help-0

[hexed hawk]

i think thats why i got confused

bc it said

[slate jolt]

the number of the card

[hexed hawk]

A(c) and B(c) so i didnt think of it like

A|B

[slate jolt]

what?

[hexed hawk]

this

[slate jolt]

?

WDYM

oops caps lock

[hexed hawk]

it represents an event occuring following another event

but scratch that

[slate jolt]

the c here is just to break it down card by card

[hexed hawk]

I've just never seen someone say A(c) so i didnt know that was A and B

but no

the rule is for one card

[slate jolt]

A(1) is the assertion " card 1 has a number less or equal to 5 on one side"

[slate jolt]

just replace c by 1

[hexed hawk]

we never did it like that

[slate jolt]

ok

[hexed hawk]

the rule is just P=>Q in my mind

but then

[slate jolt]

i'm not in your course though idk what you did

[hexed hawk]

ik im just saying that to say im not understanding bc i didnt learn it tht way and u have more experience than I do

[slate jolt]

the rule for what?

[hexed hawk]

Rule: If a card has a number less than or equal to 5 on one side, then it has a letter that comes before M in the alphabet on the other.

[slate jolt]

yeah

ok

so what would P and Q be then?

[hexed hawk]

If less than or equal to five on one side, then letter before m on the other.

P- card on one side has a value lesser than or equal to five

Q- card on one side has a letter before M in the alphabet

[slate jolt]

okay good

but the whole c thing

was to answer the question

[slate jolt]

which card are you talking about?

[hexed hawk]

u said what does P mean in the rule

thats what i answered

[slate jolt]

yeah but you said P talks about a card

which card?

[hexed hawk]

a card, like a as in indefinite article

not like the, as in definite article

[slate jolt]

so any card

[hexed hawk]

cards

yes

[slate jolt]

yeah

so P is an affirmation

that talks about a card

any card right

but P does not say

[hexed hawk]

universal affirmative?

[slate jolt]

"all cards have a number smaller than 5"

[hexed hawk]

All cards with a value lesser than or equal to 5 will have a letter before M on the other side.

[slate jolt]

yeah

right

so what you just did

is use a quantifier

For all cards

P(card) => Q(card)

[hexed hawk]

but the statement is only applicable to cards with <5

[slate jolt]

remember that in A=>B

if A is false

then (A=>B) is true

[hexed hawk]

https://tenor.com/view/why-whatever-gif-23592041

bc dont u need A to happen for B to be true

like if A is true then B is true?

[slate jolt]

the defintion of A=> B

is not(A) or B

so if not(A)

then not(A) or B

which is exactly A=>B

[hexed hawk]

but

A=>B

If A then B

[slate jolt]

yeah but it doesnt contradict what i said

the statement "if A then B"

is always true if Not(A)

because "if A then B" only tells you about when A

it only gives you information about what happens when A

[hexed hawk]

but this says

if NOT a, then NOT b

[slate jolt]

?

[slate jolt]

what is "this"

please make longer sentences

[hexed hawk]

this contradicts what youre saying

[slate jolt]

it gives a definition

of what is a contrapositive

or an inverse

it doesnt contradict anything

like all of these are definitions in a way$

they are not the same or depend on each other necessarely

[hexed hawk]

could we turn back to the question

bc then its just gonna get more confusing

[slate jolt]

yeah

the satement is roughly

For any card

P(card) )=> Q(card)

[hexed hawk]

the rule?

[slate jolt]

yeah the quoted sentence

did you learn about quantifiers yet?

[hexed hawk]

yes but idk what they are besdies quantified

LMFAO

[slate jolt]

the ri

the rule is " for any card P(card) => Q(card)"

including the quantifier

[hexed hawk]

So the rule states: P(card) )=> Q(card)... meaning a card with a number less than or equal to 5 on it's side will then have a letter before M on the alphabet on the other side.

[slate jolt]

yeah

[hexed hawk]

i already know we would need to flip 5 and 2

[slate jolt]

yeah

because P(card_1) and P(card_4) are true

[hexed hawk]

u said not to rationalize it yet but idk how we are getting anywhere from the logical predicate language tghings we outlined already?

[slate jolt]

if you label the cards

from 1 to 6

left to right

[hexed hawk]

im just trying to identify which to do

P(5) and P(2) makes more sense no?

[slate jolt]

no because its not consistent

[hexed hawk]

its a little easier to do the question not with the P(c)

[slate jolt]

i did the whole P(c) thing to make you use quantifiers

[hexed hawk]

bc rn i wanna derieve which cards to choose and then get the intricacies bc then its in circles'

[slate jolt]

which is imho

[hexed hawk]

imho?

[slate jolt]

the point of the exercise

[hexed hawk]

idek what a quantifier uses

[slate jolt]

in my humble opinion

=imho

[hexed hawk]

no no historically the exercise is used to evaluate human error in misunderstanding conditional statements

pitfalls of reasoninng

[slate jolt]

basically what i was trying to convey

is that

the statement is for all the cards

so only 1 card where it doesnt stand

and the whole statement doesnt stand

and this is a rule of the Forall quantifier

which i wanted us to use

to disprove a statement that starts with forall

you only need 1 counter example

[hexed hawk]

idk man i think its easier to rationalize why to pick the cards and work backwards

bc we know why 5 and 2 minimally have to be chosen

but there has to be 1 more card

but then

what is 2 doesnt even need to be flipped

ion even know

[slate jolt]

basically use the definition i gave

A=> B

is the same as

not(A) or B

[hexed hawk]

ok but how are we moving forward

[slate jolt]

then

[hexed hawk]

i cant use ur definition

bc ik it is true

[slate jolt]

you can

[hexed hawk]

but it isnt making sense

but A => B also means

A then B

so why cant we use that

[slate jolt]

we can use this

[hexed hawk]

~AvB

bc youre saying theyre the same

which they are

but i will be unable to follow at all

so why not stick with ~PorQ

[slate jolt]

also you should understand

why they are the same

p=>q means if q then p

right

but what if p is false?

doest that disprove p=>q?

[hexed hawk]

im just rlly tired i jave this then an derivation ive been trying to do forever bc i dont understand argument mapping or derivations at all... which ofc u dont have to do with me but i slept 3 hours or less last night so im just very burnt out lololol

bc i know theyre the same

im not understadning

but ik it

and i woukd like to progress and understand later

bc conceptually ik theyre the same

[slate jolt]

ok

then if we us not(P) or Q

for any case where you have not(P) you dont need to do anything

because the whole statement is true

so for example the 8

[hexed hawk]

so any case where the card is above 5

is a dub

[slate jolt]

yeah

same with Q

if Q is true

then the whole statement is true

right?

[hexed hawk]

wait can u reword

[slate jolt]

P=>Q is the same as not(P) or Q

and if you have Q

you have not(P) or Q

[hexed hawk]

is it inclusive or

bc im reading it as

neither not P or Q

[slate jolt]

what?

not(P) or Q?

why the neither?

[hexed hawk]

thats just how im reading it idk

so instead its

either ~P or Q, or both

[slate jolt]

yeah

its this

so if Q

then ~P or Q, or both

its disjunctive introduction

[hexed hawk]

...so not inclusive or?

[slate jolt]

its inclusive

when its just or

in the context of logic

you should most of the time asusme its inclusive

[hexed hawk]

then ~PvQ

but where does this progress us on the questrion

[slate jolt]

this is the same as P=>Q

so if Q is true

[hexed hawk]

ik'

[slate jolt]

then P=>Q is true

so for which card is Q true?

[hexed hawk]

https://tenor.com/view/fille-choque-shocked-chloe-huh-what-gif-17202091

q- letter before m

B

[slate jolt]

yeah

[hexed hawk]

but what about b

for P=>Q

[slate jolt]

P=>Q is true for b

and this is the only card remaining

[hexed hawk]

why?

it has Q

but

not P

or unknown P

but its also like

irrelevant

[slate jolt]

yeah for the implication

it is

[hexed hawk]

bc if u flip it over and its a number after 5 it doesnt violate anything

[slate jolt]

yeah because either way

Q is true

so if P is false, we dont care

[hexed hawk]

bc nothing says 6-10 cant have a letter before M

[slate jolt]

and if P is true, well Q is true so all good

[slate jolt]

6-10?

[hexed hawk]

its just like above 5

[slate jolt]

oh ok

yeah

basically

an implication

only tells you what should happen when the if statement is true

reversely, if the then condition is verified,

no matter what is the if statement

the implication is verified

[hexed hawk]

...?

[slate jolt]

"if its rainy then i take my raincoat"

[hexed hawk]

yes

[slate jolt]

i take my rain coat

so if its rainy

i have my rain coat

and the implication is true

[hexed hawk]

u right

[slate jolt]

and if its not

[hexed hawk]

but then what if rainy then no rain coat

[slate jolt]

well the implication doesnt tell me anything about sunny days

[hexed hawk]

so u need Q to be true

OHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH

~PvQ

nvm no oh

[slate jolt]

its hard but you should maybe rethink about all of this later

at some point the true ooh will come

[hexed hawk]

true

i wanted to aim to get these two done and then maybe aderivation question before sleeping

bc then i will like

have a basis and understand derivations

bc YT? sucks

did not help

idk

but

ok

um

We only flip cards where P=>Q is true, yes?

to reaffirm

[slate jolt]

no we flip the cards

where we are not sure

if P=>Q is true

[hexed hawk]

whaaaaaaaaa

[slate jolt]

if we know

we dont need to flip

[hexed hawk]

all of them we are unsure

ok

[slate jolt]

since we already know

5 and 2 we know we need to flip

[hexed hawk]

if the card fits in P=>Q then we flip to find out

[slate jolt]

no we need to flip the unsure cards

[hexed hawk]

to me its bc they fall under the rule immidiaely, in logic brainness lmfao what wwould u say

[slate jolt]

5 and 2 both verify P

[hexed hawk]

but like how do u derive what is an unsure card-- what was the point of the p=>Q beyond the rule said that then ;-;

[slate jolt]

the point

is to use the definition

to prove that some cards are sure

for example 8 is sure

[hexed hawk]

verify p???

what do u mean

[slate jolt]

i mean

[hexed hawk]

it more verifies P=>Q

[slate jolt]

P is true

for both

[slate jolt]

no

[hexed hawk]

;;-;;;;;;;;;;;;;;;;;;;;;;;;;

[slate jolt]

thats why we need to flip

[hexed hawk]

it doesnt make sense

[slate jolt]

it does

you should just go to sleep

[hexed hawk]

If we flip the card: it can affirm or negate P=>Q

i cant

ive been at this for two days

[slate jolt]

yeah

[hexed hawk]

i got no where

these arent even the questions worth the most

[slate jolt]

but if you already know P=>Q

[hexed hawk]

these two combined are 10 points

[slate jolt]

you dont need to flip

[hexed hawk]

i cant fail the course or i drop out

F=>D

LMDAO

but why are u saying it affirms p

because u can see that the card is a <5 card

[slate jolt]

because if you read P out loud

it litterally is true

[hexed hawk]

p- cards with <5 on them

[slate jolt]

for 5 and 2

[hexed hawk]

but like whhhhyyyy does that matter

like in logic

outside of it

[slate jolt]

because

if P is true

for P=>Q to be true

you also need Q

which you dont know

[hexed hawk]

u gotta flip it bc if it doesnt have a letter before M, it violates the rule

but logically

ion know

[slate jolt]

logically

just what i said

[hexed hawk]

i dont get it

[slate jolt]

here

[hexed hawk]

if P is true u dont need it to be true for P=>Q

which u iterated

right

[slate jolt]

you dont need "it"

you need Q to be true

if P is true

[hexed hawk]

?????????????????////

one sec i need to panic

[slate jolt]

my dude you are not in the right mental state to understand things

[hexed hawk]

i need to do this stuff this is so so so so so so much

i have been doing this since 11:50Am

pretty much

and got no where on other things

its all due tomorrorw afternoon

and im stressed

and if i dont pass these things iw ill fail the course

and if i fail the course

i have to drop out

which is not cash money

technically it was due yesterday

if anything

technically it was due in May

but i was given an INC bc of life stuff

then here i am

[slate jolt]

do you just need the answer or a proof?

i gotta sleep eventually also

[hexed hawk]

ik ofc i will liekly stay up im jsut rlly tired

and i dont wan nadrop out

i think its just an answer but w an explanation of some sort

but if the answer is there

but it sucks

these two questions are worth only 10 together

like example

file:///C:/Users/luaij/Desktop/FinalLogicDocument.pdf

this doc

i have NOTHING for 2.2, 3.2, and especially not 6.2

i had 5.2 completely done

i accidentally threw it away

file:///C:/Users/luaij/Desktop/Logical_Reasoning_Spring_2022_Exam_1_(Midterm).pdf

this one

[hexed hawk]

I have an attempt, like its done but prolly not right of 2.2... then nothing of 3.2 but but but 3/4 things are the exact same as the final's 3.2 which is cool

or would be

if i knew how to do it

[hexed hawk]

what's this?

[slate jolt]

the answer

[hexed hawk]

isnt 4 cards a lot?

ion know anything abt this so probably not

[slate jolt]

even if you dont know about the answer

[hexed hawk]

i wouldve thought 3 cards total

[slate jolt]

X and Z are both after M

and 5 and 2 are both before 5

so X and Z have the same answer

and 5 and 2 have the same answer

so its not surprising we dont have 3 flipped cards

[hexed hawk]

so if Z or X had a <5 on the other wise then it violates, thats why?

[slate jolt]

yeah

as i said

X is card 3

we would need to get not P

for the implication to hold

or in other words to not violate we would need >5

which is what you just said

[hexed hawk]

reading #3 rational if we need not P, why?

[slate jolt]

rephrase that please

[hexed hawk]

reading the reasoning behind why we would flip card X.. why would we want to flip and assure there is a ~P?

[slate jolt]

if we want the implication to hold

as you said

[slate jolt]

if we flip and see P

[hexed hawk]

ohhhh

[slate jolt]

it doesnt work

so we want not P

[hexed hawk]

so if we see a <5 then its violated okokok

[slate jolt]

do you need more help.

imma sleep if not

@hexed hawk

[hexed hawk]

instead of the long question i havent done yet, maybe could you check my argument map of something i already did?

[slate jolt]

yeah

[hexed hawk]

ok let me grab

[subtle river]

just getting on to say that im the real spooky j @hexed hawk

yall have a good day now

[hexed hawk]

this may be easier to read! this is the thing the argument map is based on

[subtle river]

👋

[hexed hawk]

there can only be one 🤺

[slate jolt]

so you should be drawing an implication graphs?

or something like it

[hexed hawk]

what's an implication graph?

they wanted us to draw an argument map

[slate jolt]

yeah its just that i dont know what exactly is an argument map

[hexed hawk]

this is the instructions

[slate jolt]

but from your drawing i can kind of guess

[hexed hawk]

this is what i did

the } brackets are like dependent premises

[hexed hawk]

in this i also outlined my intermediate conclusions

i just rlly dont know if the argument map is right

[slate jolt]

what is sure is that

1+2 gives 3

3 and 8 gives 9

[hexed hawk]

yessir

[slate jolt]

9 and 10 give 11

and 11 and 12 give 13

but you didnt draw it the same way

[hexed hawk]

3 is from 1 & 2, 8 is from 4 & 7, 9 is from 3 & 8, 11 is from 9 & 10, 13 is from 11 and 12

for sure

[hexed hawk]

i didnt draw them the same way bc lets say like

a and b make conclusion c

the premises can be either independent or dependent

[slate jolt]

what does that even mean

but all the 5->6 and 4->7 seems wrong

like it doesnt make sense

[hexed hawk]

i wrote about it here

[slate jolt]

so its "or" and "and"

independant means or

and dependant means "and"

[hexed hawk]

uhhhhh idk dependent premises logically require each other and work together to support a conclusion

[slate jolt]

yeah

so you need premise 1

and premise 2

but independant

[hexed hawk]

P1. If there are clouds and high levels of humidity then it will rain.
P2. There are clouds and high levels of humidity.

C. Therefore, it will rain.

[slate jolt]

you only need 1

[hexed hawk]

these are dependent

[slate jolt]

11 and 12 are def dependant

[hexed hawk]

why?

i dont doubt but would like an explanation

[slate jolt]

if you remove one you dont get the conclusion

[hexed hawk]

bc ik what both are but dk how to always tell

[slate jolt]

like if you just have 12

it doesnt make sense to ban specifically the death penalty

[hexed hawk]

11. constitution prohibits the death penalty. 12. Anything the constitution prohibits should be declared unconstitutional.

this was why i did that

but again i am so unsure about my graph

so if u have reasons behind why ill redo it and incluude the reaossns

reasons*

[slate jolt]

dont worry about antonyms

you are not studying law

you are studying a stupid example

the explanation for them being dependant

is that 12 alone doesnt make sense

eventhough

11 could lead to 13 on its own

given this antonym thing

[hexed hawk]

seeeeeeeeee

[slate jolt]

its just bulshit tbh

give me the hard question

[hexed hawk]

the synonym?

LOLLLL

WAIT HOW CAN I FIX MY DIAGRAM LOL

it's late is it not?

[slate jolt]

idk i give up

this shit is not maths

[hexed hawk]

LOLLLL

sent here bc logic and theoretical math/discrete math

[slate jolt]

drawing diagrams of weird affirmations

its always like this, they cant give clear examples for their exercises

but assuming the way this is written

[hexed hawk]

r i g h t

that's what im saying

and he would always be like

[slate jolt]

i think 4 5 6 and 7 all lead at once to 8

[hexed hawk]

interpretations <3

[slate jolt]

and are not linked to each other as you did

[hexed hawk]

then be like no u wrong

ok ok ok so

[slate jolt]

idk independantly or dependatly tho

[hexed hawk]

ok so 4-7 lead to 8 yes

then its a matter of dependence or not do like

[slate jolt]

8 needs 7 absolutely

[hexed hawk]

i thought 5 only proves 6, and then 4 supports 7

[slate jolt]

7 needs 6

[hexed hawk]

then 6 and 7 are deprendent

[slate jolt]

5 doesnt prove 6

it would be more like

[hexed hawk]

not prove more like

there is a word for it

[slate jolt]

5 and 6 prove "the death sentence is unconstitutionnal"

give me the hard thing its almost 1am

[hexed hawk]

ok okok ok

its hard to me at least

more derivations

which u seem to be keen on

[slate jolt]

logic is something you gotta be keen on if you do maths later

but its actually easier to apply the legit rules

than to try to interpret bullshit

[hexed hawk]

ok ok ok ok

so choose one of these

one has more mathy stuff

the other

i jjust didnt know what it means

[slate jolt]

G

I

V

E

[slate jolt]

,rccw

[hexed hawk]

the weight and success condition things..... CLUELESS the explanatory stuff thats less mathy more explaining i could likely do if i dont cry LOLLL

Derivation for me .........

[slate jolt]

so this argument

is

[slate jolt]

world is organized

god explains this organization better than no god

[hexed hawk]

these two are for the derivation.... putting into standard linear format is easier

but

derivations

where we have to say what inference or substiution rules as u did earlier.... absolutely clueless

these are 3/4 ive been trying to do since 11:50Am

[hexed hawk]

it is SO weird and doesn't make sense, but he says it doesnt have to in order to be a valid or invalid argument... just has to follow rules

like the invalid argumentr

roses need water. all living things need water. therefore, all roses are living things

belief bias makes u go yassss but really its invalid

like

[slate jolt]

the argument is valid

but the premices are wrong

[hexed hawk]

my bf baljinder reads manga. all slavs read manga. therefore, all baljinder's are slavic

[he is punjabi]

or like

all dogs drink water. all insects drink water. therefore, all dogs are insects

no the rose thing isnt valid

[slate jolt]

yeah it isnt

[slate jolt]

this is not correct also

gotta sleep sorry

also i cant do this efficiently

[hexed hawk]

yes ik they're all invalid, they're the same form.. just was an example

no worries

thank you for all of ur help

[slate jolt]

i think your best shot is ask someone that already took the course

[hexed hawk]

i did

theyre all clueless

as well

same professor

BUT THANK UUUUU

[slate jolt]

is this really a maths course?

[hexed hawk]

https://tenor.com/view/thank-you-thanks-thanx-thank-you-so-much-kgo-gif-23072732

[slate jolt]

it looks like a philosophy thing

[hexed hawk]

it's both

and then u see like

math majors, engineering majors, and phil majors all together

[slate jolt]

lol

bye

[hexed hawk]

bye bye

.close

[lone heart]

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[cunning vortex]

question

[lone heart]

Please don't occupy multiple help channels.

[cunning vortex]

i do not know how to do this

.close

[lone heart]

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[lone heart]

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• 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.

[bold panther]

please help

[lone heart]

@bold panther Has your question been resolved?

[languid haven]

oh wow

dude ya there?

nvm

[lone heart]

@bold panther Has your question been resolved?

[lone heart]

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[lone heart]

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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.

[past lark]

how do i understand this: cos(v)*(1+cos(u))*sin(v/8) and sin(u)*sin(v/8)+cos(v/8)1.5 and finally, sin(v)(1+cos(u))*sin(v/8)

[inland plank]

understand what?

[past lark]

cos(v)*(1+cos(u))*sin(v/8)

it makes this

[zinc dagger]

It’s like a cute snail

[past lark]

hes

its in blender 3

how do i fugure it out

[tropic wharf]

hi, is anyone know how to calculate the probability. There are two dices (dice A (roll 100 times and B roll 100 times) and I want to know the probability number 1 is belong to dice A not B. Thanks

[lyric stream]

#❓how-to-get-help

[past lark]

so

is it a mesh calc to make the swirl?

hello?

[tropic wharf]

are you asking me?

[past lark]

yes

i need help

[tropic wharf]

sorry I can't help you too

[past lark]

ah

hmm

[lone heart]

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[wheat isle]

How do I do part B? I know the sum of roots are -p/1 and products are q/1

[wheat isle]

I don’t know what else comes next

[craggy token]

that's pretty straightforward imo

you've found alpha+2 and beta+2 in (i) and (ii)

both the sum and product

[craggy token]

and you know this

[wheat isle]

Yes,

[craggy token]

dont you get the idea?

[wheat isle]

But I don’t know what I’m supposed to write?

[craggy token]

$(\alpha+2)+(\beta+2)=-p$
\$(\alpha+2)(\beta+2)=q$

[ocean seal]

nichoals

[wheat isle]

-k + 4 is the sum and -2k + 13 is the prod

[craggy token]

yep

[craggy token]

hmm i think your (ii) is not quite correct

[wheat isle]

It’s not?

[craggy token]

$(\alpha+2)(\beta+2)=\alpha\beta + 2(\alpha+\beta) + 4 = 1 - 2k + 4 = 5 - 2k$

[ocean seal]

nichoals

[craggy token]

you put (-k + 4) as alpha+beta

whereas (-k + 4) is alpha+beta+4

[wheat isle]

Do I solve for p?

[wheat isle]

Is it supposed to be k+4? Not negative?

[craggy token]

nope

it alpha+beta should be -k

not -k+4

[wheat isle]

No need for 4??

Isn’t it -p/1?

So it would be -k + 4 = -p

And then

-k = -p - 4

-k/-1 = -p - 4/-1

So k = p + 4

Wait

I think I did it wrong

Shit

Ignore what I did

Lmao ik

😭

Let me re do it

[craggy token]

no what i meant was
\in part (ii), the OP wrote $\alpha\beta+2(\alpha+\beta)+4=1+2(-k+4)+4$
\but alpha+beta = -k, not -k+4

[ocean seal]

nichoals

[wheat isle]

-p / -1 = -k + 4 / -1

p = k - 4

And we repeat for q same steps?

Alright

-q/1 = -2k + 13

Hold on gonna do it rq

Wait it’s not -q

just q/1

It’s just q = -2k + 13?

Me?

but anyways

tysm guys

i understand

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[fair swallow]

without using calculus, find the minimum value of x + (1/(x+1)) where x>-1.

(someone please help i suck at inequalities)

[vale wigeon]

$(x+1) + \frac{1}{x+1} - 1 \geq 2 - 1$ with equality iff $x+1=1$

[ocean seal]

Ann

[fair swallow]

wait how could i not have seen that

thanks!

.close

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[fair swallow]

bruh

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[alpine sable]

Mee

[alpine sable]

Answer should be 600

What should I do first

[fallen verge]

It may help to change .333 to 1/3

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[full fern]

Please help

?

[astral grove]

i wanna rotate it quickly mate

one sec

[full fern]

Oh

Sorry sir

[astral grove]

nah don't call me sir mate

[full fern]

But your my teacher

[astral grove]

im not a teacher im just another random guy on this app

[full fern]

Your elder than 16 right

[astral grove]

no

[full fern]

But your helping me…

[astral grove]

i am 16

[full fern]

Oh same

Nice

Please help mate

[full fern]

The question is in German so I had to use translator 😅😅

Otherwise I would have send the photo again. Sorry for the trouble

[astral grove]

nah its all ok mate

there is a command for it

[full fern]

That’s good to hear 🙂

[astral grove]

ok ill type it out

[full fern]

Thanks 🙏

[astral grove]

a basin can be filled by two tributaries

the first could fill it in 3 hours

[barren osprey]

hi

[astral grove]

the second could fill it in 5

how long does it take if they are opened at the same time

[barren osprey]

hi

[astral grove]

hi mate

hyd

[barren osprey]

good

[astral grove]

how long does it take if the second one is opened half an hour before the first

[full fern]

Do you have manners like literally interrupting while he was teaching me?

[barren osprey]

sry

[full fern]

No problems mate

[barren osprey]

i just need some lesons i have exams soon

am checkpoint

[full fern]

Please check #❓how-to-get-help

[barren osprey]

ok

[full fern]

Thanks mate

[barren osprey]

thanks mate

[full fern]

@astral grove please carry on

[astral grove]

,rotate 90

[ocean seal]

Couldn't find an attached image in the last 10 messages.

Oct 28, 2022, 10:33 AM

[astral grove]

can u resend image please mate

[full fern]

ok sir I will send the image again

No problems

[barren osprey]

am sry to interupped but i cant message in #❓how-to-get-help so how can i get my own channel

[astral grove]

type in an unused help channel

right now help channels 20 21 and 43 are open

type ur question in there mate

[barren osprey]

oh i see then

thanks mate

[astral grove]

beautiful

so i don't know this off the dome

but im happy to try this

for part a

how much does each tank fill per hour?

@full fern

[full fern]

Sorry sir?

Dident understand what you mean

[astral grove]

can u call mate

easier to explain if possible

if not ill try by typing

[full fern]

Do you want to voice call?

[astral grove]

if possible yes mate

[full fern]

Sure mate go to dms

[astral grove]

k chill

[full fern]

.close

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[flat bane]

i dont understand this, so | a - b | is equal to -(a-b)??

[vale wigeon]

|a - b| is equal to -(a-b) precisely when a is less than b.

[flat bane]

but | -2 + 5 | = 3, -2(-2+5) = -3

[vale wigeon]

i don't understand what point you're trying to make, sorry.

also you made at least one typo.

[crude pilot]

-2 + 5 = -2 - (-5)
-2 > -5
| -2 + 5 | = (-2 + 5)

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[vestal talon]

How do you type this into a graphing calcualtor

[vestal talon]

when I type it in I get a quadratic but this should be able to show a curve or something

like its an upwards opening quadratic but the cost of producing lawnmowers cant go up forever if Im supposed to find a minimum

<@&286206848099549185>

[lament glen]

note the 0 < x <= 35

[vestal talon]

yeah I dont know how to enter that

I thought it was like my window

[lament glen]

you don't have to

graph it and then only focus on x from 0 to 35

[vestal talon]

am I making a stat plot?

oh I made my y max 1500 and my x max 35

there we go okay it worked!!

.close

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[errant python]

How would I graph the inverse of f(x)=|2x|

[tribal oxide]

What is the domain?

[errant python]

not sure

well shouldn't it be -∞ to ∞

[tribal oxide]

If its the entire number line then you wont get an inverse cuz the function wont be injective

[errant python]

So I should graph it without the entire number line?

[tribal oxide]

Appropriately restricting the domain would allow you to obtain an inverse

[errant python]

What would that look like on a graph?

[tribal oxide]

Reflection of the graph along the line y=x

As long as the function is bijective

[errant python]

Thank you

.close

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[bronze girder]

hello hi i have a question: six women and two men wait in a grocery store checkout line. determine the number of possible ways these customers can stand in line, given that A: the men do not stand together; B: the men do not stand on either end; C: the men do not stand together and do not stand on either end

[pulsar aspen]

Simple!
First, note that none of the question concerns the ordering of the women. So, you can just order the women first

[lament glen]

A: You can place the women first, then place the men in the spaces between women (also start & end of line)
B: Find the total number of ways the line can form, then subtract the cases where men are on either end
C: Do it like A but this time the start & end of the line do not count as empty spaces

[pulsar aspen]

Then you find out the possible placement of the males.

[bronze girder]

is the answer for A 2880?

NO i meant 8640

is it 8640

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[bronze girder]

.reopen

[lone heart]

✅

[bronze girder]

pls confirm if my answeer is correct

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[rancid wolf]

could someone help me with this

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[vestal talon]

is the numerator part of the domain

[tough jasper]

Wdym by part?

[vestal talon]

i wrote my domain as x =/= -3, 3 , -5/2

-5/2

[tough jasper]

The domain is all the x values that dont make the function bad

Yeah it should just be -3 and 3

[vestal talon]

why

[tough jasper]

Because the other values just make the function equal 0

Not infinity or anything undefined like that

[vestal talon]

I definitely dont understand

[tough jasper]

If you plug in -5/2 you get a defined value

Although i just realized you messed up so it wont actually be zero

Either way the numerator doesnt effect domain if its a polynomial

[vestal talon]

howd i mess up i dont understand

other than it shouldnt be negative 5/2

[tough jasper]

Yeah thats how

[vestal talon]

ahhh

[tough jasper]

Anyways if it were pos

[vestal talon]

okay ill try to cram on my drive to class rn

[tough jasper]

It still wouldnt be excluded from the domain

[vestal talon]

its the x inter

not the domain

[tough jasper]

Oh

[vestal talon]

okay gotta blast or ill be late

[tough jasper]

True

[vestal talon]

ty

.close

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[pliant estuary]

I have this linear map between two linear spaces and I have to find map matrix with reagards to B and C, how to do thath?

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[pliant estuary]

<@&286206848099549185>

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[upbeat kayak]

If W is a subset of the linear space V.

What is the meaning of this expression?

[slate jolt]

this seems to be a definition for the span of a set S

are Ws sub linear spaces?

or just sets?

[lone heart]

@upbeat kayak Has your question been resolved?

[tacit arch]

Intersection of all sets W that contain the set S

from this it just looks like l(S) = S itself

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[upbeat kayak]

Ah okay, ty

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[thorny sphinx]

The question is

[thorny sphinx]

How did they get that answer? From the laws I've learned in lectured it should be a different answer

[sand pawn]

they used product rule first

then they simplified it

[thorny sphinx]

Why did the log base 3 stay? My answer is the same but the log base 3 and the fraction at the back aren't there

[sand pawn]

$ u(x) = 2^x $

[thorny sphinx]

Considering these laws. The log shouldn't come with

[sand pawn]

That's not product rule

(uv)'=uv'+vu': u,v are functions of x

[thorny sphinx]

Oh wait! I get it now! For the product rule I used the deriv instead of the base equation! I think I see where I went wrong

[sand pawn]

#❓how-to-get-help

[sand pawn]

thank God

if you are done, please close this channel

[thorny sphinx]

How do I do that?

[sand pawn]

.close

[thorny sphinx]

.close

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[ornate condor]

f(z) = z^2 Re(z)

[ornate condor]

where is this complex differentiable? z=0? nowhere?

[sand pawn]

What's Re(z)?

[ashen oasis]

real part of z

[keen plinth]

just do it

plug in

cauchy riemann

[ornate condor]

yea so i was wondering

shld i just use CR equ

or shld i use

[keen plinth]

just a super quick comp

[ornate condor]

f(z) = f(c) + f'(c) (z-c) + mew(z)

[keen plinth]

no dont do that

[ashen oasis]

use it first and see where you end up

[keen plinth]

you get into pain

[ornate condor]

i used CR eq and got its satisfied only at z=0

[ornate condor]

when do we use this btw

[keen plinth]

you just rederive cauchy riemann if you do that

its pain

[ornate condor]

so does this mean complex diff at z=0 holomorphic nowhere

[keen plinth]

yes

the end

[ornate condor]

so

[ashen oasis]

oh god
never go there in complex analysis if you have an easier way

[ornate condor]

wherever cr eq is satisfied its complex diff

[keen plinth]

yes

[ornate condor]

idk

cuz i was reading this novel

[ornate condor]

and this is mentioned

[keen plinth]

cauchy riemann is literally saying that you can write derivative as complex number

lol

[ornate condor]

idk when i would use this?

[keen plinth]

its the best novel

[ornate condor]

lol

yes

[keen plinth]

[ornate condor]

when wld i use this

[keen plinth]

for proofs

when you dont know what f is

[ornate condor]

can i not just plug cr equ?

[keen plinth]

well

depends on the proof

[ornate condor]

INFINITE HAITUS CUZ OF CCP LOL

[keen plinth]

also ig bot is ded rn

[ornate condor]

oh sed

[keen plinth]

[ornate condor]

ok well

thanks

Breakthrough

Level up Imperial Sky Layer 3

wow

a breakthrough in understanding

thanks snow and penguin person

💕

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[lyric gull]

Writing the equation of a secant line

[lone heart]

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[sudden minnow]

can anyone teach me a step by step process to solve this?