help-27

[wooden wraith]

Can you show your work?

[gloomy ingot]

cos 3/5 cos 5/13 + sin 4/5 sin 12/13

and then i just put that into the calculate to get an answer

[wooden wraith]

hm

Those fractions don't go in the trig functions

Those fractions are the values of the trig function

if cos(a) = 3/5

don't write cos(3/5)

just replace the whole cos(a) with 3/5

[mellow panther]

Do you know the relation between sin and cos?

@gloomy ingot

[gloomy ingot]

sin^2 x + cos^2x =1

[crimson sleet]

you got the value of alpha?

[gloomy ingot]

ohhhhhh

got the answer now

[wooden wraith]

because you have cos(a) = 3/5
not a=3/5

[gloomy ingot]

yeah

so in the future if its a = 3/5 i would use it how i did previously but if its cos(a)= 3/5 i can just put the raw fraction in

[wooden wraith]

yes if you had a value for a, you could just plug it in for a

but in these types of problems, you're usually just playing around with the trig values

[gloomy ingot]

alrigh thats fine than kyou

.close

[devout snow]

Channel closed

Closed by @gloomy ingot

Use .reopen if this was a mistake.

[devout snow]

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.

[devout snow]

Please don't occupy multiple help channels.

[radiant drift]

[radiant drift]

how is this computed

nvm

i got it

.close

[devout snow]

Channel closed

Closed by @radiant drift

Use .reopen if this was a mistake.

[radiant drift]

nvm this next line is confusing

how to get from line 1 to 2

[turbid shuttle]

reopen the channel

[radiant drift]

.reopen

[devout snow]

✅

[radiant drift]

@restive river ^

[lunar harbor]

You can ping the 'helpers' role after 15 min, but please don't ping individual helpers.

#❓how-to-get-help

[radiant drift]

shut up

rbit is my brother

[lunar harbor]

[radiant drift]

@restive river sucks

.close

[devout snow]

Channel closed

Closed by @radiant drift

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 shuttle]

Show your work

[zenith lagoon]

So ,
Perimeter of Circle = 2Πr
Perimeter of Semi Circle = 2Πr / 2
= Πr
Radius = Diameter / 2
= WX / 2
= 14 / 2
= 7 cm
Perimeter = Πr
= 22/7 * 7
= 22cm
Perimeter of square = 4a ( but here its 3a )
4 * 3
= 12
Now 22 + 12 = 36

But the answer is incorrect its B

wait .
How to find WT and XU

we need to add that also

so how?

[turbid shuttle]

Well you know WX, and you know TU since STUV is a square

[zenith lagoon]

wait
22 + 14 +12

= 48

Bruh so damn confused

its 36 or 44 or 48

Help me

[devout snow]

@zenith lagoon Has your question been resolved?

[zenith lagoon]

<@&286206848099549185>

[crimson sleet]

yo gimme a min

solving

the answer should be 30 cm

@zenith lagoon

[zenith lagoon]

ohh

[crimson sleet]

you want me to explain?

ryxzan?

[zenith lagoon]

yes

[crimson sleet]

alr so one side of the square is 4cm

and the diameter of the semicircle is 14 cm

so the radius is 7 cm

perimeter of the semi circle is 2pir/2

which is pir

so perimeter = 22/7 x 7

= 22cm

now since its on one side of the square we will subtract 4cm from the perimeter of the semicircle

so the perimeter now is 22-4 = 18cm

now add the remaining three sides with 18 cm

so 18 + 12 = 30 cm

there ya go

[zenith lagoon]

but 30 is not in the option

[crimson sleet]

what are the options?

[zenith lagoon]

^

[devout snow]

@zenith lagoon Has your question been resolved?

[zenith lagoon]

yoo help me

<@&286206848099549185>

[wooden veldt]

You know WX = 14 and TU = 4. Use this to find TW and UX

[devout snow]

@zenith lagoon Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[devout snow]

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.

[fierce rune]

Hi :) struggling to setup the integral here, I can't seem to find one without y^2 (need y on its own so they don't evaluate to 0, i think?)

[fierce rune]

because they're square I thought the integral $\int_{-2}^{2}y^2 dx$ works

[woven radish]

Syrenate

[fierce rune]

but it just gives 0, obviously

[devout snow]

@fierce rune Has your question been resolved?

Channel closed

Closed by @fierce rune

Use .reopen if this was a mistake.

[devout snow]

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.

[open pendant]

bruh

when i cube root it

i do not get 0.79

what is happening here

[turbid shuttle]

i do

[devout snow]

@open pendant Has your question been resolved?

[open pendant]

What are u typing on your calc

I type

^3sqrt0.50

@turbid shuttle

.close

[devout snow]

Channel closed

Closed by @open pendant

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.

[violet matrix]

Can someone check if I did these correctly

Rrly not sure of my answers

[small raptor]

First one

You forgot your plus C

[violet matrix]

Oh ur right ty! Is everything else ok?

[small raptor]

,w int 1/(sinx +1)

[woven radish]

Results provided by WolframAlpha

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

Requested by Mortta#2828

[small raptor]

Yea

both seem fine I think

[violet matrix]

Ok tyy!

[devout snow]

@violet matrix Has your question been resolved?

Channel closed

Closed by @violet matrix

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 cape]

hey guys

[raven cape]

after integrating I got (2x-1)^2 / 4 + C

is this correct?

[topaz beacon]

Wtf

You can separate it by integrating 2x and 1 eah

Each*

[raven cape]

but why can't I integrate it together

like this (2x-1)^2/ 2 * 2 + C

[topaz beacon]

Integration doesnt work like that

[analog trellis]

This is correct.

[topaz beacon]

Trust me, its easier if you just separate

wha

[analog trellis]

My school called it reverse chain rule. But only works for linear inside.

[topaz beacon]

Oh my god it does

[devout snow]

@raven cape Has your question been resolved?

[analog trellis]

It's a useful trick sometimes. 🙂

You just have to beware answers in the back of the book might look nothing alike though.

[devout snow]

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.

[amber arrow]

yo nayone

[restive river]

Would this be the correct answer?

[hybrid snow]

#❓how-to-get-help delete your post

[hybrid snow]

Seems good

[restive river]

Thankssss

[hybrid snow]

Close the channel

[devout snow]

@restive river Has your question been resolved?

Channel closed

Closed by @valid rain

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.

[open pendant]

how come its b^2

i dont get b^2

theres only 1 b....

[fossil chasm]

yeah it should be ab not b^2

[open pendant]

weird

this is khan academy and hes like 10 minutes past this without correction

thanks

.close

[devout snow]

Channel closed

Closed by @open pendant

Use .reopen if this was a mistake.

[devout snow]

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.

[little jewel]

How to find shaded area

[sick fulcrum]

nothing is shaded

[little jewel]

The pee color is apparently shading

[sick fulcrum]

everything looks pee colored to me tho

[little jewel]

smh

[sick fulcrum]

guessing the semicircle looking thingv

integrate

[little jewel]

Yeah

[little jewel]

What though

[real grail]

Calculate the integral of y

[sick fulcrum]

there are only 2 things to integrate

one of them is very boring to integrate

and too easy

[red sierra]

either you can subtract the integral pi/4 to 3pi/4 from the area of the rectangle

[sick fulcrum]

the other one is less easy

[real grail]

Between pi/4 and 3pi/4

[little jewel]

Wait

So

2-csc^2x

Integrate that

[red sierra]

yeah

[little jewel]

And it gives area

Ah

[red sierra]

or you could calculate the rectangle area and subtract integral pi/4 to 3pi/4

either way would work

why would you not?

[little jewel]

I see that works too

[little jewel]

Idk maybe he can't see the pee colored part

[real grail]

Nvm

[fresh horizon]

pee on the question

[real grail]

[little jewel]

2x+cotx?

[real grail]

You are right sorry

[little jewel]

After integration

I am either an idiot for doing the integration wrong or substituting with the bounds wrong

Or both

[red sierra]

looks right to me

[little jewel]

After substitution is it not pi/2 + 1 - 3pi/2 +1

So -pi/2 + 2

Ah I reversed it oops

I am an idiot I got it thanks

[devout snow]

@little jewel Has your question been resolved?

Channel closed

Closed by @little jewel

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.

[vale barn]

hey

[vale barn]

we have this function of the cauchy density distribution

$f(x) = \frac{K}{1+x^2}$

[woven radish]

RickyDicky

[vale barn]

from -inf < x < inf

i have to find the value of K and the distribution function F_x(x)

[pseudo basin]

do you know the defining property of a probability density function

well, one of

but the most important one

[vale barn]

ugh no

apparently it has to be >0

[pseudo basin]

sure but thats not the one i meant here

no, i meant that $\int_{-\infty}^{\infty} f(x) \dd{x} = 1$

[woven radish]

Ann

[vale barn]

hmm

[vale barn]

what is this exactly

like why is it = 1

im really new to probability so i just need a little bit more explanation if you could offer it

[pseudo basin]

$\int_a^b f_X(x) \dd{x} = P(a < X < b)$

[woven radish]

Ann

[pseudo basin]

where X is your random variable and f_X is its density function

thats the point of the density function

[vale barn]

oh

$\int_{-\infty}^{\infty}\frac{K}{1+x^2}\dd{x}=1 \rightarrow K = \frac1{\pi}$

[pseudo basin]

but yes

[woven radish]

RickyDicky

[vale barn]

is there a \imply or is it \implies

or do i have to use \rightarrow

[pseudo basin]

\implies

[vale barn]

ah

$F_x(x) = \int_{-\infty}^{\infty} \frac{1}{\pi(1+x^2)}\dd{x} = \frac1{\pi}\cdot\left(\arctan(x) + \frac{\pi}{2}\right)$

[pseudo basin]

\arctan

also missing \right)

also screwed up notation with the integral

[woven radish]

RickyDicky

[vale barn]

okay

and now what about finding the variance of this

var(x)

expected value and variance

[pseudo basin]

your notation there was bad but i got too distracted to point out how exactly

$F_X(x) = \int_{-\infty}^x \frac{1}{\pi(1+t^2)}\dd{t} = \frac1\pi \left( \arctan(x) + \frac\pi2 \right)$

[woven radish]

Ann

[pseudo basin]

this is what it should have been

[vale barn]

Right

thats what i did in my notebook

but went too quickly on writing the tex so i messed it up

from -inf to x

[pseudo basin]

anyway

$E[X] = \int_{-\infty}^{\infty} x f_X(x) \dd{x}$

[woven radish]

Ann

[pseudo basin]

in your case the expectation ||does not exist||

[vale barn]

how did u figure that out

[pseudo basin]

i happen to have seen this particular problem before, but int x/(1+x^2) dx is not hard to calculate symbolically

[vale barn]

$\frac1{2\pi}\left[\ln(1+x^2)\right]^{\infty}_{-\infty}$

[woven radish]

RickyDicky

[vale barn]

the integral does not converge

[pseudo basin]

yes exactly

[vale barn]

$Var(x)=E(x^2)-[E(x)]^2$

[woven radish]

RickyDicky

[pseudo basin]

when the expectation fails to exist, so too do any other higher moments.

[vale barn]

ah

$Var(x) \rightarrow \inf$

[woven radish]

RickyDicky

[vale barn]

covariance is just sqrt(var(x)) right?

and that doesnt exist either

[pseudo basin]

it's \infty not \inf

also that's bad notation anyway

[vale barn]

woops

[pseudo basin]

better to just say in words

Var(X) does not exist

thats it

[vale barn]

yeah okay

[devout snow]

@vale barn Has your question been resolved?

Channel closed

Closed by @vale barn

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[jaunty seal]

quick question, we have to like find x here: 2x^2-4x=0
i wrote:
2x(x-2)=0
2x=0 —> x=0/2=0 and x=2

[jaunty seal]

is this correct

[gray gust]

yeah

[jaunty seal]

Ok tysm

.close

[devout snow]

Channel closed

Closed by @jaunty seal

Use .reopen if this was a mistake.

[hollow pollen]

yes mostly, please write "or" instead of "and", x cant be 2 values at the same time

[urban harbor]

https://tenor.com/view/the-precision-is-just-immaculate-brad-mondo-perfect-accurate-precise-gif-17328033

[jaunty seal]

yeah yeah i wrote or but i got confused on discord i thought saying or triggered like a channel so i just said and

thanks again :)

[devout snow]

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.

[robust mason]

Help

[robust mason]

Alright so can someone solve these for me pls

And explain it to me if possible

[gentle mantle]

what are you asking?

[robust mason]

To solve the question

[gentle mantle]

the english in that is kinda, weird

[robust mason]

It's still understandable though?

[dull otter]

if you want i could speak in your native language if that is better

[robust mason]

Do you know french

[dull otter]

oui

[gentle mantle]

https://tenor.com/view/wow-rainbow-gif-gif-26360246

[robust mason]

French isn't my native but if you can understand the exercise in french and explain it to me in English that would be great

[dull otter]

d'accord

envoyez-le en francais s'il vous plait

[warped relic]

Looks like the straight line equation question which asks about y-intercept and slope and then asks for the equation itself

[dull otter]

hehe okie

[robust mason]

Alright here

[dull otter]

f(1) = 2

[warped relic]

Wow

[warped relic]

Chief we don't give answers. We explain them

[dull otter]

f(-2) = -4

[dull otter]

oh ya i forgot lol

[robust mason]

Thank u

[dull otter]

for finding f(1) and f(-2), you need to look at the graph

[robust mason]

I see, so how do I find it

[dull otter]

the height is where that arrow hits the line

[dull otter]

where does the arrow hit the line @robust mason

[robust mason]

3?

[dull otter]

my bad, what i meant to say was where does the arrow intersect with the line

the line is f(x)

[robust mason]

By the way sorry but where do we get the x from

[dull otter]

f(1) means what does the function equal at x=1

imagine f(x) = x+2

f(1) = 1+2 =3

[dull otter]

we are asked to find f(1)

[robust mason]

Oh I see

Although not completely but I'm starting to understand it a bit

[dull otter]

that's ok

[robust mason]

So how did you find f(-2)

[dull otter]

i will explain a bit better with this graph

this is the graph of the function f(x) = x+2

[dull otter]

the axis which is horizontal or lying flat is called the x axis

the numbers on the x axis represent our x values

[robust mason]

Oh

I see

[dull otter]

the vertical axis is called the y axis

it represents the value of the function

[robust mason]

So x=2?

[dull otter]

for f(1)?

[robust mason]

Ah

[dull otter]

i was asking

did you mean f(1)

[robust mason]

Yes

[dull otter]

ok well x doesnt equal 2

f(1) = 2 yes

but this is only when x =1

f(1) = 2

the thing inside the bracket is x

[dull otter]

look here again

f(x) = x+2 right

[robust mason]

I see

[dull otter]

look at when x = 2

f(2) is equal to 2+2 which is equal to 4

f(x) = x+2

f(2) = 2+2

f(2) = 4

look at the point which is right above 2

[robust mason]

Damn so complicated

[dull otter]

it's not really

you just have to notice the pattern

[dull otter]

f(2) =4 right?

[robust mason]

Yes

[dull otter]

the point right above 2 is 4

notice that?

[robust mason]

Oh yeah

[dull otter]

look at when x =0

when x=0
f(x) = x+2
f(0)=0+2
f(0)=2

notice that the point above 0 is 2?

btw we can start calling "the point above" as y

or better, f(x) = y

y=x+2

[dull otter]

do you see the pattern now?

[robust mason]

I see

no sadly

[dull otter]

the flat line is the x-axis

we call it the x-axis because it represents the x values

the line which is standing is called the y-axis, it represents the value of the function

[robust mason]

Oh I see

[dull otter]

what is f(1) in this case then

[robust mason]

2

[dull otter]

i mean here

what is f(1)

f(x) = x+2

f(1) =?

[robust mason]

x+1?

Lmao

Sorry for dumb tbh

[dull otter]

f(x) = x+2

f(1) means we are letting x =1 in x+2

so f(1)

?

[robust mason]

Damn my brains fried wait

[dull otter]

ya bro just watch organic chemistry tutor

[robust mason]

Whats that

[dull otter]

you are laughing at yourself

[robust mason]

Thanks for pointing it out

[devout snow]

@robust mason Has your question been resolved?

[devout snow]

@robust mason Has your question been resolved?

[robust mason]

My question has not been solved

[supple knot]

looks like your channel got trolled. can you close and open a new channel with the problem and your current status?

[robust mason]

Alright

.close

[devout snow]

Channel closed

Closed by @robust mason

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.

[devout snow]

What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above

@stark obsidian Has your question been resolved?

[stark obsidian]

.close

[devout snow]

Channel closed

Closed by @stark obsidian

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.

[white wagon]

Ideas to show the sequence -1,1,1-1,-1,1,1,... and sequence -1,-1,-1,-1,1,1,1,1... without using mod?

[white wagon]

Solved.

[supple knot]

.close is the command u want

[sonic smelt]

a_n = 1/3 - 4/3 * cos(2pin/3), starting at n = 0

Not any ideas yet for the second one

[white wagon]

.close

[devout snow]

Channel closed

Closed by @white wagon

Use .reopen if this was a mistake.

[white wagon]

Thanks, this idea is better then mine

[devout snow]

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.

[somber rampart]

Hi, can someone explain this to me?
This seems to be correct:

[somber rampart]

But using the quotient rule I get a slightly different result:

What am I doing wrong? I'm going crazy

[restive river]

would help if you showed what you tried to get there

[supple knot]

,w diff e^(x/2) / (x^2+3)

[woven radish]

Results provided by WolframAlpha

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

Requested by riemann#2529

[restive river]

for one: how did the 2 in the denominator came to be?

[somber rampart]

I just used the quotient rule, so the numerator being f(x), and the denominator g(x):

f'(x)g(x) - f(x)g'(x) / g(x)^2

[torn vessel]

you put the 2 you get in the denominator from differentiation e^x/2
But that only affects the first term, you need to get a common denominator with the second term befor eyou can do that

[somber rampart]

I differentiated e^(x/2) to get (1/2) e^(x/2), and just pulled down the 2

is that wrong?

[torn vessel]

yes

because now it affects the -2x * e^(x/2), which it shouldnt

until you get a common denominator there

[somber rampart]

oh, i see now

aaalright

thank you, that helped

.close

[devout snow]

Channel closed

Closed by @somber rampart

Use .reopen if this was a mistake.

[devout snow]

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.

[soft shore]

https://cdn.discordapp.com/attachments/1004863872685068298/1070076966469902336/image.png

[soft shore]

idk where to start

[restive river]

do you know the definition for a probability density function?

[soft shore]

well

I'd be lying if I said I did

[restive river]

would be helpful to review your notes then

https://en.wikipedia.org/wiki/Probability_density_function

basically, for (a), we use the definition to equate the integral of f(x) to 1

(ie "the sum of the probability of all events is 1")

[soft shore]

hmm I see

thanks for the pointer, I'll review now

.close

[devout snow]

Channel closed

Closed by @soft shore

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 wasp]

I’m not sure where to go from here

[restive river]

make a substitution for 7^(x/2) and solve a quadratic

[quasi wasp]

So are we thinking something like this to solve as a quadratic?

@restive river

[restive river]

yeah

[quasi wasp]

Hmmm how would I turn that 7^x/2 into a quadratic to power 2?

[restive river]

let u=7^(x/2)

[restive river]

what does this become when in terms of u?

[quasi wasp]

That’s smart thinking that. The 7^x/2 would turn into u and -7^x would be -u^2

[restive river]

yup 👍

then its a quadratic in u

[quasi wasp]

Hmm, interestingly I get two imaginary roots, which I know i dont want

[restive river]

hmm

[restive river]

would "stretch of half" perhaps mean that the first line should be y=7^(2x)-12?

[quasi wasp]

I thought when you stretch something by b it meant that f(x) = (bx)

[restive river]

apparently its x/b

the point at x=1 of the old function needs to become x=2 of the new

,w roots x^2-x-12

[woven radish]

Results provided by WolframAlpha

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

Requested by Toby#2275

[restive river]

roots make more sense too

[quasi wasp]

That does make a lot of sense

So now we have -3 and 4

However

[quasi wasp]

The question asks for the intersection y = A

So which value do I sub in

[restive river]

you still have to take logs

[quasi wasp]

Could you drop a hint on how I would continue on to do the logs for it

[restive river]

7^x=u=4

solve for x

[quasi wasp]

That worked well thank you @restive river

.close

[devout snow]

Channel closed

Closed by @quasi wasp

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.

[vital kindle]

if we have a loop that iterates i and j in it like

  for (int j=0; j<10 j++)
    WORK

then this is 10^2 of the work like this
**********
**********
**********
**********
**********
**********
**********
**********
**********
**********

but if the pattern is
for(int i=10; i>0; i--)
  for (int j=0; j<i j++)
    WORK
**********
*********
********
*******
******
*****
****
***
**
*```

[vital kindle]

its not WORK^2 but what is it?

is it like (WORK^2)/2 ?

[restive river]

https://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_⋯

[vital kindle]

thanks

.close

[devout snow]

Channel closed

Closed by @vital kindle

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.

[devout snow]

@proper thicket Has your question been resolved?

[devout snow]

@proper thicket Has your question been resolved?

[soft shore]

cos theorem?

[devout snow]

@proper thicket Has your question been resolved?

[devout snow]

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.

[left zodiac]

Can someone help me with this linear equation

And explain it to me

not rlly

i can

i think

um 0?

um

dontknow🥺

i dont know where the 10 is coming from

oooohh

10

is this connected to polynomials

yes

kinda

i know more than before

wait a min

is it 2?

oh i think its 8

oh wait

I think I got it

if you cant understand handwriting its x^2-16=x^2-8^2-(x-8)(x+8)

<@&286206848099549185>

[devout snow]

@left zodiac Has your question been resolved?

[devout snow]

@left zodiac Has your question been resolved?

[left zodiac]

.close

[devout snow]

Channel closed

Closed by @left zodiac

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.

[pulsar pawn]

Is it the 2nd bullet?

The point is negative for the function but it’s increasing based on the first derivative

[exotic stump]

i think you're mixing up x and y here

[pulsar pawn]

Oh so it’s f > 0

[exotic stump]

yes

[pulsar pawn]

Alright and then f’ > 0

[exotic stump]

yes

[pulsar pawn]

Alright thank you

.close

[devout snow]

Channel closed

Closed by @pulsar pawn

Use .reopen if this was a mistake.

[devout snow]

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.

[green kelp]

General form is ax+by+c=0

Bring the 12 to left side

[devout snow]

@prisma lava Has your question been resolved?

Channel closed

Closed by @prisma lava

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.

[finite stream]

idk how to solve this

[finite stream]

<@&286206848099549185>

[supple knot]

!help

[devout snow]

Please read #❓how-to-get-help

[novel arrow]

<@&286206848099549185> ❤️

[finite stream]

.

[novel arrow]

Like this ? I should ask help ?

I'm new here 🙂

!help

[devout snow]

Please read #❓how-to-get-help

[supple knot]

No. Actually read the link.

[novel arrow]

Ok

[finite stream]

im beyond struggling

[devout snow]

@finite stream Has your question been resolved?

Channel closed

Closed by @finite stream

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[amber aurora]

i don’t even know where to start🤷

<@&286206848099549185>

[green kelp]

As u know distance is speed x time

Just assume that he traveled x kilometres with bus

Then the distance he traveled with car would be 520-x

[amber aurora]

yeah

[daring plover]

Let t = time, let d = distance.

t_bus + t_car = 6h.

d_bus + d_car = 520km.

The two equations for the distances traveled by the bus and the car would be:

d_bus = 80(t_bus)

d_car = 100(t_car)

Then you just have to do some substitution.

[amber aurora]

how

[green kelp]

Ok I'm back

[green kelp]

So the total travel time for bus will be x/80 , and for car it's (520-x)/100

You're given total time = 6 hours

So x/80 + (520-x)/100 = 6

Find x from this

[amber aurora]

idk how

…

4/80+(520-2)/100=6??

[red sierra]

Nah that's too much work

The question asks for the time, so it's much convenient to set the unknowns as the time

[amber aurora]

i remember you jay

[red sierra]

Yeah I remember you too

[amber aurora]

so how do i do this the other guy keeps leaving after saying a couple things

[red sierra]

So the question asks for the time spent on each the bus and the car, right?

[amber aurora]

yeah

[red sierra]

If you say that the time on the bus is x and the time on the car is y

What would x+y be?

[amber aurora]

6

hours

[red sierra]

Good

So x+y=6
That's ur first equation

[amber aurora]

ok

[red sierra]

Now you need to set the second equation using the total distance

Since the bus' speed is 80km/h, how much distance did it travel after x hours?

[amber aurora]

idk

x is an unknown value

[red sierra]

You need to express the distance the bus traveled using x

[amber aurora]

80(x) + 100(y) = 520?

[red sierra]

Great

That's your second equation

Now all you need to do it solve x and y using the system of equations:
x+y=6
80x+100y=520

It's the same thing as we did last time

[amber aurora]

x=6-y

[red sierra]

Great

[amber aurora]

and then substitute

[red sierra]

Yup

Then you'll be able to find y

[amber aurora]

80(6-y) + 100(y) = 520 right?

[red sierra]

Yeah

Tell me when you find y

[amber aurora]

y =2

[red sierra]

Nice

Then you can find x

Did you get x?

[amber aurora]

4

[red sierra]

Great

[amber aurora]

because 6-2 is 4

advanced fr

[red sierra]

So you're answer would be
Time spent on bus: 4hours
Time spent on car: 2hours

[amber aurora]

ty

[red sierra]

Np

[devout snow]

@amber aurora Has your question been resolved?

[red sierra]

.close

[devout snow]

Channel closed

Closed by @red sierra

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.

[thin gulch]

how do i find common denominators of 1/2 + 3/4

[devout snow]

Please don't occupy multiple help channels.

[thin gulch]

??

like factors of both of the 2 denominators?

no idk

ok

there are a lot of common denomaintors?

ok thx

i have another question

how do i represent these fractions like in that picture

a

1 a first

umm idk

it’s b?

nvm wait

i think it’s c?

idk.

i wrote 3/4 and 1/2 idk wym

yea same

it’s c right

help

.close

[devout snow]

Channel closed

Closed by @thin gulch

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.

[summer pewter]

Is this mathematically solvable?

[summer pewter]

Actually these other 2 equations are also available if needed

Wait, x3+y3+z3=36 not 11 😅

[devout snow]

@summer pewter Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[devout snow]

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.

[dense quartz]

How is 3A not congruent

[dense quartz]

Can someone explain how its not congruent for 3A

cause idk the reason for it

[hushed wraith]

the SAS case of congruence requires that the angle be between the equal sides

[devout snow]

@dense quartz Has your question been resolved?

Channel closed

Closed by @dense quartz

Use .reopen if this was a mistake.

[restive river]

BCA and EFD are both acute, so they are congruent tho?

[devout snow]

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 isle]

I can send questions here right :>

[pseudo basin]

you not only can but should lol

anyway

!status

[devout snow]

What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above

[indigo isle]

1 and 3

[pseudo basin]

show the answer you got

[indigo isle]

but this doesnt cover if it was g g b g b b

hmm

<@&286206848099549185> :)

[pseudo basin]

@indigo isle sorry, was away

subtractive counting is gonna be hard here

[indigo isle]

Thats okay!

mhm im listening

[pseudo basin]

the only four ways you can have girls not sitting adjacent is GBGBGB, GBGBBG, GBBGBG, BGBGBG

so 4 * 3!^2 surely

[indigo isle]

yep thats correct, but how did you know to ^2

oh nvmm!! I see it now

You're a star! Thank you!

.close

[devout snow]

Channel closed

Closed by @indigo isle

Use .reopen if this was a mistake.

[devout snow]

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.

[fleet gorge]

All the angles are equal in octagon. Find Area

[fleet gorge]

wrote it.

.close

[devout snow]

Channel closed

Closed by @fleet gorge

Use .reopen if this was a mistake.

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[shy mural]

help please

[shy mural]

lets say f is x^2

and [a,b] is [1,5]

,w sketch x^2 from 1 to 5

[woven radish]

Results provided by WolframAlpha

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

Requested by xXxKrishxXx#1954

[shy mural]

how does that achieve its global max and min

between those 2 points?

<@&286206848099549185> 🙏

[long sundial]

The function is only defined on the domain [a,b], so the global maximum is on that domain.

[shy mural]

oh

oke got it thanks

[devout snow]

@shy mural Has your question been resolved?

Channel closed

Closed by @shy mural

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.

[midnight sluice]

we throw a die n times, let X be the number of times 5 is received, let Y be the number of times 4 is received
express using n the covariance of X and Y

[midnight sluice]

lets see

[
cov(X,Y)=\sum_{x}\sum_{y}((x-\mathrm{E}(X))(y-\mathrm{E}(Y))P(X=x,Y=y)
]

[woven radish]

metnal

[midnight sluice]

im not even sure where to start with this

[violet wind]

I think maybe break X and Y down into events representing individual dice rolls somehow

though I don't really understand the formula. I'm used to E(XY) - E(X)E(Y), is that one allowed?

no, I suppose I get it

[midnight sluice]

yeah its allowed

[violet wind]

In that case, calculate E(XY), E(X), and E(Y) for one trial

One dice roll

Then add up all the rolls using linearity of expectation

[devout snow]

@midnight sluice Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[devout snow]

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.

[thin ravine]

How do I solve this

[sick fulcrum]

,tex \factoid original

[devout snow]

@thin ravine Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[devout snow]

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.

[lethal osprey]

how do i convert the first equation to the second on

[tame ruin]

Given a right angled triangle. Determine the length of the median belonging to the hypotenuse,
if the legs are 12 cm and 16 cm long.

[pseudo basin]

@tame ruin the other person got here first -- youll have to open a new one

oh you did alreadyt

[tame ruin]

ok

[lethal osprey]

yeah

so its -9(....)?

-1

1

yes

i think after multiplying is just -9((-2/3)^n-1)

2x+6

-2x-6

wdym 2 common

2(-x-3)

[restive river]

But (-2/3) is still negative even after multiplying

How come?

[lethal osprey]

so when im multiplying -1 by 9((-2/3)^n-1) im multiplying -1* 9 and -1(-2/3) and -1*-1?

[restive river]

1 is positive

in the second image

[lethal osprey]

im still a little confused

[restive river]

1

positive

But you said that the insides wasnt multiplied but was apparently left out

Thus, i said that 1 is positive which means that it was multiplied

[lethal osprey]

if i multiply it inside the bracket it would be 1(2/3)^n)...

since -1* -2/3^n and -1 *-1

[restive river]

-(-2/3) = 2/3

Makes sense

-2/3

[lethal osprey]

is it possible if you like write it out? i think thats easier for me to understand

ahhhhhhhhhhhhhh

okay nowi get it

wait why did u delete it

ok

yep got it

thx btw the arabic name guy

idk how to @ your name lol

.close

[devout snow]

Channel closed

Closed by @lethal osprey

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.

[short tendon]

hi

[short tendon]

ive tried doing that by subbing A and -9/40 into the tan(a-b) formula but I think thats wrong

any help?

[devout snow]

@short tendon Has your question been resolved?

[short tendon]

<@&286206848099549185>

<@&268886789983436800> sry idk if im supposed to tag you

[wicked rover]

pls dont tag mods for math help

[short tendon]

oh ok

sorry

[polar chasm]

Do you know the formula for tan(A+B)?

[short tendon]

yeah

[polar chasm]

Do you know why this is true?

Does it make sense?

[short tendon]

ohhhhhhhhhhhhhhhhhhh

yeah that kind of makes sense

do you just ignore 9/40

[polar chasm]

And do you know what tan(A/2+A/2) is?

[polar chasm]

Not really ;)

[polar chasm]

?

[short tendon]

2tana/2?

wait no

its that formula no?

[polar chasm]

Which one?

[short tendon]

..

[short tendon]

this one

i meant

[polar chasm]

Forget about everything else, and just focus on simplification of this

There is one very obvious thing you can do.

you could also ignore the tan

[short tendon]

tana?

ahhhhh

[polar chasm]

And do you know what it is?

as a number ;)

[short tendon]

tana?

no

ohhhhhh

9/40

[polar chasm]

correct

[short tendon]

yhhhhhhhhhh

[polar chasm]

So

[short tendon]

then simplify

so you get a to be 0.221314

tysm

[polar chasm]

You are supposed to find tan(A/2)

You shouldn't use arctan I think

[short tendon]

why not

[polar chasm]

You should us formula for tan(A+B)

Which is this thing

It would be too ez if you could just arctan it

[short tendon]

when i put that into photomath i get 0.22

might be so

because its only part (ii) of a q

[polar chasm]

That's true but that's kind of cheating xD

[short tendon]

its acc rly simple im just stupid

and i need sleep

haha

tysm anyway

[polar chasm]

Okay then.

also make sure you turn the A into tan(A/2)

[short tendon]

yep

thanks

.close

[devout snow]

Channel closed

Closed by @short tendon

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.

[plain escarp]

Please help

[knotty bolt]

where are you stuck

[upper schooner]

!status

[devout snow]

What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above

@plain escarp Has your question been resolved?

Channel closed

Closed by @plain escarp

Use .reopen if this was a mistake.

[devout snow]

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.

[keen niche]

(algebra, groups and rings)

[keen niche]

.close

[devout snow]

Channel closed

Closed by @keen niche

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.

[mild basin]

Am I on the right track here for finding the range or way off the mark?

I’m not sure what I need to do for the inverse equation.. isolate y on it’s own, yeah? So is making the inverse equation = 0 a bad idea?

[pseudo basin]

you may have made your life somewhat more complicated here, but i'm not sure to what extent.

probably up to and including the penultimate line there's nothing you could've done significantly better

[mild basin]

Yeah.. this is a long convoluted way to get to the range

[pseudo basin]

wait, you're asked to get the range? just that...?

[mild basin]

Yes

[pseudo basin]

might you be better off finding the extrema by calculussy means

[mild basin]

I thought I would just replace x with the smallest domain value (which is 2) but that’s not correct

[pseudo basin]

that's part of it but not all

the most important part is finding the zeros of f'

[mild basin]

Calculus is used to find range?

What I mean to say is, calculus is more effective than algebra for finding range?

[pseudo basin]

for such mildly-complicated functions, yeah, i'd say so.

[mild basin]

Finding the range can always be done both ways, however right? Via algebra or calculus

[pseudo basin]

with algebra you may struggle a lot

[mild basin]

Yes, which is where I am at

I’m looking at =0 and thinking it may give some false positives

I could divide and multiply the left hand side as much as I want, to remove terms, and it will still equal zero

But that may also be risky and could be eliminating answers, I’m not sure…

[mild basin]

I keep hearing typically don’t wanna do a lot of this for equations that = 0.. not sure if that’s true

The right hand side will always be zero, so long as you are not dividing by a variable

I guess I have run into my “limit” with algebra. Time to learn calculus to help solve range

https://tenor.com/view/yeah-csi-cs-iyeah-sunglasses-deal-with-it-gif-5456560

[devout snow]

@mild basin Has your question been resolved?

[radiant drift]

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[devout snow]

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.

[uncut quarry]

Hello

[uncut quarry]

Any help on how to prove this?

[vast latch]

Can anyone help?

[uncut quarry]

Man find another channel

[supple knot]

!help

[devout snow]

Please read #❓how-to-get-help

[supple knot]

and delete your message

[supple knot]

what are the conditions on a,b,c?

[uncut quarry]

They belong to R*

[low holly]

prove $a^2 + b^2 + c^2 \geq ab + bc + ca$

[woven radish]

tushar

[uncut quarry]

Ok and after that?

[low holly]

set a := a/b, b := b/c, c := c/a

[uncut quarry]

Ah ok i understood

Thanks man

.close

[devout snow]

Channel closed

Closed by @uncut quarry

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.

[neon folio]

Can a log have a negative result?

[slow mist]

yeah

it can

but it can't have a negative input

[nova ibex]

^

[neon folio]

Ok thanks

.close

[devout snow]

Channel closed

Closed by @neon folio

Use .reopen if this was a mistake.

[slow mist]

@uncut quarry chill man he closed

[uncut quarry]

I did nothing man

[neon folio]

You can add something if you want

[devout snow]

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.

[fiery thorn]

I am currently working in my math investigation for school. My inicial idea was to model access ramps and use optimization to find the best relationship between values (like length, cost, gradient etc) but after some drawing and starting my calculations I realized that all the ideas I had have a linear relationship. I am stuck on how to approach this investigation. I am open to suggestions or just your thoughts wether this topic is worth pursuing. thanks

[jaunty mantle]

Looks like you want a multi input function?

[fiery thorn]

im not sure what that is

[wooden veldt]

this is a pretty hard question to answer as we don't know what your school want from you in an "investigation"

[fiery thorn]

its from the IB diploma programme it is for the Internal Assesment

[jaunty mantle]

[supple knot]

do you have any math that you need help with?

[fiery thorn]

I am struggling with ideas to then actually create a rough draft

[jaunty mantle]

Actually I want to ask

[supple knot]

this is probably better for #discussion

[jaunty mantle]

How is your gradient thing a linear relationship

I’m pretty sure most escalators are only 30 deg

Going any higher pretty much makes it impossible to climb at all

And escalators have steps

[fiery thorn]

what i found was that access ramps have a gradient between 1/12 and 1/16

and I couldn't equate it to another variable without the linear relationship

[jaunty mantle]

Also, isn’t length directly linked to the gradient

[fiery thorn]

yeah

[jaunty mantle]

I think the main problem here is a not very well defined “best relationship between values”

Best based on what?

[fiery thorn]

My idea was to use 3 factors as the judge of that which would be the length someone would have to walk to reach a specified height (I was thinking of climbing 3 meters in height) the cost of building it assuming it was just concrete and the gradient of the ramp