help-17

[twin meteor]

kisnar

kisnar

[subtle helm]

you have u = sqrt x

so u^2 = x

that was my hint for you

[vocal sleet]

@vast shale Has your question been resolved?

[subtle helm]

Excellent

[twin meteor]

kisnar

kisnar

[subtle helm]

you can just make another substitution

Not quite

you will get two integrals in the substitution in thinking of thiugh

[vocal sleet]

Channel closed

Closed by @normal iris

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.

[lapis frigate]

it gave a formula

distance = .083 x force

but

i got 48.19 but i dont know whether to double or divide by 2

because its talking about the force you need to lift

so the 2 springs should mean you use less force

https://www.youtube.com/watch?v=W-iwCLK_epM

[vocal sleet]

@lapis frigate Has your question been resolved?

[lapis frigate]

<@&286206848099549185>

the teacher says to double it but it sounds like the force is the amount of force you need to use to lift the door

so that should be halved

.close

[vocal sleet]

Channel closed

Closed by @lapis frigate

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.

[hot mica]

Q1

Idk how to solve it algebraically

[bitter pilot]

Notice how (n-7)! is one more factor away from (n-8)!

Basically (n-8)! = (n-8)(n-7)(n-6) x ... x 3 x 2 x 1

[hot mica]

Ohh

Do I solve for the final value of 21C8

Actually idk how to algebra this still😭

[bitter pilot]

Make the two fractions to one together on the left side.

[hot mica]

Maybe I'm just bad at this 😭

[vocal sleet]

@hot mica 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.

[umbral vapor]

how do you show that this is always real give that a and b are real and n is a positive integer?

[umbral vapor]

i realised that a+bi can be expressed as r<theta and b+ai can be expressed as r<(pi/2-theta)

but after using de moivres theorem to apply the powers im stuck

[hybrid flicker]

you can factor by r^4n

[spiral turtle]

Hint, (e^ipi/2)⁴ = what?

[umbral vapor]

this is always real right

oh wait

nvm

i got it

i should have factorised

killing myself

.close

[vocal sleet]

Channel closed

Closed by @umbral vapor

Use .reopen if this was a mistake.

[spiral turtle]

Don't beat yourself up about it.

The first insight was very good

[spiral turtle]

This one

[umbral vapor]

man i had this qn in an exam paper

and i didnt manage to answer it in time

sadj

[spiral turtle]

You'll remember it now though

[umbral vapor]

real

thank you

xie xie

[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.

[leaden crane]

Hello! How could I setup this trapezoidal rule starting integral?

[bitter pilot]

hi

[leaden crane]

hallo hallo hallo

[subtle helm]

[bitter pilot]

❤️

someone ignores me

[leaden crane]

😭

[subtle helm]

maybe its because we're ignoring her request for help

[leaden crane]

i just have this last practice problem before i take the test 🙏

[bitter pilot]

i always been there...

[bitter pilot]

This looks familiar to the other calculating the Volume

area x height

[leaden crane]

yeah i think so

i just don't remember how to do it lol

[bitter pilot]

trapezoidal was this formula

you are given the function values and Delta x

[leaden crane]

delta x is 2?

perchance

[subtle helm]

the idea is

for every pair of adjacent points

[bitter pilot]

[bitter pilot]

adjacent👽

[subtle helm]

imagine you have a trapezoid having legs f(x_i) and f(x_{i + 1}), and width 2

[bitter pilot]

what the adjacent

[subtle helm]

so it's literally the same idea as having riemann rectangles

but now they're just trapezoids

[bitter pilot]

ye

[subtle helm]

adjunct

[leaden crane]

soooooooooooo delta x is 2?

lol

[bitter pilot]

loooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooool

[leaden crane]

my brain is confusion

[subtle helm]

J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4J4

[bitter pilot]

WHAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAT

[subtle helm]

[bitter pilot]

I JUST SENT THE FORMULA YOU DM'ED ME

[leaden crane]

i know the formula

[bitter pilot]

can you use it

[leaden crane]

i have it on my other screen, but i'm confused with what delta x is and the actual integral

like the bounds i guess

unless it doesn't matter?

[bitter pilot]

hmm

dont

[bitter pilot]

f(x_i) are given

Delta x is the interval

and LETS GOO plugerino it in man

someone you can do it

get that bread

[subtle helm]

[leaden crane]

just that?

[bitter pilot]

hmm looks like it

I would have programmed it with some

[leaden crane]

the answer on the paper is 119/3 cubic feet

i got 238

lol

[bitter pilot]

that's also just the area

[leaden crane]

do i cube it?

cubed root*

[bitter pilot]

two inches in 🦶🏻

?

[leaden crane]

wot

[bitter pilot]

Volume = Area x Height

[leaden crane]

oh

[bitter pilot]

You calculated the area in feet

height is 2 inches

maybe it's that

[subtle helm]

that's alot

[bitter pilot]

i cant

help

@brisk moss

[leaden crane]

got it

238 * 1/6 = 119/3

[bitter pilot]

pls never ignore me again

[leaden crane]

😭 i didn't

i think

[brisk moss]

two inches is not a lot

[bitter pilot]

I SENT THIS

i thought it would helped

[subtle helm]

is that minecraft or some shit

[leaden crane]

lmaoooo

[bitter pilot]

I am always there math wise

[kind light]

im pretty sure somebody asked for help for this

[leaden crane]

okokokokokokokok test time

thank you for your guys' help :D:D:D

[bitter pilot]

GET THE BREAD :DDD

[subtle helm]

[brisk moss]

[vocal sleet]

@leaden crane 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.

[humble gust]

Hello, can someone help me solve this calc question? I would also like to know why the answer isn’t 8 if you can explain. Thanks!

[humble gust]

oops I meant why it isn’t 0

[astral pilot]

what is the derivative of 6

[humble gust]

0?

[astral pilot]

yes

[humble gust]

Ohhh

[astral pilot]

lol silly mistake

[humble gust]

YUPP

they always get me

I got it now tho

Ty very much!

.close

[vocal sleet]

Channel closed

Closed by @humble gust

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.

[torpid steppe]

Can I have support in solving this?

[glacial osprey]

you can do it!

🧙

[glacial osprey]

ill assume you want to get the roots?

[torpid steppe]

Eg: (x-4) (x-8) =0
= x = 4 x=8

I need it to solve into an answer similar to that

[glacial osprey]

well you already have the things

(7y-8)(y+6)

just solve both for zero

[torpid steppe]

I dont know how to solve it with Y included

thats what Im stuck on

because you have to use a different method I think

[vast shale]

what

[vast shale]

why?

[storm terrace]

Wdym with y included??

[vast shale]

should be the same

[torpid steppe]

Could you lead me through the steps? I think another student in my class may have told me wrong 😂 😭
Ive been sick off class for a while so have been catching up through others

[vast shale]

sure

[storm terrace]

What do you currently have?

[torpid steppe]

Im just completely stuck, would be good to start from the beginning

[vast shale]

you just solve 7y-8=0 or y+6=0

[torpid steppe]

Im confused how to do it with Y included

[vast shale]

wdym?

[storm terrace]

What does that even mean?

[torpid steppe]

I can do it without Y, but I dont know how to do it with Y included

[vast shale]

it doesn't change anything

[storm terrace]

How would you do it without y?

[torpid steppe]

I cant just count 7y as 7 though

OH

[vast shale]

what do you mean?

[torpid steppe]

NVM

7y-8=0 would mean that 7y=8

right?

[storm terrace]

Yes

[torpid steppe]

I think I looked at it wrong 😂

So would I write the first bit as 7y=0?

I mean 7y=8

[storm terrace]

Well if 7y=8, what's y?

[torpid steppe]

7xy=8 so youd do 8 divided by 7 which is 1.142

7 times y not 7xy sorry

[storm terrace]

Or just use the fraction

But yes, that

Now do the second one

[torpid steppe]

So I would write it as
8

7

?

kk

[storm terrace]

Yes, but there's two
Don't forget the second one

[torpid steppe]

y=-6

y+6 = 0 so y=-6

[storm terrace]

Yep
Those are your two answers

[torpid steppe]

So I would write y=8/7 and y=-6

?

[storm terrace]

Pretty much

[torpid steppe]

Perfect, thank you!
Would it be okay if I ran a few more of my questions by you so we can ensure that I am on the right track?

[storm terrace]

Sure thing

[torpid steppe]

okay, so the next one is

[storm terrace]

If I disappear out of nowhere, I feel asleep and you can ping helpers after 15 min

[torpid steppe]

👍

[storm terrace]

Same exact thing

[torpid steppe]

so 3c=-5 which means c=5/3?

and then c= 8?

[storm terrace]

You dropped a negative

[storm terrace]

And 5/3 isn't 8

[torpid steppe]

sorry I mean -5/3

Noooo the 8 is for the second one, i should have been more specific

[storm terrace]

Oh yeah

8 and -5/3 is right

[torpid steppe]

so the total answer is c= -5/3 and c=8?

[storm terrace]

Yep

[torpid steppe]

So 6x=1 which means x=1/6

?

and for the second part it would be x=4?

so total is x=1/6 and x=4?

Do you mind if I ask you for help on another question?

[storm terrace]

Sure

[torpid steppe]

Its a bit different than these ones

a smidge

[storm terrace]

Once again
If I disappear... Yada yada

[torpid steppe]

👍

[storm terrace]

Oh
Just
Ignore the 8 at the start

Since if we divide both sides by 8, 0/8 is 0

[torpid steppe]

got it

So just the brackets?

[storm terrace]

Yep

[torpid steppe]

so the first bracket is 10x=-5 which means that x=1/2? or would i do x=0.5?

-0.5

sorry

[storm terrace]

Dropped a negative

Both are right

[torpid steppe]

Which would be prefered?

Or are both weighed the same?

[storm terrace]

Both are the exact same

[torpid steppe]

got it

2nd bracket would be x=8?

[storm terrace]

Unless your teacher specifies what they want
They'd be insane to grade then differently

Yep

[torpid steppe]

so it would be x= 0.5 and x=8?

[storm terrace]

Missing negative

[torpid steppe]

-0.5

sorry

[storm terrace]

There you go

[torpid steppe]

x=-0.5 and x=8

Thank you!

You should probably get to sleep 😂

[storm terrace]

Night!

[torpid steppe]

.close

[vocal sleet]

Channel closed

Closed by @torpid steppe

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.

[torpid steppe]

Sorry, Im back
Onto a different sort of question

[torpid steppe]

How would I rearrange this?

[storm terrace]

Subtract 3 from both sides

[torpid steppe]

so y=x+3

Thank you!

So for this I would add 3 on both sides?

so I get y=x-4

I always get caught on these ones because the fractions trip me up, what would be my best course of action?

Would i do 6y=36x?

and then simplify?

y=6x?

[outer warren]

no

[torpid steppe]

Always get tripped up with the fractions 😂

[outer warren]

you essentially just implied that y/6 is the same as y

[torpid steppe]

Yep thought that was wrong

[outer warren]

consider what operations you could apply to
y/6 that'll give you just y

and do that to both sides of the equation

[torpid steppe]

Sorry, could you break that down for me?

[outer warren]

$\frac y6 \ \boxed{\text{some simple action}} = y$

[twin meteor]

ℝαμΩℕωⅤ

[torpid steppe]

so y=36x?

[outer warren]

add,subtract,multiply,divide by something
pick the one you believe would be appropriate here

yes

[torpid steppe]

Got it, thank you!

How would I go about doing this one?

Would it be
y = (x - 3) ÷ 4

[outer warren]

yes

[torpid steppe]

Perfect, thank you so much for your help!

.close

[vocal sleet]

Channel closed

Closed by @torpid steppe

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.

[stoic mica]

help please, where do i start?

[vocal sleet]

@stoic mica Has your question been resolved?

[vocal sleet]

@stoic mica Has your question been resolved?

[vocal sleet]

@stoic mica Has your question been resolved?

[lavish river]

mathematical induction

[stoic mica]

For the first one.

Base case: n=1
1 + 1/2 = 3/2 > 2/3
Inductive hypothesis:
1/k + 1/(k+1) + ... + 1/2k > 2/3
and then what? I should manipulate this expression algebraically but I have no idea what to do.

[stoic mica]

<@&286206848099549185>

[cursive turret]

you need now to do the induction step k -> k+1

[vocal sleet]

@stoic mica 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.

[solar forge]

is this step valid?

[solar forge]

they divided by beta but i dont see them multiplying by it anywhere, so its not equivalent

[river minnow]

Yeah, something's wrong there

[solar forge]

this is the next step

[river minnow]

Seems to be a typo and they meant beta^{k+1}/beta instead of beta^k/beta

[solar forge]

okey, thank you, this is a draft version of materials so i will let them know :)

.close

[vocal sleet]

Channel closed

Closed by @solar forge

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.

[jaunty merlin]

b

[vocal sleet]

@jaunty merlin 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.

[marsh kiln]

can somone tell me that my calculas problem solution is correct?

[marsh kiln]

the question

[spark flicker]

alr whats your solution

[marsh kiln]

her is the solution

[spark flicker]

it is in fact correct

[marsh kiln]

i was in doubt of the formulas for checking the differntials. thanks

.close

[vocal sleet]

Channel closed

Closed by @marsh kiln

Use .reopen if this was a mistake.

[spark flicker]

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.

[wraith girder]

How would I solve this step by step?

[wraith girder]

in my prep class and i have no idea what im doing

[still cipher]

you can solve this by applying simple algebra operation

[vast shale]

Open the brackets, find coefficient of x, compare coefficients of x in both equations

[wraith girder]

So i'd delete the brackets?How would I find the coefficent?

[vast shale]

Not delete, you have to distribute by multiplying

[wraith girder]

So i'd multiply whats in the first bracket against whats in the second bracket?

[still cipher]

3(2x^2 + px +8) -16x(p + 4) = 6x^2 -155x + 24 [ given in question ]
now,
6x^2 + 3px + 24 - 16xp - 64x = 6x^2 - 155x + 24
[ subtracting 6x^2 from both side ]
3px + 24 - 16xp -64x = -155x + 24
[ subtracting 24 from both sides ]
-13xp -64x = -155x
[ taking x as common ]
x( -13p -64 ) = x( -155 )
[ diving both sides by x ]
-13p - 64 = -155
-13p = 64 - 155
p = (64 - 155)/(-13)
now you can solve this.

[vast shale]

P is 7 , I think

[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.

[still cipher]

igues

[vast shale]

Yup, he said it

[vast shale]

You don't have to solve the whole thing, just the parts where x is involved

[still cipher]

uhh so i am not supposed to solve this 😅

damm

[vast shale]

But since you are a beginner , do the whole thing. You'll realise how to do things quicker with practice

[wraith girder]

i think i might get a math tutor

[vast shale]

Haha

Do you want me to show you the quicker way?

You could get a bit confused though

[wraith girder]

Thank you!

[wraith girder]

i just need someone to explain this to me like im 5

[vast shale]

Do you know how to multiply when brackets are involved?

[wraith girder]

no

[still cipher]

mention not, can you find what p is ? ( hehe )

[wraith girder]

7?

[still cipher]

i dont know too.. let me check

[vast shale]

Look up distribution on YouTube. It hardly takes ten minutes and is so easy but if you avoid it, your whole algebra is gone

[wraith girder]

thank you bro im gonna have to highkey relearn everything

[vast shale]

After you're done with it ,try doing this problem again, you'll get everything

[wraith girder]

Alright!

[still cipher]

yup its seven

[wraith girder]

ALRRR

THANK YOU

.close

[vocal sleet]

Channel closed

Closed by @wraith girder

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.

[haughty geyser]

when i try to do this it always turns into x^2 =25 but it makes no sense

[haughty geyser]

first i get rid of /x-5

so x^2+x-30= x-5

[vast shale]

multipy by X-5 first

on both sides

[haughty geyser]

yes

[vast shale]

to get to X^2+X-30=x-5

then subtract x-5 to the left side

[hushed pewter]

so far so good

[vast shale]

so X^2-0-25=0

then you could factorize

(X+5)(X-5)=0

[dull bear]

That isn't OP (though they're copying exactly what they said)

[plucky trout]

why doesn't it make any sense?

[haughty geyser]

yes so x=5

[vast shale]

so X=-5 and x=5

[plucky trout]

x=5 doesnt work

[haughty geyser]

yes

[plucky trout]

only answer is x = -5

[haughty geyser]

so its -5?

[vast shale]

oh yeah x=5 doesn't work

[haughty geyser]

ohhh

[plucky trout]

yes

[vast shale]

cause you can't divide by 0

[haughty geyser]

ok

i didnt do factoration

[vast shale]

x=-5 is the only real solution

[haughty geyser]

so i was only getting 5

[vast shale]

oh unlucky

[hushed pewter]

Thanks

[haughty geyser]

thank you

.close

[vocal sleet]

Channel closed

Closed by @haughty geyser

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.

[thin orchid]

Second degree equation.

You can do factorization or find the determinant

as it is a straight line segment, only the positive value will be useful

[lethal rock]

So a=3?

[thin orchid]

yeah

[lethal rock]

Okay thanks again!!

[thin orchid]

you welcome

[lethal rock]

.close

[vocal sleet]

Channel closed

Closed by @lethal rock

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.

[tranquil trellis]

If you add the union and the intersection it'll give you the total perimeter of both squares

And total area

[distant perch]

sure

[vocal sleet]

@distant perch Has your question been resolved?

Channel closed

Closed by @distant perch

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.

[long wasp]

Hi, how can I find the points A and D on this elipse? Since they don't line up with any of the given measurements, i'm not quite sure. Any advise or guidance would be much appreciated. Thanks.

[dim stirrup]

One way to try and solve this problem is by attempting to graph this ellipse and line

An easy way to do this is to put the center of the ellipse at (0, 0)

[vocal sleet]

@long wasp Has your question been resolved?

[vocal sleet]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[long wasp]

.reopen

[vocal sleet]

✅

[long wasp]

thanks, so, the equation would be x^2/64+y^2/9=1?

[long wasp]

so using the graph is the only way to solve it?

[dim stirrup]

I'm fairly certain this is correct

[dim stirrup]

There are probably other ways

[long wasp]

So plotting, its 1.984, but that is just half the height right, do i multiply it by two?

[dim stirrup]

How did you get 1.984?

[long wasp]

solved y for x=6

[dim stirrup]

It does not indicate that x = 6

However, it does indicate that the horizontal line that A and D sit on are exactly 1 m away from the bottom of the ellipse

[dim stirrup]

How did you get x = 6?

[long wasp]

Its 1m from the bottom of the elipse, as per the diagram!!!

[dim stirrup]

Shouldn't that be y = -2? How does that lead to x = 6?

[long wasp]

because we are solving for y

[dim stirrup]

Don't we already have y if we know that y = -2?

[long wasp]

Yes, but I need to verify it.

Part of "showing working"

[dim stirrup]

It's already verified

The intersection of a shape and a line of y = a must have a y-coordinate of y = a

[vocal sleet]

@long wasp Has your question been resolved?

Channel closed

Closed by @long wasp

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.

[orchid sierra]

Hi

[orchid sierra]

I need help with this sheet

[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

[orchid sierra]

7

I don’t know what to do any any of these questions

[pale perch]

seen these?

[orchid sierra]

Got taught them in class but I slept through it all

[pale perch]

you just need to apply the relevant ones here, thats all

[orchid sierra]

So wait

This is a division rule?

[pale perch]

yeah, ie quotient rule

[orchid sierra]

What’s a quotient rule

[pale perch]

the same thing

[orchid sierra]

Oh ok

So I write down “ this is a division rule”

[pale perch]

thats like saying addition is addition, not really a description

[orchid sierra]

It says to explain the following rule in your own words

What does it mean by that

[pale perch]

to explain what it means by your own understanding

[orchid sierra]

So when two exponents are divided it turn into a negative?

I learnt that in class since I was awake on that part

[pale perch]

too unspecific

need to mention the base

[orchid sierra]

Idk what to say

If you were me what would you say

?

[vocal sleet]

@orchid sierra Has your question been resolved?

[orchid sierra]

.close

[vocal sleet]

Channel closed

Closed by @orchid sierra

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.

[dapper parcel]

Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves x=y√,
x=0,
and y=2
about the x
-axis.

[dapper parcel]

can someone help

why is it not integrate from 0-2 pi(x^4)dx

are the bounds from 0 to sqrt2?

[vocal sleet]

@dapper parcel Has your question been resolved?

[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.

[atomic jetty]

the answer i gave was wrong

the answer key says the answer is 1/3 can someone please explain?

[inner osprey]

seems suspicious

[atomic jetty]

i can show you the answe key

[atomic jetty]

wdym

[brisk moss]

[atomic jetty]

?

[brisk moss]

this is wrong

[atomic jetty]

the answer key?

[brisk moss]

yea

[atomic jetty]

my math teacher does that a lot 😆

is the answer 3/15?

[brisk moss]

yea

[atomic jetty]

ok perfect thank you so much

.close

[vocal sleet]

Channel closed

Closed by @atomic jetty

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.

[long wasp]

formula x^2/64+y^2/9=1
How can I find the range of x where y is equal to or greater than 3.6?
that is, the height of the elipse is greater than 3.6m

[long wasp]

thanks

<@&286206848099549185>

[vocal sleet]

@long wasp Has your question been resolved?

[vocal sleet]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[long wasp]

.reopen

[vocal sleet]

✅

[long wasp]

<@&286206848099549185> please

[vocal sleet]

@long wasp Has your question been resolved?

[vocal sleet]

@long wasp Has your question been resolved?

[vocal sleet]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[fervent wasp]

.reopen

[vocal sleet]

✅

[fervent wasp]

I don’t think you can find x in that height

[vocal sleet]

@long wasp 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.

[atomic mica]

The underlined is what I got for question 12

[atomic mica]

and that is wat the website got

and they basically the same awnsers

[urban edge]

no they arent

you didnt use product rule

[atomic mica]

oh ok

.close

[vocal sleet]

Channel closed

Closed by @atomic mica

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.

[tribal patio]

why?

[tribal patio]

i thought the quadrilateral theorem is only when it is inscribed inside a circle?

[toxic citrus]

Look here we can see that CAX and CBX are 90°

And since the sum of all angles of a quadrilateral is 360° X = 92°

@tribal patio

[tribal patio]

ohh ok

OHHH

I DID NOT SEE THAT

TY\

.close

[vocal sleet]

Channel closed

Closed by @tribal patio

Use .reopen if this was a mistake.

[toxic citrus]

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.

[stiff dawn]

wait guys

.rotate

[stiff dawn]

rotatew

[astral shadow]

It starts with solution, where's the question?

[vocal sleet]

@stiff dawn 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.

[tribal patio]

i redid it and got 648, what did i do wrong?

[tribal patio]

my process was 9x9x8

[inner osprey]

the last digit must be 5

[tribal patio]

yup

[inner osprey]

so you subtract 1 from each of those numbers

[tribal patio]

ohhhhh

OH

SORRY

I JUST DID A FINAL TODAY AND NOW IM STUDYING FOR ANOTHER ONE SO MY BRAINS ALREADY FRIED

SORRY I WASTED UR TIME

.close

[vocal sleet]

Channel closed

Closed by @tribal patio

Use .reopen if this was a mistake.

[inner osprey]

no worries

[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.

[radiant turtle]

I'm unable to solve this question, can someone help?

[vocal sleet]

@radiant turtle Has your question been resolved?

[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.

[serene herald]

hi can anyone please help, I don’t understand what I did

wait nvm

.close

[vocal sleet]

Channel closed

Closed by @serene 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.

[rain canopy]

Anyone able to explain

A squared + b squared = c squared

[sharp lynx]

,rccw

[rain canopy]

I have to explain it to my friend and I forgot how to do it correctly

Pretty sure I wrote smth wdong

Wrong*

[sharp lynx]

This all makes my teeth itch

[rain canopy]

Ikkk I wrote that wrong 😭

How do I write it properly

[sharp lynx]

Neither of those look like this

Which I assume is what you wanted

[rain canopy]

Yep

[sharp lynx]

That's the correct form, so start by writing a step that looks closer to that

[rain canopy]

3 squared + 4 squared?

[sharp lynx]

Perhaps you should draw the cone

[rain canopy]

The slant height is the c correct?

[sharp lynx]

Correct

[rain canopy]

Cuz it’s the hypotenuse

So 3 squared + blank = 4

[sharp lynx]

No

[rain canopy]

Then what?

[sharp lynx]

Instead of a, b, c let's try more relevant variable names

r, h, s for radius, height and slant height respectively

[rain canopy]

Alright

[sharp lynx]

Please tell me what pythagoras's theorem says in terms of r, h, s

[rain canopy]

R squared + h squared = slant height

[sharp lynx]

Not quite, try again

[rain canopy]

R squared + h squared = s squared

[sharp lynx]

Better

[rain canopy]

The radius is 3

So 3 squared

[sharp lynx]

Keep going

[rain canopy]

I’m lost for the height

[sharp lynx]

That's what you're solving for

You're given the slant height

[rain canopy]

Do we start with s squared

[sharp lynx]

What do you mean "start with"

[rain canopy]

Like 4 squared = 3 squared + height

[sharp lynx]

height...

[rain canopy]

I’m cooked man

[sharp lynx]

Something seems to have gone missing between these two

[rain canopy]

Okay I have to start with the radius

[sharp lynx]

That's not what I meant

[sharp lynx]

... + height squared

[rain canopy]

Ohhhh

[sharp lynx]

I'm going to insist you write that, because you forgot to write it earlier and it resulted in you getting the wrong answer

[rain canopy]

Okay

Now what

[sharp lynx]

Rewrite this properly please

[rain canopy]

4 squared = 3 squared + height squared

[sharp lynx]

Alright

Now you solve

[rain canopy]

How do I write that in the calculator

[sharp lynx]

You shouldn't need one

[rain canopy]

16=9 + height squared

[vocal sleet]

@rain canopy Has your question been resolved?

[vast shale]

Okay, then what is height squared?

[vast shale]

Use this equation

[rain canopy]

But like how do I find the height squared

[vast shale]

Sigh

16= 9+ height squared

Subtract 9 from both sides

What do you get?

16-9 = 9+ height squared -9

7 = height squared

height = √7

Now calculate volume

@rain canopy got it?

[rain canopy]

Ohhhhh

Okayyy thanks

[vocal sleet]

@rain canopy Has your question been resolved?

[rain canopy]

.close

[vocal sleet]

Channel closed

Closed by @rain canopy

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.

[minor folio]

Is there no easy way of solving an integral of the form:

[minor folio]

$(cosh(Bt)+Bsinh(B*t))^3$

[twin meteor]

! If you Dutch SEE my `about me

[minor folio]

of course you can write it out in sinh and cosh terms and then solve it, but I am looking for an easier way

[viral copper]

[ \int (\cosh (Bt) + B\sinh(Bt))^3 \dd{t} ]

[twin meteor]

Sadie Carnot (η = -1)

[viral copper]

like that?

weird

[minor folio]

yes

[minor folio]

like that

[viral copper]

yeah..

meth showed us

reality

[peak matrix]

it was dB

this is dt

yeah, it doesnt look easy

[viral copper]

grrrrr

I mean

it still should be easy enough

I think wolfram's algorithm is kind of stoobif

[peak matrix]

it might be just painful

[viral copper]

because you have cosh^2 sinh and sinh^2 cosh

so thats an easy usub

cosh^3 is cosh(1 + sinh^2) same thing again

but all in all your best bet is expanding it out @minor folio

I mean maybe

[peak matrix]

it seems like what wolfram did

[minor folio]

alright

[peak matrix]

there will be 4 terms in the expansion, so 4 integrals

[viral copper]

you could factor out cosh

and sub tanh

[minor folio]

ye

[peak matrix]

its actually not that bad after expanding everything

just painful and time consuming

[vocal sleet]

@minor folio Has your question been resolved?

Channel closed

Closed by @minor folio

Use .reopen if this was a mistake.

[minor folio]

.reopen

[vocal sleet]

✅

[minor folio]

I was wondering

[peak matrix]

ye?

[minor folio]

let's call V = [ \int_{0}^{T} (cosh(Bt)+Bsinh(B*t))^3 ,dt ]

[peak matrix]

it can be solved by that expansion, (a + b)^3 if thats what you're asking about. Then it's just integrals of cosh^3, sinh^3, cosh^2 sinh and cosh sinh^2

mmkay

[twin meteor]

! If you Dutch SEE my `about me

[minor folio]

is it possible to get an expression for T then?

that is, an expression of the from T = ....

[peak matrix]

T as a function of V and B?

[minor folio]

yes

[peak matrix]

tbf i dont think it can

because by solving the integral, you will get some really ugly expression containing many trig functions with T in argument

[minor folio]

is there some program for inverting?

[minor folio]

indeed

[peak matrix]

and idt it will be invertable nicely

by that i mean, im 99% sure it doesnt have closed form (in terms of functions that we standardly use)

e.g. even for simple equations such as y = xe^x we need to introduce new function (lambert W). Here you will have much much much much much more complicated thing, and expressing T will probably be impossible

[minor folio]

makes sense

thanks

[vocal sleet]

@minor folio Has your question been resolved?

Channel closed

Closed by @minor folio

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.

[cursive swift]

INTEGRATION: question about limits

[fervent wasp]

yes?

[cursive swift]

in this question, they gave us 2 pieces of information so i was wondering why i can set my limits as 40 85 and 10 0

i know that its a trick but i dont understand why we can do that

to cancel out the process of finding c

[vocal sleet]

@cursive swift Has your question been resolved?

[frozen bobcat]

The left side is an integral in terms of the temperature theta, the bounds given for temp are 85 to 40
The right is an integral in terms of the time t, the bounds given on time are 0 to 10 minutes.

[cursive swift]

.close

[vocal sleet]

Channel closed

Closed by @cursive swift

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.

[tall oasis]

hi, trying to find the common ratio

[vocal sleet]

@tall oasis Has your question been resolved?

[tall oasis]

<@&286206848099549185>

<@&286206848099549185>

[vocal sleet]

@tall oasis 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 sparrow]

can any one of yall help me with this one?

[crude arrow]

yes

[vast sparrow]

please do

[crude arrow]

when is the logarithm function defined

[vast sparrow]

I tried something

But answer is wrong

[crude arrow]

I'm ngl ayush

we going to have to start from scratch 💀

[vast sparrow]

Why

[crude arrow]

I cannot follow that

but it's okay

it will be quick!

[vast sparrow]

Ok

[crude arrow]

@vast sparrow

now we want it to be greater than 0 (the whole expression)

and the denominator cannot be 0

[vast sparrow]

Yeah

[crude arrow]

okay

now can you write that out

2x + 3/(4x^2 + x-3) > 0

[vast sparrow]

Sure

[crude arrow]

now draw me intervals where 2x + 3 > 0

and intervals where 4x^2 + x - 3 > 0

[vast sparrow]

Ok

[crude arrow]

now tell me the intervals they are both positive or both negative

[mild herald]

you made a mistake

[vast sparrow]

What?

[mild herald]

you are supposed to take areas where the expression is -ve not +ve

it should be (-2,3]

[vast sparrow]

Ok

Thanks man

[mild herald]

👍

[vast sparrow]

I joined this server today

Cause I wanted help with maths questions

Cause I couldn't figure out what was wrong with my solutions

[crude arrow]

no problem sorry

[vast sparrow]

Y'all are life savers

[crude arrow]

I couldn't follow your work

but thanks to @mild herald

[vast sparrow]

🙏🙏

[crude arrow]

the goat fr

[mild herald]

jee no?

[vast sparrow]

Fr

[mild herald]

yeah

[vast sparrow]

Your a jee student?

[mild herald]

was

just finished adv

[vast sparrow]

Damn

[crude arrow]

what's the diff

[mild herald]

harder version

of jee main

[crude arrow]

oh

[mild herald]

if you do well enough for jee main

[crude arrow]

I heard JEE is like the sat for india

[mild herald]

you can write jee adv

[mild herald]

pls

SAT is much easier

[crude arrow]

oh

[mild herald]

i would kill to write sats

instead of jee

😭

[mild herald]

i flopped

now bitsat session 2 👍

[vast sparrow]

What's that?

[mild herald]

for BITS

[crude arrow]

ayush

[mild herald]

pvt college

[crude arrow]

I have a request from you

[vast sparrow]

What

[vast sparrow]

Ohh ok

[crude arrow]

do you know the IIT university

[vast sparrow]

Yeah

I'm preparing for that

[crude arrow]

can you get in there

[vast sparrow]

Idk man

[mild herald]

uh

just

dont waste

time

[vast sparrow]

Test is hard asf

[mild herald]

and you can do it ez 👍

[crude arrow]

you gotta live life

wtf

wasting time is part of growing

[mild herald]

man

its always you

you privileged

white kids

that be shittin on asian kids

with no other options

[crude arrow]

💀

bro

what did I do

[mild herald]

we dont have a choice man 😭

[vast sparrow]

Wdym don't waste time?

[mild herald]

we cant live life unless our parents are loaded

[crude arrow]

nah I gotta lock in too lowk

[mild herald]

means like

study properly

dont build backlogs

etc

[vast sparrow]

Ok

[mild herald]

basic stuff

[vast sparrow]

Yea

[vast sparrow]

Fr

[vocal sleet]

@vast sparrow Has your question been resolved?

[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.

[hollow radish]

why did the guy derive it twice

it asked for velocity

not acceleration

[sweet birch]

well you need to know how the velocity is changing

[hollow radish]

we need to make sure that velocity and accleration have same sign right

cuz if not they are decreasing

[sweet birch]

if acceleration is negative then the velocity is decreasing, even if the velocity is still positive

which would mean the position is increasing

[hollow radish]

ok

.close

[vocal sleet]

Channel closed

Closed by @hollow radish

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.

[solar forge]

Hi, i have this transfer function

$$
H(z) = \frac{1}{1-\frac{1}{2}z^{-1}}
$$

and this input

$$
x[k] = \delta[k]-\delta[k-1]
$$

which i z-transformed as

$$
X(z) =1-z^{-1}
$$

form which i wanted to obtaion the output $y[k]$ by multiplying in z-domain $H(z)X(z)$ and then doing inverse z-transform but this is the form that i got and I dont know how to transform it back

$$
Y(z) = \frac{1-z^{-1}}{1-\frac{1}{2}z^{-1}} = \frac{z-1}{z-\frac{1}{2}}
$$

so my question is if i did the z-transform of x[k] correctly and if so how to transform it back.

[twin meteor]

konxmok

[vocal sleet]

@solar forge Has your question been resolved?

[solar forge]

<@&286206848099549185>

[vocal sleet]

@solar forge Has your question been resolved?

[vocal sleet]

@solar forge Has your question been resolved?

[solar forge]

.close

[vocal sleet]

Channel closed

Closed by @solar forge

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.

[languid spruce]

there are n kids standing in a line. how many ways are there to divide them into 3 groups such that for every 2 kids i, j if they are in the same group then all the kids between them are in the same group

[white whale]

!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

[languid spruce]

3

the way i did was

lets say we have 2 borders

[white whale]

Also, if there are 4 students in line a, b, c, d, does a grouping like (a, b), c, d count differently to c, (a, b), d?

[languid spruce]

we can put them between the kids to divide them into 2 groups

[languid spruce]

no

they are counted as the same

[white whale]

Can a group have empty students?

[languid spruce]

groups can be empty yes

[brisk moss]

wait what why would those be counted as the same

[languid spruce]

what matters is who is in the group

[brisk moss]

oh oops i misread what xwtek said

didn't notice the orders switched up

[languid spruce]

lol yeah

[white whale]

So, what is your final answer?

[languid spruce]

im sure its wrong

but

(n choose 2) + 2

what i thought was

you could either put both of the borders between the kids

or only one of them

so thats the n choose 2

and that leaves 2 cases

when either all of the kids are in one group, or all the groups are empty

[white whale]

Well, you can't have all the groups empty.

Also, n chose 2 would mean you can place only one border each on two students.

[languid spruce]

why

well actually

that part isnt clear

the specific wording they used was

[divide] into 3 groups (which may be empty)

[white whale]

But if all the groups are empty, then no students are assigned to any groups.

You can have 1 empty groups, two empty groups, but not three empty groups.

[languid spruce]

right

so (n choose 2) + 1?

[white whale]

Still wrong.

This time, it's the (n choose 2) part

[languid spruce]

yeah but why

[white whale]

n choose k is for selection without replacement.

[languid spruce]

yeah thats what we want no?

[white whale]

Since, you can pick the two border at the same slot, you want a selection with replacement.

[languid spruce]

but we can't?

ohhh

[white whale]

Also, there's n-1 places between students, not n

[languid spruce]

yeah but i left a place outside of them

[white whale]

If you do that, you risk of double counting, though.
{a, b},{c,d},{}, and {a,b}.{},{c,d}, are the same answer, but your scheme counted both separately.

[languid spruce]

how

[white whale]

a b | | c d vs a b | c d |

[languid spruce]

but im choosing 2 places

so the 2 borders cant end up on the same place

[white whale]

But you said you can.

[languid spruce]

yeah but i meant with my solution

thats why i added an extra space outside

i did all that to avoid double counting

but the solution is wrong

[white whale]

Alright, your scheme is to put two borders in these slots, right?

a _ b _ c _ d _ e _ f _

And each slots has to be filled only once, right?

[languid spruce]

yes

[white whale]

Okay, that's also possible.

What is your teacher's answer?

[languid spruce]

there arent any answers

[white whale]

And you answered on that sheet (n choose 2) + 1?