#help-23 | Mathematics | Page 224

lusty ridge Mar 30, 2024, 3:51 PM

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We'll get there.

Okay so, knowing that any 2 consecutive integers must be positive, can we say with 100% certainty that
t and t-1 are co prime
t and t+1 are co prime

safe otter Mar 30, 2024, 3:53 PM

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yes in fact we can just prove it using bezout's identity t -(t-1)=1 so t and t-1 are certainly coprime

lusty ridge Mar 30, 2024, 3:53 PM

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Yes, similary t and t+1 are also co prime

safe otter Mar 30, 2024, 3:53 PM

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yes

lusty ridge Mar 30, 2024, 3:53 PM

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So any number that's a factor of t will not be a factor of the other 2 numbers

safe otter Mar 30, 2024, 3:53 PM

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yes

lusty ridge Mar 30, 2024, 3:54 PM

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But they all multiply out to give us a perfect square

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If we assume t is NOT a perfect square, because t is relatively co prime to both t-1 and t+1, t(t+1)(t-1) won't be a perfect square either

safe otter Mar 30, 2024, 3:57 PM

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i think i understand

lusty ridge Mar 30, 2024, 3:58 PM

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So do you understand why t must be a perfect square?

safe otter Mar 30, 2024, 3:59 PM

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kind of

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but is it okay to just say it like this

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i mean

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doesnt it need a rigorous proof

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like using the decomposition of a natural number into prime factors or something

lusty ridge Mar 30, 2024, 4:00 PM

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safe otter like using the decomposition of a natural number into prime factors or something

I could give you a rigorous proof

safe otter Mar 30, 2024, 4:01 PM

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no no you don't need to tire yourself

lusty ridge Mar 30, 2024, 4:01 PM

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safe otter but is it okay to just say it like this

Yeah, by induction

safe radishBOT Mar 30, 2024, 4:16 PM

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@safe otter Has your question been resolved?

safe radishBOT Mar 30, 2024, 4:31 PM

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mental dove Mar 30, 2024, 4:43 PM

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I had a doubt in physics related to circular motion (mechanics)
so If we bank a road, then the normal reaction becomes the centripeta force and by doing some vector math we get N = mg/cosx where x is the elevation. But in a normal inclined plane N = mgcosx, so why is N = mg/cosx in this case?

safe radishBOT Mar 30, 2024, 4:43 PM

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mental dove I had a doubt in physics related to circular motion (mechanics) so If we bank a ...

marble dove Mar 30, 2024, 4:44 PM

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Your gay

mental dove Mar 30, 2024, 4:44 PM

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uhm

marble dove Mar 30, 2024, 4:44 PM

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Jk

steep kite Mar 30, 2024, 4:44 PM

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This is maths server bro

mental dove Mar 30, 2024, 4:45 PM

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shall I ping the mods?

marble dove Mar 30, 2024, 4:45 PM

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My friend told me to say

calm bridge Mar 30, 2024, 4:45 PM

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marble dove Your gay

<@&268886789983436800> show this human your power.

marble dove Mar 30, 2024, 4:45 PM

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It was a challenge

desert pasture Mar 30, 2024, 4:45 PM

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marble dove Your gay

and so what if they are?

marble dove Mar 30, 2024, 4:45 PM

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Mb bro

mental dove Mar 30, 2024, 4:45 PM

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steep kite This is maths server bro

I have seen a lot of people help phy doubts as well

marble dove Mar 30, 2024, 4:45 PM

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desert pasture and so what if they are?

Nothing

steep kite Mar 30, 2024, 4:45 PM

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mental dove I have seen a lot of people help phy doubts as well

Ok

marble dove Mar 30, 2024, 4:45 PM

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Nothings wrong with it

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It was a challenge

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Mb bro

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💀

calm bridge Mar 30, 2024, 4:45 PM

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steep kite This is maths server bro

no problem, you can ask anything here as long as someone's willing to help

marble dove Mar 30, 2024, 4:45 PM

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Didn’t expect this

steep kite Mar 30, 2024, 4:46 PM

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calm bridge no problem, you can ask anything here as long as someone's willing to help

I can help him but can't rn sry

glass apex Mar 30, 2024, 4:46 PM

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any help needed ?

mental dove Mar 30, 2024, 4:46 PM

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its fine I'll wait

mental dove Mar 30, 2024, 4:46 PM

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glass apex any help needed ?

yes sir

marble dove Mar 30, 2024, 4:46 PM

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I just woke everyone up

mental dove Mar 30, 2024, 4:46 PM

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mental dove I had a doubt in physics related to circular motion (mechanics) so If we bank a ...

.

steep kite Mar 30, 2024, 4:46 PM

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mental dove I had a doubt in physics related to circular motion (mechanics) so If we bank a ...

.

marble dove Mar 30, 2024, 4:46 PM

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As soon as I spoke

mental dove Mar 30, 2024, 4:46 PM

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I'll draw a diagram wait

marble dove Mar 30, 2024, 4:46 PM

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So people were literally camping this posts

glass apex Mar 30, 2024, 4:46 PM

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kindly dm me for doubts

sage hearth Mar 30, 2024, 4:46 PM

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mental dove I had a doubt in physics related to circular motion (mechanics) so If we bank a ...

well for normal incline you'd split mg into components but here you split normal into components

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so you equate the cos component of N to mg

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and hence

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that

safe radishBOT Mar 30, 2024, 4:47 PM

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marble dove So people were literally camping this posts

This channel is only for on-topic discussion. Please take casual conversation to #discussion or #chill.

glass apex Mar 30, 2024, 4:47 PM

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I will be able to solve your questions easily

mental dove Mar 30, 2024, 4:47 PM

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sage hearth well for normal incline you'd split mg into components but here you split normal...

but doesn't it act like an inclined plane?

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like this figure

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we have an inclined plane

sage hearth Mar 30, 2024, 4:49 PM

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mental dove but doesn't it act like an inclined plane?

here the block does not move with respect to the inclines y axis

mental dove Mar 30, 2024, 4:49 PM

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icy lance Mar 30, 2024, 4:50 PM

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mental dove I had a doubt in physics related to circular motion (mechanics) so If we bank a ...

in the triangle N would be the hyp, F the opp and mg the adj
cos(x)=mg/F

so F=mg/cos(x)

mental dove Mar 30, 2024, 4:50 PM

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icy lance in the triangle N would be the hyp, F the opp and mg the adj cos(x)=mg/F so F=m...

I get this

mental dove Mar 30, 2024, 4:50 PM

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mental dove

but why is it not mgcosx like in this case

sage hearth Mar 30, 2024, 4:50 PM

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mental dove

yes look here you equate N with mgcosx and why is that?

icy lance Mar 30, 2024, 4:50 PM

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mg cos(x) would be *perp* to the plane, not towards the center of the path

mental dove Mar 30, 2024, 4:50 PM

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sage hearth yes look here you equate N with mgcosx and why is that?

because we have reached vertical equilibrium?

steep kite Mar 30, 2024, 4:51 PM

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mental dove

In banking the object balances the sliding over the incline genrally

mental dove Mar 30, 2024, 4:51 PM

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icy lance mg cos(x) would be \*perp* to the plane, not towards the center of the path

in which case?

sage hearth Mar 30, 2024, 4:51 PM

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mental dove because we have reached vertical equilibrium?

its vertical with respect to the incline

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right?

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not actually vertical

mental dove Mar 30, 2024, 4:51 PM

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sage hearth its vertical with respect to the incline

yes, according to our conventions

sage hearth Mar 30, 2024, 4:51 PM

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yes

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but in banking

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its just vertical equilibrium

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not with respect to incline

mental dove Mar 30, 2024, 4:52 PM

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sage hearth not with respect to incline

why is that so?

mental dove Mar 30, 2024, 4:53 PM

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sage hearth not with respect to incline

the centripetal force acts perpendicular to mg

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it shouldn't affect vertical equilibrium

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so why is it not wrt incline?

sage hearth Mar 30, 2024, 4:54 PM

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in that case

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there will be a net horizontal force

mental dove Mar 30, 2024, 4:55 PM

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sage hearth there will be a net horizontal force

yes

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could you please share a diagram or smthn

sage hearth Mar 30, 2024, 4:56 PM

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mental dove Mar 30, 2024, 4:58 PM

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sage hearth

so how are we in vertical equilibrium wrt ground?

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oh wait

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I think I kinda get it

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In a normal inclined plane the block experience skidding

sage hearth Mar 30, 2024, 4:59 PM

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and here it doesnt

mental dove Mar 30, 2024, 4:59 PM

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so there is no verticle equilibrium wrt ground

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AHHH YES

mental dove Mar 30, 2024, 4:59 PM

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sage hearth and here it doesnt

tysm

sage hearth Mar 30, 2024, 4:59 PM

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yeah

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👍🏻

mental dove Mar 30, 2024, 5:00 PM

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.close

safe radishBOT Mar 30, 2024, 5:00 PM

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mental dove Mar 30, 2024, 5:02 PM

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.reopen

safe radishBOT Mar 30, 2024, 5:02 PM

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✅

mental dove Mar 30, 2024, 5:02 PM

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one small doubt

mental dove Mar 30, 2024, 5:02 PM

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sage hearth

here if you look at the y axis wrt incline

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can you calculate N = mg/cosx from here?

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like not the vertical axis wrt ground but wrt incline

sage hearth Mar 30, 2024, 5:03 PM

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nope

mental dove Mar 30, 2024, 5:04 PM

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oh alright thanks again

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.close

safe radishBOT Mar 30, 2024, 5:04 PM

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safe radishBOT Mar 30, 2024, 6:03 PM

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dusky spruce Mar 30, 2024, 6:04 PM

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safe radishBOT Mar 30, 2024, 6:04 PM

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dusky spruce

dusky spruce Mar 30, 2024, 6:04 PM

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How have they gone from the right expression in the penultimate line to the first expression in the final line?

pseudo scroll Mar 30, 2024, 6:05 PM

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sub kR = t

dusky spruce Mar 30, 2024, 6:06 PM

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Surely if you take out the R tho then it becomes $\frac{\sin kR}{k} \neq \operatorname{sinc}(t)$

flat frigateBOT Mar 30, 2024, 6:06 PM

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Jacob

pseudo scroll Mar 30, 2024, 6:07 PM

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what?

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they didn't take out the R

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that R on the last line is a result of changing the differential

dusky spruce Mar 30, 2024, 6:07 PM

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Oh right ofc

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thanks

safe radishBOT Mar 30, 2024, 6:22 PM

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safe radishBOT Mar 30, 2024, 7:18 PM

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worn zenith Mar 30, 2024, 7:18 PM

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safe radishBOT Mar 30, 2024, 7:18 PM

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worn zenith

worn zenith Mar 30, 2024, 7:19 PM

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how do I do the last 2

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if α + β + γ = π

safe radishBOT Mar 30, 2024, 7:34 PM

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@worn zenith Has your question been resolved?

safe radishBOT Mar 30, 2024, 8:05 PM

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@worn zenith Has your question been resolved?

safe radishBOT Mar 30, 2024, 9:05 PM

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@worn zenith Has your question been resolved?

safe radishBOT Mar 30, 2024, 11:05 PM

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@worn zenith Has your question been resolved?

safe radishBOT Mar 31, 2024, 3:07 AM

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@worn zenith Has your question been resolved?

shrewd bluff Mar 31, 2024, 5:47 AM

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are you trying to prove?

safe radishBOT Mar 31, 2024, 7:07 AM

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safe radishBOT Mar 31, 2024, 9:21 AM

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tough copper Mar 31, 2024, 10:04 AM

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Good morning,
At the end of the year I have an oral exam which must be on the notion of sixth year
It must be in the form of a problematized question
Do you have any ideas (innovative subjects because all the subjects on casinos, or plane flights are already taken)

safe radishBOT Mar 31, 2024, 10:04 AM

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tough copper Good morning, At the end of the year I have an oral exam which must be on the no...

low canyon Mar 31, 2024, 10:06 AM

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tough copper Good morning, At the end of the year I have an oral exam which must be on the no...

In which level are you exactly?

safe radishBOT Mar 31, 2024, 10:19 AM

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@tough copper Has your question been resolved?

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mental folio Mar 31, 2024, 10:44 AM

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safe radishBOT Mar 31, 2024, 10:44 AM

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mental folio

mental folio Mar 31, 2024, 10:45 AM

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I solbed some angles but got nowhere

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C = O = A = 60

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COB = 120

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ACB = 90

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blah blah blah

safe radishBOT Mar 31, 2024, 11:01 AM

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@mental folio Has your question been resolved?

safe radishBOT Mar 31, 2024, 11:34 AM

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@mental folio Has your question been resolved?

fallen flower Mar 31, 2024, 11:37 AM

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calculate angle CBA and DBA

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@mental folio

mental folio Mar 31, 2024, 11:41 AM

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fallen flower calculate angle CBA and DBA

CBA is 30 and DBA idk

fallen flower Mar 31, 2024, 11:44 AM

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mental folio CBA is 30 and DBA idk

u know triangle DBA is a right triangle right?

mental folio Mar 31, 2024, 11:44 AM

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yeah

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ADB covers half the circle

fallen flower Mar 31, 2024, 11:44 AM

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so do you know sin or cos

mental folio Mar 31, 2024, 11:45 AM

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yes I know trigonometry

fallen flower Mar 31, 2024, 11:45 AM

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mental folio yes I know trigonometry

yea so do it

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u have the length of BD and AB

mental folio Mar 31, 2024, 11:46 AM

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cos DBA = DB/AB = r*sqrt(2) / 2r = sqrt(2)/2

fallen flower Mar 31, 2024, 11:47 AM

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mental folio cos DBA = DB/AB = r*sqrt(2) / 2r = sqrt(2)/2

therefore DBA is 45 deg

mental folio Mar 31, 2024, 11:47 AM

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dba is 45

fallen flower Mar 31, 2024, 11:47 AM

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now that's it

mental folio Mar 31, 2024, 11:47 AM

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oh

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that was so simple

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didnt realize

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thank you

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.close

safe radishBOT Mar 31, 2024, 11:48 AM

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safe radishBOT Mar 31, 2024, 1:16 PM

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burnt grail Mar 31, 2024, 2:13 PM

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can someone tell me if this is correct?

safe radishBOT Mar 31, 2024, 2:13 PM

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burnt grail can someone tell me if this is correct?

vagrant ice Mar 31, 2024, 2:15 PM

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burnt grail can someone tell me if this is correct?

Nah, the median is 18

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Cumulative means that 20 people have a score of 16 or below

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38 people have a score of 17 or below

burnt grail Mar 31, 2024, 2:15 PM

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oh yea

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ik that

vagrant ice Mar 31, 2024, 2:15 PM

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So that means the (38 + 1)th person has a score of 18 until the 62nd person

burnt grail Mar 31, 2024, 2:15 PM

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i was wondering if i needed to take into consideration the table

vagrant ice Mar 31, 2024, 2:15 PM

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You do ofc

burnt grail Mar 31, 2024, 2:16 PM

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so what about the lower and upper quartile

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are they correct?

vagrant ice Mar 31, 2024, 2:16 PM

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burnt grail so what about the lower and upper quartile

Lower quartile is correct but upper one isn't

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(What cumulative frequency do you need for Q3?)

burnt grail Mar 31, 2024, 2:17 PM

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below 97?

vagrant ice Mar 31, 2024, 2:18 PM

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burnt grail below 97?

Nope

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Like what's the cumulative frequency for the median?

burnt grail Mar 31, 2024, 2:18 PM

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62

vagrant ice Mar 31, 2024, 2:18 PM

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Or basically, which person is the median

vagrant ice Mar 31, 2024, 2:18 PM

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burnt grail 62

Nope

burnt grail Mar 31, 2024, 2:19 PM

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i’m not sure then

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my data’s about to run out so i’m just gonna solve this on my own

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thanks for the help though

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.close

safe radishBOT Mar 31, 2024, 2:20 PM

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vagrant ice Mar 31, 2024, 2:31 PM

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burnt grail i’m not sure then

Ah ok, I'll just tell you and pls remember this in future
Median = 50th person, Q1 = 25th person, and Q3 = 75th person

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Technically it's the mean of the 50th and 51th etc, but they probably won't ever have a question where 51 is another category to 50

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Especially if you draw a curve and they ask you to find the median or quartiles from that

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You can't tell apart y = 50 from y = 50.5

burnt grail Mar 31, 2024, 2:33 PM

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so 19 is Q3?

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@vagrant ice

vagrant ice Mar 31, 2024, 2:33 PM

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burnt grail so 19 is Q3?

Yep

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Wait

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Nah it's 20

burnt grail Mar 31, 2024, 2:34 PM

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but u said 75th person

vagrant ice Mar 31, 2024, 2:34 PM

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70 people are at 19 or below

burnt grail Mar 31, 2024, 2:34 PM

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ohhhh

vagrant ice Mar 31, 2024, 2:34 PM

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So the 71th person is at 20

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Yeah

burnt grail Mar 31, 2024, 2:34 PM

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i get it

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thank you

safe radishBOT Mar 31, 2024, 2:35 PM

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lean otter Mar 31, 2024, 2:37 PM

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Am I performing this annihilator approach correctly?

safe radishBOT Mar 31, 2024, 2:37 PM

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lean otter Am I performing this annihilator approach correctly?

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steel forge Mar 31, 2024, 3:08 PM

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can anybody help me prove this?

safe radishBOT Mar 31, 2024, 3:09 PM

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scarlet garnet Mar 31, 2024, 3:23 PM

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the one you got wrong?

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So

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sin or cos of something +2k(pi) when k is an integer is the same value right

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I think k can just be any integer??😭

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because the pi we have here is an angle

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not a value

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so I think just saying whatever and making it 1 is ok

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safe radishBOT Mar 31, 2024, 3:41 PM

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waxen sail Mar 31, 2024, 3:42 PM

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am I doing it right?

find the slope:
f'(x) = 5x^2 - 20 / (x^2 + 4)^2, P(1,-1)

= 5(1)^2 - 20 / (1^2 + 4)^2
= 5^2 - 20 / (1 + 4)^2
= 25 - 20 / (5)^2
= 25 - 20 / 25
= 25 - 20 / 25
= 5 / 25
= 1 / 5

safe radishBOT Mar 31, 2024, 3:42 PM

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waxen sail am I doing it right? find the slope: f'(x) = 5x^2 - 20 / (x^2 + 4)^2, P(1,-1) ...

dusk nova Mar 31, 2024, 3:43 PM

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waxen sail am I doing it right? find the slope: f'(x) = 5x^2 - 20 / (x^2 + 4)^2, P(1,-1) ...

yes?

vagrant ice Mar 31, 2024, 3:43 PM

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What's f(x) though

dusk nova Mar 31, 2024, 3:43 PM

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this is more algebra than calc ig lol

vagrant ice Mar 31, 2024, 3:43 PM

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Or did they just give you f'(x)

limber lion Mar 31, 2024, 3:43 PM

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waxen sail am I doing it right? find the slope: f'(x) = 5x^2 - 20 / (x^2 + 4)^2, P(1,-1) ...

no
5(1)^2 is not equals to 5^2

vagrant ice Mar 31, 2024, 3:44 PM

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limber lion no 5(1)^2 is not equals to 5^2

THIS

dusk nova Mar 31, 2024, 3:44 PM

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meowdy

waxen sail Mar 31, 2024, 3:44 PM

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waaahhhtt

dusk nova Mar 31, 2024, 3:44 PM

#

their final answer is correct

#

i think

vagrant ice Mar 31, 2024, 3:44 PM

#

No they pulled a sneaky

waxen sail Mar 31, 2024, 3:44 PM

#

waht am i doing wrong

vagrant ice Mar 31, 2024, 3:44 PM

#

5 * 1^2 is not 25

dusk nova Mar 31, 2024, 3:44 PM

#

damn it's too early for these mind games

limber lion Mar 31, 2024, 3:44 PM

#

waxen sail waaahhhtt

is it 5(x)^2 or (5x)^2 you need to clarify

vagrant ice Mar 31, 2024, 3:44 PM

#

It's just 5

thin bridge Mar 31, 2024, 3:44 PM

#

violating the order of operations

vagrant ice Mar 31, 2024, 3:44 PM

#

Cause you sub in x = 1 right

limber lion Mar 31, 2024, 3:45 PM

#

wait guys

waxen sail Mar 31, 2024, 3:45 PM

#

limber lion is it 5(x)^2 or (5x)^2 you need to clarify

the latter

limber lion Mar 31, 2024, 3:45 PM

#

limber lion is it 5(x)^2 or (5x)^2 you need to clarify

let her answer this first

limber lion Mar 31, 2024, 3:45 PM

#

waxen sail the latter

oh then its correct

dusk nova Mar 31, 2024, 3:45 PM

#

bruh

#

kekw

waxen sail Mar 31, 2024, 3:45 PM

#

no

thin bridge Mar 31, 2024, 3:45 PM

#

perhaps you should post a pic of your problem

#

or include all necessary ()

waxen sail Mar 31, 2024, 3:46 PM

#

sorry

thin bridge Mar 31, 2024, 3:46 PM

#

as we pretty much take what's typed at face value

waxen sail Mar 31, 2024, 3:46 PM

#

thin bridge Mar 31, 2024, 3:47 PM

#

so it IS 5x^2 and not (5x)^2

waxen sail Mar 31, 2024, 3:47 PM

#

how is it different

#

😔

#

they arent the same?

thin bridge Mar 31, 2024, 3:47 PM

#

no

waxen sail Mar 31, 2024, 3:48 PM

#

how

thin bridge Mar 31, 2024, 3:48 PM

#

5x^2 is 5 being multiplied to the square of x

#

(5x)^2 is the square of 5x

#

also you'd need () around the terms on numerator when typing in plain text

#

basic order of operations

waxen sail Mar 31, 2024, 3:49 PM

#

sadcat

waxen sail Mar 31, 2024, 3:49 PM

#

thin bridge 5x^2 is 5 being multiplied to the square of x

i still dont get this one

#

can you give an examle

thin bridge Mar 31, 2024, 3:49 PM

#

2 * 3^2

#

order of operations say exponents before multiplication

#

power of 2 applies to the 3 only

waxen sail Mar 31, 2024, 3:50 PM

#

so uh

#

it should be

#

if my problem is 5(1)^2 then its just 5?

thin bridge Mar 31, 2024, 3:50 PM

#

yes

waxen sail Mar 31, 2024, 3:50 PM

#

ooo

#

what about the latter

waxen sail Mar 31, 2024, 3:50 PM

#

thin bridge (5x)^2 is the square of `5x`

^^

thin bridge Mar 31, 2024, 3:51 PM

#

the whole thing is squared

#

you could simplify the inside if possible

#

or alternatively apply power of product law

waxen sail Mar 31, 2024, 3:51 PM

#

what about something like this

#

(1 + 4)^2

#

then the answer would be 25?

thin bridge Mar 31, 2024, 3:51 PM

#

or apply defintion of squaring, and simplify the multiplication

#

yes

waxen sail Mar 31, 2024, 3:53 PM

#

so it should be something like this then;

. f'(x) = 5x^2 - 20 / (x^2 + 4)^2
= 5(1)^2 - 20 / (1^2 + 4)^2
= 5 - 20 / (1 + 4)^2
= 5 - 20 / (5)^2
= -15 / 25
= -15 / 25
= -5 / 25
= -3 / 5

limber lion Mar 31, 2024, 3:57 PM

#

waxen sail so it should be something like this then; . f'(x) = 5x^2 - 20 / (x^2 + 4)^2 ...

ah why did it go from 5 to 15 here?

waxen sail Mar 31, 2024, 3:57 PM

#

aye mb i forgot to remove the 20

#

is it gud now

limber lion Mar 31, 2024, 4:01 PM

#

waxen sail is it gud now

= -5 / 25
= -3 / 5

you forgot a "1" in the 2nd last step, otherwise its all good

#

acutally you dont need the 2nd and 3rd last lines, just remove em

waxen sail Mar 31, 2024, 4:04 PM

#

limber lion acutally you dont need the 2nd and 3rd last lines, just remove em

thanks

#

last question

#

is my general equation gud

#

limber lion Mar 31, 2024, 4:05 PM

#

waxen sail

its + 2/5 in the last line

#

all good other than that

waxen sail Mar 31, 2024, 4:07 PM

#

limber lion all good other than that

thank you so much!

#

.close

safe radishBOT Mar 31, 2024, 4:08 PM

#

Channel closed

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safe radishBOT Mar 31, 2024, 4:31 PM

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radiant zealot Mar 31, 2024, 4:33 PM

#

help moi

safe radishBOT Mar 31, 2024, 4:33 PM

#

radiant zealot help moi

radiant zealot Mar 31, 2024, 4:34 PM

#

how would I model this using the washer method

#

or with any type of integrals

#

Here is the entire image

safe radishBOT Mar 31, 2024, 4:49 PM

#

@radiant zealot Has your question been resolved?

radiant zealot Mar 31, 2024, 4:57 PM

#

<@&286206848099549185>

#

I was thinking that

#

I could split it into two seperate parts

#

but I have no clue if that would work

steel stag Mar 31, 2024, 5:15 PM

#

yea it's kind of hopeless. with a formula for the center of the instrument along the tube and a function for what the thickness is at every point you can do a line integral or arc length with like pi*thickness(x)^2 inside

#

I don't expect to have either of those things so an approximation would just be cutting it up into a few regions and treating them as close to cylinders

radiant zealot Mar 31, 2024, 5:38 PM

#

steel stag yea it's kind of hopeless. with a formula for the center of the instrument alon...

actually

#

I just wanted to find SA

#

which should be easier

steel stag Mar 31, 2024, 5:40 PM

#

I think it's just as bad you just do 2pi*thickness(x) instead

radiant zealot Mar 31, 2024, 5:40 PM

#

I was thinking

steel stag Mar 31, 2024, 5:40 PM

#

I mean if you actually have that instrument on you you can just measure parts and estimate

radiant zealot Mar 31, 2024, 5:40 PM

#

if I cut it on an axis

#

and rotate it arounf

#

180 degrees

#

then do it for both parts

#

it should work no?

steel stag Mar 31, 2024, 5:42 PM

#

sounds good

radiant zealot Mar 31, 2024, 5:43 PM

#

k ill try

#

.close

safe radishBOT Mar 31, 2024, 5:44 PM

#

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safe radishBOT Mar 31, 2024, 6:14 PM

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lean otter Mar 31, 2024, 6:16 PM

#

safe radishBOT Mar 31, 2024, 6:16 PM

#

lean otter

lean otter Mar 31, 2024, 6:16 PM

#

I've determined the slope is a/4

#

through $4y=ax+21$

flat frigateBOT Mar 31, 2024, 6:16 PM

#

Remlis

lean otter Mar 31, 2024, 6:16 PM

#

$y=\tfrac a4 x + \tfrac{21}{4}$

flat frigateBOT Mar 31, 2024, 6:16 PM

#

Remlis

lean otter Mar 31, 2024, 6:17 PM

#

m=a/4

#

now for the 2nd part

#

y=a/x^2

#

I've determined that the derivative is

#

$y'=\tfrac{-2a}{x^3}$

flat frigateBOT Mar 31, 2024, 6:17 PM

#

Remlis

lean otter Mar 31, 2024, 6:18 PM

#

so then my first thought was setting the slope equals to the derivative since it is tangent

#

but after working it out I end up with a/4 = a/4

#

on both sides

safe radishBOT Mar 31, 2024, 6:33 PM

#

@lean otter Has your question been resolved?

#

Channel closed

Closed by @worthy swan

Use .reopen if this was a mistake.

lean otter Mar 31, 2024, 6:33 PM

#

.reopen

safe radishBOT Mar 31, 2024, 6:33 PM

#

✅

icy sonnet Mar 31, 2024, 6:43 PM

#

lean otter

ill give u another way that doesn't involve deriving

#

both the graph and the tangent line have equal y at x=-2

#

because well it's tangent in that point

#

the first is y=(a/4)x +21/4

#

like you did

#

for x=-2 set the y of the tangent and the y of the function to be equal

#

meaning (-1/2)a +21/4 =a/4

lean otter Mar 31, 2024, 6:46 PM

#

does a end up being 7?

icy sonnet Mar 31, 2024, 6:47 PM

#

yep

lean otter Mar 31, 2024, 6:47 PM

#

because using point slope I was able to find it

lean otter Mar 31, 2024, 6:47 PM

#

icy sonnet both the graph and the tangent line have equal y at x=-2

true

#

so you're saying to have $\frac{a}{x^2}=\frac{a}{4}+\frac{21}{4}$

flat frigateBOT Mar 31, 2024, 6:49 PM

#

Remlis

lean otter Mar 31, 2024, 6:49 PM

#

at x = -2

icy sonnet Mar 31, 2024, 6:49 PM

#

yep

#

missing an x there but that's the idea

lean otter Mar 31, 2024, 6:49 PM

#

so you're saying to have $\frac{a}{4}=\frac{-2a}{4}+\frac{21}{4}$

flat frigateBOT Mar 31, 2024, 6:49 PM

#

Remlis

icy sonnet Mar 31, 2024, 6:49 PM

#

yes

lean otter Mar 31, 2024, 6:50 PM

#

$a=-2a+21$

flat frigateBOT Mar 31, 2024, 6:50 PM

#

Remlis

lean otter Mar 31, 2024, 6:50 PM

#

$3a=21$

flat frigateBOT Mar 31, 2024, 6:50 PM

#

Remlis

lean otter Mar 31, 2024, 6:50 PM

#

$a=7$

flat frigateBOT Mar 31, 2024, 6:50 PM

#

Remlis

lean otter Mar 31, 2024, 6:50 PM

#

ah okay I see

#

clever method

icy sonnet Mar 31, 2024, 6:51 PM

#

just a small nod, it would be helpful for you if you can immediately think of this way

#

ignoring the new things you've learned about derivation

#

what that exercise basically said is that u have two graphs touching in a point

lean otter Mar 31, 2024, 6:52 PM

#

at a point x=-2

icy sonnet Mar 31, 2024, 6:52 PM

#

don't think too much about it but eventually you will be able to immediately think this way

lean otter Mar 31, 2024, 6:52 PM

#

so then they share a common y value at that same point

#

making them equal

#

never thought about it that way

icy sonnet Mar 31, 2024, 6:53 PM

#

it's faster and u will need that kind of fast approach in exams

lean otter Mar 31, 2024, 6:53 PM

#

definetly yeah

icy sonnet Mar 31, 2024, 6:53 PM

#

it will become your default way of thinking so dw about it

#

good luck with your studying 🙂

lean otter Mar 31, 2024, 6:53 PM

#

thanks, and all the best to you aswell

safe radishBOT Mar 31, 2024, 7:08 PM

#

@lean otter Has your question been resolved?

#

Channel closed

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#

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undone swift Mar 31, 2024, 7:14 PM

#

Can anyone help with physics

safe radishBOT Mar 31, 2024, 7:14 PM

#

undone swift Can anyone help with physics

undone swift Mar 31, 2024, 7:15 PM

#

#

i cant figure this out

safe radishBOT Mar 31, 2024, 7:30 PM

#

@undone swift Has your question been resolved?

strange compass Mar 31, 2024, 7:37 PM

#

undone swift

for the second question, consider grouping the first two blocks and writing the net force exerted on it

safe radishBOT Mar 31, 2024, 7:45 PM

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safe radishBOT Mar 31, 2024, 8:04 PM

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radiant zealot Mar 31, 2024, 8:21 PM

#

help

safe radishBOT Mar 31, 2024, 8:21 PM

#

radiant zealot help

radiant zealot Mar 31, 2024, 8:21 PM

#

#

what is wrong with my logic here

#

why is the formula I derived wrong?

median vigil Mar 31, 2024, 8:23 PM

#

it comes down to the same problem as this meme

#

namely, that in order for a surface calculation to get better and better with smaller calculations (riemann sums), the surfaces you consider should become tangent to the surface in question

radiant zealot Mar 31, 2024, 8:24 PM

#

oh

#

why does the washer method work then?

#

does the same logic not apply?

median vigil Mar 31, 2024, 8:25 PM

#

approximating a measurement of the inside doesn't have that same restriction

radiant zealot Mar 31, 2024, 8:26 PM

#

wait why not

median vigil Mar 31, 2024, 8:26 PM

#

median vigil it comes down to the same problem as this meme

e.g. in the meme here the area of the "square circle" does approach the true area even though the circumference does not

radiant zealot Mar 31, 2024, 8:26 PM

#

OH

#

I SEE

median vigil Mar 31, 2024, 8:27 PM

#

a more in depth video about a similar topic of successive approximations: https://youtube.com/watch?v=yAEveAH2KwI

YouTube

Mathologer

What's the curse of the Schwarz lantern?

Second coop with Andrew. This time it's about the Schwarz lantern a very famous counterexample to something that mathematicians believed to be obviously true. A 3D cousin of the famous pi = 4 paradox.

00:00 Intro
00:39 Troll math: the pi=4 meme
02:25 Archimedes chops off corners
05:51 Archimedes boxing of pi
07:40 Schwarz lantern
16:59 Area for...

▶ Play video

radiant zealot Mar 31, 2024, 8:27 PM

#

wait dude thanks

#

I was so confused

#

so area doesn't have the same issue as length

#

#

how would I model the SA of this

median vigil Mar 31, 2024, 8:50 PM

#

find some mathematical function modeling a "horn" shape (the classic "horn of gabriel" uses 1/x for example) then use the usual formula for surface area: https://tutorial.math.lamar.edu/Classes/CalcII/SurfaceArea.aspx

radiant zealot Mar 31, 2024, 8:51 PM

#

the problem is that is is ben

#

bent

#

#

within the context of this img

#

the horn at the end wouldn't be perfectly in line with the axis

#

so I cant use SA of a revolution formula

safe radishBOT Mar 31, 2024, 9:07 PM

#

@radiant zealot Has your question been resolved?

safe radishBOT Mar 31, 2024, 9:37 PM

#

@radiant zealot Has your question been resolved?

radiant zealot Mar 31, 2024, 10:37 PM

#

median vigil find some mathematical function modeling a "horn" shape (the classic "horn of ga...

wait should i just seperate it

median vigil Mar 31, 2024, 10:38 PM

#

you can have different functions describing each "segment" and take surface areas separately, yes

radiant zealot Mar 31, 2024, 10:40 PM

#

ok ty

#

is there a way to sperate it into an infinite amount of sections

radiant zealot Mar 31, 2024, 10:58 PM

#

median vigil you can have different functions describing each "segment" and take surface area...

wait is it possible for the line of revolution to be a curve

median vigil Mar 31, 2024, 11:03 PM

#

it probably is, but setting that up and integrating it is probably outside the scope of your course.

radiant zealot Mar 31, 2024, 11:03 PM

#

is there a formula I can use?

median vigil Mar 31, 2024, 11:03 PM

#

a special case would be a torus (donut shape) whose surface area you can look up

radiant zealot Mar 31, 2024, 11:04 PM

#

im using the trous for the bottom part of my saxophone

#

torus

safe radishBOT Apr 1, 2024, 12:04 AM

#

@radiant zealot Has your question been resolved?

radiant zealot Apr 1, 2024, 12:54 AM

#

#

How did f'(c) become f'(x)

radiant zealot Apr 1, 2024, 12:58 AM

#

median vigil a special case would be a torus (donut shape) whose surface area you can look up

is it cuz f'(c) is just a random point?

median vigil Apr 1, 2024, 1:09 AM

#

radiant zealot

c is just some value of x that lies on a given partition, in the riemann sum

safe radishBOT Apr 1, 2024, 2:58 AM

#

@radiant zealot Has your question been resolved?

safe radishBOT Apr 1, 2024, 3:22 AM

#

Channel closed

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safe radishBOT Apr 1, 2024, 8:42 AM

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ruby parrot Apr 1, 2024, 8:55 AM

#

How do I do this?

safe radishBOT Apr 1, 2024, 8:55 AM

#

ruby parrot How do I do this?

spice furnace Apr 1, 2024, 8:57 AM

#

So what have you tried?

ruby parrot Apr 1, 2024, 8:58 AM

#

i honestly have no idea where to start so i havent really tried anything except for factorization which i couldnt do

spice furnace Apr 1, 2024, 9:01 AM

#

Try to see if any integers are roots. So you want check the factors of 15 and -10. This comes from Vieta's formula. refer to wikipedia if need be

safe radishBOT Apr 1, 2024, 9:13 AM

#

@ruby parrot Has your question been resolved?

#

Channel closed

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dull sequoia Apr 1, 2024, 9:14 AM

#

ruby parrot i honestly have no idea where to start so i havent really tried anything except ...

Perhaps you could subtract 1 from the other…?

safe radishBOT Apr 1, 2024, 9:28 AM

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onyx sandal Apr 1, 2024, 9:34 AM

#

safe radishBOT Apr 1, 2024, 9:34 AM

#

onyx sandal

rigid inlet Apr 1, 2024, 9:36 AM

#

hard crest Apr 1, 2024, 9:41 AM

#

didn't you ask this earlier?

onyx sandal Apr 1, 2024, 9:48 AM

#

hard crest didn't you ask this earlier?

Yeah but not regarding answer

onyx sandal Apr 1, 2024, 9:48 AM

#

rigid inlet

1 ig

rigid inlet Apr 1, 2024, 9:48 AM

#

You guess?

onyx sandal Apr 1, 2024, 9:50 AM

#

ye

rigid inlet Apr 1, 2024, 9:50 AM

#

Do you know what "a scale of 1:250,000" means?

onyx sandal Apr 1, 2024, 9:57 AM

#

rigid inlet Do you know what "a scale of 1:250,000" means?

1 : 250, 000

#

when it's 1 other is 125,000

rigid inlet Apr 1, 2024, 9:58 AM

#

What's "it's"?

onyx sandal Apr 1, 2024, 9:58 AM

#

the number

#

whe one number is 1 the other is 125,000

rigid inlet Apr 1, 2024, 10:00 AM

#

So if the distance between two cities is 22cm on the map, how far apart are they in real life?

rigid inlet Apr 1, 2024, 10:00 AM

#

onyx sandal whe one number is 1 the other is 125,000

250,000 not 125,000

onyx sandal Apr 1, 2024, 10:02 AM

#

rigid inlet 250,000 not 125,000

ye mb

onyx sandal Apr 1, 2024, 10:03 AM

#

rigid inlet So if the distance between two cities is 22cm on the map, how far apart are they...

idk

rigid inlet Apr 1, 2024, 10:04 AM

#

Then you need to revise your interpretation of scale

onyx sandal Apr 1, 2024, 10:04 AM

#

?

rigid inlet Apr 1, 2024, 10:04 AM

#

I'd appreciate at least some words

onyx sandal Apr 1, 2024, 10:04 AM

#

''what?''

#

why are u overcomplicating things

#

ok thanks anyways

#

.close

safe radishBOT Apr 1, 2024, 10:05 AM

#

Channel closed

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safe radishBOT Apr 1, 2024, 10:20 AM

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silent halo Apr 1, 2024, 10:26 AM

#

Can someone help me with e)

safe radishBOT Apr 1, 2024, 10:26 AM

#

silent halo Can someone help me with e)

silent halo Apr 1, 2024, 10:39 AM

#

<@&286206848099549185>

safe radishBOT Apr 1, 2024, 10:40 AM

#

Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.

silent halo Apr 1, 2024, 10:44 AM

#

safe radish Please only use the <@&286206848099549185> ping **once** if your question has no...

mb

#

please soimnsoen ehlp[ me

#

ive made 2 tickets

onyx sandal Apr 1, 2024, 10:50 AM

#

silent halo mb

do you know the formula for finding the avg?

#

You have to find the average of the cars deduction in price over every year

silent halo Apr 1, 2024, 10:53 AM

#

onyx sandal do you know the formula for finding the avg?

uh

#

isnt it just

#

total

#

/ amount of numbers

onyx sandal Apr 1, 2024, 10:53 AM

#

somewhat yea

#

I havent worked the preivous answers

silent halo Apr 1, 2024, 10:54 AM

#

onyx sandal You have to find the average of the cars deduction in price over every year

i can gived them

onyx sandal Apr 1, 2024, 10:54 AM

#

however I assume that every years deduction in price has to be added then divided by 10

silent halo Apr 1, 2024, 10:54 AM

#

oh so can i just do

#

6500(1-0.225)^10

#

then divide by 10

onyx sandal Apr 1, 2024, 10:55 AM

#

thats for compund interest right?

silent halo Apr 1, 2024, 10:55 AM

#

yea but same works for finding how much it was originally

#

like how much the car was originally

#

before it depreciated

onyx sandal Apr 1, 2024, 10:57 AM

#

You're meant to find the average the price went down per year

#

a years price 'down' value

silent halo Apr 1, 2024, 10:59 AM

#

Ohhh wait

#

iahve to do 6500(0.775)^-10

#

which is 83157 to nearest dollar

#

then minus

#

6500

#

which is 76657

#

nearest dollar

#

and then divide by 10

#

i think

#

which is 7666 nearest dollar

safe radishBOT Apr 1, 2024, 11:15 AM

#

@silent halo Has your question been resolved?

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strange quail Apr 1, 2024, 11:35 AM

#

safe radishBOT Apr 1, 2024, 11:35 AM

#

strange quail

strange quail Apr 1, 2024, 11:36 AM

#

can someone please help with this

lusty ridge Apr 1, 2024, 11:36 AM

#

strange quail

have you tried solving?

strange quail Apr 1, 2024, 11:37 AM

#

yea.. I'm stuck which is embarrassing

lusty ridge Apr 1, 2024, 11:37 AM

#

can i see ur work?

strange quail Apr 1, 2024, 11:38 AM

#

yupp

#

royal pivot Apr 1, 2024, 11:39 AM

#

you basically have it

#

do you know how to factorise out y?

lusty ridge Apr 1, 2024, 11:39 AM

#

strange quail

divide both sides by 1-x

strange quail Apr 1, 2024, 11:39 AM

#

OMG ur rightttt

#

yeye got it now, thanks a lot

#

.close

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tawdry schooner Apr 1, 2024, 11:57 AM

#

howdy hey

safe radishBOT Apr 1, 2024, 11:57 AM

#

tawdry schooner howdy hey

tawdry schooner Apr 1, 2024, 11:57 AM

#

<@&286206848099549185>

frozen marlin Apr 1, 2024, 11:57 AM

#

!15m

safe radishBOT Apr 1, 2024, 11:57 AM

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Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.

frozen marlin Apr 1, 2024, 11:57 AM

#

what is your question

tawdry schooner Apr 1, 2024, 11:58 AM

#

So

#

I need to figure out

frozen marlin Apr 1, 2024, 11:58 AM

#

!xy

safe radishBOT Apr 1, 2024, 11:58 AM

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Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.

tawdry schooner Apr 1, 2024, 11:58 AM

#

how to convert 480 mm^2

#

to km^2

frozen marlin Apr 1, 2024, 11:58 AM

#

...?

tawdry schooner Apr 1, 2024, 11:58 AM

#

dont ask why

frozen marlin Apr 1, 2024, 11:58 AM

#

1 km = 10^6 mm

#

use this

tawdry schooner Apr 1, 2024, 11:58 AM

#

well yes

#

but i need working

frozen marlin Apr 1, 2024, 11:58 AM

#

bro

#

we aren't doing your homework for you

tawdry schooner Apr 1, 2024, 11:59 AM

#

I am literally asking for help

frozen marlin Apr 1, 2024, 11:59 AM

#

so?

tawdry schooner Apr 1, 2024, 11:59 AM

#

with one question

frozen marlin Apr 1, 2024, 11:59 AM

#

we're here to help you learn

#

not hand out answers

#

this server wants to promote maths not free marks

tawdry schooner Apr 1, 2024, 11:59 AM

#

Okay, use another value then

#

to teach me

frozen marlin Apr 1, 2024, 11:59 AM

#

no

#

we're not that stupid

#

you can try working it out for yourself

#

picture a grid, 1 km x 1 km
now see what that would be in mm^2

use that

tawdry schooner Apr 1, 2024, 12:00 PM

#

1 trillion mm^2?

frozen marlin Apr 1, 2024, 12:01 PM

#

yes

#

good job

tawdry schooner Apr 1, 2024, 12:01 PM

#

so other way

#

its

frozen marlin Apr 1, 2024, 12:01 PM

#

so we know that 1 km^2 = 10^12 mm^2

#

i think you can figure the rest out

tawdry schooner Apr 1, 2024, 12:01 PM

#

0.0000000000001 km^2?

frozen marlin Apr 1, 2024, 12:01 PM

#

...?

tawdry schooner Apr 1, 2024, 12:01 PM

#

12 zeros

frozen marlin Apr 1, 2024, 12:01 PM

#

counts

#

mb

#

dc crashed

#

again

#

anyway

tawdry schooner Apr 1, 2024, 12:02 PM

#

...

frozen marlin Apr 1, 2024, 12:02 PM

#

should b 11 zeroes

#

not 12

#

idk how many u put

tawdry schooner Apr 1, 2024, 12:02 PM

#

yeah i put 12

#

so 11 zeros?

frozen marlin Apr 1, 2024, 12:03 PM

#

yes

compact nebula Apr 1, 2024, 12:03 PM

#

12 zeroes including the one before the decimal point so 11

tawdry schooner Apr 1, 2024, 12:04 PM

#

so 480mm^2

#

would be

#

0.0000000000048 km^2?

#

(11 zeros no need to count)

#

@frozen marlin

frozen marlin Apr 1, 2024, 12:05 PM

#

no

#

please don't ping me

#

anyway

tawdry schooner Apr 1, 2024, 12:05 PM

#

well you haad been gone for 3 minutes

#

mb

#

10 zeros?

frozen marlin Apr 1, 2024, 12:05 PM

#

11 zeroes then 1 times 480 doesn't have 11 ezroes

#

stop guessing

tawdry schooner Apr 1, 2024, 12:08 PM

#

AHA

#

0.00000000048 km^2

#

ren

frozen marlin Apr 1, 2024, 12:12 PM

#

??

#

mb my discord is seriously lagging

#

how many zeroes is that

#

yes that works FYI @tawdry schooner

tawdry schooner Apr 1, 2024, 12:18 PM

#

should be

#

about

#

um

#

9 zeros

frozen marlin Apr 1, 2024, 12:20 PM

#

ye

#

i counted bleak

tawdry schooner Apr 1, 2024, 12:21 PM

#

bleakkekw

frozen marlin Apr 1, 2024, 12:21 PM

#

xD

#

!done

safe radishBOT Apr 1, 2024, 12:21 PM

#

If you are done with this channel, please mark your problem as solved by typing .close

frozen marlin Apr 1, 2024, 12:23 PM

#

@tawdry schooner

tawdry schooner Apr 1, 2024, 12:23 PM

#

REN

#

WHAT THE HELL EVEN IS A

#

CUBIC MICROMETER

#

compared to 1cm^3

frozen marlin Apr 1, 2024, 12:24 PM

#

...?

tawdry schooner Apr 1, 2024, 12:24 PM

#

whats the

#

conversion rate thingt

frozen marlin Apr 1, 2024, 12:24 PM

#

iirc 10^6 micrometer = 1m

tawdry schooner Apr 1, 2024, 12:24 PM

#

whats iirc

tawdry schooner Apr 1, 2024, 12:24 PM

#

frozen marlin iirc 10^6 micrometer = 1m

not 1m, cm

frozen marlin Apr 1, 2024, 12:25 PM

#

ah mb

#

10,000 μm = 10^4 μm = 1 cm

#

i think that you could have converted that yourself, but okay ig

tawdry schooner Apr 1, 2024, 12:29 PM

#

alr

#

thanks

#

.close

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ashen swan Apr 1, 2024, 12:49 PM

#

help

safe radishBOT Apr 1, 2024, 12:49 PM

#

ashen swan help

ashen swan Apr 1, 2024, 12:50 PM

#

#

how did they solve this qs

#

I used the same formula but didn’t get the same answer

thin bridge Apr 1, 2024, 12:52 PM

#

plug in your values

#

the problem with the stuff you crossed out is that
10 * 0.18 isn't 0.18

ashen swan Apr 1, 2024, 12:56 PM

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.close

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vital summit Apr 1, 2024, 1:38 PM

#

does anyone know why the constant in PDE separation by variables must be a negative?

safe radishBOT Apr 1, 2024, 1:38 PM

#

vital summit does anyone know why the constant in PDE separation by variables must be a negat...

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Please don't occupy multiple help channels.

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short spire Apr 1, 2024, 2:34 PM

#

safe radishBOT Apr 1, 2024, 2:34 PM

#

short spire

short spire Apr 1, 2024, 2:34 PM

#

How can i solve this?

main mural Apr 1, 2024, 2:39 PM

#

short spire How can i solve this?

min(x) = (product of all factors of A that are not 2 or 3)

short spire Apr 1, 2024, 2:39 PM

#

Okey got it

#

7 and 5

#

Wich makes 35

#

Right?

main mural Apr 1, 2024, 2:40 PM

#

short spire

unless we assume a and b are not positive integers but that would be a bit unreasonable

main mural Apr 1, 2024, 2:40 PM

#

short spire Wich makes 35

yes

short spire Apr 1, 2024, 2:40 PM

#

Thanks!

main mural Apr 1, 2024, 2:40 PM

#

,w factorise 9!

flat frigateBOT Apr 1, 2024, 2:40 PM

#

Results provided by WolframAlpha

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main mural Apr 1, 2024, 2:40 PM

#

indeed it's 5*7 = 35

short spire Apr 1, 2024, 2:40 PM

#

.close

safe radishBOT Apr 1, 2024, 2:40 PM

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safe radishBOT Apr 1, 2024, 3:39 PM

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eternal geyser Apr 1, 2024, 3:43 PM

#

how do I solve this?

safe radishBOT Apr 1, 2024, 3:43 PM

#

eternal geyser how do I solve this?

flat jolt Apr 1, 2024, 3:47 PM

#

Since the sphere displaces an amount of water equal to it's volume and the water is stored in a cylindrical container try equating the volume of sphere to the volume of water displaced

#

Take the height of the cylindrical water as h

eternal geyser Apr 1, 2024, 3:55 PM

#

would it be c?

flat jolt Apr 1, 2024, 4:00 PM

#

Dunno I am too lazy to solve it

eternal geyser Apr 1, 2024, 4:02 PM

#

.close

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clever ridge Apr 1, 2024, 5:12 PM

#

how do I derive this? $v(t) = t^2e^{-10t}$, and $ i(t) = C\frac{dv(t)}{dt}$ ... is it $2(2te^{-10t}+t^2 *-10e^{-10t})$

safe radishBOT Apr 1, 2024, 5:12 PM

#

clever ridge how do I derive this? $v(t) = t^2e^{-10t}$, and $ i(t) = C\frac{dv(t)}{dt}$ ... ...

flat frigateBOT Apr 1, 2024, 5:12 PM

#

wakamole

safe radishBOT Apr 1, 2024, 5:12 PM

#

Please don't occupy multiple help channels.

clever ridge Apr 1, 2024, 5:12 PM

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.close

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glass ruin Apr 1, 2024, 5:38 PM

#

,tex 3(x+h)^3

safe radishBOT Apr 1, 2024, 5:38 PM

#

glass ruin ,tex 3(x+h)^3

flat frigateBOT Apr 1, 2024, 5:38 PM

#

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

glass ruin Apr 1, 2024, 5:39 PM

#

ok so im doing limit definition and i completely forgot how to simplify cubes like this

#

can someone show me like step by step ....

inner parrot Apr 1, 2024, 5:41 PM

#

do you wanna do it using pascal’s triangle or FOIL

glass ruin Apr 1, 2024, 5:41 PM

#

FOIL

inner parrot Apr 1, 2024, 5:41 PM

#

alright

#

so let’s just do (x+h)^2 first

glass ruin Apr 1, 2024, 5:41 PM

#

ok

inner parrot Apr 1, 2024, 5:41 PM

#

then multiply the result by (x+h)

#

we essentially have to foil twice

glass ruin Apr 1, 2024, 5:42 PM

#

oooh

#

ok one sec let me do it

#

okay so once i get to

#

(x^2+2xh+h^2)(x+h)

#

how do i multiply those

inner parrot Apr 1, 2024, 5:44 PM

#

we just apply the same concept

#

we would do x^2 times x

#

then x^2 times h

#

2xh times x

#

2xh times h

glass ruin Apr 1, 2024, 5:44 PM

#

ohh ok and then do that again for each term

inner parrot Apr 1, 2024, 5:44 PM

#

yep

glass ruin Apr 1, 2024, 5:46 PM

#

oo okay so once i get h^3+3h^2x+3hx^2+x^3 i can just distribute the 3 from the original function

inner parrot Apr 1, 2024, 5:46 PM

#

yep

glass ruin Apr 1, 2024, 5:46 PM

#

cool thank u yoshi

inner parrot Apr 1, 2024, 5:46 PM

#

what you got there is right

#

yw!

glass ruin Apr 1, 2024, 5:46 PM

#

.close

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heady axle Apr 1, 2024, 6:40 PM

#

i dont know how to put this but can someone explain long division to me?

safe radishBOT Apr 1, 2024, 6:40 PM

#

heady axle i dont know how to put this but can someone explain long division to me?

edgy pendant Apr 1, 2024, 6:41 PM

#

heady axle i dont know how to put this but can someone explain long division to me?

Long division for numbers or polynomials?

heady axle Apr 1, 2024, 6:41 PM

#

for numbers

edgy pendant Apr 1, 2024, 6:42 PM

#

heady axle for numbers

https://www.mathsisfun.com/long_division.html

#

Check this

median vigil Apr 1, 2024, 6:42 PM

#

https://www.khanacademy.org/math/arithmetic-home/multiply-divide/mult-digit-div-2/v/division-2

Khan Academy

Intro to long division (remainders) (video) | Khan Academy

Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

heady axle Apr 1, 2024, 6:42 PM

#

grrr khan academy is my enemy lol

#

thanks yall

#

.close

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Channel closed

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crude quarry Apr 1, 2024, 7:47 PM

#

i've tried this in several ways already, and it seems that i'm at a loss 😞

safe radishBOT Apr 1, 2024, 7:47 PM

#

crude quarry i've tried this in several ways already, and it seems that i'm at a loss 😞

#

@crude quarry Has your question been resolved?

median vigil Apr 1, 2024, 8:15 PM

#

it may help to start by drawing a diagram of the situation

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sand vault Apr 1, 2024, 8:24 PM

#

Is this property correct? and if so, why?

safe radishBOT Apr 1, 2024, 8:24 PM

#

sand vault Is this property correct? and if so, why?

sand vault Apr 1, 2024, 8:24 PM

#

How can I demonstrate it?

rare flax Apr 1, 2024, 8:25 PM

#

yes

#

write √x = x^1/2

sand vault Apr 1, 2024, 8:30 PM

#

Mhh, is this correct? It might look painfully inaccurate to someone but I think I got it 🙂

#

I think I understood it, thanks yall

#

.close

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icy crystal Apr 1, 2024, 11:19 PM

#

Hi I'm doing some derivative combination problems and I'm pretty confident in my math however wolfram alpha and the answer key both list it as incorrect so can you take a look and tell me if it's just in a different order and if not then what I did wrong?

safe radishBOT Apr 1, 2024, 11:19 PM

#

icy crystal Hi I'm doing some derivative combination problems and I'm pretty confident in my...

icy crystal Apr 1, 2024, 11:19 PM

#

one moment to upload a picture

#

<@&286206848099549185>

bold hinge Apr 1, 2024, 11:24 PM

#

can u make that more clearer please

icy crystal Apr 1, 2024, 11:24 PM

#

one moment

bold hinge Apr 1, 2024, 11:25 PM

#

take your time

icy crystal Apr 1, 2024, 11:25 PM

#

y=(5^x+3x^5)(sec(x))

#

that's the function

#

what I got for the derivative is

#

((5^xlog(x)+15x^4)(sec(x))+((5^x+3x^5)(sec(x)tan(x)))

bold hinge Apr 1, 2024, 11:30 PM

#

i got sec(x)((5^x + 3x^5)tan(x) + In(5)*5^x + 15x^4)

#

@icy crystal

#

use the product rule to find the answer

icy crystal Apr 1, 2024, 11:31 PM

#

huh

#

that's what I did......

#

one sedone

#

second

#

so the product rule is d/dx=(f'g)+(fg')

bold hinge Apr 1, 2024, 11:33 PM

#

yes

icy crystal Apr 1, 2024, 11:33 PM

#

okay one moment

bold hinge Apr 1, 2024, 11:34 PM

#

u got 5^xlog(x) wrong

icy crystal Apr 1, 2024, 11:34 PM

#

oh

#

how did I get it incorrect?

bold hinge Apr 1, 2024, 11:37 PM

#

srry i was away

#

my friend called me

icy crystal Apr 1, 2024, 11:38 PM

#

I don't understand the derivative of 5^x+3x^5 is 5log(5)

#

it's fine

#

i'm just desperatly trying to not fail the test tommorow

#

lol

bold hinge Apr 1, 2024, 11:38 PM

#

do find dy/dx of 5^x

icy crystal Apr 1, 2024, 11:38 PM

#

wait it's implicit?

bold hinge Apr 1, 2024, 11:38 PM

#

you have to do In(5) * 5^x

bold hinge Apr 1, 2024, 11:39 PM

#

icy crystal wait it's implicit?

no

icy crystal Apr 1, 2024, 11:39 PM

#

the derivative of in(5) is one over 5 correct?

bold hinge Apr 1, 2024, 11:40 PM

#

no

#

only for a variable

icy crystal Apr 1, 2024, 11:40 PM

#

okay ln of x is one over x

bold hinge Apr 1, 2024, 11:41 PM

#

yes

icy crystal Apr 1, 2024, 11:41 PM

#

so ln of 5 is

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does not exist?

bold hinge Apr 1, 2024, 11:41 PM

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it's 0

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what grade are you in?

icy crystal Apr 1, 2024, 11:41 PM

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college freshman

bold hinge Apr 1, 2024, 11:41 PM

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alr

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guess my age

icy crystal Apr 1, 2024, 11:42 PM

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16-24?

bold hinge Apr 1, 2024, 11:42 PM

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no

icy crystal Apr 1, 2024, 11:42 PM

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34?

bold hinge Apr 1, 2024, 11:42 PM

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no

icy crystal Apr 1, 2024, 11:42 PM

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somewhere in your 40s?

bold hinge Apr 1, 2024, 11:43 PM

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nup

icy crystal Apr 1, 2024, 11:43 PM

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anyway

bold hinge Apr 1, 2024, 11:43 PM

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im 14

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it's alr though

icy crystal Apr 1, 2024, 11:43 PM

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I was close the first time

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so ln of x being one of x is only true if it's a variable

bold hinge Apr 1, 2024, 11:44 PM

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yes

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but In 5x is 1/5x

icy crystal Apr 1, 2024, 11:44 PM

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yeah I was right on that

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let me reset it

bold hinge Apr 1, 2024, 11:45 PM

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srry my bad

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In 5x is 1/x

icy crystal Apr 1, 2024, 11:46 PM

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and that's always true regardless of weather or not it's a variable?

bold hinge Apr 1, 2024, 11:47 PM

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if there exists bx s.t for all b is part of all integers, dy/dx bx = 1/x

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s.t = such that

obtuse plover Apr 1, 2024, 11:47 PM

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ln(bx) not just bx

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and its for all reals, not just integers

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@bold hinge

bold hinge Apr 1, 2024, 11:48 PM

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mb

icy crystal Apr 1, 2024, 11:48 PM

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gotcha well I think my derivative skills are pretty good just need to work on that

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got it

bold hinge Apr 1, 2024, 11:48 PM

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im just tired in the morning

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srry for my mistake @icy crystal

icy crystal Apr 1, 2024, 11:50 PM

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got it well let me try again

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on a different problem

bold hinge Apr 1, 2024, 11:51 PM

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sure

safe radishBOT Apr 2, 2024, 12:05 AM

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@icy crystal Has your question been resolved?

safe radishBOT Apr 2, 2024, 12:20 AM

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kindred saffron Apr 2, 2024, 12:24 AM

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Hi everyone! I was wondering if I was doing this problem right. The question asked to find QP, and I got 17.7 based on this work, though I feel like I'm doing something wrong. (Sorry for the messy handwriting)

safe radishBOT Apr 2, 2024, 12:24 AM

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kindred saffron Hi everyone! I was wondering if I was doing this problem right. The question ask...

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@kindred saffron Has your question been resolved?

kindred saffron Apr 2, 2024, 12:43 AM

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<@&286206848099549185>

trim swan Apr 2, 2024, 1:08 AM

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kindred saffron Hi everyone! I was wondering if I was doing this problem right. The question ask...

Is there something in particular you don't understand?

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The work is good

kindred saffron Apr 2, 2024, 1:09 AM

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trim swan Is there something in particular you don't understand?

Did I get it correct? Thank you for answering so quickly!

trim swan Apr 2, 2024, 1:09 AM

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Yeah everything looks good 👍

kindred saffron Apr 2, 2024, 1:09 AM

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Alright, thanks. I was just confused cause I normally don't get decimals.

trim swan Apr 2, 2024, 1:10 AM

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No problem 👍

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With pythagorean you're bound to get decimals sometimes

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unless you just simplify the radical instead of estimating it with a decimal

kindred saffron Apr 2, 2024, 1:13 AM

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trim swan unless you just simplify the radical instead of estimating it with a decimal

Yeah, thanks for checking it!

trim swan Apr 2, 2024, 1:14 AM

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sure thing no problem

safe radishBOT Apr 2, 2024, 1:43 AM

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@kindred saffron Has your question been resolved?

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safe radishBOT Apr 2, 2024, 2:20 AM

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stiff stag Apr 2, 2024, 2:25 AM

#

What is the angular size of an arc that a diameter intercepts?

safe radishBOT Apr 2, 2024, 2:25 AM

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stiff stag What is the angular size of an arc that a diameter intercepts?

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@stiff stag Has your question been resolved?

safe radishBOT Apr 2, 2024, 3:22 AM

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@stiff stag Has your question been resolved?

steel stag Apr 2, 2024, 3:23 AM

#

stiff stag What is the angular size of an arc that a diameter intercepts?

half the circle so 180 right?

safe radishBOT Apr 2, 2024, 3:52 AM

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safe radishBOT Apr 2, 2024, 9:05 AM

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rose plume Apr 2, 2024, 9:11 AM

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safe radishBOT Apr 2, 2024, 9:11 AM

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rose plume

rose plume Apr 2, 2024, 9:11 AM

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Hi. I'm trying to decompose the normal force of an object in circular motion in radial and angular components. However, why am I getting a non-zero angular component? Did I make a mistake?

safe radishBOT Apr 2, 2024, 9:26 AM

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@rose plume Has your question been resolved?

devout shale Apr 2, 2024, 9:27 AM

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Obligatory looks like physics so I tag @empty gyro

safe radishBOT Apr 2, 2024, 9:56 AM

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@rose plume Has your question been resolved?

rose plume Apr 2, 2024, 10:08 AM

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my bias is drawing N already perpendicular to the surface... but wouldn't normal force stop being, normal? It would be more like the force required to preserve the circular motion. But how does this even make sense?

safe radishBOT Apr 2, 2024, 11:08 AM

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@rose plume Has your question been resolved?

white beacon Apr 2, 2024, 12:30 PM

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what i'd like to ask is there are two different coordinates of R idk why it is considered the (-13,0) neglecting (3,2)

white beacon Apr 2, 2024, 12:54 PM

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@safe radish

safe radishBOT Apr 2, 2024, 1:34 PM

#

@rose plume Has your question been resolved?

safe radishBOT Apr 2, 2024, 3:34 PM

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frosty granite Apr 2, 2024, 3:37 PM

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Is this remotely correct

safe radishBOT Apr 2, 2024, 3:37 PM

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frosty granite Is this remotely correct

frosty granite Apr 2, 2024, 3:37 PM

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Looks nothing like the books ans

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This is the book answer; I can’t tell if its just my thing simplified or if im completely off

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<@&286206848099549185>

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I’m correct yay

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.close

safe radishBOT Apr 2, 2024, 4:03 PM

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safe radishBOT Apr 2, 2024, 4:18 PM

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devout blade Apr 2, 2024, 4:19 PM

#

safe radishBOT Apr 2, 2024, 4:19 PM

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devout blade

devout blade Apr 2, 2024, 4:19 PM

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pls

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im so cooked

safe radishBOT Apr 2, 2024, 4:20 PM

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Show your work, and if possible, explain where you are stuck.

frozen marlin Apr 2, 2024, 4:20 PM

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M = 10p + q
N = 10q + p

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use this

lusty thicket Apr 2, 2024, 4:20 PM

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hello, i need help in topology.

if S1 x S1 = Tours = T
then what T x T = ?

safe radishBOT Apr 2, 2024, 4:20 PM

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Someone else is already using this help channel. If you need help with a question, please open your own help channel/thread (see #❓how-to-get-help for instructions).

devout blade Apr 2, 2024, 4:20 PM

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frozen marlin M = 10p + q N = 10q + p

yea the marking scheme also told me this but like why "10p"

frozen marlin Apr 2, 2024, 4:20 PM

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lusty thicket hello, i need help in topology. if S1 x S1 = Tours = T then what T x T = ?

@lusty thicket ^^

frozen marlin Apr 2, 2024, 4:20 PM

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devout blade yea the marking scheme also told me this but like why "10p"

?

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because the tens digit represents the number of 10s

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so in 21, 2 means 2 10s

devout blade Apr 2, 2024, 4:21 PM

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why not, M= p + q

frozen marlin Apr 2, 2024, 4:21 PM

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so in pq (where its a digit and NOT multiplication), p means p 10s and q means q 1s

devout blade Apr 2, 2024, 4:21 PM

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frozen marlin so in 21, 2 means 2 10s

ye

frozen marlin Apr 2, 2024, 4:21 PM

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devout blade why not, M= p + q

that's... not how notation works?

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e.g. in 31, 3 is the tens digit and therefore represents 3 sets of 10
in 919, "1" is the tens digit and therefore represents one set of 10
so on

devout blade Apr 2, 2024, 4:22 PM

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so if it was 100s

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it woulld be 100p

frozen marlin Apr 2, 2024, 4:22 PM

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yes

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depends

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if p is the hundreds digit

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then yes 100p

devout blade Apr 2, 2024, 4:22 PM

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frozen marlin e.g. in 31, 3 is the tens digit and therefore represents 3 sets of 10 in 919, "1...

i see

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i see okay

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ty ❤️

frozen marlin Apr 2, 2024, 4:22 PM

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alr

#

np

safe radishBOT Apr 2, 2024, 4:22 PM

#

If you are done with this channel, please mark your problem as solved by typing .close

frozen marlin Apr 2, 2024, 4:22 PM

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:D

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@devout blade

devout blade Apr 2, 2024, 4:23 PM

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yes?

devout blade Apr 2, 2024, 4:23 PM

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frozen marlin <@477127942795821066>

whats up?

frozen marlin Apr 2, 2024, 4:24 PM

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nothing

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are you done with the channel

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like did i solve ur question

devout blade Apr 2, 2024, 4:24 PM

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yes

frozen marlin Apr 2, 2024, 4:24 PM

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or do ypou need help with smth else

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oh okay then

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do .close then please

devout blade Apr 2, 2024, 4:24 PM

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no prob will tho

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later

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okau

frozen marlin Apr 2, 2024, 4:24 PM

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ah ok

devout blade Apr 2, 2024, 4:24 PM

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.close

safe radishBOT Apr 2, 2024, 4:24 PM

#

Channel closed

Closed by @devout blade

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frozen marlin Apr 2, 2024, 4:25 PM

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you can open another channel if u need help later, k?

devout blade Apr 2, 2024, 4:25 PM

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yea thanks

frozen marlin Apr 2, 2024, 4:25 PM

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np

safe radishBOT Apr 2, 2024, 4:39 PM

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round adder Apr 2, 2024, 4:45 PM

#

I need help with this question

An elevator can hold the weight of 8 adults or 12 children. How many children could ride on the elevator with 6 adults?

safe radishBOT Apr 2, 2024, 4:45 PM

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round adder I need help with this question An elevator can hold the weight of 8 adults or ...

granite fossil Apr 2, 2024, 4:48 PM

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round adder I need help with this question An elevator can hold the weight of 8 adults or ...

How many more adults can the elevator hold?

round adder Apr 2, 2024, 4:53 PM

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No how much children can ride with them

obtuse plover Apr 2, 2024, 4:53 PM

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set up some proportions

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@granite fossil

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oops

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@round adder

granite fossil Apr 2, 2024, 4:55 PM

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round adder No how much children can ride with them

you need to find the n/o of adults more

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then get the ratio

round adder Apr 2, 2024, 4:55 PM

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I got as far as 2/3 adults is equal to 1 child

granite fossil Apr 2, 2024, 4:55 PM

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write it as a ratio

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2:3

round adder Apr 2, 2024, 4:55 PM

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Ok

granite fossil Apr 2, 2024, 4:55 PM

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and how many more adults can the elevator hold?

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2

obtuse plover Apr 2, 2024, 4:55 PM

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Ok 2/3 adults = 1 child

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6 adults = ? Child

granite fossil Apr 2, 2024, 4:56 PM

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i mean

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there are 2 ways to solve it

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you can do it stephens' way or mine

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both take the same amt of steps

round adder Apr 2, 2024, 4:57 PM

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I got that the elevator can hold 6 adults and 6 children

round adder Apr 2, 2024, 4:57 PM

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granite fossil you can do it stephens' way or mine

Can you show me yours

granite fossil Apr 2, 2024, 4:57 PM

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try again

granite fossil Apr 2, 2024, 4:57 PM

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round adder Can you show me yours

how many more adults can you fit in the elevator

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2 adults right

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and whats the ratio between adult nd children

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2:3

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2 adults to 3 children

round adder Apr 2, 2024, 4:58 PM

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Yes

granite fossil Apr 2, 2024, 4:58 PM

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since 2 adults corelates to 3 children

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we can fir 3 more children in the elevator

round adder Apr 2, 2024, 4:58 PM

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Oh

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I see

#

Thanks!

obtuse plover Apr 2, 2024, 5:00 PM

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what did u get for the answer

granite fossil Apr 2, 2024, 5:01 PM

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obtuse plover what did u get for the answer

he originally got 6

granite fossil Apr 2, 2024, 5:01 PM

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round adder I got that the elevator can hold 6 adults and 6 children

.

safe radishBOT Apr 2, 2024, 5:14 PM

#

@round adder Has your question been resolved?

safe radishBOT Apr 2, 2024, 5:29 PM

#

Channel closed

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safe radishBOT Apr 2, 2024, 5:49 PM

#

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late egret Apr 2, 2024, 5:55 PM

#

can someone help me with this question ? I have problems with this kind of questions

safe radishBOT Apr 2, 2024, 5:55 PM

#

late egret can someone help me with this question ? I have problems with this kind of quest...

#

@late egret Has your question been resolved?

late egret Apr 2, 2024, 6:12 PM

#

<@&286206848099549185> what do you think I should do I'm really stuck

late egret Apr 2, 2024, 6:29 PM

#

.close

safe radishBOT Apr 2, 2024, 6:29 PM

#

Channel closed

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safe radishBOT Apr 2, 2024, 6:59 PM

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plucky swan Apr 2, 2024, 7:03 PM

#

rn_image_picker_lib_temp_b1043697-1f44-4ccb-8bf4-b74f4f2a9226.jpg

safe radishBOT Apr 2, 2024, 7:03 PM

#

plucky swan

plucky swan Apr 2, 2024, 7:03 PM

#

3D Vectors

#

I found the POI (-2.6, - 0.2, 0) but what does it mean by the question about lamba being unique?

#

Lambda is - 3 / 5 for this solution

light shoal Apr 2, 2024, 7:05 PM

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,rotate