help-0

[glass lichen]

No... cause you move everything to the u world

[rich basin]

so it would be 1/3 * (3x+1)^7?

[glass lichen]

No

dont put words in my mouth, I told you what it would be

[rich basin]

1/3 • ∫u^7 ?

[glass lichen]

missing the differential

[topaz scaffold]

Well he's not wrong if he put a du at the end

Check if a channel is occupied man please

[rich basin]

why what he did is allowed, whcih is similar to what i did to my question

[alpine sable]

how would I put this

into an equation

[woeful pulsar]

yeah so you want to relate the time and height

using an equation

[alpine sable]

uh

ok

[topaz scaffold]

It's just strategically substituting things

To simplify the integral

[woeful pulsar]

not sure where you are stuck, can you show what you understand?

[alpine sable]

so basically

uh

nothing

im confusion

[woeful pulsar]

okay so just before this you probably were taught the equation of a line, right?

[alpine sable]

uh

y=mx+b?

[woeful pulsar]

yeah something like that

so y is the dependent variable and x is the independent variable

[alpine sable]

ok

[woeful pulsar]

equation of a line is used to show relationships where something changes at a constant rate

[alpine sable]

yes

ok

ok yes

uh

can u continue with the

help

[woeful pulsar]

idk where you are stuck, maybe show what you can try from here?

[alpine sable]

UH

I mean

I did the first part

where I express it as a rate of change

I thik its

[woeful pulsar]

yeah okay

[alpine sable]

32 - 4/9-1

[woeful pulsar]

remember your brackets

[alpine sable]

uh ok

so how would u do it as an equation doe

[woeful pulsar]

so you have the equation of a line

that's useful for things changing at a constant rate

identify your variables

[alpine sable]

uh

y is the indepentant variable?

._.

[woeful pulsar]

y is dependent

x is independent

typically y depends on x

[alpine sable]

Yee

ok

so basically

months is the independant variable

and

height is the dependant variable

so how would I put that in y=mx+b formula

uh

u there

[alpine sable]

Hey people! I think I can write my question if the channel is unoccupied, isn't it? Btw, sorry about my english I am Portuguese.

Basically, the exercise is asking for the area of ​​the region defined by the given condition.

[woeful pulsar]

yeah that's one way to put it

you found the rate of change too that's part of the formula

just declare that x is the number of months and y is the height in cm

[woeful pulsar]

hmm maybe sketch it on the complex plane

[alpine sable]

Yh, I did it! I just dont get how I am going to do with the area.

I tried to find the circular sector area, but i cant because i dont have any angle.

[pearl marlin]

Can you make that complex form in cartision form?

[fast musk]

I am stucked in a question on joint distribution. Anyone please help.

May I share?

[alpine sable]

im still stuck

[pearl marlin]

Ok he is using trick

[alpine sable]

Even if I do that, how would that help me?

[pearl marlin]

There is a square in the circle you see

[alpine sable]

Ahhh I see

But I still dont get it 😅

how could that help me?

[pearl marlin]

See total area - sqare area will give you those 4 parts area them he divided them with 4 , you will get area you required

[pearl marlin]

What you have tried?

[alpine sable]

I tried

thatsabout it

I tried

[pearl marlin]

Take dg/dt= constant

Now solve the differential equation

[alpine sable]

uh

what

[pearl marlin]

Rate of growth is conatant so

Take dg/dt= k

Solve it you will get

g=kt+c
Now use the constions to solve k and c
( Here g is growth and t is time c is conStant of integration)

[alpine sable]

uh

[alpine sable]

Omg, I think I got it! Im going to try myself on paper. Thank you!!!

what is dg/dt

uhm

[pearl marlin]

Hmm okk , velocity is rate of change of distance ,and how you write the velocity?

[alpine sable]

bro I dont know why are we doing velocity

im doing rate of change...

[pearl marlin]

Rate of change means d/dt( derivative wrt time)

[alpine sable]

uhm

uh

this is the question

uhhh

[pearl marlin]

Wait for someone will explain in simple language

[alpine sable]

I thought this was slopes

guess im in the wrong unit

[ionic jewel]

it is

your plant goes 4cm in one month right?

so how much does it grow in two months? @alpine sable

[alpine sable]

uh

8cm

[ionic jewel]

yes

so its rate of growth is how many cm per month?

[alpine sable]

4

uh

[ionic jewel]

wait a second

the problem looks wrong

[alpine sable]

uh

[ionic jewel]

because

[alpine sable]

idk man im just confused here

[ionic jewel]

well lets keep going

1 month is 4cm
2mo 8cm
3 - 12
4- 16
5- 20
6- 24
7 - 28
8 - 32
9- 36

[alpine sable]

ye

[ionic jewel]

but the problem says its 32 after 9

[alpine sable]

THIS IS WHY IM CONFUSION

[ionic jewel]

okay well

lets do it the hard way

[alpine sable]

damn

[ionic jewel]

so our assumption was that the plant starts with 0 height

but thats wrong (since it doesnt work out)

[valid yacht]

can someone who is good with statistics help me? i am genuinely about to pass out from panicking.

[ionic jewel]

so do you know how to find the slope of a line given two points?

[alpine sable]

uh

I mean

no

[ionic jewel]

okay

its

$\frac{f(b)-f(a)}{b-a}$, and before you get confused, its the change in the dependent variable divided by the change in the independent variable

[ocean seal]

bunny

[alpine sable]

uhh

[ionic jewel]

in your case, growth is the dependent variable because it depends on time

[alpine sable]

ok

[ionic jewel]

so between 1 and 9 months, whats the change in height?

[alpine sable]

uh

4cm every month?

[ionic jewel]

no

we have determined that doesnt work out

what is the height at one month?

[alpine sable]

4cm

[ionic jewel]

whats the height at 9 months?

[alpine sable]

uh

32

[ionic jewel]

so whats the change between them (the difference/distance)?

[alpine sable]

uhm

uh

uhh

[ionic jewel]

no ideas?

[alpine sable]

no

[ionic jewel]

whats the distance between 1 and 2?

[alpine sable]

uh

wait like

uh

2 is an even number?

uH

[ionic jewel]

[alpine sable]

IDK MAN I DONT LIKE THESE RIDDLES

[ionic jewel]

if i drew a line between them on the number line, how long would it be?

its not supposed to be a riddle, means im doing a bad job showing this

[alpine sable]

either ur bad at teaching or im horrible at learning

or both

[ionic jewel]

fine we can skip the intuition, but the "change" is going to be the higher number minus the lower number

and the height goes from 4 to 32

so whats the change in height?

[alpine sable]

uhm

4cm every month? ._.

[ionic jewel]

you arent reading what i wrote

what is the higher number minus the lower number?

[alpine sable]

28

[ionic jewel]

thank you

[alpine sable]

im evolving

[ionic jewel]

so the change in height is 28 (cm)

[alpine sable]

yes

[ionic jewel]

so now what the change in time between 1 and 9?

[alpine sable]

8

[ionic jewel]

fantastic

[alpine sable]

IM LEARNING

[ionic jewel]

now remember, the slope (which is the growth rate in this question) is the change in height divided by the change in time

so whats the slope?

[alpine sable]

wait

28 divide 8?

[ionic jewel]

yes

[alpine sable]

ok

calculator

give me a sec

3.5

[ionic jewel]

The plant grows 3.5 cm/month

[alpine sable]

you sir are helpful

[ionic jewel]

notice how we did change in height (cm) divided by change in time (months) to get cm/height, which is the units you wanted

[alpine sable]

but how would I write that into an equation

[ionic jewel]

do you know how variables work?

[alpine sable]

ye

wait

y=mx+b

[ionic jewel]

okay, lets define one variable to be height, we will call it h

[alpine sable]

so

des that mean

[ionic jewel]

yes y=mx+b works too

[alpine sable]

3.5=28+8?

[ionic jewel]

so where does the 3.5 fit into here?

[alpine sable]

uh

uhhh

wait I didnt do that right

[ionic jewel]

m = slope
b = y intercept

[alpine sable]

uh

I remember doing this

like

a year ago

[ionic jewel]

do you know the slope?

[alpine sable]

uh

3.5

[ionic jewel]

yes

so we have y = 3.5x+b, but we still need to solve for b

[alpine sable]

uh

oik

[ionic jewel]

we have to use a point to solve for it

your points are (1,4) which is 4 height at one month, and (9,32), which is 32 cm at 9 months

you can use either to solve

pick one and put the x and y into the equation we have

[alpine sable]

yes

ok

uh

[ionic jewel]

Points are in the form (x,y)

[alpine sable]

uh

[ionic jewel]

(x=1, y=4)

[alpine sable]

uh ok

uh

[ionic jewel]

so we have y = 3.5x+b

we need to plug in y and x to solve for b

what are we using for y and x?

[alpine sable]

28 and 8

[ionic jewel]

i mean

[alpine sable]

uh

[ionic jewel]

that works, but its not what i was looking for

[alpine sable]

wait what were u looking for

[ionic jewel]

(x=1, y=4)

[alpine sable]

youre looking for x =1 and y=4

[ionic jewel]

sure am

because at one months, the height is four

[alpine sable]

yes

I am understanding

[ionic jewel]

it just also happens to be true that at four months, the height is 28

but not what i wanted

anyways

we have y = 3.5x+b

can you type it out once you plug in x and y?

[alpine sable]

im still confused

[ionic jewel]

what is y?

[alpine sable]

1

[ionic jewel]

no

try again

[alpine sable]

4

[ionic jewel]

there we go

[alpine sable]

yes

[ionic jewel]

so right now we have:
$$y = 3.5x+b$$
but when you plug in $y=4$, you then have
$$4 = 3.5x+b$$

[ocean seal]

bunny

[ionic jewel]

can you do the same thing for x?

[alpine sable]

uh

so

x=28

[ionic jewel]

no it doesnt

[alpine sable]

so

uh

Idk man im losing braincells

[ionic jewel]

we have been over what x is

[alpine sable]

uh

x is 2

i mean 1

[ionic jewel]

[alpine sable]

ACCIDENT

MISCLICK

[ionic jewel]

okay

so you can do the same thing i did

replace x with 1 in the equation

[alpine sable]

UH

I need more help

[ionic jewel]

no you dont

[alpine sable]

on the help youre giving me

I do

trust me

[ionic jewel]

do you see what I did to set y = 4?

https://media.discordapp.net/attachments/490557019623915520/866525699464232980/153882568322711553.png?width=1920&height=795

[alpine sable]

yeah

[ionic jewel]

what did I do?

[alpine sable]

I have 0 clue

[ionic jewel]

...

then why did you say you did

[alpine sable]

4 months the height is 28cm

so

Wait

thats not right

[ionic jewel]

i cant tell if you are just making things up at this point

[alpine sable]

bro I dont like math

always have problems with the letters in this subject

[ionic jewel]

well stop thinking about plants

we dont need em rn

we are finding the b in this line

https://media.discordapp.net/attachments/490557019623915520/866525699464232980/153882568322711553.png?width=1920&height=795

the first equation has the letter y, correct?

and the second one no longer has a y, correct?

[alpine sable]

yes

[ionic jewel]

so what did the y get replaced with?

[alpine sable]

4

[ionic jewel]

yes

that is because y=4, so y and 4 are the same here

[alpine sable]

yes

[ionic jewel]

do you see what you can do with x here?

[alpine sable]

uh

I dont know if im right on this

but

replace it with 1 🤔

[ionic jewel]

yes

you are

please write the equation with the 1 in it for me

[alpine sable]

4=3.5/1+b

[ionic jewel]

why did you put a division sign?

[alpine sable]

uh

i thought u ned to

[ionic jewel]

you dont

[alpine sable]

oh

uh

ok

[ionic jewel]

when you see two things pushed together like mx

it means multiplication

m times x

[alpine sable]

oh

ok

[ionic jewel]

the symbol for multiplication between numbers is a *

now can you rewrite your equation correctly?

[alpine sable]

4=3.5*1+b

[ionic jewel]

yes

now do you know how to get b by itself?

[alpine sable]

no sir

[ionic jewel]

what is 3.5*1

[alpine sable]

oh

3.5

[ionic jewel]

okay now rewrite it with that simplification please

[alpine sable]

wait so b = 3.5

[ionic jewel]

no

4=3.5*1+b

i was talking about this 3.5*1

[alpine sable]

oooh

4=3.5+b

[ionic jewel]

yes

now you can subtract 3.5 from each side to get b by itself

can you do that?

[alpine sable]

.5=b

[ionic jewel]

yep

now we have y = mx+b, and you know that m = 3.5 and b = 0.5

so whats the final equation?

[alpine sable]

.5=b

is

final

[ionic jewel]

now we have y = mx+b, and you know that m = 3.5 and b = 0.5

b = 0.5 is correct, but its not the full line equation

[alpine sable]

bruh

is that not the same thing

[ionic jewel]

b=0.5 is not a line

y=mx+b is a line

[alpine sable]

._.

[ionic jewel]

you were the one who mentioned y = mx+b right?

[alpine sable]

yes

[ionic jewel]

and we know what b is now right?

whats b?

[alpine sable]

yes

.5

[ionic jewel]

whats m?

(the slope)

[alpine sable]

3.5

[ionic jewel]

yes

now can you plug those into y = mx+b?

like how we did with x and y before

[alpine sable]

yes

[ionic jewel]

and what do you get?

[alpine sable]

uh

wait didnt we just do that

[ionic jewel]

you didnt even know what b was before

now you do

[alpine sable]

uh

ok

[ionic jewel]

i simply dont have any more hints left

y = mx+b

m = 3.5
b = 0.5

you need to put them in

thats it

[alpine sable]

I was just confused because

if I write it like

y=3.5x+.5

is that not

incorrect

[ionic jewel]

it is, in fact, the correct answer

[alpine sable]

how

what'

[ionic jewel]

we spent like the whole time solving for it

[alpine sable]

bro

no

leave

be gone

im tryna learn math here

@ionic jewel

[ionic jewel]

yes

[alpine sable]

continu

[ionic jewel]

you were saying what?

[alpine sable]

no distrection

[ionic jewel]

i was saying it was right

what it means

[alpine sable]

just confused because if I write it like tat

isnt it wrong?

[ionic jewel]

is that the plant grows at 3.5 cm per month, and it started at 0.5 cm

thats what the m and b mean

[ionic jewel]

why do you think its wrong?

[alpine sable]

but the way u write it

y=3.5x+.5

isnt it written

incorrectly

[ionic jewel]

in what way?

[alpine sable]

uh

im just not going to question your ways

continue

[ionic jewel]

theres nothing else

[alpine sable]

oh

ok

wait

then im done

[ionic jewel]

for the record, if you come back for help

1. if you dont know something, just say that, dont say you know and not know
2. feel free to try even if you are wrong, people can correct you

somewhat frustrating because of those

[alpine sable]

I always askq uestions in class

and look like an idiot

one time I asked what the opposite of square root is...

._.

[ionic jewel]

oh well

asking question is how you learn

[alpine sable]

I got like a 55 in math

so I decided to do summeer schol

ok

fr

im tired

also

Keep grinding

Don’t give up

[alpine sable]

😈

ok

goodnight

[ionic jewel]

post a plaintext or latex of your question

[alpine sable]

U have to send the problem so the helpers can help lol

[alpine sable]

also accept my friend request please

https://gyazo.com/e2048f4392c87d072d30581397aed3da

[ionic jewel]

sorry, not accepting friend requests

[alpine sable]

NOOOOOOOOO

U were like the only helpful person

[tough hatch]

[alpine sable]

I had 94 strokes reading this

14

[ionic jewel]

you know you arent a very good troll

[alpine sable]

LOOOOOOOOOOOOOO

[alpine sable]

@ionic jewel

[ionic jewel]

he likes 6/15 of the activies and 2/3 teams

the chance of both is multiplication

P(A intersect B) = P(A)P(B) // given they are independent

6/15*2/3

[alpine sable]

12/45

[ionic jewel]

simplify it

[alpine sable]

4/15

alr ty

[grim shadow]

what r yall discussing???

ok so a troll

[tall wing]

yes, you

quit trolling

ok

you have no good history here

goodbye

kicked

wait i guess not

what

i just did

why is it not working

[tame falcon]

Gottem

[grim shadow]

is there a MATH question u guys r discussing?????

mb i can help

guys???

[harsh salmon]

Hi how do you do question d)? Answer book says 0.02950 but idk how they got that? It might use combination math. thank u!

(The total number of students is 569)

[rich basin]

so imade this into sinx(1-cosx)^-1

i made u = 1-cosx

and what i got finally is du(u)^-1

But i don't know how to change this back

[topaz scaffold]

Integrate first

Then change it back

[pearl marlin]

use f'(x)/f(X) integraion

[vale wigeon]

int du/u is one of the easiest integrals to solve if you know a thing or two about logarithms

[rich basin]

@vale wigeon I know about natural logs, how would we change this into natural logs?

[vale wigeon]

my friend

literally

$\int \frac{\dd{u}}{u} = \log |u| + C$

[ocean seal]

Ann

[rich basin]

oh yes, that is what the differention of log looks like

[tough hatch]

just remember your substitution

[rich basin]

what about for this one?

wouldn't this be 1/ log(cos) + C

if you were to make u = cos

wait nevermind

[grim shadow]

what??

[rich basin]

you suppose to make u be sinx

and the when you find du/dx it would be = cosx

i was thinking of the antiderivative

[tough hatch]

same principle.

[rich basin]

what happens if you get something like u * du

[tough hatch]

oh right

[rich basin]

@tough hatch what happens if i have u *du

if u = 2x^2 + 4

wouldn't i just make it 1/u * du

[topaz scaffold]

Where did the 4 come from?

[rich basin]

just a made up

[topaz scaffold]

Oh

[rich basin]

would i just make it 1/u

[tough hatch]

actually

ur u-sub is good

[rich basin]

which would just be 1/2x^2 +4

[tough hatch]

but

[tough hatch]

no

[topaz scaffold]

Differentiate u dude

[rich basin]

yeah and then du/dx would be 4x

[tough hatch]

this would be the case if u=cos x

[rich basin]

and then du = 4x where the dx is cancel out

[topaz scaffold]

du = 4x dx

[rich basin]

so it would be like 4x/ log(1 / (2x^2 +4) )

[topaz scaffold]

I'm lost

What are you even subbing here?

[rich basin]

so there is u * du

[tough hatch]

i assume this is different from the (cos x)/(sin x) integrand

[rich basin]

and i want to make it like du/ u

yeah they are differnet

[tough hatch]

can you just tell us the actual integral

[topaz scaffold]

You want to make u du into du /u?

[tough hatch]

not possible

[topaz scaffold]

But why

[topaz scaffold]

Yes, and also why

∫u du is simple enough

[tough hatch]

there's no point in "converting"

[tough hatch]

it's possible to convert udu to du/u?

[topaz scaffold]

I'm agreeing that it's not possible 😅

[rich basin]

lets just make it this one

[topaz scaffold]

Probably use by parts

[grim shadow]

ez

[strong furnace]

||easiest way of integration , look at the answer and u-sub the answer 😉||

[topaz scaffold]

Let u be the entire integral

[grim shadow]

wow but you'll be in a pinch if its subjective test

[strong furnace]

I never said u-sub the options

[grim shadow]

ohhh then ur ans is legendary

[topaz scaffold]

Don't worry, multiple choice questions are easy

[somber folio]

hello

[topaz scaffold]

Just add in: e. one of the above

[somber folio]

is anyone free?

[grim shadow]

nope

[somber folio]

if not I can wait

[velvet condor]

is this channel in use

[fringe yoke]

[topaz scaffold]

It was for a joke...

[topaz scaffold]

^^

...

[grim shadow]

ikr

[velvet condor]

so thats a no?

[grim shadow]

ask

[velvet condor]

prove that
$\sum_{cyc}{\sqrt{\frac{a}{b+c}+\frac{b}{c+a}}}\ge 3 ~\forall a,b,c>0$

[ocean seal]

Minh Baka

[somber folio]

oh my

[grim shadow]

theres some inequality of which i forgot the name

[velvet condor]

u mean am-gm?

[grim shadow]

nope

[velvet condor]

bunyakovsky?

jensen?

holder?

[grim shadow]

wait

[grim shadow]

sorry bro didnt got anything, im pretty bad at these inequality

[somber folio]

hey man you good at probabilities? @grim shadow

[grim shadow]

i'll try

[somber folio]

alrighty so

let's say I have 10 objects

and the one I want has a 4.7% chance of acquiring it

if that's done 20 times

what's the likelihood of getting that one object

after 20 attempts

I hope that makes sense

[grim shadow]

so u want that obj at the 20th attempt??

[somber folio]

At least once

yeah

not just the 20th attempt

hopefully it makes more sense now

[grim shadow]

okay so, probability= 1- (not getting obj in all 20 attempts)

[somber folio]

mhm

[grim shadow]

so, its 1-(95.3/100)^20

[somber folio]

oh

mfw binomial

I am stupid

ty

[grim shadow]

np

[alpine sable]

hey i'm having a bit of of trouble solving this system of linear equations here

im not exactly sure if its solvable or if there are infinite solutions or what

[novel siren]

you have a system of 2 equations with 3 unknowns so there are infinite solutions

z isn't 1

[alpine sable]

how exactly would i express that for x and y here? Sorry if it's an asinine question im really tired and i want to go to bed

[novel siren]

this was fine for x and y

just replace z with t

x = 5 - t
y = 1 - t
z = t

[tired hamlet]

How would I set up this problem?

[rigid smelt]

what have you tried?

[tough hatch]

simply isolate y on one side

[topaz scaffold]

Hey hey hey that kinda looks like a canvas quiz

[brave cairn]

is this false?

[alpine sable]

yes, that's false.

[tired hamlet]

It’s not, just practice problems

[brave cairn]

because the first log is multiplied by 3 right

[topaz scaffold]

Good good

[topaz scaffold]

Yep

It should be $log_a(b^3c)$

[ocean seal]

RipeOrange

[alpine sable]

well, yeah, what would instead be true is that $\3\log_a(b)+{\color{green}{3}}\log_a(c)=3\log_a(bc)$.

[ocean seal]

Al𝟛dium

[brave cairn]

ah

[alpine sable]

since you can factor out a 3, and apply the log property correctly: $$3(\overbrace{\log_a(b)+\log_a(c)}^{\log(x)+\log(y)=\log(xy)})$$ $$3\log_a(ab)$$

[ocean seal]

Al𝟛dium

[alpine sable]

does this make sense?

[brave cairn]

yeah

thanks

[alpine sable]

yw

[tired hamlet]

Is this right?

[topaz scaffold]

Yes

[smoky harness]

1 -454 85767 -8629870 487791388 -14685529320 183977791200

[tired hamlet]

How would I simplify it?

[bold mist]

First multiply!

mmmmmmmultiply

Or not. Multiplying first is probably a bad idea.

But you could. I would.

Is this helping?

[tired hamlet]

I got this but don’t know where to go from here

[bold mist]

Good, good

Now those 12s look suspicious to me.

[pearl marlin]

where that 12 from deno in right side?

[bold mist]

And that 36, frankly.

[tired hamlet]

?

[pearl marlin]

that 12 from denominator $\frac{12.(y-1)}{12}$

[bold mist]

Oh right, the guy that said you were correct

Was lying

I should have checked haha

This learn4math fellow seems to know what he's talking about

[ocean seal]

learn4math

[dry thunder]

its 12y-12/12

idk what exactly ur asking for

but ye

[pearl marlin]

just cancle the 12 out , otherwise it will be complicated

[bold mist]

Seems like (12y-12)/12 could be made simpler

Lots of 12s

[dry thunder]

yep

yes you can cancel the 12

it is an expression

nothing really to solve only simplification required

[grim shadow]

??

[teal epoch]

Quick Question: What's the difference between $\pm$ and $\mp$? What are their uses?

[alpine sable]

sorry

[ocean seal]

Nonexisty

[rigid smelt]

need more context

[pearl marlin]

https://en.wikipedia.org/wiki/Plus–minus_sign#:~:text=Usage-,In mathematics,two values or two equations.

[tough hatch]

,, a\pm b = -(a\mp b)

[alpine sable]

If it stands alone i'm pretty sure they mean the same thing

[ocean seal]

Nonexisty

Nonexisty

[grim shadow]

yep

[tough hatch]

if they are not used in the same sentence, probably

[alpine sable]

yeah thats what i mean't by stand alone

guys how to do b2

[tough hatch]

b2?

not a2?

[alpine sable]

ya a sry

?

[tough hatch]

the third bullet refers to $P((G\cup D)')$

[alpine sable]

tq

[tough hatch]

do u see where to put the four people in this category?

on the Venn diagram?

[alpine sable]

ye outside right?

[tough hatch]

so yes

[tough hatch]

oops, mb

mistakenly thought of this as probability

[tough hatch]

and this is just $(G\cup D)'$

[tough hatch]

moreover G=28 and D=13

do u now know what to do with these @alpine sable?

[alpine sable]

yup

[thorn kindle]

Get GUD

[exotic marten]

catus

amogus

[lapis panther]

Rational numbers are commutative for___________

can somone tell

[tough hatch]

that sounds so wrong

[pearl marlin]

not geting the question but , rational numbers are commutative under + and multiply

[ionic jewel]

it was answered in another channel

i doubt he knows what commutative means

[tough hatch]

still sounds wrong

if its a question they're answering the question is worded wrong

[alpine sable]

Guys so I want to buy either maple or mathematica's license, but all I want to do using it is animations in mathematics like this one can anyone help me which of maple and mathematica lets user to make animations like this one or if you guys know any other software then please tell me
I want to make something like this
https://images-ext-1.discordapp.net/external/H_muHAKnvlJBJirXTktVUJLTNo4X_OM8eLrYe9Fp7gs/https/upload.wikimedia.org/wikipedia/commons/4/42/Line_integral_of_scalar_field.gif

[pearl marlin]

Make it like 3/4(2x+7)^(-9) now solve

[ionic jewel]

I'm not sure either tool can do that, I'm willing to bet that was hand animated

[alpine sable]

:((

[ionic jewel]

maybe look into the python library 3b1b made

he does math animations

[strong furnace]

You can ask in one of the channels dedicated for software or discussion will probably be of more help

[alpine sable]

where are they?

oh gotcha

thanks

#computing-software

[quaint pond]

hey guys so I have problem understanding something

basically if we have the word error and if we wanted to find all the different ways we can order the letters

We would do 7!/3! because there are 3 ways the 3 r's can be arranged

I know its so but i dont get why

like i know it works but just dont understand why doesn't it work if we were to subtract them

why divide?

[ionic jewel]

subtracting makes no sense

also isn't it 5!/3!

it's dividing because for each of the 5! permutations, there's 3! ways to do the r's

[quaint pond]

Yeah sorry

I can't count

[gritty cave]

could someone explain where the -3x^2 + bx^2 came from

[minor heath]

only way you can get terms with x^2 in it are -3(x^2) and bx(x) from the rhs

hence the equation -3x^2+bx^2=-7x^2 (the only term with x^2 in the lhs)

[gritty cave]

thank you

[minor heath]

no worries

[lost cairn]

After a decrease of 35%, a number becomes 700. Find the original number.

[alpine sable]

is it free now

?

[hasty nacelle]

@alpine sable what is free?

[alpine sable]

i mean no one is clearing there confusion here right now? right

[jagged imp]

channel does seem free

the other person(fear) posted in like 3 channels

so they have plenty for themself

[alpine sable]

i have a little confusion i wanna clear

[grim shadow]

tell

[alpine sable]

when we do subtraction on algebraic expressions why we have to specially put subtraction sign?
and not with when we do addition?

kinda confuse in this concept rn even if its basic

[alpine sable]

,rotate

[grim shadow]

ok so the thing is plus sign doesn't change much

even if we dont put it wont change anything

while minus means sign revelsal

*reversal

[alpine sable]

okay if we put the addition sign same like how we do on subtraction it will give same answers right

cause i never did that way

[grim shadow]

yep but we are just too lazy to do that

algebra will never fail u if u go according to the rules

[alpine sable]

yay thanks for making it a clear to me

[grim shadow]

np

[proud sentinel]

Negation of the statement "There are integers a and b such that every composite number is divisible by either a or b" is: ∀ a,b ∈ Z, ∃ n ∈ C, ¬ a|n ∧ ¬ b|n

can anyone help me with this question

that is it true or false

[grim shadow]

so u want the negation of this statement

[proud sentinel]

actually this is the whole question
and it was asked that is it true or false

the answer is true, but I cant exactly understand how is it happening

[grim shadow]

bro i dont know what those notations mean

[proud sentinel]

its a question from proposition logic

a|n means a divides n

[grim shadow]

and that reverse capital E

[proud sentinel]

it stands for "there exists a"

I think you are not aware of this topic, no worries

[grim shadow]

i am actually but we dont use these symbols in my country

[proud sentinel]

Actually I am also reading a book from foriegn autthor

and I myself get afraid of these symbols

😆

[grim shadow]

xd

well i understood the question

look

[proud sentinel]

okay, so let me simplify the question for you,

Find Negation of the statement "There are integers a and b such that every composite number is divisible by either a or b".

[jagged imp]

this looks good to me

[proud sentinel]

😉

[grim shadow]

it says a and b are integers, there exits n belonging to composite no., such that a divides n and b divides n.

[proud sentinel]

ya ya, that much is clear

[grim shadow]

ya its the negation of the statement

[proud sentinel]

but I am not sure of how to represent its negation

in symbols

[grim shadow]

well representing the 'and' sign, its true when bot inputs are true

[jagged imp]

you can use $\nmid$ to make "does not divide" look a little simpler ig

[ocean seal]

Sneaky

[grim shadow]

but in the given statement its given 'either or'

so they cant divide both divide n at the same time

[proud sentinel]

thats right, but I think I should prefer using that ¬ symbol otherwise my professor will deduct marks

[proud sentinel]

oh 🤔

[grim shadow]

wait

i messed up

[smoky harness]

hey can i ake this channel

take

[grim shadow]

last statement cant be true unless both a and b divide n

which is a contradiction to statement (given), since only one of them can divide n

either a or b

[proud sentinel]

So as far I am clear in given statement, it says either divisible by a or b

so in negation it will be that neither by a not by b

right?

[jagged imp]

yes

[placid trellis]

i need help

with math

[grim shadow]

wait thats true but in negation given, for it to be true both a and b should divide n

[jagged imp]

its one of demorgan's laws. $\neg(P \lor Q)= \neg P \land \neg Q$

[grim shadow]

now even im confused

[ocean seal]

Sneaky

[grim shadow]

yep

[proud sentinel]

why both a and b should device n,
actually it is given that either of them divide

[grim shadow]

thats why its negation

[proud sentinel]

woah, I just figured out it 😆

[grim shadow]

got it??

[proud sentinel]

okay, thats now clear I think

there was one more

which is really headache

∀x : x^2 > 2

its negation

I am not sure why is it wrong

[grim shadow]

yep it can be equal too

negation of 'greater' is 'lesser or equal'

[proud sentinel]

so means we can not write NOT(x^2>2)

[grim shadow]

like negation of positive is non-negative

[grim shadow]

nope x=sqrt(2) will also come

[proud sentinel]

I am a little bit confused,
can you tell me how the correct statement looks like

to get an idea

[grim shadow]

wait

[woeful pulsar]

the negation of the statement "for all t, t<1" is?

[proud sentinel]

(x^2<2) OR (x^2=2)

it it that?

[grim shadow]

t>1 or t=1

[woeful pulsar]

hmm wait a minute doesn't for all need to become there exists?

[proud sentinel]

is it right?

[grim shadow]

yep def

[woeful pulsar]

i don't think that's right

because there's a "for all"

you need to change it to "there exists"

that's the other issue with that statement

[grim shadow]

oh did not see that

[proud sentinel]

but here I am a bit confused,
why (x^2<2) OR (x^2=2) is different from NOT(x^2>2)?

[jagged imp]

its not

[grim shadow]

coz not is a negation

[jagged imp]

the statement in the question isnt x^2>2

[woeful pulsar]

yeah so the problem is not that less or equal thing

[jagged imp]

the statement has the universal quantifier in it'

[woeful pulsar]

the problem is that it forgot to convert to there exists

[jagged imp]

you've kinda ignored it

[proud sentinel]

ohh!!

I think I missed studying this topic

😭

[grim shadow]

wait wait

not converts positive to negative right??

[proud sentinel]

I think that's right 🤔

[grim shadow]

ya if its that then its not right

[proud sentinel]

okayy

[grim shadow]

coz the actual negation of positve is non-positive

[proud sentinel]

I think I should whole propostion logic again, more carefully

[jagged imp]

i know this and i have no idea what weeb is talking about if it helps. You had done the first problem with divisibility pretty well so it doesnt seem like you were lacking knowledge there

Like me and element said, this problem just seems like you didn't register the for all symbol when you were negating

[grim shadow]

i myself am confused

i dont know the symbols

[proud sentinel]

#chill message

this seems true

XD

[grim shadow]

ya but the thing that element118 dude said is correct

negation of for all is there exists

[proud sentinel]

okayy, got that

[proud sentinel]

because if something is true for all, and we just come and say that (there Exists) it is not true for one case, it means its false

I think it like that

[grim shadow]

yep true

i was thinkin wrong, actually we do not use NOT in my country

so mb i didnt get the question

[proud sentinel]

not is just the negation I think

or many write it as x' , NOT(x) , ~x , etc

[grim shadow]

well if NOT(x)=-x then what i was sayin is correct....

[proud sentinel]

oh, I think you are confused with these symbols 😅

[grim shadow]

ya coz we dont use that here lol

[proud sentinel]

all it is the game of symbols

XD

[proud sentinel]

I often read different authors, and get confused by the different terminologies they use

[grim shadow]

yep symbols are confusing

ohhhhhhhhh

[proud sentinel]

there are 5 books in one semester, for one subject

[grim shadow]

damnnnnnnnn

[proud sentinel]

so definitely, everyone has diffennt terms

for their writing

[grim shadow]

ur in college???

[proud sentinel]

yup

[grim shadow]

oh wow im in HS

[proud sentinel]

thats why studying maths

[proud sentinel]

cool XD

this is my first semster

[grim shadow]

ohh so ur like 4-5 ahead of me coz im also about to go to college

[smoky harness]

1 -454 85767 -8629870 487791388 -14685529320 183977791200
(transcript)
Hints from creator:
"you see the one at the beginning?"
"it's in it's normal form"

[grim shadow]

damn

chiil bro

[smoky harness]

Cryptograph, anyone got an idea?

[grim shadow]

nope

[smoky harness]

in its first form

[proud sentinel]

I love cryptohtaphy, but this seems much advanded

I am just doing it

beginner

[smoky harness]

its question 278/300

after maths IV

in our challenge

[proud sentinel]

what is maths IV

[smoky harness]

idk it has physsics

[proud sentinel]

😅

I have probability and Discrete in college

I am computer science student

[smoky harness]

Wow

[proud sentinel]

this semster

Next year there will be differential equations

I am afraid beacuse I have forgotten it all

from my school time

[alpine sable]

anyone able to explain this to me? i am doing the dervative and im just getting x^-1/2

[rigid smelt]

can you show your work?

[tough hatch]

they used the power rule

and the derivative of 3x/2 cancelled out with the original exponent

@alpine sable

[alpine sable]

That's what I've tried so far essentially

[rigid smelt]

your work hardly makes any sense

[tough hatch]

nope

derivative of 3x/2 is not 3x/2

where did the exponent go???

[alpine sable]

you know im asking a question because i dont understand what im doing. so its no big suprise my work doesnt make any sense

i took the 2/3 that is the exponet and i multiplied it by 3/2x

[alpine sable]

yes i got the negative 1/3

[tough hatch]

and n=2/3

after that multiply to it the derivative of 3x/2

[tough hatch]

for any constant a

do u follow @alpine sable

[alpine sable]

yes since x is 3x/2 you multiply it by 2/3 since thats the exponenet or n

its no different than getting the dervative of 2x^2 which is 4x?

or am i missing something?

[tough hatch]

no u don't multiply 3x/2 by 2/3

3x/2 is not the derivative of 3x/2

3x/2 = (3/2)x

[alpine sable]

well the derv of (3/2)x is just 3/2

[tough hatch]

wat

[tough hatch]

multiply that

to

the "outer" derivative of ((3/2)x)^(2/3)

[alpine sable]

thats the -1/3 right?

[tough hatch]

yep

[alpine sable]

why dont you multiply the exponent by the fraction)

you do it with 2x^2

but not with this, this makes no sense to me

[alpine sable]

thats what i did, and i got 6/6

ah i see im dumb

i need to multiply out by x as well

you can write that as (2/3((2/3)*x) so it is 1 * (3/2)*x

[tough hatch]

yep, with the appropriate exponent.

[alpine sable]

yeah im stupid. i was doing the calculus rightbut screwing up the algebra

typical of me! thanks!

[harsh swallow]

Hi

If i pick a number between 0 and 1

say 31/985

the amount of numbers between 0 and it is the same as the amount of numbers between it and 1, right?

is that correct?