#help-39

1 messages · Page 3 of 1

vital estuary
#

Usub is for chain rule, integration by parts is for products

azure pulsar
#

ooh okay thank you

#

.close

pearl pondBOT
#
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pearl pondBOT
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quartz ermine
pearl pondBOT
quartz ermine
#

How do i do 6D

#

I know it’s the perpendicular distance between the two lines but how do I work that out

pearl pondBOT
#

@quartz ermine Has your question been resolved?

quartz ermine
#

<@&286206848099549185>

pearl pondBOT
#

@quartz ermine Has your question been resolved?

pearl pondBOT
#

@quartz ermine Has your question been resolved?

plush bramble
pearl pondBOT
#

@quartz ermine Has your question been resolved?

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pearl pondBOT
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woven night
pearl pondBOT
woven night
#

hey i need help with 2.6

#

im not sure where to start with proving this

#

/disproving it

#

wait

#

i think i have an idea

#

If you let
A= (1 0)
(0 1)
B = (0 1)
(1 0)

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A+B = ( 1 1 )
( 1 1)

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determinant of A is 1 and

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for B

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its -1

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but the determinant for A+B = 0

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so its not invertible for all cases

pearl pondBOT
#

@woven night Has your question been resolved?

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wintry musk
#

i need someone to answer my math pronlems, im running out of time and im struggling

bold ledge
wintry musk
#

what are the two points i can use

bold ledge
#

well you want to make your life easy

#

so try x=0

wintry musk
#

is that the answer

bold ledge
#

lmao no

wintry musk
#

bro

bold ledge
#

just look at the line

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what happens at x=0 on the line

green verge
#

what is the y intercept

#

thats your b for the equation y=mx+b

bold ledge
#

that's what i'm asking you

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y-intercept happens at x=0

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what is the value of the graph when x=0

wintry musk
#

how is this wrong

green verge
#

slope is not positive

#

and ur off on the slope

wintry musk
#

i did what u said and its still not right

hard creek
#

Recall the equation y-y1=m(x-x1), that is, where m is the slope, and (y1,x1) is some point on the line

pearl pondBOT
#

@wintry musk Has your question been resolved?

pearl pondBOT
#

@wintry musk Has your question been resolved?

pearl pondBOT
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unique swan
pearl pondBOT
patent yew
#

what is your question?

unique swan
grim patrol
#

do uk how to multiply fractions

unique swan
grim patrol
#

i think what uve to do is do that

unique swan
#

But idk how to make them into a mixed fraction

grim patrol
#

step by step

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hm so which part are u at

#

this?

unique swan
#

Yeah

grim patrol
#

ok so

unique swan
#

I’m having a hard time w it

grim patrol
#

for this u just

unique swan
#

Wait no

grim patrol
#

divide n get the

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quotient n remainder

unique swan
#

The whole thing honestly

grim patrol
#

hm?

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ok so

#

start with normal multiplication

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for some

patent yew
#

oops

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wrong

#
grim patrol
#

$\frac{a}{b} * \frac{c}{d} = \frac{ac}{bc}$

jolly parrotBOT
grim patrol
#

LOL

patent yew
#

we dont talk abt that NervousSweat

grim patrol
#

ok yea u can just use khan

patent yew
#

i'd say use khan academy

grim patrol
unique swan
#

Ha

patent yew
#

to learn how to do all the problems

#

not just one

grim patrol
#

or music vids work too

patent yew
#

ado is a great music artist and u can;t change my mind

grim patrol
#

OMG

unique swan
#

I don’t rlly understand this

grim patrol
#

KHAN HAS JORDANS LEMMA

unique swan
#

😭

grim patrol
#

i shlda checked

grim patrol
grim patrol
patent yew
#

it was just music

unique swan
#

Yh

patent yew
#

in like the first 30 seconds

#

it explains how to multiply fractions

grim patrol
#

mhm

patent yew
#

Big hint

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look at what the example did

grim patrol
#

huge

unique swan
#

10/18??

grim patrol
#

ye

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but

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fill in ur blanks

patent yew
#

like ru sure u watched the video

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fully?

grim patrol
#

its

#

a long vid dude

patent yew
grim patrol
pearl pondBOT
#

@unique swan Has your question been resolved?

pearl pondBOT
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dire kestrel
#

Hey hi there everyone. I've a question about discrete maths proofing.

Given that i have this following statement here.
p∧¬q

If i applied rules of interference for simplification, would i get
¬p /¬q
Or would i get
p/¬q

pearl pondBOT
#

@dire kestrel Has your question been resolved?

dire kestrel
#

<@&286206848099549185> Able to help out 😦

pearl pondBOT
#

@dire kestrel Has your question been resolved?

dire kestrel
#

Should be p i guess

#

.close

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faint onyx
#

@rustic gate hello

pearl pondBOT
#

Please don't occupy multiple help channels.

faint onyx
#

.close

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rocky jewel
#

how do i prove the solution of that DE is this ( upper one is the DE nd lower one is its solution )
DE means differential equation

rocky jewel
#

pls ping while answering

#

<@&286206848099549185>

midnight haven
#

@rocky jewel

rocky jewel
#

yes

rocky jewel
midnight haven
#

make the question clearer pls

rocky jewel
slate thicket
#

hmm 🤔

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@rocky jewel did you look up something like proof of integrating factor os something?

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let me know if you don’t get it somewhere ig

pearl pondBOT
#

@rocky jewel Has your question been resolved?

rocky jewel
#

ill try wait

#

.close

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slate thicket
rocky jewel
#

yes

#

thx

slate thicket
#

np

pearl pondBOT
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floral spindle
#

good evening, how might I solve this?

pearl pondBOT
slate thicket
floral spindle
slate thicket
#

hmm can you identify 2 points which lies on the line

floral spindle
#

(-4, -4) and (1, 4)

slate thicket
#

perfect

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so the slope of the line m is given by $m= \frac{y_2 - y_1}{x_2 -x_1}$

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hmm 🤔

patent yew
#

ah yes

#

latex

jolly parrotBOT
slate thicket
#

$m= \frac{y_2 - y_1}{x_2 -x_1}$

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oh okay

patent yew
#

why si it red

jolly parrotBOT
patent yew
#

why is purple

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and cropped terribly

slate thicket
#

,tex magic

rustic gate
#

because deep is unique KEK

jolly parrotBOT
floral spindle
#

but I tried calculating it by doing delta y / delta x and that gave me 1.5

#

and that was wrong

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why is that

slate thicket
#

how you get 1.5

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,calc 8/5

jolly parrotBOT
#

Result:

1.6
slate thicket
#

hmm 🤔

#

so

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(4-(-4))/(1-(-4))

floral spindle
#

3/2

slate thicket
#

hmm 🤔

floral spindle
slate thicket
#

eh

#

?

rustic gate
floral spindle
#

for every change in x y changes 1.5

slate thicket
#

is that exactly on (-2,-1)?

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it is close

rustic gate
slate thicket
#

but not quite there

rustic gate
#

enhanced

floral spindle
#

oh

#

so the problem is my eyesight

slate thicket
rustic gate
#

"get better eyes" - deep

slate thicket
patent yew
slate thicket
#

yo lurker

rustic gate
#

caught in 3D

slate thicket
#

anyways if you done then probably close?

floral spindle
#

so the method for this is to just find 2 points in the plot and then do x2 - x1, y2 - y1 the divide

slate thicket
#

yes

floral spindle
#

alright, thanks for the help

#

much appreciated

slate thicket
#

np SCgoodjob2

floral spindle
#

.close

pearl pondBOT
#
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orchid heath
#

if I wanted to find the domain of this equation could I factor the denominator

#

\frac{x^2+x}{:x^2+4+3}

valid cloak
#

tan$^{-1}(a)$ is the same as (tan$(a))^{-1}$

orchid heath
#

Sorry my bad I thought the command thing would make it look different the problem looks like this

jolly parrotBOT
grim patrol
#

this is more like

#

arctan

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and cot

#

so no, they r diff

valid cloak
grim patrol
rustic gate
pearl pondBOT
#

@midnight haven Has your question been resolved?

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keen marten
#

I dont understand how to do this or the relevance of orthogonality

unkempt cedar
#

If they're orthogonal, their dot product is 0. So (2u + 2w)w = (2uw + 2ww) = (0 + 2|w|^2) = 8

keen marten
#

oooooh ok

#

thanks for your help

unkempt cedar
#

np

pearl pondBOT
#

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shrewd basin
#

How do you do this? I thought mv^2/r = Bqv would do the job but it’s wrong

old marsh
#

Does Fg matter

#

Cuz the mass is significantly bigger than an electrons

shrewd basin
#

What’s Fg?

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Weight?

old marsh
#

Yes

shrewd basin
#

So the centipretal force is magnetic field force + weight?

old marsh
#

Idk, I’m just hypothesizing

shrewd basin
#

Okay lemme try this

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But how will I figure out the speed chase now I have this

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mg+Bqv=mv^2/r

grave thistle
#

all is given

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except v

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solve for v

shrewd basin
#

Oh right

old marsh
#

@grave thistle weight would matter here right?

grave thistle
#

idk xd

old marsh
#

Also @shrewd basin I’m not entirely sure abt this, but wouldn’t it be Fb-Fg instead of +

#

These ppl might be able to help a lil more

shrewd basin
#

Okay thanks I still got the wrong answer lol maybe it’s -

#

.close

pearl pondBOT
#
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mortal mica
pearl pondBOT
mortal mica
#

isn't b) just wrong???

#

oh nevermind it is and the question asked whether they are true or false

#

.close

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mortal mica
#

so weird how you answer most your questions when you ask someone

pearl pondBOT
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wanton dawn
#

I need some help pls

pearl pondBOT
wanton dawn
#

I need help

pearl pondBOT
#

@wanton dawn Has your question been resolved?

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tranquil iron
#

I have to find whether function is even or odd. It is odd according to sol, but idk how to arrive there

tranquil iron
#

The f is: y = ln(x + sqrt(x^2 + 1))

#

I know about raising -f(x) to -1 but i cant arrive to f(-x)

rocky jewel
#

its odd

tranquil iron
#

It is

#

Thats what sol says

rocky jewel
#

yea it is

tranquil iron
#

But how to arrive there

tropic saddle
#

What is f(-x) ?

rocky jewel
#

-x + sqrt(x^2 + 1) is 1/x + sqrt(x^2 + 1)

tropic saddle
#

What is -f(x) ?

tranquil iron
#

It is: ln(-x + sqrt(x^2 + 1))

rocky jewel
#

forgot the brackets

tranquil iron
rocky jewel
#

yea nic and ln(1/x)=-lnx

tranquil iron
#

-ln(x + sqrt(x^2+1))

tropic saddle
#

Well not so fast there

#

-ln(x+sqrt(x^2+1))=ln(1/(x+sqrt(x^2+1)))

tranquil iron
#

Yup

tropic saddle
#

Rationalize the fraction in the ln

tranquil iron
#

It is

#

ln( x^2 - sr(x^2 + 1) / x^4 - x^2 + 1)

rocky jewel
rocky jewel
tranquil iron
#

Before / is on top

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After / is on the bottom

#

I am on the phone its a bit quicker this way

tropic saddle
#

No

rocky jewel
#

its x not x^2

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before the sqrt

tropic saddle
#

The denominator should cancel down to 1

tranquil iron
#

U r right

#

Wait a sec

#

Alright now I am on PC

#

It's easier to type here

#

So

#

It cancels

#

and I get

#

ln(x - sqrt(x^2 + 1))

tropic saddle
#

I think you made a sign error

#

Maybe there is still a -1 in the denominator?

tranquil iron
#

I don't see it

tropic saddle
#

Should be x^2-(x^2+1)

tranquil iron
#

Oh so you swap it with the sign

#

I see I see

#

Alright

tropic saddle
#

And now you are left with ln(-x+sqrt(...))

#

Which is just f(-x)

#

So f(-x)=-f(x)

#

And we are done

tranquil iron
#

Ah

#

I see

#

So the rationalization part

#

Is the key to solution

#

Good good

#

Thank you very much!

#

.close

pearl pondBOT
#
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fathom river
#

does anybody know how to solve square roots and stuff like that? im having a lot of trouble understanding it

fathom river
#

this is the question btw

bold ledge
#

is sqrt(5)>3?

fathom river
#

what does that mean💀

#

lemme try it ig

bold ledge
#

is the square root of 5 greater than 3?

fathom river
#

idk

#

probably

bold ledge
#

are you sure?

fathom river
#

no

stark tundra
fathom river
#

idk what your asking me

bold ledge
#

i'm not asking you

#

im asking bread to think about it

stark tundra
#

My bad didn’t scroll up blobcry

fathom river
#

i think so

fathom river
#

right

bold ledge
#

maybe

#

maybe not

#

what happens if you square it

fathom river
#

bro😭

#

idk how to square

tranquil iron
#

Just raise both sides to the power of 2

3^2 = 3*3 = 9
sqrt(5) = ?

bold ledge
#

what is sqrt(5)^2

fathom river
#

25

#

??

bold ledge
#

no

#

that's 5^2

fathom river
#

3125

#

?

bold ledge
#

colder

#

very much colder

#

go the other way

tranquil iron
#

That's quite a big number

fathom river
#

is itr just 5?

tranquil iron
#

Correct!

fathom river
#

good

bold ledge
#

and is 5>9?

fathom river
#

no

#

OHH

#

wait but whered the 9 come from

tranquil iron
#

You need to square both sides

#

3^2 = 3*3 = 9

fathom river
#

so 5^5 - 3^3?

#

is how i would solve?

bold ledge
#

no

fathom river
#

this is the rpblem btw

#

oh

#

wait so how would i solve this?

tranquil iron
#

Is sqrt(5) > 3?

#

@fathom river

pearl pondBOT
#

@fathom river Has your question been resolved?

fathom river
#

no

#

it is not

pearl pondBOT
#
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sharp fern
pearl pondBOT
#

Please don't occupy multiple help channels.

sharp fern
#

Bruh I asked and waited 35 minutes and still haven’t got help,.

#

I want to the know the common difference but I haven’t found it

pearl pondBOT
#

@sharp fern Has your question been resolved?

sharp fern
#

<@&286206848099549185>

#

Hello?

fathom river
#

ik im not a helper but if u rlly need it ig i could try lol

#

if u dont mind

untold atlas
sharp fern
#

So what’s the first hour?

untold atlas
#

well, when A(1) = 45

#

since we're picking 45 apples an hour

sharp fern
#

Like this

untold atlas
#

19 looks correct

#

table is also fine

sharp fern
#

Okay then I am on the right track thanks for helping

untold atlas
#

ok, no problem

sharp fern
#

.close

pearl pondBOT
#
Channel closed

Closed by @sharp fern

Use .reopen if this was a mistake.

pearl pondBOT
#
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Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
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polar tundra
#

can anyone explain epsilon delta proofs in a simple manner

polar tundra
#

my teacher has trouble explaining it during class today

plush bramble
#

start there

grim patrol
#

wao

#

google does it again

pearl pondBOT
#

@polar tundra Has your question been resolved?

plush bramble
#

.close

pearl pondBOT
#
Channel closed

Closed by @plush bramble

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#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

strange trail
#

I am confused on identifying applying the first derivative test and the second derivative test.

desert tusk
#

Wdym ?

grim patrol
#

context

strange trail
#

For example like more precisely the points of inflection

desert tusk
#

???

plush bramble
#

just post the actual problem

grim patrol
#

ye lol

strange trail
desert tusk
#

Apply chain rule

#

When a function is inside another function

#

In this example: x-pi/2 is inside sec(x)

strange trail
#

Ok thank you, could you work out the problem so I could see it?

#

Pls

desert tusk
#

uhmmm

grim patrol
desert tusk
#

no

#

But

#

Enter your equation inside and it will tell you how to solve it step by step

strange trail
#

Lmao how’s that sus but ok thanks

grim patrol
#

lol

#

we r all

pearl pondBOT
#

@strange trail Has your question been resolved?

#
Channel closed

Closed by @strange trail

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#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

lucid oar
#

The answer said it was 20x and i got 23x

pearl pondBOT
lucid oar
#

Where did i go wrong at?

orchid cobalt
#

3(x-3)(2) is equal to 6x-18 but you put that it's equal to 9x-18

#

(3x-9)(2)=6x-18

lucid oar
#

OHH YES I SEE IT

#

Thank you!

orchid cobalt
#

np

lucid oar
#

.close

pearl pondBOT
#
Channel closed

Closed by @lucid oar

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Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
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• Be polite and have a nice day!

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lucid oar
#

The answer said it's y+x
But how?

pearl pondBOT
shrewd basin
#

It’s (x+1)y -x(y-1)

lucid oar
#

I thought that but is it always necessary to put x in front?

shrewd basin
#

It doesn’t matter the point is you have the brackets

#

So when you distribute the minus sign

#

You’d get -xy + x

lucid oar
#

Oh i think i get it now

#

Thanks!

shrewd basin
#

Np

lucid oar
#

.close

pearl pondBOT
#
Channel closed

Closed by @lucid oar

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#
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Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

faint onyx
pearl pondBOT
faint onyx
#

hi can someone explain to me why did they let y = t when a != 0?

grim patrol
#

its just

#

why did u

#

want to ask me some

faint onyx
#

hi

grim patrol
#

super weird stuff

#

then u ask some

#

baby stuff here

#

wow

#

u literally

faint onyx
#

wat

grim patrol
#

trollin me

#

anyway

faint onyx
#

sad

grim patrol
#

this right

faint onyx
#

yes

grim patrol
#

a cant be 0

#

cuz we divide by a

faint onyx
#

yes

grim patrol
#

we normally dont want div by 0

#

thats all

faint onyx
#

but why let y = t

#

cant we just leave as y

grim patrol
#

eh

#

its just

#

using an arbitrary dummy variable

#

kinda like

#

the

#

span of solns ig?

#

when u were working with matrices

#

u kinda just use a dummy var too

faint onyx
#

ohhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

grim patrol
#

thanks

faint onyx
#

ok thanks pro math person

grim patrol
#

i feel

#

smart rn

#

smarter than b4

faint onyx
#

help me with the

#

next

grim patrol
#

i feel

#

weird

#

u made me

#

feel

#

btr

#

n worse

#

is this some

faint onyx
#

explain this lps

#

pls

grim patrol
#

cult stuff

faint onyx
grim patrol
#

LOL

faint onyx
#

wats wrong

grim patrol
#

i would

#

if it wasnt

faint onyx
grim patrol
#

too small

#

LOL

#

literally

faint onyx
grim patrol
#

204 by 247 pixels

#

thats more like it

faint onyx
#

yes

#

now explain

grim patrol
#

sry my

#

margin cant contain my explaination

#

ill get going now

faint onyx
#

owowowowowow

#

OKAY

grim patrol
#

🕊️

faint onyx
#

ill ask a new qn yes

#

in a new room

grim patrol
#

nono

#

u can

faint onyx
#

.closie

grim patrol
#

ask this Q here

#

this

faint onyx
#

okay madam

grim patrol
#

HAHHAHA

faint onyx
#

asdonasdosdjadasjdpaisdjaspdia

#

ANYWAY

#

waits

grim patrol
#

im

#

totally taking that

#

HAHHAHA

#

whats that btw

faint onyx
#

i googled

#

longest equation

#

ever

grim patrol
#

the Boolean Pythagorean Triples problem

#

this?

#

lol

#

bro

faint onyx
#

wtf

#

u actualy know

grim patrol
#

/sis

#

this is

#

not the full eq

#

u cant just

faint onyx
#

nani

grim patrol
#

send an incomplete

faint onyx
#

I DIDNT KNOW

grim patrol
#

i also dk

#

hahhahaha

#

deth

faint onyx
#

WAT

#

ok

#

wait pls

#

im reading

#

notes

grim patrol
#

from ur mom

faint onyx
grim patrol
#

nihao shen me

#

qu du shu

faint onyx
#

wo yao wen wen ti

#

help

#

for this right

#

uh

grim patrol
#

no im busy rn

faint onyx
#

NANI

faint onyx
grim patrol
#

imma

#

cook

#

pasta

faint onyx
#

wait pls

grim patrol
#

HAHHAHAH

faint onyx
#

help me pls

grim patrol
#

IM

#

HUNGRY

faint onyx
#

A QUICK ONE

grim patrol
#

ok ill

faint onyx
#

yes

grim patrol
#

boil water first

faint onyx
#

ASKJDPASD

grim patrol
#

ok

#

b4 anything

#

can u

faint onyx
#

hi

grim patrol
#

name a few ways of cooking pasta

faint onyx
#

WAT.

#

idk

#

boil it

grim patrol
#

or

#

ways to eat pasta

#

like

faint onyx
#

use a plate

grim patrol
#

hotdogs

#

carbonara

faint onyx
#

o

#

eat with

#

milk

grim patrol
#

WOW

faint onyx
#

and hotdogs yes

grim patrol
#

u arent

faint onyx
#

and eggs

grim patrol
#

being

#

sincere

faint onyx
#

eggs and hotdogs

#

and the sauce

#

tomato

#

and some meat

#

o

grim patrol
#

ok

#

tahts cool

faint onyx
#

good boi/girl

grim patrol
faint onyx
#

yay

#

OK SO

#

we wanna get from

#

the explicit form

#

to the implicit form

#

wtf is it doing

grim patrol
#

ok so

#

essentially

faint onyx
#

yes

grim patrol
#

ive nvr heard of this b4

#

but

faint onyx
#

lmao

grim patrol
#

it seems like

#

explicit form is just

#

writing the eq of a line

#

in parametric form

#

so

faint onyx
#

yes

grim patrol
#

in both the

#

t or s

#

which ever they use

faint onyx
#

yes

grim patrol
#

is the same

#

yea?

faint onyx
#

yes

grim patrol
#

they kinda

faint onyx
grim patrol
#

made t the subj of the eq

#

from the first bit

#

like

#

omg

#

isnt the

#

ans

#

super straightforward

#

i dont get

#

what u dont get

#

like

#

i feel

#

im repeating verbatim

#

the point

#

(2+5t,3-2t)

#

is

#

(x,y)

#

we equate the 2

#

2 get 2 equations

#

then we made the subj of the eq t for both

#

then as weve 2 equ of

#

t= stuff

#

we equate both stuff

#

and rewriting it we get our implicit eq

#

like

#

idk

#

thats all ig?

#

hello

faint onyx
#

how do we rewrite the last line

grim patrol
#

which bit

faint onyx
#

after the =>

grim patrol
#

this?

faint onyx
#

ye

#

how did we get

#

the

grim patrol
#

idk

faint onyx
#

2x

grim patrol
#

we just

#

slowly

faint onyx
#

nani

grim patrol
#

*10

#

n

#

bru

#

just

#

write it out

#

its just

#

basic

#

addition n stuff

faint onyx
#

o

#

wait

grim patrol
#

the

faint onyx
#

we just

grim patrol
#

YES

faint onyx
#

play with the equation on the left

grim patrol
#

omg

faint onyx
#

omg

grim patrol
#

LOL

#

idk

faint onyx
#

i feel stupid now

grim patrol
#

why

faint onyx
#

sorry mother

grim patrol
#

u had to ask this

#

well

#

its ok

#

ill forgie u

faint onyx
grim patrol
#

just

#

make pasta

faint onyx
#

yes

grim patrol
#

HAHHAHA

faint onyx
#

ive only

#

cooked eggs

grim patrol
#

what type of eggs

faint onyx
#

and instant noodles

#

fried

#

idk

grim patrol
#

LOL

faint onyx
#

i just dump the eggs inside

grim patrol
#

try

faint onyx
#

let it sit there

grim patrol
#

boiled eggs

#

its easier

faint onyx
#

for 10 mins

#

was pretty black when it finished

grim patrol
#

...

#

u gotta

#

move the eggs

faint onyx
#

oh

grim patrol
#

n use a bit of

#

oil or butter

#

use a

faint onyx
#

i used a spoonful of salt

grim patrol
#

spatuala or smt

#

NO

#

THATS TOO MUCH

#

NOO

faint onyx
#

wut

#

Itsok

#

ill be aufutre gordon

grim patrol
#

yes

#

gordan

faint onyx
#

can help

#

with one more

#

part

#

small part

#

pls

grim patrol
#

could do calculus when he was 5

#

like

faint onyx
#

o yes

grim patrol
#

weierstrass substituition

faint onyx
#

saokdmapodd

#

gordon ramsey

#

wait pls help

#

last one

#

then u shall cook ur psaggett

faint onyx
#

seen it like

#

50 times

#

but dont get the

#

like

grim patrol
#

WAIT

#

CARBONARA SAUCE

faint onyx
#

whats r

grim patrol
#

IS EGGS CREAM N CHEESE

#

OMG

faint onyx
#

wat

grim patrol
#

im doing that

#

but

#

im

#

taking out the cream

#

cream is

#

unhealthy

#

im just gonna use

#

eggs n cheese

#

HAHHAHA

faint onyx
#

just use salt

#

i used one spoonful

#

while cooking eggs

grim patrol
#

ok so whats the issue with this

faint onyx
#

i had to put alot of water

grim patrol
faint onyx
#

to make it less salty

#

anyway

faint onyx
grim patrol
#

its the

faint onyx
#

is r like any point

#

on the plane

grim patrol
#

points of the plane

#

yes

#

r is any pt on the plane

faint onyx
#

wait so

#

whats r - a

#

a is the origin?

grim patrol
#

the origin

#

no

#

a is also an arbitrary pt on the plane

#

its like

#

imagine

#

on 3rd

#

aka in front of u

faint onyx
#

lets say like this

grim patrol
#

where u r the origin

faint onyx
#

i take

#

a - r

grim patrol
#

god

#

i dont get the diagram

faint onyx
#

wat would that be

#

lmao

#

o

grim patrol
#

looks so ugly as well

faint onyx
#

sad

#

a is the red dot

grim patrol
#

idk what the diag is saying

faint onyx
#

same

#

confusing

grim patrol
#

ok

faint onyx
#

anyway

#

so

#

a - r

grim patrol
#

ignore the diag

#

ok so

#

imagine u r the origin

#

i mean

#

the world revvolves arnd u after all

#

thrs

#

thrs some like

faint onyx
#

yes

grim patrol
#

super large sheet

#

so thats the

#

plane

#

yea?

faint onyx
#

is it like this

grim patrol
#

NOW

#

THATS A GOOD DIAGRAM

#

omt

faint onyx
#

YES

#

so a - r

grim patrol
#

using 2d to represent a 3d concept

#

so bad

faint onyx
#

is the line ap

grim patrol
#

eh

#

yea itll be a line ig

faint onyx
#

right?

#

YE

#

then

grim patrol
#

so like

#

r is just a plane

#

r-a is like

faint onyx
#

wat

grim patrol
#

a plane that goes thru the origin

faint onyx
#

r is a plane?

grim patrol
#

well

#

it maps to points on a plane

#

i guess

faint onyx
#

o

#

ok

#

so

grim patrol
#

well

#

more like

#

it can take on all values on a plane

#

then

#

r-a is that but the plane goes thru the origin

#

anw then what

#

ill add pasta to water now

faint onyx
#

asodsakd

#

wait so

#

a - r is the line ap

#

then

#

r - a= AB' + AC'

#

from this

grim patrol
#

hi

faint onyx
#

OKAY

#

I GET IT

#

NVM

#

U ARE MAM

grim patrol
#

what

#

ok well

#

if u get it

#

good

faint onyx
grim patrol
faint onyx
#

let me continue reading

grim patrol
#

ye

faint onyx
#

u can eat ur pasto

grim patrol
#

read thru ur moms phd paper

#

yas

#

if u r here

faint onyx
#

yes mom

faint onyx
grim patrol
#

yes

faint onyx
#

hi

grim patrol
#

hi

faint onyx
#

halp

grim patrol
#

wirh

faint onyx
#

so here

grim patrol
#

omg

#

carbonara sauce

faint onyx
#

wait

grim patrol
#

was so good

#

omg

faint onyx
#

wat

grim patrol
#

ahh

faint onyx
#

wow

grim patrol
#

it was

#

so good

#

ahhhhhh

faint onyx
#

why do u know how to cook

grim patrol
#

idk

#

my

#

first time making a good dish

#

phew

faint onyx
#

teach

grim patrol
#

just

#

buy some

#

spices shakers

faint onyx
#

i messed up eggs

grim patrol
#

LOL

#

thats

faint onyx
#

how can i cook a meal

grim patrol
#

thats

#

ok

#

about eggs

faint onyx
#

not ok

grim patrol
#

u just

#

butter ur pan

faint onyx
#

i cant even cook boiled eggs

grim patrol
#

then

#

LOL

#

no

#

u cant

faint onyx
#

i remember once

grim patrol
#

not cook boiled eggs

faint onyx
#

i cooked it

#

and when i broke it