help-0

[twilit cypress]

like that is the alternate solution?

holy mackeral

thank you so much

[fossil latch]

Alternate...?

[twilit cypress]

that actually makes complete sense

everything above my line was taking one route, and the stuff below the line was taking your route, no?

[fossil latch]

Nah the one above the line is just a preparing step to do the below step

Because we're using the fact that floor(x)+floor(-x)=-1 below the line

Which we haven't known before

[twilit cypress]

q23, directly before it does show that as well. So I almost think I can just skip that and assume that floor(x) + floor(-x) = -1

but also, I dont really see how that is helpful for the stuff below the line

oh nvm

@fossil latch, @copper delta , thank you so much! I really appreciate all yall time and effort helping my slow ass out here

just for a quick final clarification, the stuff before that line is effectively q23, eh?

[fossil latch]

Yes

[copper delta]

yeah i thought you were going for 23

[twilit cypress]

okay, cool bean! I think i understand everything at this point. I am not sure if I actually need the stuff from above since we were only asked to do q24 (which seems like it was a bad idea), but I will ask the prof about that

[twilit cypress]

no, I was going for 24, but thats ok

seems like you kinda need to do 23 to do 24

[copper delta]

yes

it’s just a slight modification

[twilit cypress]

ahh okay, okay. Thank you again, I really appreciate it!

.close

[lone heart]

Channel closed

Closed by @twilit cypress

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.

[toxic hedge]

I've got issues in these three sums. Been stuck on these for a good while now. Much thanks

[toxic hedge]

It's better to say I haven't started them

Please ping me 🙏

[tacit arch]

It isn't

Show your work

For ONE of them

[toxic hedge]

That's gonna be difficult atm

But I tried the third question and couldn't show for (a). I encountered a similar question before but this was harder

The first question I didn't know what to do in all honesty and the second question I had no idea where to start

[toxic hedge]

In that question I had the first term and common difference but not for this sum, hence I'm confused

@tacit arch

Arigathanks gozaimuch 🙏

[lone heart]

@toxic hedge Has your question been resolved?

[toxic hedge]

<@&286206848099549185>

Ah I'm thought to be in the middle of an exam

[lone heart]

@toxic hedge 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.

[chilly urchin]

I am using Classic Orbital Elements (Keplerian) from Nasa/JPL to plot the orbits of our planets in Unreal Engine. Nasa/jpl provide the eccentricity and semi-major axis which should be enough to plot the shape correctly. To plot these in Unreal Engine I create points in a spline that together create an ellipse. I haven't been in a mathematics course for a couple years so I am really rusty. I found the equation of an ellipse is (x^2/a^2)+(y^2/b^2)=1 but I am confused. Whenever I plotted functions in the past it was as y= not 1=. Why is it 1= and how do I use that formula to get 8 points (as x, y) around the ellipse? If you're confused let me know because I don't know what it is I don't know so my explanation might be wack

[sullen juniper]

It's because x^2 + y^2 = 1 is the equation for the unit circle, and changing a and b in the equation for an ellipse simply dilates the circle in the x and y directions

[chilly urchin]

Do I need to reformat it to be in y= to be useable I’m confused

[sullen juniper]

I think doing that might remove solutions for y<0 (I'm just being dumb, look below)

It'd* probably be fine though

[tacit arch]

Missing +-?

[sullen juniper]

Oh shoot

[ocean seal]

Semipika123

[lone heart]

@chilly urchin Has your question been resolved?

Channel closed

Closed by @chilly urchin

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.

[tulip helm]

how do i solve this bottom question

[tulip helm]

Question L

[alpine sable]

first combine the two fractions by subtracting

[tulip helm]

it says solve by first multiplying by an appropriate expression

ahhh

holdon

.close

[lone heart]

Channel closed

Closed by @tulip helm

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.

[warped horizon]

hmm how do i frame an equation for this ?

[tacit arch]

Sells = subtraction

[warped horizon]

oh

hmm what's the equation though ?

dang im weak at this equation formation in these word problems

[alpine sable]

let's see

chairs = tables + 10

[warped horizon]

oh i thought it was tables = 10 + chairs

cuz 10 more chairs than tables ?

[waxen plinth]

10 more chairs THAN tables

meaning chairs > tables

[alpine sable]

well in my equation, lets say tables = 5, chairs will be 15

[warped horizon]

oh i see

[alpine sable]

ok next

let chairs = x and tables = y

x - 4 + y - 4

[warped horizon]

oeh alr

[alpine sable]

twice as many chairs as tables would mean:
chairs = tables * 2

x - 4 + y - 4 = 2y

i think

wait no

hmm

ignore that

[warped horizon]

oh why doe

[waxen plinth]

I thought the same thing, but the y cancels out

the y will cancel out

[alpine sable]

wait let me restart

x = chairs
y = tables

x = y + 10

[warped horizon]

mhm

[alpine sable]

final stock is

x = 2y

selling stock is

x - 4 + y - 4

ok so

you can rewrite x - 4 + y - 4 in terms of y

y + 10 - 4 + y - 4

2 y + 2

=

hm

i feel like i'm overthinking this

[waxen plinth]

dude, same. I'm getting negative chairs and tables 😭

[warped horizon]

hmmmm

[lament forge]

i got 24 chairs and 14 tables

[warped horizon]

ye ye that's it

[lament forge]

(i don't know why you're using "x" and "y", "chairs" and "tables" are reasonable variable names that are a lot less confusing)

admittedly it's a bit weird to use a multiple-letter name but meh

so

we have 10 more chairs than tables
chairs = tables + 10

after selling four of each, we have twice as many chairs as tables
chairs - 4 = (tables - 4)*2

then you can just solve that
tables + 6 = 2*tables - 8
tables + 14 = 2*tables
tables = 14
chairs = 24

[warped horizon]

hmm i see

lemme just go through the question again

[warped horizon]

how did u get tables + 6 here

[lament forge]

that's just algebra
chairs = tables + 10, so chairs - 4 is the same as (tables + 10) - 4 which is tables + 6

[warped horizon]

Oehh i see

[lone heart]

@warped horizon 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.

[knotty siren]

I dont understand whats happening from the arrow onwards in this answer. i just want a verbal explanation of whats happening ty

[lone heart]

@knotty siren 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.

[tulip helm]

how do i find x by using pythagoras

[gray isle]

did you make an attempt to set up an equation?

[tulip helm]

Yes

here

not really clear but ill send it

[gray isle]

continue

with your work

[tulip helm]

i cant find any other factors for 84 that add up to 6

[gray isle]

you're not supposed to

[tulip helm]

and multiply to get 84

oh wait

[gray isle]

why are you attempting to factor the left with stuff still on the right side

[tulip helm]

84 = 6x

x = 13

[tulip helm]

i didnt notice there was nothing else left 😭

[gray isle]

it was right before you edited

(your updated result of x=13 isn't correct)

[tulip helm]

square root of 13?

[gray isle]

no

how are you getting x=13 from
84 = 6x

[tulip helm]

hm

you’re right

x is 14

[gray isle]

yes

that's what you had before you changed it

[tulip helm]

OHHH

I WAS LOOKING AT THE WRONG ANSWER SHEET

no wonder why i kept getting confused

i skip questions sometimes

thanks for your help bro

.close

[lone heart]

Channel closed

Closed by @tulip helm

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.

[barren portal]

How do I do this?

[wind cloak]

Your image is incredibly poor quality

[alpine sable]

i can hardly read that

i think it asks for the derivative of that

and i see an intgeral

the derivative of an integral is just the function

[barren portal]

Oh wait

[barren portal]

yes. But i see the limits

I’m aware, if it’s 0 to x then it’s the function

[lone heart]

@barren portal Has your question been resolved?

[lament forge]

The derivative of $g(x) = \int_2^{3x} \sqrt{1+t+t^2}\dd t$ is

[ocean seal]

bee [it/its]

[lament forge]

given that the limit is just 3x i think it shouldn't be too hard to mess with it a bit

like if you define $h(x) = \int_2^x \sqrt{1+t+t^2}\dd t$ then $g(x) = h(3x)$

[ocean seal]

bee [it/its]

[lament forge]

then the derivative of h is easy, and the derivative of g is the chain rule

@barren portal

[barren portal]

yes

[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.

[tough gull]

How come when I replug pi/4 to the equation it doesn’t work out?

I end up getting 2 different values

[undone mango]

Can anyone pls tell me how to solve these two equations

[tough gull]

when I plug pi/4 into this

[heady void]

#❓how-to-get-help bruh it's the 2nd time alr

[undone mango]

I tried I can't understand anything

[heady void]

Just go into an available help channel and type your question

[undone mango]

Isn't this a help channel

[lament forge]

yes but it's a help channel someone else is using

the help channels nobody is using yet are in the "available" category

[undone mango]

Okay

Thanks

[undone mango]

What's the final answer for this??

[tough gull]

x = pi/4

[tough gull]

what ru tryna solve for

[undone mango]

No 7

[undone mango]

I can't do much trigonometry but I solved the logarithm part for u

The answer comes out to be 0 for this

[lone heart]

@tough gull Has your question been resolved?

[tough gull]

na I figured it out

and I just realized the reason It wasnt working out

was bc my calculator was on

degrees mode not radians

[lone heart]

Channel closed

Closed by @tough gull

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.

[silk lintel]

Guys I need help!!!

[silk lintel]

I'm in class 10 CBSE, NCERT and I can't understand a single stuff of creating quadratic equations from word problems

Tomorrows my exam and I still cannot understand creating quadratic equations from word problems like, tap filling 2 tanks, a car taking x km/hr speed with reference to other car and so on...

No matter how much practice I do, I get back to square 1 and don't understand anything 😭

Pls helppppp

[crisp cargo]

okay, dont overthink it

give an example problem that you dont understand

[silk lintel]

Exactly what happens to mee

There are soo many

[crisp cargo]

give one

i cant help you if you just say you dont understand anything

[silk lintel]

Two water taps together can fill a tank in 9(8/3) hours. The larger tap takes 10 hours less
than the smaller one to fill the tank separately. Find the time in which each tap can
separately fill the tank

A person on tour has Rs.360 for his expenses. If he extends his tour for 4 days, he has
to cut down his daily expenses by Rs.3. Find the original duration of the tour

[crisp cargo]

it helps to break it into smaller steps

assign the thing you want to solve for a variable

[silk lintel]

wdym?

[crisp cargo]

for example in the first one you want to know how long it takes each to fill the tank

[silk lintel]

x

no video nor can i understand a single method to solve

for every question theres a diff case

like 360/x + 360/x-5

[crisp cargo]

thats because its not a matter of memorizing formulas or "cases"

[silk lintel]

or 45/x+5 - 45/x = what not

then how do i solve these type of word problems

i mean i know how to solve quadratic equations but creating them is a big object blocking my road

its the biggest pain and i have gone thro many lectures, i just dont understand how

[crisp cargo]

turn the problem into a series of smaller steps and work through it carefully

lets do the first problem u posted

[silk lintel]

75/8 hrs

thats all i know i can do in this prob

[crisp cargo]

@silk lintel r u still here

first tell me what exactly u want to solve for and give them variable names

[silk lintel]

yes

i need to find the time for each tap which can fill one tank separately

you can take x and y

[crisp cargo]

okay, x = time it takes small tank to fill

now for easy part: y = x-10

do you get this?

[silk lintel]

yes

i know till there

[crisp cargo]

okay great

[silk lintel]

but the way you implement that in the equation the problem

[crisp cargo]

now when dealing with problems like this it helps to think in terms of rates

[silk lintel]

terms of rates?

[crisp cargo]

it also helps to give everything a name

yea so let rx = rate at which x fills the tank (smaller one)

[silk lintel]

ok

[crisp cargo]

let V = volume of the tank (the volume does not change)

$r_x = \frac{V}{x}, r_y = \frac{V}{x-10}$

heres why it helps to think in terms of rates

[silk lintel]

can you pls write this using the bot so i can understand

wait

x = v/x??

[crisp cargo]

here

[ocean seal]

chaac

[silk lintel]

oh

[crisp cargo]

if v is the volume, and x is time, then r_x is a rate (units volume per time)

[silk lintel]

so rate is time right?

oh

[crisp cargo]

rate is how much water it fills per unit of time

now for the crucial part (why it helps to use rates)

filling the tank together means this: some time * (r_x + r_y) = V

and we know what the "some time" is: 75/8 hrs

[silk lintel]

how does adding them equal up to volume?

[crisp cargo]

its not adding the times

[silk lintel]

so does that mean 1/x + 1/x-10 = 1

nvm im overthinking it again

[crisp cargo]

you know 75/8 is how long it takes both to fill it right?

[silk lintel]

it happens with me

yes

not both, its both the taps together in 1 tank

[crisp cargo]

so we get the following: $\frac{75}{8}(\frac{V}{x}+\frac{V}{x-10})=V$

[ocean seal]

chaac

[crisp cargo]

then u can cancel the V and solve

[silk lintel]

i still didnt understand how you make the equation

[crisp cargo]

which step specifically

[silk lintel]

all of that v/x + v/x-10

im just getting more confused

[crisp cargo]

okay, lets go back to the rates

do you get that the rate of y is V/(x-10)

(volume per time, time is x-10)

[silk lintel]

yes ok

[crisp cargo]

okay now literally imagine 2 taps filling a tank

they each will pour out water at different rates presumably

[silk lintel]

yes

[crisp cargo]

the total time it takes for both multiplied by r_x gives the total volume x pours out

and same for y

then when u add that up u get exactly the equation i wrote

[silk lintel]

i didnt understand ^

[crisp cargo]

okay tell me what the 75/8 hrs is

[silk lintel]

time taken to fill 1 tank together

[crisp cargo]

now in that time, each tap will pour out its own amount yes?

[silk lintel]

yes

[crisp cargo]

so if x pours out r_x per hour, how much does it pour out in 75/8 hrs

[silk lintel]

75/8 * r_x?

[crisp cargo]

yes

now y pours out its own amount, given by its own rate r_y

[silk lintel]

yes

[crisp cargo]

the total volume V will equal the amount poured out by x + the amount poured out by y

[silk lintel]

so 75/8 * (r_x + r_y)?

[crisp cargo]

yes exactly

and we already know what r_x and r_y are

they will have a factor of V, which u can then cancel at the end

[silk lintel]

V/x, V/x-10

oh

what about the second one

thats where im facing more difficulty

A person on tour has Rs.360 for his expenses. If he extends his tour for 4 days, he has
to cut down his daily expenses by Rs.3. Find the original duration of the tour

[crisp cargo]

what rs

btw did u understand what we did for the first one?

all the other problems will be very similar

[silk lintel]

rupees

[silk lintel]

yes

[crisp cargo]

im gonna go, but try to think about how you would do a similar process for this one as we did in the first one

(think about how much he spends per day)

[silk lintel]

ok ty for help

[lone heart]

@silk lintel Has your question been resolved?

[silk lintel]

how tho?

i just dont get how for every question they create cases

sometimes its 1/x, sometimes its 360/x

i just cant comperihend each and every question i practice and have search up for every SINGLE question 😭 😭

[safe tartan]

umm

[lone heart]

@silk lintel Has your question been resolved?

[dusk thicket]

bhai

tujhe hindi aati hai?

[dusk thicket]

"do u know hindi"

so that it will be easier for u to understand

[dusk thicket]

this is very simple to solve. U just need some basics.

Also, there is assumption that his money balance will be Rs.0 after his tour is complete.

[lone heart]

@silk lintel 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.

[cinder sundial]

How

How to get those two value

[silk lintel]

.reopen

[foggy copper]

no, the point is that this relation holds for any theta

[silk lintel]

Yes can you help me pls

[foggy copper]

i think

[wind cloak]

You have an expression in theta

It doesn't equal anything in particular

[foggy copper]

my man there's like two questions already being dealt with in this channel use one of the available ones please

[lone heart]

@cinder sundial Has your question been resolved?

[lone heart]

@cinder sundial Has your question been resolved?

@cinder sundial 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.

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.

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.

[ivory oracle]

hi

how can i get this domain fast ? f(x,y) = sqrt(x+y) + sqrt(x-y)

[ivory oracle]

figured it out

.close

[lone heart]

Channel closed

Closed by @ivory oracle

Use .reopen if this was a mistake.

[ivory oracle]

hi

.close

[lone heart]

Available help channel!

Send your question here to claim the channel.

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

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

[royal marsh]

How can i go on from here?

[native ether]

what are you trying to do??

[royal marsh]

Calculate the limit

[native ether]

maybe use algebra of limits?

[fleet vale]

you notice that you just need to calculate the limit of the exponent

but if you just fill inf for x, you get inf * 0 , right?

[lone heart]

@royal marsh Has your question been resolved?

[royal marsh]

Good morning felix, how did you know?

[royal marsh]

Thats why you need to solve the indeterminate form

But idk why, and i asked here wishing for help

[native ether]

i didn't. It works when I use Cauchy or Heine limits :shrug:

[royal marsh]

No derivatives here, only transformations

Since you are so good at using Cauchy why dont you help me here

[fleet vale]

no derivatives? dang

[royal marsh]

With de L'hopital would be piece of cake

But without its hard

:/

Actually i figured out

Wrong transformation

/close

.close

[lone heart]

Channel closed

Closed by @royal marsh

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.

[lone condor]

How would I integrate this without getting into a loop of integration by parts after?

[lone condor]

I have a pretty limited knowledge of calculus for reference, but my maths exam is Tuesday and I still get a bit lost for these integrals

[steady basin]

usen a sub

u = lnx

[lone condor]

I did, but that leaves you with this no?

[steady basin]

cool

[lone condor]

Then this takes you into the integration by parts loop

[steady basin]

now use parts

hmmm

[steady basin]

https://www.youtube.com/watch?v=2I-_SV8cwsw&t=0s

watch this from 10 minutes onwards

shows u how to do that inetgral now using the DI methods

its basically a trick u can do to avoid the loop

[lone condor]

Oh wow cool, thanks I’ll take a look

[lone heart]

@lone condor Has your question been resolved?

Channel closed

Closed by @lone condor

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.

[deep karma]

ples help

[deep karma]

i heff exam tmr

in 6 hours

and i got r = root -3r sin theta

here is my work

ignore the pajamas

[modern sedge]

that r is in terms of r?

[echo socket]

Are you sure it shouldn't be -6rsin(theta)?

Also, -3rsin(theta) doesn't stay as -3rsin(theta) when you move it to the right hand side of the equation

[lone heart]

@deep karma Has your question been resolved?

[deep karma]

yes

but i dont know why

sorry for replying so late

i was doing meths

[echo socket]

I am afraid to tell you that it should be -6rsin(theta) there

[deep karma]

where do you think i messed up tho

cus idk where

[echo socket]

This

[echo socket]

That

[echo socket]

And that

[deep karma]

omg bro

i just realized

this is so funy

funny

aiyt thanks yall

[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.

[glacial nimbus]

Math teacher didnt teach well and idk how to do this

[glacial nimbus]

Can someone give me a guide

[glacial nimbus]

Whats rhi

This

[modern sedge]

I'd multiply both sides by 12 to get rid of all the fractions

[violet wagon]

$x(\dfrac{23}{6}+1)=\dfrac{-29}{12}$

1. Distributive Law

$x(\dfrac{23}{6}+\dfrac{6}{6}) = \dfrac{-29}{12}$

2. Like Terms in Denominator

$x\times\dfrac{29}{6} = \dfrac{-29}{12} $

3. Addition

$x\times\dfrac{29}{6}\times\dfrac{6}{29}=\dfrac{-29}{12}\times\dfrac{6}{29}$

4. Multiply both sides by same fraction

$x=-\dfrac{6}{12}$

[ocean seal]

SirMonkey

[glacial nimbus]

How would i do one with a variable at the bottom of a fraction?

[violet wagon]

Give an example?

[glacial nimbus]

Oh wait i think i can just cross multiply

I feel dumb 🫠

What

[silk lintel]

27=10a + 20

10a = 7

[glacial nimbus]

Yea wouldnt it be 7/10

[silk lintel]

a = 7/10

[violet wagon]

my bad, this isnt a function so that isnt relevent

yes, it would be 7/10

[glacial nimbus]

Well anyways ty for helping me my math teacher didnt teach half of algebra so i’m below level in almost everything

[lone heart]

@glacial nimbus 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.

[nocturne garden]

Question:
A florist sells two types of bouquets. A bouquet of the first kind consists of
5 roses, 5 tulips and 5 carnations and is sold for e 35. A bouquet of the second kind
consists of 3 roses, 6 tulips and 6 carnations and is sold for e 20. The florist cannot
sell loose flowers or differently composed bouquets and has 50 roses, 70 tulips and 60
carnations available.
(a) What is the maximum number of bouquets the florist could sell?
(b) What is the maximum turnover he could achieve?

I used lineair programming to solve this problem.
step 1. define of variable
x = the number of bouquet of the first kind that the seller sells
y = the number of bouquet of the second
kind that the seller sells

step2: funtion to maximalize
z = x+ y (for the first problem)
W(x,y) = 35x+20y (for the second problem)

step 3: set conditions
5x+3y <= 50
5x+6y <= 70
5x+6y <= 60

step 4: positiveconditions
x>= 0, y>= 0

Now I am stuck because I found 3 points for each condition:
A: (0, 16.67) and (10,0)
B: (0, 11.67) and (14,0)
C: (0, 10) and (12, 0)

Which one do I use to evaluate for z= x+y?
Can I choose?
Can I just do z= 0+16.67, z = 0+11.67.... or can i use the second points? How do I do it?

[nocturne garden]

please helppp

[sick mirage]

what is "e" here? is it a variable?

and are the numbers next to it in the problem, like 35, coefficients to e?

and is sold for e 20
is 20 the coefficient to e?

[lone heart]

@nocturne garden Has your question been resolved?

[nocturne garden]

sorry e stands for euro

[lone heart]

@nocturne garden 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]

The area of the cube is growing at a rate of 20 cm/s. at what rate does its volume increase if the length of the edge of a cube is 10 cm?

[alpine sable]

I literally have no idea how to do it

like

if S(x)=6x^2 is the area of the cube

then the question says that d/dx S(x) = 20?

or what

well not dx but dt

[hasty hill]

no

[alpine sable]

d/dt S(x) = 20

[hasty hill]

yep

[alpine sable]

sooo

12x = 20?

or what

you took dx, which is not correct

oh okay

6x^2 = 20t

so x = sqrt(20t/6)

x^3 = sqrt(20t/6)^3

thus dx^3/dt = (calculate the above)

ohh

okay makes sense now

thanks!

what

*wait

but how do we use the fact that side length is 10?

unless I'm missing something

u use it to find t

then plug it back in

oh alright

how much yo got?

i got ~27.38cm^3/s

[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.

[indigo pasture]

Find the derivative of the function. x(6x + 1)4

[whole shell]

dont you mean

x(6x+1)^4

[indigo pasture]

yes

[whole shell]

@indigo pasture do you know product rule

and chain rule

[indigo pasture]

yes f'g+fg'

[whole shell]

@indigo pasture product rule first

then chain rule

for that question

[indigo pasture]

chain is f'(g)g'

[whole shell]

yh

well i say this

because when you do product rule

youll need to know what the derivative of (6x +1)^4 is

which you need to use chain rule for

[indigo pasture]

4(6x+1)^3+6

the product in this one will look like (6x+1)^4+24

.cloes

.close

[lone heart]

Channel closed

Closed by @indigo pasture

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.

[pseudo seal]

what do i need to do here?

[alpine sable]

what will -5x^2 + 10x + 15 equal when it hits the water?

[pseudo seal]

how can i calculate that?

[soft pulsar]

Nothing to calculate yet. Read the word problem and try to figure out what value that equation has when the stone hits the water

[alpine sable]

what will the height = ?

hint: that equation models the height

[pseudo seal]

i got 3 seconds, but i calculated with the quadratic formula, how could i have done it without using any process?

[whole shell]

well you couldve factorised

it into (5x+5)(-x+3)

or rather 5(x+1)(-x+3)

[pseudo seal]

thanks

.close

[lone heart]

Channel closed

Closed by @pseudo seal

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.

[tough shard]

Not sure where to start. I don't know how to adjust the equation for a rotation

[lone heart]

@tough shard Has your question been resolved?

[tough shard]

<@&286206848099549185>

I'm guessing that the surface is a hyperboloid and an x^2 needs to be added to the equation to create a 3-D surface

[lone heart]

@tough shard Has your question been resolved?

[tough shard]

.close

[lone heart]

Channel closed

Closed by @tough shard

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.

[raven scroll]

I understand there is a reflection in the y-axis, and a horizontal compression. I just don't understand how to figure out what factor of horizontal compression there is.

[raven scroll]

ohhhh thank you.

.close

[lone heart]

Channel closed

Closed by @raven scroll

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.

[dawn crest]

why is e^((-1)/n) = 0?

[dawn crest]

Actually i just realized that 1^x is always 1 so of course the denominator is bigger. Nvm

.close

[lone heart]

Channel closed

Closed by @dawn crest

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.

[small shuttle]

It asks to me the area between
x = 3 + y^2
x = 2 - y^2
y = 1
and y = -2

[lone heart]

@small shuttle Has your question been resolved?

[small shuttle]

<@&286206848099549185>

[lone heart]

@small shuttle Has your question been resolved?

[north canopy]

look at the graph sideways and integrate dy. thats what i would do

from y=-2 to y=1

@small shuttle

[small shuttle]

Oh, okay thanks

.close

[lone heart]

Channel closed

Closed by @small shuttle

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.

[clever timber]

hello

[clever timber]

do you guys know how I could solve lim x->-infinity 3^x*x

[slender quiver]

yeah

[clever timber]

how?

[slender quiver]

3^x goes to infinity

[clever timber]

it's -infinity

[slender quiver]

oh

[frail stump]

Notice that as x approaches negative infinity, 3^(-x) approaches 0 because the base of the exponent, 3, is greater than 1. Therefore, the expression can be simplified **further: **
lim x->-infinity x / 3^(-x) = lim x->-infinity x * 3^x.

[clever timber]

and after that what?

[slender quiver]

3^x goes to 0

x goes to -inf

[clever timber]

yeah,it's undefined then

[frail stump]

We can use L'Hôpital's rule to differentiate the numerator and denominator separately.

( have an indeterminate form of the type "infinity * 0" )

[clever timber]

oh so i can write 3^x as 3^-x

[slender quiver]

on the denominator

[clever timber]

why is that since there's no -infinity involved?

i mean,how does that work

[frail stump]

Take the derivative of the numerator and denominator:

[clever timber]

cus it's the form before the -infinity is inputted

[frail stump]

^

[clever timber]

i just don't understand how i can suddenly go to writing 3^x as 3^(-x)

[slender quiver]

3^x = 1/(3^(-x)

[clever timber]

oh

oops,I got it

[frail stump]

since x approaches negative infinity, and 3^x approaches 0

[clever timber]

yeah

total sense

thanks y'all

.close

[lone heart]

Channel closed

Closed by @clever timber

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.

[low moat]

Lets say there is a circle drawing competition, where people draw circles without equipment. This means the circles are imperfect. How do you determine how close/far it is to a perfect circle by using standard deviation, variance, etc?

[low moat]

this was one of the questions on the blackboard the other day during math class, but I couldnt get a photo of it, so I just typed it out here

[lone heart]

@low moat 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.

[vagrant tide]

Can someone help me understand what I did wrong? Im also gonna send a photo of my work

[frail bison]

when you cancel the x-63, the remaining stuff (sqrt(x+1)+8) will be in the denominator.

[vagrant tide]

wait so is it 1/16?

[frail bison]

yes

[vagrant tide]

okay thanks!

.close

[lone heart]

Channel closed

Closed by @vagrant tide

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.

[ember dagger]

This isn’t 7?

[ember dagger]

<@&286206848099549185>

How I Solved It
• Given : 50,62,50,54,56,60,54,57,57

• x̄ : 55.5555 ≈ 55.5
• ox: 3.8329 ≈ 3.8

——————————————-
55.5 + 3.8 = 59.3
55.5 - 3.8 = 51.7
Highest - 59.3
Lowest - 51.7

—————————————
Given : 50,62,50,54,56,60,54,57,57
7 of them are within the standard deviation of the mean

[lone heart]

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

@ember dagger 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.

[stiff surge]

I have no idea what to do

Does it have something to do with gradient?

[gilded magnet]

Just use distance for!ula

For all three sides

[naive crystal]

Show that two sides of the triangle are equal

[gilded magnet]

Two of em equal n jobs don

Wait

Also Pythagoras

[ocean seal]

realhuman

[gilded magnet]

Not -

Plus in between

[stiff surge]

Typo

[gilded magnet]

Knvms

Allgud

[ocean seal]

Random Guy

[stiff surge]

So like

I still don't have an idea on what to do

[gilded magnet]

Find AB BC CA

[stiff surge]

and can I know why we are using the distance formula?

[gilded magnet]

To find the distance of these sides

[surreal meadow]

two show two sides have the same length

[stiff surge]

Ohh

[gilded magnet]

Also for Pythagoras

[stiff surge]

Which ever two side is equal shows it is an isoceles

[gilded magnet]

Yup

And Pythagoras for right angle

[stiff surge]

But isn't pythagoras theorem just used to find the side

[gilded magnet]

The sides enclosing the right angle

[gilded magnet]

Pythagoras theorem only works for right triangle

[stiff surge]

But like

I should just show the side?

[gilded magnet]

If Pythagoras theorem is working...it !eans the triangle is right angled

[gilded magnet]

State the complete theorem

[stiff surge]

a2+b2=c2

Actually I get it

[gilded magnet]

Yes

Kool

Like my pfp

[proven leaf]

Converse of the Pythagorean Theorem if c^2=a^2+b^2 then triangle ABC must be a right triangle :))

[stiff surge]

lol

Anyways length of ab and length of bc are the same

[proven leaf]

now verify it's a right triangle

[stiff surge]

Okay

[proven leaf]

oh also you're going to need to find the length of the third side

then verify it using Pythag

[stiff surge]

Thank you all for helping me out

I successfully got the same answer

[proven leaf]

yw! Have a good day :))

[stiff surge]

.close

[lone heart]

Channel closed

Closed by @stiff surge

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[stiff surge]

For these kind of questions can the x be negative

[stiff surge]

Well it is not a question it is just a clarification

[wary stream]

Which x?

There's a lot

[stiff surge]

Like can the answer be: (-x-4)(x-7)

I am asking it generally

whether if the x inside the bracket can be negative

[surreal meadow]

yes

[stiff surge]

Okay tq

[surreal meadow]

this is related to the coefficient on the x^2

also note that these answers could all have negatives

[stiff surge]

For the question I worked out I got the x as negative

[surreal meadow]

take question 1 for example

(x-24)(x-1) = (24-x)(1-x)

which one specifically

[stiff surge]

Actually nvm

The answer

I just wanna know if the answer can be negative

the variable not the numbers

[surreal meadow]

did you read this

[stiff surge]

ok

tq

[lone heart]

@stiff surge 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.

[inland isle]

I am currently doing trig. This is not a full question, just a small part of the answer. How did the brackets on the RHS split to become sin and cos. I don't see any info regarding it on the formula sheet.

[fallen verge]

Double angle formula

[inland isle]

Ok makes sense now. Thanks 🙂

.close

[lone heart]

Channel closed

Closed by @inland isle

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.

[hot trail]

im confused at what to do here

how do i solve for a?

its not
1331/9

[north canopy]

you know that the sum is ar^(n-1)

and at n=3, u have 121/9

what can u conclude with those infos ?

[hot trail]

ah ok a=9

.cloise

.close

[lone heart]

Channel closed

Closed by @hot trail

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.

[warped horizon]

hello, can someone help me out with this problem

[vale wigeon]

what's the goal? to solve for x and y?

[warped horizon]

yeah we have to find the values of x and y

[vale wigeon]

k

progress?

[warped horizon]

should i send the pic ?

[vale wigeon]

yes absolutely

[warped horizon]

oeh alr one sec

[real cipher]

ello ann

[vale wigeon]

hi, did you want to ask something to me specifically or did you just want to intrude in this channel for some chat

[real cipher]

damn how long have you been playing slay the spire i completed with all the character
the second one intrude

[vale wigeon]

you know #chill exists right

[warped horizon]

there

[vale wigeon]

L.C.M. here?
are you asking about legality or helpfulness

oh yeah btw you actually fucked up the earlier step

[warped horizon]

hm like am i supposed to do it ?

[vale wigeon]

you should have had $-100x + \frac{x}{4} + \frac{y}{24} = 8$ as your equation

[ocean seal]

Ann (glomed)

[warped horizon]

Oeh

[vale wigeon]

no such thing as "supposed to"

[warped horizon]

oh woops

-100x

[warped horizon]

i see

soo how do i proceed after that ?

[vale wigeon]

my suggestion? multiply both sides of the first equation by 24, and of the second equation by 5.

that way you will not have any fractional coefficients to worry about.

[warped horizon]

oeh

kay i will give it a try one sec

Hmm it feels like im hetging somewhere

Ah this is a long one

i just checked the answer

OH

i will use another method rather than elimination ig

maybe it could work

Hmmmm

Didn't get the answer

@vale wigeon can u try this once please ?

[tacit arch]

Just show your work

[warped horizon]

I think its wrong doe

[vale wigeon]

as in you got no answer at all?

or you got the wrong answer

[warped horizon]

Wrong answer

[vale wigeon]

yeah show your work

then we can pinpoint your fuckup

[warped horizon]

Alr

[vale wigeon]

there it is

you tried to kill two birds with one stone and let both escape

[warped horizon]

i didn't want to multiply 24 by 100 lmao

[vale wigeon]

for shame because you would have to do that

from (6x+y)/24 = 100x + 8 to 6x + y = 2400x + 192

[warped horizon]

💀 big numbers scare me fr

[vale wigeon]

and then to -2400x + 6x + y = 192

[vale wigeon]

gonna need to overcome that fear.

plus 100 is a nice number for multiplication purposes

[warped horizon]

its like, oh shoot big number must be wrong

[north canopy]

2400 aint such a big number

[warped horizon]

but the answer is like

quiet different idk

alr lemme try again

0 f up's challenge

Is this correct so far ?

i should get the value of y if i equate them both right ?

-192-y/2394 = 50 + 5y/2

@vale wigeon

Les goooo

I got it :D

But the calculation part scares me

[lone heart]

@warped horizon Has your question been resolved?

Channel closed

Closed by @warped horizon

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.

[turbid stratus]

hello may i ask how to do question (ii)?

[lone heart]

@turbid stratus 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.

[lone heart]

@elfin tree Has your question been resolved?

[lime light]

use desmos on the internet they have a very neat way to do Q1. a

[lone heart]

@elfin tree Has your question been resolved?

[elfin tree]

Idk how to use desmos properly

[lime light]

write in the equation in question one, exactly

except change the square brackets for round ones

then click all : )

by save i think they mean screenshot then submit?

play around with the sliders and note down what each one does in question 1b

[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.

[prime estuary]

How should I go on to solve this question?

[minor needle]

you know formulas for the volume of a cylinder or sphere?

[prime estuary]

yep

[minor needle]

so what's the problem

[prime estuary]

I'm getting 1921.91

I'm going to go with 1921.68 for this, lemme see if it's right

it's correct

[minor needle]

pi = 3.14

,calc 3.14*(6^2)13+1/24/33.14(6^3)

[ocean seal]

Result:

1921.68

[prime estuary]

oh right

small error from my side

.close

[lone heart]

Channel closed

Closed by @prime estuary

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[warped horizon]

can someone solve this Q.E, the roots are 3 or 1

[limpid spade]

You solve

[warped horizon]

yeah i did

[limpid spade]

What u got

[warped horizon]

one sec lemme show it once

there

i sent the x^2 to the right side cuz of the negetive

in the first one

the roots shouldbe 3 and 1

but i am not getting em

[nimble fern]

3x-7x≠5x

[warped horizon]

wait lmao

sht

i was reading it as 2 the entire time

💀 \

thx lmao

.close

[lone heart]

Channel closed

Closed by @warped horizon

Use .reopen if this was a mistake.

[alpine sable]

set one side of the equation to 0 then factor

id honestly just get another blank sheet and retry

id also maybe not use pen for solving next time

[warped horizon]

Lmao i was writing 3x - 7x as 5x instead of 4 💀

[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.

[calm grove]

Can someone tell me what this sideways T means
This one |-

[alpine sable]

it prolly means that its a tautology

or sth

[calm grove]

Aahh thanks

[lone heart]

@calm grove Has your question been resolved?

Channel closed

Closed by @calm grove

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.

[quasi vector]

$x,y,z$ are positive reals such that $$\frac{x^2+yz}{y+z}+\frac{y^2+xz}{x+z}+\frac{z^2+xy}{x+y}>=m(x+y+z)$$ then find $m+12$

[ocean seal]

kheerii

[quasi vector]

I tried using AM-HM inequality by breaking up the terms in different ways but that didn't give me anything

<@&286206848099549185>

anyone?

.close

[lone heart]

Channel closed

Closed by @quasi vector

Use .reopen if this was a mistake.

[alpine sable]

im trying

[quasi vector]

.reopen

[lone heart]

✅

[quasi vector]

what are you trying

[alpine sable]

tried am-gm on
$$\frac{x^2}{y+z}+\frac{yz}{y+z}+... +\frac{xy}{x+y}$$

[ocean seal]

Jester

[alpine sable]

no yield

tryna fit this also

[quasi vector]

am-gm seems pretty unlikely

[quasi vector]

yeah i was also looking at this

but doesn't seem to work either

[lone heart]

@quasi vector Has your question been resolved?

[quasi vector]

.close

[lone heart]

Channel closed

Closed by @quasi vector

Use .reopen if this was a mistake.

[quasi vector]

.reopen

[lone heart]

✅

[quasi vector]

<@&286206848099549185> anyone?

.close

[lone heart]

Channel closed

Closed by @quasi vector

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[warped horizon]

hmm i didn't get this

[tawny condor]

First simplify and move everything to one side

[warped horizon]

Is this right ?

[tawny condor]

Yeah

Factor out the x

In (2x - 6ax)/a

[warped horizon]

Yeah did that just now

So its coeff is 2(1-3a)/a

?

[tawny condor]

yea

just (2 - 6a)/a

Now use the quadratic formula

[warped horizon]

Oh i factored 2x

[tawny condor]

You can also factor out the 2 but you don't have to

[warped horizon]

I see

[tawny condor]

Your last line is wrong

where's the /a?

b = (2 - 6a)/a

[warped horizon]

Yeh didn't write it yet

I think this one's also like the previous one u explained

But not ab

Maybe root a ?

Or root a²

@tawny condor what should i do here ?

[tawny condor]

In the denominator it should be just 2 * 2

Not 2 * (2a)

a is only in the coefficient of x

[warped horizon]

Oh woops

Ye ye

Soo what should i do now ? Do i do it the previous way ?

Like multiply with a

[tawny condor]

Simplify as much as you can

First open the parenthesis inside of the square root

[warped horizon]

Oh kay

[warped horizon]

Hm in the first step should i use (a-b)² for (2-6a)² or the one in the pic

Hm most probably a - b whole sq

[tawny condor]

(2 - 6a)^2 isn't 4 + 36a^2

$(a+b)^2 = (a + b)(a + b) = a(a + b) + b(a + b) = a^2 + ab + ba + b^2 = a^2 + 2ab + b^2$

[ocean seal]

RedstonePlayz09

[warped horizon]

Yeye i was a lil bit confused if i can use that identity or not

Cuz it was on a fraction

[warped horizon]

Got this

[tawny condor]

Should be /a^2 in the square root

instead of /a

You forgot that I think

[warped horizon]

Oh yeah

a²

[warped horizon]

Hmmm lmao at first the problems were easy i finished em quick with quadratic formula and factorizing, i get like confused when dealing with fractions

[tawny condor]

You should revise basic algebra then

Once you master it, questions like these will be a breeze

[warped horizon]

Oeh i see

[tawny condor]

Understand where your formulas are coming from as well

[tawny condor]

Like this for example

[warped horizon]

Yeah i know identities and their derivations

I didn't know we could still apply it when its on a fraction

[tawny condor]

What do you mean?

Can you give me an example where that confused you

[warped horizon]

Like (a+b/2)²

I thought when its like that it won't apply

[tawny condor]

Then look at your sum as

a being added to

b/2

So you have

$a^2 + 2 \cdot a \cdot \frac{b}{2} + \parens{\frac{b}{2}}^2$

[ocean seal]

RedstonePlayz09

[tawny condor]

And then simplifying:

$a^2 + ab + \frac{b^2}{4}$