math-help

[odd salmon]

but yeah it doesn’t show any @@ bcoz b < 0 so a(4.4)^b can ‘t show a(4.4) as base/coe

i think this question is harder to understand though

try this instead and u can see

[reef kraken]

???

[odd salmon]

like in this one x = 0, f(x) = 1/16

[reef kraken]

what is "function displays as the base or a coeff" mean

[odd salmon]

so B is correct bcoz if u substitute x = 0, the function equals 1/16

[odd salmon]

YEAH RIGHT

[reef kraken]

does that mean

[odd salmon]

i guess it’s like

the factor

of the function

[reef kraken]

i call bs

ahahahha

dw man

im just too stupid for this

[odd salmon]

… no im just trying to

prove my method hhahahaha

IDK IF I GET IT RIGHT AS WELL

[reef kraken]

oh

[odd salmon]

Ahahhaahah u can give this a try

me saying goodbye to math

💀💀💀 so hard imma die

[reef kraken]

is it 1 and 2???

cuz they

both do have y intercepts

not the same ones

[odd salmon]

i thought they were at first

but the answer was D

[reef kraken]

im gonna break something tongiht

fr

gimme one last one

one last banger

the hardest ques ever

i gotta do my own work thn

[odd salmon]

=)))))))

i ran out of my ques bank though

😭🤚 cya tmr

[reef kraken]

eh its okay

[left knoll]

Gotta find the domain. But not sure if I did it right

[left knoll]

What's the E sign again?

So no D(-infinity, -2] U [3, infinity) ?

[naive dew]

It's the same as D sign
E means "belongs to"

[naive dew]

Nope it's 3 - t
You've solved t-3 I think

[left knoll]

Ahh okay

[left knoll]

Does that mean it can't be anything else but -2,3?

[naive dew]

Yeah

[left knoll]

Alrighty! Thank you, your handwriting is really nice btw

[naive dew]

t ≤ 3, it means t is equal to or smaller than 3

I think you got a Lil confused

[3, infinity] says it's equal to bigger than 3

[left knoll]

Ahhh okayyy, gotcha! Thank you

[slim garden]

hey guys , can you suggest me some good courses or channels to study math for my 1st year in Btech (CSE)

[vast rune]

the maths sorcerer

[slim garden]

thanks

[nimble delta]

My answer is 3.571 and the correct answer is 3.5

[nimble delta]

i do get the method but

they are saying no solution and its a equation of linear graph. We can convert the equation in y=mx+c form and equate the slope, because if slope are equal, there wont be any solution

and for that i converted everything to decimal

and i got answer as 3.571 which is near to 3.5 but still its incorrect

when do i know, till where should i use the decimal points

[nimble delta]

actually this method is far easier, thank you so much

🫂

[naive dew]

This method may result into complicated calculations, it’s still possible

[nimble delta]

yeahh its time consuming as well

[nimble delta]

thank you for ur method❤️

i did remember learning this thing back in 9th grade

and i was like daymnnnnnnn we can use that over here!!!1

[naive dew]

I can give you the notes for normal and infinite solutions if you want

[nimble delta]

most questions in SAT are asked for no solutions

but can u say for inifinite solution

was it all the terms should be equal

[naive dew]

Yeah

[nimble delta]

I have my exam tomorrow🤧

[naive dew]

Their ratio

[nimble delta]

okieee, i got it

[naive dew]

Give it your all my friend, best of luck

[nimble delta]

yesss🤧

Thank youu so much for ur time and effort❤️

[vast rune]

ur so helpful man, wish u get what u want 🗣️🙏🏻

[median harbor]

Thank you so much

[left knoll]

Did I do this right? Also how would I find the range?

[honest sleet]

ive never tried these type of qs but for range maybe try all no.s excluding f(2)

[vast rune]

yes its right but u could also write xE R-{2}

short way of writing

[honest sleet]

@vast rune range?

[vast rune]

trying

itll prolly giva quadatic eq

idk

[honest sleet]

R - {4}

[vast rune]

no wait

[vast rune]

yes

yes

i wa rong

[reef kraken]

range is literally just R

[vast rune]

no

[reef kraken]

yes

man

[vast rune]

howw

[reef kraken]

wait

no

ur right

my b

[vast rune]

oo

[vast rune]

I tried my best

Am sori

[left knoll]

Thank you so much brudda

[honest sleet]

hey guys can you help me with this,
GIF(root m) = GIF(root(m + 125))
find the number of integers m satisfying above equation such that 1 <= m <= 5000

[vast rune]

Damn

Looks hard

[naive dew]

Couldn’t solve it

But I found a solution on the web

https://olympiads.hbcse.tifr.res.in/olympiads/wp-content/uploads/2016/09/sol-crmo15-4.pdf

[honest sleet]

thanks

[noble creek]

anyone know how i can solve number 14 , 15,16

or the name of the lesson bc i didn't find it on the paper

[honest sleet]

guys try this question

Lines are drawn from a corner of a square to partition the square into 8 parts with equal areas.
Another set of lines is drawn in the same way from an adjacent corner. How many regions are
formed inside the square and are bounded by drawn lines and edges of the square?

im also trying to solve it rn. but got nothing till now

[weak lotus]

64?

[honest sleet]

no the answer is 58

the soln and approach is what i seek

[dusty saffron]

Well I got the answer

But I drew the whole thing lol probably not the right approach took me only 3-4 mins tho

There has to be some mathematical way ofc which I'll try to find

[minor basin]

What did I do wrong in here?

[bronze edge]

hello, I'm brazillian (that's needed for context)
I need help understanding a thing here, what the terms "one to one" and "onto" relate to when talking about functions? that the function is bijector?

[bronze edge]

the lim x->1 g(x) Does not exist

that's whats wrong

[minor basin]

Hi, thanks for responding. I already solved this problem on my own. Thank you so much!

It was all about observing how the graphs are approaches to the given x-values.

[bronze edge]

Yes yes, because lim x-> 1+ g(x) = 1 and lim x-> 1- g(x) = 0

[minor basin]

Wait, I think you changed

lim x->1+ g(x)=0

lim x->1- g(x) =1

[bronze edge]

You're right

[keen walrus]

Can someone help me with this?

[carmine basin]

pls help

[rough mist]

Well wouldn't you subtract both times to find out the time that he ran and so its at a constant pace it would just cover half the distance in half of the time. And then you would just plot the rest of the points. If that makes sense sorry if that wasn't a good explanation or it may not even be right. Hope that helps tho

[still condor]

its done in a way such that the denominator gets cancelled out

[celest hatch]

One to one means that no 2 values in the domain of the function give the same output and onto means that all the values of the given co domain are in the range of the function

If a function is both one to one and onto then it is called a bijective function

[bronze edge]

Hmmm thanks!!!

[teal moon]

Can anyone help with the question at the bottom

[left knoll]

I don't know how to find the ranges for 5 and 6

[left knoll]

What do you mean because of 4 in the numerator?

[twin sinew]

The denominator should always be greater than 0, so you put 3-t≠0 which becomes t≠3 so the domain is (-∞,∞) - {3} and the range is set of real numbers for the 5th question

[twin sinew]

You do the same for 6. By putting t²-16≠0 and then solving for t

so except 4 and -4, everything is in the domain

and the range is again the same

[left knoll]

So range would be all real numbers? Or

[twin sinew]

yes correct

since you're allowed every input (t)

[left knoll]

Okay! Thank you so much

[twin sinew]

@left knoll okay theres a correction, the denominator can never be equal* to zero

[left knoll]

Thank u :))

[twin sinew]

😭 that emoji

[left knoll]

I meant for it to be

There we go

[sacred marsh]

Is there a way to solve this equation?

[tropic gale]

you can graph it in desmos and look at the roots

[sacred marsh]

Thanks @left knoll @tropic gale

[left knoll]

ur wlcm

[naive dew]

Range can never be zero here, for what x do you say that the output will be zero?

[naive dew]

Zero is included in range if the numerator can become zero at a value of x. Here 4 is a constant therefore numerator can never be zero

[twin sinew]

youre right

[left knoll]

Thank youuu

[rustic sapphire]

does anti symmteric property imply reflexive property

[crude fossil]

Why real analysis is hard ?

I feel like I'm struggling

[twin sinew]

No

[weak lotus]

is it proof based

[hushed condor]

What is the length of the longest possible circuit (with the most vertices) inthe graph in Figure 1.4?
Can anyone please help 🙏

[ember perch]

Can someone help me with this

[sacred marsh]

What do you need help with in that?

[rustic sapphire]

wdym no,
give some explanation or smtg,
like reflexive is if (a, a) exists
and anti symmetric is if, (a, b) & (b, a) exist => a=b => (a, b) = (b, a) = (a, a) => (a, a) exists => antisymmetric is same thing as reflexive

[twin sinew]

yeah but not all reflexive relations are antisymmetric

[rustic sapphire]

so antisymmetric is same thing as reflexive, but converse isnt true?

[twin sinew]

only if a=b tho

you can check math stack exchange you will understand better there

[rustic sapphire]

isnt a=b a necessary condition for anti symmetric,?

not necessary, but like a result of anti symmetric

[honest sleet]

just wanna give u guyz a qs

[calm geyser]

Got to learn these, how would I do it, it's because I'm going into engeneering, I can probably do all the others except caculus which I have 0 clue with also I need to wake up my math brain for having like 2 months off

[vast rune]

start wuth functions ig

[vast rune]

can someone explain argument and amplitude of complex number

[lethal ingot]

Anyone here who knows math? of Class 12th

[lethal ingot]

it would be nice to be frnds with u fr

[naive dew]

Just calculate alpha with the help of a+ib and use the alpha to determine the argument THETA

[main quarry]

Goated

[celest hatch]

89?

[deep edge]

Guys do you know how to solve this problem? It was on our exam last school year and I'm trying to figure out how to solve it: if 2000 becomes 5796.56 after 6 years when invested at unknown rate of interest compounded bimonthly (every 2 months), determine the unknown nominal rate and corresponding effective rate

[vapid spruce]

is there a special concept used here??
[pls ping]

[supple birch]

@vapid spruce

[left knoll]

Excuse my handwriting

[left knoll]

What are the different meanings? Thank you so much for taking the time to explain to me, I genuinely appreciate it

[naive dew]

You asked, so yeah

Goodluck

@left knoll

[left knoll]

Thank you !

[loud storm]

the surface will be coated with a liquid that will harden and seal the surface from further corrosion. this liquid is purchased in 5 gallon buckets. if the surface must be coated toa thickness of 0.25cm how many buckets of liquid should be purchase? (there are 3785 cm^3 in a gallon)

someone help pls

[sacred marsh]

Is it given how much 1 gallon or 1 bucket coats, or the surface area of the wall?

[sacred marsh]

The question is definately missing data to solve

[loud storm]

X rays and microwaves travel at a speed of 25.0 cm/ns (cm per nanosecond) in a vacuum. convert this to speed to m/s (meters per second)

i need help

[loud storm]

thx thx thx

[loud storm]

can someone help me with this

[loud storm]

it says use dimensional analysis

[sacred marsh]

ah

[loud storm]

sorry 😭

[sacred marsh]

Honestly I've forgotten dimensional analysis now

You can easily find a yt video for unit conversion with dimensional analysis though

[loud storm]

alr ty for ur help btw!!

[loud storm]

this is correct thanks!

[vapid spruce]

OHHH THANK YOU! , I had a hard time trying to draw the diagram myself

[deep edge]

A highway contractor purchased a grader for 600,000. The annual operation cost was 30,000. Five years after purchase, it was overhauled at a cost of 55,000. Three years after the overhaul, it was sold for 220,000. If the interest rate is 18%, what was the equivalent uniform annual cost? Draw cash flow diagram

[red bloom]

ima be honest, i'm struggling with maths anyone got tips in order to get better

[sacred marsh]

Well I would say go through your books and practice material and solve practice questions (or figure out how to do each one by one) until you get comfortable with the concepts used and needed to solve and the way questions are solved

[red bloom]

Well then if that’s the best way it then I might try that

Thank you

[sacred marsh]

idk if it's the best way but in my opinion maths is something to be understood right, so you can understand the concepts by studying them but if you just keep studying concepts they won't retain in your head, so if you apply them with easy basic questions of each concepts you'll slowly start getting used to it and understanding how to use each concept.

It will be slow and difficult when you get stuck at every question at start and have to look for solution and understand the solution one by one, but gradually you will start solving yourself and it will be worth all the slow persistant pushing through to understand each and every basic question's steps

But honestly this is coming from a guy who has been naturally good at math since start and I've seen people who aren't. So I guess you should also take advice from someone who wasn't initially good at it and then got better.

[left knoll]

This is random, but how do you make those nice brackets 😭😭 mine always look like squiggly lines lol

Look LMAO

[sacred marsh]

bro I've been making them for 7 years now and mine are still way worse than yours 👍

[left knoll]

But I want mine pretty too 😔

[sacred marsh]

understandable

[left knoll]

I wanna see yours now lol

[sacred marsh]

I don't have maths anymore so I have successfully avoided to use them for a long time lol

[left knoll]

Hahaha

[left knoll]

I can't solve this 😭😭 @sacred marsh

[naive dew]

Idk maybe it's my writing style

[sacred marsh]

What I usually do to find range is flip the equation in terms of y, and then check what values can be inputted in y to have a real output in x.

So like this

[sacred marsh]

By this method, shouldn't x^2 start from -9 instead of 0?

[sacred marsh]

@left knoll dm me if you don't understand something in this ;-; idk if I wrote it properly

[naive dew]

Can a square of a number be negative? X^2 will start from 0, it's value can never be -9 no?

[sacred marsh]

ohhh right

wait yeah so y can never be negitive

[naive dew]

Yeah bro

[sacred marsh]

but why isn't sqrt([9,inf)) = ±[3,inf)?

Like shouldn't we take the negitive part too and then when y range is found, say the y cannot be negitive, hence the range is only the positive part?

[sacred marsh]

right

makes sense

[left knoll]

Thank you!

[left knoll]

You've got very nice handwriting!

[bronze edge]

Hey, anyone here knows about D.G.?

If yes, please @ me

[red bloom]

Man I wish I had that talent

[sacred marsh]

dw lol hard work always beats talent

[bronze edge]

What about showing the observation?

Like I did everything you dos, but need to show why the hint works

[red bloom]

maybe, i just need to find myself working hard, so far i recently found james and just him wanting to study hard and his study streams make me wanna study hard to

[sacred marsh]

Well you see I mentioned how they are the components of the vector T(s), so if we were to write a relation between phi(s) and T(s) it would be this, I thought that's all was needed to explain "why" it works

[bronze edge]

There is a nuance but yeah, you are right

The components are |T| Cos((phi)(s)) and |T| Sin((phi)(s))

And then (by definition of T) |T| = 1

[bronze edge]

My professor did in such a different way tho 🫠 this class is Very non trivial

[sacred marsh]

Ahh

[bronze edge]

I'll write later so you can see what he did

[sacred marsh]

Sure

[mystic thunder]

the answer is second option

idk how

[naive dew]

The question is wrong

I solved twice, was getting an extra term at the end

[mystic thunder]

Oh then should the last term be

minus

[mystic thunder]

yeah it must be

there were sm misprints in the question paper

[naive dew]

Then I checked on the web

[mystic thunder]

oh

[mystic thunder]

ye I was getting this too

[naive dew]

This is the correct question apparently

Be alert while solving them! They can waste a lot of your time

[mystic thunder]

I KNEW IT WTF

BRO IMGONNA

beat the shi out these people

BUT thaNK YOU

[vague wing]

i want to understand this

how to earn in babycakes

ambassador incentive

earn php 1,000 for every direct invite and additional php 1,500 for every pair of direct invite (pairing bonus)

earn more from your direct invites:

1. endorsement - 3% of the package price (php 19,800) per indirect invite
2. sales - 0.5% of the total sales per month

success stories

berto availed the package to become an ambassador of babycakes. he earns around php 35,000 per month through direct endorsement

How many people did Berto invite in a month to earn Php 35,000?
Note: Consider the number of invites could be either even or odd. Apply the correct formula.

i gto this but i forgot

[vague wing]

help me math

[sacred marsh]

so php is like a currency?

I don't understand direct and indirect invites

[vague wing]

i have different math question

what makes the two equations simillar and what makes them different from each other?

[vague wing]

yep

[sacred marsh]

well the power

you see an equation always makes a curve
y=mx+c makes a straight line because x is raised to power 1
while y=ax²+bx+c would make a parabola because x is raised to power 2

[vague wing]

yes ^2

[sacred marsh]

equations with both y² and x² make a circle

so looking at the powers you can well define the curve it can form

[vague wing]

wow i never knew that!

[sacred marsh]

even plot it by plugging it into desmos

or any graphing calculator

[sacred marsh]

in this question you can tell the baseball pitcher throws the ball in a straight line, and the ball after being hit by the batter travels a regular inverted parabola curve like any projectile

[vague wing]

hmhhm

[sacred marsh]

Graphically, these are the two curves of the question

[vague wing]

why?

[sacred marsh]

well because in an equation with
y = x
each value of y has only one corresponding value of x
so at y =4, x will be 4

but at y=x²
each y has two values of x
so at y=4, x is +2 as well as -2

This has one x for each y

this has two x for each y

hence if you plot all possible values of y and x for the equation,
with y=x you end up with a straight line
while with y=x² (two points each y) you end up with a parabola

and then other variables like m and c in y=mx+c define further nature of the equation like value of m determines slope of the line and c defines the lines intersection with y axis

and there's many other variations you could write the same equation in based on the variables you knownor have to use same goes for all other curves there's a whole topic of this stuff

[vague wing]

woah 🥺

[sacred marsh]

but honestly if you have this question to be done you must be studying something higher than curves right? to solve this question you should already know this stuff

[vague wing]

higher than curves?

uhh square?

[sacred marsh]

as in higher studies, more advanced math

[vague wing]

Solving Quadratic Equations By Extracting the Roots

[sacred marsh]

ohhh ok

[sacred marsh]

but how will you find the height here with that?

[vague wing]

were not solving anything

only asks questions

[sacred marsh]

oh

ok

[vague wing]

thank you for everything aki

[sacred marsh]

lol np

[vague wing]

if you need help also ill try do my besy

[sacred marsh]

yeah sure thanks

[vague wing]

like im good at dancing and doing origami

[sacred marsh]

Ohh nice

[analog yarrow]

Hi

[pastel pecan]

gahahaha this is fun

[vague wing]

what iss?

[cursive lark]

can somebody please solve this guys im stuck

[mental perch]

knk cevap 90 mı

[cursive lark]

[mental perch]

kırmızı çizgileri paralel olarak çiz sonra ona uygun sekilde diger çizgileri çiz arası 90 çıkıyo @cursive lark

fotografını atabilirim istersen

[stray locust]

Hello, could someone explain where to begin?

Would it be 5•5•3?

[vast rune]

I think it's 1024

Or

[stray locust]

This helped a lot with the other questions as well thank you!!

Would this be the same format or?

[vast rune]

yeah ig 10 factorial

[stray locust]

Ahh okay

Thank you guys so much this really helped me

[frosty tinsel]

why is the answer infinity can some explain please ty!

[pastel pecan]

as the value of x reaches 1
the value of (x-1)^2 reaches 0
hence making the equation 1/0

[bronze edge]

I'm having some problems with notation with prof. Galloway's notes

What are the deal with the dots above the functions?

[supple birch]

derivatives

[bronze edge]

thank you

[potent oriole]

Help please

[fast heath]

anyone good at matrices? really struggling with this rn and not sure what to exactly do :// ( I found X ) but what do the ABX = C at the top mean

[lethal umbra]

you have to calculate the inverse of the matrix en then multiply it to the left matrix to have X

just like in calculus

[lethal umbra]

i you have more question i can help

[fast heath]

what do I do with the ABX = C; AXB = C; XAB = C; at the top?

[lethal umbra]

what is the question of the exercice

because like this they are just useless

[lethal umbra]

for me its just to show that this is commutative maybe

[fast heath]

ah ok thanks

I was so confused byy that

[weak sentinel]

Could someone explain why when they get rid of the exponent that they get (x^2 +8x +16) and not (x^2 +16)

[naive dew]

Bro it's (a+b)^2 identity

(x+4)^2 = x^2 + 16 + 8x

[weak sentinel]

I don’t understand

Where does the 8x come from

[weak sentinel]

Ok that helps thank you

[naive dew]

So whenever you square a bracket you can't just square the numbers, use the identity

[weak sentinel]

Got it 👍

Now I’m wondering what if it’s cubed? Will it be 3ab

[weak sentinel]

Was that already in your room haha you’re the best

[naive dew]

Yeah I mean they're fundamental but I forget the cubic identities so I pasted them on the wall😭

[muted flax]

Can anyone explain the steps and really break it down? I've asked for help but I've been given two different types of answers that don't seem similar ( ´_ゝ`)

[left knoll]

Try integeral calculator site
Ig it was totally free and it will show u how to solve it step by step

[left knoll]

https://youtu.be/GwMsHxElgak?si=oKFyx91Ddj5tYpfY

[potent oriole]

?

[runic furnace]

Help pls

[runic furnace]

Yoo tysm

[left knoll]

Second one is the answer but how would you solve it?

[naive dew]

Try putting gx in fx, try getting the answer from the options in these type of questions. Just verify the options

[left knoll]

Ooooo okay

Thank you !!

[left knoll]

I don't understand how it's 3

2 units upwards meaning it should be 2 nah?

[left knoll]

Thank you!!

[keen walrus]

can someone explain me how my teacher got these answers for this problem

[weak sentinel]

Help please xx?

[keen walrus]

thank you !!

[naive dew]

y2 - y1 / x2 - x1

6-9/ 3 = -1

[weak sentinel]

When you do that formula can I just pick any two points next to each other?

[naive dew]

No choose the given points
Here x2 = 2 and value at x=2 is 6
x1 is given as -1 and value at x= -1 is 9

[weak sentinel]

Ahh ok

[naive dew]

Avg rate of change consists of slope between x= -1 and x =2 so we choose the final and initial point

[vague wing]

-x - 1 = 0 is this possible?

i dont understand how it becomes zero

will x become - - 1?

then turn to +?

it can't be zero right?

[cursive lark]

x = -1, - (-1) = +1
+1 - 1 = 0

[vague wing]

THANK YOUU

omgg im rightt

it will turn to positive

[cursive lark]

you're welcome haha these types of things can be confusing

[vague wing]

truee :>

[honest sleet]

does anyone have a good book reccomendation for limits practise qs

[left knoll]

What's this supposed to mean?

[honest sleet]

csc means cosec

shorter short form

[left knoll]

Yeah I know that but what is (theta +- π) supposed to mean

What am I solving here

[naive dew]

They are asking if cosec theta + pi is equal to cosec theta or not

Theta - π too

[left knoll]

Ohh okay

Thanks!

[left knoll]

Why is it -3 and not -4 or -2 ?

I think I might be looking at the graph wrong 😭

[left knoll]

Thank youu 🥺

[glossy sentinel]

i need help

help please

[left knoll]

Can someone show me how to solve the negative radians?

[naive dew]

Variance = (standard deviation)^2

[naive dew]

COS and SEC will dissolve the negative sign, for the other 4 just take the negative sign out of the bracket

Cos(-x) = cos(x) but
Sin(-x)= -sin(x)

[wet creek]

cos eats the - but for the rest put - infront of them like -sin(x) = sin(-x)
idk about sec tho :0

[left knoll]

Thanks!

[left knoll]

Thank you :))

[left knoll]

Why and how does it dissolve it tho?

[wet creek]

uhhh idk how to explain but there should be a video about in on yt showing it on the circle by drawings etccc

[left knoll]

Okayy, thank you ❤️

[wet creek]

is okee my teacher showed me in school years ago but im sure u can find smth on yt

or maybe someone will help u here

[left knoll]

Can someone show me how to solve the first two please?

[left knoll]

I would normally construct general formula

2x = theta+360n/ 180-theta +360n

X =theta/2 +180n or 90 - theta/2 +180n

Period is 180

The same for rest of the question

[torn trellis]

y(y')²+2xy'-y=0 can anyone please help me solve this differential equation.

[rancid olive]

Is there a limit or not?
I had this on my quiz and wasn't sure if there was a limit or not.

[chilly sun]

I don’t understand why I got this wrong

[naive dew]

Answer is still 0

[shy rapids]

Because x squares always going g to be larger than 9

9

[naive dew]

But the approach is different

[shy rapids]

Resulting in a negative value in root

Which is not possible

[naive dew]

Yes lim exists and it's equal to 20

[keen walrus]

can someone help me with this?

[naive dew]

a. -1
b. 0

[naive dew]

For 0- use the definition which contains x< 0 that is -1

For 0+ the definition gives value 0

[chilly sun]

How is the answer infinite and not 1 ?

[potent oriole]

1/0

[honest sleet]

yeah bro

[honest sleet]

9 - (3+)^2 -> negative root. so this limit is not defined

[keen walrus]

how to I graph a piecewise function

here’s an example that I have

[tawny python]

Do you still need this?

[chilly sun]

How to sketch this function

[keen walrus]

I do

[keen walrus]

How did you get that?

[potent oriole]

It is a function you graph by parts .

1. for all Xs that are smaller than -2 that means coming from -infinity up to -2(in the Ox axe) f(x) =-3 and you draw y=-3 coming from -inf and you stop at -2.
   You do the same for the other ones

[keen walrus]

can you explain it again?

[glad wagon]

A bit late but I reckon that is the wrong way to think about it, cos eats the negative because it is positive in the 4th quadrant. Just think about the triangle rotating anti clockwise in the unit circle as opposed to clockwise. then calculate the angle as normal. Sorry other way round. Rotating clockwise as opposed to anticlockwise

[keen walrus]

I don’t understand

[glad wagon]

Just sub in the function it lists over the domain of x it lists

for x less then -2 y = -3, from -2 to 0 y = 0 and so on

[left knoll]

Thank you!

[left knoll]

I few questions I have

[glad wagon]

I just recognise the function and apply transformations, but thats one of the things we have to study

what is in the first one sorry?

Q14 its an exponential, that is negative so it is flippd on the x axis. Exponentials assymptote at 1 so it goes from 1 to infinity. However it is translated up 3 so from 3 to infinity

Ahh

With the first and 3rd one they cant be negative so you have to find what the exponential is so that it isnt negative

[naive dew]

@left knoll yo

[left knoll]

First one is an exponential function, the answer is that it's increasing and decreasing on all real numbers, my question is why

[left knoll]

Hey!!

[left knoll]

THANK YOU SO SO SO MUCH

I really appreciate it, you have no idea

[naive dew]

I've been there

[left knoll]

https://tenor.com/view/predator-arnold-schwarzenegger-hand-shake-arms-gif-3468629

[naive dew]

Hell yeah!

[potent oriole]

Combining everything you get this.

[keen walrus]

oohhh

thank you!!

[potent oriole]

No problem sorry for the late response

Help : find a so f would have a limit at -a

[naive dew]

I'm not too sure tho

[potent oriole]

Omg i got the same result but was doubting it thank u so much

[frank dew]

Im so scared of accountancy/ maths like in my mind I have set belief Like i don't get it understood it

I hate it cuz in 2 days I have my acc exam for sure I k I'm going to fail

Is it possible to score passing marks in accountancy

[supple birch]

YES

i mean you can pass.. i replied to the wrong msg 😂
i had accounting course in undergrad.. the maths seemed pretty easy

[cyan needle]

What math is it in accounting for undergrad?

[supple birch]

addition subtraction

[icy horizon]

[next vigil]

Citric acid (right) is con- centrated in citrus fruits and plays a central metabolic role in nearly every animal and plant cell. (a) What are the molar mass and formula of citric acid?

(b) How many moles of citric

acid are in 1.50 qt of lemon juice (d = 1.09g / m * L) that is 6.82% citric acid by mass?

[left knoll]

Why is this neither even nor odd?

Cotx is an odd function right?

[naive dew]

Cotx is odd but for odd functions
F(-x) = -f(x)
Here on putting x = -x
We'll get - cotx - 7 which is a new function in itself

If it were odd it should have been 7 - cotx = f(-x) = -f(x)

[naive dew]

.

[left knoll]

So because there was no negative sign in front of cotx that means it's not odd or even?

[naive dew]

Wait

[left knoll]

Ahhhh okay, thank you :))

[potent oriole]

This case of neither odd nor even is caused sometimes because we have a funtion added to a constant 7 here

[onyx storm]

HELP

EXAM IN 4 HOURS

[frank dew]

ok maths fine but I need to know accountancy 😭 concepts

[frank dew]

Download Microsoft maths

[keen walrus]

Can someone help me with this?

[blissful ridge]

i need to do the derivative of this one and i know i need to use the chain rule and the product rule (sorry translating word by word from german dk the english terms for the rules) but i am stucked idk where to start

[supple birch]

derivative with respect to alpha or beta?

[supple birch]

option c I think

[blissful ridge]

i need to do both but i want to do alpha first and then beta

[supple birch]

if you put a = 0 .. the condition doesn't hold

[blissful ridge]

mm i just dont get where the 2alpha^2 comes from

till here i can follow along

but after it doesnt make sense

for me

aa now it made click

[potent oriole]

Find all natural numbers different from zero so that function has a limit at -inf taht is equal to -inf

[potent oriole]

Help pleas3

[potent oriole]

Thanks a lot! Would u mind giving me some advice to adapt when working with the binomial expansion

[supple birch]

idk 🥲 maybe practice a lot.. you grow intuition after solving a lot of problems

[potent oriole]

😂 thanksss

[undone ledge]

Hi guys I’m so stuck I don’t know how to do this question can someone please help 🙂

[naive dew]

Mean should always be higher than least value of X ( -1) and lower than highest value of X (2)

Option D, 1 is the highest value which is greater than -1 and less than 2

[ember perch]

Could some one help me with ap pre Calc please?

[left knoll]

Could someone show where it's increasing from (0,1)

[naive dew]

But it's decreasing in that interval

[left knoll]

That's what I thought

[weak lotus]

(0,1)?

[left knoll]

Oh

I misread, I meant decreasing, I want to see where it's decreasing

Cause idk where I'm looking on (0,1)

My bad lol

[left knoll]

Like draw a line to the points or something?

[weak lotus]

normally you read from left to right

math does the same

pick a random point on your graph this is your f(x) and you follow the graph, here the black line, and you look at what the x-values i.e. the input does for your output

if this goes up, you can say its increasing
if this goes down, you can say its decreasing

and from the picture you can deduce that there are 2 vertical asymptotes --> x = +- 1
and 1 horizontal one i.e. 1

so around those points for x and y you have to look out for so called "jumps"

which we call discontinuity

[left knoll]

Ooooo

[left knoll]

Alright!! Thank you so much

[keen walrus]

can someone help me with this

[naive dew]

Yo, still need explanation?

[keen walrus]

How can I solve for it using the rate of change formula?

[naive dew]

This is the formula using graphical coordinates

Which one you talking about?

[naive dew]

It's the same

Y = F(x)

So y2 = f(1)

Fx2 - Fx1 / x2 - x1

We just using different alphabets cuz were dealing with x here

[keen walrus]

thank you. 😊

[left knoll]

Maybe

Yes I do

[left knoll]

Thank you so much!

[drifting lantern]

Guys can anyone explain me how to understand Trigonometry

[viral sleet]

Hi can anyone explain this formula and how to use it to me, it's for sample correlation coefficient I've clicked through everything on Aleks about it and im still lost

[mystic thunder]

whatchu don't understand

[left knoll]

How do you solve these?

[left knoll]

Thank you so so much

[mystic thunder]

how

[frozen meadow]

well the first two equations are kinda symmetric or same. but oppsite signs. so its like in opposite direction? the third equation is double of the first two equations (2bx and 2c). so it must be option 1

[mystic thunder]

it's option 4

I got the same

[frozen meadow]

ah my bad

[frozen meadow]

is this jee level

[mystic thunder]

yes

did see a buncha solutions but its all so complicated

[frozen meadow]

u go to dummy school right. pretty sure they will give u correct one

and easy one

i meant easy solution

[mystic thunder]

i do but my teachers horrible

and he gives even more

complex answers LOL

I'll ask him tomorowi

[frozen meadow]

yea good luck

fuck im losing my math skills

[calm quartz]

Anyone has a clue for this?

[weak sentinel]

How did they get -3x ?

[hasty oyster]

if you foil out (x-2) * (x-3) you get x^2-2x-1x+2

@weak sentinel if you simlify this you get x^2-3x+2

[weak sentinel]

Ohhh got it so do you multiple the coefficient with everything after you foil out?

@hasty oyster

[hasty oyster]

yes because of the associative property of multiplication

[weak sentinel]

Thank you

@hasty oyster one more question should I multiple the coefficient first or add the like terms?

Right now I have like terms: 3x and -6x
If I multiple them first then add it’s 9x
But if I add then multiply it would be -9x

[urban merlin]

https://t.me/blum/app?startapp=ref_XnTIXcVQeC

[swift ether]

hi guys, can someone pls help me solve this?

[naive dew]

Always continuous

[ornate iron]

it's coninuous on ]-5 , +inf [

undef before -5

[naive dew]

Range is (0, infinity) gives every value in the range, never breaks

[swift ether]

ohh makes sense

but then how does it meet the other criteria of continuity?

like how can i prove that f(x) = lim x->x f(x)

[naive dew]

You can do that for any x in its domain

You'll always find that it's continuous for every x

Domain is (-5, infinity)

In these type of questions where a specific point isn't given

Avoid the limits method

Look at the bigger picture

Is there any point in its range which is excluded?

Nope

[swift ether]

ohhh

alr alr

[naive dew]

For example

[ornate iron]

you need to tell that f(x) is only composed by continuous functions on ]-5 , +inf[

[swift ether]

i'm just scared to not get the full mark since it's ap and the teacher is so strict

[naive dew]

If the range was (0, infinity) - {2}

Then you could have said

[swift ether]

alrr

[naive dew]

That's it's discontinous on 2

[swift ether]

tysmm

[naive dew]

Hope it helps

[ornate iron]

if you want full grade, decompose the function
x+5 is continuous on R
sqrt (x) is continuous on R+*

x+5 > 0 <=> x > -5

so sqrt (x+5) is continuous on ]-5 , + inf [

and to finish, 1/X is continuous everywhere except where X = 0, but in this case, X = sqrt( x + 5) is never =0 on ]-5 , + inf [

so 1/sqrt(x+5) is continuous on ]-5 , + inf [

[swift ether]

thank you so so much, i really appreciate it!

[swift ether]

tysmm, just one question, if we put -5 and it becomes sqrt-5+5 = sqrt 0 = 0, won't it be undefined?

[naive dew]

Domain is (-5, infinity)

[ornate iron]

it's why it's ]-5 , + inf [ and not [-5 , + inf [

[naive dew]

Can't put -5

[swift ether]

ohhhh -5 isn't counted

tysm i get it now

[naive dew]

Nico your brackets are inverted for me😢

[ornate iron]

huh why ? 😅

[naive dew]

It's showing ]-5, infinity[

Is that a glitch or what

[ornate iron]

no it's right

[swift ether]

sorry could u also pls help me solve this? i'm confused on what to do with the absolute values

[ornate iron]

i mean I learned it that way

[naive dew]

Shouldn't it be[-5, infinity] ?

Ohhhh

Got it

[ornate iron]

no because open bracket means we dont take it

[naive dew]

Oh

We use open brackets here

[ornate iron]

same thing, decompse into little functions and describe explicitly how continuous each functions are

[naive dew]

Always continuous

Wait

[ornate iron]

yes it is

because abs() isn't continuous on 0

but x^{2}-4x+9 never hits 0

[naive dew]

Yeah

It's (1/36 , infinity) I guess

-D/ 4ac

Shit

[ornate iron]

no ,x^{2}-4x+9 is always positive, so |x^{2}-4x+9| = x^{2}-4x+9

and x^{2}-4x+9 is always continuous on R

x^{2}-4x+9 has no real roots

only complexs roots

[naive dew]

Yes

Yep negative D

Btw

[swift ether]

what's D?

[naive dew]

Discriminant

B^2 - 4ac

[swift ether]

ohh

[ornate iron]

to find roots

[swift ether]

but it can't, right? it's abs value

[naive dew]

That old quadratic roots formula

[swift ether]

ohh

[ornate iron]

abs value isn't continuous around 0

but the function inside the abs value never hits 0, we find this by finding roots with discriminant

[naive dew]

The method I learnt is

If g(f(x)) is given

Plot the range of f(x) on the graph of g(x)

Here the range of x^2 -4x +9 is [0.55, infinity]

If we plot that on the graph of |x|

It's always continuous

Cuz it never touches zero as Nico said

[ornate iron]

yeah, this method is very different from what i've learned haha

it works, and that's the most important

[naive dew]

Yes

[naive dew]

It's probably the same essence, the method I learnt depends upon graphs more

[ornate iron]

yeah

[naive dew]

I get your point tho

[ornate iron]

where're you studying ?

usa ?

[naive dew]

India

[ornate iron]

ok ok

[swift ether]

tysm both of uu

[ornate iron]

np dud 😄

[naive dew]

Goodluck bro

[swift ether]

i get what to do now

i just don't know how to write it

im sorry this is annoying ik

[ornate iron]

take it step by step
exactly like previous exercice

[naive dew]

It's alright bro we here

[ornate iron]

decompose function, saying that is compounding a polynomial by the absolute value

describe that abs value isn't continuous around 0

[swift ether]

OH ITS TRUE ITS A polynomial too

polynomial is always continuous

[ornate iron]

then explain that the polynomial is never hitting 0 here ← very important

[swift ether]

ok tysmmm

[ornate iron]

np have fun

[swift ether]

i really appreciate it

[drifting lantern]

hey can anyone explain me the Basic Proportionality Theorm in The Similarities of Triangle

[weak sentinel]

Can anyone help me with (b)? I understand that it’s those two segments that are greater than 0 but I don’t know how to write it like when to use [] or ()

[naive dew]

Yo

[naive dew]

@weak sentinel

[weak sentinel]

Hii

[weak sentinel]

Ok so it was [-5 because it was the end of the segment ? That makes sense

[naive dew]

Yes

And [ bracket cuz we can include -5 cuz it gives y > 0

[weak sentinel]

Yay I got it right thank you

@naive dew

I thought this would be right ..?

[naive dew]

(1,4) on last line

Everything else is correct 😃

4 is excluded cuz f(4) = 0

[left knoll]

How would you graph this function properly

[left knoll]

Ohhh, thank you

[naive dew]

Final graph

[left knoll]

My professor used some sort of triangle to solve this one, answer is the last one but I wanna see how to solve it

I think I'm having trouble with inverses

[naive dew]

I have bad relationship with ITFs, can't help you on those

[weak sentinel]

Ohh got it ty again

[left knoll]

What's itfs

[naive dew]

Inverse trig functions

[left knoll]

Ohhh

I understood it just before you wrote it loool

Alrighty then, thanks for helping anyway :))

[weak sentinel]

Brother what’s your major you’re always so helpful with math 😭

[naive dew]

Not in college yet

[weak sentinel]

Gotcha

I’m just starting school again after a few years so I’m like back to basic 😢

[naive dew]

You'll be a master in no time

[naive dew]

This one is correct tho

[weak sentinel]

🫶

[left knoll]

Yay

I hate inverses

[frozen meadow]

Did someone say inverse trigonometry functions

[left knoll]

How would u solve this

[leaden token]

solve it for y

[left knoll]

Thank you

[spice girder]

Can someone help idk what im doing wrong

Im using laplaces expansion

[winter grail]

i think u got the sign wrong

should be - + - +

[left knoll]

Helb

The math is no longer mathing

These practice tests are killin me

😭

[bronze edge]

uhmm... f^(-1)(f(x)) = x for any function that is invertible... no?

Or that -1 is another thing?

[supple birch]

for one-to-one functions. yes

[bronze edge]

I mean, to have an inverse it has to be bijector, so...

atleast locally

[left knoll]

X is right!

[bronze edge]

This function is bijector in the Domain D = {x in R | x =/= 1 and x >= 2/3}, then you can start talking about an inverse (If you are in math college)
If not, isolate the x and Make a function x(f(x)), that's you inverse

Or Just Go by definition... XP

[left knoll]

Thank you ❤️

[bronze edge]

No problem! Hope It helped ☺️

Just so you know, the definition of an inverse function can be Said as:
f^(-1)(x)°f(x) = f(x)°f^(-1)(x) = x

Like, roughly

[tidal dawn]

anyone know anything on discrete mathematics?

got a test tomorrow and i barely understand it

[spice girder]

No?

It’s +-+-

[bronze edge]

What you mean by discrete?

[winter grail]

really? because (-1)^(1+4) = -1 for first row and 4-th column

[spice girder]

Oh

Thanks

[odd ruin]

express sin(π/6+x) in ascending power of x.by Taylor's theorem. help!!!

[tidal dawn]

taking a course on elementary discrete mathematics

[weak lotus]

the countable mathematics

[hearty sentinel]

if anyone interested in solving function related problems then this website might help them. I made this using js.

https://musfiqur-anik.github.io/Problem-solving-app/

[mystic thunder]

i get the concept but?? answer is not right 😭

r can never be negative

how tf

[mystic thunder]

omg I'm so stupid

i got th answer

[swift ether]

hii, can someone pls help to solve this?

[tender ridge]

hi guys, can someone help me with discreate math question

it's kinda long tho

here is question

i almost finished and confused on last part

basically it's a huge truth table, and only row 6 matters

it's false, an argument is false. I should then prove it with some laws which ended up being false

i don't know if that's it and "Therefore argument is false" or I miss something

[supple birch]

if you differentiate sin or cos 4 times it goes back to the initial function

so, option c

[keen walrus]

Can someone help me with this problem?

[ornate iron]

f'(x) can be considered as the slope of the function curve

so when it's positive it means that the ccurve is increasing

when it's negative the curve is decreasing

and when it's =0 the curve is flat

so identify on your plot, where the function is increasing, and you got the answer

[nocturne pendant]

@remote pendant

[thick copper]

Good day guys. Anyone using Anki or Notion or Remnote for maths and tracking spaced repetition? What works for you? Also what about Computer Science. Thank you for the time.

[leaden token]

Hi guys can someone explain why is the first sum equal to the two others

[left knoll]

I use Anki for language learning and Notion for my notes. I think you should find a method that works best for you when learning computer science. I found that working on projects helps me understand concepts better, even without taking notes

[thick copper]

Thanks will do

[left knoll]

How?

[left knoll]

Easy man,
Logb a - logb c = logb (a/c)
And
Logb b = 1

---

1. Log3 (10/5) equals to log3 2
2. Log3 (2/18) equals to log3 9^-1 or log3 3^-2
3. It would be... -2 x log3 3 or -2

[left knoll]

Thank you

[left knoll]

Thanks !

[graceful harness]

Visiting the farm where several dwarves live, Bob organizes 4 forest trips, each of which is attended by all the dwarves on the farm. Each gnome has a red, a white and a black cone. The dwarves use one of their cones on each trip. After examining the colors of the cones used by the dwarves on the trips, Bob notices that no two dwarves use the same color cone on more than one trip. According to this, what is the maximum total number of dwarfs on the farm?

[nocturne pendant]

logarithms 😵‍💫 i love em

[left knoll]

Nice

[mystic thunder]

but im getting -35 😔

the answer's -70

[supple birch]

(1-x)^2 = (1-2x+x^2)
you missed the -2

[mystic thunder]

oh wot

OMG

WHAT THE FUCK

THANK YOJY

omg ive been sitting w this shit for 2 hours

[potent oriole]

Lay3awnk

[prime aspen]

answer is 27 log (3)

27 log 9 - 9 log27
27 log (3)^2 - 9 log (3)^3

i think its wrong

[vestal path]

who can help me?

pls

(

[vestal path]

pls

e=1

[keen walrus]

Can someone help me with this problem?

[frozen meadow]

I think it's 2nd and 3rd

[supple birch]

2nd and 4th.. Derivative of f positive means f is increasing at those points

[mystic thunder]

did u get it?

[prime aspen]

ohhh

damn girl

slay

ty

[peak palm]

hello, does anyone have any guides or reference pics I could use for trigonometry?

[winged spindle]

hey, does anyone know a good youtube channel for math ?

[vestal path]

Investigate the compatibility of a system of linear equations, and in the case of
compatibility, to find its general solution.

help

x2 = 0

very important work, help please

guys

pls

[wooden elbow]

identity matrix?

[wooden elbow]

make a coefficent matrix with last coloum of the constants then row reduce you will get solutions

dude if u cant just use chat gpt

these are too basic question considering u are undergrad

[graceful harness]

@digital wind

[digital wind]

icl ive been w matrices whole day, rn all i think is to come up w a equation system and do it is the option, idk if im correct

[graceful harness]

answer is 5

but i cant prove it why is 5

thanks

[narrow crater]

Sorry to bother everyone but could someone help me out plz?

[mystic thunder]

how do i solve this without integration? using sigma. ik the term is written like => Σ 2^r+1/r+1 nCr

but how do i simplify dat shi

[wooden elbow]

are terms prior to C multiplied or smth else

((2)^n/n)Csubscript n-1

[mystic thunder]

wot

[mystic thunder]

no that's not it

n is a constant

girl idk man

[wooden elbow]

why

[wooden elbow]

is it constant

n belongs to 1 to 10

then use summation

on that shi

then do integation

or if ya cant do it by just expanding C and plugging in values

[mystic thunder]

No that's r

dang

looks like needa integrate

[glad sedge]

These kinds of questions have like loads of variations for instance multiplying by x^n and differentiating or putting i, cubes roots of unity,nth roots of unity in (1+x)^n to get different variations of binomial coefficient sums

[mystic thunder]

ty but

the thing is

my teacher taught us the other method using summation, so i prefer learning questions w that method since integration and differentiation is not as easy in certain problems

[glad sedge]

Yeah I get it properties of binomial coefficients are much better

Like the r*nCr ones

Using it to simplify the summation

[mystic thunder]

YEA

[glad sedge]

Idk but to me the differentiation/integration method seems more easier when it is hard to simplify

Your case was easy tho

[mystic thunder]

yeahsame

sigma method is kinda weird sometimes

[glad sedge]

Also you can't use nCr simplification if the sums are asked in intervals of 3 or 4

Like nC0+nC3+nC6... Etc kind of ones

[glad sedge]

Are you preparing for jee or smth?

[mystic thunder]

yep

[mystic thunder]

yes

[glad sedge]

Damn

Memories good and bad, but I liked the Binomial theorem chapter

[mystic thunder]

ahaha yeah it's nice

[wooden elbow]

Summation does not give answer it's mere representation u need integration ultimately

[glad sedge]

I think he prefers to use the properties of nCr to break the summation into simpler and more fundamental summation of which direct formulas are known

[fading sonnet]

Guys please i need help with last question to calculate the limit of n^1/n using that inequality.

[left knoll]

@cyan steppe you there?

[cyan steppe]

yeah?

[deep edge]

Does anyone know how to identify if the structure is internally stable or unstable?

Can you help me identify if these structures are internally unstable or not

[chilly sun]

Can somebody show me how to do this

[noble roost]

Who is doing a levels math

Explain this

[potent oriole]

To find a you should solve the equation f(7)=5/2 (replace x by 7 and your unknown becomes a)

[left knoll]

Would f, be equal to 2 or 1

f(5) = 2 right

So f should be equal to 1?

[vast dagger]

is this it?

[left knoll]

Yes :))

[meager warren]

yes

[meager warren]

you mean g(x)?

and for which value does is equal 1?

[vast dagger]

we doin math yay

😂

[meager warren]

yay

i dont understand what she means by f, the function is g and the value is different based on the interval

nvm she means exercise f and my brain is slow lmao

[vast dagger]

yeah it should have said g(x)=1 but yeee

[vast dagger]

i don't think so, there's no exercise f

[left knoll]

.

[left knoll]

Oh yeah I did, I’m used to it being f(x) lol

[vast dagger]

jump to the doc

and confirm

[left knoll]

Hey sorry one second

[celest hatch]

g(5) here is 1

But limit of g(5) is 2

[devout portal]

What wud the pedal equation of
r ( 1 - cos theta ) = 2a be ?

[haughty belfry]

anyone know how this should be solve?

[left knoll]

Anyone good at calculus 4 here

[vast rune]

@naive dew

[left knoll]

Tanx for the heads up