help-0

[wispy olive]

And the correct answer too.

Ann you are a genius.

Thank you.

[vale wigeon]

yw

there are smart ways and dumb ways to do things when it comes to percentages

[wispy olive]

And you too.

Yes.

[cobalt mist]

I found out the first.

[vale wigeon]

in fact, when working with percentages, it's one of the few contexts where keeping everything in fractions may prove a nuisance

[alpine sable]

Hello

[wispy olive]

What does yw mean?

[vale wigeon]

it means you're welcome

[wispy olive]

Channel occupied, sorry.

Oh okay.

[cobalt mist]

500 students appeared the test.

[wispy olive]

Exactly!

[cobalt mist]

I'll send proof.

[wispy olive]

That is why the way the school book does it is so tedious!

[alpine sable]

무슨 일을 하는 겁니까?

[wispy olive]

Correct answer!

[vale wigeon]

we don't speak korean, sorry kim-min

[alpine sable]

한 학생에게 숫자에 5/3을 곱하라는 요청을 받았습니다. 대신 3/5로 곱합니다. 숫자를 'x'로 둡니다. 따라서 계산의 백분율 오류는 64%입니다.

I can't speak english very good.

Sorry.

[vale wigeon]

doubtless your book insists on writing, say, x + (39/100)*x instead of 1.39x when talking about increasing a quantity called x by 39% of its value @wispy olive

[wispy olive]

What language is this?

[vale wigeon]

this is korean

[wispy olive]

Anyway I have the answer for that, thanks for trying!

[vale wigeon]

(i can recognize the script but i don't speak the language at all, unfortunately)

[wispy olive]

Coming from my mobile.

Wait.

[cobalt mist]

You could probably frame it better. (and also my handwriting is bad)

[alpine sable]

Sorry, I am bad at english.

[cobalt mist]

It was fun lmao

[wispy olive]

Lol.

Good for you.

[cobalt mist]

Did you already have the answer for that?

I mean the method.

[wispy olive]

W-what?

Did you use sets and stuff.

[vale wigeon]

TL;DR: inclusion-exclusion principle

[wispy olive]

Sorry, I do not know that.

[cobalt mist]

Just for the logic

[wispy olive]

Mind explaining please?

[alpine sable]

Ok, I am using translator now.

[vale wigeon]

i can try to explain

[wispy olive]

Sure!

[vale wigeon]

with reference to the problem at hand

[wispy olive]

Please!

[vale wigeon]

can i have the problem statement again?

[cobalt mist]

Um.

[wispy olive]

I am on mobile phone so do not mind typos please.

[wispy olive]

Just a second.

[alpine sable]

A student was asked to multiply a number by 5/3. he multiple it by 3/5 instead. Let the number be 'x'. Hence, the percentage error in the calculation is 64%

[cobalt mist]

I can explain using a Venn diagram if you're cool w that

[vale wigeon]

1. In an examination, 30% of the candidates failed in English, 35% failed in G.K. and 27% failed in both the subjects. If 310 candidates passed in both, how many candidates appeared in the examination?

found it

[wispy olive]

Wth as soon as I reach that message to copy it, it comes back down.

[wispy olive]

Yes.

[vale wigeon]

okay

now we can do this in a number of different ways

such as with a table

which i will now draw real quick

[wispy olive]

Thanks!

[wispy olive]

Yo this looks cool.

[cobalt mist]

Lol thanks

[wispy olive]

How do you solve with this though?

[cobalt mist]

So you add (passed in E) with (passed in G.K) and subtract (passed in both which is 310). And then add all this to (failed in both) to get an equation for total number of students. Then you just solve the equation.

[alpine sable]

I think I deleted it by mistake @wispy olive

[wispy olive]

What?

[vale wigeon]

here is the table i was talking about

with the percentage data filled in

[wispy olive]

This is correct but confusing!

[cobalt mist]

🌚🌚🌚

[wispy olive]

Uhhh what?

[wispy olive]

I think I will use this.

[cobalt mist]

@wispy olive So you basically wanna add up everything in the rectangle minus the area which is overlapping.

[vale wigeon]

the four squares in the table represent the four categories of students based on their results in both tests

[wispy olive]

Simplified version of this though lol.

[wispy olive]

Wow Geometry in algebra in this way!

[vale wigeon]

the 30% on the right is the 30% who failed english, w/o regard to their GK result

[cobalt mist]

Yes!

[vale wigeon]

the numbers in the "english fail" row add up to 30%

this is what it looks like when you fill everything out

[wispy olive]

Oh.

[cobalt mist]

0.7x(English) + 0.65x(G.K) - 310(both) + 0.27(Failed in both) = total students.

Now just solve this.

[vale wigeon]

reasoning it through: 35% failed GK, and 27% failed both. therefore the other 8% were those who failed GK but not english.

[alpine sable]

Oh! I think I have solved this questions before here is how I would solve it.

[wispy olive]

Any method to solve this which is easier and school will accept more?

[vale wigeon]

does your school not accept tables like i just made?

seems fairly easy to me if you just give it a little thought.

[wispy olive]

Well I guess so.

[cobalt mist]

What topic is this problem under anyway?

[wispy olive]

Like they would say what way is this. No marks.

XD.

[wispy olive]

Grade 8 percentage.

[cobalt mist]

Oh

[alpine sable]

나는 이것이 당신을 도울 것이라고 생각합니다. @wispy olive

[cobalt mist]

Lemme see if I can frame it better.

[wispy olive]

Yoooo this is sickkkk!

Thanks a lottt @alpine sable .

[alpine sable]

Welcome.

[vale wigeon]

i have little, if any, patience for educators who insist on doing things their way in math on this level

[cobalt mist]

This is nice

[alpine sable]

Thanks Mr. Rohan.

[wispy olive]

Thanks again @vale wigeon @alpine sable @cobalt mist @potato something I forgot your name.

[wispy olive]

EXACTLYYY.

It feels shit but what else can I do?

[wispy olive]

The mention did not go?
Wierd.

[alpine sable]

So, Which Grades are you in?

[wispy olive]

Discord lagging for me on phone but you all understand.

[vale wigeon]

you pinged me and me only, it looks like.

[wispy olive]

8th.

[wispy olive]

I did 3 others too but seems it did not reach them.

[vale wigeon]

idk if i'm one of the people you asked, but i'm going to start my master's degree in 12 days' time.

[cobalt mist]

Which program?

[wispy olive]

Yee I did.

Math.

[vale wigeon]

(i was talking to kim-min, since they were the one to ask which grades we were in)

[alpine sable]

Phd?

[vale wigeon]

pure math.

no, not phd

msc

[cobalt mist]

:(

[wispy olive]

Anyway thanks gotta go and study!

[cobalt mist]

I'd love to get a degree in pure mathematics though.

[alpine sable]

I am waiting for my phd result.

[vale wigeon]

i have a BSc and the next two years will be spent on making that a MSc, and then i may or may not go for a PhD

[cobalt mist]

Maths too?

[alpine sable]

Yes.

[cobalt mist]

What's your thesis?

I don't know if I'd understand lol

[alpine sable]

Numerical and Harmonic Analysis.

[cobalt mist]

Harmonic as in sine waves?

[alpine sable]

Yes and No.

[wispy olive]

I am having questions in Long Division method for Square roots and Long division method for dividing 2 polynomials but I will study again and ask if I still have problems.

[wispy olive]

Woah!

[wispy olive]

Sounds interestingggg.

[alpine sable]

Seems like you are in stem too?

@wispy olive

[wispy olive]

Yes.

I love Physics and Mathematics.

[cobalt mist]

I hope you don't mind me asking but how are the job prospects for a person with a PhD in Math?

I think it's pretty cool

[alpine sable]

Teaching Mostly in S. Korea.

[cobalt mist]

Not in research?

[wispy olive]

Both.

I suppose.

[alpine sable]

No, Not like too much money here in this field.

[cobalt mist]

Okay.

[vale wigeon]

long division for square roots eh

is that the one where you evaluate the square root one digit at a time?

[alpine sable]

Ann I think he is offline.

[errant dagger]

practice exams

forgot how to do question 6

[errant dagger]

question 10

um

are the answers wronggg

i’ve done it twice and slightly wrong the same way both times

[alpine sable]

yeah, looks like the answers are indeed wrong.

can i see what you did?

[wispy olive]

Yes.

It is so irritating.

[vale wigeon]

it's time-consuming, which makes it great for passing the time in boring lectures.

[wispy olive]

Lmao.

I would much rather use a calculator.

Or prime factorization method.

[strong furnace]

centre of motion is when v hits maxima

[winged patrol]

Question, how do you find the first term and the fifth term of a sequence if the only given things are the common ratio and sum?

[errant dagger]

what kind of sequence, and the sum of how many terms?

[winged patrol]

geometric, sum of five first terms

common ratio is 2

sum of five first terms is 372

[candid sluice]

okay

let the first term be x

what is the second term

[errant dagger]

theres two ways to do it

you can just use the GP formula

[winged patrol]

it doesn't give

[candid sluice]

if the first term is x

[errant dagger]

hes saying what is teh second term

if the frist is x

[candid sluice]

then the second term is 2x

right?

[winged patrol]

Yes

[candid sluice]

then what is the third term

[winged patrol]

3x??

[wispy olive]

A man sold a table for $2250 and gained 1/9 of it's cost price. What is the cost price of the table?

How is it 2025 instead of 2000?

[candid sluice]

okay

lets say that i have a geometric sequence that starts at 1

then the second term is 2

what is the third term

[winged patrol]

4

[candid sluice]

nice

so what do you do to get from the second term to the third

[winged patrol]

you multiply by the r

[candid sluice]

yes

so if 2x is the second term, how would you find the third term

dont let the x trip you up

[winged patrol]

2xr?

[candid sluice]

and r is what in this case

[winged patrol]

2

[candid sluice]

so what is 2x * 2

[winged patrol]

4x??

[candid sluice]

yes

nice

okay

what about the fourth term

[winged patrol]

I

Like

it doesn't give any of the terms in the question

[candid sluice]

the fourth term in terms of x

like you found the third term

[winged patrol]

How do I find that in the first place if none are given?

Like

r = 2 S5=372 find a1 & a5

[candid sluice]

i know what your problem is

you dont need to reiterate it

the strategy is to let the first term be x, then express every other terms of that x

then we can use the condition that the sum of the first five terms is 372

[winged patrol]

how?

[candid sluice]

thats what we are getting to

so we know that the first term is x

just some number

we dont care for now

now the second term is 2x, and the third term is 4x like you said

can you find the fourth term

there will be an x

[winged patrol]

hi

[winged patrol]

8x

[candid sluice]

huge

finally, what about the fifth term

[winged patrol]

16x

[candid sluice]

nice

so now because the sum of these terms is 372

we can just let x + 2x + 4x + 8x + 16x = 372 and solve for x to find the first term

[winged patrol]

Oh!

I see!

[candid sluice]

np and gl

[vivid bane]

I don't understand how the Collatz Conjecture is looked at as possible, any integer will eventually go down to 16,8,4,2,1 (Looking at everything above 16 ofc)

I'm looking for thoughts on this, I cant get a reason for it to be possible

[glass lichen]

how do you know any integer will?

cause... that's literally the point of the conjecture

[vivid bane]

Well the integer will need to be above 9,223,372,036,854,775,807

[glass lichen]

how do you know?

[vivid bane]

Because 9,223,372,036,854,775,807 is the max my x86 system can go

[glass lichen]

ok so no real justification

[vivid bane]

And my script didnt get any result

[glass lichen]

yeah you havent made any further progress

[vivid bane]

Well I can declare that it would be over 9,223,372,036,854,775,807 right

[vale wigeon]

,w log_2(9,223,372,036,854,775,807)

[ocean seal]

Results provided by WolframAlpha

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

Requested by Ann#0413

[vale wigeon]

2^63 - 1, huh

collbrothers, any attempt of yours to test the collatz function on starting inputs is bound to fail for two reasons

1. it's been done before

2. even if it wasn't, you're still checking only finitely many numbers

[vivid bane]

Yeah ik, dumb to bring that up but

Uhm

[vale wigeon]

for all you know, there could be a number with millions more digits than 9,223,372,036,854,775,807 which never goes down to 1.

your testing cannot reveal that with any certainty.

[vivid bane]

Well every number is an odd | even?

[glass lichen]

every integer has parity, yes

[vale wigeon]

you cannot make the assertion that just because numbers below 9 or so quintillion obey collatz then so do all natural numbers ever.

[vivid bane]

this is

confusing

[vale wigeon]

you've tested a few quintillion numbers.

that may be a large amount.

but it's still finite.

[vivid bane]

Yeah

[glass lichen]

You're nowhere near having tried all of N

[vale wigeon]

there is still an infinity of numbers yet to be tested.

[glass lichen]

cause you.. cant try all of N

[vale wigeon]

and no matter how high end hardware you get

and no matter how much time you get on your hands

[vivid bane]

N is inf so

[vale wigeon]

you could manually test even up to graham's number

and you wouldn't have made a dent in the literal bottomless pit

[vivid bane]

Well lets ignore the whole trying part, I am more confused about how this would be possible

[vale wigeon]

how what would be possible?

[vivid bane]

To get another result than 4,2,1

[glass lichen]

ex: a set of numbers form a loop outside of 4 2 1

[vale wigeon]

there may be a sequence of numbers that forms a loop

there may be a sequence of numbers that just grows without bound, never settling into a loop

you watched veritasium's video, did you not?

[vivid bane]

I read pdfs but no video

[glass lichen]

https://youtu.be/094y1Z2wpJg

[jaunty sequoia]

Quick question? Is there 3 standard deviations found on either side of the mean in normal distribution?

[full imp]

what

[glass lichen]

there's technically infinitely many

[jaunty sequoia]

How many deviations are found either side of the mean in normal distribution

[jaunty sequoia]

Oh damn😅

[glass lichen]

however vast majority of the dataset is within 3 SD

by 68-95-99.7

[jaunty sequoia]

Ahh okay, thank you

[glass lichen]

between -3 and 3 you have ~99.7% of the data so it becomes pretty pointless to consider the 4th SD, but it clearly exists

[woven lichen]

Guys im stuck at this que for hours now ill appreciate any help thanks guys

[small bear]

What have you tried so far? Also the placement of that -8 is wrong

[woven lichen]

Mb im just stupid

[small bear]

Nah, just the horizontal line (touching H) should be -8

[woven lichen]

I did tryna find it like this

Wait so the coordinate is 3,8?

If its touching

[small bear]

I don't think the question wants you to do that, but it isn't a bad approach.

The coordinate of the vertex is (3, -8)

when a quadratic is given in the form a(x-p)^2 + q

do you know what p and q are?

[woven lichen]

Uhh p is 3?

[small bear]

in general, p is the x-coordinate of the vertex, q is the y-coordinate

so yeah, p=3 in our case

and q=-8

Now, how would we find the coefficient 'a'

?

[woven lichen]

Substitute the info?

And then find a issit?

[small bear]

yeah we would substitute for example x=-1 since we know that it must give y=0

what do we get for a?

[woven lichen]

Wait i dont undertanad x=-1?

[small bear]

So we know the vertex is at (3, -8). We found that the function must be of form a(x-3)^2 - 8

Now, we will use other points to help us find the function

for example, a(x-3)^2 - 8 passes through the point (-1, 0)

that means that if we substitute x=-1 into a(x-3)^2 -8, it should give 0

makes sense?

[woven lichen]

Ooo i see

[small bear]

So we get a(-1 -3)^2 - 8 = 0

what is a?

[woven lichen]

1/2?

[small bear]

Excelent!

and this way you've answered both questions that the paper was asking

I have a follow up

can you find the coordinate of the point where the graph intersects the y-axis?

[woven lichen]

Hmm issit -4.5

Wait no

[small bear]

Close

[woven lichen]

Uhhh idk man issit findable??

[small bear]

It is, do you know one coordinate for it?

[woven lichen]

0

[small bear]

specifically, x=0, so just plug that in

[woven lichen]

I really cant lol

[small bear]

y=(1/2)(x-3)^2 - 8, x=0
y=(1/2)(0-3)^2 - 8
which simplifies to
y=-3.5

[woven lichen]

Oo guess i learn somethin new today

Thanks man you saved me lol

I really appreciate the help

[small bear]

Glad to help

[woven lichen]

But im still kinda confuse abt H

[small bear]

what exactly confuses you?

[woven lichen]

So H is -8 right

(3,-8)

The coordinate

[small bear]

yes

[woven lichen]

But uh

Nvm i i think im just retarded

Thanks again man

[small bear]

Feel free to ask any question, no matter how dumb you think it is

[woven lichen]

Aite

[lyric gust]

where do i go to learn more mathmatics without going to school

im a programmer and i want to have more tools in my toolbox

:\

[remote heron]

khan, probably

or just self guided, if you find something you like

[lyric gust]

well, its like when you're learning a lang

and you like do things that are suboptimal

because you don't know there is a specific class and function for that

[tepid jungle]

Does anyone know anything on signal processing and Z-transforms?

[remote heron]

isnt that part of the process

[crisp grove]

follow some youtube course, do the practice probelms and follow some textbook

will be more than enough

[lyric gust]

yes but i dont wanna write a complex thing then show it to someone and be told ("Well the result is just a function of...")

[remote heron]

why not sounds like bragging rights

but im optimistic

i mean if you derived some important result on your own wouldnt you feel proud

[lyric gust]

I suppose. I have the problem where I learned more path programming than i did in school

so when i look at math equations i get very confused

but I've done the same things with for loops and stuff

[alpine sable]

you can always ask here if you have any questions.

[remote heron]

what level of math are you up to

tbh its not really clear what youre asking

[lyric gust]

i do not know... I think im gonna learn trig first

i thought i was in a different server huh, haha

[inland shale]

can someone pls help me

[inland shale]

pls help

[remote heron]

this looks like pythagorean theorem

[inland shale]

yes so what do i do

?

@remote heron

[remote heron]

use the theorem

it relates the areas of the squares

identify which square belongs to which side

can you state/describe the theorem?

[alpine sable]

@clever folio will u help me tonight i have my Study gguide

[inland shale]

a@+b@=c@

a2+b2=c2

but i cant plug anything in

[quartz oxide]

Can’t you? The numbers are like, right there

[gray isle]

use ^ to denote exponentiation

a^2 + b^2 = c^2

[inland shale]

oh yeah

u plugin the numbers for the choices

i couldnt see

[clever folio]

You can just post specific q's here and if someone is free they will help. The rules/how to get help explain how to ping somebody if nobody answers for a long time.

[inland shale]

how do i know what choices are righr

they are all decimals

@quartz oxide

[quartz oxide]

?

Where decimals

[inland shale]

no like

[remote heron]

there are no decimals

[gray isle]

do you know what that representation of pythagoras' theorem is actually stating?

[inland shale]

when i plug them in

[remote heron]

answer ramonov

[inland shale]

what do i do

[alpine sable]

yo can someone help me with this problem

[remote heron]

another channel please

@inland shale do you know what the theorem is saying?

[inland shale]

yes

[gray isle]

what is it stating? (in your own words)

[inland shale]

like the actual formula

?

what the formula is?

a2+b2=c2

[gray isle]

in the context of the diagram given,
what does the pythagorean theorem
a^2 + b^2 + c^2
mean

[inland shale]

and its stating to say the other area of the to smaller squares

[gray isle]

that statement makes no sense

[inland shale]

bro

i mean

it is saying to find the area of the smaller squares

[gray isle]

no

[inland shale]

yes

it is

[gray isle]

that's not what i'm asking you

in the context of the diagram given,
what does the pythagorean theorem
a^2 + b^2 + c^2
mean

[inland shale]

then what are you sking me

[gray isle]

the pythagorean theorem does not mean find the area of anything

[inland shale]

oh

ok

it is to solve for one side

[gray isle]

no

[inland shale]

of the triangle

thats what it is used for

[gray isle]

how about I put it another way.

what does a^2 represent?

[inland shale]

ok

[gray isle]

(assume a<b)

[inland shale]

one of the sides on the triangle

[gray isle]

no

[inland shale]

c2 is the hypotemuse

[gray isle]

no

[inland shale]

omg

just tel me

*tell

[gray isle]

you seem to be ignoring the ^2

[inland shale]

thats the exponent

[gray isle]

yes

[inland shale]

of a b and c

[gray isle]

yes

a represents one of the legs of the triangle
a^2 does not

[inland shale]

mhm

so what is ur point

[gray isle]

if a represents one of the sides of the triangle (specfically one of the legs)

what does a^2 represent?

[inland shale]

the side squared

[gray isle]

yes

[inland shale]

so then

how would u solve the problem

[gray isle]

and do you see that there are squares being attached to each side of your triangle

[inland shale]

yes

i do

u are supposed to find the area of the smaller squares

the biggest one is 67 units

[gray isle]

are you able to link that to the pythagorean theorem
a^2 + b^2 = c^2?

[inland shale]

yes

so i plugin by 67 squared

on the c2

and the other sides on the choicies given

like 7 and 60

but i do not understand what to do when i solve it @gray isle

[gray isle]

wdym

[inland shale]

so what do i do

when i solve it

when i plugin the values

[gray isle]

so i plugin by 67 squared
just 67 not 67^2

[inland shale]

ik

im not stupid

[gray isle]

you're overthinking this

[inland shale]

sorry

[gray isle]

you're being asked for possible areas of the smaller squares

[inland shale]

yes

i know

[gray isle]

and according to the theorem they would sum to 67

[inland shale]

OHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH

[gray isle]

find the responses that sum to 67 and that's all you need to do

[inland shale]

THT MAKES SO MUCH SENSE

OMG THX SO MUCH

[inland shale]

this server is really helpful

im going to boost

[autumn rivet]

I'm trying to learn the seperation of variables

what area does this integral represent? is y the vertical side of the rieman sum rectange and dy the width?

[inland shale]

sorry i cant help with this i wish i could but im doing algebra 2 as i am in 8th grade

but it says if noone helpps u 30 mins later u can ping the helpers

[remote heron]

it means the same thing as dx, if thats helpful

well, not the same thing

but you know what i mean

[autumn rivet]

dx is the infinitesimal change in x ? so dy is the infinitesismal change in y?

[remote heron]

yea

[autumn rivet]

so to visualize the area of this integral would the rectangles need to be horzontal?

since dy is the change in y?

[remote heron]

its a very very very small change in y

[remote heron]

they dont need to be oriented any specific way, you could think of it that way if you want to

[inland shale]

so i did a bad thing

i forgot to learn one thing

and took the test

[remote heron]

the important part is probably that like

[inland shale]

and know im reviewing

so i need help with this

[remote heron]

hmm

the important part

[inland shale]

yes

[remote heron]

idk if thinking of it as area is the best thing

like area makes a lot of sense for definite integrals

maybe im just small brain though idk how well conceptions of area transfer over to ODEs

[autumn rivet]

what is ode?

[remote heron]

differential equation

[inland shale]

actually

jan

[autumn rivet]

what is a way i can think of it?

[inland shale]

i dont need help

[remote heron]

tripster sorry im helpin this guy

or gal

[inland shale]

yea its fine

[remote heron]

or whatever they are

[inland shale]

i got it

[inland shale]

i have a question could i be a helper for some subjects

[remote heron]

@autumn rivet probably like

that y and x are linked

you can move y around or x around

but this implies some corresponding change in the other variable

since x is a function of y

so maybe imagine it as a dot on a slider that moves around in space?

[inland shale]

i need help with this

[remote heron]

you can freely move it around in one direction, but youll get a 'pull' in another

[inland shale]

i can use the pythagerom therom

but i dont know what to do when i get the value

should i multiply the base and the height by one half

?

[remote heron]

turn it into a box

equivalently

[inland shale]

?

what?

[remote heron]

start from the top

cut it in half straight down to the bottom

[inland shale]

yes

ik

[remote heron]

right through the middle

[inland shale]

and then i plug in

12 for 6

and x2

and then 6 squared

but idk what to do when i solve that

[remote heron]

no

[inland shale]

what no

?

[remote heron]

@autumn rivet the 3b1b series on diff eq's is very very good

[autumn rivet]

ty i will check it out

[inland shale]

the equation will be 6 squared plus x squared equals 10 squared

@remote heron

[remote heron]

@inland shale if you cut it in half, whats the height

[inland shale]

i need to solve for the height

using the pytheron therom

[ancient creek]

Ig you can also use this formula

[inland shale]

ok

thanks

[remote heron]

no

use pythagorean

if you understand these itll help you later

[inland shale]

nah that looks easier

:D

[remote heron]

dont use random formulas if you are struggling with pythagorean but obviously do whatever

its free practice

[inland shale]

yessir

[inland shale]

wait

do i use a or s

i need to find the area of the triangle

so i would use a

but what does s stand for

[ancient creek]

First find the value for s

[inland shale]

mmmmm

ok

[ancient creek]

Semi perimeter

[inland shale]

ok

[ancient creek]

Basically half of the perimeter

[inland shale]

oh

and then i plugin the s value into the a formula

:D

[ancient creek]

Yup

[inland shale]

mk

thanks

[quartz oxide]

Whoever set the question is crying rn that you’re using heron

[inland shale]

why

how come heron is bad? @quartz oxide

[quartz oxide]

Cuz its probably a pythag exercise

[inland shale]

?

whats that

[remote heron]

about 30 mins ago they were struggling with pythag

not that theres anything wrong with learning trig

[quartz oxide]

Hmm…

[remote heron]

herons formula is errata at that point

imho

[inland shale]

wth

[remote heron]

wait

wrong word

[inland shale]

what is errata

[remote heron]

whats the word i want

[inland shale]

bru

[quartz oxide]

errata

[remote heron]

god damnit

[inland shale]

😂

[remote heron]

fuckin latin bro

[inland shale]

i was like WHAT IS THAT?????

[autumn rivet]

is this video the right one?

[inland shale]

i do latin

thats not the word

😂

[remote heron]

yea @autumn rivet especially the first part

[quartz oxide]

There’s a playlist of like 6 videos
(Not that I understand them lol)

[remote heron]

theyre a little wild

i like the love example in the beginning a lot

[inland shale]

lmao i got the question right

but herons theron takes time

lol

[remote heron]

if you look at ODE applications you can see some examples that make more sense what im trying to say

he gives the population example

SIR model is another one thats relevant

might be suggesting you go too far off in the conceptual direction, integral of ydy is really just what it looks like

if youre used to integrals like xdx

the really important part is that link between the change in x describing the change in y

maybe not so much that areas are overlapping or whatever the geometric idea is

[alpine sable]

According to this, sqrt(25) should equal 25^1/2

but it doesn't

sqrt(25) = 5

25^1/2 = 12.5

[novel siren]

25^(1/2) parentheses

[alpine sable]

right

How does that resolve it?

this works with 4

sqrt(4) = 4^1/2

both equal 2

[novel siren]

well 25^(1/2) = $25^{\frac12} = \sqrt{25} = 5$

[ocean seal]

cake party
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[novel siren]

ehh

[alpine sable]

oh google didn't do the paranthesis

it did 25^1(/2)

[novel siren]

yes

[alpine sable]

I'm trying to conceptualize why the answer is 5 for 25^(1/2)

[topaz scaffold]

You can think of it this way

$25^{\frac{1}{2}} \cdot 25^{\frac{1}{2}} = 25^{\frac{2}{2}} = 25$

[ocean seal]

RipeOrange

[topaz scaffold]

So $25^{\frac{1}{2}}$ times itself aka squared results in 25

[ocean seal]

RipeOrange

[topaz scaffold]

Which means $25^{\frac{1}{2}}$ would be the square root of 25

[ocean seal]

RipeOrange

[ebon quail]

can it be both A and C

[vale wigeon]

yes, it's a little ambiguous which one they want

probably f(d,m) based on the wording, but if such a situation actually comes up for you in practice you can use either order so long as you stick to it throughout

[ebon quail]

ah okay. thank you!

[alpine sable]

$\sqrt(5)

$\sqrt{25}

[ebon quail]

as y increases, z seems to go back to 0 and then starts to go back up...

I don't know which one is the right answer

[alpine sable]

How does it start to go back up?

after 0 it goes -2 and -4, continuing to decrease in value, right?

I've never seen a problem like this so make sure you get a second opinion but I think it's the second option

it's decreasing by 2 every time as y increases

[ebon quail]

oh sorry. I thought it was 2 and 4. I didn't realize it was -2 and -4.

thank you!

[alpine sable]

Yeah the negation lines sort of blended in with the blue lines haha. Happy to help

[compact mural]

Im doing calc rn and i dont understand a part of a solution to a quesiton

i appreciate any explanation in advance

[vale wigeon]

what's confusing you here?

[compact mural]

i understnd the part until they set h=0

[vale wigeon]

well you want to take the limit as h -> 0, do you not?

[compact mural]

after that f(4+h) - f(4)

thats what i dont get

[vale wigeon]

that's not where they set h to 0...

that only happens at the very end

[compact mural]

sorry i meant after h-0

[vale wigeon]

again

you're taking the limit as h -> 0

you've massaged the expression enough that direct substitution is an option

[compact mural]

Here they just set as 4+h right

x"

[vale wigeon]

yes

the slope of the tangent at $x=4$ is given by $\lim_{h \to 0} \frac{f(4+h) - f(4)}{h}$

[ocean seal]

Ann

[vale wigeon]

they are doing algebra to make evaluating the limit easier

[compact mural]

why would they do this tho

[vale wigeon]

read this again

[compact mural]

omg

...

sorry for wasting ur time lol

ty for the assistance

[wispy olive]

I do not understand how to solve this. Neither do I understand the explanation.

[wispy olive]

@vale wigeon are you free?

[vale wigeon]

okay uh

[unreal valley]

is 35/70 considered as 50%

ez question

[wispy olive]

Yeee I am so happy.

[vale wigeon]

35/70 = 1/2 = 50% yes, it's not a matter of consideration crazyops

[unreal valley]

thanks @vale wigeon

[vale wigeon]

okay let me just transcribe this

[wispy olive]

I will probably have more questions but if you will be there to help I think it wouls be wayy tooo great.

[vale wigeon]

A man sold a camera for 4% profit. Had he bought it for 14% less and sold it for 539 rupees less, he would have gained 16 2/3 %. For how much did the man purchase the camera?

[unreal valley]

wait how to write improper fraction in discord

i mean mixed fraction

[wispy olive]

Yes.

[vale wigeon]

there's no good way to do that besides just writing the integer and fractional parts separated by a space.

anyway

let's look at this

[wispy olive]

Yes.

[vale wigeon]

...gained 16 2/3 % of what

problem doesn't say. kind of ambiguous

[wispy olive]

X?

*x?

[vale wigeon]

they're using x to denote the cost price of the camera.

i can't see anything in the problem statement which would imply the 16 2/3 % (or to be more brief, 1/6) was relative to the cost price of the camera...

ah wait, hold on.

i think i see.

[wispy olive]

Check the solution.

They have given.

[vale wigeon]

the cost price is more properly called the buy price

in this situation

would be less confusing that way

[wispy olive]

I wonder if anyone will give me such foolish numbers and stuff in real life. Come on just get a bill dude.

Lol.

[vale wigeon]

i don't think anyone would ever report a 16 2/3 % profit

[wispy olive]

Exactly.

[vale wigeon]

even as a percentage, that would probably be rounded to like 17% or 16.67% at best

[wispy olive]

Ye.

Ann will you be free for like the next hour?

[vale wigeon]

uh

maybe>

[wispy olive]

Exam in like after 8 hours and I am studying as much as I can lol.

[vale wigeon]

wait isn't it like 01:20 where you are

[wispy olive]

11:22.

[vale wigeon]

11 or 23?

wait you're in india right

[wispy olive]

Somehow I got permission to wake up and study.

Yes.

23:22.

[vale wigeon]

okay yeah i shouldve known

that rupee symbol gave it away

anyway

you should sleep

[wispy olive]

Lol.

No.

I need to do this.

[vale wigeon]

studying at this hour will do you no good

[wispy olive]

My parents expect really high marks.

[wispy olive]

I am a night owl.

So let us continue.

[vale wigeon]

anyway at this point it's more just... book-keeping

and making sure your fraction arithmetic is up to speed

we have four quantities at play here

"old" buy price, old sell price, new buy price, new sell price

they made a variable for the old buy price and expressed everything else in terms of it

nothing clever or exciting in that regard really. standard fare as far as algebraic solutions go if you ask me

[wispy olive]

I think next time I will consider taking your your tutions like 1 week before exams.

Rarely as good teachers/helpers as you so worth the money I guess.

Anyway I will ask the next problem here.

[vale wigeon]

go ahead

[wispy olive]

iv.

[vale wigeon]

,rccw

[wispy olive]

CP one.

[vale wigeon]

what are we asked for

you cropped that out

[wispy olive]

You need the formulas?

[vale wigeon]

no, i'm pretty sure i don't need the formulas

[wispy olive]

CP = 2652 one.

[vale wigeon]

what's the question?

find SP?

[wispy olive]

Find SP.

[vale wigeon]

right, you should have said that as-is

well surely this couldnt be simpler

we have the CP and we are selling at a profit of 1/6 of the CP

[wispy olive]

I know.

[vale wigeon]

,rccw

[wispy olive]

I am getting 1326 as the answer.

[vale wigeon]

these formulas are redundant as shit lmao

you're getting 1326???

1326 rupees?

[wispy olive]

Which is apparently wrong.

[vale wigeon]

it's very wrong

just think about it

the cost price is 2652 rupees

youre saying that selling at half that amount

[wispy olive]

Yes.

[vale wigeon]

will yield a profit

cause it won't

[wispy olive]

How do you solve this?

[vale wigeon]

sale price = cost price + profit amount

this basic equation should be obvious

[wispy olive]

(100 + 50/3) * 2652

The 3 goes to the denominator, righ

[vale wigeon]

you're bogging yourself down in formulas again...

[wispy olive]

So?

[vale wigeon]

you're making this more complicated for yourself than it should be

[wispy olive]

I am supposed to do that, right.

[vale wigeon]

no you're NOT supposed to do that!!!!!

[wispy olive]

No

See the forumuals image I sent.

[vale wigeon]

you're literally not seeing the forest for the trees here senku!!!

forget these fucking formulas!

[wispy olive]

Uhhh.

[vale wigeon]

okay look

im serious

[wispy olive]

Okay.

[vale wigeon]

forget these SP and CP and profit% formulas you sent up there

just

forget them for now

i want you to understand a far more basic principle

[wispy olive]

Alright.

[vale wigeon]

we will not come back to your problem before i say to do so.

[wispy olive]

I do not have much time but go ahead.

[wispy olive]

Alright ma'am.

[vale wigeon]

economics 101:

profit is the difference between money earned and money spent.

[wispy olive]

You take economics classes?

[vale wigeon]

no

i didn't mean a literal economics class

i was just naming this as the most basic principle in like

personal finance i guess

or accounting

yeah

it's the basic principle of accounting

[wispy olive]

Okay.

So.

[vale wigeon]

i'm not done yet.

[wispy olive]

I know my answer is wrong.

[vale wigeon]

we will not come back to the problem until i'm done with my explanation.

[wispy olive]

Alright ma'am.

Why not just use the formula?

[vale wigeon]

you're lacking some foundational knowledge and i will do everything in my power to fill that gap.

[wispy olive]

Yoooo thanksssss.

[vale wigeon]

forget the formulas we haven't yet gotten to the formulas

the formulas will come in due time

patience

[wispy olive]

Okay ma'am.

[vale wigeon]

you give your friend 500 rupees and the next day he comes back and gives you back 600.
as a result of this exchange, you have made a profit of 100 rupees.

i hope this is clear.

[wispy olive]

Wth is wrong with my net so laggy.

[vale wigeon]

just this basic idea.

[wispy olive]

Yes.

Very clear.

You smartly took so much interest.

[vale wigeon]

it need not be interest

we don't care about the exact nature of these transactions

[wispy olive]

Okay.

[vale wigeon]

sometimes you earn less than you spend; in these cases the profit is negative.
negative profit is called loss.

for example, if you work out your profit as -25 rupees, we say you have a loss of 25 rupees.

[wispy olive]

Ah come on I want to ask you whether you are into stock market but then I need to focus on math only now.

I know all that, Ann.

[vale wigeon]

great.

now, when dealing with goods being exchanged for money, we typically use somewhat different terminology:

[wispy olive]

Okay.

[vale wigeon]

money earned is typically called sale price, as money is earned through exchange for a good.

money spent is typically called cost price, and typically stands for one of two things:

[wispy olive]

Ann I seriously have a lot of syllabus left to cover in this chapter, when does Economy Lecture 101 end xD?

[vale wigeon]

(a) the money you bought the good for, or (b) the value of materials and labor put into making the good, if you're manufacturing it yourself

[wispy olive]

Yes.

[vale wigeon]

we're not done yet. i want to make 100% sure we're on the same page

[wispy olive]

Okay.

[vale wigeon]

now, despite the change in terminology, the basic principle of "profit is money earned minus money spent" remains the same

only now it is phrased as profit = SP - CP

note that we are still talking about only absolute profits at this point, and not profit percentages.

that make sense so far?

[wispy olive]

Yes.

[vale wigeon]

great

[wispy olive]

It does.

[vale wigeon]

now the thing about absolute profits is that, while they're good for balancing your checkbooks with, they may be somewhat misleading if you're managing multiple goods, such as if you're a shopkeeper.

[wispy olive]

Ann please end fast.

Lots left.

To do.

[vale wigeon]

i'm almost there. i have to go disappear for a few minutes soon anyway.

[wispy olive]

I know this stuff.

[wispy olive]

Ahhhhhh you have to disappear.

[vale wigeon]

it's not a time sensitive thing

my cats need feeding

anyway

okay

so you say you know this stuff

[wispy olive]

Woah show your cats later.

[vale wigeon]

i'd rather not, for reasons unrelated to you

so anyway SP = CP + profit should come as no surprise if you say you know this stuff

[wispy olive]

Alright.

Cats need online privacy too.

[wispy olive]

Yess.

[vale wigeon]

okay

now

profit is typically expressed as a percentage of the cost price.

[wispy olive]

Now.

[vale wigeon]

it is almost never expressed as a percentage of the sale price.

[wispy olive]

Yes.

[vale wigeon]

roughly, it's for the following, hopefully visceral reason:

cost price is the physical amount of resources you have at your disposal.

sale price is just what you write on the price tags.

[wispy olive]

Yes.

Yes.

[vale wigeon]

this is why profit % is always relative to cost price.

[wispy olive]

Yes.

[vale wigeon]

so we have SP = CP + (profit%)*CP

[wispy olive]

Yes.

It is.

[vale wigeon]

note that in this formula i am considering the profit percentage expressed as a decimal, i.e. for example 9% = 0.09

etc

[wispy olive]

Yeah.

[vale wigeon]

CP + (profit%)*CP = (1 + profit%)*CP

the factor (1 + profit%) can be written as (100 + number of percent)/100, if you wish.

it's largely unnecessary but it has the benefit of having the number you read appear directly in the formula.

thus we have our formula of SP = (1 + profit rate) * CP, or SP = (100 + profit percent)/100 * CP

which is like

a crystallized version of this reasoning i took you through

[wispy olive]

Are your cats very hungry?

How many cats do you have?

[vale wigeon]

three.

anyway

[wispy olive]

Woahhhhh.

[vale wigeon]

SP = (100 + profit percent)/100 * CP

this is the one formula

the others are redundant

CP can be isolated through elementary algebra

[wispy olive]

Pin it then xD.

[vale wigeon]

and loss is just negative profit

eh. not worth pinning

we'd run out of pins quickly if i were to make pins like this for every single topic

[wispy olive]

Alright.

[vale wigeon]

you should also remember that percentages arent this mystical thing sent from on high

theyre just a fancy way of denoting parts of a hundred

[wispy olive]

Okay.

Ann please can I go study now?

[vale wigeon]

sure

you go study and i will go feed my cats

[wispy olive]

Time and energy keeps getting lower.

[vale wigeon]

make sure you get some good sleep

[wispy olive]

And your cats keep getting hungrier.

[wispy olive]

Thanks!

Sorry her cats are hungry so she is feeding them.
Busy xd. JK.

Lmao.

[vale wigeon]

do you just want "does there exist a solution" or "find all solutions"

[wispy olive]

Question 3 please.

And question 1, iv.

[vale wigeon]

okay one of these convos will have to move

senku let's move to a less crowded questions channel

[wispy olive]

Can you please please help me

80 makes exams tomorrow.

[celest anvil]

she can't help you with graded exams

this was wrong

yeah i need some pointers

[celest anvil]

<@&286206848099549185> looks like im missing the K constant. any pointers on how to find that?

[noble sinew]

can you show what you did

[celest anvil]

so the first one is part of the answer i just need to find the K constant i think

the bottom two are two versions of f(1.5)-T5(1.5) don't know which one is right

im watching a video on it rn but lmk what you think

[noble sinew]

the bottom one is the correct error bound

but are you meant to do it like that

[wispy olive]

Number 9, please.

[noble sinew]

the point of taylor series is we don't have to deal with "annoying functions", so you can use the theorem:

$$M_n\geq \max{|f^{(n+1)}(t)| |t\in [x_0,x]}$$

[celest anvil]

so like this?

[ocean seal]

ScapeProf

[celest anvil]

and solve for K?

[noble sinew]

and then you have

$$|f(x)-T_3(x)|\leq \frac{M_n}{(n+1)!}|x-x_0|^{n+1}$$

[noble sinew]

wdym solve for K? the error bound is that value 0.2941....