help-0

[ocean seal]

Steakanator

[marble saffron]

i don't think so

[solemn juniper]

How have left- and right-hand limits been shown to you?

[marble saffron]

okay well, a quick university lecture

let me see

[waxen spruce]

Sorry for asking aquestion

Forgot that thats arule

[marble saffron]

@solemn juniper okay well it uses a ">" sign or a "<" however I know how the notation that you presented works aswell

[solemn juniper]

If that notation is accepted, then your prof should accept that $1^--1<0$ and $1^+-1>0$ so you can write the limits pretty easily

[ocean seal]

Steakanator

[marble saffron]

alright, thank you

[waxen spruce]

Ok now let me ask my question sorry for innterruptions

Quick question- how can you solve this type of question (calc ab)
At what points on the curve f(x)=__ is the slope equal to __

f(x) = and the slope is equal to ___

[sand geode]

Hi guys.. I need help with some stats here
I would like to find the expected (mean) value.
\mu=E(X)=\sum x_if(x_i)

Given that the probability of getting 4 heads in 6 tosses of a fair coin is 15/64

[iron shuttle]

i am joining

rn

tell me is this all

u have of the question

[waxen spruce]

No I can give you an example Sorry

So heres the example

"At what points on the curve f(x) = 12/x is the slope equal to -4/3"

[iron shuttle]

x=3

[waxen spruce]

Yeah, but how would you find that

[iron shuttle]

and -3

do u know how to differentiate?

[waxen spruce]

Like power rule?

Can you do it without that

[iron shuttle]

how advance r u in probability?

[iron shuttle]

yes

[raw shard]

@waxen spruce 12/x = 12x^-1

[iron shuttle]

do u know basic definition of differentiation

[raw shard]

also don’t tell them the answer @iron shuttle

you can help but don’t give answers

[waxen spruce]

Uh like finding the derivative?

[raw shard]

yeah that’s what they mean

[iron shuttle]

yes

its like

[waxen spruce]

🤔 Im still confused

Wat would u do from there

[raw shard]

if you’re still confused i can’t help you lol

[iron shuttle]

f(x+h)-f(x)/h

[waxen spruce]

Ohhh

Find the derivative

[raw shard]

yeah

[iron shuttle]

where h tends to 0

write it like that

[sand geode]

lol the Tex code doesn't compile. thi is the formula for the expected value

[iron shuttle]

12/(x+h) -12x

[iron shuttle]

i know

[waxen spruce]

Ok i got -12/x^2

[iron shuttle]

listen

first of all u have is a biased coin

[sand geode]

@iron shuttle we're covering Empirical Distributions just now. Undergrad stuff. Why odo you ask?

[waxen spruce]

Oh wait

Im so dumb

Lmao

Lmfao 😭 The wording of the question got me

Thanks yall

Cya

[iron shuttle]

@sand geode

[sand geode]

Yes

[iron shuttle]

see

can u find probabilty of heads?

in tossing a single time

[sand geode]

1/2

[iron shuttle]

no

u have a different coin

not a perfect one

[waxen spruce]

@iron shuttle Thanks alot I got teh answer 🙏 I just had trouble reading it

U helped me thans

[iron shuttle]

so probability of getting a head

no problem

[iron shuttle]

just be more clear next time

[iron shuttle]

see

here

prob of getting heads is

x

and it can be found from equation

x^4 (1-x)^2=1/64

which is 1/2

but point i am trying to prove is

[sand geode]

that's what i said

[iron shuttle]

but u took it forgranted

that coin is a perfect one

i hav seen such questions

where sometimes

u eed to solve equations

to get probability of heads is 2/5

3/4

[iron shuttle]

what was the rest of ur question

[sand geode]

Expected value

[iron shuttle]

like

expected value in what experiment

where u toss it 6 times?

?

[sand geode]

yes

[iron shuttle]

expected value of getting a head

u already provided formula

for it did u not?

[sand geode]

4 heads

in 6 tosses

[iron shuttle]

i think

its 15/16

am i correct?

@sand geode

[sand geode]

i dunno. how did you get that?

[iron shuttle]

just put x=4

and f(x)

15/64

but there is a chance that either one of us is having diffuculty perceiving

what the question wants to convey

language barrier

its mostly in question like these

where u have to add getting expected value in a whole

not 4 heads

but

as well as

1

2

3

5

6

@sand geode

tell me the solution

if u might

[iron shuttle]

oh

[sand geode]

i do not have the solution. still working on it

[iron shuttle]

its expected

value of getting a head

mate

solution

expected value of getting like 1 head

x=1

and f(x)=1/64

and so x=2

and x=3

[fast oak]

equation of ellipse witch each set of caharacteristic. Vertices (-7,-3),(13,-3) foci (-5,-3),(11,3) what is the center of the ellipse

[sand geode]

@iron shuttle I got it. Using that equation and using the understanding of the expected value the answer is the number of tosses times the probability of getting a head in a single toss

[iron shuttle]

whats ur solution

[sand geode]

3

[iron shuttle]

yep

ur correct

[sand geode]

thank you so much for the help

[iron shuttle]

hey

u up

it needs to be(11,-3)

@fast oak

@fast oak

anyways

[fast oak]

ye

sorry

can u show pic to how u solve

[iron shuttle]

its

literally

middlepoint

[fast oak]

or explain how to oslve with step

[iron shuttle]

of vertices

or focii

[fast oak]

i need to find the center of ellipse

[iron shuttle]

yes

it is

(3,-3)

ain't it?

middle point

of vertices

[fast oak]

vertice (-7,-3) , (13,-3)

foci (-5,-3) , (11,-3)

what is the center of the ellipse

[iron shuttle]

take

midpoint

@fast oak

how old r u btw?

[fast oak]

16

[cerulean vine]

x scale is 2cm to 1 unit and y scale is 2cm to 4 units

[iron shuttle]

no one can help u

in here

just put values of x

and find particular values of y

[fast oak]

ok

[iron shuttle]

no

it was not for u

[cerulean vine]

i dont get the undefined once

[iron shuttle]

i just wanna ask

[iron shuttle]

did u seriously get a number

dividing by 0

[fast oak]

equation for ellipse?

[iron shuttle]

how bad is ur maths

[fast oak]

my average in math is 78

[cerulean vine]

no but im asking

[fast oak]

😦

[cerulean vine]

because im not familiar with undefined in a table graph

[iron shuttle]

what do u get

deviding a number by 0

[cerulean vine]

math error ofc

[iron shuttle]

do u know

about desmos

[iron shuttle]

i am sorry

what country r u fromm?

[cerulean vine]

yes

[cerulean vine]

i am using it rn

[fast oak]

us

[iron shuttle]

u no longer need my help

friend

[iron shuttle]

are u white?

[cerulean vine]

really? so do i just ignore the undefined thing?

[fast oak]

brown

[iron shuttle]

mexican

?

[fast oak]

ye

[iron shuttle]

guy?

[fast oak]

ye

why u ask?

[iron shuttle]

listen

brother

focus on school

else u will get killed

[fast oak]

i dont understand

[iron shuttle]

like george floyd

one day

[cerulean vine]

wth

dude

why

are you saying his

this

[iron shuttle]

the question u asked wass very easyyyyyy

[fast oak]

ok how

u solve

[iron shuttle]

do u know how to find midpoint

brother

[fast oak]

ye

[iron shuttle]

so do u know

center is midpoint

of vertices

[fast oak]

yes

[iron shuttle]

nope

[cerulean vine]

then?

[iron shuttle]

and u know the vertices

[iron shuttle]

why do u even ask then

[iron shuttle]

try tending the graph

like

[fast oak]

point?

[iron shuttle]

x=0

[fast oak]

high

ohhh

[iron shuttle]

are u ashamed now?

[fast oak]

no

[iron shuttle]

i would

[fast oak]

why

[iron shuttle]

have jumped

from roof

if i were u

[fast oak]

broo are u racism

[iron shuttle]

i am brown too

mate

@cerulean vine do u understand now?

[fast oak]

so u hate white,black

[iron shuttle]

only

black

[cerulean vine]

tending?

[iron shuttle]

yes

like

try to approach

line x=0

[fast oak]

why u hate?

[iron shuttle]

but never ever exactly

touch it

[iron shuttle]

color of the skin

[fast oak]

broo

[iron shuttle]

i don't find blacks beautiful

[cerulean vine]

bro

Bro

please dont be racist

[fast oak]

i like any type of pple if they black,white or any

if the pple is good to me

[cerulean vine]

yes

[cerulean vine]

bro dont say this in this server or youll get banned

[iron shuttle]

u seriously need a doctor lol

[fast oak]

nah

[iron shuttle]

i am just trolling u guys

[fast oak]

i have friend white,black and other foreign pple

[iron shuttle]

i have friend black

brown

and white

too

[fast oak]

so why u hate black nad other race?

[iron shuttle]

cause

they appear dirty

and ugly

[fast oak]

that natural

[iron shuttle]

natural to hate balcks?

[fast oak]

no

their skin

is natural

[iron shuttle]

they can keep my eyes out of misery

by just dying

[fast oak]

i think u need to check up

[iron shuttle]

nope

i like being neo nazi

[fast oak]

ohh nazi

so u are a high race

xd

[iron shuttle]

i feel

every race is good

except sub saharan african

[fast oak]

supremacy

[iron shuttle]

thank u

proud of that

[fast oak]

me not

I accept what race they are

[iron shuttle]

hey kid

i am trolling

[fast oak]

i know

[iron shuttle]

do u not get it

[fast oak]

i know bro

this is 20th

ok im going to solve my problem

[iron shuttle]

hey

seriously

i did everything

what will u solve

how old are u?

do u not know

u need to be 13+

for using discord

[fast oak]

yes

tyu i

[iron shuttle]

its c my friend

4

and 360

do u need more justification?

[waxen spruce]

Question-
How can 1/(x-1) have a derivative that exists if it has a discontinuity?

[iron shuttle]

it does not

on x=1

[waxen spruce]

but it can have a derivative everywhere else, correct?

[iron shuttle]

r u a girl?

[iron shuttle]

yes brother

[waxen spruce]

ty 🙏

[short thistle]

Could you help me?

[fast oak]

foci is ( ) ?

[iron shuttle]

3

and-3

[iron shuttle]

only if u r a girl lol

[fast oak]

XD

[short thistle]

…

[iron shuttle]

tell me

how do i help u mate

[mellow wren]

Schrodinger s cat

I need help too

Very quick

[iron shuttle]

hmm

[mellow wren]

Shit

[iron shuttle]

sure

[fast oak]

lol

[iron shuttle]

u are booby

i will definitely hlp u

[mellow wren]

Yes

Anyways

Would I multiply -5 by 10

Or no

[iron shuttle]

no

[mellow wren]

So I only multiply a/10

And -4?

[iron shuttle]

no

how do u not have kids at 13?

[fast oak]

:0

[mellow wren]

Bro I'm not trying to call a hoe

And I ain't tryna become one either

So I'm doing algebra 1 at 5 am

[tall bluff]

help pls

Lorna has saved ₱150,000. She invested part of this in bonds at a 5% interest rate and the remainder in a bank at a 3% interest rate. Her total annual income from the investments was ₱6,100.

How much did Lorna invest in bonds at a 5% interest rate?
How much did Lorna invest in a bank at a 3% interest rate?

[iron shuttle]

what is that currency

[short thistle]

Is y=2x+5 direct variation?

[iron shuttle]

6

[tall bluff]

pls help mee

[iron shuttle]

let it be x

so when u divide

18 and 30 by x

u must get a natural number

find all possible values of x as possible in denominator

18/x

30/x

[iron shuttle]

here x can be 1 2 3 6 18

[iron shuttle]

here1 2 3 5 6 10 15 30

use the highest common value

@tall bluff

u there

[raw shard]

do it yourself

we aren’t here to do your homework

also stop posting the same question in 5 channels

[iron shuttle]

i shall help u

only solutions

no explanantions

[fast oak]

vertice is the last dot and the forci is in the middle??

[iron shuttle]

no

center is in middle

[fast oak]

vertice .-----------.forci----------

[iron shuttle]

not like that too

focus

is not midpoint

of

vetrtice

and center

[fast oak]

wait example vertice ( 8 and forci is ( 5

vertice 8 7 6 forci 5 4 3 2 1 0 1 2 3 4 5 6 7 8

[iron shuttle]

ur not making sense

[fast oak]

wait

im doinng ellipse in my notebook,

i mean graph

horizontal

vertice ( -7,-3) ( 13, -3) foci (-5,-3) (11,-3)

a= 13 b=11

[mellow wren]

@fast oak

[fast oak]

?

[mellow wren]

So I have -8m+5<8-8m-3

What is my next step

[devout carbon]

Is this some exam?

[iron shuttle]

yes nob

moob

noob

[dusk solstice]

What’s the surface area of a cube that’s 125cm^3

[icy birch]

150 cm^2

the question is ez bro 🙂

[dusk solstice]

How do I find it out

How do I find the volume of something

Also what’s an inequality

@icy birch

[icy birch]

V = s^3, where s is the edge length of the cube.

[jade birch]

Find the length of the side, then find the area of one side and multiply that area by 6 because a cube has 6 sides.

[short thistle]

Is y=2x+5 direct variation? I can't solve that problem

[jade birch]

Do you know what a direct variation is?

[alpine sable]

what is the volume?

I did 100 x 50 x 60

100 x 50 x 90

100 x 50 x 30

split it up into composite shapes, and calculate the volumes seperately, then add them together

yeah that's what I did

I split into three cuboids

does the math look right

[short thistle]

Yes

[alpine sable]

neeraj

[jade birch]

Then you'd know if it is or isn't a direct variation, I assume?

[alpine sable]

alright I'll do the question and tell you what i get

I got 900,000 cm^3

but that's wrong

idk what my mistake is

does the question ask for specific units?

yeah the units are provided

cm

the answer key says it's 900cm^3

[icy birch]

i also calculate 900000 cm^3

[alpine sable]

I got 900,000 cm^3

so idk what went wrong

[short thistle]

If that variation has constant term, isn’t that variation direct variation?

[alpine sable]

Neeraj what did u get

yeah i got the same, the method is correct

[jade birch]

If it's of the form y=kx, then it's a direct variation

[alpine sable]

not sure why the answer says 900cm^3

it says 0.9m^3

idk if it makes a difference

ohh

I converted it to cm ^3

yeah that makes a difference

why

so the answer says 0.9m ^ 3

?

yeah

in the answer key

[jade birch]

[alpine sable]

yeah, you have to convert all your measurements to m first

why can't I just convert the cm answer to m

oh wait I think I see

I converted units wrong

cm and cm^3 different

yeahh

[mellow wren]

Excuse me

I don't know

[alpine sable]

neeraj yup I got the answer

thanks

[alpine sable]

vertical line test

900,000/1,000,000

0.9

[alpine sable]

yeppp

[mellow wren]

I still don't know

Is it a function or no

[alpine sable]

it is a function, if you draw a vertical line anywhere on the graph and it passes through the line twice then it's not a function, thats how you tell

[maiden saffron]

Help

My friend did this

But I need help

[mellow wren]

Us too

Like 1 week ago

[alpine sable]

which question are you stuck on?

[maiden saffron]

All

[alpine sable]

the slope is the change in y divided by change in x

pick any two points on the line

then find the change in y and change in x

that's what the triangle your friend drew means

Someone help

@alpine sable

[void solar]

reflect on what axis?

[alpine sable]

Idea

Idek*

i need help with a math question
6/x = 2x+20/5x (its in fractions if that matters) and the book says its 5 but how can it be 5? i multiply everything with X

[sacred bluff]

woah

[fast oak]

so hard to do ellipse

[sacred bluff]

ye

[fast oak]

?

[sacred bluff]

i-

just forget it

[fast oak]

vertice and foci then find the center

ahh

[flint badger]

???

[untold aurora]

Hey guys
I need to write a archer AI that can hit targets
For the rotational direction there is already a utility I can use
but how can one express the needed force(green arrow)?
So I can implement it in c#

[edgy cipher]

is this correct?

<@&286206848099549185>

how about this

@hushed pasture

[hushed pasture]

no my bad that's not

[edgy cipher]

which one would it be?

[hushed pasture]

well the differentiation is right, but the domain of x isn't right

the answers is the last one

did you spot why?

[edgy cipher]

yea i see it now

how about for the second 1

[flint kettle]

How do I correctly calculate the derivative of an equation

$$f(t) = t^3e^{2t}$$

[ocean seal]

curious_coder

[rigid smelt]

what have you tried?

[wicked flint]

help

im stupid

[rigid smelt]

channel is occupied, please move

[wicked flint]

mk

[flint kettle]

The power rule -

I just can't grasp it

[rigid smelt]

that is wrong

your function is a product (of two separate function)

hence you must use product rules

[flint kettle]

What do you mean

[rigid smelt]

have you learnt product rule?

[flint kettle]

I don't know what that is

Is that the set equation where you plug in the values

[rigid smelt]

ok, call u and v functions of t, then the derivative of u*v is u'v + uv'

u' and v' are derivatives of u and v respectively with respect to t

here, i will call u(t)=t^3 and v(t)=e^(2t), can you apply the rule i have said?

[flint kettle]

What rule

[rigid smelt]

.

(uv)' = u'v+uv'

i hope you are familiar with this derivative notation

[flint kettle]

Yeah but I have no idea what I need to do

[rigid smelt]

just apply it

[rigid smelt]

ok lets start from here

[flint kettle]

How when I don't know u or v's derivatives

[rigid smelt]

can you find me the derivative of u?

[flint kettle]

With the power rule - no idea how to do that with the product rule

[edgy cipher]

can someone help me with this

im lost

[rigid smelt]

im not telling you to do it with the product rule

just differentiate u like how you normal would

[flint kettle]

$$u' = 3t^2$$

[ocean seal]

curious_coder

[rigid smelt]

yes

and what is the derivative of v?

[flint kettle]

$$v' = 2 \cdot t \cdot e$$

[ocean seal]

curious_coder

[rigid smelt]

definitely not that

the derivative of e^t with respect to t is e^t

e^(2t) is the same thing with chain rule

[flint kettle]

chain rule

[rigid smelt]

you really should review your derivative rules

[flint kettle]

I'm just learning them now 😂

[rigid smelt]

im just saying

[flint kettle]

No idea what's going on with the 'chain rule'

[rigid smelt]

you should review the basics first, there are many websites online and online resources where they have a good revision of this

its very very necessary to get those down first before doing this

this problem might be a bit too advanced for you

[flint kettle]

Seems really complicated - n

[rigid smelt]

practise separately on chain rule and product rule specifically, try to do the chain rule very smoothly first and then practise product rule, and then do problems that use both these rules

[flint kettle]

i need to learn it

[flint kettle]

okay

[alpine sable]

There is an epic video by 3b1b about chain rule and actually all dErIvAtIvE rules. Maybe check it out rn.

[rigid smelt]

at this point it doesnt seem like learning anymore but its just me spooning you formulas and rules which is very very unhealthy

[alpine sable]

Maclaurin series of $a^x:=T=a^0\sum_{k=0}^{\infty}\ln^k(a)k!x$

$$\therefore \dv{T}{x}=\dv{x}(1+\ln(a)x+\ln^2(a)2!x^2+\cdots)$$
$$=d(1)+d(\ln(a)x)+d(\ln^2(a)2!x^2)+\cdots$$
$$=0+\ln(a)+\ln^2(a)2!2x+\ln^3(a)3!3x+\cdots$$

I think I am doing something wrong.

[ocean seal]

tan(π/2) = 1.6331239353195E+16

[rigid smelt]

you might want to post that in an advanced channel since this channel gets flooded a lot

[flint kettle]

okay, thx

[alpine sable]

It's just the last step. Do you know about Taylor series?

[rigid smelt]

yes but im not feeling like doing it right now

[alpine sable]

Umm okay, I was just messing around with it since I learnt series expansion very recently.

I was trying to prove d/dx (a^x) = a^x ln(a).

[rigid smelt]

you can just do it using first principle which is quicker

[alpine sable]

Everything so far seems fine except the last step because I expected to take ln(a) common and we would end up with
ln(a)[the expansion] = a^x ln(a).

[alpine sable]

What first principle?

[rigid smelt]

aka definition of derivative

or limit definition of derivative

[alpine sable]

My main goal is to mess up with this series.

[rigid smelt]

sure

[alpine sable]

That's just too easy.
a^x((a^h-1)/h).

[rigid smelt]

good luck on it

yes, thats why i said its much quicker

[alpine sable]

Can you just check the last step of my addition?

2!2 and 3!3 is what makes me worry.

[rigid smelt]

like i said i really i dont wanna have to check that right now lol

[alpine sable]

Ah, nvm then. I will just wait for someone.

[rigid smelt]

sure repost it

[alpine sable]

Maclaurin series of $a^x:=T=a^0\sum_{k=0}^{\infty}\ln^k(a)k!x$

$$\therefore \dv{T}{x}=\dv{x}(1+\ln(a)x+\ln^2(a)2!x^2+\cdots)$$
$$=d(1)+d(\ln(a)x)+d(\ln^2(a)2!x^2)+\cdots$$
$$=0+\ln(a)+\ln^2(a)2!2x+\ln^3(a)3!3x^2+\cdots$$

I think I am doing something wrong.

The 2!2, 3!3 makes me worry.

[ocean seal]

tan(π/2) = 1.6331239353195E+16

[edgy cipher]

is this right

-5pi

[alpine sable]

NVM this. I just realised my mistake.

[flint kettle]

Where

I'm going through his calculus playlist but haven't come across it yet

[coarse hill]

Stupid question- but is the derivative of the volume of a sphere (v= (4/3pir^3) is it - 4pi(r^2)

[flint kettle]

$$v = (\frac{4}{3}\cdot pi \cdot r^3) \cdot 4\cdot pi(r^2)$$

[ocean seal]

curious_coder

[flint kettle]

srsly

[alpine sable]

can i get some linear algebra help?

[wary stream]

Of course not, in this math help server, no one can help with linear algebra \s

[alpine sable]

seems like it isn't

[alpine sable]

4pi r²
dErIvAtIvE of volume = surface area

For sphere

Or most figures if they're unitary, my postulate.

[alpine sable]

“We have WolframAlpha now prof.” - me.

[lapis sluice]

I assume this is open

[analog juniper]

can someone help me with an exam🤨

[lapis sluice]

go to questions 3

[analog juniper]

oh okay

[lapis sluice]

I need help not knowing how the f*** to proove that:

$$\left|\frac{e^{iz}+e^{-iz}}{2}\right|^2+\left|\frac{e^{iz}-e^{-iz}}{2i}\right|^2 = 1$$

[ocean seal]

Danajax

[lapis sluice]

how do i find the absolute values of those fractions?

[alpine sable]

cos^2+sin^2 = 1?

[lapis sluice]

$z \in \bC$ so i need to convert what is inside of the fractions to be a complex number because i need to find the modulus

[ocean seal]

Danajax

[lapis sluice]

no, cause $z \in \bC$

[ocean seal]

Danajax

[lapis sluice]

need to prove it

[wary stream]

Isn't that just Euler's complex formula concept?

[lapis sluice]

idk

ill show you my task

and i am stuck on $$\left|\frac{e^{iz}+e^{-iz}}{2}\right|^2+\left|\frac{e^{iz}-e^{-iz}}{2i}\right|^2 = 1$$

[ocean seal]

Danajax

[wary stream]

I think it has something to do with Euler's formula but not entirely sure

[lapis sluice]

because i need to prove that $$z \not\in \bR \implies |cos z| ^2 + |sin z|^2 \not= 1$$

[ocean seal]

Danajax

[alpine sable]

$e^[z]*e^[w] = e^[w+z]$

[lapis sluice]

perhaps de moivres formula

[alpine sable]

$e^z*e^w = e^{w+z}$

[ocean seal]

Elfenkaiser

[alpine sable]

and use the sum for $e^x$?

[ocean seal]

Elfenkaiser

[lapis sluice]

but there is no * in the expression

[alpine sable]

welp

use de moivres

[lapis sluice]

but what about $i$

[ocean seal]

Danajax

[lapis sluice]

should i just write in the numerator like:
$\cos iz + \sin iz$

[ocean seal]

Danajax

[lapis sluice]

would not make any sense

oooohh

you mean like:

$e^{iz} = e^i \cdot e^z = \cos i + \sin i + \cos z + \sin z$

[ocean seal]

Danajax

[wary stream]

Euler's formula is $$e^{i \phi}= cos(\phi) + isin(\phi) $$

[lapis sluice]

yes

[ocean seal]

dldh06

[lapis sluice]

wait is it with the i?

oh shit

then that makes it hella easier

thx

[lapis sluice]

totally forgot about the i, thx man

[wary stream]

That is a necessary part of Euler's formula

[lapis sluice]

$$\frac{\cos z + i\sin z + \frac{1}{\cos z + i\sin z}}{2} + \frac{\cos z + i\sin z - \left(\frac{1}{\cos z + i\sin z}\right)}{2i} = 1 $$

[ocean seal]

Danajax

[lapis sluice]

yes it is only me that is rusty

[lapis sluice]

that is way easier now, phew

[upbeat portal]

can someone help me with this plz

[lapis sluice]

what is your problem

ok

so you know that f' shows the top and bottom points

and that f'' shows the top and bottom points of f' and the turning points of f

[upbeat portal]

yes

[lapis sluice]

so look at the graphs

start comparing a and b

[upbeat portal]

a is f'?

it shows top and bottom

[lapis sluice]

yes a is either f' or f''

now compare a and c

[upbeat portal]

i think c might be f

[lapis sluice]

why so?

yes it certainly can be, but you should not think you should know

[upbeat portal]

it doesnt look like a or b

[lapis sluice]

just want you to argument for yourself ok

ok so if c is f

does it match that a is either f' or f'' and b is either f' or f''

that is what you need to ask yourself

[upbeat portal]

ok

[lapis sluice]

can i hear your solution?

[upbeat portal]

ah sorry i was looking at graphs on desmos

i noticed a trend where f'' is straight most of the time

like the graph of the function tends to be a flat or straight line

so i think c is f''

actually nvm

b is f''

[lapis sluice]

i think you are wrong

[upbeat portal]

a is f'

and c is f

[lapis sluice]

c is definitely f

conclusion

then lets look at a and b

[upbeat portal]

ok

[flint bone]

yo i need help

[lapis sluice]

have you considered that a is f''?

[upbeat portal]

yes

[flint bone]

someone help me

[lapis sluice]

I think a is f''

[lapis sluice]

what do you need hekp with?

[flint bone]

uh first one

a

i need to find coordinates of Q

[lapis sluice]

so find it

we don't give solutions

[torn sigil]

I can’t take it anymore

please

help

this probably is easy for you guys but I had a 2 year long school break because I moved countries a lot and my grade wasent the same as before,

so I missed the beginnings of algebra/symmetry/percentage

[lapis sluice]

this is not math

that is like architecture

[torn sigil]

my math teacher gave me it sorry then.

[lapis sluice]

i am not an architect so i can't help you, and neither do i know french

[torn sigil]

it’s okay thanks tho.

[iron shuttle]

hi

i only help girls

are u one?

@hazy knoll

[hazy knoll]

...

no

[iron shuttle]

hmm

nvm

i willstill help you

[hazy knoll]

bruh

xD

[iron shuttle]

can u differentiate

y

[bitter swan]

Simp, just tell me smthing

[hazy knoll]

wdym

[iron shuttle]

can u find

dy/dx

[bitter swan]

I need just a little help, its kinda clear yet not clear

[hazy knoll]

y = -1 and y = 2x -3?

[iron shuttle]

listen girl

[bitter swan]

Yes

[iron shuttle]

yes

now find value of x

where both slopes are equal

[hazy knoll]

-1 = 2x -3
2x = 2

x = 1

[iron shuttle]

yes

find y

for x=1

[hazy knoll]

y = 2(1) - 3
y = 2 - 3
y = -1

[bitter swan]

Yes

[hazy knoll]

How does that help the question im confused

[gray isle]

it doesn't help

[bitter swan]

Wait a sec how did you deprive these values?

[hazy knoll]

dy/dx

?

I dont really get why we did that step im just following what he's saying

[gray isle]

it doesn't help

[hazy knoll]

Can you explain it

[iron shuttle]

hey

wait

i shall expalin

[gray isle]

go through the basic steps for finding intersections of curves

[bitter swan]

That step was unnecessary

[bitter swan]

Yall just

[iron shuttle]

eleanor

[bitter swan]

Yes

[iron shuttle]

i have trouble understanding

u can solve his query

and u ask me so easy qustions

[bitter swan]

Ohk what grade are you?

[iron shuttle]

just cleared high school

ok sorry i misread the question

[bitter swan]

Dayum this is actually soo easy but i just need to get confirmation, it's 10th grade

[iron shuttle]

ik

[iron shuttle]

hey

i will write each step

[dull onyx]

hi can i ask here or

[bitter swan]

Yes you can

[dull onyx]

kay

If the function g is continuous at/on the point x_0 = 0 prove that the function f(x) = x + xg(x) is differentiable at that point

im kinda confused >_<

[alpine sable]

calculate f(x_0 + h) - f(x_0), then divide it by h i guess

[dull onyx]

why would i do that

im confused

[alpine sable]

f(x) is differentiable is x_0 if the ratio ( f(x_0 + h) - f(x_0) / h) as a limit when h tends towards 0

here, making this calculation, i guess the limit will exist because g is continuous at than x_0

[dull onyx]

weve only done f(x) - f(x_0)/x-x_0 before

[alpine nacelle]

It's the same, written differently

Set h = x-x_0, and you get Laurine's formula

[dull onyx]

oh

thx

well im still lost

[alpine sable]

anyone knows how to make this in geogebra

[dusky rain]

essentially find the points where they intersect by solving 5-x=x^2 -3x +2 to find x values then plugging those x values into one of the line equations to find the y values and once you find the two points at which they intersect you should do use the pythagorean theorem to find the distance (the gradient between those two points would be your base and height)

and i got k=4

[subtle seal]

Anyone knows what was done to pass from the first line to the second?

[coral wren]

i know this is not so advanced equation but,i dont know how to solve this, i have 4 apples 6 peaches and they all weigh 1900 g combined, how much does one apple weigh and how much does a peach, when a peach is 50g heavier than an apple

i can get the answer no problem, but not with a formula

[subtle seal]

@coral wren solve the following system: 4a+6p=1900 and p=a+60

[coral wren]

btw i said 60 but its 50

x+50g

[subtle seal]

should be that yeah'

[coral wren]

idk what the next x should be tho

[subtle seal]

To simplify the process of turning problems into solvable equations; try to not limit your variable to be x or y; the variable can be any letter of your liking. and to simply matters even more you can make the variable the first letter of the object in question. And to directly answer your question, Here we have two unknowns. The mass of the apple and the mass of the peach, therefore we have to assign a variable for each. a variable x for apple mass and a variable y for peach mass.

or to ease things use A for apple and P for peach.

[coral wren]

yea i get that but the teacher wants it in a certain form

like x +x+x+x =

or something

lets assume that x+50g

[subtle seal]

so we have a system of two equastions. 4A+6P=1900g and P=A+60

well in that case, it would be 6y+4x=1900 y=x+50

[subtle seal]

did you study system of equations?

[coral wren]

can i find that online?

the teacher does a test every week, and i cant keep up

[subtle seal]

https://www.youtube.com/watch?v=oKqtgz2eo-Y&ab_channel=TheOrganicChemistryTutor

[coral wren]

he is spitting fax

[brave urchin]

is this a first order-linear differential equation? or does it have to be y' +p(x)y

[coral wren]

i might understand what he is doing in there but what i have on the test is alot different

[dusky rain]

what do you have on the test

[coral wren]

well another one is: guy 1 has 2 times less money than guy 2, and guy 2 has 3 bucks more than guy 3, they all have 29 bucks altogether, how many does g1, g2 and g3 have

[dusky rain]

what do you mean by two times less though

[coral wren]

thats the equation

[subtle seal]

x=2y x=3+z and x+y+z=29

three equations here

[brave urchin]

anyone know my questions please?

[coral wren]

is this what i wrote but jsut in numbers

[coral wren]

fax, someone should help

[dusky rain]

do you know what algebra is..

[coral wren]

bro i am not 24

okay

and second, i english is my third or fourth language

[dusky rain]

makes sense

well algebra is essentially when u represent unknown things as letters

so if i said 2x=1

what would x be

[coral wren]

o,5

0,5

[dusky rain]

yeah

[coral wren]

i got the basics

but i just dont get the system of equation

[coral wren]

or whatever its called

[marble saffron]

from step 2 to 3

how do you know abs(x) should be -x

[subtle seal]

look at what x tends to

x goes to negative infinity

[coral wren]

this guy asked for help and is now helping others

[marble saffron]

okay but when you then later fill in -infinity for x, doesn't that lead to a double negation

[coral wren]

how old are you?

[marble saffron]

why

[coral wren]

just wondering when that kind of an equation came up for you

[marble saffron]

I'm 20

uni

[coral wren]

nice

[subtle seal]

filling -infinity into the abs(x) correct?

I'm trying to understand your question here

[coral wren]

the math book doesnt even say anything about the system of equation

[marble saffron]

later in the solution, you don't solve the limit for "-x" but for "x" but that ends up being -infinity anyways

[subtle seal]

For reasons of simplicity, we can remove the minus sign from the variable since it's a multiplication. But you can keep it there and still compute the limit.

[dusky rain]

what about simultaneous equations?

[coral wren]

can you give me an example? i have different names for stuff

[dusky rain]

its the same thing as system of equation

what chapters does your book have

[subtle seal]

What grade are you?

[coral wren]

8

[dusky rain]

huh

which country are you in

[coral wren]

is that bad?

lol

[dusky rain]

idk

its just odd

[coral wren]

what were you doing then?

[subtle seal]

we didn't study system of equations until grade 9 in my country

[coral wren]

where are you from

[subtle seal]

France

[dense lotus]

how did they get 4 from -2^2

[dusky rain]

what

[coral wren]

Publish the circumference of a special triangle if the sides are in the form (3a + 2), (4a - 1) (5-2a)

[dusky rain]

-2*-2 is 4

[dusky rain]

you know what a circumference is?

[coral wren]

i suppose

oh yes

i used google translate for it

but i do

[dusky rain]

alright

[glass lichen]

Perimeter, not circumference

[dusky rain]

yeah

[dense lotus]

-2^2

[subtle seal]

@coral wren use Pythagoras theorem

[dense lotus]

wait

whoops nvm

LMAO

[glass lichen]

Bruh what???

[dusky rain]

its just the sum of sides

[coral wren]

(3a + 2), (4a - 1) (5-2a) am i supposed to solve this?

so like

put x in the middle of them

[glass lichen]

No it wants the perimeter

[dusky rain]

yeah

[subtle seal]

My bad, didn't read the question

[dusky rain]

no

[dusky rain]

brackets just mean that those are the sides

so 3a+2 is one side

4a-1 is another

[coral wren]

yea

[dusky rain]

5-2a is another

[coral wren]

i get that

[dusky rain]

so a perimeter is the sum of all sides

[coral wren]

yea

[dusky rain]

sum as in

addition

[coral wren]

i get that

but then how do i get the answer

[dusky rain]

add 3a+2 and 4a-1 and 5-2a

[coral wren]

+?

[dusky rain]

what do you get from that

yes

so

[coral wren]

okay

ill do that

5a6?

5a+6

[dusky rain]

yeah

[coral wren]

did u do it?

[dusky rain]

how would you find a from 5a+6

[coral wren]

huh

[dusky rain]

yes

so

ok

[coral wren]

why would i need to find it

[dusky rain]

you cant give it in terms of a

[coral wren]

okay sure

[dusky rain]

because a is an unknown number

[coral wren]

yes

[dusky rain]

you need to find what a is

now when someone gives you something like 5a+6 and theres no equals sign

its an expression

and you assume that 5a+6=0

so you take the 6 to the other side

[fickle pewter]

I have a hard ques

[coral wren]

9+10?

[dusky rain]

and when you take a number to the other side

what happens to its sign

[fickle pewter]

No

[dusky rain]

it changes to the opposite

[alpine sable]

it becomes the opposite

[dusky rain]

yea

[alpine sable]

of what it originally was

[dusky rain]

so 5a=-6

[coral wren]

okay

[alpine sable]

I have a question about the contents of a prism

[dusky rain]

now divvide both sides by 5

and you get a

[fickle pewter]

-1 × -1 = ?

[alpine sable]

1

[fickle pewter]

K

[coral wren]

chats getting flooded

[alpine sable]

The height of the prism is 8cm and the side is 6cm

the ground pane is a square

And for some reason the area and contents of it is the same amount of cm

288 for both

[dusky rain]

the contents as in volume?

[alpine sable]

yes

[coral wren]

Express the sum of four consecutive integers if the second number is m. Find these numbers if their,
the amount is 50. Make a check,

[dusky rain]

so what exactly is your question?

[dusky rain]

is that the complete question?

[alpine sable]

Is my answer right, can the volume and area be the same?

[coral wren]

its a different equation

[dusky rain]

do you have an image of the prism