math-help

[icy quiver]

For the second one, you simply have 5 x 4 x 3 x 10 x 9 I'd say

[sullen locust]

if order didnt matter you would divide by 4!

[frail geode]

then you would divide by 4! as you did

[white pawn]

(x+2)(x-3)= 0
x^2 - 3x + 2x - 6 = 0 (?)
i am not good at math yet

[frail geode]

x=-2 and x=3

cause either x+2 = 0 or x-3=0

because you multiply them

[gray cipher]

wait how did you get those numbers

[left knoll]

(x+2)(x-3)>0

[sullen locust]

choose 3 video games and then choose from the rest

[white pawn]

my brain

[icy quiver]

You have 5 possible choices for the first video game, 4 for the second, 3 for the third, and same for none video games, 10 and then 9

[gray cipher]

ohhh

thank you

[noble jacinth]

What did the question ask you exactly?

[white pawn]

I couldnt find out what x was, and under is a stwp i did

[noble jacinth]

Ah okay

[finite hazel]

does anyone have knowledge about linear algebra?

It's a Computer science subject , if someone can help ,pls dm

[hard ice]

Hey guys, I need some assistance in Homology theory! I've been working on one Algebraic Geometry problem for last month and there are some Homology steps required for the final part of the solution, but unfortunately I've never delved into Algebraic Topology.
Please dm me if you know Algebraic Topology and have deep understanding in Homology theory specifically. That's really important for me :pray:

[shut violet]

you should ask help at mathexchange.com

[hard ice]

Is that website okay with some actual math? Thought those sites more usefull for like first three university years

[shut violet]

Of course there are some real math there. This discord here is more likely to have people with the 3 first university years knowledge than people with actually graduate math knowledge

You see, I study representation theory and yet I don't know a single word of homology theory lol. You should definitely check that site first.

[hard ice]

Okay, I should definitely follow your advice. Thank you very much

[shut violet]

If that doesn't help, I'm pretty sure this site will help you https://stackoverflow.com/

Good luck. Make sure to state your problem clearly and try to show some effort in solving it too, otherwise people there won't help you out

[hard ice]

I have some friends who can help with representation theory if needed but homology is quite rare knowledge here unfortunately 🙃

So I tried to find some luck on the Internet

[shut violet]

I think its rare anywhere lol. Of all my uni friends, not a single one of them have a deep understanding of this. Maybe because it is taught only at some advanced phd courses

[stark karma]

Can someone tell me if I solved this problem correctly?

[shut violet]

(15-3)/(4-1) is the slope of the line containing those points, right? Being parallel means that their slope are identical. Since the slope of the tangent line to the graph of h at x=-2 is equal to h'(-2), then you should solve h'(-2) = (15-3)/(4-3) for k.

So you are right

[stark karma]

I see, thank you for the explanation!

[shut violet]

Np. I tried to help you with the thought process of checking oneself solution

[stark karma]

Can someone tell me if I solved this one correctly? I did 4x = g(x), 4(1/2) = 2 and g'(x) = 4, 2 + 4 = 6

[nocturne prism]

Yep that's correct dude ig

[reef lark]

hello everyone this exercice seems too easy like a) = 5 and b) = 50% what's the trick ?

[maiden sigil]

Hi, Im back again with a different problem, can someone explain to me how to do it

[odd ore]

Is it 7 and 5?

[plush jasper]

Yea

[sudden swallow]

In case you want the solving:

x - y = 2
x + y = 12

2x - y + y = 14
2x = 14
x = 7

7 + y = 12
y = 12 - 7 = 5

Therefore,
x = 7 and y = 5

[sullen locust]

hey, im stuck on determining an equation for h(t) (b), i know the amplitude and centre line, but have no idea how to find the phase shift

[vague pike]

can u guys help me with question 29 please

[stark karma]

how is this A and not B

[green root]

6P3 x 5! = 14400 since the three books can never be together, we can put it in a way like ^-^-^-^-^-^ , the arrows are where we can place the three books, and the - will be the five other books, 6P3 for you can pick any three arrows to put the 3 books, 5! for the other 5 subjects

[green root]

This method can be used for questions asking " X X X cannot be placed together" , the trick is to "take out" the subjects that cannot be arranged next to each other and insert arrows in between of the "-" which are the subjects left, for example given 5 cups with different colors, blue and black cannot be placed together, first we take them out leaving three other cups " - - -" then we insert the arrows " ^-^-^-^ ", from 4 arrows we can choose to place the cups at any two of them which makes it 4P2, and 3! for the remaining cups

[twin surge]

you're missing one term which is the derivative of 2x, h'(x) = f'(g(2x)) * g'(2x) * 2

[stark karma]

why do you do * 2?

[vestal tapir]

hi! would anyone explain to me what the coefficient of determination "r^2" stands for. i got r^2=0,9957 making a graph in excel

[twin surge]

it's the derivative of 2x

[stark karma]

but why are you taking the derivative of 2x in the first place

chain rule is f'(g(x)) * g'(x)

[twin surge]

think of it this way, what is the derivative of h(x)=f(g(k(x)))

[stark karma]

f'(g(k(x)) * g'(k(x))

[twin surge]

it's f'(g(k(x))) * g'(k(x)) * k'(x)

[stark karma]

how tf

[twin surge]

that's why it's called chain rule, you do the derivative for every term

[stark karma]

uh

so you keep doing the derivative of the thing inside?

[vague pike]

@green root thank you !

[twin surge]

exactly

[stark karma]

intersting

howd i make it this far without knowing that

i finished calc 2

ok thx

[silk quiver]

a

[somber hemlock]

B?

[latent gorge]

15th one

[sharp ferry]

By log they mean natural log ?

[latent gorge]

Yeah probably

2elogk

[sharp ferry]

So that means 2k-1=7
k=4
3k=sum of roots =12

ie option 1) @latent gorge

[latent gorge]

thanks

[wanton river]

In this case yes .

[gentle axle]

the answer i got was y+3-xy-3x
i know they'll come to the same thing anyway but is there some rule for what order i should be putting stuff down

[sharp ferry]

y+3-xy-3x is the same as -xy-3x+y+3 but I guess there is a convention for polynomials where we write terms according to their degree

But it shouldn't matter I suppose

[waxen forum]

It doesn't matter in this case

[gentle axle]

What exactly do you mean by "according to their degree" ?

[waxen forum]

like negative term and positive term, aka +y, +3, -xy, -3x

it honestly doesn't matter though

[sharp ferry]

In this case it's fine but in general we have a rule If you have terms like x³ ,x²y , xy

[waxen forum]

exactly

[sharp ferry]

Then x³ comes first

Then x²y and so on

But idek that's just the standard form it shouldn't matter

[waxen forum]

order is according to their power and number of terms, constant goes in the end

[sharp ferry]

Yep

[gentle axle]

Understood

Thanks

[waxen forum]

🙂

[idle current]

Can somebody help me with (c) ? ;)) I‘m not native english and i have no idea what monic means

[cinder lily]

@idle current I think it already gave you the answer...

[waxen forum]

monic polynomial is when the leading coefficient is 1

[pastel girder]

So a=1? Ahha

[cinder lily]

Yes

And b?

[pastel girder]

B you prob find out when the polynomial is devided by x+b and x=-6 ?

[cinder lily]

No need to calculate

[pastel girder]

Don't understand this second part either, has a constant term of -6

[cinder lily]

B is the constant term

[pastel girder]

Oh thats b? Lol

[cinder lily]

Yes

[pastel girder]

What a weird problem 😂

Hard only for non natives

[idle current]

yeahhh

but thanks a lot guys i get it now haha

[cinder lily]

@waxen forum don't you think A(x) could be multiplying (ax+b)?

@idle current if it's a multiplication then the answer would be different

The leading coefficient would be -3a = 1 and the constant term would be -3b =-6

So a = -1/3 and b = 2

[waxen forum]

hold on i think youre right

[cinder lily]

Not so easy after all xD

[waxen forum]

Youre right

Hold on I wrote it out. I'll attach it

[frail geode]

good morning

[idle current]

ah thank you

[idle current]

hello

[waxen forum]

answer

sorry took a bit of time to airdrop

[idle current]

aw thanks for the effort ;))

[waxen forum]

@cinder lily he figured it out so fast

no problem 🙂

[cinder lily]

and you explained it so well

[stable raft]

hello

[waxen forum]

TEAMWORK LETS GOOOO

[stable raft]

its a simple question could anyone give it a try

kashish deposited rs 50000 at the rate 4% in saving account after 5 years he withdrew rs 10000 and total interest of 5 years how long should he keep the remaining amount to get total interest rs 14800 from the beginning

[pastel girder]

what's rs

[frail geode]

i think thats the currency they use

[stable raft]

Currency

yeah

[frail geode]

so after 5 years he withdraw basically 60k right?

[stable raft]

no he withdrew interest

[frail geode]

then i think i dont understand the question

so after 5 years he has 60.832 right?

then he withdraws 10 k, which means he has 50.832 left

[waxen forum]

50000 x 4 x ____=148000

wait

[frail geode]

at 4% interest it is 50k x 1.04^5

[pastel girder]

how does the rate work? like +4% in savings after 1 year?

[sharp ferry]

Simple interest or compound interest ;-;

[waxen forum]

50000-10000=40000,
remaining = 40000 x 4/100,
=1600

[stable raft]

simple interest

[pastel girder]

but he got more money in the time of 5 years, its not only 50k when he withdrew 10k

[waxen forum]

yeah that makes no sense

[stable raft]

kashish deposited rs 50000 at the rate 4% in saving account after 5 years he withdrew rs 10000 and total interest of 5 years how long should he keep the remaining amount to get total interest rs 14800 from the beginning

[frail geode]

im really confused with that question, would you mind posting the original?

[pastel girder]

how does the rate work as the time passes? he gets 4% of what he has at which point? like every few months? or years?

[waxen forum]

2.4 years

[stable raft]

can you explain me the bold part

[cinder lily]

so, after 5 years he has 40000? it doesn't matter how much he had by then, right?

[fiery widget]

how would you do this?

[stable raft]

yes sir

[sharp ferry]

Interest after 4 years is (50k* 4 *5)/100
50k/5=10k so now he withdrew 10k+10k so now he has 40k

[waxen forum]

hold on lemme write it out

[frail geode]

2*sqrt(7)^n @fiery widget

[stable raft]

** 5 years he withdrew rs 10000 and total interest of 5 years **

what does the last part mean

[fiery widget]

how do you get that?

[cinder lily]

so after a few more years he has to have what? 50000+14800?

[pastel girder]

THen this means, he has to get 4800 more from 40k and the question is how much time will it take, at the rate of 4%

[sharp ferry]

Yeaaa it means he withdrew 10k + 10k

[frail geode]

cause you always multiply with sqrt(7) in the following term

[sharp ferry]

Interest + 10k

[waxen forum]

yeah that makes sense

[sharp ferry]

Right?

[fiery widget]

but then how do you get ^n?

[cinder lily]

okay I get it now

[unreal rampart]

shoudln't it be 1.04x and not 4x?

[frail geode]

in the n-th term, you multiply sqrt(7) n times with itself

[cinder lily]

this is the equation

40000*(1+0.04)^x=50000+14800

x is the amount of years after the initial 5 years.... so if you want the total amount of years it would be x+5

[unreal rampart]

Wait didn't he deposit 50k

[stable raft]

4 is the rate and 50000 is principle

[cinder lily]

no, he wants you to grow 40000 to become 50000+14800

[unreal rampart]

I mean 4% is written as 0.04 and not 4 was my point

🤔

[fiery widget]

ahh ok thank you

[stable raft]

14800 - the 5 years interest

5 years he withdrew rs 10000 and **total interest of 5 years **?

[waxen forum]

Sorrry 12/5= 2 years and 2 months

[cinder lily]

I am sorry but the interest after 5 years is 10832.65

[waxen forum]

Answer is 2 years and 2 months

hope that makes sense

[sharp ferry]

Interest from the beginning meaning including the 10k in the first 5 years
So it's basically
Starting with 40k and making an interest of 14800-10000=13800
40k * 4 * t =13800* 100
160k * t = 1,380,000

t=8.625???

[cinder lily]

the problem is ill defined

[sharp ferry]

Because he said it's simple interest

[waxen forum]

yeah thats what i thought. i thought it was simple interest

[stable raft]

let me sent the screenshot

[waxen forum]

OMG

[sharp ferry]

You really meant simple interest right?

[stable raft]

yes sir

[cinder lily]

ah!

[sharp ferry]

Then I got t =8.625

Years

[cinder lily]

so this is the equation

[waxen forum]

yeah

[sharp ferry]

Interest=prt/100

[cinder lily]

so

50000(1+0.04*5) =60000 after the first 5 years... he only had 10000 in interests

[sharp ferry]

Is this wrong then?

[sharp ferry]

Yes he got 10k in the first 5 years

What's the answer @stable raft

[stable raft]

3 years

[sharp ferry]

Bruh

Wait

[waxen forum]

i got 2.4 years

do you round that up?

[sharp ferry]

Wait I got 8 years and then if you subtract the initial 5 you get 3??

[cinder lily]

I think I get it now

this is the equation to solve

40000(1+0.04*x)=40000+14800-10000

[stable raft]

adding 10000?

[cinder lily]

it gives you x=3 as answer

[waxen forum]

ohh

[sharp ferry]

Waittt

Bruh

[cinder lily]

so, after the first 5 years, he only leaves 40000 in the account, then he wants you to grow an extra 4800 in interests

[stable raft]

kashish deposited rs 50000 at the rate 4% in saving account after **5 years he withdrew rs 10000 and total interest of 5 years **how long should he keep the remaining amount to get total interest rs 14800 from the beginning

but shouldn't it be 50000 - 10000 - 10000?

[cinder lily]

60000-10000-10000

[stable raft]

where did that 60000 came from?

[sharp ferry]

P+interest

Interest is 10k

[cinder lily]

50000(1+0.04*5)=60000

[stable raft]

ah thank you

[sharp ferry]

Aaahhh I forgot to add that 40k here

[waxen forum]

thats what i did and i got 2.4

[sharp ferry]

Wait so I have a question

It took him about 5 years to start with 50k and earn 10k

How can it take him 3 years to start with 40k and make 13.8k

When the interest is the same

[cinder lily]

he only makes 4800 in those 3 years, he is taking into account the previous 10k he already got out

[sharp ferry]

HOLY SHIT I'M DUMB I DID 14.8K-10K=13.8K

[sour yew]

if compunded, i think the future value factor should be equal to 1.37 ((40,000+14,000)/40,000).

[sharp ferry]

The process was correct I was wondering what's wrong

Turns out it was a calculation error(╥﹏╥)

[stable raft]

okay

[pastel girder]

lol why did i think it was supposed to be "take into a count" 😂

[cinder lily]

I just have two questions... is kashishi a dude? and why did he saved his money in an account that doesn't compound his interests? (?

[sharp ferry]

Interest from the beginning meaning including the 10k in the first 5 years
So it's basically
Starting with 40k and making an interest of 14800-10000=4800
40k * 4 * t =4800* 100
160k * t = 480000

t=3

[sharp ferry]

Correction

OOOFFF

I can't do basic subtraction

[waxen forum]

yeah that makes sense. the questions worded weird

[waxen forum]

effort counts

[sharp ferry]

I was literally losing my mind

Wondering what I did wrong

[pastel girder]

not if you ask my teacher 😂

[cinder lily]

Albert Einstein once said, “If I were given one hour to save the planet, I would spend 59 minutes defining the problem and one minute resolving it.”

[waxen forum]

WOW thats amazing

[sharp ferry]

but it was just a calculation error :((

[waxen forum]

teachers honestly

[waxen forum]

LOVE THAT

im adding that to my wall

[quick dome]

This chat be entertaining af to read

[cinder lily]

well... I googled it and it seems google images likes the 55 and 5 minutes quote better

[waxen forum]

really?

[cinder lily]

yeah, I got it from here https://www.nbcnews.com/business/business-news/defining-problems-most-important-business-skill-you-ve-never-been-wbna56125046

but who knows really xD

[quick dome]

🤷‍♂️

[waxen forum]

oof its okay i like yours better. its an iteration

[sharp ferry]

👀

[quick dome]

Anyone up for a tricky question that I see on WhatsApp all the time?

[waxen forum]

wow thats interesting. if i focus on asking questions like that though i might enter the twilight zone

[sharp ferry]

I mean alright

[waxen forum]

why not i guess

[quick dome]

Wait for it

Screws with me all the time

[sharp ferry]

Adding the balance does not mean anything

[waxen forum]

the article literally says
"Why is that a problem?” If the answer is another problem, then congratulate yourself for moving from the “presenting problem” to a deeper problem.

omggggggg

[sharp ferry]

Consider this
spent balance

1.          49
   

1 49

[quick dome]

Okay, then make the difference larger than 1 🙂

[sharp ferry]

It's already greater than 50

So it doesn't mean anything

[sharp ferry]

I can do this 50 times balance would be much much greater than 50

[quick dome]

Yayyy you know this stuff in and out xD

[cinder lily]

the story of my life

xD

[waxen forum]

hahaha i second that

[cinder lily]

but I love solving problems

[quick dome]

ingineur

[waxen forum]

Same i like the whole solving more than getting the answer most times

[sharp ferry]

Yep same

[waxen forum]

🙂

[sharp ferry]

That's why I have been lurking around here instead of studying my own stuff 🤧

(╥﹏╥)

[waxen forum]

LOL ME

[cinder lily]

physicist xD

[quick dome]

Oooh fr?

[waxen forum]

oh cool

[sharp ferry]

I haven't been able to finish this one Ch of chem it's been like 3-4 days

[waxen forum]

im doing data sciencee

[waxen forum]

oh no i get that

[cinder lily]

I study in the US, but I'm from Mexico

ah you mean for real?

xD

[quick dome]

haha yes not France

[cinder lily]

this is cool, I like that field

[waxen forum]

lol

[sharp ferry]

I want to get into math but I mean a lot of people who get into math diverge into computer science

[pastel girder]

can i get some help?
The fifth member of the arithmetic sequence is 4. The value of the difference of the sequence for which the sum of the squares of the second and sixth terms is the smallest is:
0.9 0.8 0.7 0.6 0.5?

[waxen forum]

Cant say the same about physics XD

[waxen forum]

totally

its safe

[pastel girder]

I translated this but i have no clue what does this part mean "The value of the difference of the sequence for which"

[sharp ferry]

Are these the options?

[cinder lily]

I find math really easy, for some reason

[pastel girder]

yes

[waxen forum]

its straight forward and there arent many different answers

[sharp ferry]

It gets hard sometimes tho (╥﹏╥)

[cinder lily]

I am not a mathematician because I don't want to die of boredom xD

[pastel girder]

a5=4 which indicates a1+4d=4
a2^2+a6^2=min

that's what i got out of the problem, not really sure if "the value of the difference of the sequence" means d?

[waxen forum]

hahhaha my mom is a mathematician and she does math for fun... i dont get how she does it

[cinder lily]

you know what kind of problems she solves?

[pastel girder]

I dont think there is a specialization in math 😂

[waxen forum]

any kind she just sits with ap and ib questions usually in calc

youre screwed if there is specialization

imagine just sitting and being good at one thing and not knowing anything else in mathh

[pastel girder]

@sharp ferry do you have any idea?

[waxen forum]

oh sorry hold on

[sharp ferry]

Like I had this question I forgot complex numbers completely

[sharp ferry]

Oh wait

The numbers that you have

Gave

Were that the options?

Or did it mean something else

[pastel girder]

Yea, those are the options

[waxen forum]

these are the options?

0.9 0.8 0.7 0.6 0.5?

oh got it

[sharp ferry]

a+3d=4
(a+d)²+(a+5d)² should be minimum

Did I interpret the question right?

[waxen forum]

a+4d=4

[cinder lily]

I'll just give more context, even though riri already got it

this is the equation

[sharp ferry]

Oh yea I read that as the 4th term

[cinder lily]

this is the value of a1=4-4d

[sharp ferry]

My bad

[cinder lily]

a2=(4-4d)+d
a6=(4-4d)+5d

[waxen forum]

great!!

thats what i was dong too

*doing

[cinder lily]

a2^2+a6^2 = ((4-4d)+d)^2+((4-4d)+5d)^2 = 10d^2 - 16d + 32

[stable raft]

how tricks do you use to multiple in your head?

[cinder lily]

hope that means we are getting there

[sharp ferry]

0.8

I got 0.8

As the answer

[sharp ferry]

Is 0.8 the right answer?

[waxen forum]

yeah same

[cinder lily]

wouldn't it be 0.9?

[barren venture]

You made a mistake in the expansion

[cinder lily]

ah

what is the expansion then

[sharp ferry]

Yea

[barren venture]

It should be 10d^2 - 16d + 32

[sharp ferry]

Yeppp

[waxen forum]

right

[sharp ferry]

0.8

[waxen forum]

its 0.8!

[sharp ferry]

I took the derivate

Of the function

After that

[opal bough]

15 . 16 =
15 . 10 + 15 . 6 =
15 . 10 + 6 . 10 + 6 . 5 =
150 + 60 + 30 =
240

[waxen forum]

this is a great idea. i didnt think to graph it

[sharp ferry]

You don't exactly need a graph tho

But it's a great approach

[waxen forum]

yeah true but i had a graphic calc i could have just done that

[waxen forum]

🙂

[cinder lily]

can you show me your expansion?

[sharp ferry]

Forgive the

Poor camera quality

[quick dome]

Try camscanner next time

[cinder lily]

ah I see my mistake I was subtracting xD

[cinder lily]

thank you

[sharp ferry]

Can someone help me with this I forgot complex numbers completely🙂

[quick dome]

Form an equilateral triangle with them

[left knoll]

Hi guys, i need your help 😦

First of all i don't speak english, so i hope you can understand me

[quick dome]

@sharp ferry Are you studying for JEE by any chance?

[quick dome]

Sure go on

[sharp ferry]

Yep (╥﹏╥)

I literally started my prep a few weeks ago or so

[gentle axle]

im trying to make x the subject of this, is x = -5y correct?

[sharp ferry]

And I have to give jee in 2022

[left knoll]

Idk how to solve 21

[quick dome]

All the best boi : )
I wrote mine in 2019 and I'm in IITM now

[sharp ferry]

Omgggg

[cinder lily]

man so many problems all of the sudden

[sharp ferry]

Cann you help me a bit (╥﹏╥)

[pastel girder]

Yea, sorry i wasn't here

[quick dome]

It'll be 13/y - 18

[quick dome]

Sure, feel free to DM me

[quick dome]

Ok so you need to express tan as sin/cos

And cot as cos/sin

That will do the trick

[left knoll]

Thanks

[gentle axle]

sorry @quick dome could you walk me through the steps for solving that?

[muted sand]

same

[muted sand]

woah that's cool

[quick dome]

take (x+18) to the left side by multiplying by (x+18) on both sides and divide by y on both sides
And finally subtract 18 from both sides

[cinder lily]

the first line says: (a1+ib1)(a1-ib1)=1, (a2+ib2)(a2-ib2)=1, (a3+ib3)(a3-ib3)=1
the second line asks for the maximum value of ((a1-a2)+(ib1-ib2))((a1-a2)-(ib1-ib2))+((a2-a3)+(ib2-ib3))((a2-a3)-(ib2-ib3))+((a3-a1)+(ib3-ib1))((a3-a1)-(ib3-ib1))

[muted sand]

x will be (13-18y)/y

[sharp ferry]

Yea

[waxen forum]

ommg i was afk 😦

what have i missed

[barren venture]

Think about it graphically. Z1, Z2 and Z3 lie on a unit circle in the complex plane. Z1-Z2 and the other two are lines joining them, so they form a triangle. So the question becomes what triangle maximises the sum of its squared lengths?

[cinder lily]

that;s right xD

[pastel girder]

Thanks a lot guys on that problem! I just got it right now ^^

Never would have thought of going y' for the min value 🙂

[barren venture]

Generally speaking, for a quadratic of the form ax^2 + bx + c, the turning point (min or max) occurs at x = -b/(2a). You can show this by taking the derivative.

It's a helpful thing to remember if you can 🙂

[waxen forum]

wow im just catching up

nice job yall 🙂

[pastel girder]

Yea i know i think thats like formula for "beta", didn't know its min/max of a quadratic equation

[barren venture]

beta?

[timid delta]

[pastel girder]

oh its was alfa, and beta is = (b^2-4ac)/4a

Its used to make "canonical" form

[barren venture]

Are you referring to sums and products of roots?

[waxen forum]

are you guys working on any questions?

[pastel girder]

α=-b/2a β=(4ac-b^2)/4a and a canonical form is a(x-α)^2+β

[pastel girder]

nope

[waxen forum]

cool 🙂

[barren venture]

Well, if you look at your form a(x-α)^2+β, what is the x value that minimises this?

[pastel girder]

That's just a transformation from ax^2+bx+ c

[barren venture]

β and a are constants, and a square is always >= 0

So the minimum value must occur when the square is 0

That is, x = alpha

[pastel girder]

IF you want to make a quadratic equation

[barren venture]

So yes, your alpha is precisely the turning point too

[pastel girder]

right

Umm i love it 🙂

[timid delta]

Uhhhhhhhhh what's the question or is it just a discussion ?

[pastel girder]

ahha its just a discussion 🙂 but i learned something new

[timid delta]

Ohh

Nais

[white sierra]

Can somebody help me with this?

Sorry for the handwriting and translations

[timid delta]

@white sierra

[waxen forum]

oh nice!

[timid delta]

I just wrote what I thought you were asking , if I misunderstood anything , lemme know

[waxen forum]

wait whats this +2 -2

is that a typo?

[timid delta]

Nope

Aah lemme write neatly

[waxen forum]

oh wait shoot. got iit

*it

all good i got the question

[timid delta]

And for definition of v'(0) , it gives the slope of tangent at x=0 of function v(x)

[cinder lily]

are you done?

[young gyro]

Hey guys do u need help I am a scholar

On maths

In*

[cinder lily]

bidiboi 69 and a scholar... sounds fishy xD

[waxen forum]

haha

[waxen forum]

very

[gentle axle]

Steps:
Multiply both sides by x (xy = 13 + 18x)
minus xy from both sides (0 = 13 + 18x - xy)
and now im stuck

[quick dome]

I think it was -18, no? @gentle axle

[white sierra]

thanks!

[gentle axle]

@quick dome different question

[quick dome]

Ah ok
Here just do the literal reverse of it

x = 13/(y-18)

[cinder lily]

@sharp ferry I take it yes?

[sharp ferry]

What

Oh

I actually went on to do something else

[cinder lily]

did you try a different approach? the triangle one? xD

@sharp ferry

[sharp ferry]

Ah ye

But I got distracted xd

[left knoll]

i got 13(1/y)-18

[left knoll]

x=13/(y-18)

[left knoll]

split it into individual fractions, cancel the h's then set h=0 and the remainder is the answer

[cinder lily]

well, I am interested in seeing the answer for that one

[timid delta]

It's (13/x) + 18 = y , not 13/(x+18)

[left knoll]

i can see my brain is fried. i hate making stupid mistakes like that

[timid delta]

Aaah nvm, everyone make mistakes

[left knoll]

so would it be x=13/(y-18)

[timid delta]

Yes

[sharp ferry]

So the three complex numbers sit on the unit circle and the triangle with the maximum perimeter inside a unit circle turns out to be an equilateral triangle (you can use calculus to prove that) then since the side of the equilateral triangle inside a circle is √3a which is √3 in this case
We get (√3)²+(√3)²+(√3)²=9

Which is the maximum value

[sharp ferry]

I got the equilateral triangle hint from here

[finite hazel]

JEE? XD

[latent siren]

Can we latex here?

$\int x^2 dx$

Oh

[true nexus]

hey could someone plz help me w 8

[timid delta]

@true nexus

[true nexus]

ohh tyty

and it's just parantheses, not brackets

?

[opaque walrus]

hi

ниггер

[timid delta]

-2 and 1 is not included as it will make denominator 0

[true nexus]

ohh oki ty again

[timid delta]

👍

[true nexus]

could someone help me w 6 plz?

[timid delta]

Well I have one question tho , is it limit ∆x -> 0 , or direct?

If it's limit then it would be it's differential

[true nexus]

ummm

idk

treat delta x as another variable I think

this is just stuff that's setting up for calc

so we don't know limits yet

[timid delta]

Ohh

Do you have the answers?

[true nexus]

no sorry

[timid delta]

Well I got 3+2x +∆x

Well someone else may help , am confused for this , we don't have any condition for ∆x , generally it's small so we ignore it , but here ehhhh idk

[true nexus]

it's oki I have class later today so I can ask my teacher

[left knoll]

it's the differential equation with just h=∆x so wouldn't you just do the lim h->0 and find the result?

[true nexus]

could u help w 17 tho plz

[timid delta]

But here limit is not specified , we just differentiate cuz we have to find small change but here ∆x can be large too

[left knoll]

have you done differentiation by first principle?

[timid delta]

As we know the roots y= a(x+1)(x-3) , expand it , and use -D/4a= 4

[timid delta]

According to question a would be negative ( downward parabola)

[alpine pelican]

anyone can teach me what is division and what is lowest common mutiple?

[timid delta]

y= -(x+1)(x-3)

[latent siren]

you mean lowest common multiple?

[alpine pelican]

yes

lol

what is devision's meaning btw

[latent siren]

Are you comparing numbers?

[alpine pelican]

can u just like draw me the logo/symbol of devision lol

[alpine pelican]

yes

3 numbers

[left knoll]

÷

[alpine pelican]

thx brotha

[true nexus]

okay yeah I got that too tyy

[alpine pelican]

ooo

i seee

[true nexus]

yeah idk what that is so no?

[alpine pelican]

so what is x

and how to get y

this maths is super intresting

pls teach me

or show answer

[left knoll]

It's like this have you seen anything like it b4?

[true nexus]

here’s what my teacher got

[true nexus]

I got y=-(x-1)^2 + 4

[alpine pelican]

huh

the hecc

omg

maths is harder than i think

[true nexus]

Or y= -x^2+2x+3

[true nexus]

I didn’t learn that I think

Maybe I did and I don’t remember?

I’m in precalc rn

[left knoll]

well it's a bit further down the line it's simple you just replace x with x+Δx and do some cancellation and you get your answer

[timid delta]

There is a mistake , it should be 2x . ∆x , here only 2∆x is written

[frail marlin]

someone help

[true nexus]

yeah i dunno tbh, I've been doing math all morning and now I have math class :')

she (my teacher) made a mistake or two in the answer key so maybe this is another?

[timid delta]

Yeah I guess so

[true nexus]

3 + delta(x) + 2x

wait I think that is the answer

[timid delta]

Yep

3+2x+∆x

[left knoll]

are you taking maths?

[alpine pelican]

nope ofc i just q-riosu

and i am like a highschool dude

[minor sluice]

There is a short cut method to this called the power rule.

The power rule is the exponent times the coefficient and the exponent -1. So for example, if you want to differentiate 2x^3 then the derivative would be (3)(2x^3-1) leaving you with 6x^2. Try differentiating to confirm.

[minor sluice]

High school squad

[alpine pelican]

lmaof

[left knoll]

ah yeah that's just the quick way to do it

[left knoll]

what grade are you in? maths is honestly tricky and once in University it's on steroids but if you can understand it in basic terms you can pretty much pass w flying colours

[timid delta]

Power rule just comes from the basic definition ;-;

[true nexus]

soon very soon

[timid delta]

Nais

[minor sluice]

How you in 7th grade and call yourself a high school dude

[timid delta]

High school is 11-12th or 9-12th?

[alpine pelican]

jkjk

im jokin

ofc

[minor sluice]

9-12th

Lmao

[alpine pelican]

im like 11th

[timid delta]

Ohhh

[alpine pelican]

how is a 7th in highschool?

lmaof

[timid delta]

I thought 11-12th

[alpine pelican]

text wrong

lol

[minor sluice]

I was about to flame you saying you do calc in 7th grade but call it your worst subject

[timid delta]

Idk class systems in other countries

Calculus in 7th , wut?

Wut

Try solving |-x+1|+|x+1| <=3(2x+1)

I don't have my rough copy rn ;-;

Take cases of values of x and then find it

[unreal rampart]

At right side ypu have to do (1/7)^0

[true nexus]

am I doing this right? these are piecewise functions

[timid delta]

Shift to left and square(modulus term)

[timid delta]

Yeah it seems right

[true nexus]

oki thxx

[high crane]

hello

i have to find the unit vectors of cartesian coordinates with spherical unit vectors as components

anyone have any idea?

[true nexus]

so I’m filling out this revision thing so it’s easy to know which graphs correlate with each equation but I’m a lil confused on the bottom right one

are they just horizontal lines or?

[vague wave]

Could someone explain to me how do we know B=1 in this case?

[vapid locust]

Comparing real and imaginary terms in (sqrt (a2 + b2) + a + ib) and (2 + i), you get b = 1 which is the coefficient of i in (2 + i)

[vague wave]

Ohhh havent though of that. Thank you very much! 🙂

[vapid locust]

np!

[stark karma]

How are you supposed to do this one? I did 2 + 4 = 6 but it was wrong b/c i thought f(x) = 4x

[timid delta]

7 ?

[severe mantle]

Can anyone help me differentiate this term wrt x?

[deep kernel]

so plug x = 1/2 into y = 4x +1
you get g(1/2) = 3
now g'(x) = 4 so at any given point it's constant
you get 7

[timid delta]

I assume Y is constant , as I think this is the field of ring so y should be the radius?

Well you wrote w.r.t x , am stupid

[severe mantle]

no this is from electrostatics and yeah y,Q,q and K are constants

[timid delta]

Yeah electric field of ring with charge 2Q ;-;

[severe mantle]

This is the problem with multiple solutions

I am checking for a

[timid delta]

Am stupid , leave

[left knoll]

use Wolfram Alpha

[stark karma]

well okay. i thought a linear approximation was different. seems like they should have just said function

[deep kernel]

write it as K(2Q) * x / (x^2 + y^2)^3/2

[random flame]

Hihi can someone help me with part a? Ping if you do and thanks in advance!

[severe mantle]

And then?

[deep kernel]

then apply u'v - uv'

/ v^2

[timid delta]

z is constat terms

Constant*

[severe mantle]

Can you equate this to 0 to find out the maximum value of x?

[timid delta]

Okok

[deep kernel]

add square root

you end up with pi/4

or 3pi/4

[stable raft]

(x-y)^2 - 10(x-y) + 25 factorization

[deep kernel]

oh wait wait that's false

[random flame]

Erm I don’t get it 😅

[left knoll]

2 more bruh

[deep kernel]

1 second

[timid delta]

Option 1

[random flame]

Aight aight

[timid delta]

Option 1

[deep kernel]

yeah !

[stable raft]

x^2 - 2xy + y^2 - 10x + 10y + 25 after this?

[timid delta]

Uh answer is ABD?

[deep kernel]

it should be x = pi/6 / 5pi/6 7pi/5 and 11pi/6

[random flame]

Huh what-

[deep kernel]

just remarque that sin(pi/6) = 1/2 and 1/2 ^2 = 1/4

and you start from there adding 2n*pi

[random flame]

I’m so sorry but I’m very confused rn

My teacher taught a different method

[deep kernel]

ah so you have sin(x)^2 = 1/4 right ?

[random flame]

Yeah

[deep kernel]

take x = pi/6

[random flame]

Why tho

[deep kernel]

because we know sin(pi/6) = 1/2

[random flame]

I’m supposed to find x

[deep kernel]

yeah just follow what am saying

we chose pi/6 because it is one clear sol

from pi/6 w get 5pi/6 as result adding 2*pi

[frail geode]

Good has a valid point, since you take the square root on both sides, so sin is equal to 1/2

[timid delta]

|sinx| = 1/2

[left knoll]

good point by good

good is good at math

[random flame]

Umm is it because of this somehow?

I just learned this today -^-“

[deep kernel]

oh they are in degrees

[left knoll]

sin is the y coordinate in the unit circle

[random flame]

Ohhh yea I learned that

Umm then?

[deep kernel]

but you follow with x = - pi/6 since it is the symetric to pi/6 hint they have the same sin value

therefore you end up with 4 sol or you the set

pi/6 + 2npi for n in (1,2,3,4)

[frail geode]

sin(-pi/6) is -1/2 though

[left knoll]

you're familiar with radians right?

[random flame]

Uhh no

Umm-

I’m making shit harder-

Cuz I legit just learned this thing two days ago and uhh-

My teacher is starting a new topic soon-

And everything is confusing all of a sudden-

[left knoll]

The answer is then, 30, 150,210,330

in degrees

[random flame]

I- oh-

What-

I’m sorry I rly dk anything rn 😂

[left knoll]

there are 4 solutions to that equation

[random flame]

This is what my teacher showed in class today

It looks like there’s some kind of method

But then idk how to apply it to my hw question

[left knoll]

wait a sec

[random flame]

Btw if you can’t help then Issokay

I’ll just ask someone else

[clever sail]

can i get some help with this guys!

https://cdn.discordapp.com/attachments/837000153772458004/839465092235001887/image3.jpg

[random flame]

Hmm

[left knoll]

now use that table

[random flame]

Umm it says 30 degrees

For sin 1/2 only

I don't think negative value is accepted

[left knoll]

Well

[random flame]

I-

I'm supposed to follow that?

[left knoll]

Sinx is the y coordinate, notice that it's 1/2 at 30, 150 and - 1/2 at 210,330.

[random flame]

Ohh

Umm then how do I write my working?

Do I just straight up write the ans?

[left knoll]

first this

[random flame]

Yea I wrote that down

[left knoll]

yeah and then the answer

[random flame]

I don't think my teacher would accept it -^-"

[left knoll]

why lmao

[random flame]

I mean

Most math teachers I've come across always asks for the working

They go "AIGHT WHERE'S YOUR WORKINGGGG" in front of the whole class

Sooooo-

[left knoll]

if you're familiar inverse trigonometric functions you may use that

[random flame]

Thanks btw 😂

[left knoll]

your teacher has used em

[left knoll]

np

[random flame]

Yea by doing some random calculation

And simplifying the equation to make it easier to solve

Issokay Ima try and figure it out

Thankiew!

[meager fjord]

Can someone help me understand the difference between permutations and combinations in probability?

[severe mantle]

Yeah

[deep gate]

IIT JEE lol

<@&717391911132069929>

[left knoll]

??

why did you pin me ?

[deep gate]

i din't pin you

[ruby tinsel]

Hi guys! Please do not mind my terrible diagram... Closest distance of line 1 and 2 are met when the distance vector between them are both parallel to Line 1 and 2. Let's say that their ends are A and B. Does this mean the positions of A and B share one of x, y or z value?

[left knoll]

u pinned peeps

and i'm one of the peep

[deep gate]

i pinged

no pins

[left knoll]

my word doesn't workin

[deep gate]

well then your keyboard sucks

[left knoll]

wait chanin the keyboard

[deep gate]

[rough roost]

bruh lmao

[deep gate]

[twin blade]

can someone explain this in simple terms with example?

[worn mist]

!warn @deep gate pinging peeps for no reason

[ripe bay]

Srijandev#0001 has been warned, this is their first warning.

[worn mist]

also don't be rude next time

[deep gate]

f ok

I wasn't

[ruby tinsel]

Please,,, help needed,,

[twin blade]

someone?

[barren venture]

Intuitively, the idea is this:

Say I give you a bag with 5 balls, with the numbers 1 to 5 on them, and I ask you to take 3 balls from this bag.

Let's say on your first try, you pull out 1, then 2, then 3.
On your second try, you pull out 1, then 3, then 2.

These 2 tries have different permutations (123 vs 132, the order matters). However, there are the same combination of balls (you ended up with balls 1, 2 and 3, the order doesn't matter).

[twin blade]

pog the simpliest explanation i have seen

[barren venture]

I'm guessing a, b and c are from ax^2 + bx + c?

[twin blade]

yes

[barren venture]

So let's take the easiest example a = c = 1, b = 0

So we have x^2 + 1

D = b^2 - 4ac = -4 < 0

[twin blade]

ye

[meager fjord]

thx

[barren venture]

So the roots of x^2 + 1 is +i and -i, which are complex conjugates of each other

[twin blade]

oo

[barren venture]

So in general, if you have a,b,c that are real numbers

And D < 0

The roots will be complex conjugates of each other

So if one is p+iq, the other must be p - iq

[twin blade]

ahhokie thanks

[ruby tinsel]

I figured out if they do share any of the xyz values. If anyone was wondering, this will not always be the case. Suppose that A is <0,0,0> and B is <3,3,3>. They are not be sharing any of x, y or z values.

[ornate copper]

Can you guys show me the work for this problem :/

[green island]

Oh grosss

I haven’t done that in years

[ornate copper]

Its calculus i cri

[barren venture]

So first, use the formula they gave you.

f'(2) = lim (h -> 0) (f(2+h) - f(2))/h

So what's f(2+h) and f(2)?

[ruby tinsel]

Find the dev of f(x) first then sub 2 into x. I think you have to use that. I think you will have to use the first principle to find the dev

[green island]

Should =8 btw. Not sure of that notation.

[ornate copper]

It alrdy shared the first derevative tho

[green island]

No it gave you the base function,

[ornate copper]

And what abt the limit h>0

[green island]

It doesn’t want you to use derivatives wants you to use that equation it gave you

[ornate copper]

Im dead

[ruby tinsel]

Yes, it wants you to use first principle to find the derivative.

Might help you how to do it?

[barren venture]

Can you solve it from here? @ornate copper

[delicate totem]

Can u guys help me with this shjet??Sr for my bad english so i cant talk too much!!!

[ruby tinsel]

What are you after?

[delicate totem]

I wanna find the corner [(SBC) (SCD) ]

[minor sluice]

I got 8, might be wrong

No it is 8 nvm

[ornate copper]

Sorry i usually get it after seeing the full work and working another alternate problem 😦

[barren venture]

Ok

[ornate copper]

Can i see the steps :/

[minor sluice]

Ight

[vague wave]

So im studying for analysis1 and Im not sure why tan-1 Infinity equals PI/2 here.

[left knoll]

the angle right?

[minor sluice]

Its a bit messy

[delicate totem]

@left knoll yeah br

[ornate copper]

Oh no i have way sloppier handwriting

[delicate totem]

The angle

[barren venture]

A way to think about it is just "what angle x makes tan x undefined"? (Think about the graph of tan x)

You must also be careful of writing 1/0 = inf, I understand what you are trying to say but that's a dangerous thing to write 😛

In your question, where you are finding the argument of the complex number i, we usually make this case a special case (see below)

[ornate copper]

Ohhhhh wth..

[delicate totem]

Dont know how to explain angle or corner

[ornate copper]

Icic thx guys

[delicate totem]

In math we use angle right

[barren venture]

The number i falls in the special case of "x = 0, y > 0"

[balmy spear]

hi, could someone here help me with technical drawing?

[hidden fossil]

whats up

?

[balmy spear]

i dont know how to do this

look

its says that i hace to represent the plain P which is paralel to Q and contains a

i think i have to view it in profile but im not really sure

[hidden fossil]

cant you just make a vertical plane over a that is parallel to Q?

[balmy spear]

oh

just like this?

[hidden fossil]

that makes sense to me but im not super good at math

[balmy spear]

xdd

[hidden fossil]

this is multi variable calc right?

[balmy spear]

idk

its just drawing

[hidden fossil]

what class?

[balmy spear]

technical drawing

this exercise its about diedric system

[hidden fossil]

that would be my best guess. sorry i cant be anymore helpful

[balmy spear]

nono its ok

im very thankful

also my English is not so good so maybe i dont explain myself correctly

anyway ty thomas<3

[hidden fossil]

it sounds pretty good to me

no probelm

oh maybe make your P' start at a' and be parallel to Q'

that might be a better answer

[balmy spear]

you mean

[hard jasper]

https://www.mongge.com/ejercicios/2113

[balmy spear]

this is basically god

ty thomas i will use what juls just sent

<3

[hard jasper]

Yeah hope it helps :)

[balmy spear]

its a different exercise than mine but i supose the resolution will be the same

[hard jasper]

en el tuyo las dos proyecciones del punto están debajo de la línea de tierra, no sé si eso cambiará algo hace mucho que lo di...

[balmy spear]

claro x eso sbs xd

[hard jasper]

sry for talking in Spanish didnt know How to say that

[balmy spear]

pero lo intento igual:)

[hard jasper]

good Luck

[balmy spear]

ty

@hard jasper how do you see it xd

im still thinking that i have to see it in profile but im not sure

i will leave it like that anyway xd

[hard jasper]

yeah maybe you have to do the profile

I don't remember was long time ago :/

[stark karma]

Does anyone want any robux? I'm able to give up to 30k for someone who can give help on demand lol

im in calculus 2

[gilded schooner]

https://cdn.discordapp.com/attachments/833398540473597995/839528840711110706/kurba.jpg

[left knoll]

uh i am new here, can i send my hw here rn

im a bit confused, someone pls ping me if willing to help

ty :>

[desert socket]

ill try : )

[left knoll]

alr

sent in wrong order oop

[left knoll]

there u go

[dim yacht]

Idk some of the things bt I do know which is function and which is not

Mention me if you have doubt in finding functions

[robust pecan]

m8 look at it like a coordinate(even though its not), the x value, the first value, is the input and the y value is the output
example: (2,3) 2 is the input and 3 is the output

[left knoll]

k ty

[robust pecan]

read the top of ur worksheet it explains everything u need to know

[sharp ferry]

f'(x)=((3(x+h)²-4(x+h))-(3x²-4x))/h
=3x²+3h²+6xh -4x-4h-3x²+4x /h
=3h²+6xh-4h/h
=3h+6x-4
put h=0
f'(x)=6x-4
f'(2)=6(2)-4
f'(2)=8

[ornate copper]

oh i understood thanks for the help tho

[left knoll]

hello, can anyone help me with math?

[lyric goblet]

depends what type of math it is/ which year you’re in

[unreal junco]

I can definitely help with 2nd grade math

[drowsy basin]

Lol I have to memorise this

The first principles differentiation equation

[ornate copper]

Lol

[pastel girder]

Can anyone help out?
Geometric sequance
Sum of first 3 articles of a growing geometric sequance is equal to 7,
and sum of their squares is 21, which is 10th article?

[grizzled sage]

Can anyone help with this? It's for the surface integral bounded by whats given w/ S:
I got 1584 by integrating with respect to x and z but apparently it's wrong :')

[grizzled sage]

NVM I got it

[twin surge]

at first glance I would transform the coordinates from (x,y,z) to (r,theta,z)

[violet nest]

Ian

[north geode]

anyone who help me?

preference a person who talk spanish

please

[spring smelt]

anyone down to attempt to explain binomial to normal approximation to me

[left knoll]

how to add

[spring smelt]

idk

[simple glacier]

The second question.. I couldnt think of anything

The first one i did my expanding sinx and coshx seperately and multiplying.

[spring smelt]

oh shit theres an equation for this

is there?

no thats something else

i was thinking binomial expansion but nah

[simple glacier]

I tried expanding sin x, and then dividing by x.. But then it doesnt work out🙂

[stark karma]

can someone help me figure out how to do this one? im assuming i need to forge a tangent line equation somehow?

[velvet shore]

does anyone know how to solve this? I have some ideas but no luck so far

[mental dragon]

is there more information to the question, like do we know the true values of f(1) and f(3) or what the underlying function f(x) looks like?

[stark karma]

yea there isn't, i think the question is just bad and impossible to solve

[mental dragon]

yea personally I don't know what the question is getting at so maybe someone else can jump in.

As far as i can tell, all we know is that the tangent line at x=1 is f(x) = 4*x + b, so I guess you could substitute in f(3) and get 12 + b.
How much we are overapproximating depends on what the actual function is.

[stark karma]

yea, and we don't even have that

its gotta be impossible

surely

[waxen forum]

does anyone still need help?

[zinc dagger]

would it not be just 4(x-1), where x = 3 (3-1) is the difference in the values with 4 being the slope at 1

[waxen forum]

which one are you talking about?

[zinc dagger]

singlesided

linear approximation

[waxen forum]

is this the question?

[zinc dagger]

they sent it

yea

[zinc dagger]

ask in #science-help

[frigid flame]

can anyone do iit jee adv. que

[crystal lagoon]

hey i have no idea how to do this 🥲

[sly shadow]

is anyone good with matrices?

[waxen forum]

yeah sure 🙂

lemme see

[sly shadow]

one sec

[timid delta]

12²=6×(6+x)@crystal lagoon

[waxen forum]

yup

[crystal lagoon]

so would that be 18

[timid delta]

Yep

[crystal lagoon]

THANK YOU

[timid delta]

😀

[sly shadow]

sorry i meant vectors not matrices

[crystal lagoon]

( ^▽^)σ)~O~)

[sly shadow]

@waxen forum i posted above

[left knoll]

Is that a finger, going into an asshole??

🤣

[frigid flame]

Bro pls don't make the grup a garbage

[crystal lagoon]

no ...

[paper ocean]

can any one teach me differentiability

[left knoll]

That's what it looks like 🤣

[frail geode]

@paper ocean depends on what level you need it

Are you in Highschool?

I can’t help you if you’re not replying .-.

[unreal ore]

3x2 -6x
help guyss
its for a quadratic assignment

[timid delta]

6-6x?

Ohh that's x²

[unreal ore]

ye

sry

[timid delta]

3x(x-2)

[unreal ore]

tyyyy

[timid delta]

👍

[fleet salmon]

2+2

[timid delta]

That's a tough question

[fleet salmon]

Ya bruh really 😂

[unreal ore]

truu

x^2 +-44x

[left knoll]

hi, does anyone know how to solve this?

[silent snow]

what a painting, sorry

[night wolf]

anyone online?

I need some help

[timid delta]

Send , Idk I can help or not but will surely do if I can

[night wolf]

ok ty, how can you estimate y when 3^y = 20

[timid delta]

Do you know about logarithm?

[night wolf]

no, i don't 😦

but i will learn it

[timid delta]

Ohh yeah sure , there are other ways too (from derivatives) but idk if you know about that too

But derivative one will give approx value

[night wolf]

i only know basics of derivatives so i dont think i can use it