#help-23 | Mathematics | Page 19

dire crypt Sep 28, 2022, 8:26 PM

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lim x tends to 0, sinx/x=1

cerulean root Sep 28, 2022, 8:26 PM

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this one

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they added 5 theta to the denominator

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but they added 5 to the top

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same for the 2 theta

dire crypt Sep 28, 2022, 8:28 PM

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what

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nah this isnt what they actually did

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think

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but you're close

cerulean root Sep 28, 2022, 8:29 PM

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dire crypt nah this isnt what they actually did

how come? i understand that we are trying to get sinx/x

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so we seperate

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as sin5t / 1 and 1 / sin2t

dire crypt Sep 28, 2022, 8:30 PM

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cerulean root how come? i understand that we are trying to get sinx/x

they mutliplied by theta/theta and 5/5 and 2/2

cerulean root Sep 28, 2022, 8:31 PM

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dire crypt they mutliplied by theta/theta and 5/5 and 2/2

yes

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but where is the theta on 5sin5t

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that was multiplied

dire crypt Sep 28, 2022, 8:32 PM

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cerulean root Sep 28, 2022, 8:35 PM

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i will try to understand

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thank you 🙏🏽

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.close

safe radishBOT Sep 28, 2022, 8:35 PM

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modest pike Sep 28, 2022, 8:39 PM

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How do I factor this?

safe radishBOT Sep 28, 2022, 8:39 PM

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modest pike How do I factor this?

obtuse plover Sep 28, 2022, 8:39 PM

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Is there any variable common to all of the terms?

modest pike Sep 28, 2022, 8:39 PM

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Yes

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a

obtuse plover Sep 28, 2022, 8:40 PM

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So factor that out

modest pike Sep 28, 2022, 8:40 PM

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But like the answer sheet has an answer that doesn’t have a common factor

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So that’s why I’m confused

obtuse plover Sep 28, 2022, 8:40 PM

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Can I see the answer on the sheet

modest pike Sep 28, 2022, 8:40 PM

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It’s (ab+a)(1-c)

obtuse plover Sep 28, 2022, 8:40 PM

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Alright let’s try this

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Split up the first two terms and the last two

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So a+ab and -ac-abc

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Then factor both of them individually, tell me what u get

modest pike Sep 28, 2022, 8:41 PM

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Ok

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So for a+ab

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Would it be a(1b)

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Idk

obtuse plover Sep 28, 2022, 8:43 PM

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that’d be a*1b which is ab

modest pike Sep 28, 2022, 8:43 PM

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Sorry a(1+b)

obtuse plover Sep 28, 2022, 8:43 PM

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We’re trying to get a+ab

obtuse plover Sep 28, 2022, 8:43 PM

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modest pike Sorry a(1+b)

Yes

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Now do the second part

modest pike Sep 28, 2022, 8:43 PM

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-ac(1+b)

obtuse plover Sep 28, 2022, 8:44 PM

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Perfect

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Now we have a(1+b) -ac(1+b)

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Because the insides of the parentheses are the same, we can combine what’s on the outside

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And it becomes (a-ac)(b+1)

modest pike Sep 28, 2022, 8:45 PM

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modest pike It’s (ab+a)(1-c)

But that’s different than this tho?

obtuse plover Sep 28, 2022, 8:45 PM

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Yes, thats right. However try factoring the first term again

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The (a-ac)

modest pike Sep 28, 2022, 8:46 PM

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So a(1+c)

obtuse plover Sep 28, 2022, 8:46 PM

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Nice

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Wait

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Check sign

modest pike Sep 28, 2022, 8:46 PM

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Sorry a(1-c)

obtuse plover Sep 28, 2022, 8:46 PM

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Ok so now we have a(1-c)(b+1)

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How would we get from here to the answer keys solution?

modest pike Sep 28, 2022, 8:47 PM

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Distribute a into brackets?

dire crypt Sep 28, 2022, 8:47 PM

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modest pike How do I factor this?

common ac from last 2 terms, and a from first 2

obtuse plover Sep 28, 2022, 8:47 PM

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modest pike Distribute a into brackets?

Try distributing it to the last term

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The (b+1)

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And see what u get

modest pike Sep 28, 2022, 8:48 PM

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So technically the answers (a-ac)(1+b) and (ab+a)(1-c) are the same thing?

obtuse plover Sep 28, 2022, 8:48 PM

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Yes

modest pike Sep 28, 2022, 8:48 PM

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Ahh ok

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Thank you !

obtuse plover Sep 28, 2022, 8:49 PM

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Np man

safe radishBOT Sep 28, 2022, 9:03 PM

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@modest pike Has your question been resolved?

safe radishBOT Sep 28, 2022, 9:18 PM

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ebon ibex Sep 28, 2022, 9:24 PM

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safe radishBOT Sep 28, 2022, 9:24 PM

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ebon ibex

ebon ibex Sep 28, 2022, 9:24 PM

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Hey was just wondering how I can save an answer

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And recall it

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Using my calculator

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Like memory recall and such

rigid inlet Sep 28, 2022, 9:36 PM

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M+ I think

safe radishBOT Sep 28, 2022, 9:41 PM

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@ebon ibex Has your question been resolved?

ebon ibex Sep 28, 2022, 9:42 PM

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ok an M pops up but how do I paste it

rigid inlet Sep 28, 2022, 9:43 PM

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I don't know that calculator specifically

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Mine handles memory quite differently

ebon ibex Sep 28, 2022, 9:44 PM

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shit now I've got an m stuck on my screen

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lmao

rigid inlet Sep 28, 2022, 9:45 PM

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Does M- not remove it?

ebon ibex Sep 28, 2022, 9:45 PM

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oddly no

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there is a memory button on 9 but just gives an error

outer apex Sep 28, 2022, 9:45 PM

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Get a nice Casio one

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I think 30€

ebon ibex Sep 28, 2022, 9:47 PM

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what's wrong with mine? sad_cat

outer apex Sep 28, 2022, 9:47 PM

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Idk looks like it’s bad

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Also saving values is apparently not straight forward

ebon ibex Sep 28, 2022, 9:50 PM

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well crap

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i will try and figure it out thanks

peak estuary Sep 28, 2022, 9:50 PM

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you could read the manual

ebon ibex Sep 28, 2022, 9:51 PM

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perhaps

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I don't have one

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maybe online will

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I think m saves it but I am trying to paste now

safe radishBOT Sep 28, 2022, 9:56 PM

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ebon ibex Sep 28, 2022, 9:56 PM

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.close

safe radishBOT Sep 28, 2022, 9:57 PM

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zinc creek Sep 28, 2022, 10:00 PM

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hlep

safe radishBOT Sep 28, 2022, 10:00 PM

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zinc creek hlep

zinc creek Sep 28, 2022, 10:01 PM

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<@&286206848099549185> what do i call a thing that is inf like 3+4k=4k+3

white oak Sep 28, 2022, 10:01 PM

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Commutative property

zinc creek Sep 28, 2022, 10:02 PM

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is there a shorter thing?

white oak Sep 28, 2022, 10:02 PM

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No

zinc creek Sep 28, 2022, 10:02 PM

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ok

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so i would write that?

white oak Sep 28, 2022, 10:02 PM

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?

zinc creek Sep 28, 2022, 10:02 PM

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for the answer

outer apex Sep 28, 2022, 10:02 PM

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zinc creek <@&286206848099549185> what do i call a thing that is inf like 3+4k=4k+3

What do you mean with inf? What you wrote there is just an equality like 5=5

white oak Sep 28, 2022, 10:03 PM

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outer apex Sep 28, 2022, 10:03 PM

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zinc creek <@&286206848099549185> what do i call a thing that is inf like 3+4k=4k+3

This equation you wrote holds for all k

zinc creek Sep 28, 2022, 10:03 PM

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so u can write anything for k it would be the same

outer apex Sep 28, 2022, 10:03 PM

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Yes

zinc creek Sep 28, 2022, 10:03 PM

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ok

white oak Sep 28, 2022, 10:03 PM

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OHH

outer apex Sep 28, 2022, 10:03 PM

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The value would be different

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But the equality holds

white oak Sep 28, 2022, 10:03 PM

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I thought like 3+5=5+3

outer apex Sep 28, 2022, 10:04 PM

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zinc creek <@&286206848099549185> what do i call a thing that is inf like 3+4k=4k+3

k = 1:
7=7

k = 2:
11=11

Etc.

white oak Sep 28, 2022, 10:05 PM

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zinc creek <@&286206848099549185> what do i call a thing that is inf like 3+4k=4k+3

Oh for all real numbers k

safe radishBOT Sep 28, 2022, 10:18 PM

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@zinc creek Has your question been resolved?

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worthy atlas Sep 28, 2022, 10:31 PM

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"how can 5 blue balloons, 4 green balloons, and 3 red balloons be arranged"

safe radishBOT Sep 28, 2022, 10:31 PM

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worthy atlas "how can 5 blue balloons, 4 green balloons, and 3 red balloons be arranged"

worthy atlas Sep 28, 2022, 10:31 PM

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Not sure how to solve this

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12! is definitely too high

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im thinking maybe i have to do something like 3 times 3 times 3, for the 3 red balloons and then 2 times 2 times 2 times 2 for the green balloons and then 5^5 for the blue balloons

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wait no

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3^3 because there's 3 balloon slots that could be any colour, and then there'll be 4 slots that can be green so multiply by 2?

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im not sure tbh

foggy salmon Sep 28, 2022, 10:39 PM

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um

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im guessin

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balloons of the same color r identical?

worthy atlas Sep 28, 2022, 10:40 PM

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yes

toxic stratus Sep 28, 2022, 10:40 PM

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the goddess has arrived

foggy salmon Sep 28, 2022, 10:40 PM

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hi snu

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QUEEEN

toxic stratus Sep 28, 2022, 10:40 PM

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❄️

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notice how

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for every arrangement

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its possible to permute say the 5 blue balloons

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but because theyre indistinguishable

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all of those permutations are actually the same arrangement

worthy atlas Sep 28, 2022, 10:41 PM

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yes

toxic stratus Sep 28, 2022, 10:41 PM

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so we need to divide out the repeats if we were to just blindly permute everything

unreal dock Sep 28, 2022, 10:41 PM

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you have 12 ballons, there are 12choose5 ways to arrange the blue balloons, this leaves 7 places. Now there is 7choose4 ways to arrange the green balloons, leaving 3 spaces left. Now there are 3choose3 ways for the red balloons to be arranged

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so the total number of ways is 12choose5 * 7choose4 * 3choose3

toxic stratus Sep 28, 2022, 10:42 PM

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there is

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a very straightforward way of doing this

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without the iterated binomial coefficients

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the strategy is to just blindly permute

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then divide out the repeats

worthy atlas Sep 28, 2022, 10:43 PM

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unreal dock so the total number of ways is 12choose5 * 7choose4 * 3choose3

these r the 4 options

unreal dock Sep 28, 2022, 10:43 PM

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there is another way but i find this to be the most straight forward

toxic stratus Sep 28, 2022, 10:43 PM

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its asymmetrical

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so in my eyes it is morally the incorrect way

worthy atlas Sep 28, 2022, 10:43 PM

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12P5 * 7P4 * 3P3 = 479 001 600

toxic stratus Sep 28, 2022, 10:44 PM

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so first

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we blindly permute the 12 objects

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thats 12!

worthy atlas Sep 28, 2022, 10:44 PM

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yes

toxic stratus Sep 28, 2022, 10:44 PM

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now the 5 blue balloons can be permuted in 5! ways

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but we dont distinguish between them

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so we divide out 5!

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same goes for the 4 green and 3 red

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so the answer is simply

flat frigateBOT Sep 28, 2022, 10:45 PM

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worthy atlas Sep 28, 2022, 10:45 PM

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why do we multiply 5! 4! and 3!

toxic stratus Sep 28, 2022, 10:45 PM

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divide*

worthy atlas Sep 28, 2022, 10:45 PM

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i mean like why do we divide all those by 12 together

toxic stratus Sep 28, 2022, 10:46 PM

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because we dont distinguish between the 5! permutations of the 5 blue balloons

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they are one and the same arrangement

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since they are indistinguishable

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so there are 5! copies of each arrangement if you will

unreal dock Sep 28, 2022, 10:46 PM

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worthy atlas 12P5 * 7P4 * 3P3 = 479 001 600

=27720*

toxic stratus Sep 28, 2022, 10:47 PM

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same goes for the 4 green balloons

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there are 4! copies of the same arrangement because we can permute the 4 green balloons 4! ways

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and then the 3 red ones

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so we divide out the copies

worthy atlas Sep 28, 2022, 10:47 PM

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ok i think i get it now

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thank you

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.close

safe radishBOT Sep 28, 2022, 10:47 PM

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next phoenix Sep 28, 2022, 10:57 PM

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what is y^a * y^b

safe radishBOT Sep 28, 2022, 10:57 PM

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next phoenix what is y^a * y^b

next phoenix Sep 28, 2022, 10:58 PM

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.close

safe radishBOT Sep 28, 2022, 10:58 PM

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safe radishBOT Sep 29, 2022, 12:42 AM

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dense island Sep 29, 2022, 12:48 AM

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I think these 2 are saying completly diffrent stuff and the one that I underlined with red confused normal distribution with standard normal distribution.... can I please have confirmation? Im pretty confused..

safe radishBOT Sep 29, 2022, 12:48 AM

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dense island I think these 2 are saying completly diffrent stuff and the one that I underline...

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@dense island Has your question been resolved?

dense island Sep 29, 2022, 1:04 AM

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<@&286206848099549185>

dense island Sep 29, 2022, 1:22 AM

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<@&286206848099549185>

safe radishBOT Sep 29, 2022, 1:52 AM

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@dense island Has your question been resolved?

safe radishBOT Sep 29, 2022, 2:54 AM

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@dense island Has your question been resolved?

safe radishBOT Sep 29, 2022, 3:54 AM

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safe radishBOT Sep 29, 2022, 2:00 PM

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heavy birch Sep 29, 2022, 2:07 PM

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safe radishBOT Sep 29, 2022, 2:07 PM

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heavy birch

heavy birch Sep 29, 2022, 2:07 PM

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Need to find x using sin or cos theorem

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But the thing is that those theoremas only works with triangles so i have to make a triangle from the trapezoid?

thin bridge Sep 29, 2022, 2:16 PM

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yes

heavy birch Sep 29, 2022, 2:19 PM

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can u draw how to make it?

thin bridge Sep 29, 2022, 2:21 PM

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heavy birch Sep 29, 2022, 2:21 PM

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ok and what now?

thin bridge Sep 29, 2022, 2:21 PM

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use trig

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and set up some equations

heavy birch Sep 29, 2022, 2:21 PM

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can u help me doing it?

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blue ones are (12-x)/2 , right?

thin bridge Sep 29, 2022, 2:22 PM

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yes,
would you be able to express it in another way using the 50° triangle?

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i.e. focusing on just this triangle, blue = ? (in terms of x)

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heavy birch Sep 29, 2022, 2:28 PM

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y im working, pls wait

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ok i get this

thin bridge Sep 29, 2022, 2:34 PM

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looks ok

heavy birch Sep 29, 2022, 2:35 PM

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wait i got another idea

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solving it with cos theorema

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nah this doesnt work

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can u tell me solution?

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aproximately i get that x=5,25

safe radishBOT Sep 29, 2022, 3:11 PM

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@heavy birch Has your question been resolved?

safe radishBOT Sep 29, 2022, 3:53 PM

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@heavy birch Has your question been resolved?

safe radishBOT Sep 29, 2022, 4:54 PM

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@heavy birch Has your question been resolved?

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ivory gate Sep 29, 2022, 5:00 PM

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Hey calculus question here! I have 2 derivatives, one is an explicit [y=2x (from y = x^2)] and one is implicit [(-x+6)/(-3+y) (from (x-6)^2 + (y-3)^2 = 16)]. How would I find there the gradients are parallel to each other?

safe radishBOT Sep 29, 2022, 5:00 PM

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ivory gate Hey **calculus question** here! I have 2 derivatives, one is an explicit [`y=2x`...

split ether Sep 29, 2022, 5:09 PM

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Just set the derivatives equal

ivory gate Sep 29, 2022, 5:11 PM

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split ether Just set the derivatives equal

Yeah but one has x and y in it

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Does it equal to 16 too?

split ether Sep 29, 2022, 5:11 PM

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It's fine if the equation has both x and y

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That equation still represents the points that you're looking for

ivory gate Sep 29, 2022, 5:12 PM

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$2x = \frac{-x+6}{-3+y}$

flat frigateBOT Sep 29, 2022, 5:12 PM

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mchw

ivory gate Sep 29, 2022, 5:12 PM

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split ether It's fine if the equation has both x and y

the solve for x?

split ether Sep 29, 2022, 5:12 PM

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or y, as you wish

ivory gate Sep 29, 2022, 5:18 PM

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I got $x = \frac{6}{2y-5}$

flat frigateBOT Sep 29, 2022, 5:18 PM

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mchw

ivory gate Sep 29, 2022, 5:18 PM

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split ether or y, as you wish

This doesnt seem appropriate

green lichen Sep 29, 2022, 5:20 PM

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remember at the beginning

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you said y=x^2

ivory gate Sep 29, 2022, 5:21 PM

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green lichen you said y=x^2

Does it work like that? Can i just sub it in

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Uhhh i got a cubic...

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-2x^3 + 5x +6 = 0

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Any neat tricks to solve this?

green lichen Sep 29, 2022, 5:37 PM

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look at the last number

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and see if any of its factors give you 0

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so try x= (+-) 1,2,3,6

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if any gives you 0, then it’s a factor

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then you can use that to divide and find other factors

safe radishBOT Sep 29, 2022, 5:43 PM

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@ivory gate Has your question been resolved?

safe radishBOT Sep 29, 2022, 5:58 PM

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main carbon Sep 29, 2022, 6:04 PM

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safe radishBOT Sep 29, 2022, 6:04 PM

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main carbon

main carbon Sep 29, 2022, 6:04 PM

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How to find the equation of the derivative?

safe radishBOT Sep 29, 2022, 6:19 PM

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@main carbon Has your question been resolved?

main carbon Sep 29, 2022, 6:33 PM

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<@&286206848099549185>

obtuse plover Sep 29, 2022, 6:37 PM

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@main carbon still need help?

main carbon Sep 29, 2022, 6:37 PM

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Yes

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@obtuse plover

obtuse plover Sep 29, 2022, 6:38 PM

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Ok so what do u know abt a horizontal tangent

main carbon Sep 29, 2022, 6:38 PM

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They have a slope of 0

obtuse plover Sep 29, 2022, 6:38 PM

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Yes

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So another way we can find horizontal tangents on graph of f is to find where f’ = 0

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Do u know how to do this

main carbon Sep 29, 2022, 6:39 PM

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I don’t think so

obtuse plover Sep 29, 2022, 6:39 PM

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So if we have the graph of f’

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How do we find where f’(x)=0?

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Perhaps rephrasing it may help

main carbon Sep 29, 2022, 6:40 PM

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You look at zero

obtuse plover Sep 29, 2022, 6:40 PM

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Yes

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Well

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The x-axis, more specifically

main carbon Sep 29, 2022, 6:40 PM

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On the x value and then look at the ys at zero

obtuse plover Sep 29, 2022, 6:40 PM

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So based on ur graph, where is f’=0

main carbon Sep 29, 2022, 6:41 PM

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Is it -1?

obtuse plover Sep 29, 2022, 6:41 PM

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That’s one of them

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There are a few more

main carbon Sep 29, 2022, 6:41 PM

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4?

obtuse plover Sep 29, 2022, 6:42 PM

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That’s another

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Keep going

main carbon Sep 29, 2022, 6:42 PM

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8, -7

obtuse plover Sep 29, 2022, 6:42 PM

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There u go

main carbon Sep 29, 2022, 6:42 PM

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So -7,-1,4,8?

obtuse plover Sep 29, 2022, 6:42 PM

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Yes

main carbon Sep 29, 2022, 6:43 PM

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Is that it

obtuse plover Sep 29, 2022, 6:43 PM

#

Are there any more places where f’(x)=0?

main carbon Sep 29, 2022, 6:43 PM

#

I don’t think so

obtuse plover Sep 29, 2022, 6:43 PM

#

Then there’s ur answer

main carbon Sep 29, 2022, 6:44 PM

#

Oh

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Okay thank you so much

#

.close

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shadow steeple Sep 29, 2022, 6:47 PM

#

What is the contrapositives of this statement: Let a, b, c ∈ Z. If a|b and a|c, then a|(b + c).

safe radishBOT Sep 29, 2022, 6:47 PM

#

shadow steeple What is the contrapositives of this statement: Let a, b, c ∈ Z. If a|b and a|c,...

shadow steeple Sep 29, 2022, 6:48 PM

#

would it be if a does not divides (b+c) then a does not divide b and a does not divides c?

#

hey

#

pls

#

<@&286206848099549185>

nova creek Sep 29, 2022, 7:14 PM

#

There's a symbol for "doesn't divide"

#

It's like | but with a line through it, kinda like ≠

safe radishBOT Sep 29, 2022, 7:23 PM

#

@shadow steeple Has your question been resolved?

shadow steeple Sep 29, 2022, 7:30 PM

#

nova creek There's a symbol for "doesn't divide"

ok so i have the right answer than?

nova creek Sep 29, 2022, 7:32 PM

#

Oh you're asking for contrapositives

#

Sorry I didn't read clearly 😭

#

Lemme check

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No

#

The negation of (a|b and a|c) is not (a doesn't divide b and a doesn't divide c)

#

Remember demorgans laws

shadow steeple Sep 29, 2022, 7:42 PM

#

nova creek Oh you're asking for contrapositives

so would the contrapositives be a does not /b and a does not divide be so a does not /(b+c)

nova creek Sep 29, 2022, 7:42 PM

#

The contrapositive of p -> q is ~q -> ~p

nova creek Sep 29, 2022, 7:43 PM

#

nova creek The negation of (a|b and a|c) is not (a doesn't divide b and a doesn't divide c)

.

shadow steeple Sep 29, 2022, 7:48 PM

#

nova creek The contrapositive of p -> q is ~q -> ~p

so the contrapositive is a doesnt divide b and a doesnt divide c

nova creek Sep 29, 2022, 7:49 PM

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No

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You have the contrapositive right, except you didn't negate p correctly

shadow steeple Sep 29, 2022, 7:49 PM

#

but isnt that the opposite

nova creek Sep 29, 2022, 7:49 PM

#

nova creek The negation of (a|b and a|c) is not (a doesn't divide b and a doesn't divide c)

.....

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Remember DeMorgan

shadow steeple Sep 29, 2022, 7:50 PM

#

p in this case is a/b and a/c right?

nova creek Sep 29, 2022, 7:50 PM

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Yes

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The negation of "a and b" isn't "not a and not b"

shadow steeple Sep 29, 2022, 7:51 PM

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? how

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doesnt negate mean the oppoosite

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would it be b does not divide a and c does not dived a?

shadow steeple Sep 29, 2022, 7:56 PM

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nova creek Yes

^

nova creek Sep 29, 2022, 8:08 PM

#

What are DeMorgan's laws @shadow steeple

shadow steeple Sep 29, 2022, 8:08 PM

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i mean a doesnt divide b or a doesnt divide c?

nova creek Sep 29, 2022, 8:08 PM

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Yes

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It should be "or"

nova creek Sep 29, 2022, 8:09 PM

#

shadow steeple would it be if a does not divides (b+c) then a does not divide b and a does not ...

This is correct, but it should be "or"

shadow steeple Sep 29, 2022, 8:10 PM

#

ok so the answer would be a doesnt divide b+c then a doesnt divide b or a doesnt divide c?

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as the full contrapositive

nova creek Sep 29, 2022, 8:10 PM

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Yes

shadow steeple Sep 29, 2022, 8:12 PM

#

I wish to become like you one day Dio

#

Extremely intelligent gamer weeb

shadow steeple Sep 29, 2022, 8:13 PM

#

nova creek Yes

anyway thanks again see you next time!!:)

#

.close

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vale coral Sep 29, 2022, 8:18 PM

#

safe radishBOT Sep 29, 2022, 8:18 PM

#

vale coral

vale coral Sep 29, 2022, 8:18 PM

#

what would be the best way to go about this

#

need to see why they have or have not the properties of reflexivem symmetric, anti symmetric and transitive

final halo Sep 29, 2022, 8:21 PM

#

it might help you to just view each person as being represented by the number that is their height and then (a,b) [heights of person a and b] is in R iff a >= b

vale coral Sep 29, 2022, 8:22 PM

#

so i make a new variable h

#

im not sure how to prove its reflective though

final halo Sep 29, 2022, 8:25 PM

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well is a person at least as tall as themself?

vale coral Sep 29, 2022, 8:25 PM

#

yes

final halo Sep 29, 2022, 8:25 PM

#

so reflexive

vale coral Sep 29, 2022, 8:26 PM

#

how would i write that down

final halo Sep 29, 2022, 8:27 PM

#

height of a >= height of a

vale coral Sep 29, 2022, 8:28 PM

#

so just for object in relation R
a >= a

final halo Sep 29, 2022, 8:28 PM

#

sure

vale coral Sep 29, 2022, 8:29 PM

#

does that prove that it is reflective

#

sorry for my Clueless but im really shit at proofs

final halo Sep 29, 2022, 8:30 PM

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well you just need to justify that (a,a) is in R for all a

vale coral Sep 29, 2022, 8:30 PM

#

how will that work

final halo Sep 29, 2022, 8:30 PM

#

we've just gone through it

#

what does it mean for (a,a) to be in R

vale coral Sep 29, 2022, 8:31 PM

#

a is as tall as someone in a

#

or as tall as themselves

#

wait so my answer for if it is reflective or not is just
a is in set A, a >= a, a is in set R?

#

therefore its reflective?

safe radishBOT Sep 29, 2022, 8:47 PM

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#

flat frigateBOT Sep 29, 2022, 8:51 PM

#

Alix
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

obsidian oracle Sep 29, 2022, 8:53 PM

#

hello, you have to use the recurrence principle (or induction principle, whatever you call it)

#

Also I'm noticing some french words amongst the english ones xd

#

On peut faire en français stv

#

ok t'as quoi comme valeur de C0 ? ensuite on pourra faire la récurrence

#

tu peux me donner la def de Cn ?

#

ok

#

Donc

#

tu veux qu'on commence par quoi ?

#

donc montrer la formule Cn = (2n n) - (2n n-1)

#

alors, récurrence = initialisation + hérédité

#

ah bah

#

on est d'accord que les nombres de la forme k parmi n sont entiers ?

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xd

#

idem par récurrence

#

ah non j'ai rien dit

#

juste une récurrence bête et méchante

#

mais simple

#

je traite pas l'initialisation parce que voilà c'est 1 = 1 - 0 quoi
donc hérédité : soit h dans N tel que P(h) est vraie.
soient i,j tels que i+j = h+1 et j =< i

#

distingue les cas i=j, i=0 et le reste (0<i<j), tu pourras appliquer la relation ai,j = ai,j-1 + ai-1,j

#

et tiens donc ! i + (j-1) = (i-1) + j = h

#

sacré coup de bol, on se sert de P(h)

#

un peu de calcul et ça devrait être bon

#

de rien

safe radishBOT Sep 29, 2022, 9:26 PM

#

@green tapir Has your question been resolved?

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prime frost Sep 29, 2022, 9:31 PM

#

safe radishBOT Sep 29, 2022, 9:31 PM

#

prime frost

prime frost Sep 29, 2022, 9:31 PM

#

Is this 56°?

tardy mango Sep 29, 2022, 9:31 PM

#

,w find 2(2x+8) if 2x+8=4x-12

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prime frost Sep 29, 2022, 9:32 PM

#

Thank toy

#

You

safe radishBOT Sep 29, 2022, 9:47 PM

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@prime frost Has your question been resolved?

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white jackal Sep 29, 2022, 10:08 PM

#

safe radishBOT Sep 29, 2022, 10:08 PM

#

white jackal

white jackal Sep 29, 2022, 10:08 PM

#

im still confused on this

idle parrot Sep 29, 2022, 10:12 PM

#

did you use this?

white jackal Sep 29, 2022, 10:16 PM

#

no what is that

#

can you explain

idle parrot Sep 29, 2022, 10:19 PM

#

https://m.youtube.com/watch?v=ndqxxAUDF5Y

YouTube

The Organic Chemistry Tutor

Exterior Angle Theorem For Triangles, Practice Problems - Geometry

This geometry video tutorial provides a basic introduction into the exterior angle theorem for triangles. It explains how to use it solve for x and y. It describes the difference between interior angles and exterior angles as well as the remote interior angles. It contains plenty of examples and practice problems.

My E-Book: https://amzn.t...

▶ Play video

white jackal Sep 29, 2022, 10:23 PM

#

i got it

#

thanks

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.close

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jolly cargo Sep 29, 2022, 10:26 PM

#

Given this equation, I need to find n values of k where each value of k is equal to the same value of f(k).

safe radishBOT Sep 29, 2022, 10:26 PM

#

jolly cargo Given this equation, I need to find n values of k where each value of k is equal...

jolly cargo Sep 29, 2022, 10:26 PM

#

$f(k) = ((2971k + 101923) \mod 128189) \mod n$

flat frigateBOT Sep 29, 2022, 10:26 PM

#

aiden

jolly cargo Sep 29, 2022, 10:27 PM

#

I am completely lost on where to begin here or if it is even possible to do algebraically.

safe radishBOT Sep 29, 2022, 10:42 PM

#

@jolly cargo Has your question been resolved?

jolly cargo Sep 29, 2022, 10:42 PM

#

<@&286206848099549185> PepeHands

#

I can explain more if there's any confusion.

jolly cargo Sep 29, 2022, 11:01 PM

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.close

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vale swan Sep 29, 2022, 11:15 PM

#

statistics/probability. i completely forgot how to do this and i cant find it in my notes. any guidance? ignore B i just need guidance for A

safe radishBOT Sep 29, 2022, 11:15 PM

#

vale swan statistics/probability. i completely forgot how to do this and i cant find it in...

drowsy moss Sep 29, 2022, 11:18 PM

#

it's asking about expectation of a binomial distribution

#

if you know the probability of an event is p, and there are n trials, then the expectation is np

#

the number of trials expected to result in that event

vale swan Sep 29, 2022, 11:19 PM

#

so .553*300?

drowsy moss Sep 29, 2022, 11:20 PM

#

yep

vale swan Sep 29, 2022, 11:20 PM

#

o wow

#

TYSM

#

.close

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frail jungle Sep 29, 2022, 11:34 PM

#

safe radishBOT Sep 29, 2022, 11:34 PM

#

frail jungle

flat frigateBOT Sep 29, 2022, 11:38 PM

#

Wilder

frail jungle Sep 29, 2022, 11:40 PM

#

So it’s y=3/4x -5 ?

somber pier Sep 29, 2022, 11:41 PM

#

Not quite

frail jungle Sep 29, 2022, 11:41 PM

#

Ummmm

somber pier Sep 29, 2022, 11:42 PM

#

You may have misunderstood the problem

frail jungle Sep 29, 2022, 11:42 PM

#

Yea

#

23/4

#

Is b?

somber pier Sep 29, 2022, 11:48 PM

#

Yeah

frail jungle Sep 29, 2022, 11:48 PM

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Thanks

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.close

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dreamy finch Sep 29, 2022, 11:57 PM

#

could someone help me out with this one please:

safe radishBOT Sep 29, 2022, 11:57 PM

#

dreamy finch could someone help me out with this one please:

dreamy finch Sep 29, 2022, 11:57 PM

#

I think i know how to do A. A is just the prob of getting 1 head, right? So that would be (.6)(.7)+(.4)(.3)=.54

#

I dont really understand Expectations though, especially in this context

#

please @ me if anyone responds

#

Is B .9?

#

.close

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crystal yarrow Sep 30, 2022, 12:28 AM

#

How to solve this?

safe radishBOT Sep 30, 2022, 12:28 AM

#

crystal yarrow How to solve this?

crystal yarrow Sep 30, 2022, 12:29 AM

#

wouldn't it be 1-(45000/52000)^(1/32)

compact ferry Sep 30, 2022, 12:35 AM

#

45000 = 52000 * x^32

crystal yarrow Sep 30, 2022, 12:42 AM

#

how would I input in my calc? ti-84

compact ferry Sep 30, 2022, 12:43 AM

#

(45000/52000)^1/32

#

you almost got it before

crystal yarrow Sep 30, 2022, 12:50 AM

#

wait then how is the ans this

#

compact ferry Sep 30, 2022, 12:51 AM

#

,w (45000/52000)^1/32

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compact ferry Sep 30, 2022, 12:51 AM

#

huh

crystal yarrow Sep 30, 2022, 12:51 AM

#

ig my teacher put the wrong ans?

compact ferry Sep 30, 2022, 12:52 AM

#

what is the time period?

#

like its not said in the question that it should be monthly

#

is it monthly?

crystal yarrow Sep 30, 2022, 12:53 AM

#

i guess so

compact ferry Sep 30, 2022, 12:54 AM

#

,w (45000/52000)^1/(32/12)

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compact ferry Sep 30, 2022, 12:55 AM

#

period is yearly

#

,w (1- (45000/52000)^1/(32/12))*100

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compact ferry Sep 30, 2022, 12:55 AM

#

you were right about the 1- actually

#

sorry about that

crystal yarrow Sep 30, 2022, 12:56 AM

#

its okay I found a video

#

thank you for the help

#

.close

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halcyon saddle Sep 30, 2022, 12:57 AM

#

Cant to understand

safe radishBOT Sep 30, 2022, 12:57 AM

#

halcyon saddle Cant to understand

#

Please don't occupy multiple help channels.

halcyon saddle Sep 30, 2022, 12:58 AM

#

Its my hw

#

safe radishBOT Sep 30, 2022, 1:13 AM

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@halcyon saddle Has your question been resolved?

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twin patio Sep 30, 2022, 2:27 AM

#

I need help with this problem

safe radishBOT Sep 30, 2022, 2:27 AM

#

twin patio I need help with this problem

foggy salmon Sep 30, 2022, 2:28 AM

#

ok so

#

u want to find P(n)

#

u know

#

P(22)=280

#

P(40)=1000

#

so u can use equations of a line and find that line to find P

twin patio Sep 30, 2022, 2:34 AM

#

p=40n ?

foggy salmon Sep 30, 2022, 2:34 AM

#

um

#

no

#

i meant like

#

P would be some linear eq

#

like

#

P(n) = an+b

safe radishBOT Sep 30, 2022, 2:49 AM

#

@twin patio Has your question been resolved?

safe radishBOT Sep 30, 2022, 3:04 AM

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prime nacelle Sep 30, 2022, 3:27 AM

#

why isnt it, $$b^4+b^2-5-(-b^4-b^2-5)$$

safe radishBOT Sep 30, 2022, 3:27 AM

#

prime nacelle why isnt it, $$b^4+b^2-5-(-b^4-b^2-5)$$

flat frigateBOT Sep 30, 2022, 3:27 AM

#

Mothy

pliant pendant Sep 30, 2022, 3:29 AM

#

because (-b)⁴ ≠ -b⁴ and (-b)² ≠ -b²

prime nacelle Sep 30, 2022, 3:29 AM

#

.close

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polar surge Sep 30, 2022, 3:30 AM

#

hello i dont understand this question. I understand how to find the answer 9, but im not sure what the second half of the answer is supposed to be. Does anyone know? this is for my precalc class (this is an exam review question)

safe radishBOT Sep 30, 2022, 3:37 AM

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stuck spire Sep 30, 2022, 3:40 AM

#

safe radishBOT Sep 30, 2022, 3:40 AM

#

stuck spire

tranquil tendon Sep 30, 2022, 3:43 AM

#

first step is change variable, u = ln x

#

du = 1/x dx

#

then trig substitution

#

actually u = 6 ln x might be a better substitution

#

then du = 6/x dx and you end up with $\int \frac{1}{\sqrt{7^2 - u^2}} du$ which is a fairly straightforward trig sub

flat frigateBOT Sep 30, 2022, 3:47 AM

#

rome of oxtrot

burnt bloom Sep 30, 2022, 3:50 AM

#

stuck spire

move 6 out
let u1 = ln(x) , du1 = 1/xdx. Rewrite
let u2 = 6u1, du2 = 6du1
simplify and sub in

safe radishBOT Sep 30, 2022, 3:55 AM

#

@stuck spire Has your question been resolved?

stuck spire Sep 30, 2022, 3:57 AM

#

thank you

lean otter Sep 30, 2022, 4:07 AM

#

burnt bloom 1) move 6 out 2) let u1 = ln(x) , du1 = 1/xdx. Rewrite 3) let u2 = 6u1, du2 ...

I really like your pfp!!

safe radishBOT Sep 30, 2022, 4:10 AM

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#

stray bluff Sep 30, 2022, 4:28 AM

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I dont understand the question tbh

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wdym it gets straighter?

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Ok that makes sense but whats ur question then?

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ur already doing it no ?\

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Abs(Sin^-1(Opposite/Hypotenuse))

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wait why do u want this to be 0

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and not 90 ?

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are u not the light blue object looking towards the dark blue object?

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yea that makes sense bec ur angle is 90 at that moment

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just find the other angle then?

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wait

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if the blue part is the destination

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why dont u want it to be 90

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but u need to go directly upwards to get to the destination at that point

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does urs not work exactly like this?

#

what i dont understand is why u would want it to be 0 in this case

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bec if the destination is directly above

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isnt that what you'd need to do with ur model

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can u send a gif of how the angles should change for this model

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with it being on different y levels

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what happens in this model if the the white object is directly below the blue object ?

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i meant in the correct model

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here ur not moving the direction its facing but in the example gif u are

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if the y axis is the same then the angle will always be 0

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like ur not moving in the direction the object is facing

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ur just moving along the x axis

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ok im lost

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in this correct model what happens if the white obejct is directly below the blue object

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like in ur examples ur not moving in the direction the object is facing which is why u have the 90 degree tilt at the end

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in ur example gif u are moving in the direction the object is facing

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this doesnt make sense though whats the point of the angle at all in that case ?

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if ur just trying to get below it ?

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do 90 - (arcsin(opp/hypo)) then?

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its just 90-what u have now so its decreasing instead of increasing

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theres no point but u can if u want

safe radishBOT Sep 30, 2022, 5:14 AM

#

@lean otter Has your question been resolved?

safe radishBOT Sep 30, 2022, 5:31 AM

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green lichen Sep 30, 2022, 5:47 AM

#

@civic marsh

safe radishBOT Sep 30, 2022, 5:47 AM

#

green lichen <@218351799185178625>

civic marsh Sep 30, 2022, 5:48 AM

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ok

foggy salmon Sep 30, 2022, 5:48 AM

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hm

green lichen Sep 30, 2022, 5:48 AM

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I read your handwriting wrongly

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it’s >

civic marsh Sep 30, 2022, 5:48 AM

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yeap

green lichen Sep 30, 2022, 5:48 AM

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we have $2^{4x +3 -(1-x)} > 2^{3x}$

flat frigateBOT Sep 30, 2022, 5:49 AM

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duckiescute!

green lichen Sep 30, 2022, 5:49 AM

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maybe you can try simplify

civic marsh Sep 30, 2022, 5:49 AM

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that's ok, then I just have to...

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remove the bases

green lichen Sep 30, 2022, 5:49 AM

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yes

civic marsh Sep 30, 2022, 5:49 AM

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right?

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okok

green lichen Sep 30, 2022, 5:50 AM

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and isolate x

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holoYay

civic marsh Sep 30, 2022, 5:50 AM

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that's all? what about the sign ?

green lichen Sep 30, 2022, 5:50 AM

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unless you divide/multiply negative number

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it stays the same

#

civic marsh Sep 30, 2022, 5:50 AM

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okok, thank you!!!

green lichen Sep 30, 2022, 5:50 AM

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no prob!

#

.close

safe radishBOT Sep 30, 2022, 5:50 AM

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safe radishBOT Sep 30, 2022, 6:21 AM

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safe radishBOT Sep 30, 2022, 6:57 AM

#

thin bridge Sep 30, 2022, 7:03 AM

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consider what's happening with a smaller sample like 20

thin bridge Sep 30, 2022, 7:20 AM

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which 3

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do you notice anything special about those numbers

safe radishBOT Sep 30, 2022, 7:25 AM

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@lean otter Has your question been resolved?

lean otter Sep 30, 2022, 7:26 AM

#

Ooh they’re square numbers?

thin bridge Sep 30, 2022, 7:33 AM

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yes

safe radishBOT Sep 30, 2022, 7:39 AM

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lean otter Sep 30, 2022, 7:39 AM

#

That’s great thank you very much

safe radishBOT Sep 30, 2022, 7:40 AM

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lean otter Sep 30, 2022, 8:00 AM

#

thin bridge yes

Does that mean there will be 30 cells unlocked? If there’s 100 cells in total

safe radishBOT Sep 30, 2022, 8:00 AM

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lean otter Does that mean there will be 30 cells unlocked? If there’s 100 cells in total

thin bridge Sep 30, 2022, 8:00 AM

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no

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how are you getting 30

lean otter Sep 30, 2022, 8:01 AM

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I got 3 cells if there’s 10 in total so I just multiplied by 10 🤣 sorry I clearly can’t do maths

pliant pendant Sep 30, 2022, 8:02 AM

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The largest square below 10 is 9 which is just 3², while the largest square below 100 is 81 which is just 9²

thin bridge Sep 30, 2022, 8:02 AM

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I got 3 cells if there’s 10 in total so I just multiplied by 10 🤣 sorry I clearly can’t do maths
what happened to the consideration of perfect squares

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did that just go out the window?

lean otter Sep 30, 2022, 8:06 AM

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pliant pendant The largest square below 10 is 9 which is just 3², while the largest square belo...

Thanks this is helpful

#

So the answer is 10?

safe radishBOT Sep 30, 2022, 8:25 AM

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@lean otter Has your question been resolved?

lean otter Sep 30, 2022, 8:38 AM

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As in 10^2 = 100

thin bridge Sep 30, 2022, 8:48 AM

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yes

safe radishBOT Sep 30, 2022, 9:08 AM

#

@lean otter Has your question been resolved?

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Channel closed

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lean otter Sep 30, 2022, 9:08 AM

#

Lovely thank you sir xx

safe radishBOT Sep 30, 2022, 9:09 AM

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rare folio Sep 30, 2022, 9:33 AM

#

Hi, i have this function here.

safe radishBOT Sep 30, 2022, 9:33 AM

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rare folio Hi, i have this function here.

rare folio Sep 30, 2022, 9:34 AM

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They want me to define f(1) so that f becomes continuous in x = 1

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thinkingbread

foggy salmon Sep 30, 2022, 9:35 AM

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thinkies

rare folio Sep 30, 2022, 9:36 AM

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Do they just mean that i erase the (x-1) lol?

foggy salmon Sep 30, 2022, 9:36 AM

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just define it as the val it approaches

lean otter Sep 30, 2022, 9:36 AM

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yeah

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^

foggy salmon Sep 30, 2022, 9:36 AM

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rare folio Do they just mean that i erase the (x-1) lol?

YES

lean otter Sep 30, 2022, 9:36 AM

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should be 2.5

rare folio Sep 30, 2022, 9:36 AM

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Lmao

foggy salmon Sep 30, 2022, 9:36 AM

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LOL

rare folio Sep 30, 2022, 9:36 AM

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What the heck 💀

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I was like

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it can be this easy

foggy salmon Sep 30, 2022, 9:36 AM

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rare folio it can be this easy

YES

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IT CAN

rare folio Sep 30, 2022, 9:36 AM

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LMAO

foggy salmon Sep 30, 2022, 9:36 AM

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GOOD U KNEW

rare folio Sep 30, 2022, 9:36 AM

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hilarious

#

What an actual troll question

rare folio Sep 30, 2022, 9:36 AM

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foggy salmon GOOD U KNEW

LMAO

foggy salmon Sep 30, 2022, 9:37 AM

#

rin

rare folio Sep 30, 2022, 9:39 AM

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Lol

#

what a goofy question

#

ty guys

#

finally done, yippi

#

.close

safe radishBOT Sep 30, 2022, 9:39 AM

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lean otter Sep 30, 2022, 11:01 AM

#

help D:

safe radishBOT Sep 30, 2022, 11:01 AM

#

lean otter help D:

lean otter Sep 30, 2022, 11:01 AM

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i tried crossing out multiples of 63?

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the highest multiple of 63 is 945

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so i thought i would add 2 or 4

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im not sure anymore

safe radishBOT Sep 30, 2022, 11:17 AM

#

@lean otter Has your question been resolved?

lean otter Sep 30, 2022, 11:21 AM

#

<@&286206848099549185>

safe radishBOT Sep 30, 2022, 11:51 AM

#

@lean otter Has your question been resolved?

near flint Sep 30, 2022, 12:24 PM

#

lean otter the highest multiple of 63 is 945

maybe try like this
let the three digit number be x then
x - 2 = 7a
x - 4 = 9b
where a and b are some constant

you can get a relation between a and b
and you can set lower and upper limits to a and b using the “three digit number” condition

then ig we can do trial and error starting from the upper limits of a and b

lean otter Sep 30, 2022, 12:27 PM

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near flint maybe try like this let the three digit number be x then x - 2 = 7a x - 4 = 9...

its okay now ^^ i got it using lcm and modulo ^^

near flint Sep 30, 2022, 12:27 PM

#

ooo ok

safe radishBOT Sep 30, 2022, 1:27 PM

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@lean otter Has your question been resolved?

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safe radishBOT Sep 30, 2022, 3:37 PM

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full lotus Sep 30, 2022, 3:44 PM

#

if we have 2 matrixes A and B
A is R^4x3
B is R^3x1

the result of A.B is a matrix of ?

safe radishBOT Sep 30, 2022, 3:44 PM

#

full lotus if we have 2 matrixes A and B A is R^4x3 B is R^3x1 the result of A.B is a matr...

full lotus Sep 30, 2022, 3:45 PM

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4x3 and 3x1 ?

compact wraith Sep 30, 2022, 3:45 PM

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Ah ok

full lotus Sep 30, 2022, 3:45 PM

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sorry yeah

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In one place I read that the result of the product of two matrices will have as rows, the number of columns in the left, and as columns the number of columns in the right

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rightt?

compact wraith Sep 30, 2022, 3:45 PM

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Each row * column multiplication creates a new cell

full lotus Sep 30, 2022, 3:45 PM

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but in other places I read other things :/

compact wraith Sep 30, 2022, 3:46 PM

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there are 4 rows

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and 1 column

full lotus Sep 30, 2022, 3:46 PM

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full lotus if we have 2 matrixes A and B A is R^4x3 B is R^3x1 the result of A.B is a matr...

so in this case, it would be a 4x1 matrix?

lean otter Sep 30, 2022, 3:46 PM

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can anyone help me here no one wanna help me

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even in help channels

full lotus Sep 30, 2022, 3:47 PM

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?

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go to another help channel 😄

full lotus Sep 30, 2022, 3:47 PM

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compact wraith and 1 column

so R^4x1

full lotus Sep 30, 2022, 3:47 PM

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full lotus In one place I read that the result of the product of two matrices will have as ...

meaning this is ok

compact wraith Sep 30, 2022, 3:48 PM

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full lotus so R^4x1

yep

#

each row in the first matrix produces a cell, each column in the second produces a cell so there are 4*1 cells ie. its a $4\times 1$ matrix

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nice job

flat frigateBOT Sep 30, 2022, 3:49 PM

#

Max..

safe radishBOT Sep 30, 2022, 4:02 PM

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@full lotus Has your question been resolved?

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plain hedge Sep 30, 2022, 4:22 PM

#

is there any method that can help me solve guassian elimination more easier

safe radishBOT Sep 30, 2022, 4:22 PM

#

plain hedge is there any method that can help me solve guassian elimination more easier

plain hedge Sep 30, 2022, 4:23 PM

#

cuz there are some problems that I cant solve

compact wraith Sep 30, 2022, 4:23 PM

#

Well first of all rewrite it as a matrix

plain hedge Sep 30, 2022, 4:24 PM

#

#

I showed solution but I dont think I am really understanding it

compact wraith Sep 30, 2022, 4:24 PM

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Then I like to work from the top down but sometimes it makes more sense to swap rows

plain hedge Sep 30, 2022, 4:24 PM

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let me sceeen shot wat I did

compact wraith Sep 30, 2022, 4:24 PM

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You want to get a leading 1 on the top row

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so either move a row or divide by 5

compact ferry Sep 30, 2022, 4:25 PM

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fractions in a matrix will kill you lol

#

i would never recommend that

plain hedge Sep 30, 2022, 4:27 PM

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Idk if I can do this

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I tried coming up with a way simular to how u solve fractions but it just makes it more complicated

compact wraith Sep 30, 2022, 4:38 PM

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compact ferry i would never recommend that

sometimes no way round it

plain hedge Sep 30, 2022, 4:42 PM

#

idk wat to do anymore I practically going to fail this class

#

so many different ways to solve a problem and I have no clue why doing it a certain way is correct

compact wraith Sep 30, 2022, 4:44 PM

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plain hedge so many different ways to solve a problem and I have no clue why doing it a cert...

that's the beauty of linear algebra

#

dont view it as 1 way to solve, linear algebra there are loads and all correct

#

You know what row operations are @plain hedge ?

plain hedge Sep 30, 2022, 4:45 PM

#

compact wraith You know what row operations are <@301466996057571337> ?

swap, multiply,add?

compact wraith Sep 30, 2022, 4:45 PM

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plain hedge swap, multiply,add?

yeah

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Your goal is to make the first number in one of the rows equal to 1

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even if it means dividing by 5

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yes your working will be messy but there is no way around it

#

#

this would be my first step

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then you can minus the first row from the second twice

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and the same for the third row

#

and boom it is simplified slightly

#

#

then when u do that this is what the equations mean

#

see how that system is much simpler thanbefore?

#

Linear algebra doesn't exist, it is a nice for human friendly way of solving simultaneous equations

#

as it's easier to follow than 200 variables and gives a algorithmic approach rather than a random approach

safe radishBOT Sep 30, 2022, 5:00 PM

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@plain hedge Has your question been resolved?

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inland jay Sep 30, 2022, 5:31 PM

#

is this limit proof correct? i tried following a YT video. if its correct. how does it actually prove the limit?

safe radishBOT Sep 30, 2022, 5:31 PM

#

inland jay is this limit proof correct? i tried following a YT video. if its correct. how d...

past aurora Sep 30, 2022, 5:39 PM

#

I can't really follow this proof

#

I guess you're trying to find an M, given epsilon, so that for n>M the function is less than epsilon

#

?

#

But what's the value of M

safe radishBOT Sep 30, 2022, 5:46 PM

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@inland jay Has your question been resolved?

safe radishBOT Sep 30, 2022, 6:01 PM

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unkempt heart Sep 30, 2022, 6:13 PM

#

A water tube in the form of a cylinder with a length of 12 meters and a radius of 1 meter filling with water so that the height increases at a speed of 3/4m/h Find the rate of change in the surface area of the water when the height of the water becomes 1/2m

safe radishBOT Sep 30, 2022, 6:13 PM

#

unkempt heart A water tube in the form of a cylinder with a length of 12 meters and a radius o...

unkempt heart Sep 30, 2022, 6:13 PM

#

can someone show me how can i draw this

#

i don't need the answer just how to draw it

#

forget it ^

#

.close

safe radishBOT Sep 30, 2022, 6:23 PM

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queen terrace Sep 30, 2022, 6:34 PM

#

broo i dont know how to get the answer

safe radishBOT Sep 30, 2022, 6:34 PM

#

queen terrace broo i dont know how to get the answer

queen terrace Sep 30, 2022, 6:35 PM

#

i know how to complete the table but i dont know how to do the second answer

tribal sierra Sep 30, 2022, 6:36 PM

#

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$

flat frigateBOT Sep 30, 2022, 6:36 PM

#

VardhanR

tribal sierra Sep 30, 2022, 6:37 PM

#

flat frigate **VardhanR**

have you come across this b4? if not i'll explain in a different way

queen terrace Sep 30, 2022, 6:39 PM

#

i have but i dont understand

tribal sierra Sep 30, 2022, 6:45 PM

#

Okay, so, $(x_1, y_1)$ and $(x_2, y_2)$ are points that they have given. In this case, $(-1, 5)$ and $(1, 1)$ is what they have given. So here, $x_1 = -1, y_1 = 5, x_2 = 1$ and $y_2 = 1$. Substitute this in the eqn and solve for $y$.

flat frigateBOT Sep 30, 2022, 6:45 PM

#

VardhanR

tribal sierra Sep 30, 2022, 6:47 PM

#

tribal sierra Sep 30, 2022, 6:49 PM

#

queen terrace i have but i dont understand

So the eqn is used like this... when (x1, y1) and (x2, y2) (two points) are given, we can substitute those given values into this formula and rearrange the eqn to find "y".

queen terrace Sep 30, 2022, 6:50 PM

#

omg thank you broo

#

.close

safe radishBOT Sep 30, 2022, 6:50 PM

#

Channel closed

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lean otter Sep 30, 2022, 6:59 PM

#

I’m trying to find dr/rt

safe radishBOT Sep 30, 2022, 6:59 PM

#

lean otter I’m trying to find dr/rt

sharp nimbus Sep 30, 2022, 6:59 PM

#

Help me solve the 4th Q

lean otter Sep 30, 2022, 6:59 PM

#

To my understanding it is 12 - (1/1000)*1000 * 100 = -88

#

BRO

lean otter Sep 30, 2022, 7:00 PM

#

lean otter To my understanding it is 12 - (1/1000)*1000 * 100 = -88

But this won’t work idk why

#

<@&286206848099549185>

tribal sierra Sep 30, 2022, 7:28 PM

#

sharp nimbus Help me solve the 4th Q

,rotate

flat frigateBOT Sep 30, 2022, 7:28 PM

#

lean otter Sep 30, 2022, 7:28 PM

#

It’s not his channel

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I posted first

lean otter Sep 30, 2022, 7:28 PM

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lean otter I’m trying to find dr/rt

This is mine

tribal sierra Sep 30, 2022, 7:28 PM

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oh wait okay

lean otter Sep 30, 2022, 7:32 PM

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Do u l ow related rates

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Do you know

tribal sierra Sep 30, 2022, 7:32 PM

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not really

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idk how production is related to cost and revenue

lean otter Sep 30, 2022, 7:33 PM

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Okayyyyyy…

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<@&286206848099549185>

outer apex Sep 30, 2022, 7:34 PM

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It’s weekend sorry

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They don’t pay us for weekends

lean otter Sep 30, 2022, 7:35 PM

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I’m literally in school rn

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Lol

outer apex Sep 30, 2022, 7:35 PM

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Wow here it’s Friday 9:30 pm

lean otter Sep 30, 2022, 7:35 PM

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It’s 3:30 here

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My school gets out late

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Not till 4:15

tribal sierra Sep 30, 2022, 7:36 PM

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flat frigate

suppose rational number $a / b$ where $b\neq 0$ and $a,b$ are ints. notice that this satisfies the eq bx-a=0

flat frigateBOT Sep 30, 2022, 7:36 PM

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VardhanR

tribal sierra Sep 30, 2022, 7:37 PM

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@sharp nimbus

lean otter Sep 30, 2022, 7:37 PM

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Wow first he steals my channel next he gets an answer before me

tribal sierra Sep 30, 2022, 7:38 PM

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i know the ans to that one XD

lean otter Sep 30, 2022, 7:39 PM

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@outer apex can u really not help me regardless

outer apex Sep 30, 2022, 7:45 PM

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lean otter I’m trying to find dr/rt

dr/dt or dR/dx?

lean otter Sep 30, 2022, 7:45 PM

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Dr rt

outer apex Sep 30, 2022, 7:45 PM

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Then I don’t know because there’s no small r and nothing dependent on t

lean otter Sep 30, 2022, 7:46 PM

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How about dr dx

lean otter Sep 30, 2022, 7:46 PM

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outer apex Then I don’t know because there’s no small r and nothing dependent on t

Oh wait

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dR/dt

outer apex Sep 30, 2022, 7:46 PM

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dR/dx?

lean otter Sep 30, 2022, 7:46 PM

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No

outer apex Sep 30, 2022, 7:47 PM

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But R(x) is a function of x not t

lean otter Sep 30, 2022, 7:47 PM

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It says find the rate in revenue when production is 1000 switches per day

lean otter Sep 30, 2022, 7:47 PM

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outer apex But R(x) is a function of x not t

Tell me dR/dx then

outer apex Sep 30, 2022, 7:47 PM

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Did you already cover derivatives in school

lean otter Sep 30, 2022, 7:48 PM

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Yeah

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I know I have to take the derivatives of both sides and plug things in

outer apex Sep 30, 2022, 7:48 PM

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What is the derivative of 12x - x^2?

lean otter Sep 30, 2022, 7:48 PM

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lean otter To my understanding it is 12 - (1/1000)*1000 * 100 = -88

That’s how I got here

lean otter Sep 30, 2022, 7:48 PM

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outer apex What is the derivative of 12x - x^2?

12-2x

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Why?

outer apex Sep 30, 2022, 7:49 PM

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Idk you wanted me to tell you what it is

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So for your problem 12-2x/2000 = R‘(x)

lean otter Sep 30, 2022, 7:49 PM

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It’s supposed to be a number

outer apex Sep 30, 2022, 7:49 PM

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Plug in 1000 for x

lean otter Sep 30, 2022, 7:49 PM

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So

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11?

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Don’t I have to multiply by dx/dt?

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Bc implicit

outer apex Sep 30, 2022, 7:50 PM

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Or actually wait i need to read the question

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I don’t know business

outer apex Sep 30, 2022, 7:52 PM

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lean otter I’m trying to find dr/rt

Wtf does the sentence ‚Production is increasing at 100 switches per day when production is 1000 switches‘ mean

lean otter Sep 30, 2022, 7:52 PM

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Tbh idk

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Hold on

outer apex Sep 30, 2022, 7:54 PM

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Ok so let’s say production(x) = 100x + 1000

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Actually, no

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I don’t get the task yet

outer apex Sep 30, 2022, 7:55 PM

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outer apex Wtf does the sentence ‚Production is increasing at 100 switches per day when pro...

Do they mean ‚cost is increasing…‘ instead of production is increasing? Because that would make more sense

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Maybe it’s a typo

tribal sierra Sep 30, 2022, 7:57 PM

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outer apex Wtf does the sentence ‚Production is increasing at 100 switches per day when pro...

$\frac{\dd P}{\dd t}=100\vline_{x = 1000}$ i think

lean otter Sep 30, 2022, 7:57 PM

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I’m trying to upload a pic hold on

flat frigateBOT Sep 30, 2022, 7:58 PM

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VardhanR

outer apex Sep 30, 2022, 7:59 PM

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tribal sierra $\frac{\dd P}{\dd t}=100\vline_{x = 1000}$ i think

Yes maybe but we don’t have any info about production in the text at all. Only that x is the daily production

lean otter Sep 30, 2022, 8:00 PM

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Won’t upload sadly

tribal sierra Sep 30, 2022, 8:00 PM

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ohhhhh so production is "x"?

outer apex Sep 30, 2022, 8:00 PM

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Yep

tribal sierra Sep 30, 2022, 8:00 PM

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ohhh yaa

outer apex Sep 30, 2022, 8:02 PM

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lean otter I’m trying to find dr/rt

They talk about increase in production and in the sentence about increase in cost I think production is a typo

tribal sierra Sep 30, 2022, 8:02 PM

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given
C(x)
R(x)
dx / dt at x = 1000
find dC / dt at x = 1000

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this is what i interpreted

outer apex Sep 30, 2022, 8:04 PM

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tribal sierra given C(x) R(x) dx / dt at x = 1000 find dC / dt at x = 1000

x is a variable

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t is nonexistent in this exercise

tribal sierra Sep 30, 2022, 8:04 PM

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so find dC / dx at x = 1000 and do that times (dx / dt at x = 1000)

tribal sierra Sep 30, 2022, 8:05 PM

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outer apex t is nonexistent in this exercise

the final ans would be dC / dt so time is relevant rgt?

outer apex Sep 30, 2022, 8:06 PM

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No x is just daily switch production we don’t need to introduce a t

tribal sierra Sep 30, 2022, 8:07 PM

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t is time

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and the final ans has "per day"

outer apex Sep 30, 2022, 8:07 PM

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Yes but we don’t need to introduce time as a new variable

outer apex Sep 30, 2022, 8:07 PM

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tribal sierra and the final ans has "per day"

x is already per day

tribal sierra Sep 30, 2022, 8:08 PM

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ohhh right

outer apex Sep 30, 2022, 8:09 PM

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Yeah I don’t understand the exercise I think it’s badly worded

tribal sierra Sep 30, 2022, 8:09 PM

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same

outer apex Sep 30, 2022, 8:10 PM

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lean otter I’m trying to find dr/rt

@wide finch

safe radishBOT Sep 30, 2022, 8:15 PM

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@lean otter Has your question been resolved?

safe radishBOT Sep 30, 2022, 8:30 PM

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lean otter Sep 30, 2022, 8:54 PM

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safe radishBOT Sep 30, 2022, 8:54 PM

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lean otter

lean otter Sep 30, 2022, 8:54 PM

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@outer apex found this on math stack exchange

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I tried to replicate it

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<@&286206848099549185>

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Hello

safe radishBOT Sep 30, 2022, 9:22 PM

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@lean otter Has your question been resolved?

safe radishBOT Sep 30, 2022, 9:37 PM

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Channel closed

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queen pewter Sep 30, 2022, 9:44 PM

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Screen_Shot_2022-09-30_at_2.44.27_PM.png

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Screen_Shot_2022-09-30_at_2.44.37_PM.png

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Our teacher has never actually shown us how to write a Big-Oh proof

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Is this format acceptable? And, are these correct

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Mind the little mistake in the last part of the second image. Just noticed and fixed that

safe radishBOT Sep 30, 2022, 9:54 PM

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lean otter Sep 30, 2022, 9:55 PM

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safe radishBOT Sep 30, 2022, 9:55 PM

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lean otter

lean otter Sep 30, 2022, 9:55 PM

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Bro im gonna die

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Some sources of google say its that soem say its that im so annoyed

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Someone help

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Is this rifht

zinc sorrel Sep 30, 2022, 9:56 PM

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Leap year?

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Daylight saving?

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Idk prob a lot more

lean otter Sep 30, 2022, 10:07 PM

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No

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Just take 365 days

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Ahhhhh 😭

safe radishBOT Sep 30, 2022, 10:22 PM

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@lean otter Has your question been resolved?

zinc sorrel Sep 30, 2022, 10:31 PM

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lean otter

Looks like you set 1 month as 60 days

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Besides that it looks right to me

safe radishBOT Sep 30, 2022, 10:37 PM

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wicked whale Sep 30, 2022, 10:59 PM

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https://cdn.discordapp.com/attachments/941487256613552138/1025528873909243984/IMG_1992.png

safe radishBOT Sep 30, 2022, 10:59 PM

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wicked whale https://cdn.discordapp.com/attachments/941487256613552138/1025528873909243984/IM...

grizzled shoal Sep 30, 2022, 11:01 PM

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do you know your trig functions?

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also pls start by posting your work so we know where we start

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@wicked whale

safe radishBOT Sep 30, 2022, 11:14 PM

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@wicked whale Has your question been resolved?

safe radishBOT Sep 30, 2022, 11:29 PM

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tender mountain Sep 30, 2022, 11:49 PM

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if you distribute $-(x^2+2x)$ you get $-x^2 -2x$. $11x - (-2x)$ which is $13x$ not $9x$?

safe radishBOT Sep 30, 2022, 11:49 PM

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tender mountain if you distribute $-(x^2+2x)$ you get $-x^2 -2x$. $11x - (-2x)$ which is $13x$ n...

flat frigateBOT Sep 30, 2022, 11:49 PM

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kangaroo rat

compact ferry Sep 30, 2022, 11:50 PM

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$(x^2 + 11x + 18) - (x^2 + 2x) = ...$

flat frigateBOT Sep 30, 2022, 11:51 PM

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Gijs

tender mountain Sep 30, 2022, 11:52 PM

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flat frigate **Gijs**

i did it vertically

tender mountain Sep 30, 2022, 11:53 PM

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compact ferry $(x^2 + 11x + 18) - (x^2 + 2x) = ...$

and here the - isn't being distributed?

compact ferry Sep 30, 2022, 11:53 PM

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$(x^2 + 11x + 18) - (x^2 + 2x) = (x^2 + 11x + 18) + (-x^2 - 2x)$

flat frigateBOT Sep 30, 2022, 11:53 PM

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Gijs

compact ferry Sep 30, 2022, 11:53 PM

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you subtract

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thats it

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youre overthinking it

tender mountain Sep 30, 2022, 11:54 PM

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oh do you distribute the negative sign then add them together?

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@compact ferry

compact ferry Sep 30, 2022, 11:56 PM

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tender mountain oh do you distribute the negative sign then add them together?

doesnt matter actually, its the same thing

tender mountain Sep 30, 2022, 11:56 PM

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I thought you distribute them then subtract them?

compact ferry Sep 30, 2022, 11:56 PM

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okay suppose (1+2)

tender mountain Sep 30, 2022, 11:56 PM

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compact ferry doesnt matter actually, its the same thing

so you can distribute a negative then add or subtract

compact ferry Sep 30, 2022, 11:57 PM

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and you want to subtract (1+1) from (1+2)

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then would you subtract (-1 -1) from (1+2)?

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no you would just do (1+2) - (1+1)

lean otter Sep 30, 2022, 11:58 PM

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zinc sorrel Looks like you set 1 month as 60 days

Oh yeah so that was the problem, thanksss

tender mountain Sep 30, 2022, 11:59 PM

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@compact ferry So where did I go wrong?

compact ferry Sep 30, 2022, 11:59 PM

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youre supposed to subtract

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youre not subtracting

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thats it pretty much

tender mountain Oct 1, 2022, 12:00 AM

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compact ferry thats it pretty much

I did 11x-(-2x)

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which means to add

compact ferry Oct 1, 2022, 12:00 AM

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yes

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but you were supposed to subtract remember

tender mountain Oct 1, 2022, 12:01 AM

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compact ferry but you were supposed to subtract remember

how would i subtract

compact ferry Oct 1, 2022, 12:01 AM

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dont overthink it

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youll be alright

tender mountain Oct 1, 2022, 12:01 AM

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How would I subtract 11x-(-2x)

compact ferry Oct 1, 2022, 12:02 AM

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okay suppose you have a term lets call it x

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then you want to subtract y from x

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so you find x - y

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thats it

tender mountain Oct 1, 2022, 12:02 AM

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i gtg

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ill be back soon

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thanks

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.close

safe radishBOT Oct 1, 2022, 12:03 AM

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Channel closed

Closed by @tender mountain

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merry vessel Oct 1, 2022, 12:10 AM

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A cubic function with a negative leading coefficient and only one zero at 𝑥 = 4 and two non-real zeros

safe radishBOT Oct 1, 2022, 12:10 AM

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merry vessel A cubic function with a negative leading coefficient and only one zero at 𝑥 = 4...

merry vessel Oct 1, 2022, 12:10 AM

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what is a non-real zero?

green lichen Oct 1, 2022, 12:12 AM

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imaginary roots I think

weary osprey Oct 1, 2022, 12:12 AM

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A non real solution can be geometrically viewed as not touching the x-axis

dusk vapor Oct 1, 2022, 12:13 AM

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adenine is right

green lichen Oct 1, 2022, 12:14 AM

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dusk vapor adenine is right

HAHAH

merry vessel Oct 1, 2022, 12:17 AM

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weary osprey A non real solution can be geometrically viewed as not touching the x-axis

do you have an example i dont really understand

dusk vapor Oct 1, 2022, 12:17 AM

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ai+b

weary osprey Oct 1, 2022, 12:18 AM

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Suppose if you have a quadratic equation $x^2+4x+5=0$

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The classic factoring idea won’t work, as you can see; there is no two real number which we can multiply to get to 5 and add to get to 4 (why?)

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so obviously the solution cannot belong to the set of real numbers

dusk vapor Oct 1, 2022, 12:20 AM

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cause discriminate<0

weary osprey Oct 1, 2022, 12:20 AM

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Moreover i can see, if those numbers were 1,5 i could only add to get a bigger number

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So it won’t makes sense with real numbers to go back while adding making the product stays positive

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,w plot x^2+4x+5

flat frigateBOT Oct 1, 2022, 12:21 AM

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Results provided by WolframAlpha

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weary osprey Oct 1, 2022, 12:22 AM

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Graphically, the curve will not intersect the X-axis giving a root

merry vessel Oct 1, 2022, 12:25 AM

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merry vessel A cubic function with a negative leading coefficient and only one zero at 𝑥 = 4...

so if i was to graph this,

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would it look something like this?

weary osprey Oct 1, 2022, 12:26 AM

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This this having only one real solution

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As you can see only f(3.1ishh)=0

merry vessel Oct 1, 2022, 12:27 AM

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the question i have is to graph that equation and it says theres a zero at x=4

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i meant to put it at 4 not 3.1 :p

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how would i get 2 non zeros

weary osprey Oct 1, 2022, 12:27 AM

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So it will cross through x=4

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You can plot any cubic function that crosses with x axis only once

merry vessel Oct 1, 2022, 12:29 AM

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so the function has 1 real zero solution and 2 non real zero solutions right?