help-26

[tawdry yoke]

I really don’t have time to keep typing this

I need to hurry up and finish no offense

[neon iron]

cos(41.2) = -8/c

yess

good

[tawdry yoke]

This quiz I have is about vectors

It’s hard

Honors physics

I am scared

So

[neon iron]

i wont know if you are correct if you just give me the answer with no working

[neon iron]

but good

[tawdry yoke]

Ik

Alr so are these answer correct

[neon iron]

instead H just use c

[tawdry yoke]

All of the last three

[neon iron]

the rest is fine

[tawdry yoke]

Ok

[tawdry yoke]

Ok

[neon iron]

good job

[tawdry yoke]

But look

[neon iron]

what

[tawdry yoke]

They are different

The answer key different

This is the whole reason why I am here

[neon iron]

you got -10.6

[tawdry yoke]

Yea

It’s correct

But it’s says diff on answer key

And look at angle answer key

See what I mean

[neon iron]

cos(41.2) = -8/c

[tawdry yoke]

This makes no sence

[neon iron]

right

[tawdry yoke]

?

So who’s wrong

Me or my tech

[neon iron]

is this correct

[tawdry yoke]

Yes

[neon iron]

so c = -8/cos(41.2)

and what does your calculator give you

[tawdry yoke]

-10.6

This is so weird

And stupid

Teacher must be wrong

[neon iron]

let me verify your prev answer

the angle you got

[tawdry yoke]

Ok

[neon iron]

your angle is correct 41.2

[tawdry yoke]

Ok so teacher is wrong on all three

I have been doing this for 2 hours

And teacher is wrong

[neon iron]

this is correct too

[tawdry yoke]

So teacher wrong

[neon iron]

idk but your teacher will show the working when you're revising

your answers are correct to me

[tawdry yoke]

Yes teacher wrong

Maybe

Let’s continue please

This is taking to long

[neon iron]

what next?

[tawdry yoke]

.close

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[main valley]

Someone pls help me with this I don't wanna lose my streaakkk

[frail dove]

What have you done so far?

[main valley]

nothing idk where to start

[frail dove]

Set the length as l and the width as w, you should get 2 equations from this

[main valley]

equations?

[steep ibex]

Do you know the equation of the area of a rectangle?

[main valley]

no

[frail dove]

I.e. the formula of the area of a rectangle

[steep ibex]

They just said they don't know the formula

[frail dove]

I thought they might recognize the area formula instead of the area equation

[main valley]

A= l x w?

[frail dove]

Yes

[frail dove]

Equations are bascially something like 3x=18 or x=y+3

[main valley]

ok

wat do I do about the raito thing

[frail dove]

19:3 is equal to 19/3

And the ratio length to width is just l:w=l/w

[main valley]

So I just put in 19 and 3?

[frail dove]

No, you also got to make sure that lw=228

Do you know about substitution?

[main valley]

I don't think so

[frail dove]

Plan B

Do you know how to solve l/w=19/3 for l?

[main valley]

no

[frail dove]

So we know that the length is a multiple of 19 and the width is a multiple of 3 since that can make them in a ratio of 19:3

[main valley]

yep

[frail dove]

So we know that the area (228) is a multiple of 19 times 3=57 from the area formula

Also let's say that l=19x and w=3x

[main valley]

ok

[frail dove]

So the area is 57x^2

Then do you know how to solve for x?

[main valley]

I'll try

I figured it out thx

.close

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[vale fern]

what am i missing?

[elfin sparrow]

"vertical tangents"

[jade thunder]

It has a tangent

It’s just not differentiable

So there’s a slight difference there

[vale fern]

oh i see

its 2

got it thank you

[elfin sparrow]

yeah, awesome 👍

[vale fern]

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[halcyon willow]

isnt constant integration 0?

[halcyon willow]

why is that -1 becoiming -x?

[neon iron]

because it’s the integral?

the -1 is essentially

-1x^0

[halcyon willow]

nvm i mixed it up with derivative

[neon iron]

so it’s -1x^1

[halcyon willow]

.close

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[neon iron]

<@&286206848099549185>

[topaz sinew]

Please don't occupy multiple help channels.

[neon iron]

.close

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Remember:
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[neon iron]

cqn anybody help me get ready for my test tmrw

[noble laurel]

<@&268886789983436800> See users recent message history

[noble laurel]

!noclopen

[topaz sinew]

Please don't repeatedly close and claim a new channel with the exact same question. This erases all previous progress made towards your problem, and is confusing for helpers, making it more difficult for them to answer your question. We ask you to please be patient, even if your channel has not received much attention. If you are having a problem with a helper, please report it to <@&833154869451292722> rather than closing the channel and attempting to seek out another helper.

[neon iron]

@sand pine

cqn anybody help me get ready for my test tmrw

It is algebra 1 and I need to review each question

[devout creek]

Sorry but how old are you again?

[neon iron]

14

[devout creek]

Okay

[neon iron]

freshman

[noble laurel]

Vulcan they are just trolling

don't waste your time

[neon iron]

bro im not

[noble laurel]

look at their message history

[neon iron]

why do u keep doing this

[noble laurel]

they've opened and closed about 10 channels for this

ignoring all warnings

[devout creek]

Damn

[winged moat]

People actually troll on a Discord server designed to help others?

Some people really do have too much free time

[neon iron]

NO

im not trolling

[worthy storm]

every single day there are trolls, spammers, etc

[neon iron]

What is all this

If I’m trolling

[noble laurel]

If you're seriously not trolling then you need to take a good look at #rules and #❓how-to-get-help and stop ignoring everyone who gives you warnings.

[neon iron]

ok so basically stay in one channel the whole time and don @ helpers if its not been 15 min

[noble laurel]

and wait patiently

and clearly explain your question

and where you are stuck

don't send 10 questions at once

send 1 that you need help with

and explain how and why you need help

[neon iron]

ok i got it

can somebody help me review my test i mainly need help on numbers 4-10 it is algebra 1 math soliving compound inequalitys and inequalites

[worthy storm]

what part of "send 1" wasn't clear?

focus on one problem

no one wants to help you with like ten questions

[noble laurel]

what part of this is confusing you

[neon iron]

sorry man im hella stressed for this test cause report cards are comin on friday and i have to pass this test so i could get up to an A

[noble laurel]

that doesn't answer the question

and it doesn't help anyone help you

[neon iron]

well i put one question

[noble laurel]

and I said

"what part of this is confusing you"

[winged moat]

I think they are trolling.

[neon iron]

Bro can someone pls just help me with just one problem

U keep saying I’m trolling

[noble laurel]

No

I keep saying

"what part of this is confusing you"

[winged moat]

Well, if someone asks you what you don't understand and you don't reply back with the answer then we have nothing to think but that you are trolling

[neon iron]

nothing i did eveything u said

[noble laurel]

obviously I am referring to the question you posted

[worthy storm]

putting it another way: explain where you are stuck

[noble laurel]

which I also already told you to do earlier

[neon iron]

i am stuck at the equation number 5 and six

[noble laurel]

you sent problem number 4

One. Problem. At. A. Time.

[noble laurel]

What is confusing you about that question?

[neon iron]

I don’t understand what I am doing wrong can I solve it and could u tell me what I did wrong

[noble laurel]

I can't actually because your work is illegible

[neon iron]

No I am gonna do it again

What do I do after this step

[topaz sinew]

@neon iron Has your question been resolved?

[worthy storm]

well 12 - 1 on the right hand side looks like a good candidate for simplification

[topaz sinew]

@neon iron Has your question been resolved?

[topaz sinew]

Channel closed

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[topaz sinew]

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Send your question here to claim the channel.

Remember:
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• 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.

[vocal escarp]

so i was watching a certain anime

[vocal escarp]

and saw this problem

the answer is just 2 or is there a second answer as well?

[drifting swift]

$\sqrt{4a^2 - 4a + 1} + |a+4| = a+7$

[thorny flame]

Ann

[drifting swift]

...can you translate the Japanese in the pic?

[vocal escarp]

oh its my fav helper, ah no i can't but its prolly asking for the value of a

[drifting swift]

k

can spot right away that $\sqrt{4a^2 - 4a + 1} = |2a-1|$

[thorny flame]

Ann

[vocal escarp]

yup i mean i got one answer

i mean carry on

[drifting swift]

ok familiarity check

do you know what |these bars| denote

[vocal escarp]

yup like +- right?

[drifting swift]

no

[vocal escarp]

so one time the equation gets positive and the 2nd time it gets minus multiplied on right side?

[drifting swift]

auauhgghghhh

no

thats

no

[vocal escarp]

ouch

[drifting swift]

thinking of $|x|$ as $\pm x$ is bad bad

[thorny flame]

Ann

[drifting swift]

|x| is one number not a superposition of two

anyway you might want to review or learn the topic of "absolute value equations" for this. otherwise i could post a full solution of this problem but it wouldn't make much sense to you

however this equation does have a second solution: a = -1

[vocal escarp]

how so

also

if u can see

[drifting swift]

i can but i don't enjoy it much

do you just want someone to tell you the answers to these anime math problems to sate your curiosity, or do you want to learn the actual math behind them...

[vocal escarp]

just wanna know the asnwers

[drifting swift]

weh...

i mean we don't do that here. but also might wish to post in #math-discussion or #geometry-and-trigonometry (for that one)...

[vocal escarp]

wait you dont do maths problems in maths? /j

[drifting swift]

this server is to help you learn and not to just give out answers

[vocal escarp]

ah

then i would like to learn the answers

please

might as well start from absolute value

teach me

uwu

?

.close

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[full falcon]

why is the integral of 1dx/(1-x) equal to negative ln|1-x| why isn’t it positive ln|1-x|?

[full falcon]

do u do substitution rule for the negative

[drifting swift]

d/dx ln|1-x| = -1/(1-x)

[full falcon]

like why can’t you just regularly ln it?

[odd pagoda]

chain rule

[topaz sinew]

@full falcon Has your question been resolved?

[topaz sinew]

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[unreal bobcat]

Im confused can someone show me the steps to solve?(Trig problem)

[topaz sinew]

Channel closed

The owner is missing!

[unreal bobcat]

no im not lol

[summer atlas]

familiar with similarity of triangles?

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[topaz reef]

im trying to understand the chain rule here

i cant see it.

[knotty ledge]

For the first part differentiate 1/2 U_t^2 with respect to t

And see what you get

[topaz reef]

that would be (U_tt)_t

right?

[knotty ledge]

Its being squared

So you need to use the chain rule

[topaz reef]

okay so when i multiply U_t with U_tt its making a squared (U^2_t)_T?

[knotty ledge]

No I'm asking you find the derivative with respect to t of $\frac12 U_t^2$

[thorny flame]

ΣΑCu

[topaz reef]

thats gonna be u_tt right?

because the two comes down

or would it be U_t*Utt

[knotty ledge]

Youre ignoring the chain rule

Yes

And see that exactly what appears in the line above

So they just undid the chain rule to go from second line to third line (atleaat for the first term)

Second term is similar

[topaz reef]

yeah its the norm so its just the same thing

can i ask another dumb question

whats going on here?

is this like doing a dervative under the integral?

[knotty ledge]

I have no idea I don't know what this is or what it's for

These manipulations had nothing to do with the integral

[topaz reef]

alright, its the wave model of a membrane of some abrbitary space

with certian boundry conditions

it seems to be setting it up to do the dervative in the next step maybe

[knotty ledge]

No derivatives were actually done, we just rewrote an expression as the derivative of something

Well unfortunately I cannot see the next steps

[topaz reef]

wait if you wanna see i can send it

[knotty ledge]

I mean generally if you wanna ask someone about the overarching goals of a series of equations, being able to see the whole thing in context is a must

[topaz reef]

my phones sending my notes now

its pretty hard to read so dont stress too much

you helped me understand what was going on with that step so thank you 🙂

[knotty ledge]

Right yeah in the very next line you interchange the derivative and the integral

That's why they wanted to write the stuff inside the integral as the derivative of something

[topaz reef]

okay yeah, any idea what happend to the 1/2?

[knotty ledge]

Times both sides of the equation (which you forgot to include the latter half of above) by 2

[topaz reef]

this is notes i was taking 😛

during class lol

you multiply it by 2 because of the chain rule right

[knotty ledge]

No you have 1/2 * something = 0

That means something = 0

[topaz reef]

AH OKAY

Man i owe you a beer

thank you so much

[knotty ledge]

Yeah you just didn't write this^ = 0

Which confused you

[topaz reef]

thank you i fixed it. teacher goes like a million miles per hour. no lecture notes offered either

so its write it down and try to pay attention

anyways thank you so much 🙂

.close

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• After 15 minutes, feel free to ping <@&286206848099549185>.
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[icy pilot]

I got

• 2x(x^2 + 4) /
• (x + 4) (x + 2)

So I have two vertical asymtotes

why do they only have one

[balmy ruin]

Double check your factoring; $2x^2 + 8x$ should factor into $2x(x+4)$, not $2x(x^2+4)$.

[thorny flame]

@balmy ruin

[icy pilot]

ohh

is that why at -4 there is a hole

not a VA

ok yeahhh I don't why theres an x^2 there lol

@balmy ruin why does putting -4

give you y = 4

2x(x + 4) = -8 * 0?

[balmy ruin]

Since it's $\frac{0}{0}$, we can't look at the behavior at $f(-4)$ directly

[thorny flame]

@balmy ruin

[balmy ruin]

Since $f(x) = \frac{2x(x+4)}{(x+4)(x+2)}$, we can see where the hole is by looking at the simplified fraction $\frac{2x}{x+2}$

[thorny flame]

@balmy ruin

[balmy ruin]

Since that gives us $\frac{-4}{-2} = 2$, we expect that the hole would be located at $(-4, 2)$

[thorny flame]

@balmy ruin

[icy pilot]

Can you explain why we can't look at f(-4) directly

[balmy ruin]

since $f(-4)$ evaluates to $\frac{0}{0}$, it doesn't actually tell us the behavior, since $\frac{0}{0}$ is undefined

[thorny flame]

@balmy ruin

[icy pilot]

I see

will f(hole) always evaluate to 0/0

or can it be like 4/0

[balmy ruin]

It should evaluate to 0/0; something like 4/0 will usually indicate an asymptote

[icy pilot]

why is it at -4, 4 and not -4, 2

[balmy ruin]

Oh huh

I may have made a mistake in my math

Ah yeah, (-4)*2 is -8, not -4

So it should be $\frac{-8}{-2} = 4$

[thorny flame]

@balmy ruin

[icy pilot]

gotcha ok

what about the other points

how did they pick them

did they not put the x intercept

it would be 0, 8

or no its 0,0

whats the y intercept @balmy ruin

[sweet shard]

Do you know the x coordinate in y intercept?

[icy pilot]

yes

but they didn't plot it

I got 0, 3

I went into a new question and they don't plot the y int either

y int at: 5, 0 - not there

[sweet shard]

How did you get 3

[icy pilot]

$$\frac{3( x - 5)}{( x - 5) ( x - 2)} = 0$$

[thorny flame]

geoxcaliber

[sweet shard]

Wait you get two y intercepts?

[icy pilot]

$$\frac{(0+ 3)(0-2)}{0 - 2}$$

[thorny flame]

geoxcaliber

[icy pilot]

another problem..

[icy pilot]

this evaluates to -6 / -2 = 3

0, 3

[sweet shard]

What problem are you asking about then

[icy pilot]

lets go back to this one

why is y int 0, 3 not plotted

[icy pilot]

this

[sweet shard]

This is wrong

[icy pilot]

why

[sweet shard]

Plug in x=0 to f(x)

[icy pilot]

it right here

[sweet shard]

Uh no?

[icy pilot]

and whats wrong with that ?

[sweet shard]

That's the f(x) from the question

[icy pilot]

I was told you can plug-in 0 to either the original or factored expression

[sweet shard]

Where's your factored expression

[icy pilot]

• (x + 3) ( x - 2)
• x - 2

[sweet shard]

...

[icy pilot]

hol

hol up

[sweet shard]

How does that equal the original

[icy pilot]

• 2x(x + 4)
• (x + 4) (x + 2)

is it

my bad ok let me see

[sweet shard]

So plug in x=0

[icy pilot]

0, 0

x intercept is also 0,0 right? both?

$$\frac{3( x - 5)}{( x - 5) ( x - 2)} = 0$$

[thorny flame]

geoxcaliber

[icy pilot]

I want the y int here

whats the procedure

if I multiplied by the denominator

Wouldn't the numerator also get multiplied?

wait nevermind it would cancel then

so its just $$3( x - 5) = 0$$

[thorny flame]

geoxcaliber

[icy pilot]

divide by 3

add five

you get 5, 0

[topaz sinew]

Channel closed

The owner is missing!

[icy pilot]

Why is 5, 0 y intercept not here?

@sweet shard

[icy pilot]

what the hell is this bot

[topaz sinew]

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[neon iron]

I’m confused on how the answer is 1 2/3

I know x is still water and y is current

But maybe the minutes is making me wrong

[rustic cedar]

set a var to Lisa's speed and one to current speed, you've got two equations and two unknowns

[topaz sinew]

@neon iron Has your question been resolved?

[topaz sinew]

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[spiral crater]

i don't get where y = 2x and y = 2x + 1 is coming from

is it asking for the change in instantaneous rates??

???

i guess this server isn't any help

.close

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[clear jay]

Hi there, looking for help with this question https://gyazo.com/72e8bb164ec5b88cd21cdd13f4a11387

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[clear jay]

<@&286206848099549185>

[clear jay]

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[neon iron]

I genuinely don’t know what I did wrong

[neon iron]

#4 btw

[stark sigil]

cab u helps

[topaz sinew]

@neon iron Has your question been resolved?

[neon iron]

?

What’s cabs

<@&286206848099549185>

[neon iron]

<@&286206848099549185>

<@&286206848099549185>

[fallen frigate]

you missed a multiplication by 20 in the 3rd row when plugging in x = 128 - y

[neon iron]

What

[neon iron]

What do I multiply it with

[fallen frigate]

@neon iron

[neon iron]

[fallen frigate]

it happens

now go ahead and try to solve it again

[neon iron]

I got a negative number

-18.666??

I plugged it in and I’m still wrong

[fallen frigate]

y is the number of people who hadn't bought a single ticket type

so you need to divide by 2 when multiplying with 35 (ticket price)

so it should be:
20(128 - y) + 17.5y = 2280

@neon iron

[neon iron]

How would I find y?

.close

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[fallen frigate]

just solve for y

single variable equation

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[glad current]

Hi

[glad current]

I need help with math problem

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[ashen elk]

why do you have to do the

portion in red

isntead of just plugging in -3 into the equartion

<@&286206848099549185>

[restive inlet]

!15m

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[restive inlet]

please don't do that next time as it may ward of someone that would've otherwise helped

[ashen elk]

sorry

[restive inlet]

and way what happens if you try plugging x=-3 into
(sqrt(x+19) -4)/(x+3)

[ashen elk]

you get 0/0

[restive inlet]

yeh, and that's why you can't just plug in x=-3

[ashen elk]

but woudlnt the answer just be that the left limit is

undefined

[restive inlet]

no

0/0 is an indeterminate form indicating more work is needed to determine whether a limit exists or not

[ashen elk]

oh

ok

thank you

i get it now

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[topaz sinew]

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[junior hound]

pls i need help with this questions

im not sure how to approach it

.close

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[pseudo sonnet]

How do I prove that no such subset P can exist?

[pseudo sonnet]

It seems clear to me that no matter what P I try to pick, the trichotomy law cannot be satisfied

but I don't have an idea as to how to show that

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@pseudo sonnet Has your question been resolved?

[pseudo sonnet]

<@&286206848099549185>

[topaz sinew]

@pseudo sonnet Has your question been resolved?

[mortal spear]

Which P's have you picked

[pseudo sonnet]

I've been taking more of a heuristic approach, which is why I can't write anything formal down lol

C looks very similar to the complex numbers so I've been cutting up the complex plane into 2 sections

elements can either be in P or they aren't

but (I think) multiplication by -1 rotates a given point by 180 degrees

so it "mirrors" any element to the other side of the plane

regardless if I chop the plane up cleanly (e.g with 1 line), or make tiny bubbles of P everywhere

it's clear to me that trichotomy won't hold for all elements

[rigid star]

I'm not entirely sure I understand the question, though I'm familiar with most of this. What does a subset have to do with whether C is an ordered field or not?

[pseudo sonnet]

I want to show that I cannot choose any subset P of C such that if z is an element of C

then either

1. z is in P
2. -z is in P
3. z = 0

[rigid star]

Do you mean z is in P?

[pseudo sonnet]

ah yes

mb

[rigid star]

So P is the set of positive numbers, basically

[pseudo sonnet]

mhm

[rigid star]

Okay, I got it

I'm reading here https://math.libretexts.org/Bookshelves/Analysis/Introduction_to_Mathematical_Analysis_I_(Lafferriere_Lafferriere_and_Nguyen)/01%3A_Tools_for_Analysis/1.04%3A_Ordered_Field_Axioms

(since I've never actually dealt this ordered field axioms, I had to look them up)

the one that's going to break is 3d

You're right that this field is the complex numbers

The point is that either i or -i must be in the set P

But then you can take any a<b, then multiply by i, then multiply by i again (or by -i, depending on which is in P)

[pseudo sonnet]

why is this true?

I mean, couldn't I take say P = {i, -i, 121212021031, 0.5}

obviously this won't make C ordered, but still

[rigid star]

Look at 3a

for every x in F, either x=0, x in P, or -x in P

[pseudo sonnet]

ah I forgot about this

So i is in P if and only if -i isn't

[pseudo sonnet]

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[split goblet]

s

[split goblet]

super simple question but i messed up

my original answer was 4 because from may-april, it looked like it sold more than 10 cars halfway through

how do i avoid tis in the future

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[young owl]

Desperate for help

[elfin sparrow]

hey @young owl

what have you tried here

[young owl]

Yo

I tried S(p)=p(50000-2500(p+12))

Then its like blehhh idk rlly

[elfin sparrow]

uhh, wait one sec that's different than what I did but i think it's good

oh yeah not quite, my bad

you've got I think the right idea though

[elfin sparrow]

can you describe what p and S(p) mean here?

[young owl]

S is subscribers

and P is the price of the subscription

[elfin sparrow]

ahh okay, I think we don't want S to represent subscribers

we want a function that models the revenue

not the number of subscribers

and I don't think we want are variable to represent the current price, but rather the amount we increase the price by

Total revenue = (number of subscribers)(price per subscription)

[young owl]

so i should use R

[elfin sparrow]

sure, whatever symbol you want

[young owl]

Hows the other stuff ; the P(50000-2500(p+12))

[elfin sparrow]

Well, I'd try to follow this form

[young owl]

sooo how would i do that

[elfin sparrow]

instead of p, let's use r, for the number of times we've raised the price by $1

then the price per subscription is 12+r

[young owl]

so what 50000(12+r)

[elfin sparrow]

except the price goes down every time we increase the price

so the number of subscribers isn't 50000

but 50000-2500r

[young owl]

Ok so we got R(p)=50000-2500r

[elfin sparrow]

so

[young owl]

set to r(p) to zero

[elfin sparrow]

total revenue = (number of subscribers)(price per subscription)

[young owl]

then solve????

[elfin sparrow]

total revenue = (number of subscribers)(price per subscription)
R(r) = (50000-2500r)(12+r)

[young owl]

mmmm

[elfin sparrow]

Oh, sorry, maybe I shouldn't have used R and r

sorry, you can use a different letter if you want

[young owl]

wait what does the lowercase r represent

[elfin sparrow]

R was the revenue
r is the number of times we've raised the price by $1

[young owl]

ok ima use i

[elfin sparrow]

sure, that's better

[young owl]

So then is it just distribute then zet r(i) to zero

[elfin sparrow]

R(i) = (50000-2500i)(12+i)

no, you want to find the maximum value

you want to maximize the revenue

setting it equal to zero would find the price that makes the revenue zero

[young owl]

oh 🤦‍♂️

[elfin sparrow]

wait quick question

what kind of class is this for?

[young owl]

Honors algebra 2. Im a freshman

[elfin sparrow]

okay gotcha

[elfin sparrow]

so, do you recognize what kind of function this is?

[young owl]

polynomial func

but its like standard form too

idrk

[elfin sparrow]

well yeah it is a polynomial

but what i meant is it's quadratic

it's graph is a parabola

[young owl]

yea

[elfin sparrow]

it's an upside down parabola, that goes down forever

which means it has a maximum point, a top

[young owl]

Ohhhh

[elfin sparrow]

and that's what you're looking for, since the function represents revenue, and you're trying to maximize the revenue

[young owl]

The way I know how to find a max value of upside down parabola is to find like the vertex

[elfin sparrow]

yes, exactly

find the vertex

[young owl]

Ok so i just distribute that stuff

then find the vertex

[elfin sparrow]

sure

do you know like a formula for the vertex?

or something

[young owl]

-b/2a

[elfin sparrow]

yeah that'll work

[young owl]

then plug it in

ya

[elfin sparrow]

yep

your problem asks two questions:
what price should you charge for the highest revenue?
and what is the highest revenue?

[young owl]

Yes

How do I find the first question

because the max value answers the 2nd one right

[elfin sparrow]

yes

[young owl]

Oh yeah the vertex is (4,640000)

right

[elfin sparrow]

yep

so what do those two numbers mean?

[young owl]

would this mean that i should charge 4 bucks?

[elfin sparrow]

what did our variable i mean again?

[young owl]

R is revenue i is the increase

shit no

thats wrong lol

[elfin sparrow]

that's what you said before, yeah

R is the revenue, when we increase the price by i dollars

from the starting point

I accidentally called the increase r for raise, but that was dumb, and you changed it to i

[young owl]

Yeah

[elfin sparrow]

so the vertex is at (i,R) = (4,640000)

[young owl]

so do I plug 4 into the function

or something

[elfin sparrow]

no, what I mean is

4 isn't the price

4 is the amount we increased the price by

[young owl]

OHH

[elfin sparrow]

it's i

[young owl]

SO ITS 16$

[elfin sparrow]

right 🎉

yeah exactly

[young owl]

Thanks thanks thanks so much

Saved my life

God bless you

.close

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[elfin sparrow]

haha no problem 👍

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[harsh light]

can someone help me with my algebra hw

[topaz sinew]

Please don't occupy multiple help channels.

[sweet shard]

[harsh light]

i dont understand this

[sweet shard]

,rotate

[harsh light]

idk what to do and i've been trying to solve it for a while now

[feral ginkgo]

y=y(x[i-1]) - 7
Or idk what recursive stands for in this task really

[harsh light]

whats that formula stand for?

[feral ginkgo]

idk what recursive means in this task/stage you are studying rn

But recursive usually means that a function calls itself

[harsh light]

arithmetic recursive sequences

and arithmetic explicit formulas

[feral ginkgo]

Oh I wish I learnt these stuff in English 😭
Uno momento my friend

[harsh light]

do you speak mainly spanish?

[feral ginkgo]

Nah, I'm Hungarian xd

But these are sequences then

[harsh light]

yes

[feral ginkgo]

Why do they label the horizontal axis with x with sequences dude

Okay then

[harsh light]

honestly idk we didnt go over it in the note

[feral ginkgo]

if the sequence is (a(n)) then a(n)=a(n-1)-7

If n≥2

[harsh light]

and i need a 100 so can can get a 70😭

[feral ginkgo]

Ofc you cant do recursion at the first element

Recursive sequences reference their former elements in their formula

So yeah
Or in your case
f(x) = f(x-1) - 7
Where x is a positive natural number and x ≥ 2

f(x=1) = 18

[harsh light]

if you want i can show you the notes we went over so you know what were going over exactly

[feral ginkgo]

Nah I'm fine with it now

[harsh light]

ok

[feral ginkgo]

That's the answer, it's like the Fibonacci sequence, refers to former element(s)

For the explicit one

[harsh light]

so is that a recursive or explicit

we useally write it like 5n - 2

[feral ginkgo]

Thats recursive

Yeah recursive calls for a former element

[harsh light]

for explicit

[feral ginkgo]

What did you used for sequences? I mean what letter

[harsh light]

and a(n-1)+5

for recursive

[feral ginkgo]

Yeah

So this one is a(n) = a(n-1) - 7
For recursive

Fro explicit you have a(1) and d(difference between elements)

So a(1) =18
d=-7
So a(n) = 18 + (n-1)*(-7)

[harsh light]

dude i actually can thank you enough

i can pass my grade check now

😭 🙏

tysm

[feral ginkgo]

Do you plan to use Maths in further studies? Sequences are really important to understand calculus:)

[harsh light]

yes sadly

im sticking with higher math as i go into highschool

[feral ginkgo]

Wait you study this before highschool

[harsh light]

im in 8th so algebra has been pretty hard

yes

[feral ginkgo]

Oh wow

[harsh light]

honors classes are 1 year ahead

[feral ginkgo]

I'm in my first semester at university, Computer Engineering, let's say that programming and physics isn't the hard part

[harsh light]

so for math english and AM history im in 9th basically

[feral ginkgo]

No problem:)

[harsh light]

it's the math isnt it-_-

[feral ginkgo]

I picked that helper role for a reason

[feral ginkgo]

I have 2 math related classes, 6-6 credits each, only programming is above that with 7

[harsh light]

rly?

[feral ginkgo]

Yeah

[harsh light]

2 math classes seems like a bit much but thats just me

😭

1 is already enough

anyway tysm man i rly rly needed help for this

have a nice day

[feral ginkgo]

Calculus and number theory🙃

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[finite aspen]

how can i solve this?

[spare smelt]

You cannot

But I can

[finite aspen]

ok then do it plz

i dont understand factorization

[raw mirage]

This is the greatest help conversation I've ever seen

[spare smelt]

Alright let's look at x^2 - 16

This is an algebraic identity known as a difference of squares

(x-4)(x+4)

[finite aspen]

so we separate the x^2 into (x)(x)

then we sqrt 16 ?

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[finite aspen]

.close

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[abstract sundial]

Guys, I need to parametizer the portion z^2-x^2-y^2 = 0 between z=1 and z=2

[abstract sundial]

My question is how can I get the values of u and v

[lapis raft]

what are u and v here?

[abstract sundial]

My parametrization is like this
x= u
y= v
z = u^2+v^2

[abstract sundial]

Functions

Its surfaces parametrizations

[lapis raft]

what's the deal then?

[abstract sundial]

Convert the values between the surface in the z axis, to u and v values

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[topaz sinew]

@abstract sundial Has your question been resolved?

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Channel closed

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[mossy merlin]

.close

forgot how to do it

.free

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[cinder oxide]

Is this definition flawed?

[knotty ledge]

Derivative of what?

[cinder oxide]

yes exactly

Context matters I would assume

But why is that?

I would say derivative/integral of x or a constant (I think..)

[brazen ocean]

deriviative of a constant is 0

[knotty ledge]

Not every function differentiates like the power rule

[cinder oxide]

So just x

[brazen ocean]

are you trying to ask what the derivative means?

[worthy storm]

the integral of x^(-1) is not (1/0)x^0

[cinder oxide]

Life would be easier if they did

[knotty ledge]

You should first understand for which functions the power rules apply to before you try and reason anything else with them

[cinder oxide]

So this only applies to polynomials.. not rational functions

[worthy storm]

works for other powers of x, including negative powers, but not for x^-1

[sweet shard]

some rational functions

[sweet shard]

do this avid

but not just some rational functions

[cinder oxide]

Polynomial functions only

[sweet shard]

no not only polynomials

[cinder oxide]

And some rationals

Can you give example of rational?

[sweet shard]

$\frac{d}{dx} \frac{1}{x} = ?$

[thorny flame]

riemann

[sweet shard]

you're doing this all wrong. just read the statement of power rule

[cinder oxide]

But we just stated here

[sweet shard]

we're both trying to tell you why your first post is wrong

there are multiple reasons why it's wrong

[cinder oxide]

Universally for all, it’s wrong

But isn’t it true for power rule only?

[sweet shard]

you'd get to the result faster if you just did this

there's power rule for derivatives and one for integrals, they're related, yes

but you should understand what they say before identifying how they're related

[cinder oxide]

Works for powers only?

With respect to x as the base

[knotty ledge]

Don't guess, research

[sweet shard]

cite your sources

[cinder oxide]

Discord

[sweet shard]

uh

no don't do that

[cinder oxide]

Trying to research isn’t that what this chat is for?

[sweet shard]

you should not be learning math rules from random chats

chats don't always give all the context

[knotty ledge]

This shouldn't be your first port of call for learning something

[sweet shard]

at this point khan academy should be your first resource for understanding
https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-1-new/ab-2-5/v/power-rule

[cinder oxide]

I’m watching Professor Leonard but it takes a while and sometimes specific questions are not brought up. If I can’t find it via Google Image search I will ask

[knotty ledge]

Have a written resource you can always refer to

Like khan academy or Paul's online maths notes

[sweet shard]

khan academy is better suited for basics

[cinder oxide]

https://tenor.com/view/khan-kirk-startrek-william-shatner-yelling-gif-5575846

[sweet shard]

ah yes

https://tutorial.math.lamar.edu/classes/calci/DiffFormulas.aspx

if you prefer to read instead of watching videos

[cinder oxide]

I prefer video, so far Professor Leonard has been the best I have found. Clear explanations, easy to follow, passionate about math, good communicator, funny

Just takes a while to watch them all

[knotty ledge]

Okay but if you're going to come here and ask about something that has a preestablished full definition I.e. the power rule, then you need to have that infront of you

[sweet shard]

you really shouldn't need a whole video to just look up "power rule for derivatives"

[cinder oxide]

I find math textbooks to be like lawyer speak for the most part. Extremely dry, imo making things far more complicated than they should be.

[knotty ledge]

And not play cat n mouse with us where we try n figure out if you've ever even seen the definition of things

[sweet shard]

honestly, get over it

[knotty ledge]

Lawyers speak purposely in a way that is unambiguous, like math texts

[cinder oxide]

https://tenor.com/view/angry-gif-27049375

[sweet shard]

i dont' see what your problem is with these two sentences

[cinder oxide]

But what about integral?

the integral of x^(-1) is not (1/0)x^0

[fallow heart]

No, the integral of 1/x is ln|x| + C

[cinder oxide]

+C is only for indefinite? Or both definite and indefinite integrals

[sweet shard]

again, google it

https://tutorial.math.lamar.edu/Classes/CalcI/ComputingIndefiniteIntegrals.aspx

lamar calc is your friend

use it

[cinder oxide]

To my understanding, +C is technically being applied for both definite and indefinite integrals, it’s just the +C and -C will cancel out for definite integrals

From the (b - a)

[fallow heart]

Yes, this is correct. But I think you are going away from your original question

[cinder oxide]

B is positive C
A is negative C

[cinder oxide]

This question?

[fallow heart]

It's only for indefinite

[cinder oxide]

OK

[fallow heart]

And the reason is this one you wrote

[cinder oxide]

OK

[cinder oxide]

Alright thanks, I have them printed out and will take another look

[cinder oxide]

Is C always the y intercept of F(x) indefinite integral?

[fallow heart]

F(x) could be also not defined at x = 0, so no

[cinder oxide]

Am I misinterpreting this?

[fallow heart]

It says that it CAN be found by x = 0, but that's not the definition

[cinder oxide]

Oh

[fallow heart]

Also, that's why books are better

[cinder oxide]

Sometimes

Do you have an example where C is not the y intercept when x=0?

[fallow heart]

I give you F' = f(x) = x and F(1) = 2. Find F(x)

[cinder oxide]

[0,0]

The y intercept is 0, no?

[fallow heart]

y-intercept of which function?

[cinder oxide]

Oh I thought you gave an example

[fallow heart]

Yes, that's what you asked me

And I gave you the example

[cinder oxide]

What do you mean by f(x) = x?

(0,0)

[fallow heart]

The integrand

Wait, let me change the example

[cinder oxide]

How can it be both 1,2 and 0,0

Are these two examples?

[fallow heart]

So far it's only 1 example...

But please, let me change the example.

[cinder oxide]

What does this graph look like?

Asymptote at x=0?

[fallow heart]

You are asking too many questions, and you're not answering to mine

[cinder oxide]

I give you F' = f(x) = x and F(1) = 2. Find F(x)

I don’t understand it, sorry

I thought you were giving an example where C is not the y intercept when x=0

Like an actual function

[fallow heart]

Well, that's not much different from what prof. Leonard wrote there

[fallow heart]

Yes... you were supposed to find that 😅

I give you F' = 1/x and F(e) = 2. Find F(x)

[fallow heart]

Can you find such F(x)? @cinder oxide

[cinder oxide]

F(x) = x+1?

[fallow heart]

No...

What's the derivative of that? @cinder oxide

[fallow heart]

It's just F' = 1, right? @cinder oxide

But I gave you that F' was 1/x

So that can't be the answer

[topaz sinew]

@cinder oxide Has your question been resolved?

[topaz sinew]

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[gloomy tusk]

I need help with this!! The rotations confuses me and I need help!! Ping me if you can help me.

[fair elbow]

Every 90 degrees you swap the x and y and put the appropriate sign for the quadrant you're in.

[gloomy tusk]

I did that but it said it was incorrect.

[fair elbow]

A = (4,-5) then A' = (5,4)

[gloomy tusk]

Alright

It was incorrect.

Because it was suppose to be 5,3

[fair elbow]

Oh. A = (3, -5). I miscounted the x

[gloomy tusk]

well theres another one

[fair elbow]

all the x's and y's are swapped and all the x's will be positive and y's will be negative

each time you rotate 90 about the origin, you swap the x and y and account for the needed sign given the quadrant you find yourself in

[gloomy tusk]

so D' is (-2,2)?

is this correct?

[fair elbow]

D = (-2, -2) then D' = (2, _2) because in Q IV points are of the form (+, -)

hold on

that's suppose to say D' = (2, -2)

[gloomy tusk]

wait why

[fair elbow]

B' = (6, -7)

[gloomy tusk]

oh its the other way around

this?

[fair elbow]

Your square ends up in Q IV so all your points need to be of the form (+, -)

[gloomy tusk]

so its -y, x

[fair elbow]

Given some (-x, -y) because it's in Q III, after rotating 90 CCW, you end up in Q IV so all your points will be (y, -x)

[fair elbow]

That looks right

[gloomy tusk]

alright

It is right

[fair elbow]

Good job.

[gloomy tusk]

i got it now thanks

[fair elbow]

Just remember for every 90 degrees about the origin, you swap x and y and ask yourself "what quad am I in? What should the sign on x and y be in that quad?"

[gloomy tusk]

got it

thanks

[topaz sinew]

@gloomy tusk Has your question been resolved?

[topaz sinew]

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[brave acorn]

how do you do this problem?

[potent nova]

Make an expression for the area of large triangle and a small triangle

Given the side length

@brave acorn

[brave acorn]

ok

soooooo

idk

[potent nova]

Hint: equilateral triangle

[brave acorn]

s would be 2/3 of the larger one right?

[potent nova]

Yes so smaller one is (2/3s) ^2

[brave acorn]

why is it squared

[potent nova]

Cuz that's the formula of equilateral triangle area

[brave acorn]

oh

thx

.close

[topaz sinew]

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• After 15 minutes, feel free to ping <@&286206848099549185>.
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