help-0

[pine kettle]

$\frac{d}{dx}\left(C\right)=\ 0$

[ocean seal]

sills

[dire crown]

i understand that there has to be more to it, right?

because i was talking to someone else and they had shown me this

[pine kettle]

I've only gotten to applications of derivatives, haven't even done integrals yet 😿

Good luck

[dire crown]

oh

rip

[smoky cloud]

do uk what an integral is ?

[dire crown]

yes

[smoky cloud]

what is it ?

[dire crown]

area under a graph

[smoky cloud]

ya

[dire crown]

yk

[smoky cloud]

definite integral will give in b/w the specified co-ordinates

indefinite integral will be the general area formula ( it is like an expression )

[dire crown]

oh.

so

its literally something like x + 2

and not x + 2 = 2

[smoky cloud]

not like that wait let me share some pic for better understanding

[dire crown]

ok

[smoky cloud]

see this green is definite integral b/w point a and b
indefinite integral is the entire area's expression

[dire crown]

o

k

[smoky cloud]

understood ?

[dire crown]

yes

[smoky cloud]

cool

[dire crown]

.close

[lone heart]

Channel closed

Closed by @dire crown

Use .reopen if this was a mistake.

[dire crown]

thank

[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.

[spark latch]

I am just not sure what it is asking or how to do it

[pine kettle]

I had a problem on my review exactly like this

[spark latch]

Did you understand what it was asking and how to do it?

We are just learning this stuff and I am not understanding ngl

[spark latch]

ohhhh okay I get it

I just didn't read the last part correctly

ty

[lone heart]

@spark latch Has your question been resolved?

Channel closed

Closed by @spark latch

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.

[small flint]

help

[severe sluice]

is this in a test?

[small flint]

no

@severe sluice

[severe sluice]

anyways

what are you having trouble with?

[small flint]

tri c

[light ether]

I believe it is saying that you reflect the triangle over the line x=-1

(which is not what I had in that previous image)

[small flint]

hm

[small flint]

so x=-1 is the new mirror?

[light ether]

only for triangle c

[small flint]

i know that

[severe sluice]

how are you able to draw that quickly

[light ether]

Triangle C is just defined as Triangle B but reflected over the line x=-1

[small flint]

ah

[light ether]

too many years of using illustrator

[light ether]

it's worded strangely, but that's what it means by "reflected in"

[small flint]

how about triangle d

[light ether]

I'm trying to remember if in matrix form y is above or below x

the matrix
[-3
-4]
could either be (-3,-4) or (-4,-3) depending on whichever it is

[severe sluice]

-3 is for x
-4 is for y

[light ether]

ty

[severe sluice]

or at least that's usually howit works

[light ether]

matricies are weird, but I just checked and yup, thankfully they're normal here

[small flint]

so x for the top?

[light ether]

so you're translating triangle a by (-3,-4)

yup

so it should look something like this

[small flint]

so move triangle a from1,1 to -3,-4?

[light ether]

a translation of vector (-3,-4) would mean moving the point (1,1) 3 across and 4 down

basically

[small flint]

oh

[light ether]

you're taking the original point (1,1) and adding (-3,-4) to it

(1+-3,1+-4) -> (-2,-3)

That's how adding vectors work

You add the components together

[small flint]

makes sense

[light ether]

now the scaling question is weird

But I think I've interpreted it correctly

[small flint]

ok

[light ether]

okay so say you have a grid

when scaling in relation to zero, you are pretending that shape's corner is centered at zero

[small flint]

90 degree angle?

[light ether]

so for example

we're pretending that this triangle is centered at 0,0

even though it's not

[small flint]

how would this apply to a square?

[light ether]

well, the square is a tool for us to think about the scaling

because the triangle is "centered" at 0 now

we have to pretend make sure it scales properly

here's what it looks like scaled

The square is half the size it was

but if we're looking at the triangle, we'll see it's also moved

Does that make sense?

[small flint]

yes?

how is it centered tho?

[light ether]

the scaling is centered

not the triangle

[small flint]

ah

[light ether]

I'm quite certain this is what it's asking for

so, you basically scale it but it also shift in the direction of the center

because of that invisible box

if it was a scale factor of 2, it would get further away

[small flint]

ok

hey btw have you herd of the Collatz Conjecture

[light ether]

It rings a bell, one moment

[small flint]

ok

[light ether]

oh yes

3x+1

yes, what about it

[small flint]

i find it interesting

also scary

[light ether]

and no, I can't solve it XD

[small flint]

did you know that you can use negative numbers?

if you do there are 3 loops

https://youtu.be/094y1Z2wpJg

found out through this guy

[light ether]

Fantastic channel

[small flint]

yea

engaging format too

do you think it will be like negative numbers?

like at first it wasn't accepted and now it's basic knowledge?

[light ether]

No idea

[small flint]

wouldn't it be cool tho?

like the scp's "missing number"?

[light ether]

Sorry kinda busy

[small flint]

yea

sorry

[light ether]

nw

just do .close when you're done

[small flint]

thanks

for helping

.close

[lone heart]

Channel closed

Closed by @small flint

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.

[undone scroll]

i got this wrong can someone help

[young bough]

What did you use for U sub?

[buoyant kayak]

i mean it's right

maybe try a decimal approximation? i dunno

[undone scroll]

yea i used lnx for u

should i try this, i have only 2 attempts so i can only have 1 more attempt

or should i just do the decimal

[buoyant kayak]

no idea what the program wants

i would assume an exact answer, which you already had

so sure, go for it

[undone scroll]

dang i got it wrong

thats so weird hmm ill email my teacher about it

thanks tho guys

.close

[lone heart]

Channel closed

Closed by @undone scroll

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.

[cunning raven]

Please help with negative polar coordinates

[lone heart]

@cunning raven Has your question been resolved?

[cunning raven]

hello?

wait I have another question

Where did I do my work wrong? @tough hatch

not exactly but i need the answer right now because i need to hand in in 10 min

again, this is not a test

hw

I'll ask why it works later

The only reason I'm cramming rn is I took too long trying to understand the previous ones

you saw me post hw and never asking for answers straight away

this is the only instance, and it's because I'm running against the clock

@tough hatch

[lone heart]

@cunning raven Has your question been resolved?

[cunning raven]

.close

[lone heart]

Channel closed

Closed by @cunning raven

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.

[gusty yew]

It looks like to see more clearly that its a perfect square in $\mathbb{C}$

[ocean seal]

glittersparkles

[gusty yew]

$1-4+4i = 1 +4i +4i^2 = (1+2i)^2$

[ocean seal]

glittersparkles

[rich basin]

@gusty yew but what kind of way did they find it?

[gusty yew]

Probably by the same concept as completing the square.

But instead of x you have i and i^2

So -8+6i=-8+9-9+6i=1+6i+9i^2=(1+3i)^2

This will not work for any imaginary number

(I think)

Yeah it only works if for some a,b real numbers x+iy =a^2-b^2+2abi

So the real part needs to be a difference of squares

[lone heart]

@rich basin 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.

[steel aurora]

Hi, so I have $\phi : Z_{30} \to Z_5$ be a homomorphism, where $\phi (3) = 4$, how do I find a formula for $\phi (x)$?

[ocean seal]

Atehortua

[steel aurora]

I know that $\phi(x)^n = \phi( \underbrace{x + x + \cdots + x}_{n\text{-times}})$, so we can use that on $\phi(3)^n$, but since 3 divides 30 I can't get $\phi(1)$ this way

[ocean seal]

Atehortua

[steel aurora]

or any element that generates $Z_{30}$ for that matter

[ocean seal]

Atehortua

[lone heart]

@steel aurora Has your question been resolved?

[lone heart]

@steel aurora Has your question been resolved?

[lone heart]

@steel aurora 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.

[quiet salmon]

How do I solve this

Question

[pine kettle]

Use exponent rules

[quiet salmon]

You mean "laws of indices"

??

[pine kettle]

Same thing lol

[quiet salmon]

Yeah so

I came up to here

Now what

[quiet salmon]

@pine kettle

Can I just add the power

[pine kettle]

You can distribute the exponent

You don't add exponents, you multiply when an exponent is to an exponent

[quiet salmon]

Ok

So I multiplied

Now

It looks like this

[pine kettle]

2b(c-a) is not 2bc-a

Also I suggest a dot instead of an x for multiplication

[quiet salmon]

Ok

Now what

[pine kettle]

More simplifying

[quiet salmon]

So can I just add the power

[pine kettle]

Seems so

[quiet salmon]

However, It looks like this

[pine kettle]

2b(c-a) is not 2bc-a

[quiet salmon]

So is it 2bc - 2a

??

[pine kettle]

No

[quiet salmon]

Yeah

?

What is it

Thwn

[pine kettle]

2bc-2ab

[quiet salmon]

Oh

So

Somehow I ended up like this

@pine kettle

Can I do

2c(a-b)

Cuz in both side they have 2c

[pine kettle]

Why couldn't you?

[quiet salmon]

So I did it and

End up

Like thus

X^2c(a-b)

$x$^2c(a-b)

[ocean seal]

! BASU乛ᴬᴳ

$x$^2c(a-b)
```Compilation error:```! Missing $ inserted.
<inserted text> 
                $
l.55 $x$^
         2c(a-b)
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.```

[quiet salmon]

That isn't the case

I messed up

So

It's like this

[pine kettle]

2c(a-b)

[quiet salmon]

Yeah

[pine kettle]

Distribute

[quiet salmon]

Ol,

2ca-2cb

Like this

??

[pine kettle]

Yes

Also organize your variables

2bc instead of 2cb

[quiet salmon]

Ok,

[pine kettle]

It will help you see like terms

[quiet salmon]

So what's the point

[quiet salmon]

I will eventually end up likely the same as this one

@pine kettle

[pine kettle]

Is that the final answer?

[quiet salmon]

I don't think so as my books says the answer should be "1"

[pine kettle]

That means you didn't distribute or do exponent rules correctly

[quiet salmon]

Where was I wrong

Man,

Sry dude

I ended up messing up

And can you tell md

How do I use this bot @ocean seal

And thanks for the help I got the answer

I appreciate it

!close

.close

[lone heart]

Channel closed

Closed by @quiet 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.

[fringe yacht]

Why is this not allowed in 28?

I can multiply the numerator and denominator by the same constant without issues right?

[lone heart]

@fringe yacht 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.

[tidal saffron]

I don't know if questions about genetic algorithms are appropriate to ask here since It partially falls under theoretical computer science, but I thought I should give it a go anyway.

[tidal saffron]

I am currently working through Schemas in genetic algorithms and came across the following question:

"How many possible schemas are there of length 'm' binary strings".

Intuitively my answer would be "2 to the power of m", however, this answer is wrong. Instead, it would be "3 to the power of m", but I don't entirely understand why that is the case. Would anyone be able to help me? Thanks.

[raw shard]

@neon gull this isn’t your channel, delete your message and go to an unoccupied channel

[neon gull]

Sorry

[vale wigeon]

what's a schema?

[tidal saffron]

A schema is a set of bit strings that can be described by a template made up of 1, 0 and *, where * stands for “wild card” ( 1 or 0).

[vale wigeon]

hm

so then wouldn't it be kinda obvious that there are 3^n such templates

each template is a string over {0,1,*}

and different templates clearly describe different schemas

[tidal saffron]

Lmao, that does make sense. I guess I was confused by the wording of the explanation that was given on the worksheet for the question

"There are m positions in the schema, and each position can take one of 3 possible values: 0, 1 or m. So the total number of possible choices is 3 to the power m."

[vale wigeon]

0, 1 or *

[tidal saffron]

So would I be right in thinking that m is just basically * ?

[vale wigeon]

whoever wrote that answer key for some reason replaced the wildcard symbol with m

[tidal saffron]

Alright, that makes sense. Thanks for the help 👍

.close

[lone heart]

Channel closed

Closed by @tidal saffron

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.

[chrome salmon]

Do u want to keep log or not

I can tell you two ways for this in that case

[ocean seal]

it's Sam

[chrome salmon]

Use this and tell me what you get on both sides

Ok

Now remove log from both sides

What do u get

Now write 9 and 27 in terms of power of 3

Good

Now get the powers of 3 on both sides

[ocean seal]

it's Sam

[chrome salmon]

Ok so now both base are same

So the power needs to be equal

What do we get

Good

There's other way too

By keeping log

[ocean seal]

it's Sam

[chrome salmon]

Are you aware of this?

Ok np

[ocean seal]

it's Sam

it's Sam

[chrome salmon]

I feel the presence of papa bread

\begin{aligned} (x+2) \log 9 &= x \log 27 \ (x+2) \log 3² &= x \log 3³ \ 2(x+2) \log 3 &= 3x \log 3 \ 2(x+2)&=3x \end{aligned}$

[ocean seal]

it's Sam

\begin{aligned} (x+2) \log 9 &= x \log 27 \\ (x+2) \log 3² &= x \log 3³ \\ 2(x+2) \log 3 &= 3x \log 3 \\ 2(x+2)&=3x \end{aligned}$
```Compilation error:```! Package amsmath Error: \begin{aligned} allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.55 \begin{aligned} 
                     (x+2) \log 9 &= x \log 27 \\ (x+2) \log 3² &= x \log 3...

You're in trouble here.  Try typing  <return>  to proceed.
If that doesn't work, type  X <return>  to quit.```

[chrome salmon]

Yeah

Close the channel if you have no more doubts

[lone heart]

@dusky shuttle Has your question been resolved?

[fringe yacht]

.reopen

[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.

[peak iron]

Hey, how to solve this? Thanks

[peak iron]

(To prove or disprove the statement)

[lone heart]

@peak iron Has your question been resolved?

[lone heart]

@peak iron 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.

[lapis goblet]

Shouldn’t it be i-(whatever)j + (sjzhusb)k

Because the determinant

<@&286206848099549185>

[lone heart]

@lapis goblet Has your question been resolved?

Channel closed

Closed by @lapis goblet

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]

Find the centroid of the region bounded by the given curves: $y=3x+5, y=0, x=-1, x=2$

[ocean seal]

u are on my mailing list goy.im

[alpine sable]

How would I do this when there's two x-values? I've tried doing the integral where a = 0 and b = 2, but it doesen't give me right answer

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

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

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

[alpine sable]

hi, could someone help me understand this worksheet?

[alpine sable]

i don't get what step pattern/mapping rule is

<@&286206848099549185>

[lone heart]

@alpine sable 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.

[shy tide]

I have a Google sheet that I am trying to figure out the following.

I am giving 50% to all my sales team of net and or profit of sale depending on the product. I figured it out my issue here is that some of my items cost is more then the sale, For instance line 19 price is $3 I am charging $4 for the product. In this case I want to make sure i am not losing money. So I need to do a few steps that i completed in the G,H,I,J col. But i cant figure it out a way to get the percentage amount at the end of the day between 50% Profit and lets say 48% profit. The reasoning i need to figure this out. I have a backend system that i can enter the percentage of net ONLY. This sheet will tell me what i need to put in the backend at the end of the day.

I want to show the percent they are getting for each year.
Year 1,2,3 the amount they will be getting in percentage.

[shy tide]

Col L and M can be used for any math purposes

row 5 and 6 are different then the rest

Another screenshot

[lone heart]

@shy tide Has your question been resolved?

[lone heart]

@shy tide Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[alpine sable]

Can't figure it out.

Put it in the right form

[zealous bloom]

What are you supposed to do?

[alpine sable]

Find y

Writing equations in slope intercept forn

Form

My channel

[fast zenith]

oh sorry

[fast zenith]

use the gradient formula
$m = \frac{y_2-y_1}{x_2-x_1}$

[ocean seal]

ShitakeMush

[alpine sable]

I did

6-y/7-17

[fast zenith]

yep and this equals to one

just rearrange and solve for y?

[zealous bloom]

Sorry my internet is being weird - point-slope form:
y - y1 = m(x-x1) -> m is given as 1

[alpine sable]

6-y over -10

I need y

I can't get y

@zealous bloom

[zealous bloom]

Let's put it in point-slope form and see what happens:
y - y1 = 1 (x-17)
y - y1 = x - 17
y = y1+x-17

[alpine sable]

I got it y=16

Thx

.close

[lone heart]

Channel closed

Closed by @olive turtle

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.

Channel closed

Closed due to the original message being deleted

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.

[neat wharf]

How do I solve this problems correctly and even if I do, how do I figure out the value of the other sides?

[raven swallow]

What have you tried?

[neat wharf]

I already figured out the first problem, by diving 9/15 and multiplying the answer of that by 9, getting 5.4

I'm just out of ideas in the second problem though.

I tried doing the same thing, but I don't know how I can get 7.86.

[raven swallow]

what if you knew XW?

[neat wharf]

I do not know how to determine the other sides besides the two already mentioned.

[raven swallow]

I'd start with two different expressions for cos(ZXW)

what are they?

leave XW just like that, no numbers yet

put these expressions for cos(left lower angle) equal

express XW

knowing it you can find a cosine too, and using cosine and XW you can also get WY

[lone heart]

@neat wharf Has your question been resolved?

[neat wharf]

.close

[lone heart]

Channel closed

Closed by @neat wharf

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.

[waxen adder]

Not sure how to go about this one

Nvm i got it 👍

.close

[lone heart]

Channel closed

Closed by @waxen adder

Use .reopen if this was a mistake.

[waxen adder]

This one I’m not sure of

[lone heart]

Available help channel!

Send your question here to claim the channel.

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

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

[shy tide]

.reopen

.reopen

[raven swallow]

what have you tried?

[waxen adder]

I haven’t tried much yet just because i didn’t know where to start so i opted for some other practice problems first 😕

[raven swallow]

How about using derivatives to minimize things

or to maximize

[shy tide]

I have tried a few methods.

1. take the total*50% then minus the cost price.

[waxen adder]

Not sure i follow the set up

[shy tide]

not a math guy. use to be one, but forgot it during my older years. I can use the guidance on how to do it

[raven swallow]

@waxen adder let's go to #help-14

[waxen adder]

Ok

[shy tide]

Sorry i didnt know who was communicating with who

Telocall Profit is the company profit
Your profit is the sales persons profit
income is the overall profit
Our cost...

[lone heart]

@raven swallow Has your question been resolved?

Channel closed

Closed by @raven swallow

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.

[frozen matrix]

can someone please help

[lone heart]

@frozen matrix Has your question been resolved?

[severe sluice]

just... uh, separate this into parts and do integrals over each part?

[frozen matrix]

I did for likf

3 times

used calculator

still says its wrong

the big part is 6859/6

left part 59/6

right part 104/3

its just not accepting

and I have no idea what im doing wrong

left?

ugh im not sure

[severe sluice]

wait no

that's correct

[frozen matrix]

oh wait its wrong

is it 92/3?

ughhhhhhhhhhhh

I dont get it

[severe sluice]

i mean

you can just do

$-\int_{-10}^{-9} 90-x^2+x \dd x$

[ocean seal]

Kagna Gang Advocate Adavocowana

[severe sluice]

, w$-\int_{-10}^{-9} 90-x^2+x \dd x$

[frozen matrix]

-10 -9?

I was talking about right part

[severe sluice]

oh

[frozen matrix]

I found it 59/6 I think

but the right part

I did integral of 100-x2 from 10 to 12

minus 12

[severe sluice]

wait
why 12?

it's 10 to 11, i think?

[frozen matrix]

oh

god f

ur right

[lone heart]

@frozen matrix Has your question been resolved?

Channel closed

Closed by @frozen matrix

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.

[strong hornet]

anyone know how i might go about verifying this?

[strong hornet]

ive tried

changing sec2x

to

1/cos^2x-sin^2x

and 1/2cos^2x-1

but

idk how to bring the things to the numerator

[pine kettle]

Start from the right side

Turn cot into 1/tan

You will then get a pythagorean identity

[strong hornet]

i have to go from the left

and prove it is equal to the right

[pine kettle]

...

Start from the right side anyways lmao

[strong hornet]

oh ok lmao

ill try

and then do i just work backwords

to prove it fromt he left

[pine kettle]

I wouldn't

I would just prove it from the right if you can't prove it from the left

[strong hornet]

alright

thanks

[pine kettle]

But yes

[strong hornet]

lemme give it a try

[pine kettle]

Do work backwards after

So you know how to go from left to right

It is good practice

[strong hornet]

right

hmm

i ended up at

cos(2x)/sin^2xcos^2x

idk what happened

i just tried a bunch of things

here’s my working

i tried to make a cos2x

because of how 1/cos2x= sec2x

but idk how to get rid of this sin^2xcos^2x

@pine kettle

[pine kettle]

I'm going to try and get Notability on my personal iPad so I can work this out

[strong hornet]

ah okay

thank you so much

sorry for bothering you btw

[pine kettle]

It's okay

I enjoy helping others

[lone heart]

@strong hornet Has your question been resolved?

[lone heart]

@strong hornet Has your question been resolved?

[lone heart]

Channel closed

Closed by @strong hornet

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.

[boreal sedge]

A small jar contains 41 dimes and quarters. The value of coins in the jar is 6.65. How many quarters are in the jar?

[boreal sedge]

A small jar contains 41 dimes and quarters. The value of coins in the jar is 6.65. How many quarters are in the jar?

How can I set this equation up for elimination?

[vale wigeon]

have you written down the equations themselves yet?

before you do any algebraic shit you need something to do said shit on

@boreal sedge

[boreal sedge]

yeah yeah i know and I cant figure out what the equations are

[vale wigeon]

okay so you should have begun with that

rather than jumping straight to pure algebraic techniques

[boreal sedge]

i have 6.65=10x+25y so far

[vale wigeon]

what's x and what's y?

[boreal sedge]

x is the dimes and y is the quarters

[vale wigeon]

x is the number of dimes, and y is the number of quarters

okay then your equation as written is wrong

[boreal sedge]

ah

[vale wigeon]

the left-hand side is (presumably) in dollars while the right-hand side is in cents

so what's up with that?

[boreal sedge]

right uhh

i meant 10 cents and 25 cents

6.65=0.10x+0.25y

[vale wigeon]

that's more like it.

so that's the equation describing the total value of your coins.

there's one more equation to be written down.

[boreal sedge]

right and it includes the amount of coins

I thought it was just 41=x+y but surely not

[vale wigeon]

why do you think it isn't 41=x+y?

[boreal sedge]

mainly cause my brother said it was wrong

[vale wigeon]

and is your brother 100% infallible?

[boreal sedge]

probably not

[vale wigeon]

did he explain in any way why he thinks you're wrong, or did he just say it outright and act hostile to you over it?

[boreal sedge]

just told me it was wrong

i'll assume it's the correct equation?

[vale wigeon]

well yes, it's your brother who is in the wrong here

[boreal sedge]

yeah

so after i have them lined up

0.10x+0.25y=6.65

x+y=41

[vale wigeon]

yes

now you can solve this system of equations in whatever way you like

unless you have been explicitly instructed to use some particular method in which case follow said instructions

[boreal sedge]

yeah i have to use elimination

so ill multiply by 10 on the bottom equation

[vale wigeon]

the bottom?

[boreal sedge]

the x+y?

[vale wigeon]

why not the top, and why not by 20? that way you get rid of all those decimals.

i mean, if you want to make your own life unnecessarily difficult and the numbers unnecessarily big, then by all means feel free to do so.

[boreal sedge]

haha preferably not

okay fair

so i multiply by 100 on the top to make them into whole numbers

well that doesn't really help me much

uhh

[vale wigeon]

if what you're doing doesn't help you much, then why not heed some of my suggestions?

[boreal sedge]

ok

top by -10

[vale wigeon]

you multiply the top equation by -10 on both sides, and get what?

[boreal sedge]

no wait i want the bottom to be by -10

that way i can subtract them

[vale wigeon]

it sounds like you're not listening to my suggestions at all

the way you're trying to do something completely different in what i can only describe as flopping around like a fish washed up on shore

do you want to solve the problem or do you want to keep floundering?

[lone heart]

@boreal sedge Has your question been resolved?

[vale wigeon]

oh they left lol

.close

[lone heart]

Channel closed

Closed by @vale wigeon

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.

Channel closed

Closed due to the original message being deleted

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.

[rich basin]

could someone please try (a)

[lone heart]

@rich basin 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.

[fast zenith]

can someone help me with this qus

[chrome salmon]

Did you try anything

[vocal edge]

add em and remember x=r cos(theta)
y=r sin(theta)

[rich basin]

can someone please try the problme i had, it is really similar

(a)

[fast zenith]

nope dont know what to

[fast zenith]

what do u mean?

how does that eliminate theta

[vocal edge]

Eliminate usibg cos(theta) =x/r

[fast zenith]

why make that substitution tho

[lone heart]

@fast zenith Has your question been resolved?

[vocal edge]

that's the formula for going from polar to cartesian or vice verse

[fast zenith]

oh i havent learnt that

[vocal edge]

@fast zenith something like this?

[lone heart]

@fast zenith Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[misty bobcat]

Let $R$ is a reflexive and transitive relation on a set A. Prove that relation $R \cap R^{-1}$ is a relation of equivalence on $A$. Denote $\mathcal{S}$ partition of set $A$ induced by relation $R \cap R^{-1}$ and we define on a partition S following relation:
$$
\preceq={(X, Y) \in \mathcal{S} \times \mathcal{S} ;(\exists x \in X)(\exists y \in Y) x R y}
$$
Prove that $\preceq$ is a partial order on a set $\mathcal{S}$.
Note.\Relation $R$ is reflexive and transitive on a set $\mathbb{Z}$, but it is not a partial order. This task basically describes general manual, how it is possible to get partial order from this kind of relation. In this case it means that numbers $a,-a$, which impair asymmetry, we will consider them as same and will will use them.

[ocean seal]

Michal

[misty bobcat]

I have already proved that R intersection R^-1 is and equivalence relation, but i dont know how to solve second part of the task.

[vale wigeon]

which part of the definition are you having trouble verifying?

[misty bobcat]

$$
\preceq={(X, Y) \in \mathcal{S} \times \mathcal{S} ;(\exists x \in X)(\exists y \in Y) x R y}
$$

[ocean seal]

Michal

[misty bobcat]

Prove that this is a partial order.

[vale wigeon]

which part of the definition of a partial order are you having trouble verifying?

refl, antisym or trans?

[misty bobcat]

basically all

[vale wigeon]

prove that for all $X, Y, Z \in \mathcal S$:
\begin{itemize}
\item $X \preceq X$
\item $X \preceq Y, Y \preceq X \implies X = Y$
\item $X \preceq Y, Y \preceq Z \implies X \preceq Z$
\end{itemize}

[ocean seal]

Kanga Gang Annihilator Ann

[vale wigeon]

i think it's just a matter of writing out the definitions

[misty bobcat]

ok I will try

[vale wigeon]

maybe it will help if you first show \preceq can be defined in a different but equivalent way, with both \exists replaced with \foralls

[misty bobcat]

REFLEXIVE:
$\forall$ X: [X$\in S \implies (X,X)\in \preceq$]

[ocean seal]

Michal

[vale wigeon]

do you insist on writing $(X,X) \in \preceq$ and not $X \preceq X$?

[ocean seal]

Kanga Gang Annihilator Ann

[misty bobcat]

it does not matter to me

i dont know what to do with a definition of reflexivity

[vale wigeon]

you are supposed to show that your preceq satisfies it

take an arbitrary equivalence class of R cap R^-1, call it X. is it true that there exist x and x' in X such that x R x'?

[misty bobcat]

REFLEXIVE:
$\forall$ X: [X$\in S \implies (X,X)\in \preceq$]
\X is equivalence class of $R\cap R^{-1} \implies R\cap R^{-1}$ is a relation of equivalence, hence for $x\in R\cap R^{-1}$ holds that $xRx$ .

[ocean seal]

Michal

[misty bobcat]

something like that ?

@vale wigeon

[vale wigeon]

you're kind of overcomplicating it i think

but yes

[misty bobcat]

ok, im going to try other properties

[lone heart]

@misty bobcat Has your question been resolved?

[misty bobcat]

@vale wigeon what about this ?

[vale wigeon]

it's antisymmetric not asymmetric

[misty bobcat]

yes, typo

[vale wigeon]

and this is not correct as written

for transitivity:

from X preceq Y you get x in X and y in Y such that xRy and from Y preceq Z you get y' in Y (different than y) and z in Z such that y'Rz

however because y and y' are in the same eq class of R cap R^-1 you get y R y'

thus x R y R y' R z

[misty bobcat]

thus x R y R y' R z ?

i dont get the notation

@vale wigeon

[vale wigeon]

x R y, and y R y', and y' R z

[misty bobcat]

Hmm that's weird

[misty bobcat]

And asymmetry is ok ?

[vale wigeon]

no

[misty bobcat]

So I should also make the y'

And x'

[vale wigeon]

you should start by taking two arbitrary elements x and y in X and Y respectively and showing that x R y & y R x

[misty bobcat]

But that's what I did. Or not ?

[vale wigeon]

no, you just asserted it outright

you have from X preceq Y that there exist x' and y' with x' R y'

and you have from Y preceq X that there exist x'' and y'' with y'' R x''

x, x' and x'' are all in the same equivalence class

as are y, y' and y''

x R x' R y' R y

and y R y'' R x'' R x

and that well give you your goal

[misty bobcat]

And what about the note mentioned in excercise ?

About the a and -a elements

[vale wigeon]

no clue about that tbh

was this about some earlier exercise?

[misty bobcat]

Not

[vale wigeon]

maybe you could send a picture of the exercise as it appears in your book?

[misty bobcat]

It's just about that R is reflexive and transitive on set Z. And elements a and -a impair asymmetry.

It's not in English language...

I translated it

[vale wigeon]

ok well something is clearly getting lost in translation! because i have no idea where Z even came in until now!

[misty bobcat]

I dont get it too

its weird

okay, thanks a lot

.close

[lone heart]

Channel closed

Closed by @misty bobcat

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]

it's about infinte geometric series

and basically my thinking is 1/2 = 0.5 and the formula for a infinte geometric series is u sub 1 divided by 1 - r

so it would be 0.5 divided by 1-0.5

which is 1

but the answer key says it's 1/3

<@&286206848099549185> sry for pinging a bit earlier then i'm supposed to but i really need to go to sleep

[gray isle]

what's your r?

[alpine sable]

i'm fairly sure it's 0.5 right? cause it bounces 0.5 to 0.25 to 0.125

[gray isle]

no

the flea is moving left and right

[alpine sable]

yeah?

i'm not getting it how would it moving left to right affect r?

[gray isle]

it would affect the signs of your summands

[alpine sable]

i do not know what a summand is

[gray isle]

term being added

the r you used and what you calculated would be what would happen if the flea only jumps right

[alpine sable]

so then r is -0.5?

[gray isle]

yes

[alpine sable]

ohhhhhhh

wait yeah that makes sense when i put it on a number line

thank you for the hlp

.close

[lone heart]

Channel closed

Closed by @vague portal

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.

[peak iron]

Hey, how to prove that the determinant of a skew-symmetric matrix of size n is 0 if n is odd? Thanks

[vale wigeon]

look at the charpoly tbh

[peak iron]

hi Ann

what is the charpoly?

[vale wigeon]

characteristic polynomial

[peak iron]

thanks

from A=-A^T I don't know what I can conclude on the charpoly...

[lone heart]

@peak iron Has your question been resolved?

[vale wigeon]

$p_A(\lambda) = \det(A - \lambda I) \ = \det(-A^T - \lambda I) \ (-1)^n \det(A^T + \lambda I) \ = -\det(A + \lambda I) \ = -p_A(-\lambda)$

[ocean seal]

Kanga Gang Annihilator Ann

[vale wigeon]

so the charpoly as a function is odd

[peak iron]

ahh

Thanks a lot!

I'm unsure about smth, how do you formally conclude, from the fact that the charpoly is an odd function, that determinant is 0 if n is odd? 😅 I kinda see why but I don't know how to say it formally

[vale wigeon]

p_A(0) = det(A)

and from oddness you get p_A(0) = 0

[peak iron]

I see, thank you!

p_A(0) = det(A)
I didn't see this formulated like this in my book, is this a consequence of something?

[shell widget]

if u plug in lambda = 0 in the equation p_a (lambda) = det(A - lambda I), you get p_a (0) = det(A - OI) = det(A)

[peak iron]

thanks 👍

[shell widget]

Thank Ann(again) 🙂

[chrome salmon]

Dbout

[vale wigeon]

0I, not OI

[lone heart]

@peak iron Has your question been resolved?

[peak iron]

Ann I got another question xD

we want least-squares solution, but they say: z(1) has to be an exact value, z(1) = 1.5 instead of "normal" least-squares

and they ask: "what does it change to the problem? what are the parameters to be determined?"

[vale wigeon]

hm.

well i suppose this lets is express one of the coefficients (alpha, beta, gamma) in terms of the other two

and then do what looks like ordinary least squares

[peak iron]

how would you do that?

whoops sorry I forgot to desactivate the ping

[vale wigeon]

alpha * f(1) + beta * g(1) + gamma * h(1) = 1.5

isolate one of the greek letters as you normally would

just basic algebruh

[peak iron]

thanks 😅 that's true

[chrome salmon]

Isn't taking determinant of A and -A^T enough here

[peak iron]

what do you mean?

and btw last question:

how to find this with QR?

[chrome salmon]

I mean starting from det(A) = det(-A^T)

[peak iron]

(theta_2 just means parameters)

[peak iron]

hmm

how would you do that?

[chrome salmon]

Determinant of a matrix and its transpose are

Not equal?

[peak iron]

you mean -transpose

[chrome salmon]

Is saying det(A)=det(A^T) true?

det(A) = det(-A^T) = (-1)ⁿ det(A^T)
So first check if what I asked is true then you can continue from here

[peak iron]

ahh I think you're right

[peak iron]

lemme check

[chrome salmon]

(-1)ⁿ becomes -1 as n is odd

[peak iron]

yes it is correct

[peak iron]

so if -detA = detA then detA=0?

[chrome salmon]

What do u think?

[peak iron]

yes

I'm just asking whether it's your argument haha

[chrome salmon]

Argument?

[peak iron]

nah forget
thanks!

[chrome salmon]

What's the meaning of argument?

[peak iron]

like your proof

[chrome salmon]

My proof?

I think I may be bren ded

[chrome salmon]

Is this oll?

What's y_i and z~

[peak iron]

nah np 😂

[peak iron]

it's here

[peak iron]

^

[chrome salmon]

No y_i on it

[peak iron]

z(x) = y

[chrome salmon]

Ok so you must've tried something by now

[peak iron]

yeah

first how do you write it as Ax=b?

I have an idea but unsure

[chrome salmon]

What does your "it" refers to?

You have to find z~ first right

[chrome salmon]

First you have to get answer for this question then use it in the question you sent now

[peak iron]

yeah but I mean how to use QR for least squares in general?

[ocean seal]

it's Sam

[peak iron]

yeah

anyways thanks I think it's okay

[lone heart]

@peak iron Has your question been resolved?

Channel closed

Closed by @peak iron

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.

[royal patrol]

How do I find the equation of the curve

I know it has roots -1 and -4

[celest acorn]

fourteen x 4

ez

thats how i see it

[royal patrol]

What do you mean?

[celest acorn]

nvm

[lone heart]

@royal patrol 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.

[pearl musk]

how’d we get this?

[urban pine]

,tex

(a - bi)(c + di) \\
&= ac + adi - bci + bd \\
&= (ac + bd) + (ad - bc)i

[ocean seal]

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

[late bridge]

this channel is in use already

[urban pine]

,tex

(a + bi)(c - di) \\
&= ac - adi + bci + bd \\
&= (ac + bd) + (bc - ad)i

[ocean seal]

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

[bleak ridge]

[lone heart]

@pearl musk 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.

[alpine sable]

is this correct?

[lone heart]

@alpine sable Has your question been resolved?

Channel closed

Closed by @sturdy nymph

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.

[peak coral]

I know how to do a question like this when the differential is = say t^2 - t + 2 or something

But I’m not sure how to do it when it = sin

Feel free to ping

[lone heart]

@peak coral Has your question been resolved?

[peak coral]

<@&286206848099549185>

Can someone help lol

[raven rivet]

hi luke, i dont wanna seem rude but ill try to be honest...what u posted doesnt feel like an interesting problem at all. it looks like one of those trivial easy exercises you can solve only by understanding the question and applying basic formulas.

i really hope you don't take this in a bad way. but i just wanted to tell the truth

at some point, it might be time for you to work and stop relying on people on discord servers. we won't be here to help you with your 1st grade questions in exams for example. you will have to count on yourself, but unfortunately that is not smth you're particularly used to.

this is not meant to offend you at all. sorry if it did, just tell me and i'll delete it

[raw shard]

@peak coral https://tutorial.math.lamar.edu/Classes/DE/UndeterminedCoefficients.aspx

@raven rivet if your message is somehow serious, i’m in the help channels all the time and i’ve never seen this person, so i have no clue what you’re talking about

[lone heart]

@peak coral Has your question been resolved?

[raven rivet]

i do have a clue

[peak coral]

Ahahahahaha sounds rather passive aggressive bud, this is the first time I’ve asked a question in maybe a month

If you have such a fine grasp of differentials do you care to explain or point me in the direction of how it’s done?

I’ve literally explained I understand how to do do these types of questions and the exchange of real number t variables to trigonometry has thrown me off but label it as “1st grade exam questions” all you want

<@&268886789983436800> is this really the type of people that represent this sub?

[tall wing]

this is not acceptable

[peak coral]

And thanks @raw shard for actually pointing me to something I can use to better my knowledge

[dreamy cedar]

Hurb

Muted

[tall wing]

Apologies for their rudeness. We try not to encourage people like this on the server; thanks for letting us know about them.

[peak coral]

No worries lol, couldn’t tell if it was a troll or not considering he seems to believe I rely heavily on this discord to get my degree

[peak coral]

Don’t know if you know how to solve them or just found the correct notes for it @raw shard but I’ve had a go at it now, I applied the quadratic formula and got -2+-2j which I applied to the homogenous formula and got

e^-2t(c1cos2t+c2sin2t)

[raw shard]

somehow i didn’t even think to ping the mods, oops

[peak coral]

Which leads me to believe it’s the second option and the value of a1 is -2

No problem was just taken a back a bit when I saw that response hahaha

[raw shard]

i’ll try it myself really quick if you have a few minutes

same lol

still convinced that person is a well written troll or something

[peak coral]

Yeah I’ve got time just doing maths tonight

Thanks

[raw shard]

i have to do something really quick, so it will be probably an extra 2 minutes

i’ll ping you when i’m done

[peak coral]

No problem at all, thanks a bunch

[raw shard]

@peak coral i’m asking because it looks a bit weird, but does that say 1*sin(3t) on the right?

because there seems to just be a space between the 1 and the sin(3t)

[peak coral]

Yeah i think its just how the software enters it

I just used sin(3t) I don’t think the 1 is there for any particular reason

[raw shard]

so far i have something in terms of sine and cosine, so i’m not sure if i’m doing it wrong or something else

because i did solve the homogeneous version of the DE

[peak coral]

Ah ok, well my final answer was the one that included sine and cosine so hopefully that’s the right way of doing it?

That’s what I finished with if it’s any help

[raw shard]

does it even ask for us to solve the nonhomogenous equation

i got the same thing

[peak coral]

Says by solving the homogenous equation however I didn’t think there was one as it’s got to be nonhomogenous as it’s using imaginary numbers no?

I’ll send the full question incase it’s any help

[raw shard]

ok

[peak coral]

The bits with blue are just me guessing answers I’ve not finalised anything yet and am going to change them

I’d assume the first can only be B and the next question where it’s asking for alpha 1 and 2 I’d leave alpha 2 empty and alpha 1 would be -2

[raw shard]

yeah the answers they put are something from a DE with real solutions

i guess let’s just focus on the stuff we know we can do

[peak coral]

Ah, so there’s real solutions for this?

[raw shard]

or we know they have right

no

[peak coral]

I’m confused then hahaha

[raw shard]

,w x^2+4x+8 = 0

[ocean seal]

Results provided by WolframAlpha

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

Requested by quantum#6320

[peak coral]

Yeah that’s what we both got I assume ?

[raw shard]

these are the characteristic polynomial roots

yeah

[peak coral]

Alright, and from that and our nonhomogenous identity id assume it’s the second option? Even tho it’s not exactly the same

[raw shard]

the sine isn’t being multiplied by t

ugh this question terrible, at least the answers are

although i assume A and B are numbers

[peak coral]

Yeah I did wonder why A didn’t have a multiple of t however none of the other answers make sense?

[raw shard]

well it’s up to you at this point lol

[peak coral]

Typical university questions

[raw shard]

since your guess is as good as mine, and it’s your work

[peak coral]

Well are you familiar with solving particular solutions at all?

As I can show you what I’ve done for that even tho my handwriting is awful

It’s everything to the right of the line if it’s even readable

[raw shard]

i’ve done it before, i don’t exactly remember though so i have a page open to help

so i can do it

[peak coral]

Cheers

[raw shard]

@peak coral i got $\frac{-1}{145} \cdot (12\cos(3t)+\sin(3t))$ for the particular solution

[ocean seal]

quantum

[peak coral]

Oh, I must’ve done something wrong then?

[raw shard]

@scarlet cargo #❓how-to-get-help

yeah you did, i even put it in wolfram alpha and mine was correct

<@&268886789983436800>

[peak coral]

Lord almighty that’s some question

[sly mantle]

@scarlet cargo dont troll

[raw shard]

just mute them already

they aren’t gonna get better

[sly mantle]

ok their historys all trolling

[peak coral]

How did u manage to put it into wolfram to get an answer?

[raw shard]

ban is good too

[sly mantle]

we try not to be so trigger happy on mutes

had to take a sec to see their history

[raw shard]

just ask for the solution to a specific differential equation

like

[peak coral]

I’m not good using the bot tbh lol

[raw shard]

,w solution to y’’ = ln(x)+sin(x)

this is gonna be bad

well that didn’t work

[ocean seal]

Results provided by WolframAlpha

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

Requested by quantum#6320

[raw shard]

what have i done

anyways you probably get it

,w solution to t*y’+cos(t)y = 3y

[ocean seal]

Results provided by WolframAlpha

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

Requested by quantum#6320

[raw shard]

this looks very cursed

[peak coral]

Ah you guys do it in this American way with y” instead of d^2x lol

[raw shard]

anyways those were just two examples

nah

[peak coral]

That’s what it was I was confused at the difference

[raw shard]

we do it the same

[peak coral]

Oh?

[raw shard]

just different notations

[peak coral]

Oh right I see