help-0

[alpine sable]

y=-3x+2

@restive tendon

[ancient agate]

I’m getting stuck at what the curl of the vector field is, could someone help me?

[rigid wind]

you don't know the 3d-curl formula or?

[ancient agate]

I’m still so new to stokes theorem, And I’m having difficultly with the formulas and understand the entirety of it

[wet cove]

did i do smth wrong

[buoyant edge]

Nope. Looks good.

[crystal mirage]

wait

[alpine sable]

okay try writing all the related angles

in terms of alpha beta etc.

you can substract them from 180

just write and try

[latent robin]

if a pair of linear equations has infinite solutions
is it consistent or inconsistent

??

[surreal meadow]

consistent

[alpine sable]

my work is just 2 steps

😔

[surreal meadow]

*(sec^2(x)...

you only multiplied the sec and not the cos as well

[alpine sable]

ooooh is see

tysm

[surreal meadow]

that's subjective. can you move this question to #discussion or #serious-discussion

[neat hound]

Okay, I am sorry sir.

[alpine sable]

did i improperly group again?

[surreal meadow]

a couple of things

the derivative of sqrtx is 1/(2sqrtx)

then, the derivative of sec(x) is sec(x)*tan(x)

and finally, once you get all of that, you need to chain rule once more for the derivative of pi*x^2

[brave remnant]

Hey I got a question

[alpine sable]

a European mile

[quaint mantle]

I think this belongs in #chill

That's my answer

[amber sage]

A 100-sided polygon possesses rotational symmetry of order k, where 1<k<100. Find the sum of all possible values of k.

are there 20 different possible values?

<@&286206848099549185>

[amber sage]

1000 meters

[alpine bloom]

anyone can help me

[amber sage]

which question

[alpine bloom]

13

[surreal meadow]

prove whether ABC is

to be or not to be

[amber sage]

you didn’t give the complete question

[amber sage]

could anyone help me with this?

[alpine bloom]

question 13

<@&286206848099549185>

[amber sage]

for (a)

AD=6

DB=15

using Pyth. theorem

[alpine bloom]

thx bro

[amber sage]

<@&286206848099549185>

[surreal meadow]

@amber sage post the question again, but only tag helpers the 1 time and after 15 minutes

[amber sage]

ok got it

A 100-sided polygon possesses rotational symmetry of order k, where 1<k<100. Find the sum of all possible values of k.

[amber sage]

could you help by any chance?

[surreal meadow]

haha no no clue sorry

[amber sage]

no problem

[alpine sable]

what does rotational symmetry mean ? and it's order ?

[amber sage]

you can look it up

[alpine sable]

bruh ok

[vale wigeon]

those are not the only divisors of 100.

you are missing a lot of them

[surreal meadow]

all the other divisors:

https://tenor.com/view/maes-b-lost-in-a-field-pulp-fiction-john-travolta-gif-14829328

[vale wigeon]

well, two. you're missing two.

where's 4? where's 20?

where's 69?

[stable merlin]

Am I just dumb or is this question just hard.

Find the total number of diagonals of the icosahedron. (However, a diagonal line of a three-dimensional figure is a line segment connecting two vertices of a three-dimensional figure that is not included in the face of the three-dimensional figure.)

wtf

[vale wigeon]

bruh

[stable merlin]

By the way this shape.

[vale wigeon]

three pings

this isn't a hard question by any means garodueng

if you know how to count the diagonals in a polygon you can do this one very easily too

[stable merlin]

I dont.

[vale wigeon]

ok you don't really need to

but you ought to be able to note that every vertex in an icosahedron is connected to exactly 5 others

[stable merlin]

Oh and I remember you, I just studied on distributive law

[stable merlin]

yeah I know that, but like.

[vale wigeon]

take some vertex in the icosahedron. how many vertices is it not connected to by an edge?

[stable merlin]

idk

[vale wigeon]

how many vertices are there in the icosahedron in total?

[stable merlin]

um

20

[vale wigeon]

no

[stable merlin]

wait 12

[vale wigeon]

there are 20 faces. but there are not 20 vertices.

yes there are 12 vertices

okay now take one of the vertices and color it red.

[stable merlin]

ok

[vale wigeon]

how many vertices are connected by an edge to the red vertex?

[stable merlin]

(fun fact I dont have the picture on the question I have on paper)

[vale wigeon]

you can and should look at the picture you sent

it shows the shape very clearly

[stable merlin]

is it 8

[vale wigeon]

no it's not 8

[stable merlin]

um

[vale wigeon]

how many vertices are connected by an edge to the red vertex?

[stable merlin]

i dont think i can count well

[vale wigeon]

bruh

then go back to first grade to learn how to count

[stable merlin]

ok

[vale wigeon]

here i've marked a vertex in red for you

[stable merlin]

oh

thats a vertex

5

[vale wigeon]

yes great

the red vertex is connected by edges to 5 other vertices.

now

how many vertices is it not connected to?

[stable merlin]

7?

[vale wigeon]

no. don't count the red vertex itself.

[stable merlin]

i think my grammar is wrong

vocabulary*

nevermind ill study a bit more on the language of english

lol

[vale wigeon]

what is your native language

[stable merlin]

korean.

[surreal meadow]

squid game

[stable merlin]

you dont need to

[vale wigeon]

...oh wait now i remember you too

[stable merlin]

yes

[wanton spoke]

is the square root of x^2-8x+16 (x+4)^2 or just (x+4)?

[quaint mantle]

How did you get either (x+4)^2 or (x+4)?

[wanton spoke]

bc, like, when you multiply (x+4) to itself = x^2-8x+16

im confused on whether you should put ^2 or not

[quaint mantle]

So how do you know that square root of 25 equals to 5?

[wanton spoke]

OHHHH so no ^2 then?

[quaint mantle]

Yes

All good?

[wanton spoke]

i thought when it comes to polynomials, you should put ^2. i realized i was thinking of factoring lmao.

[quaint mantle]

LMFAO

[wanton spoke]

yus yus ty

[quaint mantle]

Sure

Oh wait yes

[wanton spoke]

oh yeah mb

it should be (x-4) lmao mbmb

[quaint mantle]

Beware of sign

[warm smelt]

is there a formula to find out the total number of possible outcomes?

[surreal meadow]

do you consider tails,heads and heads,tails different outcomes?

[warm smelt]

yes

[surreal meadow]

then simply 2^# of flips

what's giving you trouble

[warm smelt]

@surreal meadow is there a formula for finding out the total number possibilities by simply looking at a tree?

is there some formula I can use based on the number of branches or something

[surreal meadow]

are the trees exactly like the one you showed above?

with 2 outcomes per event?

[warm smelt]

yeah each item has 2 children

(2 branches)

[surreal meadow]

then yeah, just 2^how many times whatever you're doing happens

in this case flipping a coin

which would give you 2^2

and 4 outcomes

[warm smelt]

what if each item had 3 branches

[surreal meadow]

3^n

[warm smelt]

would it be 3^whatever

of i see

thanks

[tranquil leaf]

hey guys, trying to make a very basic calculator that would allow me to find out what x * (1-9) equals 30,000

any clue on how to go about doing something like that?

[surreal meadow]

x * (1-9) = 30000
x = 30000/(1-9)

[tranquil leaf]

ideally just looking for a basic formula

I think im explaining incorrectly one sec

[alpine sable]

does anyone know the answer to this

[surreal meadow]

instead of (x-6) write 'a'

[alpine sable]

okay so 4(a) squared divided by 4(a)

[surreal meadow]

no

$\frac{4a^2}{a}$

[ocean seal]

maximo

[alpine sable]

ohh right

and then will the answer be 4 squared?

[surreal meadow]

how did you get 4 squared?

[alpine sable]

Right nvm 4a

[surreal meadow]

yeah substitute back the (x-6) though

and you might want to distribute the 4 but idk if they want that or not

[tranquil leaf]

maybe this better explains sorry

[surreal meadow]

if you have the value for A then do

B = 30000/A

[tranquil leaf]

wow im dumb

lmao

sorry brain is uber fried, idk why that was so complicated

thank you very much

[alpine sable]

I need to factorise these two need help pls

[quaint mantle]

Does 25 - y^2 equal to 0?

[alpine sable]

idk bro b is the hard one

c is okay i can do that

but b is hard

[quaint mantle]

How do you do c?

What does equation c equal to?

Can we assume they both equal to 0?

[fallow valley]

a^2-b^2=(a-b)(a+b)

[nimble moss]

difference between 2 squares

[alpine sable]

uh so for c you have two find two factors that when added or subtracted it gives you the number with the variable.

In this case the two factors that give negative 28 are -4 and 7. -4 + 7 gives 3 so the answer will be X squared -4x + 7x -28

[quaint mantle]

Oh factorize

Mb

For b, as firefawkes said

Yes

[nimble moss]

since it's 25 you got to square root it so 5 , so your b is 5

[quaint mantle]

Sure

Well done

[alpine sable]

this is what youre supposed to do

[quaint mantle]

Yes

Nice job

Also it's x^2 instead of x_2

[alpine sable]

yeah okay

[harsh swallow]

@ember blade what does f(x) allow as inputs?

when you know that

to find the right answer for h(x)

you have to modify the limits using g(x)

[acoustic shale]

I got a question in math

A * (A + A') + 1 * (A' * A' ) + 0

what does this mean

[glass lichen]

no clue, not enough context

[quartz terrace]

This is a maths question inside of a business question

Not sure where to start

[harsh swallow]

what's the growth of the value of the market

the expected growth

[sullen dock]

https://i.imgur.com/4LP0qz4.png

[zealous basalt]

what does the 4 after ln stand for?

[sullen dock]

which equals to:

[quartz terrace]

What

[sullen dock]

so -b = -33

[sullen dock]

so b is 33

[wet cove]

thanks

[sullen dock]

nvm

[wet cove]

there is a option for 33

[sullen dock]

yeah saw it late

[wet cove]

also, you're muslim 😄

love ya

[sullen dock]

ye i am arab

[wet cove]

me 2

[harsh swallow]

@quartz terrace The expected growth in the value is given

[sullen dock]

ty u too :)

[zealous basalt]

can anyone help?

[harsh swallow]

in percentage

[glass lichen]

???

[wet cove]

I'm from the UAE

[sullen dock]

what ?

[glass lichen]

what you said was false

A(A+A') wouldnt be A^2+(A')^2

[sullen dock]

AA' sorry

should have replaced variable A' by b or smth so i dont get confused

[wet cove]

@sullen dock im rlly struggling with the last step

idk what to do

[scarlet shell]

Can someone help me what i should do on ex.16

[sullen dock]

can u try to write that equation in google search

[wet cove]

no u cant do that i believe'

[sullen dock]

its -2 if i could read ur writing correctly

[wet cove]

it is

but can u exoplain

how to find it

[sullen dock]

12y-14y=4

-2y = 4 -> y = 4/-2 = -2

[wet cove]

okay

[sullen dock]

get your variables in the other side

[stable merlin]

I was working on my math worksheet thing

i bought from my local bookstore

the congruence part just killed me

can someone help me

[frank mist]

can anyone help with this

[alpine sable]

so can you find the best jump ?

[frank mist]

it is 4.76

got no clue what to do after

it needs it in 2 dp but i keep getting 4

i dont actually know how much dp it is

[wary zodiac]

How do I integrate 3/2x^3

[alpine sable]

if the length of winning jump is x
What should be the length of her best jump

[alpine sable]

12/100* 4.25+4.25 this may give you her best.
Let it be x.

[alpine sable]

integral of x^ndx is x^(n+1)/n+1

[alpine sable]

Now , let the ans be y:
Then , y-15/100*y = x
Put in the value of x that you calculated and solve the equation

[frank mist]

i have no clue

what you just said

[wary zodiac]

@alpine sable is that something u just have to remember

[alpine sable]

.

[alpine sable]

https://youtu.be/rfG8ce4nNh0

[frank mist]

I got it

ty

[alpine sable]

great

[frank mist]

so it would be x=n−|n|∗%100%=4.046

so 4.046 would we the answer

oh wait never mind

[tame sorrel]

The point P is reflection of (-2,10) on the line 4x-3y=12. Find the coordinates of P.

i don't understand

[tacit kernel]

An object is moving at a constant speed of 50 m/s for 20s. The object then starts to decelerate and comes to rest in 25 seconds. Calculate the acceleration of the object.

🤔

What would it be

[nimble moss]

first find the line of the equation, y = mx + c
then put (-2,10)
and reflect the point over that line

[alpine sable]

guys

so i did this question 3x + 6 = -12

i put - 12 to the left making it a plus

12 + 6 = 3x

18 = 3x

x = -6

how is it a minus 6?

[nimble moss]

because to get the rid of the +6 you have to do -12 -6
which becomes 3x = -18
then you divide by 3 to get -18/3 which equals - 6

[alpine sable]

3x will be negative

[tame sorrel]

the line of what equation?

may i dm?

[nimble moss]

uh sure

[alpine sable]

ah ty

[alpine sable]

a=(v-u)/t

[tacit kernel]

So -2 right?

[alpine sable]

yep

[tacit kernel]

😌

[wet wyvern]

Anyone familiar with Homogenous Differential Equations? So I tried solving this one, I am not sure if I did it right. Did I?

Topic: Homogenous DE

[feral crypt]

When finding the area between two curves does finding the integral of f(x)-g(x) work in all situations?

or only specific ones like in the first quadrant?

[amber iron]

all situations

[feral crypt]

thanks! 😄

[amber iron]

anyone help, idk why im getting the wrong answer

im taking partials of z+x^2+y^2=6 and x+5y+8z=0

matching the partial x,y,z components

but im getting incorrect answer

<@&286206848099549185>

[elfin talon]

It’s not

It’s 6

[haughty jay]

i need some help in this
Which expression has a whole-number product ?

A:(4 - 2i)(4 - 2i)

B:(3 + 2i)(3 - 2i)
i think it is a but cant tell

[glass lichen]

why is it a?

[haughty jay]

A= 12 ........

[glass lichen]

it does not

[haughty jay]

oh

[glass lichen]

how did you get 12?

from (4-2i)^2

[haughty jay]

idk

[glass lichen]

So why did you say 12??

Did you pick a random number out of thin air and hoped it would stick?

[haughty jay]

becuse i thought it is

[glass lichen]

But you just said you didn't know how you got 12

[haughty jay]

4x4
4x2i
16+4i^2

[glass lichen]

right, but that's not how you expand (4-2i)^2

you foil binomials

[haughty jay]

ok

i just forgot a step wow

[amber iron]

help

Another calc problem

but I'm not allowed to use maxime vachier lagrange multipliers

[haughty jay]

is it 4i??

[glass lichen]

no

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

[ocean seal]

Mosh

[amber iron]

<@&286206848099549185>

[haughty jay]

16i

[glass lichen]

no..

what's 16-4?

[haughty jay]

12

[glass lichen]

yes, so $(4-2i)^2=12-16i$

[ocean seal]

Mosh

[haughty jay]

ok so know is it A B

[haughty jay]

ok know a or b ?

[haughty jay]

hey so b = 13 so it is b

[glass lichen]

yes.

[haughty jay]

thx

[ocean seal]

132

[alpine sable]

Help.

What do you mean by ode?

[haughty plaza]

ordinary differential equation

[marsh shuttle]

My asssssssss is jigggly

Jk

I need help

[alpine sable]

Define that.

[paper oak]

:[

[alpine sable]

What is the IITD in your username?

[paper oak]

its meaning?

[alpine sable]

Yes.

Or full form.

[paper oak]

its my dream college :]

[alpine sable]

I see.
Do you know what a constant function is?

[paper oak]

yes

[alpine sable]

What is it?

An example?

[paper oak]

f(x) = 10

[alpine sable]

Good. You have solved f there.

Now, tell me what is identity function.

Any idea?

[paper oak]

nope

[alpine sable]

f(x) = x.

[paper oak]

oh

[alpine sable]

It was given in NCERT.

[paper oak]

i didnt read it

[alpine sable]

You should read the chapter lol.

[paper oak]

i was watching random lectures on yt

[alpine sable]

<@&286206848099549185>. Assuming it is allowed to ping helpers.

[alpine sable]

you should ping helpers 15 minutes after the question, and unfortunately I don't know how to help you out on this one

[bitter nebula]

"The solution of inequation is"

[paper oak]

so ans is 0 @alpine sable

[alpine sable]

Yeah.

[plucky crow]

is this MAT?

[bitter nebula]

It is about functions also?

[alpine sable]

(2/3)^0 < log_2(x²-10)
2^1 > x²-10
x < sqrt(12)
x < 2sqrt(3)

I think.

[bitter nebula]

thanks

[alpine sable]

IDK. Someone else just forwarded.

I don't even know what MAT is.

[paper oak]

@alpine sable can you solve this one

[alpine sable]

What does option c mean?

[paper oak]

lol idk

[alpine sable]

What I think is that option D just looks incorrect so eliminate that.
IDK what option C is so let's ignore that as well.
Calculate whether the function is decreasing or increasing in those intervals yourself.

[paper oak]

ok

[hollow siren]

hi

can u help

[woeful mango]

can someone pls help with this?

[alpine sable]

With?

hi i need help so i didnt understand what did they mean by estimate

and whats the grid method i had covid so i skiped the math class and i have this assignment thats due today so i need help pls

[stray hearth]

Am guessing by estimate, they mean you should round each number and multiply them

[nimble moss]

estimate means round to 1 significant figure

[alpine sable]

round it by what tho

[stray hearth]

To the nearest 10s

[alpine sable]

so 90 x 20

[nimble moss]

ye

[stray hearth]

Yee

Yer basically a pro :)

[alpine sable]

and what about the grid method

[alpine sable]

they call me inestien

Everyone is scared to solve my problem smh on Z-axis.

[stray hearth]

Being honest, not seen the grid method with a grid like this. I've never really used it. I normally use other methods for multiplying.
If you search on YouTube "grid method" there is like a 2 min video of someone explaining

[alpine sable]

k thx

so i think think this is right

[buoyant kayak]

86x24 is not 344 lol

[alpine sable]

How do I simplify this?

[alpine sable]

-1+1-1+1-1+1-1+1-1+...

Even or odd?

Enough hint ig.

I get that but I think I'm supposed to write it by induction

Like make a formula

[small bear]

Where are you stuck with the induction? Did you write base case and inductive hypothesis

[alpine sable]

Don't think I said that differently.

Yeah I have no idea how to do induction, never learned it and Youtube isn't helping

Prove for n = 0

Prove for n = k+1

Solved

for all integers more than -1

Ok and what do I do with integers less then - 1?

Or do I just ignore them?

[alpine sable]

It still follows the same pattern as -1^1, (-1)^2 and so on.
-1^-1 = -1
(-1)^-2 = 1

[rigid wind]

solving this sum by induction?

[alpine sable]

No but that's fine Imma need more time

[pure hound]

Whats the first step

[glass lichen]

,rotate

[craggy fossil]

please guys help me its very urgent

1+1

[pure hound]

-__-

[craggy fossil]

please

my calculator isnt working

[glass lichen]

use your fingers then.

or get another calculator if you're struggling that much

[golden falcon]

10

[fair zephyr]

In a Beer shop, 9 beer taps are working 8 hours a day can empty a whole barrel of Beer in 20 days. How many such taps needed to empty the same barrel working 6 hours a day in 16 days.

i am not looking forward to the ans, i just want to wrtite a code on this so i am posting it real quick. can someone help?

[raw shard]

first you should find out the total hours required for the first part

so it’s 9*8*20

[alpine sable]

Ofcourse not. 🤣

[raw shard]

aka 1440

so divide 1440 by 16*6

and that should be the answer

[alpine sable]

Someone else also just said 19.

mAyBe.

IDK answer lol.

Sounds correct TBH.

But reasoning?

[craggy fossil]

i've got it right thanks!

[raw shard]

@fair zephyr i answered your question if you didn’t see

[alpine sable]

Yeah, and seems correct. Thanks!

[ripe gust]

2

i have a d in english

whOoOoo

[fair zephyr]

i didnt think someone would actually ans me! thanks a lot!

[craggy fossil]

no its 10

[raw shard]

no problem @fair zephyr

[alpine sable]

🐛

[torpid coral]

i'm french

i have find 77 000 cm3 for the first question

[fair zephyr]

Verma is a talented young man who invested in real estate business. His initial investment on a land is INR 10000. The value of land increases every year by 25% if its initial value 10000. What will be estimated land value after given N years.

[torpid coral]

but for 2 I don't understand what to do

[alpine sable]

please sir or mam this channel is in use

[fair zephyr]

some more ques plz ans me really quick so i can write the code real quick

[formal fossil]

hi guys

how to solve this equation with derivators definition

[alpine sable]

guys please...

[raw shard]

@fair zephyr have you tried to figure it out yourself at all?

oh

oops channel is in use

[fair zephyr]

Yep

I already got it

[fair zephyr]

I just have to make these codes real quick so can someone plz help me with real quick plz?

[alpine sable]

svensk?

im here again

[formal fossil]

yes

[formal fossil]

part c

45

[alpine sable]

idk what to do with f`(u)

[alpine nacelle]

,ask derivative of (f(x^3-2x)+6x)^2

[ocean seal]

Results provided by WolframAlpha

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

Requested by Mélo#9191

[alpine nacelle]

@alpine sable

[torpid coral]

Sand is transported with this wheelbarrow. Knowing that the density of sand is 1500kg/m3, calculate the mass in kg of the contents of a wheelbarrow filled with sand. Reminder: a density of 1500 kg/m3 means that 1 m3 weighs 1500 kg. (I am French so sorry if there are translation errors, also there is a first question in my exercise where I found 77,000 cm3 for the volume of the wheelbarrow)

[formal fossil]

yes

[alpine nacelle]

check that your derivative is that, then plug to get f'(4)

[alpine sable]

alrighty ,ty

[formal fossil]

actually i'm from Syrien, but i\m living in Sweden

[alpine sable]

so its safe for me to replace u at the start?

[formal fossil]

.

[alpine sable]

kan hjälpa privat

[formal fossil]

yes

[alpine sable]

i got 9/400

[alpine nacelle]

@alpine sable I got -9/16

[alpine sable]

[alpine nacelle]

I wrote the derivative with the bot earlier, when you replace x by 2 and f(4) by 8, you get 4(8 + 12) (5 f'(4) + 3)

= 15

'Cause the exercise said dy/dx = 15 when x = 2

[alpine sable]

where did the 5 come from?

[alpine nacelle]

3x²-2

and then

it got factored by 2

(the 3 is the last 6)

you get 2(8 + 12) (10f'(4) + 6)

if you prefer writing it like that

[alpine sable]

thats what i got aswell

[alpine nacelle]

solving 2(8 + 12) (10f'(4) + 6) = 15

you get f'(4) = -9/16

[onyx sluice]

Can someone help me

[silver dew]

@onyx sluice start by simplifying the numerator and denominator

then use this property $\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} \times \frac{d}{c}$

[ocean seal]

gramschmidtty

[short linden]

Yeah I don't get it haha

Oh okay thank you ❤️✨

[wide steppe]

I need some help with this question here please

[patent hinge]

look at the graph

look at x and then the y

[dusk solstice]

Quick question

[patent hinge]

look at x = 1 and see what the y value for that is

[patent hinge]

1kg is 1000 grams

[dusk solstice]

Yes

[patent hinge]

divide by 400 on both sides

to get 1g : ???

what is 1000/400

[dusk solstice]

2.2

[patent hinge]

no its 2.5

[dusk solstice]

Yh

[patent hinge]

the answer is 2.5

[dusk solstice]

Ok

[wide steppe]

Is it 50 milli Amps?

[alpine sable]

help me with basic math :(

feel free to dm

[patent hinge]

i fucked up

i thought it said voltage not current

[opal topaz]

hey everyone

i need some help with my math hw

[patent hinge]

bro theres 2 people in here already

go to a different channel

[dusk solstice]

Lol

Help me

[wide steppe]

Yeah this is a capacitor so we are dealing with Ferrahads

[patent hinge]

its an exponential function solve for the function

[wide steppe]

I thought I understood graphs all my life, turns out I was wrong

[patent hinge]

what

[high glacier]

Do yall know this

[wide steppe]

Whats the formula I use?

[patent hinge]

go to a different channel bruh

[patent hinge]

what is current

[wide steppe]

Current is what leads the voltage

[patent hinge]

so like its the slope of the line at that point?

[wide steppe]

Yeah, that’s time, and thats the voltage or amplitude at that time

and the capacitor is charging

[patent hinge]

whats the formula for current

[wide steppe]

I [current] = Voltage divided by resistance

[simple dragon]

can anyone help me on channel 3 pls i would appreciate

[wide steppe]

Yeah okay so it seems like it should be 50 Milli Amps

[simple dragon]

i have like 2 hrs to figure how domain and codomain works

[crude rose]

what the general rule for d/dx(logbasea(x))
?

[crude rose]

x = -6 and x = -5

[dusk solstice]

Ok ty

[crude rose]

<@&286206848099549185>

[acoustic shale]

I dont understand this question

[flint badger]

Bruh

[acoustic shale]

the blue are the answers but I dont even understand the question or the answer

[dusk solstice]

How do u work it out

[acoustic shale]

can someone help me

[crude rose]

(x+6)(x+5)

[acoustic shale]

yo can u check the picture i sent ?

[flint badger]

ok

@dusk solstice you have to find two numbers that multiply to 30 but add to 11

they are 5 and 6

[dusk solstice]

Ohh

[flint badger]

so when you factor it will be this

[dusk solstice]

Ok

So it’s -6

And -5

[flint badger]

and then to solve you set both of these terms to 0

x + 6 = 0 and x + 5 = 0

[acoustic shale]

I dont understand the question and its answer

can someone help me understand it

[flint badger]

$\frac{d}{dx}\left(\log _a\left(x\right)\right)=\frac{1}{x\ln \left(a\right)}$ @crude rose

[ocean seal]

eggdog

[flint badger]

this is what you mean right

[acoustic shale]

what is this

[crude rose]

ty

[crude rose]

yea

[high glacier]

What's this plz

[dusk solstice]

What’s this

Tell me how to do it

[acoustic shale]

can u help me first with mine first ?

i dont understand it

[high glacier]

What this plz

[dusk solstice]

Scale factor is 2

How do I work out centre

And the first one

It is a/an?

[nimble moss]

it is an enlargement,
to find out centre start drawing a line through 1 point of the larger shape to the same point of the other shape, and do this for the other points and find the point where they intersect, that's your centre

[dusk solstice]

Can u tell me the answer

So I can try and figure it out

[nimble moss]

it should meet at (0,0)

[dusk solstice]

Ok

[alpine sable]

dividing some number with 0 should be 0 beacuse you actually dont divide so its 0

[flint badger]

@acoustic shale hi

you still there?

this is about RegEx right

[sullen dock]

do you mean

[alpine sable]

Can someone solve this by using the Laws of Boolean Algebra?
((a+d')(b'+c))'

with steps

[alpine sable]

yes

the answer is 0 not Infinity

[flint badger]

here's a diagram to help for that

[sullen dock]

lmao what

prove it

its not infinity tho thats just a theory

[flint badger]

the test needs to have 1 digit [0-9], the plus sign indicates that there needs to be one or more occurrences of the preceding element (which is a "."), 0 or more digits [0-9]

[safe island]

dividing by 0 is undefined lol

[grizzled pagoda]

Can someone help with this problem?

[minor crypt]

lets say hypothetically i scored a 9/20, what percentage of the class am I in?

[safe island]

😆

[alpine sable]

45

[flint badger]

so in this case the first answer's answers that are separated by spaces all satisfy the regex

so I think thats the answer but idrk a lot about this

,rotate

[grizzled pagoda]

What would we do

@flint badger do you know what we would do

[minor crypt]

top 11% if my calculations are correct

I used excel:

[ripe pulsar]

Hey guys does anyone know what the derivative of y=x^4/5 is?

would it be dy/dx = 5√x^4 ?

[surreal meadow]

$y = x^n \implies y' = n\cdot x^{n-1}, n\neq 0$

what's your n in this case?

[ripe pulsar]

4/5

[surreal meadow]

so what's n-1?

[ocean seal]

maximo

[ripe pulsar]

hmm ok i see so dy/dx = 1?

[surreal meadow]

hm?

you know n = 4/5

so n - 1 = -1/5

so plug in n = 4/5 and n-1 = -1/5 to the equation above

$y' = \frac{4}{5}x^{-\frac{1}{5}}$

[ocean seal]

maximo

[ripe pulsar]

ahhh yes of course

i get it now

thanks a lot

because u must times x by 4/5 and then remove 1 (-1) from the power

[tender stream]

Can any one help?

[wary stream]

Do you know the concept of similar shapes?

[tender stream]

just started doing them

so no

[wary stream]

You have to create proportions

[cerulean quiver]

h

[tropic dagger]

how can i convert y = ax^2+bx+c to vertex form symbolically? (no actualy values, just symbols)? I'd appreciate if anyone could help map out the steps for me. thanks!

[tight locust]

ok. in order to do this i want you to complete this exercise for me (i promise this is relevant)

expand (a+b)^2

no

set the pieces equal at the critical points

[flint badger]

sorry I had to leave

can someone else help King Satan with his problem

I need to go

[tulip shadow]

guys i have a serie to do can someone help me

[winter rock]

Hello everyone, I literally have an exam in 5days over a course I've never had before (I was really really sick) could anyone explain it to me?(someone send me the full courses) I understood some basis things but I need to undertake everything

It's 11th grade maths btw

[sullen dock]

people should stop asking to ask

[winter rock]

Ur talking bout me?

@sullen dock

[sullen dock]

both you and tripp

[winter rock]

But there's way too much that I have to ask

[sullen dock]

yeah ask

[winter rock]

I prefer if I go w someone in private

[tulip shadow]

3awna lah i7ane 3lk bro

[sullen dock]

i will, if you descride your problem

[winter rock]

@sullen dock wich language do u master?

[sullen dock]

darija / arabic

[tulip shadow]

bro rah wahd l prof dyal l math she's make my brain go down

[winter rock]

Here, the first point

I don't understand what it means

[sullen dock]

yeeee just say how can i help

[winter rock]

I mean js python c++... @sullen dock 😭

[sullen dock]

lmfao

[winter rock]

Wich one do u masyer

[sullen dock]

java

[winter rock]

Yh hhhh

[tulip shadow]

bghite tkhraj dyal chi expression ila 9dro drari

[sullen dock]

but i don't "master it"

[winter rock]

O okayyyy if u have any ebook to send me I would love to learn through em

Yh fine

[sullen dock]

wa 8ir 9ol chno 5assek

[winter rock]

Just look I don't understand a word of this shit

[tulip shadow]

B 1 o 2

[winter rock]

This is the theory

[sullen dock]

hado sahlin

[winter rock]

It says when pi (the plan) is // OXY z is equal to c

Right?

[tulip shadow]

no bghite ghir solution bach nt2akd

just

[sullen dock]

wa5a ana 3an 3ml joj

1 o 2

[winter rock]

Bro

[blazing rose]

wtf

what language is this

[sullen dock]

darija

[winter rock]

Darija but typen in those letter

Typen in phonetic

[blazing rose]

it looks

interesting

[sullen dock]

1. 3x+14

ana n3ml "k" bllati

[winter rock]

@blazing rose could u help me brother?

[blazing rose]

whats the question

[sullen dock]

@tulip shadow hahia k: -56 - 65 racing(15)

[winter rock]

@blazing rose can we move in private?

[blazing rose]

sure

[winter rock]

Thxx

[blazing rose]

idk if i will be able to help u tho

[rocky dagger]

can someone explain an easy way to solve this problem?

i tried using A = (sqrt(3)/4) * s^2 but that is too complex

[tulip shadow]

@sullen dock bro ba9a liya f

[torpid star]

can someone explain or redirect me to a good resource to learn how to differentiate (x+1)^n ?

[flint badger]

He's not here anymore

@grizzled pagoda nvm

I can solve ur thing now

I just got back

[undone isle]

hi...

[flint badger]

Let J represent Jack's votes, B represent Bernie's votes, and T represent the total amount of votes:

We know that:
J = 0.625T (Jack has 62.5% or 0.625% of the total votes)
T = J + B (Total is equal to Jack + Bernie's votes)
J - 30 = 1/3(B+30) (If we subtract 30 from Jack's votes, and transfer them to Bernie's votes, Jack's new amount of votes will be 1/3 of Bernie's votes)

With these equations, we can set up a system of equations

$\begin{bmatrix}J=0.625T\ T=J+B\ J-30=\frac{1}{3}\left(B+30\right)\end{bmatrix}$

[ocean seal]

eggdog

[wintry prawn]

@rocky dagger Could you post your attempt as to how you approached it with that equation, it should be relatively simple compared to using other methods.

[flint badger]

We can substitute J + B for T in the first equation like so:
$\begin{bmatrix}J=0.625\left(J+B\right)\ J-30=\frac{1}{3}\left(B+30\right)\end{bmatrix}$

$\begin{bmatrix}J=0.625\left(J+B\right)\ J-30=\frac{1}{3}\left(B+30\right)\end{bmatrix}$

[ocean seal]

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

[wintry prawn]

LOL

[flint badger]

LMFAO

[alpine sable]

Einstein and Pisagor arguring which one is better
Me can divide a number with 0:

[flint badger]

@grizzled pagoda You can try to solve the rest of the system of equations above

By yourself

[wintry prawn]

you can spell special but not do great troll

[alpine sable]

first one is 4
second one is 1
third one is 4
fourth one is 2
fifth one is 5
sixth one is 0
seventh one is 3
eight one is 5
nineth one is 0
tenth one is 1

no need thanks little boy

[sly mantle]

troll b&

[wintry prawn]

Banned LOL

[sly mantle]

@flint badger for future reference ping mods earlier

[flint badger]

alright

[sly mantle]

don't let chat fester

[flint badger]

i didnt know it was a direct violation but

i doubt that'll happen again

[sly mantle]

it's not a violation, just common courtesy to help keep chat clean

[wintry prawn]

"area is A=√3/8 *a²" that 8 should be a 4

[flint badger]

its funny because

someone actually tried to help him

[mortal cedar]

Can anyone help with college algebra

[wintry prawn]

Post the question

[mortal cedar]

I have the answer if that helps I just don’t know how they got it really

[wintry prawn]

So the basic concept here is that there are two rectangles one inscribed another

Rectangle A is pool + sidewalk
Rectangle B is pool

B lives within A so

we know A's length and width by the information given in the first line and the total area is explicit.

Since the sidewalk is the distance between the borders of A and B and the sidewalk is of the same length as A

You can subtract the area of the sidewalks from the total and you have your answer.

I'll let you attempt the equations

[mortal cedar]

But like how do you get 4w+12 and w+12

[flint badger]

Isnt that just from 6 * 2

[wintry prawn]

sidewalks are on either side of the pool

[flint badger]

The width of the sidewalk * 2

[wintry prawn]

so add a sidewalk of width 6 on each side of the pool

w+6+6

and 4w+6+6

[flint badger]

Yeah it wouldnt be 4w+6 because whatever you apply to one side of the pool needs to be applied to the other side in order for the pool to be proportional to its original dimensions

[wintry prawn]

Also technically the approach they have is wrong as well because by adding 6*2 on both sides of the rectangle you are doubling counting the areas of the edges formed by the sidewalk

[alpine sable]

how would i approach a?

[flint badger]

Oh yea

[alpine sable]

i've got some progress but

unsure

[rocky dagger]

this is the proposed solution but i dont really understand it

this is how I did it but it's too long

this is the long way, I dont understand the shorter way

[wintry prawn]

what they are saying is since you are figuring out of the lengths of the sides of those equilaterals from the area equation and the area of the bigger equilateral triangle inscribing the hexagon is of the same equation you can just the areas to get the one side because the constants cancel out

In other words,

A(big triangle) = sqrt(3)/4 * a^2
a(one side of the big triangle) = \Sigma (4/(sqrt(3) c) where is c is the sides of the small equilateral triangles

Substitute and you will notice everything cancel but the a's.

[rocky dagger]

I still don't understand how they got the ratios of side to area

[wintry prawn]

Correct me if I am wrong.

That would be better understood in latex but I don't know latex syntax that well lol

[wintry prawn]

Does that explanation clear it up?

[rocky dagger]

I don't understand what the sigma is doing

could you explain that

[wintry prawn]

sigma is the summation of the length of the sides of the smaller equilateral triangles

in other words,
a(one side of the big triangle) = a(smaller triangle 1) + a(smaller triangle 2) + a(smaller triangle 3)

[rocky dagger]

oh ok

got it

thanks

[alpine sable]

i can't do that if it's to the N

[outer hearth]

Can someone please explain how to graph this?

[alpine sable]

the equation

is

(1 + k/x)^n

[carmine ermine]

Hey everyone! I am a bit confused about a geometry plane, if a plane is a figure which extends infinitely but I'm able to see geometry planes on a piece of paper and geometry planes in general which don't have their widths and lengths extend infinitely, then how are they planes?

This is technically a plane

I don't see it extending infinitely

[hollow cypress]

that is a shape, not a plane

[carmine ermine]

They consider it as a plane

[carmine ermine]

could ya show a correct image of a plane please

@hollow cypress is this a plane? (Not my image btw)

One of my siblings asked for me help and they kinda hit me with that critical question

[hollow cypress]

these diagrams are somehow incredibly incomprehensible

[hollow cypress]

capturing an image of something infinitely large is difficult

[carmine ermine]

Exactly, but those that don't extend infinitely, are considered as planes

Yet we can clearly see that they don't extend at an infinite rate that much

Or wait, could we just have to imagine that a certain plane extends infinitely?

[hollow cypress]

planes extend infinitely

[carmine ermine]

Precisely

[hollow cypress]

"planes which do not extend infinitely" therefore is a paradox

flat infinitely extending surfaces which do not extend infinitely

[carmine ermine]

Lol that does appear to be confusing

[flint badger]

What about the lines that extend infinitely in every direction

I mean two directions

[carmine ermine]

Only one of those lines would not be considered as a plane

But if a plane extends infinitely, each of its visible sides, why aren't they expressed as lines?

[hollow cypress]

you can use a subset of that plane (like the shapes) but always annotate that "the shape continues until infinity"

[flint badger]

What I was trying to say was that the lines extending in two directions implies that we are on a plane

Or am I missing something

Well lines only move in a certain two directions so nvm

[hollow cypress]

i mean, yes. unless we have 3d space, in which case we are in a space

[carmine ermine]

Ah, so we can draw a plane on a piece of paper, but only have to keep in mind that, that plane is actually meant to extend infinitely?

[flint badger]

yea

ive never really thought about that before lmao

[carmine ermine]

Ahhhhh, so it's more like a deception in a way?

[flint badger]

i wouldnt call it deception

[hollow cypress]

one may extend the edges of that shape as far as the diagram allows

models are all false.
some models have utility.

[carmine ermine]

but when they reach their maximum limit, we can just imagine and predict that, that plane extends infinitely regardless, correct?

[flint badger]

its just hard to represent something that extends infinitely in every direction, so declaring and clarifying that the diagram is a plane is reassuring

or thats how I see it

[hollow cypress]

"imagine and predict" is not rigorous

[carmine ermine]

but.... that diagram won't ever extend to infinity by human visual terms

[flint badger]

Of course it wont

[carmine ermine]

Hm, so in our visions, it is meant to be represented as a finite figure, but in actual mathematical geometry terms, it is meant to extend infinitely

[flint badger]

I guess you have to think of it in a purely mathematical sense, yes

[carmine ermine]

Gotcha, anybody up for one more discussion or no?

I am curious of one last thing, sorry

[flint badger]

Yea sure but cpli is writin a book over here

[hollow cypress]

calculating internal resistance of batteries and drawing a diagram of the respective circuit next to the calculation will not make the diagram electrically charged

models "are" not what they represent

[flint badger]

oh I like the way you put it

[carmine ermine]

Lol

[flint badger]

makes more sense now

[carmine ermine]

You are indeed accurate, but for some models, right?

[hollow cypress]

@carmine ermine you're doing calc1, you ought to be familiar with representing objects which tend towards infinity

[hollow cypress]

all models are false

[carmine ermine]

I am but I don't usually think critically of certain concepts

[hollow cypress]

that's more of a physics thing to say though

[carmine ermine]

And now I'm rly wondering abt this

[hollow cypress]

all models are wrong, some models are useful

[carmine ermine]

I've been taught to be sheep I suppose for geometry

[flint badger]

lol

what was the other thing you wanted to talk about

[carmine ermine]

Actually due from cpli's example, that other question is solved luckily

Heh, thanks you two!!

[flint badger]

yea

recognizing that it is simply a model is important

and that models are false

[wind quest]

hi

does anyone know what the notation for U,V and W means?

btw X, Y and Z are functions in terms of theta and phi

are U,V and W vectors?

or are they just fucntions?

[grizzled gyro]

U, V, and W are functions

[slow pecan]

How do I do 4a and b?

[buoyant kayak]

common denominators

[slow pecan]

What do you mean by that

[wind quest]

oh ok thank you

[wind quest]

u find the lcm of the denominators and then multiply and divide by the value which would result with that as the denominator. For example, 1/3+1/4, the lcm of 3 and 4 is 12 so u divide and multiply 1/3 by 4 and the latter part by 3 -> 4/12+3/12 = 7/12

[fresh relic]

What is the symbol in the denominator?

[magic geyser]

omega

or angular frequency

whatever the name is in English

[slow pecan]

So would i just do
4/d + 5/e

then 4e/de + 5d/de?

[waxen schooner]

Does the number on the left of sigma just mean multiply the result by this?

[wind quest]

yeah and since the denominators are the same u can jsut write it as (4e+5d)/de

[slow pecan]

Woah okay. Thanks a lot

[wind quest]

yeah u can just remember it being like A(x0+x1+x2.....xn) as its ultimately a number multiplied by a sum

[waxen schooner]

Ooh thank you 😄

[sick torrent]

What does this mean

[alpine nacelle]

d/dx (something) is the derivative of the something with respect to x

[magic geyser]

derivative

[sick torrent]

Pardon?

[magic geyser]

did u learn derivatives

[alpine nacelle]

just remember it's the derivative

[sick torrent]

Oh

So you say f’(x) means d/XD

[magic geyser]

yes

[glass lichen]

d/dx is the operator that takes f and gives f'

[magic geyser]

derivative has many different notations

[sick torrent]

Huh

[glass lichen]

f'(x) != d/dx

[sick torrent]

Oh

What does ! Means

[glass lichen]

$\dv{x}f(x)=f'(x)$

[ocean seal]

Mosh

[glass lichen]

not equal is != in text..

[sick torrent]

Ohhh

[magic geyser]

f^1

imagine using Roman numerals for higher order derivatives 🥵

[glass lichen]

what?

where are you getting roman numerals from

[flint badger]

lmao what

[magic geyser]

f^IV(x^4)

[glass lichen]

that isnt a thing

[magic geyser]

sadly

[glass lichen]

or it's obscure notation at best

[sick torrent]

Huh

[glass lichen]

$f^{(4)}(x)$ is the 4th derivative

[ocean seal]

Mosh

[magic geyser]

better 4 than '''' 😂

[glass lichen]

well yeah... that's why we use the notation

[flint badger]

generally I think people stop after f'''(x)

[sick torrent]

Why is cos(h) there on the second step?

[magic geyser]

angle addition identity

[sick torrent]

Huh

What’s that

[sick torrent]

Ohhh

Thx

[sick torrent]

Would I use the first or third one?

[magic geyser]

look

what do u think

[sick torrent]

The first one but why?

[magic geyser]

because the angles are added

not subtracted

[sick torrent]

What angles

[magic geyser]

x and h in your case

[sick torrent]

Ohh

[magic geyser]

alpha and beta in the picture I've sent

[sick torrent]

I see that u

Thank u*

[celest anvil]

how do?

[placid zinc]

It's a system of equations

The blanks are unknowns and they create two equations

[hushed pasture]

$\forall(a,b,c) \in \bR^3: a\vec{v_1} + b\vec{v_2} + c\vec{v_3} = (0,0)$

[fresh relic]

wow you guys really skipped me

[ocean seal]

Salah

[hushed pasture]

if you find that a = b = c = 0 then they are independent otherwise they are not

[hushed pasture]

I'm not fimilier with those type of questions