help-33

[void pine]

Your reasoning seemed good so continue and i'll check then if you want

[gaunt lynx]

wait but

[gaunt lynx]

but what do i do with the 2t

[void pine]

Wdym

You can see t here as just a number

You don't need to solve for it

[gaunt lynx]

okay ill just do

what i think

[void pine]

👍

[gaunt lynx]

wait i dont have to differentiate between t and t^2?

[void pine]

You mean where you have sqrt(t²)?

[gaunt lynx]

yes

[void pine]

Well the only differente cases are if t is positive or negative

[gaunt lynx]

yes so if t>0

then what ?

[void pine]

What do you think sqrt(t²) is when t>0

[gaunt lynx]

its also above 0

[void pine]

Do you remeber the definition of the square root

[gaunt lynx]

yeah

[void pine]

Ok

The square root r of x is the only positive number such that r²=x

[gaunt lynx]

wait wdym

in the context

[void pine]

And numbers r such that r²=t² coukd only be t or -t

But keep in mind it has to be positive

So if t is positive, then it is t
If t is negative then it is -t

[void pine]

Replece x by t²

[gaunt lynx]

but if t is negative then

u cant pull the root

[void pine]

t² is always posotive

So you can always take its root

[gaunt lynx]

wait

so if i put in 2 for t just for example

[void pine]

Yeah

Let'sdo an exemple

[gaunt lynx]

wait

ur correct

i forgot to put the bracket

okay so t is always positive

[void pine]

To remember quickly sqrt(t²) is t but positive

[gaunt lynx]

okay so

if t>0 its positive

if t<0 its positive

whats the difference

[crystal lintel]

altmond help channel arc

[void pine]

The difference is that if t is negative, the positive version of t is -t, not t

[void pine]

Trying to understand on a small scale what itmeans to be a teacher lol

[gaunt lynx]

wait what

i dont understand

so if t<0 then t>0

what

bro

[void pine]

Do you agree that sqrt(t²) could either be t or -t?

I can give you exemples

[gaunt lynx]

No

you said sqrt of t ^2 is always positive

[void pine]

Sqrt means square root

[gaunt lynx]

OH

ur saying

[void pine]

these are 2 exemples

[gaunt lynx]

OH

u mean the x1,2

basically?

thats what u mean?

that u have a - and +

[void pine]

not really

im just talking about the value of $\sqrt{t^2}$

[elfin berry]

Altmond 💜

[gaunt lynx]

yes its t

[obtuse umbra]

$\abs{t}$

[elfin berry]

1 divided by 0 equals Infinity

[void pine]

$\text{if t is positive, then} \sqrt{t^2}=t \ \text{if t is negative, then} \sqrt{t^2}=-t$

[elfin berry]

Altmond 💜

[obtuse umbra]

if $t = 0$?

[elfin berry]

1 divided by 0 equals Infinity

[void pine]

yes, i just didn't know if you knoew what it means

oh what that's a diff person

[obtuse umbra]

oof

[gaunt lynx]

i dont get it sory

wait let me think

[obtuse umbra]

refer to this example

[gaunt lynx]

okay yeah but its both the same at the end

[obtuse umbra]

you need to understand that $t^2 = (-t)^2$

[elfin berry]

1 divided by 0 equals Infinity

[gaunt lynx]

yeah it is

i got it

[obtuse umbra]

and $\sqrt{\text{ }}$ is called the principal square root, meaning it will take the value that's non-negative

[void pine]

it's both the same, but their expression compared to the value you put in initially is not the same

[gaunt lynx]

hm okay

[elfin berry]

1 divided by 0 equals Infinity

[void pine]

if you replace -2 by t in the first line and 2 by t in the second line, you'll see the expression i gave you appear

[gaunt lynx]

okay hold up

so

yeah man whatever

[void pine]

[obtuse umbra]

🥀

[gaunt lynx]

if i plug in -2 for t^2

i get 2 as result

[obtuse umbra]

?

[gaunt lynx]

2t + 2

[obtuse umbra]

-# on god did i just help someone help OP understanding square roots on a calc question 😭

[void pine]

but here t is -2 and $\sqrt{(-2)^2} = 2 \neq -2 = t$

[elfin berry]

Altmond 💜

[gaunt lynx]

yo

fuck my math teacher

[obtuse umbra]

wut?

[gaunt lynx]

why does he give us stuff to do

we hve never done shti like this before

seriously fuck him

[void pine]

the only thing you have to remember is that and apply it

[gaunt lynx]

wait this is also ther

does this help

[obtuse umbra]

$t \in \mathbb R^+$

[void pine]

you knew you had to do a case disjunction from the getgo, o you had the right intuition

[elfin berry]

1 divided by 0 equals Infinity

[obtuse umbra]

that helps too

$t$ can't be negative tho

[elfin berry]

1 divided by 0 equals Infinity

[gaunt lynx]

yeah so

what the fuck brooooo

so what

[void pine]

if t is positive then you don't have to aks yourself questions

$\sqrt{t^2}=t$

[elfin berry]

Altmond 💜

[gaunt lynx]

so t >0

always

[void pine]

yeah

[gaunt lynx]

okay but how do i actualyl come to my x valeu now

[void pine]

it's written there

[gaunt lynx]

yeap

[void pine]

can you show me you're nex expression now

[gaunt lynx]

i dont have any

i just got the x1,;2 = ...

[void pine]

i mean your expressions for x1 and x2

[gaunt lynx]

wait am i dumb

h

yes so x1 is 3t

and x2 is 3t

no

wait

and x3 is t

NO
x

x2 is T

no

i mean

x2 is 1t

[void pine]

okay

[gaunt lynx]

OMG

right?

[void pine]

yes

[gaunt lynx]

holy yes

fuck yeah

okay

now i need the y values

so just plug this shit into the f(x)

right

[void pine]

mhm

[gaunt lynx]

wait

im stuck

[void pine]

you're doing good

do you remember how to simplify a sum of fractions?

[gaunt lynx]

no thats what i struggle with

[void pine]

you have to have the same bottom part for all of them

[graceful cave]

following

[void pine]

then you can add them together

[gaunt lynx]

ok wait

[gaunt lynx]

is this correct

hell yea

okay

then 3 t

omgg

im so fulfilled tysm

[void pine]

you still gotta find what kind of extrema this is

[gaunt lynx]

wait what did i do wrong here

[gaunt lynx]

bro ill open a new channel rq

.close

[marsh citrus]

Channel closed

Closed by @gaunt lynx

Use .reopen if this was a mistake.

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[mental lagoon]

I need some help, I am unsure what to do with the information I have gathered (calc 1) question is written in red

[main idol]

You're asked to find a time for a given speed. Do you know how velocity and speed are related?

[mental lagoon]

speed is the absolute value of velocity ,right? |v(t)|

[main idol]

Can you answer the question now

[mental lagoon]

I think so

does this look right?

[twin viper]

remember, t is for time (in seconds) so you can't substitute a number for speed into that equation

try setting v(t)=24 and solving for t

i think your diffrentiation is wrong on the first term

[main idol]

ryz gave you the correct equation representing this first sentence

[graceful cave]

following

[mental lagoon]

oh would the 1 cancel out due to the 0?

[graceful cave]

believe i see solution, will follow

[graceful cave]

recheck differentiation on 96t

[mental lagoon]

thank you fox I didn't think about the 96 like that 😅

[graceful cave]

perfect

[mental lagoon]

32*

[graceful cave]

wait

[graceful cave]

yes

[mental lagoon]

uhh ignore that

this is what I got now

[graceful cave]

looks right

[main idol]

,calc 96 - 32 * 2.25

[elfin berry]

Result:

24

[mental lagoon]

great thx

[graceful cave]

if done, can use . close with no space

[mental lagoon]

.close

[marsh citrus]

Channel closed

Closed by @mental lagoon

Use .reopen if this was a mistake.

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[regal coral]

any idea how to show this?

[regal coral]

do i need to use the digamma function then?

[stoic ibex]

Probably use Stirling's approximation

Because you get elementary functions

[regal coral]

yeah this looks promising

[stoic ibex]

But you only need that part since that part is asymptotic to the gamma function, so the other terms vanish in the limit

[regal coral]

it worked, thanks

.solved

[marsh citrus]

Channel closed

Closed by @regal coral

Use .reopen if this was a mistake.

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[gaunt lynx]

yo can someone help me here im tryna figure out the zeropoints

[gaunt lynx]

also a>0

this doesnt make sense

theres no way im wrong in this

<@&286206848099549185> sorry i dont like to ping but i need help

[narrow geode]

It’s been longer than 15 minutes, you are fine

[whole sleet]

They can't be solved algebraically

[gaunt lynx]

huh

why did my teacher give me this as a homework

this doenst make sense at all

there must be some way

[whole sleet]

What's the original question?

[gaunt lynx]

wait omg

its determine the extremepoints

not zeropoints

but still

wouldnt the derivative just be

a-e^-x

[whole sleet]

Yes

We want the extreme points, so we set that to 0

[gaunt lynx]

but then a = 0

because e cant go to 0

[whole sleet]

You're thinking of factoring. If it were:
0 = ae^(-x)

Then you could just eliminate the e^(-x)

[gaunt lynx]

huh

ohhh

[whole sleet]

Like,
0 = 1 - 1

Can I just get rid of that 1?

[gaunt lynx]

no

so we cant do that because its + e

not * e?

[whole sleet]

yeye

In this case, we can just rearrange for x

[gaunt lynx]

damn

so

ive never dealt with this before

hmm

oh

wait

so -a= -e^-x

then -ln(-a) = x?

[whole sleet]

Be careful after this step. If you do take the ln here, you get:
ln(-a) = ln(-e^(-x))

Dealing with the - beside e^(-x) is awkward.

So instead, we're gonna get the negatives off first, before applying ln to both sides

[gaunt lynx]

oh so then we have ln(a) = ln(e^-x)

yea but now what

wait so ln(e^-x) is -x?

[marsh citrus]

@gaunt lynx Has your question been resolved?

[whole sleet]

Yeah exactly

[marsh citrus]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[thorn oasis]

how do you solve the integral of a function like this?

[crystal lintel]

change pfp pls

[thorn oasis]

oh my golly goodness

[main idol]

,rcw

[main idol]

Find the area of the rectangles and triangles

[thorn oasis]

thats it?

[main idol]

The areas underneath the x axis count as negative

Yes integrals of straight lines are some of the simplest

[thorn oasis]

okie dokie thank you!

.close

[marsh citrus]

Channel closed

Closed by @thorn oasis

Use .reopen if this was a mistake.

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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 fox]

root2+48/2 + 4+root6/4 whole divided by 9

[orchid fox]

help

[waxen dust]

!status

[marsh citrus]

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

[exotic valley]

might be helpful if you have a pic as well!

[dire basalt]

I can’t understand

May you latex or send an image pls

[waxen dust]

$\frac{\frac{\sqrt{2} + 48}{2} + \frac{4 + \sqrt{6}}{4}}{9}$

[elfin berry]

USS-Enterprise

[waxen dust]

This?

[orchid fox]

srry but i dont have a mobile

[orchid fox]

yup

sir

[waxen dust]

There's your image

[dire basalt]

What is there to simplify in this

[zenith cedar]

oh my god bro

[covert scarab]

Try getting thins to common bases

[zenith cedar]

ur a undergraduate??

[dire basalt]

Lotta liars nowadays

[orchid fox]

am class 6

[dire basalt]

That means you’re under 13 brotha

[exotic valley]

how old are you, just curious?

[orchid fox]

no 14

[waxen dust]

¯_(ツ)_/¯

Why don't we focus on the problem at hand

[dire basalt]

Dayum you must be a genius doing UG at 14

[zenith cedar]

so indian

[orchid fox]

nvm find the ans

[zenith cedar]

omg guys

[orchid fox]

me?

[zenith cedar]

im a one woman army

[zenith cedar]

yh i can fell

tell*

[exotic valley]

right so, what progress have you made?

[orchid fox]

well yea

but i dont know hindhi

[dire basalt]

Bro get to the point

[zenith cedar]

gng no one fails till the 8th gradr

[dire basalt]

What help do you need

[zenith cedar]

unlrss ur rlly stupid

[orchid fox]

srry

.close

[marsh citrus]

Channel closed

Closed by @orchid fox

Use .reopen if this was a mistake.

[dire basalt]

What just happened bru

[exotic valley]

ok so <@&268886789983436800> this isn't helping to move the conversation forward and it's bloody condescending

[exotic valley]

and are you still interested in the problem or?

[dire basalt]

Blud closed it

[exotic valley]

I can see it. but if OP closed merely as a knee-jerk reaction to the other user then he might actually want to continue

[lavish pelican]

but how is 6th grade 14 yrs old is my question

[minor kindle]

please dont be elitist. if you cant participate without being condescending, you dont need to be trying to help anyone.

[obtuse umbra]

please don't be rude to other people as i already reminded you before

[exotic valley]

oh well

.reopen

[waxen dust]

You are like 900 years old, what do you care 🙂

[marsh citrus]

✅ Original question: #help-33 message

[exotic valley]

@orchid fox continue here

[obtuse umbra]

he opened a new channel

🥀

oh it was closed

[exotic valley]

I saw you trying to open a channel with the latexed message

[lavish pelican]

:(

[obtuse umbra]

try to simplify the numerator first

[exotic valley]

again OP, what progress have you made?

[serene bramble]

@orchid fox You want to try and combine the numerator's fractions by putting them under a common denominator — can you see how to do that?

[orchid fox]

no and didnt i closed?

.close

[marsh citrus]

Channel closed

Closed by @orchid fox

Use .reopen if this was a mistake.

[exotic valley]

I reopened it because you were porting the same question over to another channel

[orchid fox]

but i dont want answers from u all pls close this channel

i request

[exotic valley]

you've closed it already, and sure

if you say so then none of us will reopen it

have a great day

[waxen dust]

Oh

So the bad guys was meant for all of us

[obtuse umbra]

why tho?

because of one person?

[waxen dust]

Absolutely zero idea

[obtuse umbra]

should i apply for the mods ngl

[dire basalt]

ong I’m so confused rn

[waxen dust]

Well that's your choice to make

[obtuse umbra]

should i?

[waxen dust]

If you think you'd do good, then yes

[odd agate]

!redir?

[marsh citrus]

This channel is only for on-topic discussion. Please take casual conversation to #discussion or #chill.

[waxen dust]

I am not active enough here to opinionate

[odd agate]

that justifies using it as a discussion channel, how exactly...?

[obtuse umbra]

my bad

im sorry

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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 eagle]

Sorry, like this

[marsh citrus]

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.

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[clever sandal]

Use the second derivative test
to identify any critical points and determine whether each
critical point is a maximum, minimum, saddle point, or
none of these.

[pearl haven]

!show

[marsh citrus]

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

[clever sandal]

im getting f_x = 2y(e^...) (1-2x^2)

now im kinda confused abt finding the critical pts here

cuz f_x will be zero for all points (x,y) where x = 1/root2

thats a lot of points

so im stuck

[pearl haven]

Did you find f_y?

@clever sandal

[clever sandal]

yes it is f_y = 2x(e^...) (1-2y^2)

[pearl haven]

You have to check at points where both f_x and f_y are zero

[brave marsh]

For the point to be critical you need both f_x and f_y to be 0.

That will narrow it down.

[clever sandal]

oh i see

alr guys so i am getting these three cnditions from setting f_x = 0:

x = 1/root2
x = -1/root2
y = 0

now how do i proceed?

[brave marsh]

Well now you set f_y = 0

Check those conditions and see in which cases you get BOTH = 0

[clever sandal]

but setting f_y=0 i get:
y= 1/root2
y = -1/root2
x = 0

im js gettin a bunch of values

what do i do now

[brave marsh]

You have to consider which pairs work.
Say for f_x to be 0

If x = 1/sqrt(2), we know f_x = 0.

We want f_y = 0 as well.
Clearly x != 0. So the only way f_y = 0 in this case is if y=1/sqrt(2) or y=-1/sqrt(2)

That gives you 2 critical points.

Then you try the other conditions for f_x = 0

[clever sandal]

I have made some candidate points to check

alr so i checked them, and i get these final critical pts:
(0,0)
(+-1/root2, +-1/root2)

[brave marsh]

Okok

Yes

[clever sandal]

so i have4

critical pts

[brave marsh]

5

[clever sandal]

yeah 5

now i gotta check all

fokn hell

@brave marsh now the next step to do is hessian matrix right?

[brave marsh]

Yes you need to classify them

[clever sandal]

i use the 2nd derivative test

dis

[brave marsh]

Yeah that's what the Hessian does

Classify

[clever sandal]

alr 1st i gotta find fxx

fyy

im in for a long ride

,rotate

[clever sandal]

alr ty

two were minima two were maxima one was saddle pt

.close

[marsh citrus]

Channel closed

Closed by @clever sandal

Use .reopen if this was a mistake.

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[robust rampart]

<@&286206848099549185>

[sinful thistle]

!15m

[marsh citrus]

Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.

[umbral quiver]

!nochatgpt

!no

!chatgpt

[formal cypress]

Hallo

[obtuse umbra]

!noai

[marsh citrus]

Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).

[night harbor]

!show

[marsh citrus]

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

[obtuse umbra]

it's that

[night harbor]

!status

[marsh citrus]

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

@robust rampart Has your question been resolved?

[brave spire]

@robust rampart

where r u stuck

[robust rampart]

so i got the factors as x-1(ax^2+ax+(a+1))

then alpha+beta=-1

[brave spire]

nice

do u know lhoptial

[robust rampart]

alphabeta=1+1/a

[robust rampart]

Ye

[brave spire]

nice try simplify this now

[robust rampart]

N then i js dk what to do

[brave spire]

well its a limit and ur numerator is a polynomial

maybe try factorise it

[robust rampart]

Oh wait

1 is a factor if the numerator

[brave spire]

yep

[robust rampart]

so

Nr is x-1[(1+a)x^2+ax+a)

denominator also has x-1

as a factor

so u cancel

[brave spire]

nice

[robust rampart]

then u get

[brave spire]

now can u apply lopital? are the conditions met?

[robust rampart]

u get this on substitutng 1/alpha

[brave spire]

yep now use those relations u wrote above

[robust rampart]

Idts lhspital cuz not 0/0 or infinite/inf

[brave spire]

to put it into the form required

[brave spire]

its 0/0 wdym

e^1-alphax -1 = 0

and numerator is also 0

[robust rampart]

Yea mb

i alr applied it in the ss

[brave spire]

yeah nice ur close

[robust rampart]

Yea okk

thanks

[brave spire]

final step just get it in that form

[brave spire]

np

[robust rampart]

.close

[marsh citrus]

Channel closed

Closed by @robust rampart

Use .reopen if this was a mistake.

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[solid crest]

I need help with the task below.

[solid crest]

Find all values for $b > 0$ so that $\int_{0}^{b}\sin(\pi x) dx = 0.$ Comment.

Thanks in advance!

[jagged relic]

Is that sin(pi x) dx?

[solid crest]

Yesss

[knotty trellis]

Have you sketched the graph of that?

[solid crest]

(I am not sure what i need to write so that there are space between pi*x and dx)

[solid crest]

Noo

I havent

[jagged relic]

Just use parentheses...

[knotty trellis]

Try doing it then, just a rough sketch should do (just mark the zero points)

[solid crest]

Ohhh you are right

Oh..

[elfin berry]

dream

[solid crest]

Like this?

[knotty trellis]

Yep, now what does integral mean?

in terms of area under the curve

[solid crest]

Well the integral of a function would give us the area under the graph

Of the function

[knotty trellis]

more specifically, the signed area

[solid crest]

And if the integral is zero, then the area is zero

[solid crest]

Well the area is zero there

[knotty trellis]

because the area under x-axis is counted negatively

[turbid mica]

the mountains and valleys cancel out when x = ?

[solid crest]

Ohh

When x = -1 and x = 1

Is that correct?

[knotty trellis]

blue gets counted in +, red -

[turbid mica]

uh well can you generalise it

[solid crest]

Ohh i meant when y = 1 and y = -1

[turbid mica]

also no its not -1/1

[solid crest]

But wait i think i know for x

Wait

Let mee think

[turbid mica]

let k be any integer then what can x be

[solid crest]

When b = 2x the integral would be zero?

[knotty trellis]

whats x

[solid crest]

Lets say f(x) = sin pi*x

$\int_{0}^{2}f(x) dx = 0$

[elfin berry]

dream

[solid crest]

Right?

And

[knotty trellis]

Okay, yeah, that is true

[solid crest]

Wait

[turbid mica]

generalise the answer

[knotty trellis]

i think your idea is right, but you phrased it quite poorly

[knotty trellis]

You probably want x to be a natural number here

[solid crest]

$\int_{0}^{4}f(x) dx = 0$ as well

[turbid mica]

what about 4,6,8

ok

[elfin berry]

dream

[solid crest]

So b needs to be 2x

Right?

[knotty trellis]

Where x is a natural number

[solid crest]

Yesss

[solid crest]

Yes

[knotty trellis]

and i'd replace that x with n or k, that's a bit more conventional for naturals

[solid crest]

Oh okai

[solid crest]

Well this helped a loot

Thanks for the help

So b = 2k where k is an element of the natural elements

[turbid mica]

can't it include negatives

[solid crest]

Ohh you are right

[jagged relic]

b > 0

[solid crest]

Ohh

Yes i forgot

[turbid mica]

ok

[solid crest]

Thats why k is an element of the natural numbers

[jagged relic]

I'd say the positive integers instead

I consider 0 a natural

[solid crest]

Oh okai

[marsh citrus]

@solid crest Has your question been resolved?

[static quarry]

this guy naturals

[marsh citrus]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[whole sundial]

Quick question, but my answer was correct, no?

[elfin berry]

Failed to get a response from Wolfram Alpha.
If the problem persists, please contact support.

Feb 23, 2026, 9:32 PM

[main idol]

no

[turbid mica]

how did you get your answer

[cunning fiber]

Notice how the composition is not x.

[whole sundial]

i did 2/5 / 4 instead of 2/5 * 4

thats sad

alr ty guys lmao ^^

.close

[marsh citrus]

Channel closed

Closed by @whole sundial

Use .reopen if this was a mistake.

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[spark otter]

!status

[marsh citrus]

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

[crystal lintel]

love your pfp

[short arch]

thank you !!!

[short arch]

1

i dont remember ever learning about writing this stuff as a “product of three matrices” or whatever so i havent tried the question at all. ive tried looking online for solutions or a formula or whatever and i couldnt find anything

[spark otter]

have you ever seen diagonalization of a matrix

[short arch]

uhh yesss i think so

icl the labels or names of stuff throws me off

is that the one with D = (eigenvalue 1 0 0 eigenvalue 2) ?

[spark otter]

that's in 2 dimensions

but yes

[short arch]

yes yes

but w 3 itd just be

[spark otter]

You try to say that A is similar to D

[short arch]

the same but with a 3rd i assume ?

[spark otter]

So yes, you try to show A is similar to a diagonal matrix (A is diagonalizable)

but A is not necessarily equal to a diagonal matrix

what will A look like?

[short arch]

i have not a clue i dont think im understanding 😓

wait do you want to see my workings / attempts

i did TRY it but its all a whole load of hooberdash im ngl

[spark otter]

Imagine A has eigenvalues r1 and r2

and $D = \begin{pmatrix} r_1 &0\ 0 &r_2\end{pmatrix}$

[elfin berry]

Rafilouyear2026

[spark otter]

And say I even had the eigenvectors associated to A

how can I write A in terms of D?

[shadow cedar]

Is this only uni and highschool?

[short arch]

im ngl i think i lack the like fundamental knowledge for this 😓😓😓 but uhm

well isnt there that other matrix you can write using eigenvectors and the corresponding eigenvalues and stuff ?

how do i write / explain what im talking about

i dont know if thats relevant st all

[spark otter]

Yes, there is one of those matrices involved

Say P is the "basis of eigenvectors" matrix

[short arch]

ohh yes P !

[spark otter]

so first column is the eigenvector of A linked to r1

[short arch]

yes yes yes thats whatimeant

[spark otter]

second column is the eigenvector linked to r2

and so on if there are more dimensions

[short arch]

mhm

[spark otter]

What's the link between A, D and P?

What is the equality that links them

[short arch]

uhh i think my teacher said theres a formula thing

aaah hold on

i didnt understand WHY it was what it was, it felt more like i was just meant to memorise it

is it like A = PDP^-1 ?

[spark otter]

it's exactly that

[short arch]

nooo wayyy

[spark otter]

I can take some time to explain it if you want

[short arch]

yes please !

thank you so much

[spark otter]

Ok, so first thing you need to understand is that diagonal matrices, and more generally diagonalizable matrices, scale vectors

so take for example $A = \begin{pmatrix} 2 &0\ 0 &3\end{pmatrix}$

[elfin berry]

Rafilouyear2026

[spark otter]

what A does for any vector (x,y)

is that it splits it into (x,0) + (0,y)

it looks at the first vector, and scales it by 2

it looks at the second vector, scales it by 3

[short arch]

mhm

[spark otter]

you get (2x,0) + (0,3y) = (2x,3y) = A(x,y)

[short arch]

mhm right

[spark otter]

so that's what diagonalizable matrices do, they split according to some basis (called eigenbasis), and scales each component by some factor (called eigenvalue)

[spark otter]

Second big idea, is that this matrix P

allows you to change the referential basis

let me explain, say you have P = (v1, v2) with v1 and v2 written in column

now, how can I write the vector "three times v1 minus one time v2"

well I could for once just write it as "3v1 - v2"

but I could also say that, in the basis (v1 , v2)

it's the vector with first (v1) coordinate = 3 and second (v2) coordinate = -1

so, in the basis {v1,v2}, the vector is written as (3, -1)

so the vector in the usual basis is P(3,-1)

[short arch]

sorry what do you mean by the usual basis ? 😓

[spark otter]

the canonical basis (1,0), (0,1)

(in two dimensions)

[short arch]

oh

wait

ohh

[spark otter]

So what we did more generally is input some "coordinates"

apply the matrix P

and it outputs the vector with those coordinates in basis {v1,v2}

[short arch]

i think im following

[spark otter]

And vice versa

since P^-1 is the inverse of P

if you INPUT a vector and apply P^-1

it outputs the coordinates it has in basis {v1,v2}

what P does : coordinates -> vector
what P^-1 does : vector -> coordinates

so, if A has eigenvectors v1, v2 with eigenvalues r1, r2

how to compute the image of any vector (x,y):

• Write the vector in coordinates in the basis v1, v2 : P^-1 (x,y)
• Scale each coordinate accordingly : DP^-1 (x,y)
• From the coordinates in basis v1, v2 extract back the image vector : PDP^-1 (x,y) = A(x,y)

[short arch]

sorry just give me a sec whilst i try to wrap my head around this

wait okay i lowkey just googled a few things cuz im finding everything a bit hard to understand

with P and P^-1

this might have to do with like the rules of associativity or whatever, but are they meant to cancel eachother out or does it not work because the D is between them

[spark otter]

Multiplication is not commutative for matrices

[short arch]

oh the word is commutative not associative whoopsie

[spark otter]

associativity means (AB)C = A(BC) so you can just write ABC

commutativity means AB = BA, not true in general for matrices

so you can't pretend the D is somewhere else, if it's in the middle then P and P^-1 can't cancel each other

[short arch]

oh i see i see

[short arch]

oh right LOL

aah i think im still finding it hard to understand :(

[spark otter]

Tell me if some parts are harder than others

[short arch]

maybe ill go watch up on a video about eigenvalues and vectors and all the rest of it later 😓

[spark otter]

I can try to go more into detail

or more intuitively depending on what's needed

[short arch]

ik its really annoying when you ask “what do you need help with” and people say “everything” but i dont think ive grasped all that much 😓😓

im really trying to

[spark otter]

Otherwise, very good video https://www.youtube.com/watch?v=PFDu9oVAE-g

[short arch]

omgg 3b1b !!!

will watch later hopefully

so wait what does this all have to do with my original question ?

[spark otter]

well

[spark otter]

you have the eigenvectors (P) and the corresponding eigenvalues (D)

so A = ?

[short arch]

oh

am i using the formula i stated earliee again ?

like that…?

[spark otter]

exactly like that

[short arch]

does it matter which i multiply with which first ?

cuz i swear i got told like

its like when you have fgh(x)

[spark otter]

.

[short arch]

oh

wait so it DOESNT matter…

[spark otter]

yes, you can start computing PD or DP^-1 first, it doesn't matter

matrix multiplication is associative

[short arch]

ah okay okay

okay okay thank you so much !

ill go back over what you wrote another time but thank you again !

.close

[marsh citrus]

Channel closed

Closed by @short arch

Use .reopen if this was a mistake.

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[shadow harbor]

can someone explain why when I take the arcsin(rad2/2) its pi/4 and not negative pi/4 ?

[shadow harbor]

wait

nevermind

its cause its in the first quadrant

I was thinking of if it was arcsin(-rad2/2)

if it was arcsin(-rad2/2) then it would be -pi/4

.close

[marsh citrus]

Channel closed

Closed by @shadow harbor

Use .reopen if this was a mistake.

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[limber crow]

Help brp

[marsh citrus]

@limber crow Has your question been resolved?

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[sonic owl]

"ABCDEF is a regular hexagon, and ABKL is a square. Find the measure of the angle FMD."

[sonic owl]

hi there.

[crude vine]

What have you tried

[marsh citrus]

@sonic owl Has your question been resolved?

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[steel current]

How does this show reflection😢

[marsh citrus]

@steel current Has your question been resolved?

[devout goblet]

I think this is a bad question in general

Cuz u can achieve the transformation with just a translation

[steel current]

I have a test tmr with this

Right?

[devout goblet]

Or u can reflect it accepts the y axis and translate it up

[steel current]

So how is it reflection?

[devout goblet]

It can be if that’s how u do the transformation

Reflect across the y axis

Then translate

But it doesn’t have to be

Which is why the question is bad

[steel current]

so....

[devout goblet]

Doesn’t that answer the question?

[final steppe]

well you do know what reflection and translation are right?

[marsh citrus]

@steel current Has your question been resolved?

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[exotic rampart]

hi guys

sry to bother again

but uh

please help 😭 🙏

[lethal kite]

note that 0.5<1, so what can we ay about (0.5)^n as n gets really large?

[exotic rampart]

it gets smaller

[lethal kite]

yes

so when n gets to infinity, what is (0.5)^n

[exotic rampart]

close to 0

[lethal kite]

yes

[exotic rampart]

ohh so its 2

[lethal kite]

perfect

[exotic rampart]

broo ur so smart

may i kindly ask another one

[lethal kite]

ok

sure

[wary kite]

try writing it in exponent form

[exotic rampart]

okay so first we find the limit of inside form i believe?

okay

(3^7+3n)^1/n

sry i dont know how to use bot

[wary kite]

where is n/2 coming from?

[exotic rampart]

oh wait

not sure

[wary kite]

lol

[exotic rampart]

there

[wary kite]

there you go

now distribute the 1/n

[exotic rampart]

okay

how

wait

i think ik

it would be the exponents multiplied

[lethal kite]

yes

which would be...

[exotic rampart]

3^(7/n+3

[lethal kite]

good

so what can we say about 7/n+3 as n gets infintely large

[exotic rampart]

it approaches 3

[lethal kite]

yes

[exotic rampart]

okay so it would be 3^3

which is 27

[lethal kite]

yes

perfect

[exotic rampart]

ohhh

alright tysm bro i appreciate it

[lethal kite]

np

[exotic rampart]

lemme close this

.close

[marsh citrus]

Channel closed

Closed by @exotic rampart

Use .reopen if this was a mistake.

[sonic owl]

lots of things, i 've found the answer as 60°, but it' s wrong.

@marsh citrus

[final steppe]

this is still an occupied channel

please go to an available one

|| What is FAL? How are AFL and FLA related? Figure out EFM. Now the solution should be clear.||

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[steep blade]

hey im trying to draw isoclines with direction markers and solution curves for dy/dx = -x/y and Im really lost. I was thinking it would be a bunch of left/right half circles since if c=0 x/c would be undefined but thats not it. Im being told its top bottom half circles but that doesnt make sense to me

[marsh citrus]

@steep blade Has your question been resolved?

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[merry mulch]

I haven't been able to figure out how to use this hint to show whether the summation is convergent or not - I also tried bounding above by 1/x^2, which should work for large enough n, but the algebra has been a complete mess so I don't think I can go that route

[kindred locust]

x^x grows faster than x! and a^x

[vagrant raft]

can you use stirling's approximation?

[merry mulch]

I have never heard of that, so I don't think I can use it in a proof for this course

[merry mulch]

yeah but from the graphs, when that divisor of x^x is e or larger, the series converges to 0

[vernal forge]

have you tried ratio test / root test?

[vernal forge]

it's great to know and would make this problem really easy but we can solve it without

[vernal forge]

root test is the way to go here

[vagrant raft]

isn't it the ratio test?

[merry mulch]

I'm assuming the nth root of a factorial as n goes to infinity blows out to infinity?

[vagrant raft]

stirling's approximation says $n! \sim \sqrt{2 \pi n} \left(\frac{n}{e}\right)^n$ as n goes to infinity

[elfin berry]

bloubbloub

[vernal forge]

or yes sorry

of course

[merry mulch]

wow that makes it super easy. Ok the problem was that every other homework problem on this has been too complex to use the simple tests, so I was way overthinking this one

[vernal forge]

well, note that just (n!)^(1/n) -> infinity isn't enough

[vernal forge]

importantly, your sum converges but if 3 was replaced by a 2 it would diverge

[merry mulch]

it needs to be e or larger

[vernal forge]

indeed

[merry mulch]

I know 1/n! -> e

or the summation I mean

[vernal forge]

hmm sure yeah

you should probably use the hint they gave you

[merry mulch]

I will take some time to reformat and come back if needed

[vernal forge]

this isn't an easy problem but it's certainly doable

[merry mulch]

Ok I’m stuck now

Also forgot to start writing limit notation

oh wait

this is a limit

all these other (a/n)^1/n would just go to zero I think

or no, they should all go to 1

yeah that's it

[vagrant raft]

I believe the ratio test is easier here

[merry mulch]

I mean... I've already done the root test and am typing up the proof now

[merry mulch]

thanks for your help!

.close

[marsh citrus]

Channel closed

Closed by @merry mulch

Use .reopen if this was a mistake.

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[scarlet ingot]

am i doing something wrong in this optimization problem? i can see that x=y=0 certainly isnt the solution but there aren't other solutions?

[marsh citrus]

Please don't occupy multiple help channels.

[scarlet ingot]

R>2 btw

[marsh citrus]

@scarlet ingot Has your question been resolved?

[brave marsh]

You have to work out the different cases.
For one, you can’t have x=y=0 simultaneously as then the point isn’t on the constraint.

You can fix, say, x=0. Then use your constraint to find y and check that the y-derivative vanishes there.

Then check what happens when the second factor is 0. (Spoiler alert : it forces y=0 and you can work with that)

[scarlet ingot]

not sure why i was thinking that the cases (x=0 and y=0) or (2R^2+4+lambda=0 and 2R^2-4+lambda=0) as completely sepreate

yeah that makes sense now

thanks <3

.close

[marsh citrus]

Channel closed

Closed by @scarlet ingot

Use .reopen if this was a mistake.

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[cobalt hawk]

Hello i need help doing this problem.

calculate the surface area of ​​a regular four-sided prism if D=42 and the side diagonal d=30

[quaint elm]

what is D?

[marsh citrus]

@cobalt hawk Has your question been resolved?

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[lavish pelican]

i got eqn ar^3 = 4

and a+ar^2+ar^4 = 813/7

putting a in equation 2,

4(1+r^2+r^4) = 813r^3/7

now how do i solve this?

[hot rivet]

First see what they have asked from you

[lavish pelican]

ar^2(1+r^2+r^4)

[hot rivet]

ar^2 = 4 no?

[obtuse umbra]

it's a 4th degree right?

[lavish pelican]

oh bruhh yeah my bad

got it now

thanks

.close

[obtuse umbra]

aight

[marsh citrus]

Channel closed

Closed by @lavish pelican

Use .reopen if this was a mistake.

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[fresh vortex]

so i put the cordinates into a graphing calculator

[fresh vortex]

and this is what i got

[obtuse umbra]

this should be your triangle

[obtuse umbra]

so can you find BC according to the pythagorean theorem?

[fresh vortex]

A2 + B2 = C2?

[main idol]

missing ^

[obtuse umbra]

yeah don't worry

[lapis hearth]

damn just use polygon() bro 💔

[obtuse umbra]

can you see the right triangle that i made here?

[obtuse umbra]

🥀

[obtuse umbra]

the 2 legs are the distance between the x coordinates and the y coordinates

[fresh vortex]

yes

[lapis hearth]

the question asks for the points after dilation around the origin

[obtuse umbra]

so we work out the size of the original triangle first, and then scale it by 1/2

[lapis hearth]

yeah

[fresh vortex]

how do i work out the original size?

[obtuse umbra]

pythagorean theorem

[fresh vortex]

so do i add the x's or the y's?

[obtuse umbra]

how would you calculate the lengths of these legs

[fresh vortex]

Pythagorean theorem

[obtuse umbra]

the legs

not the hypotenuse

the 2 sides that are perpendicular to each other

[fresh vortex]

multiply?

@obtuse umbra

you there?

.close

[marsh citrus]

Channel closed

Closed by @fresh vortex

Use .reopen if this was a mistake.

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[elfin badger]

can someone help me with my anser as it seems incorrect

[elfin badger]

these are the values in the table

the answer is 0.1797

[solar crown]

Oh is the table you have is Z>z value

[marsh citrus]

@elfin badger Has your question been resolved?

[marsh citrus]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[short arch]

its 3b i need help on. i dont even really know where to start. would also just like to clarify, this is an assignment but we ARE allowed help on these. i just dont want to message my teachers so late 😓

OOH WAIT

wait no

im gonna drop my line of thinking and lmk if im onto something or not

ignore that im being an idiot

[marsh citrus]

@short arch Has your question been resolved?

[pastel leaf]

you could maybe think of it as out of 5000 people, at least 2 need to have the antigen

but idk im not sure either

[short arch]

yeah i changed my workings to that

im not sure i did X~B(5000, 1/4000) and then found where P(X=2) and just said p<ans but i have no clue

[pastel leaf]

i have no clue either lol 😔 im terrible at probability

[short arch]

all good :p

[marsh citrus]

@short arch Has your question been resolved?

[short arch]

.close

[marsh citrus]

Channel closed

Closed by @short arch

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[sturdy python]

detemine the mesure of the angle in radiant

[sturdy python]

740 degrees

740/360 = 2,05 rad?

.close

[marsh citrus]

Channel closed

Closed by @sturdy python

Use .reopen if this was a mistake.

[jagged relic]

No...

[mellow kraken]

740 deg = 20 degrees = 20pi/180 radians = pi/9 radians

[marsh citrus]

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.
• Do not immediately ping people or roles. After 15 minutes, feel free to ping <@&286206848099549185> once.
• 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.

[boreal zenith]

for the 1st one I got not atleast x for all y not(if Ox then Ey)

[jagged relic]

"atleast" is not a thing

[boreal zenith]

its a backwards e

[jagged relic]

It means "there exists"

[boreal zenith]

Alright thanks

but do you think i did that right? or do i need to fix it

[jagged relic]

No, it's not correct

First of all why use an implication

[boreal zenith]

im not sure I thought that was the goal

[jagged relic]

The goal is to have an expression where negation symbols only appear directly before predicates

[boreal zenith]

the predicates would be the thigns inside the parentheses or all the variables in the equasion?

[jagged relic]

O(x) and E(y) are predicates

[boreal zenith]

alright

i did that then right?

[jagged relic]

Technically (not O(x) or E(y)) is also a predicate but in this context they mean the most simple ones

[jagged relic]

No, you have a negation before a quantifier and one before a parenthesis

[boreal zenith]

so it has to be infront of everything?

[jagged relic]

No, the expression must still be equivalent

There is only one answer (without using other operators like implications)

[boreal zenith]

im confused? by using other operators what do you mean?

[jagged relic]

"or", "and", "not", "xor", "implies", ...

These are operators