help-0

[woeful wind]

awesome thank you

.close

[lone heart]

Channel closed

Closed by @woeful wind

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 siren]

I need help with pedal equation

[humble siren]

.close

[lone heart]

Channel closed

Closed by @humble siren

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.

[agile monolith]

(x – 9) (3x +4) + (9−x) (7−2x) incase we factorize what is the comon factor here ?

[quasi vector]

notice (9-x) = -(x-9)

[agile monolith]

yes i know but what other comon factor

only x-9?

[quasi vector]

yes

why do you need more than one common factor

[agile monolith]

make sure if it is 100% correct

.close

[lone heart]

Channel closed

Closed by @agile monolith

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.

[warped topaz]

https://i.gyazo.com/b2e7790512ed0e830a0709300e68ad48.png

[warped topaz]

Im trying to solve this via completing the square

But idk if im doing it correct

[viscid pawn]

you can do 2 things

first would be to factorize it with b because it's in common with every part

[warped topaz]

I tried to do it by completing the square, this is what I did;

I changed it to b (b^2 + b + 1/4), then the bit inside the brackets I got b = 0 and b = -1, but up until now ive kinda been ignoring the b that was outside the brackets, so I dont really know what to do with it

[vale wigeon]

what

[viscid pawn]

you can keep it that way

[vale wigeon]

the bit inside the brackets i got b=0 and b=-1

[viscid pawn]

just use quadratic formula on the expression with b as a factor

[vale wigeon]

what did you even do???

[viscid pawn]

quadratic probably

[vale wigeon]

let op speak

[warped topaz]

I completed the square

But just the bit inside the bracket

[vale wigeon]

it sounds like you either did something extra

or did something that decidedly wasn't completing the square

certainly nobody asked you to solve the equation b^2 + b + 1/4 = 0.25

[warped topaz]

Ah ye I see my mistake

I forgot to square + half the coefficient of b

I just halved it

But yeah my question still kinda stands, like is my method wrong

[vale wigeon]

it sounds like you have bigger planning errors going on.

without seeing your work i can't tell whether that is the case.

but i probably wouldn't want to see your work anyway.

you are right in setting out to complete the square on b^2 + b + 1/4

in so doing you should get (b + __)^2 + __ where the blanks are raw numbers

[warped topaz]

uuuh I got (b + __)^2 = __

Oh

stupid formatting

(b + X)^2 = Y

[warped topaz]

So ye same thing kinda

[vale wigeon]

b^2 + b + 1/4 = (b + 1/2)^2 actually

[warped topaz]

I got b = -3/4 and b = 1/4

for the bit inside the brackets

[warped topaz]

I got that cause of pascals triangle but im trying to do it another way just incase I dont spot something like that in an exam

But yeah still not sure what to do with the b outside of the brackets

[vale wigeon]

just leave it alone

[vale wigeon]

??????

[warped topaz]

its wrong?

[vale wigeon]

it's another planning error

you still think you are solving an equation

when you are not...

you're not supposed to get any values for b at all because you are not solving an equation for b

[warped topaz]

Thats the thing I dont really know what to do about the b outside the brackets

I got (b + 1/4)^2 = 1/4
b + 1/4 = +- 1/2
b = -3/4 and b = 1/4

At what point do I do something with the b outside the brackets

[lone heart]

@warped topaz Has your question been resolved?

[ionic sedge]

you talking about the last part?

[lone heart]

@warped topaz Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[ionic sedge]

can someone help me on this

[lone heart]

Please don't occupy multiple help channels.

[ionic sedge]

i dont know where to start

[lone heart]

@ionic sedge Has your question been resolved?

[ionic sedge]

<@&286206848099549185>

[ionic sedge]

@echo socket yo

[echo socket]

a) or b)?

[lone heart]

@ionic sedge Has your question been resolved?

[frank apex]

do you know what newton's method is
if not google it

[ionic sedge]

both, but a for now

@echo socket

[echo socket]

First of all label the point that's above x_0 and on the graph

[ionic sedge]

here

[echo socket]

You didn't do what I said though

[ionic sedge]

lol

[echo socket]

A bit to the right

Yup

Can you draw a line tangent to the graph at that point?

That’s not a tangent line

Good

x1 is located at the intersection of that line with the x-axis

So just write x1 there

[frank apex]

newton's method is to repeat that process with the new x value

[ionic sedge]

so plot a point there?

[echo socket]

They are asked to visualize only x1

[frank apex]

but it's helpful info anyway to know what newton's method is

[echo socket]

So this is it for the first рart

Alright

For the second one you just use the formula

[ionic sedge]

oh, is my last image all thats needed?

[echo socket]

Yes

[ionic sedge]

do I need to plot a point at x1 or just the label is fine

[echo socket]

x1 is equal to x0 - f(x0)/f’(x0)

[echo socket]

The label is fine

[ionic sedge]

is this a good explaination: newtons method involves drawing tangent lines to the curve of the function starting with x0, then you find the points where the tangent line intersects the x-axis, and use these points to get the next approximation (x1)

[echo socket]

Not really

[ionic sedge]

yea, it doesnt really say whats going on

[echo socket]

I would say Newton’s method involves finding approximating the zero of a function as the zero of the function’s linear approximation

[ionic sedge]

you mean finding the approximate of

[echo socket]

Approximate is a not noun, no ?

[ocean hawk]

it can be...

[echo socket]

The word approximation works nonetheless though, right?

[ionic sedge]

how should i word that so it says whats going on in the graph

[nocturne sail]

I need help with this. Trying to use excel to solve it.

[lone heart]

@ionic sedge Has your question been resolved?

[echo socket]

On the graph we are visualizing the zero of the linear approximation

[ionic sedge]

alright, now part b

[echo socket]

Just apply the formula

You have x0 = 2 and f(x) = x^2 - 3

[ionic sedge]

i got 1.75

[echo socket]

Ight, let's see

Yup, that's correct

[ionic sedge]

thanks

[ionic sedge]

i have a multi part question that I completed, but can you check if i did it right

[echo socket]

Show it

It does but hand-drawn graphs don't have to be 100% accurate

If it looks right then it's fine

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[ionic sedge]

.reopen

[lone heart]

✅

[ionic sedge]

here is my work:

[echo socket]

Looks good, all of it

[ionic sedge]

thanks for your help

.close

[lone heart]

Channel closed

Closed by @ionic sedge

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.

[ripe oriole]

I only got 1 question before I start this problem, k is element of what?

is this just A-R?

or is it different when the symbol is at an angle

[sage stag]

A without R, setminus

\ / - iirc are all the same

or wait

you know

this could be the quotient

usually the /R would be a subscript, but actually i think its the set of equivalence classes of A under R

it just depends if R is a set or a relation

[lone heart]

@ripe oriole Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[wispy salmon]

Hey guys need help how to solve this one

[wispy salmon]

This is what i got so far

[lone heart]

@wispy salmon Has your question been resolved?

[stuck sinew]

use squeeze theorem@wispy salmon

[stuck sinew]

@wispy salmonuse ful or not ☠️

[wispy salmon]

Man me and my friend sitting here and have no idea what u have done so sorry

[stuck sinew]

dm me

1 sec

so I can discord call

[wispy salmon]

Oh lovely

[wispy salmon]

.close

[lone heart]

Channel closed

Closed by @wispy salmon

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.

[bright coyote]

The answer is (a) apparently and I don't understand why wouldn't the answer be (d)

[sage stag]

because this is the principal root

[bright coyote]

what's a principal root

[sage stag]

if it said 4=x^2, then x=+/- 2
we would write x=+/- sqrt(4)

sqrt(4) on the other hand is always positive

so sqrt(4) is the principal root
and +/- sqrt(4) are the roots

[bright coyote]

SO in these type of problems I have to consider only the principal root as the answer

I'm guessing

[sage stag]

yeah

anytime you see sqrt actually

[bright coyote]

Okay thanks

[sage stag]

its always the principal root

[bright coyote]

ah understood

Thanks brother

.close

[lone heart]

Channel closed

Closed by @bright coyote

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.

[unique herald]

I need a little clarification on this problem
30=j^2+7j

I'm not sure what I've done, but I somehow ended up with this:
-7/2 plus or minus 26/2

[ocean hawk]

quadratic formula?

[alpine sable]

j²+7j=30
j²+7j-30=0
We have some formula that our fellow mathematician mentioned it above me

[unique herald]

for the problem, i'm using squares if that makes sense

[lone heart]

@unique herald Has your question been resolved?

[ocean hawk]

well show your work

[unique herald]

i know for sure there was some type of error i made, but it was how i was taught so i genuinely have no idea

[ocean hawk]

what is the square root of 169/4

[unique herald]

13/2

[ocean hawk]

yes, so where did the 2 go on the RHS (3rd from the last line)

[unique herald]

ahh makes sense, thank you

my brain processed it as division for some reason

[ocean hawk]

it probably would've been easier just using the quadratic formula, IMO

[unique herald]

true, we started with this for some reason tho

.closed

.close

[lone heart]

Channel closed

Closed by @unique herald

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.

[heady rune]

Could someone help me find how to write out the class equation for the direct product A4 x Z2?

[alpine sable]

hello is there anyone who knows about the Pytagora's theorem?

[heady rune]

I have found conjugacy classes for A4 and Z2 respectively, I know the direct product should add up to the order (24), but am stuck on how to construct the final class equation

I have that for A4: 12 = 1 + 3 + 4 + 4

[keen mason]

new channel buddy

[merry depot]

wouldn't those be the same cardinalities for conjugacy classes in A4xZ2? Since the conjugacy classes in Z2 are trivial?

and in the direct product of groups, all operations are done componentwise.
So you'd have 8 conjugacy classes for 3 cycles, 4 with 0 and 4 with 1

[lone heart]

@heady rune Has your question been resolved?

[heady rune]

Oh I see, much more simple than I was thinking lol. Would 24 = 2 + 3 + 4 + 4 + 3 + 4 + 4 be the correct class eq then?

[merry depot]

That's what it seems like to me

[heady rune]

Perfect yeah, don't know why I couldn't wrap my head around the direct product being so simple

thank you though

[lone heart]

Channel closed

Closed by @heady rune

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.

[stuck sinew]

How do I start?

[stuck sinew]

my work is

this

[vague coral]

[slender quiver]

is

[stuck sinew]

IS!!!

holy moly so blurry wtf

[slate monolith]

you do your hw in latex?

that looks like an answer key

[vague coral]

first line is wrong ?

[stuck sinew]

I asked my boy gpt 😂

if ykyk

for latex output

[slow hound]

how does gpt spit that out wtf

oh damn

[slow hound]

thats impressive ngl

gpt4

[stuck sinew]

I copy and paste into latex compiler 😂

[slate monolith]

yeah lol first line wrong

dont use gpt

[stuck sinew]

AYOOOO

[slate monolith]

you wrote that out?

[vague coral]

imagine using chatgpt

[slow hound]

gpt is good at general idea, sucks at computation

[stuck sinew]

this was my prompt 😂

[slow hound]

it cant even evaluate definite integrals

[stuck sinew]

I use it for c++ ☠️ as well

[slate monolith]

oh

[stuck sinew]

works like a charmino

[slate monolith]

yeah dont use chat gpt to do hw...

[slow hound]

its trained on leetcode so its good for cpp

[vague coral]

so anyway, first line is already wrong

[slate monolith]

yeah

[vague coral]

you can solve this limit asymptotically

[slate monolith]

@stuck sinewalso when I ask for work I dont mean chatgpt's "solution"

[stuck sinew]

i was asking for a friend 😂 but he got it I think

[stuck sinew]

💯

yo anyone go to UCI for math

or UCLA

fuck even berkeley

[vague coral]

what are these things

[stuck sinew]

universities ☠️

[wispy salmon]

lol thanks man im the guy in need of help but i got it you can close man

[stuck sinew]

i'm planning to transfer to

[vague coral]

gl then

[slate monolith]

.close

[lone heart]

Channel closed

Closed by @slate monolith

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.

[rocky quest]

How do I do 2.a)

[slender quiver]

!show

[lone heart]

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

[rocky quest]

I don’t know how to do it

[vague coral]

free body diagram and shit

[rocky quest]

I know but how would I draw it if it moves up and down

Would the child remain at rest?

[vague coral]

draw it like a pendulum

wait a sec no

[rocky quest]

Something similar

Simpler*

[sage stag]

velocity adds no extra force

downward acceleration is the same no matter how fast we go (assuming it stays 9.81)

[rocky quest]

Yes

That’s the acceleration

So I don’t have to take into account of the velocity

[sage stag]

then f=ma from there

[rocky quest]

Because it doesn’t change the force

Okay

Thank you

Y doesn’t the velocity effect the force

[sage stag]

because velocity is relative

to that child, they are not moving

[rocky quest]

Mmm I see

.close

[lone heart]

Channel closed

Closed by @rocky quest

Use .reopen if this was a mistake.

[rocky quest]

.reopen

[lone heart]

✅

[rocky quest]

Can you look at 3?

I tried doing

Fnet=ma and rearranged for a

And it was wrong

[sage stag]

so, we know their mass, we want to find out an upward force because this will give use mass*g

with g=9.81

im assuming

we also know their downward force

our upward force, by the third law becomes opposite

[rocky quest]

Ya

[sage stag]

do you see what to do from here?

[rocky quest]

Yes thank you

.close

[lone heart]

Channel closed

Closed by @rocky quest

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.

[jaunty sierra]

can someone pls help with this?

An airplane passes over the airport in Ottawa at 1:00 PM heading south at a speed of 350 km/h. At the same time another plane is 400 km East of the airport and travelling towards the airport at a speed of 300 km/h. At what time will the distance between the airplanes be a minimum? What is the minimum distance?

[lone heart]

Please don't occupy multiple help channels.

[slate monolith]

.close

[lone heart]

Channel closed

Closed by @slate monolith

Use .reopen if this was a mistake.

[jaunty sierra]

do i just post in the other help channel

[limpid turret]

Either close the other one and ask here, or keep this closed and ask there

[jaunty sierra]

okay, i'll close this one. do you mind helping me in #help-5 ?

.close

[lone heart]

Available help channel!

Send your question here to claim the channel.

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

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

[dim haven]

note: my question is pretty simple only reason i’m asking here is idk what to search for on google.

how can i learn to read this kind of a proof: https://www.mathcounterexamples.net/a-function-continuous-at-all-irrationals-and-discontinuous-at-all-rationals/

i’m an high school student and was just really interested in this function i saw in a video (it was briefly mentioned). i looked it up but i can’t seem to understand it’s proof bcs i don’t have enough knowledge to properly read(?) the proof.

[sage stag]

this is just set theory and analysis

you could learn naive set theory in maybe an hour or two, which is good enough for this

you just need to know calculus

its basically saying, f is defined by x=0 if it isnt rational, and all rationals a/b become 1/b

briefly,
f(a/b)=1/b
f(a)=0 when a isnt rational

it uses gcd (greatest common denominator) to accomplish this

then it just uses the definitions of continuity using limits

basically it boils down to this

[dim haven]

at which part do they use gcd?

[sage stag]

in the limit definition, to reduce the power properly

i should have specified that f(a/b)=1/b when a and b share no common multiples

this is what gcd tells us

[dim haven]

basically when they r relatively primes?

[sage stag]

yeah

coprime

[dim haven]

kk

ty

[sage stag]

it boils down to this: there are many, many more reals than rationals, since we are 0 where we arent rational, we can consider this continuous because it is at 0

[dim haven]

1 more thing

the set theory knowledge i need,

(1 sec i'm trying to think of a way to properly put this)

[sage stag]

you only really need to know logic to learn it entirely, but (you actually dont need it)

[dim haven]

is it like knowledge from different parts of the subject?

or is it from the beginning to a specific point

[sage stag]

honestly, you just need to learn all the operations and the general ideas behind it, then you need to learn russles paradox when youre done

[dim haven]

but a little bit right? cuz i haven't seen any logic signs that idk of yet

[sage stag]

logic is literally just and, or, not, implies, equivalent

they take and give true or false

[dim haven]

how does implies work

and the "equalivent", is it the normal equalivent i am familiar with?

[sage stag]

->
we say a->b (a implies b) like this
assume i say
if it rains, then i go inside
then it rained and i went inside: true
it rained and i didnt go inside: false
it didnt rain and i did go inside: true
it didnt rain and i didnt go inside: true

yeah, equivalent is what you think it is

<->

only when both are true or both are false

[dim haven]

so basically

implies is only false if there is contradiction

[sage stag]

yeah

[dim haven]

kk

ty good sir

[sage stag]

np

[dim haven]

i am now closing this discussion if u don't have anything else to add

[sage stag]

unless you have any other question

[dim haven]

nope

that's all

ty again

.close

[lone heart]

Channel closed

Closed by @dim haven

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.

[loud thunder]

I don't understand how to do this

[sage stag]

there isnt enough context here

[loud thunder]

I need to simplify the equation

[sage stag]

ok

so

we have this rule $a^n\cdot a^m=a^{n+m}$

[ocean seal]

ThisGuy

[loud thunder]

oh

[alpine sable]

And you've got identical bases

For both x and y

[sage stag]

as in, x^1/3 and x^1
and y^1 and y^3/2

[alpine sable]

Yes. That.

[loud thunder]

thank you

i overthought it

[alpine sable]

Happens to the best

[loud thunder]

.close

[lone heart]

Channel closed

Closed by @loud thunder

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[alpine sable]

how did they derive that equation from the top one

[sage stag]

what is in the sqrt

i see l?g

[alpine sable]

L/g

length divided by gravity

@sage stag

[sage stag]

okay, what is T

tension?

[alpine sable]

period

[sage stag]

oh, its a pendulum?

okay, so yeah
$T=2\pi\sqrt(\frac{L}{g})$

[ocean seal]

ThisGuy

[sage stag]

draw me a free-body diagram of the pendulum

ill walk you through it geometrically

[alpine sable]

i appreciate the offer but im kinda busy and was just hoping for a quick reply. ty tho

.close

[lone heart]

Channel closed

Closed by @crude ginkgo

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.

[oblique latch]

Hey,  Can somebody walk me through this problem? I don’t know how to start solving this problem. Thanks.

[lone heart]

@oblique latch Has your question been resolved?

[waxen flame]

The initial amount of active ingredient will be at t = 0.

[oblique latch]

Mhm

What do I do

@waxen flame

[waxen flame]

Solve for n(0) and a(0).

[oblique latch]

How do I do that?

[waxen flame]

You are given the equation for each function. Just plug zero into each.

[lone heart]

@oblique latch Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

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

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

[pale depot]

So I was trying to rederive the quartic formula on my own. So I tried to set up a system of equations (see only first four lines in first image) by drawing parallels with the coefficients of the depressed quartic with (x + y)^4 (where z = x + y). Finding y and z is remarkably simple doing this and it’s most certainly not the quartic formula. I feel like I’ve overlooked something obvious but I can’t tell what it is.

[tacit arch]

Just read the quartic wikipedia

[pale depot]

No but I want to do this on my own

And I don’t know why this method is incorrect

<@&286206848099549185> please help

[lone heart]

@pale depot Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[junior warren]

could anyone help me out on how to solve a here?

i have a bit of a start but not certain on much

i set 2 different time variables and plugged into x

but all i got is that a=+-b

but i guess i know that a=-b, as if a=b either they are the same time or b is negative anyways?

[chrome salmon]

where did a and b come from?

[junior warren]

just set two random variables equal to time

since for it to intersect it self, x coord must be equal 2 itself at 2 different times

was my thinking atleast

[chrome salmon]

you mean, you did t=a and t=b and gthen equated, right?

[junior warren]

yes

and made the x equal to itself at times a and b

to find the relation between a and b

[chrome salmon]

and you got a = +-b

[junior warren]

yup

but just to generalize i will say a=-b

since a=b is basically useless

as it is obvious equal to itself at the same time

then i used that relation, subbed into y

let those two equal themselves

that being

y(a)=y(-a)

and then isolate for a

got a = +-sqrt6

[chrome salmon]

i doubt you got b = +- a

[junior warren]

unless i computed it wrong

[chrome salmon]

you did it right but you want it such that y(a)=y(-a) satisfy

[junior warren]

yes that was just to find a relation for the two times

[chrome salmon]

what do you get value of a after this

[chrome salmon]

ok so your points are $(x(\sqrt{6}),y(\sqrt6))$ and (x(-\sqrt6),y(-\sqrt6))$

[ocean seal]

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

[junior warren]

im noticing i messed up some arthimetic but it ended up fixing itself lol

yes i think those would be my points

and i need these point as my bounds for integration

[chrome salmon]

bounds for t yes

[junior warren]

right

[chrome salmon]

what are you integrating

[junior warren]

and since the nature of the functions

my lower bound is actually

the pos sqrt6

since as time gets greater the functions produce smaller values

i am integrating this area

or rather

the area bounded by it

thus i need those intersections

[chrome salmon]

that shouldn't be the case

it depends on integration is done closkwise or anti-clockwise

[junior warren]

how can i determine that?

i was just thinking

as t increases

x decreases

thus it is counter clockwisee?

[chrome salmon]

given in the question

[junior warren]

which part of the question is it given in?

or does time always have to be from negative to positive?

[chrome salmon]

when they give an integration question

[junior warren]

am i forgetting about something?

i havent touched parametrics in a bit lol

[chrome salmon]

why is the area solution so long

[junior warren]

our software sometimes rejects rounded answers so i just put it in exactly

however as it can be seen i threw a -ve sign infront as i must have gotten the direction wrong lol

[lone heart]

@junior warren Has your question been resolved?

Channel closed

Closed by @junior warren

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.

[zenith olive]

hi

[zenith olive]

14 please

[lone heart]

@zenith olive Has your question been resolved?

[zenith olive]

.cose

.close

[lone heart]

Channel closed

Closed by @zenith olive

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.

[signal monolith]

hi could someone please help me with this question on complex numbers 😅

[vale wigeon]

any progress so far?

[alpine sable]

is w*, conjugate of w

most likely

[signal monolith]

yes this is what i have so far

[signal monolith]

yes i think so

[vale wigeon]

you forgot the case x=0 when you divided both sides by 2x

[alpine sable]

for, 2xy + 2x = 0
you can write it as
2x(y+1) = 0
for which you have x=0 or y=-1

[signal monolith]

ohhhh

[signal monolith]

ohhh i seee

thank you so much guys

i couldn’t figure out where x=0 came from looking at the mark scheme 🤦‍♂️

[signal monolith]

and do i find w by using the equation in the question

[alpine sable]

you have assumed w = x + iy

so for different values of x and y there will be different values of w

and you will have multiple solutions

[signal monolith]

ohh right

[signal monolith]

okay thank you so much 😄

.close

[lone heart]

Channel closed

Closed by @signal monolith

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

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

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

[alpine sable]

Not sure how to approach this

Did a similar previously so I'm thinking ii) is !4 but not sure if thats correct (nvm wasnt correct)

[vale wigeon]

ellipsis consisting of one number

[alpine sable]

I dont follow

[vale wigeon]

this wasn't a step

this was just me remarking upon the fact that

yknow

why {-10, -9, ..., -7} instead of {-10, -9, -8, -7}

[vale wigeon]

what's !4 btw? derangement number?

[alpine sable]

yeah

[vale wigeon]

incorrect

[alpine sable]

I know I tried it just now

[vale wigeon]

there are 4! one to one functions

[alpine sable]

hmm so, -8 maps to -9, so then 3 things mapping to 3 things left

[vale wigeon]

and (i) is 3! yes that's exactly why

[alpine sable]

ohhh

Yeah my brain short circuited thank you!!!

.close

[lone heart]

Channel closed

Closed by @marble dome

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

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

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

[alpine sable]

So I got the answer -f^'(-x)

[alpine sable]

but how is that an odd function

[echo socket]

So f'(x) = -f'(-x)

Which is the definition of an odd function

[alpine sable]

? I thought -f(x)=f(-x)

[echo socket]

[echo socket]

Multiply both sides by -1

You get -f'(x) = f'(-x)

[vague coral]

you are right

[alpine sable]

https://tenor.com/view/invisible-ink-pig-head-memoji-gif-25029183

ty

.close

[lone heart]

Channel closed

Closed by @carmine basin

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[stone ruin]

What is the meaning of a spectral decomposition

[stone ruin]

what does it mean

[stable pivot]

matrices?

[stone ruin]

yeah

spectral decomposition of a matrix

[stable pivot]

it's a theorem

[vague coral]

it means that any symmetric matrix with real component can be diagonalized

[stone ruin]

thats it?

[vague coral]

if i remember

[stone ruin]

but its like a whole operation

[vague coral]

like ?

[stable pivot]

yeah you need to find eigenvectors

and eigenvalues

[stone ruin]

doesnt diagonilization just mean that all the eigenvalues are real

[stable pivot]

for the spectral decomposition

[vague coral]

yes

[stone ruin]

??????

[vague coral]

but be careful

[stone ruin]

I don't understand

[vague coral]

whats wrong

[stone ruin]

is spectral decomposition

does it involve

[stable pivot]

Theorem 1 (Spectral Decomposition): Let A be a symmetric n×n matrix, then A has a spectral decomposition A = CDCT where C is an n×n matrix whose columns are unit eigenvectors C1, …, Cn corresponding to the eigenvalues λ1, …, λn of A and D is the n×n diagonal matrix whose main diagonal consists of λ1, …, λn.

[stone ruin]

Q(upside down V)QT

[stable pivot]

it's just a notation

[vague coral]

define your variables, i have no idea what you wrote

[stone ruin]

Q is a matrix of normalized eigenvectors for the symmetric matrix

upside down V is the diagonilization

[vague coral]

yea

[vague coral]

the diagonal matrix*

which contains all the eigenvaluea

[stone ruin]

its not called a diagonolization matrix?

[vague coral]

and Q is the matrix where the columns are the eigenvectors normalized

[vague coral]

where did you see that its called like that

[stone ruin]

Nowhere

I just thought it was called that for some reason

[vague coral]

its just a diagonal matrix that represents the symmetric matrix on a basis composed of eigenvectora normalized

nothing too deep

[stone ruin]

sorry im digesting that fact

[vague coral]

Or in simple words, its an other expression of the matrix but in an other basis

and that basis is composed of his eigenvectors

[stone ruin]

okay, so I did out the operations, and I don't

I don't really get how tf this works

What is Q(upside down V)

just by itself

[vague coral]

Let M be a symmetric matrix with real coefficients

M can be diagonalized and we have :

$M = QDQ^T$

[ocean seal]

Ｈｅｒｅｌｓ

[vague coral]

where D represents the diagonal matrix composed of eigenvalues

[stone ruin]

yeah

[vague coral]

and Q the matrix where the columns represent the eigenvectors of M

[stone ruin]

yeah

[vague coral]

normalized

i forgot to add that

[stone ruin]

yeah I know

but why is that the case??????

[vague coral]

You want a proof of this theorem ?

[stone ruin]

like I'm not asking for a proof really, more a justification

not really

[vague coral]

I cant really tell how it works

[stone ruin]

fair enough

What actually is Q??

like

what is the matrix Q

what does it mean

I get that D like

scales the eigenvectors in Q by the amount that they would be scaled by the original matrix

[pale depot]

I’m so sorry I fell asleep

[vague coral]

Q is an orthogonal matrix

[stone ruin]

ah okay

also

if the homework says "find the spectral decomposition of M" and then gives a matrix M

what do you actually put down?

[pale depot]

Can I reask this in a different channel?

[vague coral]

.

[stone ruin]

Just that?

like without actually doing it out

[vague coral]

nah but you need to find Q and D of course

[stone ruin]

yeah I know

[stable pivot]

well you'll need to find each matrix and then write the actual spectral decomp as M = your matrices

[vague coral]

And state what they are

[stone ruin]

but i mean without doing the multiplication

ah okay

[vague coral]

no need to do a multiplication

I said you diagonalize M

[stone ruin]

too late ._.

[stable pivot]

no that's the decomposition you decompose your matrix M into 3 matrices

[vague coral]

You diagonalize M : characteristic polynomial, eigenvaluea eigenvector blablabla

Now that you have the basis formed by eigenvectors

you normalize it

Graam-schmidt is the classic way

When you are done fiding the orthonomal basis, you use it for Q

and thats it

[stone ruin]

wait

why do I have to use graam schmidt

cant I just find the eigenvectors, normalize them, and cram them into Q?

[vague coral]

.

[vague coral]

thats the classic way but I said Q is composed of normalized eigenvectors

Thats the spectral decomposition

[stone ruin]

ah okay

thank you!

[vague coral]

np

[stone ruin]

.close

[lone heart]

Channel closed

Closed by @stone ruin

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[cunning fog]

Write down each statement and its negation. Which of the statement and its negation is true and which is false?
10 is divisible by 2 or 3

according to the works soluitions the answer is:
P : 10 is divisible by 2 or 3 (false)
not P : 10 is not divisible by 2 and 10 is not divisible by 3 (true)

but i got the reverse answer. I was wondering where my thinking went wrong.
Here is a picture of my working out on a paint picture.

[lone heart]

@cunning fog Has your question been resolved?

[cunning fog]

!15m

[lone heart]

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.

[cunning fog]

@crisp iron

[cunning fog]

#❓how-to-get-help

[echo socket]

Stop posting in others' channels

[lone heart]

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.

[lone heart]

@cunning fog Has your question been resolved?

[lone heart]

@cunning fog Has your question been resolved?

[lone heart]

@cunning fog Has your question been resolved?

[cunning fog]

@crisp iron

[cunning fog]

Write down each statement and its negation. Which of the statement and its negation is true and which is false?
10 is divisible by 2 or 3

according to the works soluitions the answer is:
P : 10 is divisible by 2 or 3 (false)
not P : 10 is not divisible by 2 and 10 is not divisible by 3 (true)

but i got the reverse answer. I was wondering where my thinking went wrong.
Here is a picture of my working out on a paint picture.
Image

[tidal sun]

anyone can help?

[cunning fog]

@crisp iron

<@&286206848099549185>

[cunning fog]

bro i have been @ tting this poor guy for the last 5 hours😂

[cunning fog]

<@&286206848099549185>

[stable pivot]

first proposition is true second is false

since 10 is divisible by 2 P or Q is correct and for the second since 10 is not divisible by 2 is false and its an and statement it suffices to say its false

solutions are therefore incorrect

[cunning fog]

Thanks!

.close

[lone heart]

Channel closed

Closed by @cunning fog

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.

[prisma badger]

help

[prisma badger]

<@&286206848099549185>

[alpine sable]

do you know what continuous and non continuous data is

[prisma badger]

no

I haven't learnt it

[alpine sable]

ok so its kinda self explanatory, if you look at a bar graph for example, what do you notice about the x axis values

[prisma badger]

its continuous/unchanging

[alpine sable]

no - it is non continuous

beacuse there is no neumerical order

[prisma badger]

oh

ok

[alpine sable]

so to answer the question

a and a can

b cannot

[prisma badger]

and c can't?

[alpine sable]

c can

think about why and what i mentioned earlier

[prisma badger]

ok

oh I can somewhat understand it

thanks

.close

[lone heart]

Channel closed

Closed by @prisma badger

Use .reopen if this was a mistake.

[prisma badger]

.reopen

[lone heart]

✅

[prisma badger]

its incorrect

[alpine sable]

what were the reasons you gave

you had to write a sentence explaining the reason for each answere

[prisma badger]

I just had to tick if I wrote the explanation or not

[fallen verge]

thats beside the point

what was your selection

[prisma badger]

a can
b can't
c can

[fallen verge]

why a

[alpine sable]

oh crap

😭

buildings.....😭

[fallen verge]

you need to compare two quantitative variables

[prisma badger]

oh

that can be represented as an bar graph

[fallen verge]

i would be quite nice as a bar graph

[alpine sable]

whats a quantative variable

[fallen verge]

quantitative- having quantity, a numerical value

favorite sport is a qualitative variable

[alpine sable]

ohhh - basically a number

[prisma badger]

tnx I got it now

[fallen verge]

thats why favorite sport cannot use a scatterplot

building height is one variable

[prisma badger]

I understand it now

[fallen verge]

just making sure

[prisma badger]

both variables should have a numerical value

[fallen verge]

pretty much

but just be careful that its not some trick question

i guess there arent very many trick questions i can think of, so you should be fine

[prisma badger]

alr then thanks and bye

[fallen verge]

have a good one

[prisma badger]

.close

[lone heart]

Channel closed

Closed by @prisma badger

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.

[rugged spindle]

i have to write a calibration algorithm that does something like this, i've done it with polynomials and linear regressions in the past but this is unfamiliar, ChatGPT suggests it might be piecewise linear interpolation, is that what I'm looking for here?

[rugged spindle]

I hope the diagram is somewhat readable

[lone heart]

@rugged spindle Has your question been resolved?

[lone heart]

@rugged spindle Has your question been resolved?

[molten pivot]

I mean it doesn't seem like there's much to it from the info given

True value + offset = observed value

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[lyric mica]

Hi guys, where did he get 11x/7 from? Also is there a better way of doing this question?

[wary stream]

What's 1 + 4/7?

And all it did was find the value for x, you still need to find the value for y

[lyric mica]

Still confused if I’m being honest

[hushed wolf]

x + 4x/7

what does it make up to

[wary stream]

Where are you confused?

Do you know how to add fractions?

4/7 is a fraction, 1 is not

You need to find a common denominator

And add fractions

[lone heart]

@lyric mica Has your question been resolved?

[lyric mica]

Oh yeah bruh I got it now thank you

[lone heart]

Channel closed

Closed by @lyric mica

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.

[cobalt delta]

If I take a question like

4 (77) - 72

And rearrange it to:

4 (77) + 4 (-18)

Then combine the two together to form

4 (77 - 18)

I know this works, but what properties of arithmetic would that final step be? I know that in step 2, I'm factoring out a 4, but what is the step that lets me combine the fours by grouping the 77 and -18 into a single arithmetic expression

I feel like I know how to do it intuitively from when I last practiced algebra, but I've got no idea what the rule was that let met do it?

[placid zinc]

Distributive property

[cobalt delta]

Alright ty, I think it threw me because I'm used to doing distribution in reverse

Thanks though, just doing some easier problems to get back into the swing of it and finding myself solving them using different concepts

.close

[lone heart]

Channel closed

Closed by @cobalt delta

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.

[tiny surge]

how do i solve?

[lament forge]

is there a particular part of that that you don't know how to do?

[tiny surge]

i dont understand how to do an of it

[coral thorn]

starts with P ends with S

[tiny surge]

ok

pemdas

[coral thorn]

use that

[tiny surge]

k

.close

[lone heart]

Channel closed

Closed by @tiny surge

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[alpine sable]

Geometric probability

[alpine sable]

.open

[fringe folio]

ah mb I'll close mine for you

.close

[lone heart]

Channel closed

Closed by @fringe folio

Use .reopen if this was a mistake.

[alpine sable]

.reopen

[lone heart]

Available help channel!

Send your question here to claim the channel.

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

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

[magic flax]

i got 50.3 originally but i'm confused on how it's wrong, someone just walk me through the steps please

[lone heart]

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

[magic flax]

i found the radius which is 4, 4^2 is 16, and so i did 16(pi) to get 50.3

[wary stream]

How did you find the radius?

@magic flax

[magic flax]

i used the distance formula but ig i some how miscalculated it because i re did it and got something else and it was correct

sorry for the waste of time

.close

[lone heart]

Channel closed

Closed by @magic flax

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.

[steep patio]

not sure where to start

[naive valley]

what value of x can you plug into the first series in order to get the second series?

[lone heart]

@steep patio Has your question been resolved?

[steep patio]

but how can we guarentee that the taylor series is equal to the function

[naive valley]

well for that, you need to know something about analytic functions, do you have any theorems?

[steep patio]

just taylor's theorem

but the derivatives of f(x) don't seem to be bounded

[steep patio]

on the interval

[naive valley]

well you can see from the coefficients that the series converges as long as |x-3| < 2, the question is whether it converges to the original function.. that's where the theory of analytic functions comes in

probably in the context of this question, you can just assume that it's true

[steep patio]

alright thanks

.close

[lone heart]

Channel closed

Closed by @steep patio

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

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

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

[rustic yew]

hi

[alpine sable]

shit

sorry

[rustic yew]

oh mb

i'm sorry

[alpine sable]

all too

good

[rustic yew]

all i do now is post the question?

[keen mason]

thaTs the plan

[rustic yew]

how do you solve for x in this

<@&286206848099549185> please help me

[tacit arch]

divide by 3, square both sides, subtract 28, then square root to find x

[rustic yew]

ok thanks

[rustic yew]

wait divide what

[tacit arch]

oh maybe 3/2 instead of 3

is your equation $\frac{3\sqrt{x^2+28}}{2} = 6$ ?

[ocean seal]

riemann

[rustic yew]

it's not 6

it's 12

[tacit arch]

why is 12 over the 2 then

[rustic yew]

idk that's the last question i'm stuck on

[tacit arch]

show the original question

[rustic yew]

that's it

[tacit arch]

what you wrote is not standard

you think it is

but you wrote something wrong

[rustic yew]

holld up let me get it

yeah that's it

it's how it's supposed to be

[tacit arch]

screenshot or take a picture

[rustic yew]

i just drew it

my phone died

[tacit arch]

yea no way your book wrote it like that

your fraction under the 12 is over the 2

12/2 = 6

so you either drew the line too long or it should be 6 on the right

[rustic yew]

nooo

i did it long

[rustic yew]

it's like this mb

[tacit arch]

yea divide by 3/2 instead of 3

[rustic yew]

so what are the steps

[tacit arch]

.

[rustic yew]

divide what tho

[tacit arch]

you first step should be 12 / (3/2)

do you know how to divide fractions

[rustic yew]

yeah

but this was my thing

is it right

[tacit arch]

no

[rustic yew]

o

[tacit arch]

those are 3 different equations

[rustic yew]

no like the steps

[tacit arch]

and would result in 3 different answers for x

[rustic yew]

oh okay

wym by 3/2

[tacit arch]

3/2 is a number equal to 1.5

[tacit arch]

dividing by 3/2 on both sides would result in just the square rot on the left side

[rustic yew]

can you just send me like steps on how you did it i'm so confused

[tacit arch]

did you do this yet

[tacit arch]

.

[rustic yew]

is it 8?

that's what i got

[tacit arch]

is what 8?

[rustic yew]

.

[tacit arch]

,calc 12/(3/2)

[ocean seal]

Result:

8

[tacit arch]

yes

[rustic yew]

ok

can i send you like a jamboard so you can show me what to do?

[tacit arch]

no

just type out what you're doing here

[rustic yew]

ok

[tacit arch]

After dividing by 3/2, what's your left hand side

[rustic yew]

just 3

[tacit arch]

no

[rustic yew]

0?

[tacit arch]

also no

[rustic yew]

nothing

[tacit arch]

what's this divided by 3/2

[rustic yew]

what

the 3?

[tacit arch]

$\frac{\frac{3}{2}}{\frac{3}{2}} = ?$

[ocean seal]

riemann

[rustic yew]

what

add?

[tacit arch]

do you know how to simplify this?

[rustic yew]

uh

3 0/2 ?

3 wholes

[tacit arch]

so you don't know how to divide fractions https://www.mathsisfun.com/fractions_division.html

[rustic yew]

ohhh

yeah

is it 2.25

[lone heart]

@rustic yew Has your question been resolved?

[lone heart]

@rustic yew Has your question been resolved?

Channel closed

Closed by @rustic yew

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.

[amber atlas]

Need to determine if this is true, since they have the same truth values, we say this affirmation is true

[lone heart]

@amber atlas Has your question been resolved?

[placid zinc]

What's with the o?

Supposed to be an "OR" judging from your work

The left side is true always.

The right side can be false

For example, if y = 4

So these two are not equivalent and so the whole thing is false

@amber atlas

Splitting them up into p,r,s and then forgetting what p, r, and s are is not a good strategy. Notably, on the left side, p and s are related

[amber atlas]

or

[amber atlas]

how can it be false if it has to be less than 3?

I noticed that sqrt(7)<3 too

so since one of the affirmations is true, we say that the disyunction is true if one of the affirmations is true

[lone heart]

@amber atlas Has your question been resolved?

[placid zinc]

Let's look at the case y = 4.

Is y < 3? No. So that's false.
Is y² = 7? No. So that's false.
Is y³ = 27? No. so that's false.

Since we have F o F o F, we get a F.

@amber atlas

Notably, there's no rule against using y = 4.

[lone heart]

@amber atlas Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[main ruin]

What is a possible way to divide by zero?

[plucky token]

like a limit?

[echo socket]

Whoever told you it’s possible is wrong

[lone heart]

@main ruin Has your question been resolved?

[main ruin]

But surely there must be some way, just because it has not been proven yet doesn't mean its not possible

[night geyser]

mathematicians have certainly tried to add in division by 0 in a way consistent with existing algebra

its... kind of possible to do

the riemann sphere permits division by 0 in most cases, for example

but its not super interesting

in the riemann sphere you just get infinity which is not a very nice object to work with