide by whatever's left

[distant epoch]

yes, that's what you would usually do to solve for x, but there's some gods out there who just takes a look at the equation and mentally solves it in 10 seconds

[placid zinc]

I can't help but notice the symmetry if x were to equal 23

But that's clearly not the case. Not relevant?

[distant epoch]

yeah, i notice the symmetry too

each number appears twice in the equation

ab + cb + ad + cd = e

[lone heart]

@distant epoch Has your question been resolved?

[hidden siren]

@distant epoch

[distant epoch]

yes

any ideas?

[hidden siren]

Take 26 as common in first and third term

Take 34 as common in second and forth term

You will get ( x+23)(26+34)=1000

[distant epoch]

how did you get that equation

i'm confused

[distant epoch]

why is it 1000?

[hidden siren]

5000* mistyped

[distant epoch]

5400 you mean

ahh i get it

[distant epoch]

damn, thanks for the effort

ight let me figure out your notes

[hidden siren]

In this picture. I have taken something in common from 1st, 2nd terms and 3rd 4th terma

[distant epoch]

23x?

is that 23x(26+34) or 23*(26+34)

[hidden siren]

Yes it's multiplication sign.

On notebooks, I write multiplication as x

[distant epoch]

that's can be confusing lol

ight i'm still figuring it out

OOH

[hidden siren]

Take 23 as common in first two terms

[distant epoch]

yes yes

so this is how gods solve this stuff mentally

[hidden siren]

May be. But once you got little practice. You will be able to identify it yourself

[distant epoch]

the normal way of solving this takes too much time, you have to multiply two digit numbers, isolate x, etc.

[hidden siren]

Hmm. That is how practice makes you different.

[distant epoch]

26 ⋅ 23 + 34 ⋅ 23 + 26x + 34x = 5400
598 + 782 + 60x = 5400
60x = 4020
x = 4020 / 60
x = 67

[distant epoch]

no way someone can do this in 10 seconds

[hidden siren]

Yes. No one can do this in 10 seconds.

[distant epoch]

this is much more efficient

[hidden siren]

If someone can, I will ignore him

[distant epoch]

i think you meant worship

[hidden siren]

No.

I don't care about this type of ultra smart people.

[distant epoch]

if someone's able to do this mentally, i'd see them as gods

[distant epoch]

yeah, i'm just messing around

btw, thanks a lot for the help

i appreciate it a lot

[hidden siren]

There is nothing beneficiary to think about them.

[hidden siren]

Well calculator can also do the same thing

A two dollar calculator can do this

[distant epoch]

damn

[distant epoch]

but impressive nonetheless

[hidden siren]

Yes.

But that's all.

Useless quality.

[distant epoch]

i wouldn't call them useless tho

more like a trick

ight

i gtg

[hidden siren]

I am just saying as joke.

[distant epoch]

how do you close the channel

[hidden siren]

Type

[distant epoch]

.close

[lone heart]

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[distant epoch]

it worked lmao

[lone heart]

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[eternal egret]

Why can't you divide by zero? Dividing by zero should just equal 0.

[eternal egret]

Division is just cutting something up into equal pieces. If you have a pie, and you divide it into 0 slices, you're vanishing the pie, like they do in Harry Potter. You have nothing. You have 0 slices.

[glass lichen]

1/0=0
1=0

In fact k/0=0 means k=0

so every single number is just 0

See the problem?

[eternal egret]

How so? You just said that k/0 is 0, not k=0

[glass lichen]

k=0 is direct consequence of k/0=0

[eternal egret]

k/0 and k are not the same things

[glass lichen]

You claimed they were by claiming division by 0 is in fact just 0

[eternal egret]

Yes, and k/0 is 0. But k by itself is completely separate from that.

[glass lichen]

Or you lacked to even consider what you said and thought "Oh I'm clearly right with this bullshit claim"

if k/0=0 then k=0

[eternal egret]

Do you regularly insult people you're supposed to be helping?

[eternal egret]

How do you figure that?

[glass lichen]

multiply both sides by 0

[eternal egret]

6/3 is 2, does this mean that 6=2?

[glass lichen]

No

clearly not

[eternal egret]

Exactly

[glass lichen]

k/0=0

[eternal egret]

Yes

[glass lichen]

multiplying both sides by 0

what do you get?

you clearly get k=0

[eternal egret]

Ok I see

But that still doesn't explain my pie analogy?

It be both ways

It can't*

[glass lichen]

0 and nothing are different things........

Your analogy makes them one and the same

0 is an abstract number, to which the notion of having "0 of something" means you don't have anything

Or, consider your analogy properly: You're dividing a pie to 0 people, how much does each person get?
They get none, however you've distributed the pie
So giving the pie to 0 people makes the pie vanish from existence

Not that each person gets 0 amount of pie

[eternal egret]

Bro 0 is literally nothing

thats what zero is

[glass lichen]

It isn't

[eternal egret]

You have none of something

[glass lichen]

If you gave 0 quantity of pie to people, you yourself would still have the entire pie

[hot citrus]

0 technically is not nothing, but dividing something 0 means it never got divided by anything, so K / 0 = 0 means K = 0 I think

unless I got everything wrong

[glass lichen]

http://www.differencebetween.net/language/words-language/difference-between-zero-and-nothing/

Good explanation of the distinction

[lone heart]

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[karmic rapids]

$$\frac{\lim_{x \to c} f(x)}{\lim_{x \to c} g(x)} = lim_{x \to c} \frac{f(x)}{g(x)}$$?

[ocean seal]

illuminator3

[alpine sable]

no

[karmic rapids]

alright

[alpine sable]

it depends

[karmic rapids]

.close

[lone heart]

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[alpine sable]

on the c

[karmic rapids]

oh

.reopen

[alpine sable]

if its not infinite

[lone heart]

✅

[alpine sable]

its true

[karmic rapids]

yeah it's infinity lol

[alpine sable]

infinite no

not true

cause

in infinite we choose the one with the most power

[karmic rapids]

both xs go towards infinity "at the same speed" in my case

[alpine sable]

try with simple equations

functions

i mean

and see if its true

[karmic rapids]

alright

let me try

yeah it's not true

[alpine sable]

see

[karmic rapids]

thanks for the help c:

[alpine sable]

nop man anytime

[karmic rapids]

.close

[lone heart]

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[wary stream]

Are you just guessing?

Find a common denominator

The method is getting a common denominator

Don't understand what that means

Is that the method you learned?

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

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[stable gazelle]

hello

[stable gazelle]

i have a problem with series of numbers 😅

[tidal grotto]

[stable gazelle]

in fact in my python program i have 2 times the result that i want to have lol

i forgot to change the # but here the value selected by the user is 3

why I have double what I want to get 😭 anyone can help me please

and f course u(0) = 0

[bleak ridge]

Do you know summations

Like $\sum$

[ocean seal]

PapaBread

[stable gazelle]

yes

[bleak ridge]

What would the summation for that series look like

[stable gazelle]

hmmm

This ?

[bleak ridge]

Close

[stable gazelle]

i don't really understand how this can help me

ahhhh

my program calculate sums of numbers !!

[bleak ridge]

You could either imitate the sum in a for loop or use a sum formula yeah

I mean you could also technically write the recursive formula too

Maybe that's what they want but I don't understand uhh

French is it?

[stable gazelle]

instead of calculating just one term when i put one value of n in the program

yes french ^^

[bleak ridge]

But notice how for each additional n, 2 times the n is added onto the previous number

How would that translate to a sum

[alpine sable]

alex

fr?

[bleak ridge]

Like for u_2, you add 2*2=4 onto u_1

[stable gazelle]

ouais je suis français

[alpine sable]

wsh le couz

cm cv

[stable gazelle]

ça va ?

super et toi

[alpine sable]

tres bien

[stable gazelle]

tu pourrais m'aider sur mon truc stp mdr

[alpine sable]

tu travail sur les sommes

[stable gazelle]

plus sur les suites mais oui

[alpine sable]

tu travaille avec python aussi :

[stable gazelle]

en fait il me sort le double à chaque fois

le programme

[bleak ridge]

[alpine sable]

c quoi le but du programm

papabread

how many language do u speak @bleak ridge

[stable gazelle]

ah attends je me suis mal expliqué du coup il a pas compris papa bread

[alpine sable]

c un papa

😂

c un pedo jpens

[bleak ridge]

1

I know a bit of Spanish

[alpine sable]

bref tu peut trouver la solu

como estas

[alpine sable]

i pass spanish exam tomorrow 🙂

[bleak ridge]

I do know bread in French is pain though

Oo nice

[alpine sable]

true

[stable gazelle]

I misexplained myself.. in reality I have to make a program that calculates the term u(n) corresponding to the value of n that we enter in the program, I do not have to calculate sums! And the problem is that I have a rank problem, since I get twice what I should normally have @bleak ridge

[bleak ridge]

I mean couldn't you just divide it by 2

[bright hedge]

Pain?

[stable gazelle]

for example the term corresponding to range number 5 should be worth 30, but with the program I find 60

I thought about it yes but I would still like to find a way to solve otherwise this rank problem, I think I should put for i in range(n-1)

[bleak ridge]

That would make it n lower

Not 1/2

Assuming your formula is right

Unless I'm mistaken

You could just write in the recursive formula they provide though

That would require very little math

Just translating the math notation to code

[lone heart]

@stable gazelle Has your question been resolved?

Channel closed

Closed by @stable gazelle

Use .reopen if this was a mistake.

[stable gazelle]

okay thx !

.close

.reopen

[lone heart]

✅

[stable gazelle]

.close

[lone heart]

Channel closed

Closed by @stable gazelle

Use .reopen if this was a mistake.

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[raven rover]

._.

[alpine sable]

whats your question??????

[buoyant breach]

ABC is a triangle with I in the middle of AB and point G is positioned so IG can be parallel to BC

Can we prove using vectors that G is in the middle of AC and BC is double the size of IG

(Vectors only)

[alpine sable]

https://tenor.com/view/death-stare-black-snake-moan-samuel-l-jackson-shocked-wide-eye-gif-14648637

draw

[buoyant breach]

I started at GC + GA = 0

[alpine sable]

brooooooooo

ur just making a rule

that is already made

[buoyant breach]

I know

[alpine sable]

didnt u hear about thales

[buoyant breach]

Yes but I was trying to use vectors to make it

[alpine sable]

if I is middle of ab

i forgot about it

it was 5 years ago

but bro

use thales

AI/AB = AG/AC = IG/BC

[pale kestrel]

.......

[buoyant breach]

I know thales

[pale kestrel]

just stop if ur not gonna be constructive

[buoyant breach]

But my question was if it was possible to prove it using vectors

[pale kestrel]

https://i.imgur.com/uNA3XMk.png

So ...

AB = 2AI
IG = kBC
AC = jAG

gonna omit arrrows

This is what you start with right?

Actually there's a bit more

[buoyant breach]

Yes

[pale kestrel]

Well anyways, I think you get what you want from writing out the equations?

Like... AG = AI + IG

AC = AB + BC

AG = mAC

and you combine stuff like this to get what you need

[buoyant breach]

I tired
GA = GI + IA
GC = GI +IB + BC

[pale kestrel]

nahhh

[buoyant breach]

Tried to combine both

[pale kestrel]

I think you want AG and AC

Not AG and GC

[buoyant breach]

I wanted to start like GA + GC = 0

[pale kestrel]

Im like treating IG and BC as unknowns

[pale kestrel]

if you take this, you have only 1 unknown in each

AG = mAC
AI + IG = m(AB + BC)

AB = 2AI, so

AI + IG = m(2AI + BC)

(1 - 2m)AI = mBC - IG

Then you also know BC and IG are multiples of one another since they are parallel

Let BC = kIG

(1 - 2m)AI = mkIG - IG

(1 - 2m)AI = (mk - 1)IG

uh something went wrong

oh no, nothing went wrong I think.................

[pale kestrel]

Well assuming nothing went wrong, this has gotta be 0 = 0 cus the 2 vectors are indepedent

[buoyant breach]

I think we need a piece of info indicating that BC = 2IG

Almost all my tries needed this piece of info

[pale kestrel]

Read thru what I wrote. If I didn't make any mistakes, it gives you the answer

[buoyant breach]

So it's impossible???

[pale kestrel]

?????//

what?

I got the correct answer I believe

Try it the way I said to see if I didn't make any errors ofc

[buoyant breach]

What do you mean by independent here

[buoyant breach]

Sry I'm a newbie to vectors and English isn't my 1st language

[pale kestrel]

Solve the equation xa + yb = 0 for me

[pale kestrel]

.

[buoyant breach]

Ahh ok thx

[pale kestrel]

so?

its gotta be x = y = 0

since they're pointing in different directions

[buoyant breach]

Yeah

[pale kestrel]

a and b are independent.

[buoyant breach]

Sorry I'm not getting it right

I'm too bad to be true

🥲