help-17

[vast shale]

That means the last one is

Aight I'm done

[maiden blade]

xD

[vast shale]

It’s 1,3

Yeah

[radiant bone]

I’m not sure that this is helping them learn lol

[vast shale]

I tried teaching them

[radiant bone]

Let them think through the problems

[vast shale]

There's only one other option

[vast shale]

Okay this time think

why is it that answer

It’s not because you said so, that won’t work

Uh

basically

You can input the answers and see which one makes sense

Because the first number is x and the second is y

For the second one, if you inputted 6,1 into it, there’s already another 6,1 in there

which means, that can’t be true

I see

Wait

wait a second

No it’s right

No

Wait I’m tweaking

😭

My eyes were thinking you didn’t use -7,6 alr

@oak magnet type faster

[oak magnet]

Well you cant have the first number twice with two differents output (second number)

[oak magnet]

?

[vast shale]

Took 2 centuries to type that dawg

[oak magnet]

Be polite, we are helping you

[civic otter]

Because that is a timed test?? In that case nobody will help you anymore...

[vast shale]

It's a practice problem my guy

Take a breather

[civic otter]

Then why did you want him to type faster??

[vocal sleet]

@vast shale Has your question been resolved?

[hallow crescent]

i tuink skcue was just having a laugh

no reason to take it seriously

@vast shale did u solve the original problem or do you still need help

nvm im an idiot

[vocal sleet]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[vocal sleet]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[warm horizon]

did i do smth wrong here ?

im solving $\cos4x=\sin2x$ for the domain $-\pi\leq x \leq\pi$

[twin meteor]

BOHO

[woeful igloo]

in your quadratic, you have x = sin2x right?

still you have written you substitute x = sin^2(2x)

when going from step 2 to 3

thats why ur backsubstitution is wrong

[warm horizon]

oh shoot ur right

,rotate

[warm horizon]

is this right?

oh it should be pi/8 and 3pi/8 instead of pi/4 and 3pi/4 in the final line

and 3pi/4 instead of 3pi/2

[woeful igloo]

you still took 1/sqrt 2 instead of half for the first part

your sin2x has to be +/- 1/2 or +/- 1

[warm horizon]

geez my brain is not working today lmfao

[woeful igloo]

so x would be family of pi/12 and pi/4

[warm horizon]

ok i got it thank you

.close

[vocal sleet]

Channel closed

Closed by @warm horizon

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[velvet zephyr]

let the distance be d

do the speed of train A = d/5
for train B it's = d/7
Now multiply both of these by a certain time
Add those and equate them for d

[ebon idol]

i am getting that they will meet after 175 minutes

9:55 am

which is wrong

[velvet zephyr]

what is correct?

which answer is correct?

what is the correct asnwer?

[ebon idol]

10;45

[velvet zephyr]

did you take my advice/

?

[woeful igloo]

track the positions of both trains as a function of time

[ebon idol]

i did that only

[ebon idol]

what is function ;/

[woeful igloo]

so for train one it would be x = speed of train 1 * time past 7am

[velvet zephyr]

ok so

n(d/5+d/7) = d
n(1/5 + 1/7) = 1
n = 35/12
n = 35*5 = 175 minutes

oh

Nvm

[woeful igloo]

and for train 2 would be d - x = speed of train 2 * (time past 7 am - 2 hours)

[velvet zephyr]

they don't start at the same time

[ebon idol]

huh

what is x

[velvet zephyr]

,w n(d/5)+(n-2)*(d/7) = d

[twin meteor]

Results provided by WolframAlpha

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

Requested by anshulyolo121

[woeful igloo]

x is distance where they meet

[velvet zephyr]

yes, the answer 3 hours 45 minutes = 10:45

[ebon idol]

and what is d

[woeful igloo]

distance between the stations

[ebon idol]

ok

how can i do this

[velvet zephyr]

,w ((2^(1/5) + 3^(1/5))^15

viola

[ebon idol]

bro

i want to know how to do it not the answer

i can get the answer by any calculator

[velvet zephyr]

ikr

Wehere did you get that question?

[ebon idol]

somewhere

[velvet zephyr]

Okay.

[ebon idol]

do u know how to do it?

[velvet zephyr]

nope.

[twin meteor]

Results provided by WolframAlpha

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

Requested by anshulyolo121

[woeful igloo]

there is binomial expansion for any (a+b)^c if c is a +ve integer

[ebon idol]

whats the expansion

[ebon idol]

nothing else can be done?

[vocal sleet]

Channel closed

Channel closed due to the original message being deleted.
If you did not intend to do this, please open a new help channel,
as this action is irreversible, and this channel may abruptly lock.

[velvet zephyr]

this extends to negative an fractions also

[velvet zephyr]

the answer is very big so there probably isn't any other method

[vocal sleet]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[serene pawn]

Does anyone have any idea how to solve this? Can someone please give an explanation and an answer.

[vocal sleet]

As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.

[peak matrix]

also, was that your solution?

[velvet zephyr]

Tlaking about me?

[peak matrix]

yeah

[velvet zephyr]

Yes? I was very lazy to solve them myself

[peak matrix]

It was wrong though lol

[velvet zephyr]

o

[peak matrix]

Try introducing some variables and then making few equations

[velvet zephyr]

That was the number of rosese that sam has in total

[peak matrix]

ah, then it's correct

[peak matrix]

What have you tried till now?

Hint #1:
||Introduce 2 variables, S and K. S will be the total number of roses sam has and K will be the total number of roses kim has||

Hint #2:
||Make 2 equations with those variables, one of them will equate the number of white roses they have to 23, and the other one will equate all roses they have to 32||

[peak matrix]

nice, that's a good start.

There are 32 roses in total

how can we express that in an equation with s and k?

Hint: think about what is s+k

[serene pawn]

I’m not really sure

[peak matrix]

correct

s is the number of roses sam has

k is the number of roses kim has

s + k is the number of roses they both have, and we know that that's 32

Now, can you express how many white roses does same have in terms of s?

Hint: he has 1/4 s red roses

[serene pawn]

2.25

[peak matrix]

How did you get that?

[serene pawn]

9 red roses 1/4x9

[peak matrix]

With my hint i was refering to this line

one quarter of sam's roses were red

but not one quarter of total number of roses

(1/4)s roses were red

s is the number of sam's roses, and 1/4 of that was red

so how many sam's roses were white? Again in terms of s

or what fraction of his roses?

[serene pawn]

15

.close

[vocal sleet]

Channel closed

Closed by @serene pawn

Use .reopen if this was a mistake.

[vocal sleet]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[grave acorn]

this question requires me to solve using quadratics and im stuck on how to solve it

[hybrid flicker]

i don't think you need quadractics

[grave acorn]

the questions designed so that eventually you end up with x^2 and so

[hybrid flicker]

just factor 18 and go through cases

[grave acorn]

yeah but i have to use quadratics to work it out

like

or i lose marks

[hybrid flicker]

ok

so replace y by its value in second equation

and multiply everything by x

[grave acorn]

hold on lemme do that

oh yeah that works

thank you 🙏

.close

[vocal sleet]

Channel closed

Closed by @grave acorn

Use .reopen if this was a mistake.

[vocal sleet]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[waxen hawk]

Ayy

[waxen hawk]

There are two plales shown in the system

The question asks to find a point of intersection of these planes

There’s a common way to solve it, right?

[waxen hawk]

Can someone tell me the way to solve it

<@&286206848099549185>

[bitter pilot]

You have like 2 equations and 3 variables

so you will end up with one free variable which basically implies an intersection line

[waxen hawk]

Excellent

[bitter pilot]

sorry

[waxen hawk]

So that means I could assume one of the coordinates as any number I like and solve the resulting system which contains two variables

[short pilot]

The goat 🐐

[bitter pilot]

can you help me

[short pilot]

Fr

Always bro

[bitter pilot]

you just arrived in time

[short pilot]

Planes?

Interesection of planes?

[waxen hawk]

Yet, I don’t think that is always the case

[bitter pilot]

you mean by coordinates the variables x,y and z?

[waxen hawk]

Yes.

[short pilot]

See I am thinking it would be better to use the concept of

[bitter pilot]

I'd like to call it free variable than "any number" but yea

[short pilot]

unit area vector of the plane

[bitter pilot]

x,y and z would depend on t

for example

[short pilot]

Do u all know vector ?

[bitter pilot]

if you chose z=t or some

[short pilot]

And 3d geometry?

[earnest nymph]

I don't know vector

[short pilot]

💀

[earnest nymph]

Nor 3d geometry

[short pilot]

Then we do generally then

[earnest nymph]

Ok brother

[short pilot]

two equations

[waxen hawk]

No

[short pilot]

Eliminate one variable

See

Take x,y,z one of these as t

And then find the rest two in terms of t

I hope it will work

👍

Cz see

[earnest nymph]

Ok brother

[short pilot]

Two equations 3 variables

Not feasible else we eliminate a variable

Any doubt ?

[bitter pilot]

👍🏻

[waxen hawk]

So actually it is not any number that can be used as the coordinate but a number matches that of the particular line, which is the intersection of these two planes

[short pilot]

What

Oh u used that colour hand

Oh

[bitter pilot]

it's indeed any number

you defined the free variable to be in R

[short pilot]

It's not a number

You can say

We take x

Where the planes intersect each other and find t

And then we find y and z

[bitter pilot]

I am proud of you

[short pilot]

Thanks bro 🥲

[bitter pilot]

You changed my life

[short pilot]

Certified bro is proud moment

[bitter pilot]

You are the coolest helper to exist

[short pilot]

After u

Fr 💀

U 1.

[earnest nymph]

😂

[short pilot]

Me 2nd

Lol

[waxen hawk]

I

[short pilot]

Bro

[waxen hawk]

I will explain the picture

[short pilot]

I k

Two planes

Intersect perpendicularly

Right?

[bitter pilot]

😂

[short pilot]

Please correct my grammae

[waxen hawk]

Let’s assume my table were of the xy plane

[short pilot]

Grammar*

How did u consider or get

[bitter pilot]

I read grandma

[short pilot]

That these two planes intersect perpendicularly

Like they form a 90.degree angle

[short pilot]

💀

Bro do u know bout unit area vectors and all tell this too?

[waxen hawk]

the intersection of the line stands at a particular position of the xy plane

[short pilot]

See imma explain this simply

[waxen hawk]

Stop

[short pilot]

When two lines intersect we get a point

When two planes intersect

We get a line of intersection

[waxen hawk]

Stop that’s not my question

[short pilot]

So u need to solve the planes and get that line

[bitter pilot]

let him cook

[short pilot]

@waxen hawk that's you question right you need the intersection points right?

[bitter pilot]

but like

two planes either are parallel

or have an intersection line

in R^3

so there are like infinite many

[short pilot]

Yes

[bitter pilot]

on that line

you can choose any

[short pilot]

Yes

That's why we were taking a variable as t

And writing the rest two

In terms of that variable

Cz that will represent a line

[waxen hawk]

So that means it is not “any” number you can put into these two planes and find the intersection line but some particular number or numbers.

[short pilot]

you can take infinite no of values of t

[short pilot]

See

[bitter pilot]

no

[short pilot]

we will get a line by the intersection of these planes

Every point that satisfies on that line is a point of intersection

[bitter pilot]

t can be anythng and based on your solution, you will get an according x and y that is on the line

[short pilot]

See please correct my grammer when u take a variable t

So can find other variables in terms of that variable

So u eventually get a equation of line

Where each point of intersection of the planes lies

[waxen hawk]

Let’s get into the algebra, I assume these two planes I shown on the picture are ax+by+cy+d=0 and qx+wy+ez+r=0. And of course these a,b,c… are of real numbers

[short pilot]

Okok

[bitter pilot]

write it into a matrix

[waxen hawk]

Is there any difference

[bitter pilot]

,, \left [ \begin{array}{ccc|c} 1 & -2 & 1 & -4 \ 2 & 1 & 3 & 1 \ \end{array} \right ]

[twin meteor]

𝔸dωn𝓲²s

[waxen hawk]

Nice

[short pilot]

Okok

[bitter pilot]

well last time we did that iirc

[waxen hawk]

I thought these numbers should be some unknown constants

[waxen hawk]

^

[short pilot]

Lol fr

@bitter pilot bro is goated at latex

[bitter pilot]

no

you write the coefficients of your variables

you have 3 unknowns and 2 rows

[short pilot]

See grammar

The best idea is

[bitter pilot]

grandma

[short pilot]

Lop

Lol

The best idea is

To substitute a variable

[waxen hawk]

I was making another case to explain my doubts

[short pilot]

And get the variable in terms of that variable

So we can get the intersection line

[bitter pilot]

sorry

[waxen hawk]

I’m out, you guys are tripping

[short pilot]

See

Let's begin from start

[waxen hawk]

.close

[vocal sleet]

Channel closed

Closed by @waxen hawk

Use .reopen if this was a mistake.

[short pilot]

Wait

Pls

One chance

Let me tell

Waut

Wait*

[waxen hawk]

Stop digressing

[bitter pilot]

what was the problem

[waxen hawk]

.reopen

[vocal sleet]

✅

[short pilot]

@waxen hawk do u agree that when the planes intersect we get a line of intersection
Yes/no

[waxen hawk]

.close

[vocal sleet]

Channel closed

Closed by @waxen hawk

Use .reopen if this was a mistake.

[short pilot]

Answer imma tell why this is important to solve your question

Wait pls

Imma clear it in 1 sec

Just type yes or no

Pls

[waxen hawk]

You should read my question

[short pilot]

Imma coming onto it in 1 sec

The general way of solving

[bitter pilot]

what is your question?

[short pilot]

Imma come on ut

It*

First pls type yes/no it's crucial

Pls

[bitter pilot]

lmao i realized why you wrote grammar

[short pilot]

@waxen hawk

[bitter pilot]

oppailol 😭

[short pilot]

Okok

Don't tell

Atleast clearly explain

what problem is there

In taking x,y,z any of these =t

[waxen hawk]

.reopen

[vocal sleet]

✅

[short pilot]

And finding other in terms of that variable

Like we take x=t

[bitter pilot]

ok bro calm down

let OP first type their Q

maybe they are overwhelmed from your energy 😄

[short pilot]

Fr

Thanks Adonis for calming me

[waxen hawk]

Let’s start again

[short pilot]

Ok

!original

[vocal sleet]

Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.

[waxen hawk]

That’s my claim

[short pilot]

Ok let's see it

[waxen hawk]

.close

[vocal sleet]

Channel closed

Closed by @waxen hawk

Use .reopen if this was a mistake.

[short pilot]

Ok so what do u want do with the matrice

[bitter pilot]

i think OP is trolling wtf

[waxen hawk]

No, I’m just so mad

[waxen hawk]

^

[mellow void]

this is true

[bitter pilot]

You said you had a question

[short pilot]

Yes you are correct

[bitter pilot]

and you post a claim

[short pilot]

You are correct

[waxen hawk]

Thank you

[short pilot]

But cz we have a line we have such type of infinite points

Your claim is correct

[waxen hawk]

That’s the answer I need, the confirmation

[short pilot]

I also wrote bro

[bitter pilot]

oh bruh

you meant your two plane equations

[short pilot]

💀

[waxen hawk]

.reopen

[bitter pilot]

of course x,y and z cannot be random

[vocal sleet]

✅

[bitter pilot]

they have to be so that they satisfy both constraints

[short pilot]

[bitter pilot]

that's it

[short pilot]

Yes

[bitter pilot]

lmao

[short pilot]

Yes

Yes

Lol

[bitter pilot]

oppai you are king

[short pilot]

No

Aah

[short pilot]

King of kings

[waxen hawk]

He’s the king without doubts

[short pilot]

Bro is talking sarcastically fr

[mellow void]

a tyrant

[short pilot]

No

But at the end

The true king is @waxen hawk

His claim was correct

But untouched by us

[mellow void]

all I can say is

[bitter pilot]

bro

[waxen hawk]

Shouldn’t it be “is”

[bitter pilot]

you got like 10000000000+ aura

[short pilot]

Oh

[short pilot]

U got like 10 times of that

Please correct my grammar ok so now?

[bitter pilot]

yea

[waxen hawk]

I’m pleased correcting your grammar

[short pilot]

Any doubt remains?

[waxen hawk]

No

[bitter pilot]

we can all be friends now 😄

[short pilot]

Bro is opposite of his name fr

Bro should be please correct your grammar fr

[bitter pilot]

why am i reading grandma 😭

[short pilot]

Lol

[mellow void]

this is terrible banter

[waxen hawk]

Please correct my grandma

[short pilot]

Let's solve the equations for a better idea

[bitter pilot]

yea

use wolfram

your software

[short pilot]

,w solve
x-2y+z+4=0,
2x+y+3z-1=0

What

[twin meteor]

Results provided by WolframAlpha

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

Requested by oppailol.

[short pilot]

They have eliminated x sirs

[bitter pilot]

goated

[short pilot]

they have written y and z in terms of x

💀

[bitter pilot]

you deserve ultra helpful

[short pilot]

Bro is taunting me fr 🔥🔥

Lol bro

[bitter pilot]

NO

[short pilot]

OK

[bitter pilot]

bro

you dont realize

[short pilot]

Thanks i appreciate it sir

[bitter pilot]

how you make me laugh

[short pilot]

Lol

[short pilot]

Why would I not make my name has lol fr

💀

[bitter pilot]

LMAO

it's also your pfp

inf/10

[short pilot]

Lol

,av @short pilot

[fervent wasp]

[twin meteor]

oppailol.'s Avatar

Click here to view the image.

[short pilot]

Lol

[fervent wasp]

Creepy asf

[short pilot]

[bitter pilot]

bro

who are you

do you know oppa

[short pilot]

Bro is definitely not what his name says

[fervent wasp]

I no know

[short pilot]

U broke me bro fr

U don't know me

[bitter pilot]

no matter you are goated

one day you realize

and that day is now

[short pilot]

No

You are goated my guy

Fr big brain guyz

My brain smol 💀

@fervent wasp even this guy

Lies that he is bad at maths but is goated

[bitter pilot]

but it's very dense

[short pilot]

🥲😭 aah

[short pilot]

Lol

Bro talking bout the neuron density fr

Lol

[bitter pilot]

what do you study actually

or are you a school student

[short pilot]

No

Imma going to uni

This fall

[bitter pilot]

and what you gonna do

[short pilot]

Nothing

Fr lol 😂

[bitter pilot]

math?

[short pilot]

Yes

[bitter pilot]

frfrfr?

[short pilot]

Ofc bro

[bitter pilot]

damn

[short pilot]

But I plan do some side job too

[bitter pilot]

yea do that

[short pilot]

Yes

[bitter pilot]

you will need that money

[short pilot]

So that I can manage

[bitter pilot]

uni robs you fr

[short pilot]

My expenses

Fr fr

Imma work at a drive thru

[bitter pilot]

ye it's expensive bro

[bitter pilot]

frfr doing calculus while selling burgers

[short pilot]

Lol

💀

Don't type #discussion

[bitter pilot]

or probability shit calculate the average occurence of drivers

[short pilot]

The OP has not closed this channel

[bitter pilot]

.close

[vocal sleet]

Channel closed

Closed by @bitter pilot

Use .reopen if this was a mistake.

[sleek orchid]

.

[bitter pilot]

let's go

[short pilot]

I was saving someone from saying that

But it is closed lol

[bitter pilot]

they seemed to disappear anyway

and their doubt was cleared so

[short pilot]

Okok

Fine

Imma come in 5 mins

[vocal sleet]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[dire harbor]

why is my solution wrong

[dire harbor]

the question was write a power series represetation for f(x)

[short pilot]

High

[dire harbor]

hiii

[short pilot]

Hi*

Yes

So u wrote it in power series form

then u integrated it

,w maclaurian expansion of ln(1-x^2)

[twin meteor]

Results provided by WolframAlpha

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

Requested by oppailol.

[short pilot]

@dire harbor does it match

Your result check pls

[dire harbor]

i think it does match lol

[short pilot]

Then it's good

[dire harbor]

i made a small mistake and wrote the series of the derivative from n=1 not n=0

[short pilot]

Oh

Oh

[dire harbor]

but everything is equivalent if you sub n+1 instead of n

[short pilot]

Okok

Okok

Enjoy

[dire harbor]

thank you i will

.close

[vocal sleet]

Channel closed

Closed by @dire harbor

Use .reopen if this was a mistake.

[short pilot]

Welcome np

[vocal sleet]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

Channel closed

Channel closed due to the original message being deleted.
If you did not intend to do this, please open a new help channel,
as this action is irreversible, and this channel may abruptly lock.

[bold laurel]

.close

[vocal sleet]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[fallow sphinx]

Help on question 16-17

I need to turn it into a IB Standard form

@ me when you are here to help

[proven whale]

@fallow sphinx could u send the entire Question

its kinda cut

[fallow sphinx]

Alrighty

Is this good???

[proven whale]

nice

[fallow sphinx]

Alrighty 👍

[proven whale]

im guessing what they mean by standard form is the most simplified version of the eqaution

[fallow sphinx]

📝

[proven whale]

so get everything on one side and zero on the other?

[fallow sphinx]

Ohhhhh

Big brain bro

Big brain

Like this???

[proven whale]

yeah ig

[fallow sphinx]

This one correct too???

@proven whale ??

[proven whale]

u made a calc error

[fallow sphinx]

Where

[proven whale]

it should be y+2x-18=0

[fallow sphinx]

Wait how

[proven whale]

my bad

[fallow sphinx]

What happend

[proven whale]

u forgot to add the +4 on the RHS

and u turned the -y to +y on RHS

[fallow sphinx]

What’s the RHS

[proven whale]

right hand side of the equation

[fallow sphinx]

I don’t forget to add the four

But I did forget about the y

[proven whale]

+14 + 4 = +18

[fallow sphinx]

Ohhh shoot

I forgot the 18

Thank bro

[proven whale]

lol

[fallow sphinx]

Dab me up

🫲

[proven whale]

🫲

[fallow sphinx]

🤝

Ok peace ✌️

.close

[vocal sleet]

Channel closed

Closed by @fallow sphinx

Use .reopen if this was a mistake.

[proven whale]

see ya4

[fallow sphinx]

I’ll come back if I have not trouble

More

[vocal sleet]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lapis ember]

Hello, I’m new to this server, I haven’t started learning Calculus at all, but I do know algebra, I wanna learn calculus from scratch, on my own. What should I do? How should I begin?

[outer warren]

start with difference quotients/average rate of change (essentially slope between two points)

and limits

[mellow oyster]

there are some nice openly available calc textbooks, plenty of youtube playlists from some pretty good channels, and lots of websites as well

paul's online notes

there's probably a khan academy

[outer warren]

you'd also need knowledge of stuff like trig, exponents, logs

[inner osprey]

how familiar are you with precalculus?

[outer warren]

also how much of algebra?
have you done stuff with functions

[vocal sleet]

@lapis ember Has your question been resolved?

[vocal sleet]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[sleek pasture]

What dose this converge to? (Wolfram alpha said it converges but not what to)

[brisk moss]

what is prod_{p = prime}^k? the first k primes?

[sleek pasture]

Yea

<@&286206848099549185>

[vocal sleet]

@sleek pasture Has your question been resolved?

[brisk moss]

https://oeis.org/A064648

there are links you can look at here

it does not look like anyone has found any way to write it terms of common functions/constants

[sleek pasture]

Wait it’s less than 1?

[brisk moss]

yea

it's strictly less than $\sum_{k=1}^\infty \frac{1}{2^k}$

[twin meteor]

:bending_skull:

[brisk moss]

so that makes sense

[sleek pasture]

Wait then maybe I’m doing something wrong lol

Because ~30% of natural numbers can’t just not have prime factors lol

Welp

[brisk moss]

what

[sleek pasture]

Don’t ask I’m probably doing my already strange things incorrectly

[brisk moss]

every integer >= 2 has a prime factor

[sleek pasture]

Yea exactly why I clearly did something wrong

Unless those implies 30% of the prime factors of infinity are not finite

But idk

[brisk moss]

what are you talking about

[sleek pasture]

I’m probably just wrong though

[inner osprey]

from where do you get a 30%?

[sleek pasture]

Well the sum was to about 70%

So the left over part is 30%

[hard atlas]

if you summed over 1/n for all natural numbers the sum would diverge. so with that logic no natural numbers have prime factors

[sleek pasture]

No

In fact that would just mean that every number (or maybe even more than every number????) has a factor (even if the only factor it itself)

Which is true

Ok this definitely implies something about prime numbers but I ain’t sure what

[vocal sleet]

@sleek pasture Has your question been resolved?

[vocal sleet]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[vast shale]

Can anybody help me w this question?

[gentle thicket]

!status

[vocal sleet]

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

[vast shale]

1

[gentle thicket]

Hint: Trig substitution

[vast shale]

Umm.. Okay.. Lemme try

[vocal sleet]

@vast shale Has your question been resolved?

Channel closed

Closed by @meager ingot

Use .reopen if this was a mistake.

[gentle thicket]

?

[vocal sleet]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[warm horizon]

i posted this q earlier today for a different part, but now idk how to do part d

[warm horizon]

i tried drawing a triangle in which x=cos(pi/18) to find tan^2 of the same angle, but that just gives me an expression in terms of x which i dont think helps

[hushed pewter]

I would write every tan in terms of cos and try to use the result of part c

[warm horizon]

oh my gosh the identity i completely forgot abt that

[vast shale]

My question is resolvedd... Thank youu :))

[vocal sleet]

@warm horizon Has your question been resolved?

Channel closed

Closed by @warm horizon

Use .reopen if this was a mistake.

[warm horizon]

thank you @hushed pewter

[vocal sleet]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[stable acorn]

Did you try using LHopitals rule

[opaque herald]

Actually,lhopitals rule will be taught to me in grade 12 and I'm currently studying in grade 11 so neither I can use it it nor I know how to use it(sorry for bad grammar)

[stable acorn]

Maybe try to expand the definition of cosec and cot

[opaque herald]

It always ends up in undefined but my teacher did the same question in class and the answer came 1/2 same as answer written in the book but I can't figure it out on my own

[stable acorn]

$\frac{1}{\sin(x)}$-$\frac{\cos(x)}{\sin(x)}$}

[opaque herald]

Ywah

Yeah*

[twin meteor]

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

[stable acorn]

so it will be $\frac{1-\cos(x)}{sin(x)x}$

[twin meteor]

Bendover

[opaque herald]

Yeah

[dry orchid]

use submultiple angle formula

[opaque herald]

Oh yeah right

Thanks I got it

Thank youu for thee help 🙇🏻‍♂️

.close

[vocal sleet]

Channel closed

Closed by @opaque herald

Use .reopen if this was a mistake.

[vocal sleet]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[fallen mulch]

I can use x, y, z right

cause they're just dummy variables

[vocal sleet]

@fallen mulch Has your question been resolved?

[fallen mulch]

<@&286206848099549185>

[keen wasp]

What do you need

[vocal sleet]

@fallen mulch Has your question been resolved?

[fallen mulch]

.

[fallen mulch]

.

or should i use abc

<@&286206848099549185>

[heady ibex]

What is the question?

Are you asking if using x, y, z in the sum is allowed?

[fallen mulch]

yes, if it's a symmetric sum

[heady ibex]

on wikipedia they use indices

but i don't see why using xyz wouldn't be allowed

as long as you show what you mean like you did

If you write what you wrote

and then continued on just writing the lhs

it would work

it would be clear (at least to me) what you mean

this is how wikipedia does it

although they have 4C3 terms

so abc = bca

in their thing

they are the same thing and not counted twice

while you do count them as different things

which gives 4P3

[vocal sleet]

@fallen mulch Has your question been resolved?

[vocal sleet]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[cunning raven]

Is there any law where I can determine log a * log b using algebra?

[cunning raven]

Just for example lets say log 5 * log 3

[short pilot]

I don't think

So

[gentle thicket]

approximation using calculus/taylor polynomial is a thing

[short pilot]

Lol

[gentle thicket]

but I don't think there's any method to get exact result

[cunning raven]

way out of my league lol

[short pilot]

,w log(a)*log(b)

[cunning raven]

but yea thought so

[gentle thicket]

☠️

[short pilot]

We do not have

[gentle thicket]

wth was that

[cunning raven]

that certainly was an integral of all time

[short pilot]

Ok

Wait till u see

,w int zeta(1+e^(it)) from 0 to 1

[urban edge]

unless youre extremely lucky in a scenario where the base cancels out, youre out of luck

[twin meteor]

Results provided by WolframAlpha

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

Requested by oppailol.

[urban edge]

what

[short pilot]

And see this

[cunning raven]

mind providing an example of that please?

[short pilot]

,w 2π(euler-macheroninconstant)

[urban edge]

e.g. log_3(7)ln(3)

that becomes ln(7)

[cunning raven]

how so?

[urban edge]

can you move this to bots @short pilot

[cunning raven]

i think i get it but not that sure

[urban edge]

recall a log(b) = log(b^a)

[short pilot]

Sry was talking bout his previous message

[cunning raven]

yes, but how do i apply that here?

[short pilot]

Check the original question sir

!original

[vocal sleet]

Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.

[urban edge]

you get ln(3^(log_3(7))

[desert hornet]

it's 0 to 2pi btw

[urban edge]

the 3^ and log_3 cancel out nicely

[cunning raven]

(log7/log3 )*ln3 right

ahhhh ok

[short pilot]

Oh yea

Forgot bout it

Lol

[short pilot]

If your doubt is resolved

!done

[vocal sleet]

If you are done with this channel, please mark your problem as solved by typing .close

[urban edge]

chill out

[cunning raven]

.close

[vocal sleet]

Channel closed

Closed by @cunning raven

Use .reopen if this was a mistake.

[vocal sleet]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[tender isle]

Could we solve this limit with L'Hospirals rule, if f(c) = 1 and | g(x) | --> infinity, when x --> c? The rule says that the limit has to be 1^infinity type, as seen in the second screenshot at the start, ignore the slovenian text
I'm mostly not if f(c) should be = 1 or = 0. Someone please help

[tender isle]

.close

[vocal sleet]

Channel closed

Closed by @tender isle

Use .reopen if this was a mistake.

[vocal sleet]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[full bobcat]

Find c such that this is true

[short pilot]

Bernoulli integral?

[full bobcat]

So far I dont know what to do

all i know is that c is between 0 and 1 cuz the integral from 0 to 1 is greater than 1

[short pilot]

Try expressing as a power series?

[full bobcat]

is that what its called

Let me show what i did so far one sec

[short pilot]

Ok

[full bobcat]

not much

[short pilot]

Good

[full bobcat]

wait a min

omg

nvm

c is greater than 1

i thought the integral from 0 to 1 wasnt alternating

1<c

[short pilot]

Oh

Okik

Okok*

[short pilot]

What's better than realising one's mistake by oneself

How do u know c is not less than 1

?

[full bobcat]

because the integral from 0 to 1 is 0.7 something

[short pilot]

Okok

So see

U can evaluate

[full bobcat]

i asked wolfram

[short pilot]

See

[full bobcat]

to solve for c

but it didnt udnerstand the query

[full bobcat]

you're right acc

[short pilot]

(x^n)(lnx)^n

See

this

Pls

[full bobcat]

but it could be less than 1

[short pilot]

,w d/da (int x^a from 0 to 1)

[full bobcat]

wait nvm let me think

[short pilot]

Wait do u know differentiating under the integral sign

[full bobcat]

ok c is greater than 1

ya

[full bobcat]

because the integral from 0 to 1 is 0.7 something

this is why again i said it again just to confirm

and the integral is increasing

[short pilot]

Answer pls what i asked

[full bobcat]

yes

[full bobcat]

this one is related to factorials

[full bobcat]

the sum on the left is 0.78 something

the alternating sum of 1/n^n

this is what i know so far

[vocal sleet]

@full bobcat Has your question been resolved?

[full bobcat]

<@&286206848099549185>

[short pilot]

Ok

See imma out

Imma help later

[vocal sleet]

@full bobcat Has your question been resolved?

[vocal sleet]

@full bobcat Has your question been resolved?

[vocal sleet]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[latent rivet]

sorry for the dirty paper idk why its like that but i have no idea how to do this 🙁🙁
i gotta find x and y and z
ik how to do find x and y when theres no z but wtf is this tutor? 😔

[onyx juniper]

is the last equation written right

[latent rivet]

i think yes idk my titor wrote it and said its homework

[onyx juniper]

i think they might have meant for one of the terms in the last equation to be y but if its correct right now, you can group the terms with z together and solve for x, and then plug it into the other two

[latent rivet]

okay

wait what

[lyric kestrel]

You can add the two terms in the last equation

Duh

[latent rivet]

yes

i get that

but

[lyric kestrel]

But

[latent rivet]

what now

[lyric kestrel]

Try substituting

Try substituting the values of one variable from an equation to same the variable in another equation

You know how?

[latent rivet]

yes

[lyric kestrel]

Try it then

And tag me if you get stuck

[latent rivet]

thanks

[lyric kestrel]

Or maybe you can dm

If I go offline

So basically there are several methods to solve linear equations in multiple variables

You have substitution elimination and cross multiplication

You can also search it up on yt

[latent rivet]

thanks

[lyric kestrel]

That could also help

I also want you try something

Something with this equation

You there?

@latent rivet

[vocal sleet]

@latent rivet Has your question been resolved?

[cosmic cloud]

You can use

Matrix Method

[vocal sleet]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[vocal sleet]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[hardy jewel]

I'm working on this problem: You roll a fair 6 sided dice 10 times. What is the probability that you roll all numbers 1-6 in these 10 rolls.

[noble heath]

Do u know the diff between permutation and combination?

[vocal sleet]

@hardy jewel Has your question been resolved?

[hardy jewel]

yeah I do @noble heath

[noble heath]

what do you think this is?

@hardy jewel

[hardy jewel]

combinations?

@noble heath

order doesn't really matter we just need 1-6

[lone linden]

Principle of inclusion and exclusion moment

[vocal sleet]

@hardy jewel Has your question been resolved?

[hardy jewel]

@lone linden can you show me how to do it with inclusion-exclusion

I heard that you're supposed to use that

<@&286206848099549185>

[junior roost]

1/6^10

[hardy jewel]

wait lol that's def not the right answer

[junior roost]

Yeah sorry , i just realised it's way more complicated then that .

[night aurora]

since it is fair, rolling a number between 1 to 6 should be 1/6

and then if ten times, should be just the probability to the power of 10

if I am not mistaken

[hardy jewel]

no it's not 1/6^10 @night aurora

[night aurora]

oops

ohh i see now

[hardy jewel]

thats just the probability of getting a number 10 times

[junior roost]

P(A1∩A2∩A3∩A4∩A5 ∩A
6 )=0 i think that is the formula ?

[hardy jewel]

= 0?

what

sorry lol

[short pilot]

Yo

[hardy jewel]

no the actual answer is $\frac{38045}{139968}$

[twin meteor]

thewatermelonbaker

[hardy jewel]

.close

[vocal sleet]

Channel closed

Closed by @hardy jewel

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[marble badger]

For this question, I selected 10 since the values in the table add up to 30 and not the total amount of 40. It said the answer was wrong and the actual answer was 12. Is this a mistake with the system, or am I missing something?

[outer warren]

the question makes no sense

[marble badger]

I assumed it meant how many students' responses were not in the table

[outer warren]

there are no missing values in the table, and based on the pic given, they're all wrong except for green

[marble badger]

oh it's not how many of that color is in the pattern

its how many out of 40 students chose that color as their favorite

wait

you're right

so is it an issue with the problem itself?

[outer warren]

yes

[marble badger]

hmm ok

[outer warren]

pic and table appear to be mismatched
table seems to be for a different problem

[marble badger]

ohk

ty

.close

[vocal sleet]

Channel closed

Closed by @marble badger

Use .reopen if this was a mistake.

[vocal sleet]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[livid comet]

how come we can guess it will probalby diverge?

[magic wasp]

What about the given explanation don't you understand?

[livid comet]

i dont understand how "we can guess it will probably diverge"

that part

becasue 1/n converges to 0

which means by divergence test it will converge?

[magic wasp]

It's not talking about the sequence 1/n, it's talking about the series (sum) of 1/n

The harmonic series diverges

$\sum_{n=1}^{\infty} \frac{1}{n}$

[livid comet]

Ohhhh

[twin meteor]

Nel

[magic wasp]

That's what the "as a series" means

[livid comet]

that makes sense

thank you for your help 🙂

[magic wasp]

[vocal sleet]

@livid comet Has your question been resolved?

Channel closed

Closed by @livid comet

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lime smelt]

I'm a little confused by this. If you use this method to calculate the electric field inside a uniformly polarised sphere, D is obviously 0 since there's no free charge, so E=-P/epsilon, which is clearly not the case. What am I missing here?

[short pilot]

Gauss law

Can u explain clearly what u have a doubt in

Like what are u finding electric flux / field or stuff?

[rare swift]

What a profound math question

[short pilot]

See

U know definition of gauss law

Volume integral of E.da=q inclosed/ epsilon not

[lime smelt]

yeah so i'm applying it in the middle of a polarised sphere, which doesn't have any free charge. since the sphere is a gaussian surface i can remove the dot product and i get |D|=0

[short pilot]

By polarised sphere u are talking bout a non conductor right?

[lime smelt]

yep

[short pilot]

So see

Is the charge distribution uniform

Or do we have it as a function of distance from the centre

[lime smelt]

there's no free charge

so it's 0

[short pilot]

What

For conductors charge resides over the surface right?