help-0

[tight marten]

always

[tough minnow]

don't think anyone here is going to solve it then

.close

[lone heart]

Channel closed

Closed by @tough minnow

Use .reopen if this was a mistake.

[lone heart]

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.

[alpine sable]

need help

[alpine sable]

no clue how to solve this ngl

urgently 🙏 thnks

[lone heart]

@alpine sable Has your question been resolved?

[hard harness]

@alpine sable Hey! Am I too late?

[alpine sable]

yup lol

[hard harness]

Oof

[alpine sable]

Its fine though I managed to fiigure it out

with raw intelligence

[hard harness]

Yeah, it’s not complicated

Just make sure you don’t do things last minute. 😅

As a fellow procrastinator, I would know

[alpine sable]

I had 16 minutes

I see wht youre saying though

My teacher didnt guide me through this

[hard harness]

Ah

[alpine sable]

good thing I have the ability to interpret and think 🤣

[hard harness]

Well, when you get stumped again, don’t be afraid to reach out, but it’s better if you reach out sooner rather than later if possible

[alpine sable]

thx

[hard harness]

Yw

[lone heart]

@alpine sable Has your question been resolved?

Channel closed

Closed by @warm marsh

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.

[strange fractal]

excuse me how to do thiswhen there is a power of 4

is there a trick

[vale wigeon]

yeah it's called de moivre's theorem

[strange fractal]

is it this one

does that 2 lines mean exact value

the one under de moivres thereom

[vale wigeon]

are you talking about |these|

[strange fractal]

yes

[vale wigeon]

that means absolute value a.k.a. modulus

a.k.a. distance from zero

[digital magnet]

Is this IB HL

[vale wigeon]

the upshot is that (cis(theta))^n = cis(n*theta).

[strange fractal]

maths specialist western australia

[digital magnet]

Ag

Ah

[strange fractal]

oh ok

lemme tru

[reef wren]

$(r(\cos(\theta)+i\sin(\theta)))^n=r^n(\cos(n\theta)+i\sin(n\theta))$

[vale wigeon]

\cos and \sin

[ocean seal]

yoboiqimmah

[strange fractal]

like dos

dis

[vale wigeon]

yes this is correct

[strange fractal]

ok thanks

.close

[lone heart]

Channel closed

Closed by @strange fractal

Use .reopen if this was a mistake.

[lone heart]

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 warren]

Can someone help me with this

[indigo plinth]

i can

[broken pivot]

What are you trying to solve for

$I = \ln \frac 43$?

[ocean seal]

King Leo

[lime warren]

Find I

[broken pivot]

Do you not just plug that into a calculator

[indigo plinth]

it's easy actually

no

let me solve

[vale wigeon]

im gonna say this preemptively:

!nosols

[lone heart]

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.

[lime warren]

I know the answer but dont know how to solve it

[indigo plinth]

dw

i ll make it in detail

[modest silo]

titipan pemda

[vale wigeon]

don't just dump the entire solution at OP

thats my point

[indigo plinth]

@lime warren

you want me to solve it detailed>

?

[lime warren]

Yes

[indigo plinth]

or i ll do it quick

[lime warren]

Or atleast help me figure it out

[indigo plinth]

i can teach you

[modest silo]

what math topic is this by the way ?

and what is the prequestie

[lime warren]

Sure

[modest silo]

i'm not familiar with the game

[indigo plinth]

you know about this form of a grade 2 ecuation ?

(x - b/2a)^2 - delta/4a

this solves your intergal

[lime warren]

Hmm

[indigo plinth]

alr

i ll write it

also

i get ln(9/8)

[lime warren]

I think i figured it out

Oh well

Ty

.close

[lone heart]

Channel closed

Closed by @lime warren

Use .reopen if this was a mistake.

[indigo plinth]

i also did it in the end

that's the right way to write it

[lone heart]

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.

[grizzled zephyr]

i got 4

[grizzled zephyr]

answer key says its B though

[opal kayak]

JEE advanced anyone ?

[broken pivot]

,w average {2/5, 1/4 * 2/5}

[ocean seal]

Results provided by WolframAlpha

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

Requested by .king.leo.

[grizzled zephyr]

yes

then u flip it

because they asking for december

[broken pivot]

Ya I agree with 4

[lone heart]

@grizzled zephyr Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[lone heart]

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.

[shy robin]

i am just confuse about the answer is it A or D

[lone heart]

@shy robin Has your question been resolved?

[fast nexus]

The answer is A.

[lone heart]

@shy robin Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[lone heart]

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.

[broken orchid]

can anyone help with understanding the limits? I created a program that show a graph of the function 1/x and it is clear that the function would not reach 0. I also wrote down the formulation of the limit in terms of epsilon

[broken orchid]

but how, for example, to prove that a is the limit of an

[charred summit]

Why did you create a program and not use desmos

[indigo frost]

Limit approaches right

[broken orchid]

What's wrong?

[indigo frost]

limit only approach the value and not become equal

[charred summit]

The limit is just what the function approaches as a certain variable approaches certain value, the function itself may not reach the limit value, like with your case but as x gets bigger and bigger the value of 1/x gets smaller and smaller that as x approaches infinity the value of 1/x approaches 0
Here the value of 1/x would never reach zero but that's just the limit as x approaches infinity

[broken orchid]

What should I do next?

[charred summit]

Here you would just make a synthetic or long division between the two function to get N purely alone in the denominator then check what would be the value of the function as N gets bigger and bigger

For the concept of a prove though, you would need to watch some proves of the epsilon and delta definition and how to use them to prove limits

[broken orchid]

I can't understand why an integer part is taken for the number N and 1 is added.

[lone heart]

@broken orchid Has your question been resolved?

[lone heart]

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.

[alpine sable]

"There is a circle. Choose two points, A and C, and draw a line to form the chord AC.

Point O is the center of the circle. Take point B on the arc AC, then draw a line OD that intersects the arc AC at point B, with D being a point on the circle.

If
𝐴𝐵=3 𝐵𝐶=4 and OB=6, then what is the radius of the circle?"

i want to try with pythagorean theorem, but theres isnt any information that can prove ABO or CBO angle is 90 degree

i really confused on where to start, also sorry for broken english, i use google for that

[north rover]

Okay, what I immediately notice is that since AC is a chord, and BD is a diameter, that BD bisects AC, if I am interpreting the question correctly

!original

[lone heart]

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.

[north rover]

I need a bit of clarification on the problem statement

[alpine sable]

thats the original, but i can show you the circle ive drawn, wait a sec

[north rover]

The construction for this is a bit odd

[alpine sable]

here what i draw based on my understanding, not to scale

[north rover]

Wait

It says "take point B on the arc AC"

Or am I tripping?

[north rover]

If this is the case you can literally use chord chord power theorem here

And you're done

Yeah I will take your word for it

@alpine sable Do you know what the Chord-Chord power theorem states?

[alpine sable]

not really? i dont really familiar with english

[north rover]

Okay.

Extend the line DO to a point on the circle, and label that point where it intersects the circle E.

We have that, by the Chord-Chord power theorem, EB*BD=AB*BC.

[alpine sable]

ah okay thanks thanks

[alpine sable]

but if B is a point in arc AC, isnt 0B just the radius? im bit confused with the wording of this question

[north rover]

OB is not the radius. OD is.

[alpine sable]

got the answer, the root of 48.25, many thanks

[lone heart]

@alpine sable Has your question been resolved?

Channel closed

Closed by @opal basin

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.

[shy lava]

Hi,
Can I please have some help with this?

[shy lava]

$\lim (\frac{5+2(4^n)+5^n)}{(3(4^n)-4n^5}$

[north rover]

$\lim_{n\to\infty}\frac{5+2(4^n)+5^n}{3(4^n)-4n^5}$?

[ocean seal]

;(

[shy lava]

oh lol

[north rover]

It's fine.

[shy lava]

yepp

[north rover]

First question: Does an expoential function grow faster than a polynomial function?

[shy lava]

Yes?

Exponent is the dominant term here, I think

[north rover]

Then what can we do to the limit?

[shy lava]

specifically 5^n

divide?

[north rover]

Yeah.

Simple as that.

[shy lava]

Why is wolfram alpha giving 3 different limits tho

,w limit (5+2(4^n)+5^n)/(3(4^n)-4n^5)

[ocean seal]

Results provided by WolframAlpha

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

Requested by usr.not.found

[shy lava]

there

[north rover]

What the fuck

[north rover]

Because this is NOT a proper input.

[shy lava]

What would the proper input be

Just want to know to check my answers

,w limit n->inf (5+2(4^n)+5^n)/(3(4^n)-4n^5)

[ocean seal]

Results provided by WolframAlpha

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

Requested by usr.not.found

[north rover]

w lim n->infinity (insert stuff)

[shy lava]

is that ir

ohhhhhhhhhhh

$\lim_{n\to\infty}\frac{5+2(4^n)+5^n}{3(4^n)-4n^5}$\
$=\frac{5/5^n+2(4^n)/5^n+5^n/5^n}{3(4^n)/5^n-4n^5/5^n}$\
$\frac{0+0+1}{0-0}$\
Since $(\frac1{5})^n $ is a basic null sequence

Is that correct

[ocean seal]

user.not.found

[shy lava]

I get 0 that means
Not infinity

Unless I've done something wrong

[north rover]

Yes.

[shy lava]

So the answer is 0?

[north rover]

What is 1/0?

[shy lava]

undefined?

[north rover]

And does that match with what wolfram said?

[shy lava]

Ah ok

Sorry I got confused with my book

Anyways thank you for your help

.close

[lone heart]

Channel closed

Closed by @shy lava

Use .reopen if this was a mistake.

[lone heart]

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.

[brittle lake]

How would i begin to start this integral?

[brittle lake]

i always have trouble at the start

[broken pivot]

Try integration by parts

[brittle lake]

how would you integration by parts this?

theres only one thing

thingy

idk

[warm quarry]

1*ln

[broken pivot]

u = entire integrand

[brittle lake]

and u make dv = dx?

i assume

[brittle lake]

how did you identifybthat int by parts for valid here?

what are the indicators?

[broken pivot]

!occupied

[lone heart]

Someone else is already using this help channel. If you need help with a question, please open your own help channel/thread (see #❓how-to-get-help for instructions).

[buoyant saddle]

also, you can do trig sub here

[broken pivot]

Because differentiating the integrand gives an easy substitution

[wary fable]

whats the question?

[brittle lake]

thx

.close

[lone heart]

Channel closed

Closed by @brittle lake

Use .reopen if this was a mistake.

[brittle lake]

are you just abel to see that?

just random question

is it that clear

to u right away

[broken pivot]

Ig with lots of practice, it just comes naturally

[fierce cipher]

no

[broken pivot]

Pls don’t tell me I’m wrong 😭

[fierce cipher]

nah u are correct

its just that this way is so hilarious to be true because its so well-hidden

[warm quarry]

So I am not as advanced in math as them I just normally do IBP with ln cuz then at least I wont have that shitty ln anymore

[buoyant saddle]

yes usually if ln is alone it’s a good idea to use ibp

[lone heart]

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 copper]

how do i do this

[velvet copper]

i got x = -1 but its wrong when i put it in the question

[vale wigeon]

do you mean n = -1?

[keen idol]

do u mean n=-1?

[velvet copper]

yes

[keen idol]

damn

[velvet copper]

sorry

[vale wigeon]

show your work for how you got n = -1

could just be an arithmetic error

could be something more serious

we can't really diagnose from just the answer unfortunately

[velvet copper]

Wait

I’ll make it’ll make sense

[vale wigeon]

ok one moment...

[velvet copper]

Oh

Oh shoot

[keen idol]

is it a handwriting issue or did u forget the n

in 20/24

[velvet copper]

I realised where I went wrong I think

I forgot the n

[vale wigeon]

i see the actual mistake

in the 2nd line when you multiplied both sides by 24

you forgor to multiply the 2n (on the left) and the 13 (on the right) by 24 as well

[velvet copper]

ohh

so iut would be 48 instead of 2

[vale wigeon]

48n instead of 2n

[velvet copper]

and 312 instead of 13?

bc no n valu

[vale wigeon]

,calc 13*24

[ocean seal]

Result:

312

[vale wigeon]

yes, the 13 would become 312.

[velvet copper]

ok ty

so i just plug those in instead right

[vale wigeon]

so you would end up with

3n + 48n - 20n = 18n + 312

[vale wigeon]

you don't "plug in" anything.

there's nothing to plug things into.

you redo your work properly, with the corrections i gave.

[velvet copper]

yes i meant that

idk math vocab that well

i got n=20.8

[vale wigeon]

ok im gonna need you to show your work again

this may be correct but i wanna make sure you didn't screw up further down the line

[velvet copper]

omg

wtf is wrong with my brairn rn

i wrote 33n instead of 31n

ugh sorry let me restart

[vale wigeon]

yup now it seems good

[velvet copper]

ok ty

.close

[lone heart]

Channel closed

Closed by @velvet copper

Use .reopen if this was a mistake.

[smoky haven]

hello

[lone heart]

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.

[shut halo]

Hey, I need help with something:

[shut halo]

We know that [BC] is the side of a square inscribed in the circumference

And [AC] is the side of a hexagon inscribed in the circumference

Asks to prove that angle of vertex C is 105°, angle of vertex A is 45° and angle of vertex B is 30°

It's easy to prove that alpha is 105°

Because it's just the internal angle of the square + half of 120-(the internal angle of the square)

(because the internal angle of the hexagon is 120°)

Wich means that alpha= 90°+((120-90)/2)°

Wich is just 90+15 wich is 105°

But, how can I find out the value of the angle of vertex A for example?

Oh wait, I see it. Angle of vertex B must be 90/3

sorrry

[river totem]

why?

B is 120/4

[shut halo]

Because. Well, if we call the vertices of the regular hexagon CADEFG in anti-clockwise order.

The, the angles ABC, DBC and DBE subtend an arc of the circumference with the same amplitude

[river totem]

yeah

[shut halo]

Because those arcs are the arcs correspondent to the chords that have the length of the side of the regular hexagon

[river totem]

that works too

[shut halo]

😅😅

Anywayyyy, I'll close the channel

Thanks

.close

[lone heart]

Channel closed

Closed by @shut halo

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.

[alpine sable]

use isoceles triangle

[lone heart]

@small nimbus Has your question been resolved?

[small nimbus]

<@&286206848099549185>

[alpine sable]

you got eyes?

[lone heart]

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.

[grizzled zephyr]

can someone help please

[languid plaza]

find the area under the graph

[grizzled zephyr]

why

[languid plaza]

area under a-t graph gives velocity

[grizzled zephyr]

oh right

but how do i do that

like i take from what interval

to what

[languid plaza]

first statement they asked you to compare the velocities of t=1 to t=3

[grizzled zephyr]

they asked me to compare the velocities of t1 and t3

not to

[languid plaza]

plot t=1 on that graph and find the area

hold on I'll send a rough graph

[topaz schooner]

v = a * t, at t = 1 the acceleration was equal to 4 m/s^2

[grizzled zephyr]

oh fk

how i didnt think of that

dang

[languid plaza]

completely butchered the graph but you get the idea

the area is 4*1

[grizzled zephyr]

so from 0 to 1

[topaz schooner]

nvm, i think they are asking for the total velocity

[grizzled zephyr]

and from 0 to 3

[languid plaza]

so 4m/s

[grizzled zephyr]

what about t=3

but doesnt that sound counter intuitive, if the acceleration is decrease, that must mean that the object is speeding down

[topaz schooner]

its still accelerating

acceleration is still positive

[grizzled zephyr]

then why is it decreasing

if acceleration is decreasing , velocity is decreasing

so acceleration is positive and velocity is negative

[grizzled zephyr]

can you please tell me at t=3

[topaz schooner]

because velocity is increasing at a slower rate

[grizzled zephyr]

yesss

that is why its counter intuitive

[topaz schooner]

its not counter intuitive

[grizzled zephyr]

how t= 3 acceleration is bigger than t= 1

[topaz schooner]

its not bigger

[grizzled zephyr]

according to my graph calculations, i got acceleration at t = 3 is 8

[topaz schooner]

huh

wdym you got acceleration equal to 8 at t=3?

you can see that its 2

2 m/s^2

[grizzled zephyr]

we need to find the speed

not acceleration

so i guess speed is 6 m/s

at t = 3

[warm quarry]

what is the formula for speed?

[grizzled zephyr]

v = x/t

but that is acceleration graph

[warm quarry]

there should also be another one

you can also look at it like this:

we have on the x-axis seconds

and on the y-axis meter per seconds²

what is the unit for speed?

[grizzled zephyr]

m/s

[warm quarry]

yes

so we have someting in m/s² and we s, how can we get m/s?

[warm quarry]

this was true btw

you understand why?

[grizzled zephyr]

i took the area

[warm quarry]

yes

[grizzled zephyr]

3 x 2

[warm quarry]

and with that step

you actually just did the following:

m/s² * s = ms/s² = m/s

U understand?

that is how I always remembered what the area under a graph will give me

doesnt matter if it is about speed and distance and acceleration or something about quantum mechanics

just look what will happen to the units

[lone heart]

@grizzled zephyr Has your question been resolved?

Channel closed

Closed by @grizzled zephyr

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.

[warm gyro]

yo

[warm gyro]

so i'm trying to figure out what power series are and doing interval of convergence

i'm in my senior year of high school doing calculus bc

[mental python]

whats your question

[warm gyro]

how do you find interval of convergence and how to figure out what power series is

[mental python]

the power series is $\sum_{n=0}^\infty x^n$

[ocean seal]

Bonk

[mental python]

and it converges for $|x|<1$

[ocean seal]

Bonk

[warm gyro]

oh and also i have like problems that have a rational function and i have to write an expanded form of the series and do a summation notation

and idk how to do those either

[mental python]

can you show an exmaple

[warm gyro]

ok

my main problem with power series is finding the radius and finding the interval of convergence for it

uh

[tacit arch]

Just do one problem at a time

[warm gyro]

idk how to do any of them tho

[tacit arch]

Showing 10+ problems is not productive

[warm gyro]

yea i'm trying to go through one at a time

[inner parrot]

Nv

[lone heart]

@warm gyro Has your question been resolved?

[lone heart]

@warm gyro Has your question been resolved?

[lone heart]

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.

[alpine sable]

I have not been able to find a solution to this problem, the way I approached it was by trying to combine a greedy approach for encompassing nodes and topological sorting for prerequisites but it is complicated to take them both into account

[lone heart]

@alpine sable Has your question been resolved?

[alpine sable]

<@&286206848099549185>

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[lone heart]

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.

[sick tree]

How do I determine the value of chocolates priced at $6 when there are 17 pieces in a box

[sick tree]

how much does each piece cost

someone help

I tried dividing $6 by 17 but the answer doesn't make sense

[ocean whale]

What did you get?

[marsh hamlet]

6*17=102

[sick tree]

i got $.35 cents

[ocean whale]

Why doesn't that make sense?

[sick tree]

idk

!close

sorry

.close

[lone heart]

Channel closed

Closed by @sick tree

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.

[rigid marlin]

can someone please help me rq

[rigid marlin]

I need to finish this delta

and im only

3 questions away

[minor trout]

quadratic formula

?

[rigid marlin]

I think

[north rover]

No.

[rigid marlin]

idk

I just need to finish this

in 10 minutes

OR IM FAILING

SO PLEASE HELP.

[north rover]

You can solve this using the Pythagorean theorem.

[charred jewel]

papa pythagoras to the rescue

[rigid marlin]

I tried

[north rover]

Note that the side lengths of the square are the legs of the isoceles triangle.

[rigid marlin]

I got 1.9

[minor trout]

oh yeah i was thinking pythagorean theorem sorry 🙂

[rigid marlin]

😔

ima fail bro

yall aint even helping omg

[north rover]

I literally just gave a hint. Hm?

[rigid marlin]

I TRIED THAT

BRO

[north rover]

What is your exact answer?

[rigid marlin]

.

x = 1.9 IS WHAT I GOT

[north rover]

It does not seem like you applied it correctly. Try it again, noting that the side lengths of the square are the legs of the isoceles triangle.

[rigid marlin]

I hate u

[minor trout]

pythagorean theorem is $a^2+b^2=c^2$, a is equal to b because you are given a square, a is given to be 2, x is equal to c

[ocean seal]

fdgdfg

[rigid marlin]

…

You just broke my brain

[minor trout]

i did like half of the job

[lone heart]

Show your work, and if possible, explain where you are stuck.

[rigid marlin]

Ima just ask my friend..

[north rover]

I am being legitimate.

[celest swift]

?

u do

[rigid marlin]

yall aint helping

[celest swift]

2 squared plus 2 squared

[north rover]

!volunteers

[lone heart]

Helpers are just people volunteering their time to help you. Be polite and patient.

[celest swift]

= x 2

and do root of 8

which becomes 2 root 2

[lone heart]

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.

[north rover]

!noans

[lone heart]

The purpose of this server is to help you learn, not to hand out answers. Do not ask someone to give you the answer directly.

[rigid marlin]

your supposed to help

[celest swift]

SORRY

[rigid marlin]

like explain what I have to do

[minor trout]

we are

[rigid marlin]

not the answer

[north rover]

I am. I don't see the problem?

[celest swift]

IM SORRY SO SORRY

[minor trout]

pythagorean theorem is $a^2+b^2=c^2$, a is equal to b because you are given a square, a is given to be 2, x is equal to c

[ocean seal]

fdgdfg

[minor trout]

plug the givens into the theorem

[rigid marlin]

I got 2.8

[north rover]

,calc 2sqrt(2)

[ocean seal]

Result:

2.8284271247462

[north rover]

Hooray!

[rigid marlin]

..

[rigid marlin]

I hope you can help on this second one..

[north rover]

Okay. I already was.

[ocean whale]

You realize that people are helping, you need to put in the effort to understand and apply what was given to you

[minor trout]

istg i was literally spoonfeeding it

they couldn't even gum it up

[rigid marlin]

ngl the only one I understood was the face guy..

[minor trout]

who?

[rigid marlin]

this guy

[minor trout]

ok

[rigid marlin]

ok so for this one I got 3.46 do I do 3.5 or 3.4

@north rover

[minor trout]

,calc sqrt(12)

[ocean seal]

Result:

3.4641016151378

[minor trout]

3.5

[rigid marlin]

ok

[north rover]

Sorry. I was interrupted.

[rigid marlin]

mb

im solve the next and ask yall

[north rover]

In this context, round up.

[rigid marlin]

ok can you kinda explain this one

[north rover]

Do you know how 30-60-90 triangles work?

[rigid marlin]

uhhh kinda…

can you explain it a little

[minor trout]

short leg has half length of hypotenuse

[north rover]

Okay. We know the triangle is equilateral. What can we say about the angles in the right triangles we have?

[north rover]

I was going to get there.

[minor trout]

ok

[rigid marlin]

there right angles?

[north rover]

Obviously. What about the other angles?

[rigid marlin]

wdym

im slow on this part…

😔

[rigid marlin]

OH UHHH

[north rover]

Can you tell me the measure of the red angle and green angle?

[minor trout]

angles in a triangle sum to 180 degrees

[rigid marlin]

ik that part

[minor trout]

each angle has the same measurement

[rigid marlin]

so are all

[rigid marlin]

I was gonna ask that but ty

[north rover]

?

[rigid marlin]

ok so all angles are around 60°?

[north rover]

Exactly 60 degrees.

So what can you identify the red angle as?

[rigid marlin]

ok ok

[rigid marlin]

60?

[north rover]

Good. What about the green angle?

[rigid marlin]

60 again!

[north rover]

Not.

[rigid marlin]

hm?

[north rover]

Remember that we are considering the right triangle, in which red+green+right angle=180. Is that a little clearer?

[rigid marlin]

oh ok

so how are they not all 60

but green is 60

[north rover]

I did not say the green is 60.

[rigid marlin]

red is 60

mh

mb*

[minor trout]

yes

now what is green?

[rigid marlin]

60….

WAIT

120?

[minor trout]

no

if you look the green is part of an angle that has been split

in half

[rigid marlin]

OHHHH

SO 30

[minor trout]

yes

so an equilateral triangle creates a triangle with angles 30, 60, and 90 always

these are great because they have the property where the hypotenuse is double the length of the short leg and the long leg is sqrt(3) times longer than the short leg

[rigid marlin]

hm

[minor trout]

$h = 2s$ and $l=\sqrt{3}s$

[ocean seal]

fdgdfg

[minor trout]

we are given one of these values and one of these values is the one we are solving for

can you figure out which ones?

[rigid marlin]

..

ima just guess…….

[minor trout]

the answer?

we are literally one 2 divisions away

,calc 10/sqrt(3)

[ocean seal]

Result:

5.7735026918963

[rigid marlin]

I was so close I said 6…

😔

I got .7

do I put .7 or 1

[minor trout]

,calc 1/sqrt(2)\

[ocean seal]

The following error occured while calculating:
Error: Syntax error in part "\" (char 10)

[minor trout]

,calc 1/sqrt(2)

[ocean seal]

Result:

0.70710678118655

[minor trout]

0.7

[lone heart]

@rigid marlin Has your question been resolved?

Channel closed

Closed by @rigid marlin

Use .reopen if this was a mistake.

[lone heart]

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.

[safe meadow]

Is there any general formula to find the closest distance from a point

[minor trout]

what do you mean?

[jagged imp]

Like the shortest distance between a given line and point?

[minor trout]

the pythagorean theorem gives the length of the shortest path

[safe meadow]

Whatt I mean is that

For example

The closest distance from lnx to point 10,10

[minor trout]

what is lnx

[safe meadow]

The graph lnx

[minor trout]

ln(x)?

[safe meadow]

Yeah

[minor trout]

i don't know of one

[safe meadow]

The closest distance of a point to a line is |ax_0+by_0+c|/√(a^2+b^2)

I'm curious is there any formula for any graph

Or any function

[minor trout]

i think you would need to manually check until you find one using a binary search

[safe meadow]

Hmmmm

Ok

[lone heart]

@safe meadow Has your question been resolved?

[lone heart]

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.

[echo ocean]

I found formula: (A*B) - (C*D), true for 1, 2, 4

Appilication for first:
10*11 - 7*5 = 110 - 35 = 75

Doesn't work for 3rd, which gives 14 (None of the options)

10 mins now...

<@&286206848099549185>

[versed tide]

It’s 18

AC+BD

[echo ocean]

Mind explaining mate?

oh

[echo ocean]

However, for the first one, its now 125

What sense are you using in this?

I used
A B
X
C D

I got a exam in 10 mins, this comes on it

AC + BD for 3rd one is now 23

[spring barn]

and this is the only thing you where given about it?

[tiny fable]

well the answer im thinking of isn't even an answer choice...

14 makes sense to me, these puzzles are ridiculous lol

[echo ocean]

No shit, got in mock test and last year question paper. And its a computer logical reasoning question.

[echo ocean]

Same

[versed tide]

14 seems logical and the rest is typos

I goofed before

[echo ocean]

I got that using formula AB - CD

[versed tide]

Yeah that’s the only thing that fits all of them

[echo ocean]

No options tho. I chose 17

[versed tide]

Unless we’re trying to find some other way like lowest common denominator of all three or left side right side

[echo ocean]

Ima come after... like 30-45 mins. Ima give my exam

[echo ocean]

By that, we get 19 (I'm using chatgpt to calcuate fast)

Which is option, but for other 3 are now incorrect

[lone heart]

@echo ocean Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[lone heart]

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.

[crude sage]

i need help with this, please someone help me

[winter light]

Do you know the definition of the mean (or average)?

[crude sage]

yes

i got my answers

[winter light]

Alright nice

[crude sage]

i dont know if i did it right

could u check it for me

[winter light]

Yeah

[crude sage]

Answer
(21 + 25 + 22 + 42 + 53 + 41) / 6 = 34.

1. Answer: 34.

Since there are 6 ages (an even number), the median is the average of the middle two ages: (25 + 41) / 2 = 33.

2. Answer: 33.

District 1: 3, District 2: 3, District 3: 2, District 4: 1, District 5: 2, District 6: 3.

District 1 and District 2 have 3 attendees each.

3. Answer: District 1 and District 2.

<@&286206848099549185>

[lone heart]

@crude sage Has your question been resolved?

[lone heart]

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.

[restive timber]

Is this proof correct? I has chatGPT translate it from German

[lone heart]

@restive timber Has your question been resolved?

[restive timber]

.close

[lone heart]

Channel closed

Closed by @restive timber

Use .reopen if this was a mistake.

[lone heart]

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.

[tired socket]

how to solve a

[wary fable]

use vector product

[surreal fog]

What are i, j, k? Quarternions? Or coordinates?

[tired socket]

coordinates?

[surreal fog]

Coordinate vectors

Vectors defined in terms of coordinates along a canonical basis

We need more context

[tired socket]

well thats all i was given

what do i do now

[tired socket]

can u show

[surreal fog]

ok then it's probably the orthogonal basis vectors then

Use cross product

a.
[i j k]
[2 -3 5]
[-4 0 3]

and use the formula above

same for b, find the appropriate places

[tired socket]

ok ill solve

and u check

[surreal fog]

,w (2i-3j+5k)×(-4i+3k)

[ocean seal]

Results provided by WolframAlpha

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

Requested by luke1337

[surreal fog]

solve a and check against ^^

if you got it right, you now know how to solve and check as well

(Just repeat what I did)

[tired socket]

ahh

i understand

i got it

,w (3i+j-2k)x(-i-j+2k)

[ocean seal]

Results provided by WolframAlpha

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

Requested by yousif__123

[lone heart]

@tired socket Has your question been resolved?

Channel closed

Closed by @tired socket

Use .reopen if this was a mistake.

[lone heart]

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.

[valid phoenix]

hi, i dont know how to proceed from here. im not sure if im using the correct method to approach this question

[vale wigeon]

your method is correct

you should be seeing some cancellations happen

[alpine sable]

some things simplify

[vale wigeon]

notice that you are essentially summing unit fractions with coefficients 1/4, -1 and 3/4

thinking about it this way may make finding the pattern of simplification a bit easier

[valid phoenix]

how does this make it simpler

can i combine the 3 fractions into one

[short vapor]

yes! you can in a way

notice all the terms with 3 in the brackets

give me a second

[valid phoenix]

okay

[short vapor]

the first term, r = 2, so the "r+1" term has a 3
the 2nd term, r = 3 so the "r" term has 3
and the 3rd term, r = 4, so the "r-1" term has 3

does that make sense?

[valid phoenix]

ye

s

[short vapor]

oki

so

let me isolate them

[valid phoenix]

so u can group them into one

?

[short vapor]

yeah!!

[valid phoenix]

i calculated the sum of it equals to 0

[short vapor]

mhm

and notice it doesn't just work for 3

[valid phoenix]

doesnt work for the next group tho

[short vapor]

no it does

$$\frac{3}{4x} - \frac{1}{x} + \frac{1}{4x} = 0$$

[ocean seal]

Everbound

[short vapor]

for our example, x = 3

but if you work it out it doesn't actually matter what x is

[valid phoenix]

oh yeah

it actually work

[short vapor]

yea

[valid phoenix]

so the pattern is like the sum of the terms in the group equals to 0

which means the terms in the group can be cancelled

[short vapor]

mhm

all those diagonals sum to 0

[valid phoenix]

so the remaining would be the ans rite

ohh

thx i understand it now

: D

.close

[lone heart]

Channel closed

Closed by @valid phoenix

Use .reopen if this was a mistake.

[knotty garnet]

fyi this technique is known as "telescoping"

[valid phoenix]

does it refer to the diagonal cancellation

[knotty garnet]

yeah, of course "diagonal" is the way you arranged it here, but in general it refers to this repeated cancellation until only the ends remain

each time you cancel its like the telescope collapsing one segment

[lone heart]

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.

[thick trail]

Reduce the Eqn $x^3+x^2+9x+12=0$ into a standard cubic Eqn and use Cardan's method for finding it's roots

[ocean seal]

TᖇᗩᑎᔕᑭᗩᖇEᑎT ᔕᕼᗩᗪOᗯ

[lone heart]

@thick trail Has your question been resolved?

[thick trail]

<@&286206848099549185>

[tight pier]

well isn't it already reduced?

are you supposed to turn it into a depressed cubic?

[thick trail]

I gotta turn it into the form of $x^3 +3Hx + G = 0$

[ocean seal]

TᖇᗩᑎᔕᑭᗩᖇEᑎT ᔕᕼᗩᗪOᗯ

[thick trail]

GG

[river totem]

x = y-1/3

try this

[lone heart]

@thick trail Has your question been resolved?

[thick trail]

Alr

[river totem]

that works

[river totem]

now you have to simplify

[lone heart]

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.

[past geode]

hello! could you help me try and remember all of these definitions please?

[past geode]

prime number, composite number, prime factor, multiples,

Thanks

[vale wigeon]

we cannot really help you memorize these

bc we do not know what memorization method(s) work for you

[past geode]

ok i get it and one other question aswell: lets say the exchange rate from euros to dollars is for euros 0.93 and dollars: 1 how would i work out how to find 15 euros?

or if i have 15 dollars how would i work out how many euros i have?

[halcyon mango]

15*0.93=amount of euros

[past geode]

ok and if it said work out how many dollars 15 euros is what would i do?

[halcyon mango]

1 dollar = 0.93 euros

correct?

[past geode]

yes

[halcyon mango]

You just divide in that case

[past geode]

so to find out how many dollars 15 euros is i would do 15 divided by 0.93?

[halcyon mango]

15/0.93

Indeed

[past geode]

ok thank you so much on this i have got a test tommorow and my teacher didnt rly explain it well

[halcyon mango]

No problem, feel free to ping for anything else

[halcyon mango]

Did you understand what these are

[past geode]

kinda ann said she couldnt explain

but if you could help me memorise then that might help more

[halcyon mango]

Prime numbers are numbers that are only divisible by themselves and one

one sec

[past geode]

ok np

[halcyon mango]

Prime numbers up to 100?

Or what

[past geode]

Yeah

I just need definitions for them thats all

[halcyon mango]

Don’t really have a way of memorizing

But

If it’s up to 100

Just try for yourself

Divide the number by 2 up until 10

[past geode]

Ok thanks alot your like one of the best helpers on this whole mathamatics server 🤣

[halcyon mango]

If you get decimals for each answer it’s a prime number

[past geode]

Ok

[halcyon mango]

Haha I’m still very bad at math

Ty tho

[past geode]

What grade?

[halcyon mango]

11th

You?

[past geode]

Ah at least your near the end of school

Grade 8

Just started

[halcyon mango]

I see

[past geode]

Alot of painful years to come

[halcyon mango]

Stuff like that can be tricky

So just ping if you need anything

[past geode]

I just find this kind of math hard where you have to memorise stuff

Do i ping you?

[halcyon mango]

Yeah or dm

[past geode]

Kk thanks

[halcyon mango]

You’ll get the hang of it

[past geode]

Yeah eventually

[halcyon mango]

Bye and good luck

[past geode]

Cya thanks again

.close

[lone heart]

Channel closed

Closed by @past geode

Use .reopen if this was a mistake.

[lone heart]

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.

[runic obsidian]

fellas what am i missing

[exotic canopy]

how did you arrive to that expression?

[runic obsidian]

tbf i forgor lol

[mighty pasture]

you may find this useful ?

(in order to think about how to get this blue area in the first place !)

[runic obsidian]

kinda blanking on what im looking at 😭

[marsh hamlet]

Integrand is pi(x^2-(3x-x^2)^2)

[mighty pasture]

how did you find the area of the blue?

because so far its blue - white, but you have no good way of finding white, right ?

but you can find the intersect of the two lines and integrate to find red

and you can subtract the white triangle left behind as well

so whole integral - red - white triangle

then vol of revolution

[runic obsidian]

ahh ok

(im stil kinda lost)

.close

[lone heart]

Channel closed

Closed by @runic obsidian

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.

[dim turtle]

need help understanding this

so this i understand the power rule, but what confuses me is why does (-1/2 +1) get multiplied by negative 1?

im confused on how to solve the integral not the improper integral part

[marsh hamlet]

Chain rule

[dim turtle]

could you elaborate?

i dont understand where exactly or why you would apply chain rule here

[marsh hamlet]

(4-x)'=-1

[dim turtle]

so why do we apply the chain rule here?

[lone heart]

@dim turtle Has your question been resolved?

[lone heart]

@dim turtle Has your question been resolved?

[lone heart]

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.

[hollow cedar]

Any stat heads in here? not too sure if this is the right approach and i really don't wanna have to redo all the other questions if i get this wrong LOL. Just want to confirm this is the correct method:

[prime badge]

,calc 0.25(0.5)+3.5(0.3)+6.5(0.25)+0.2(13)

[ocean seal]

Result:

5.4

[prime badge]

i don't know waht i'm doing just checking what i would get

[hollow cedar]

fair enough

.close

[lone heart]

Channel closed

Closed by @hollow cedar

Use .reopen if this was a mistake.

[lone heart]

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.

[devout dock]

<@&286206848099549185>

is anyone here?

[alpine nacelle]

call x the number of poles in tel aviv and y the number of poles in ramat gan

write what the exercise says as two equations

then you can solve the system

[devout dock]

x = 1500
y = x * 1.5

???

wait actuall no, it's 0.5

[alpine nacelle]

not quite, the exercise doesn't say that there are 1500 poles in tel aviv

[devout dock]

either way, I keep getting 750

[alpine nacelle]

also, it's not 1.5 nor 0.5

[devout dock]

I fixed it,

I wrote it incorrectly mb

[alpine nacelle]

oh ok

lemme read it again then

[devout dock]

In Tel Aviv, there are 1,500 Poles, which is 50% more than the amount in Ramat Gan. The amount in Ramat Gan is 25% greater than the amount in Eilat. How many Poles are there in Eilat?

[lone heart]

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.

[devout dock]

In Tel Aviv, there are 1,500 Poles, which is 50% more than the amount in Ramat Gan. The amount in Ramat Gan is 25% greater than the amount in Eilat. How many Poles are there in Eilat?

here's the fixed translation ^

[lone heart]

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.

[coarse elm]

did i do a mistake or something

[pseudo ice]

You should have a -25 rather than a -5, if you did difference of two squares?

[north rover]

You make mistak, you fix mistak, make it again! A cycle of mistak!

[lone heart]

@coarse elm Has your question been resolved?

[lone heart]

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.

[misty ember]

Is there an equation for a rotated circle in some point in 3D space

[misty ember]

I also throught that I could apply a rotation matrix then translate

But I wonder if there's something already there

[kind sparrow]

It depends if you are going to use quaternions or not, but the two formulas I see used otherwise are given's rotations and the rodrigues rotation formula

[misty ember]

So the simplest is to take a circle in parametric anf do a rotation matrix?

[alpine nacelle]

if you want to rotate a circle around some point A, you can do the translation A->O, then rotate around O with matrix of rotation around origin, then do the translation O->A

[misty ember]

But a rotation is a linear transformation, if I translate first then I'd rotate around (0,0,0)

[alpine nacelle]

yes that's the point, if A is your center of rotation you want to rotate around it like if it was O ?

[misty ember]

Yeah, but first rotation no? And then translation

[alpine nacelle]

imagine a square with center at (1, 1), if you want to rotate the square around its center by 90°, you should get it invariant right ? because it's like translating the center to O, then rotating, then translating back

[misty ember]

I want to rotate the circle around the circle centre not around (0,0,0), if I translate first then rotate then it wouldn't be the result I want

[alpine nacelle]

I'm not sure what result you want so try your way

[misty ember]

I want to rotate a circle around it's centre in 3D, first I thought interesting a plane with a sphere of the same radius but that devolved into way to many steps and it was not elegant

Okay so wolfram has a page for it sorry, it does a matrix multiplication 😅

Sorry for asking

.close

[lone heart]

Channel closed

Closed by @misty ember

Use .reopen if this was a mistake.

[lone heart]

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.

[old yew]

(c) Every sequence of rational numbers has a convergent subsequence.

I'm trying to prove this statement (well disprove) in this case

If i can show n is a convergent sequence of rational numbers, then show that any subsequence of (n) does not converge, then the original statement is disproven right?

[old yew]

that any subsequence of (n) does not converge, then the original statement is disproven right?

How do i prove this part specifically

[pallid scarab]

"n is a convergent sequence of rational numbers"
did you mean divergent?

but yes that's a fine counterexample

[old yew]

oops ye i meant divergent

original statement says every sequence so it should include divergent ones too

[pallid scarab]

well divergent sequences are indeed subsequences

but you can notice that if you're trying to disprove that statement, the counterexample would have to be a divergent sequence

[old yew]

Ah okay

[lone heart]

@old yew Has your question been resolved?

[lone heart]

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.

[urban bane]

how to solve for limits with square roots in expression

[urban bane]

in other limit problems I understand how to use factoring to get the epxression and evaluate it

but when square roots get involved I'm lost

and mind you my algebra is rather rusty when it comes to square roots, I'm not sure how to deal with it

[lone heart]

Show your work, and if possible, explain where you are stuck.

[urban bane]

plugging in 0 for T obviously leads to an evaluation of 6/0

which is not possible, can't divide by 0

I could try breaking the expression apart

but I'm not sure what to do beyond something like this

7/(sqrt(49 - t)) * 1/t - 1/t

I know there is a method of using conjugates... which I don't quite fully understand how that even works in practice

but with some magic you somehow wind up with a expression with canceled out square roots

and for the record I am given the answer... but the problem is I'm stuck on how you can even manage to get to the solution

[rustic coral]

Did you combine the two fractions?

If not, do that

b/c what you're trying to do rn is just going to give you infty - infty (plus or minus some signs)

which is indeterminate

[urban bane]

combine what two fractions?