#help-23 | Mathematics | Page 141

grim plover Sep 17, 2023, 2:16 PM

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Show work

lean otter Sep 17, 2023, 2:18 PM

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Where did i go wrong with my logical formula

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Would this not be correct

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??

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.close

safe radishBOT Sep 17, 2023, 2:34 PM

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unique cradle Sep 17, 2023, 2:54 PM

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Screenshot_2023-09-17_at_10.53.01_AM.png

safe radishBOT Sep 17, 2023, 2:54 PM

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unique cradle

unique cradle Sep 17, 2023, 2:54 PM

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Would the scalar component By be negative or positive

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Is it relative to the axes or the parent vector

safe radishBOT Sep 17, 2023, 3:09 PM

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@unique cradle Has your question been resolved?

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woven rampart Sep 17, 2023, 3:16 PM

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3x-[x-(4x+3y)+5y

safe radishBOT Sep 17, 2023, 3:16 PM

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woven rampart 3x-[x-(4x+3y)+5y

woven rampart Sep 17, 2023, 3:16 PM

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can somone help me simplefy

solid fjord Sep 17, 2023, 3:16 PM

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complete curved brackets first

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3x-x-4x-3y+5y

frigid locust Sep 17, 2023, 3:16 PM

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the question is incomplete , u are missing the closed square bracket

solid fjord Sep 17, 2023, 3:17 PM

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when you have -(x+y), both terms get sign-flipped

woven rampart Sep 17, 2023, 3:17 PM

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frigid locust the question is incomplete , u are missing the closed square bracket

3x-[x-(4x+3y)+5y] typo

frigid locust Sep 17, 2023, 3:17 PM

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do as dan said and then solve square brackets

solid fjord Sep 17, 2023, 3:17 PM

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well then

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solve curved brackets then square brackets

woven rampart Sep 17, 2023, 3:17 PM

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solid fjord well then

thanks

solid fjord Sep 17, 2023, 3:17 PM

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look out for minus coefficients

woven rampart Sep 17, 2023, 3:18 PM

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solid fjord look out for minus coefficients

why

solid fjord Sep 17, 2023, 3:18 PM

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say i have 7 - (3x + y)

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what is the expansion

woven rampart Sep 17, 2023, 3:18 PM

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ummm

solid fjord Sep 17, 2023, 3:19 PM

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ill simplify

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what is 3 + 2

woven rampart Sep 17, 2023, 3:19 PM

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5

solid fjord Sep 17, 2023, 3:19 PM

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what is 7 - (3 + 2)

woven rampart Sep 17, 2023, 3:19 PM

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2

solid fjord Sep 17, 2023, 3:19 PM

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which is the same as 7 - 3 - 2

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notice the sign behind the two

woven rampart Sep 17, 2023, 3:19 PM

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yeah

solid fjord Sep 17, 2023, 3:19 PM

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it changed

woven rampart Sep 17, 2023, 3:20 PM

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ohhh

solid fjord Sep 17, 2023, 3:20 PM

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so if you have 7 - (3x + y)

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its...

woven rampart Sep 17, 2023, 3:20 PM

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7-3x-y??

solid fjord Sep 17, 2023, 3:20 PM

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yeah

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you got it

woven rampart Sep 17, 2023, 3:20 PM

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ohhh

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thanks

solid fjord Sep 17, 2023, 3:20 PM

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np

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anymore?

woven rampart Sep 17, 2023, 3:20 PM

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no thank you

solid fjord Sep 17, 2023, 3:21 PM

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ok close the channel

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.close

woven rampart Sep 17, 2023, 3:21 PM

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.close

safe radishBOT Sep 17, 2023, 3:21 PM

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Channel closed

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safe radishBOT Sep 17, 2023, 3:40 PM

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sterile dawn Sep 17, 2023, 3:45 PM

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safe radishBOT Sep 17, 2023, 3:45 PM

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sterile dawn

sterile dawn Sep 17, 2023, 3:46 PM

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I have no idea what I was doing here tinktonk

safe radishBOT Sep 17, 2023, 4:01 PM

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@sterile dawn Has your question been resolved?

sterile dawn Sep 17, 2023, 4:03 PM

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<@&286206848099549185>

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.close

safe radishBOT Sep 17, 2023, 4:07 PM

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calm tinsel Sep 17, 2023, 4:11 PM

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Im working this problem for Calc 1 but am confused because it seems it calls for the quotient rule and the product rule. In that case if I had to use both wouldnt I end up with a derivative of a derivative? am I overthinking this one?

safe radishBOT Sep 17, 2023, 4:11 PM

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calm tinsel Im working this problem for Calc 1 but am confused because it seems it calls for...

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@calm tinsel Has your question been resolved?

safe radishBOT Sep 17, 2023, 4:41 PM

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drifting ridge Sep 17, 2023, 4:45 PM

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Why is |-3| < |-5|

safe radishBOT Sep 17, 2023, 4:45 PM

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drifting ridge Why is |-3| < |-5|

drifting ridge Sep 17, 2023, 4:45 PM

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and not the other way around

lean otter Sep 17, 2023, 4:45 PM

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drifting ridge Why is |-3| < |-5|

First of all, do you know what || means?

drifting ridge Sep 17, 2023, 4:45 PM

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isnt -3 larger than -5

lean otter Sep 17, 2023, 4:46 PM

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Yes

twilit spindle Sep 17, 2023, 4:46 PM

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drifting ridge isnt -3 larger than -5

yes

lean otter Sep 17, 2023, 4:46 PM

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-3 is larger than -5

twilit spindle Sep 17, 2023, 4:46 PM

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lean otter First of all, do you know what || means?

think about this comment ^

lean otter Sep 17, 2023, 4:46 PM

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However, |-3| is less than |-5|

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Do you know what || is?

drifting ridge Sep 17, 2023, 4:46 PM

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twilit spindle think about this comment ^

is it because the absolute value of |-5| is higher than |-3|

lean otter Sep 17, 2023, 4:47 PM

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drifting ridge is it because the absolute value of |-5| is higher than |-3|

Yes

twilit spindle Sep 17, 2023, 4:47 PM

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drifting ridge is it because the absolute value of |-5| is higher than |-3|

yes because the |x| means the distance from 0

lean otter Sep 17, 2023, 4:47 PM

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-5 is 5 units away from 0, hence |-5|=5

twilit spindle Sep 17, 2023, 4:47 PM

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|-5| is 5 units away from 0, and |-3| is 3 units away

lean otter Sep 17, 2023, 4:47 PM

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There's many ways of thinking of the absolute value

drifting ridge Sep 17, 2023, 4:47 PM

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okay thanks

lean otter Sep 17, 2023, 4:47 PM

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Another way is that it flips negative numbers but keeps non-negative numbers unchanged

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So |1|=1, |2|=2, and |-1|=1

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Yet another way to think about it is that it removes negative signs

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All of these are equivalent definitions

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@drifting ridge Unless you have more questions, you can now .close this channel

twilit spindle Sep 17, 2023, 4:48 PM

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$
|x|=
[
\begin{cases}
-x,&\text{ for }x<0\
x,&\text{ for }x\geq0
\end{cases}
]
$

flat frigateBOT Sep 17, 2023, 4:48 PM

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

twilit spindle Sep 17, 2023, 4:48 PM

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this is another definition

drifting ridge Sep 17, 2023, 4:49 PM

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.close

safe radishBOT Sep 17, 2023, 4:49 PM

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Channel closed

Closed by @drifting ridge

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lean otter Sep 17, 2023, 4:50 PM

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flat frigate **MrFancy** Compile Error! Click the <:errors:504266556054962196> reaction for m...

.This is basically the formal phrasing of the "flips negative numbers" definition

safe radishBOT Sep 17, 2023, 4:55 PM

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drifting ridge Sep 17, 2023, 5:00 PM

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safe radishBOT Sep 17, 2023, 5:00 PM

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drifting ridge

drifting ridge Sep 17, 2023, 5:01 PM

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,rotate

flat frigateBOT Sep 17, 2023, 5:01 PM

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drifting ridge Sep 17, 2023, 5:01 PM

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the task ask us to place a or b into the box'

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i dont really understand how to do the task

drifting mountain Sep 17, 2023, 5:03 PM

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I think it's not a or b but is a member of or is not

drifting ridge Sep 17, 2023, 5:03 PM

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its not a or b

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but i dont know how to get those symbols into text

drifting mountain Sep 17, 2023, 5:04 PM

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do you know what that symbol means?

drifting ridge Sep 17, 2023, 5:04 PM

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i read some about it but i dont really understand it

drifting mountain Sep 17, 2023, 5:06 PM

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hm, does it explain it down below?

drifting ridge Sep 17, 2023, 5:06 PM

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it explains it in the previous page but i dont get it

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direct translation:

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we use the symbols " and " to express whether a number is part of a quantity or not

drifting mountain Sep 17, 2023, 5:07 PM

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did you get what a set is?

drifting ridge Sep 17, 2023, 5:07 PM

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no

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are all rational and irrational numbers not a part of a set

drifting mountain Sep 17, 2023, 5:09 PM

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u can think of it like a bag, S = {1,2,3} S is a bag containing 1,2,3 and only that

drifting ridge Sep 17, 2023, 5:09 PM

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yes

drifting mountain Sep 17, 2023, 5:10 PM

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so 1 belongs to S but 11 does not

drifting ridge Sep 17, 2023, 5:10 PM

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right

drifting mountain Sep 17, 2023, 5:10 PM

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N is a set of natural numbers

drifting ridge Sep 17, 2023, 5:10 PM

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yes

drifting mountain Sep 17, 2023, 5:10 PM

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the ones we count with 1,2,3...

drifting ridge Sep 17, 2023, 5:10 PM

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yes

drifting mountain Sep 17, 2023, 5:11 PM

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Z are integers

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... -1, 0, 1, 2, ...

drifting ridge Sep 17, 2023, 5:11 PM

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yes

drifting mountain Sep 17, 2023, 5:12 PM

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so -1 belongs to Z but not to N

drifting ridge Sep 17, 2023, 5:12 PM

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yes

drifting mountain Sep 17, 2023, 5:12 PM

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Q are rational numbers

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ie the numbers that can be expressed as p/q where p and q are int and q=/=0

drifting ridge Sep 17, 2023, 5:14 PM

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huh

drifting mountain Sep 17, 2023, 5:15 PM

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so does 8.5 belong to Z?

drifting ridge Sep 17, 2023, 5:15 PM

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drifting mountain ie the numbers that can be expressed as p/q where p and q are int and q=/=0

i didnt ge tthis

drifting mountain Sep 17, 2023, 5:17 PM

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like 1/2, 2/1=2, 123/321 etc

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p and q belong to Z

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q not 0

drifting ridge Sep 17, 2023, 5:21 PM

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flat frigate

what is b and why

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@drifting mountain

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it says that b is not a part of the set and c is

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i dont understand why

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because pi is 3,14 etc no?

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so why is 3,14/3 not a part of the set

drifting mountain Sep 17, 2023, 5:24 PM

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pi is irrational, you cannot present it in a form p/q

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so it doesn't belong to Q

drifting ridge Sep 17, 2023, 5:24 PM

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isnt Q for both irrational and rational

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what is the symbol for irrational

drifting mountain Sep 17, 2023, 5:24 PM

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3.14 is rational because 314/100

drifting ridge Sep 17, 2023, 5:25 PM

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drifting mountain pi is irrational, you cannot present it in a form p/q

i dont understand what p/q really means

drifting mountain Sep 17, 2023, 5:25 PM

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A fraction

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Q is for rational

drifting ridge Sep 17, 2023, 5:26 PM

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so what is the symbol for irrational

drifting mountain Sep 17, 2023, 5:26 PM

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R-Q is irrational

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Because real R is a union of rational and irrational

drifting ridge Sep 17, 2023, 5:28 PM

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R minus Q?

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or

drifting mountain Sep 17, 2023, 5:30 PM

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yup

drifting ridge Sep 17, 2023, 5:30 PM

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so b is irrational

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what about c

drifting mountain Sep 17, 2023, 5:30 PM

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3.14= 314/100

drifting ridge Sep 17, 2023, 5:31 PM

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so if its decimals its Q?

drifting mountain Sep 17, 2023, 5:31 PM

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if it's finite decimals

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or repeating

drifting ridge Sep 17, 2023, 5:31 PM

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like 1.333333333333333333?

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4/3

drifting mountain Sep 17, 2023, 5:32 PM

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yes, that's 4/3

drifting ridge Sep 17, 2023, 5:32 PM

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okay

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thanks for the help

drifting mountain Sep 17, 2023, 5:32 PM

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don't forget to .close if there are no more questions

drifting ridge Sep 17, 2023, 5:32 PM

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yep

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.close

safe radishBOT Sep 17, 2023, 5:32 PM

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Channel closed

Closed by @drifting ridge

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Available help channel!

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

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umbral solar Sep 17, 2023, 5:41 PM

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safe radishBOT Sep 17, 2023, 5:41 PM

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umbral solar

umbral solar Sep 17, 2023, 5:41 PM

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Guys

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is this correct ⚔️ way to write exponential trend in log form?

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or like this with * on the variable time (x_t)

calm bridge Sep 17, 2023, 5:44 PM

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why the second one?

umbral solar Sep 17, 2023, 5:44 PM

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chatgpt make mistake i think

calm bridge Sep 17, 2023, 5:44 PM

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ahh chatgpt

umbral solar Sep 17, 2023, 5:44 PM

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when in log form its no longer expoennt right?

calm bridge Sep 17, 2023, 5:44 PM

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🛡️

calm bridge Sep 17, 2023, 5:45 PM

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umbral solar when in log form its no longer expoennt right?

wdym

umbral solar Sep 17, 2023, 5:45 PM

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is good log form?

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calm bridge Sep 17, 2023, 5:45 PM

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the first one is correct

umbral solar Sep 17, 2023, 5:45 PM

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Non-logform

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oh w8!

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why?

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whot?!

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m8

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howcome?

calm bridge Sep 17, 2023, 5:45 PM

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umbral solar

you tell me, why do you think this is true?

umbral solar Sep 17, 2023, 5:45 PM

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because i solved task with this log form of exponential trend

flat frigateBOT Sep 17, 2023, 5:46 PM

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Dyssrupt

umbral solar Sep 17, 2023, 5:46 PM

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and X was never a exponent

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in log form tasks

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they give like this

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all time

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hmmm

calm bridge Sep 17, 2023, 5:46 PM

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flat frigate **Dyssrupt**

give these a read

umbral solar Sep 17, 2023, 5:47 PM

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innit?

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the thing

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that im talkin bout?

calm bridge Sep 17, 2023, 5:48 PM

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this is true, but your second image isnt

umbral solar Sep 17, 2023, 5:48 PM

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oh

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i forgot chatgpt

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Furthermore, we apply the property of logarithms so that we can move the exponent from the logarithm:

ln(ŷ) = ln(4041.4) + x_t * ln(2.078)

calm bridge Sep 17, 2023, 5:48 PM

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this is true ^

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no wait

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this too isnt

umbral solar Sep 17, 2023, 5:49 PM

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Man...

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so you tellin me ChatGPT is wrong? 😂

calm bridge Sep 17, 2023, 5:49 PM

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it always has been

umbral solar Sep 17, 2023, 5:49 PM

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😂 opencry

twilit spindle Sep 17, 2023, 5:49 PM

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yes

calm bridge Sep 17, 2023, 5:50 PM

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win this war without chatgpt

umbral solar Sep 17, 2023, 5:50 PM

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yo

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war is in 2 days

calm bridge Sep 17, 2023, 5:50 PM

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chatgpt's shit with math

calm bridge Sep 17, 2023, 5:50 PM

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umbral solar war is in 2 days

it has already begun

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and you lost it today

umbral solar Sep 17, 2023, 5:50 PM

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statistics on 19th and microeconomic on 20th

calm bridge Sep 17, 2023, 5:50 PM

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⚔️

umbral solar Sep 17, 2023, 5:51 PM

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Landing with amphibious vehicle in college

safe radishBOT Sep 17, 2023, 6:06 PM

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@umbral solar Has your question been resolved?

safe radishBOT Sep 17, 2023, 6:21 PM

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Channel closed

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

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

junior wagon Sep 17, 2023, 6:25 PM

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safe radishBOT Sep 17, 2023, 6:25 PM

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junior wagon

junior wagon Sep 17, 2023, 6:25 PM

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Why is this line true?

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.close

safe radishBOT Sep 17, 2023, 6:27 PM

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Closed by @junior wagon

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

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

mellow star Sep 17, 2023, 6:37 PM

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Hi

safe radishBOT Sep 17, 2023, 6:37 PM

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mellow star Hi

mellow star Sep 17, 2023, 6:37 PM

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i have a task to start a research project

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For school

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and I have to come up with a research question first

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I was thinking of doing smth in higher dimensions

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But I couldn't think of anything

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Does anyone have any ideas ?

vast obsidian Sep 17, 2023, 6:40 PM

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Maybe try to show the closed formula of the fibonnaci numbers using linear algebra

mellow star Sep 17, 2023, 6:40 PM

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As an idea one of my friends did " how to find the average area of a rotating n dimensional objects n -1 projection "

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Or smth simmilar

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don't quite remember it

mellow star Sep 17, 2023, 6:41 PM

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vast obsidian Maybe try to show the closed formula of the fibonnaci numbers using linear algeb...

I'll look into it rn

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No sorry that won't work

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Have you got anything else?

vast obsidian Sep 17, 2023, 6:54 PM

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mellow star Have you got anything else?

How much effort should the project be?

mellow star Sep 17, 2023, 6:55 PM

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uhm one sec

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About 30 hours

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I'm in the 12th grade ib program in hl maths AA if that helps

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<@&286206848099549185>

safe radishBOT Sep 17, 2023, 7:17 PM

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@mellow star Has your question been resolved?

mellow star Sep 17, 2023, 7:23 PM

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<@&286206848099549185> please I'm open to all ideas 😭

vast obsidian Sep 17, 2023, 7:33 PM

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I have no idea what ib, hl means but an interesting topic could be different "Monster functions". Those are functions that are everywhere continous, but nowhere differentiable, which got their name from the fact that they break our intuition. Not sure if that sounds interesting for you or if the level is adequate.

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Weierstrass function is an example, but there exist other ones, too

mellow star Sep 17, 2023, 7:34 PM

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The level is basically first year undergrad

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I can use calculus if I need to

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Actually im urged to use it

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ib it's just like a programme and

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Hl means high level

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I'll look into them now gimme a min thanks

vast obsidian Sep 17, 2023, 7:36 PM

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First year undergrad fits for the topic

vast obsidian Sep 17, 2023, 7:36 PM

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mellow star I'll look into them now gimme a min thanks

I can send you an essay if needed

mellow star Sep 17, 2023, 7:37 PM

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Yeah please

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also I link would work if there's a video or website explaining it a bit

vast obsidian Sep 17, 2023, 7:42 PM

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mellow star also I link would work if there's a video or website explaining it a bit

I sent you the essay. Idk if that topic is interesting, but if you want to do some more research about this there are similiar/easier functions with this behaviour

mellow star Sep 17, 2023, 7:44 PM

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I will Ty so much

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I'll also have to come up with

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A title

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The hard part is that

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The title has to be in question form

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So like the essay can't just be me explaining some math it also has to include me doing something different from everyone else

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Otherwise I would have enjoyed just blabbing about anything I love maths

vast obsidian Sep 17, 2023, 7:48 PM

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Ok, then I have no idea. Good luck finding a topic 🙂 I'd have enjoyed to write about mathematics when I was in school, too. But unfortunately, they put me in the german course

mellow star Sep 17, 2023, 7:48 PM

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Daym

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Is there any real world application to these monster functions?

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If they put me in German I would have

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Flown out the window

vast obsidian Sep 17, 2023, 7:51 PM

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Despite the fact that its existence was groundbreaking at the time calculus was still rather young, it doesn't have a lot of practical applications. I think I read about some guys modelling molecular motion with it. The most interesting part about it is its historical value

mellow star Sep 17, 2023, 7:52 PM

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Ah okay

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Welp thanks for everything and I'll

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Read into it now

#

I'll let you know what I end up doing

#

Thanks

#

.close

safe radishBOT Sep 17, 2023, 7:59 PM

#

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wide cloud Sep 17, 2023, 8:10 PM

#

So I know I did a-c but I still don't get it aswell as D

safe radishBOT Sep 17, 2023, 8:10 PM

#

wide cloud So I know I did a-c but I still don't get it aswell as D

wide cloud Sep 17, 2023, 8:10 PM

#

cold aurora Sep 17, 2023, 8:18 PM

#

You mean that you aren't getting part (d)?

wide cloud Sep 17, 2023, 8:19 PM

#

nah im not getting all of them

wide cloud Sep 17, 2023, 8:28 PM

#

wide cloud So I know I did a-c but I still don't get it aswell as D

^

#

.close

safe radishBOT Sep 17, 2023, 8:33 PM

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barren kraken Sep 17, 2023, 9:04 PM

#

safe radishBOT Sep 17, 2023, 9:04 PM

#

barren kraken

barren kraken Sep 17, 2023, 9:04 PM

#

I need help with this

flat perch Sep 17, 2023, 9:04 PM

#

!status

safe radishBOT Sep 17, 2023, 9:04 PM

#

What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above

flat perch Sep 17, 2023, 9:05 PM

#

,rotate

flat frigateBOT Sep 17, 2023, 9:05 PM

#

barren kraken Sep 17, 2023, 9:05 PM

#

My teacher told the class to do test corrections I just need help with the story problems I always do bad on the these

safe bluff Sep 17, 2023, 9:05 PM

#

word problems are tricky yeah

barren kraken Sep 17, 2023, 9:05 PM

#

safe radish ``` What step are you on? 1. I don't know where to begin 2. I have begun but got...

safe bluff Sep 17, 2023, 9:05 PM

#

flat frigate

ok so you switched the numbers here

#

if x is the number of hours

flat perch Sep 17, 2023, 9:05 PM

#

Ur switched the numbers man

safe bluff Sep 17, 2023, 9:05 PM

#

this would mean that you pay 180 dollars per hour

#

and 92 up front

#

which isn't right

barren kraken Sep 17, 2023, 9:06 PM

#

Ohhh so 180 is at the end?

safe bluff Sep 17, 2023, 9:06 PM

#

yes

flat perch Sep 17, 2023, 9:06 PM

#

Yep

safe bluff Sep 17, 2023, 9:06 PM

#

do you get why?

barren kraken Sep 17, 2023, 9:06 PM

#

Kinda

#

Let me take a picture and see if I got it right this time

safe bluff Sep 17, 2023, 9:07 PM

#

ok

barren kraken Sep 17, 2023, 9:07 PM

#

#

Does this look better?

pale forge Sep 17, 2023, 9:08 PM

#

no

safe bluff Sep 17, 2023, 9:08 PM

#

barren kraken

sorry no

#

it should be 78x + 250

pale forge Sep 17, 2023, 9:08 PM

#

it says 250 plus 78/hr

safe bluff Sep 17, 2023, 9:08 PM

#

and 92x + 180

barren kraken Sep 17, 2023, 9:08 PM

#

Ohhh

#

I was confused because it said 180+92 so I put that first

#

Then I put 250 +78

safe bluff Sep 17, 2023, 9:11 PM

#

ok so can you show me what your new answer is

barren kraken Sep 17, 2023, 9:11 PM

#

#

Does it matter if it looked like this

#

safe bluff Sep 17, 2023, 9:14 PM

#

barren kraken

uh

#

that looks right

#

but then you also need to solve

barren kraken Sep 17, 2023, 9:16 PM

#

Ok but before I do that does it matter if the numbers were switched

#

You can see in the second picture

pale forge Sep 17, 2023, 9:17 PM

#

no because they are equal to each other

barren kraken Sep 17, 2023, 9:17 PM

#

Ok

pale forge Sep 17, 2023, 9:18 PM

#

e.g. 8a=4b is the same as 4b=8a

barren kraken Sep 17, 2023, 9:20 PM

#

#

This is so confusing😭

#

I usually put the like terms together but the answer to this does not make sense

#

Hello??

pale forge Sep 17, 2023, 9:22 PM

#

take out the negatives

#

-14x = -70

#

is the same as 14x = 70

barren kraken Sep 17, 2023, 9:24 PM

#

I did and I still get the same answer

pale forge Sep 17, 2023, 9:24 PM

#

what is your answer?

barren kraken Sep 17, 2023, 9:24 PM

#

Which is 0.2

pale forge Sep 17, 2023, 9:25 PM

#

that’s because you are doing 14 divided by 70

#

its 70 divided by 14

#

x=70/14

#

which is?

barren kraken Sep 17, 2023, 9:27 PM

#

5

pale forge Sep 17, 2023, 9:27 PM

#

so x=5

barren kraken Sep 17, 2023, 9:27 PM

#

But I thought you were supposed to divide the number with the variable by the number with out the variable??

pale forge Sep 17, 2023, 9:28 PM

#

you’re trying to find x

#

if you have 14 x’s you need to divide both sides by 14

barren kraken Sep 17, 2023, 9:29 PM

#

Ohhh I understand now

#

But I can’t just remove the negatives

#

If I never did that I would’ve did

#

-14/-70

#

Which is 24

#

14*

pale forge Sep 17, 2023, 9:30 PM

#

yes its the same it doesnt matter when you remove the negative

barren kraken Sep 17, 2023, 9:30 PM

#

Never mind

#

I still get 5 lol💀

#

Can you help me with one more please

pale forge Sep 17, 2023, 9:31 PM

#

okay

barren kraken Sep 17, 2023, 9:33 PM

#

#

This one was really confusing

pale forge Sep 17, 2023, 9:36 PM

#

,rotate

flat frigateBOT Sep 17, 2023, 9:36 PM

#

pale forge Sep 17, 2023, 9:36 PM

#

you did not add them correctly

#

3x+4+2x-1+2x = 7x+3

pale forge Sep 17, 2023, 9:37 PM

#

barren kraken

so then 7x+3=108

barren kraken Sep 17, 2023, 9:41 PM

#

Wait can you explain how you got 7x+3 pls

pale forge Sep 17, 2023, 9:41 PM

#

combine like terms

#

3x+2x+2x

barren kraken Sep 17, 2023, 9:41 PM

#

Ohhhhh

pale forge Sep 17, 2023, 9:41 PM

#

=?

barren kraken Sep 17, 2023, 9:42 PM

#

7x

#

I just did and they add up to 11x?

pale forge Sep 17, 2023, 9:42 PM

#

how?

barren kraken Sep 17, 2023, 9:42 PM

#

Ohh nvm you didn’t count the 2x-1

#

Ohh my I added a x to the 4

#

#

What do I do after this?

pale forge Sep 17, 2023, 9:45 PM

#

7x+3 =108

#

so solve

barren kraken Sep 17, 2023, 9:48 PM

#

pale forge Sep 17, 2023, 9:48 PM

#

yep

barren kraken Sep 17, 2023, 9:50 PM

#

Thank you so much for the help🫶

safe radishBOT Sep 17, 2023, 10:05 PM

#

@barren kraken Has your question been resolved?

safe radishBOT Sep 17, 2023, 10:20 PM

#

Channel closed

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safe radishBOT Sep 17, 2023, 10:37 PM

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teal adder Sep 17, 2023, 10:37 PM

#

how can i find the weighted average

safe radishBOT Sep 17, 2023, 10:40 PM

#

teal adder how can i find the weighted average

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crude star Sep 17, 2023, 10:51 PM

#

safe radishBOT Sep 17, 2023, 10:51 PM

#

crude star

crude star Sep 17, 2023, 10:51 PM

#

how do I even do this

#

cant think of anything

#

nvm

#

.close

safe radishBOT Sep 17, 2023, 10:59 PM

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delicate pumice Sep 17, 2023, 11:25 PM

#

safe radishBOT Sep 17, 2023, 11:25 PM

#

delicate pumice

delicate pumice Sep 17, 2023, 11:26 PM

#

Need help with homogenous diff eq

#

I rewrote it in this form but dont know what to do next

safe radishBOT Sep 17, 2023, 11:41 PM

#

@delicate pumice Has your question been resolved?

delicate pumice Sep 17, 2023, 11:41 PM

#

<@&286206848099549185>

#

hello

#

pleaseee

#

id legit

#

get on my knees

#

for help

#

<@&286206848099549185> i dont mean to keep @ but its been nearly an hour since i wrote this question

#

im on my knees beggin bro

#

im down bad

#

ima start meowing

#

pwease :3

#

hewwo

#

OwO

drifting mountain Sep 18, 2023, 12:36 AM

#

first check that it's homogeneous

#

ie ky(kx-2ky)/(kx(kx+2ky)) = k^2.../k^2... so it is

#

substitute y=ux

#

y'=u + xu'

#

u + xu' = ux(x-2ux)/(x(x+2ux))

delicate pumice Sep 18, 2023, 12:42 AM

#

drifting mountain ie ky(kx-2ky)/(kx(kx+2ky)) = k^2.../k^2... so it is

where did k come from

#

i only know its homogenous cuz problem said but idk how to check

drifting mountain Sep 18, 2023, 12:45 AM

#

= (u-2u^2)/(1+2u) = u(1-2u)/(1+2u)

#

= u - 4u^2/(1+2u)

#

so xu' = -4u^2/(1+2u)

delicate pumice Sep 18, 2023, 12:49 AM

#

i dont know what is happening

#

how did u check if it is homogenous or not

drifting mountain Sep 18, 2023, 12:50 AM

#

f(x,y)=f(kx,ky)

#

means f(x,y) is homogeneous

delicate pumice Sep 18, 2023, 12:51 AM

#

so u put a k in front of everything

#

and then if it equals the original equation then its homogenous?

drifting mountain Sep 18, 2023, 12:52 AM

#

yup

delicate pumice Sep 18, 2023, 12:55 AM

#

ok let me try that

#

ok so now that i deterined it is homogenous

#

what is next step

drifting mountain Sep 18, 2023, 12:59 AM

#

delicate pumice what is next step

#help-23 message

delicate pumice Sep 18, 2023, 1:04 AM

#

substitute that into the original equation?

#

drifting mountain Sep 18, 2023, 1:10 AM

#

yes

#

also #help-23 message

delicate pumice Sep 18, 2023, 1:12 AM

#

drifting mountain y'=u + xu'

i dont understand this step

#

what is u'

drifting mountain Sep 18, 2023, 1:12 AM

#

y=xv

#

what is y'?

delicate pumice Sep 18, 2023, 1:13 AM

#

dy/dx

#

so is v' dv/dx

#

im using v because that is how teacher did it

#

im just copying that

#

#

like this

#

this is product rule yes?

drifting mountain Sep 18, 2023, 1:16 AM

#

(xv)'=xv'+x'v= v+xv'

#

product rule

drifting mountain Sep 18, 2023, 1:24 AM

#

drifting mountain so xu' = -4u^2/(1+2u)

then you do -(1+2u)/4u^2 du = 1/x dx

#

some fancy substitutions on LHS integral

#

and you are done

delicate pumice Sep 18, 2023, 1:28 AM

#

i have no idea

#

what is happening

delicate pumice Sep 18, 2023, 1:28 AM

#

delicate pumice

is this last step i did correct

delicate pumice Sep 18, 2023, 1:29 AM

#

delicate pumice

why did u even do this last step

drifting mountain Sep 18, 2023, 1:38 AM

#

delicate pumice is this last step i did correct

it's incorrect

#

compare #help-23 message

drifting mountain Sep 18, 2023, 1:39 AM

#

delicate pumice why did u even do this last step

so that I can substitute it for y'

delicate pumice Sep 18, 2023, 1:43 AM

#

i still dont understand

#

sorry

#

im very lost

#

oh wait

delicate pumice Sep 18, 2023, 1:44 AM

#

drifting mountain y'=u + xu'

then why did u do this

#

im so confused

#

ok i know u need to substitute for y'

#

how do u do that

#

from my perspective ur throwing out random letters and idk what it means

#

i never did homogenous before

drifting mountain Sep 18, 2023, 1:45 AM

#

delicate pumice how do u do that

y=vx

#

y'=(vx)'= v+xv'

delicate pumice Sep 18, 2023, 1:47 AM

#

drifting mountain y'=(vx)'= v+xv'

is this a rule i must know

#

because if not idk where u got this from

#

is this something i always have to know

drifting mountain Sep 18, 2023, 1:47 AM

#

product rule...

delicate pumice Sep 18, 2023, 1:48 AM

#

ohhhhhh

#

i dont understand when people type it on text like this

delicate pumice Sep 18, 2023, 1:48 AM

#

drifting mountain y'=(vx)'= v+xv'

ok i see its product rule now

#

but is that not what i did

delicate pumice Sep 18, 2023, 1:48 AM

#

delicate pumice

is it not this

drifting mountain Sep 18, 2023, 1:49 AM

#

you have y'=x + vv'

delicate pumice Sep 18, 2023, 1:50 AM

#

#

Oh ok

#

I accidently reversed it

#

i meant other way yeah

delicate pumice Sep 18, 2023, 1:50 AM

#

drifting mountain you have y'=x + vv'

because this is not product rule

#

yeah

drifting mountain Sep 18, 2023, 1:51 AM

#

move y' under y=xv

#

it has no business in the middle

delicate pumice Sep 18, 2023, 1:52 AM

#

delicate pumice Sep 18, 2023, 1:52 AM

#

drifting mountain move y' under y=xv

i just read this

#

so xv/y'?

drifting mountain Sep 18, 2023, 1:54 AM

#

no, I mean on the paper

#

move dy/dx=v+xdv/dx under y=xv

delicate pumice Sep 18, 2023, 1:56 AM

#

oh ur talking about organization

#

im confused

drifting mountain Sep 18, 2023, 1:58 AM

#

yes

delicate pumice Sep 18, 2023, 1:58 AM

#

ok but what about the math part

#

is it correct

drifting mountain Sep 18, 2023, 1:59 AM

#

compare to the notes above

delicate pumice Sep 18, 2023, 2:01 AM

#

its very hard to understand the notation but i think it is

#

but what do i do now

drifting mountain Sep 18, 2023, 2:05 AM

#

check the notes

#

#help-23 message

#

is it very hard to substitute u=v and u'= dv/dx? thonkzoom

safe radishBOT Sep 18, 2023, 2:31 AM

#

@delicate pumice Has your question been resolved?

safe radishBOT Sep 18, 2023, 3:01 AM

#

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#

molten hawk Sep 18, 2023, 3:06 AM

#

bvn

safe radishBOT Sep 18, 2023, 3:06 AM

#

Channel closed

Closed due to the original message being deleted

molten hawk Sep 18, 2023, 3:06 AM

#

.close

safe radishBOT Sep 18, 2023, 6:03 AM

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lean otter Sep 18, 2023, 6:05 AM

#

https://cdn.discordapp.com/attachments/486844875632017408/1152913173922455632/16949462682498673067199706058740.jpg

safe radishBOT Sep 18, 2023, 6:05 AM

#

lean otter https://cdn.discordapp.com/attachments/486844875632017408/1152913173922455632/16...

lean otter Sep 18, 2023, 6:06 AM

#

What should I be looking for when I solve this ?

safe radishBOT Sep 18, 2023, 6:21 AM

#

@lean otter Has your question been resolved?

lean otter Sep 18, 2023, 6:31 AM

#

<@&286206848099549185>

empty spruce Sep 18, 2023, 6:35 AM

#

yes

#

pr=25

#

pq=90

#

qp=65

lean otter Sep 18, 2023, 6:42 AM

#

Sure....can you explain as well ?

hushed saddle Sep 18, 2023, 6:43 AM

#

hey

lean otter Sep 18, 2023, 6:43 AM

#

yeah ?

hushed saddle Sep 18, 2023, 6:43 AM

#

do you know midpoint theorem?

lean otter Sep 18, 2023, 6:44 AM

#

Yes.

hushed saddle Sep 18, 2023, 6:44 AM

#

So

#

AS/BS=AR/RC=SR/BC

#

right?

lean otter Sep 18, 2023, 6:44 AM

#

Correct

hushed saddle Sep 18, 2023, 6:45 AM

#

now try to right AS in terms of AR

#

by pythagoreas theorem

empty spruce Sep 18, 2023, 6:46 AM

#

then you need to use basic rule of properties of trinle

lean otter Sep 18, 2023, 6:46 AM

#

sqrt of AR2 -SR2

hushed saddle Sep 18, 2023, 6:46 AM

#

empty spruce pr=25

no

#

its wrong bruh

hushed saddle Sep 18, 2023, 6:46 AM

#

lean otter sqrt of AR2 -SR2

ye

#

now equate

lean otter Sep 18, 2023, 6:52 AM

#

hushed saddle AS/BS=AR/RC=SR/BC

Wait. I agree with the first two relations, but SR/BC isnt equal to those first two, right ?

#

SR/BC is from similarity between triASR and triABC.

hushed saddle Sep 18, 2023, 6:56 AM

#

its from thales theorem

lean otter Sep 18, 2023, 6:57 AM

#

The first two, right ?

#

I dont understand the last one.

#

@hushed saddle

safe radishBOT Sep 18, 2023, 7:31 AM

#

@lean otter Has your question been resolved?

safe radishBOT Sep 18, 2023, 8:02 AM

#

Channel closed

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frail ridge Sep 18, 2023, 8:43 AM

#

A bit confused with percentages. In the first problem it's 95% of a sample. And in the second problem it's 20% of the original amount.

safe radishBOT Sep 18, 2023, 8:43 AM

#

frail ridge A bit confused with percentages. In the first problem it's 95% of a sample. And ...

frail ridge Sep 18, 2023, 8:44 AM

#

#

placid oak Sep 18, 2023, 8:45 AM

#

if 20% is remaining, you can work out how much has decayed

#

and do it the same way

frail ridge Sep 18, 2023, 8:45 AM

#

In the first one I did. Original amount*(1-0.95)

#

And in the second one it will just be Original amount*0.2?

placid oak Sep 18, 2023, 8:46 AM

#

to work out how much you have remaining, yes

frail ridge Sep 18, 2023, 8:47 AM

#

Ok. Thanks

#

.close

safe radishBOT Sep 18, 2023, 8:48 AM

#

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jovial scroll Sep 18, 2023, 11:15 AM

#

safe radishBOT Sep 18, 2023, 11:15 AM

#

jovial scroll

jovial scroll Sep 18, 2023, 11:16 AM

#

i am taking the derivative of

#

$x*\sqrt{5x}$

flat frigateBOT Sep 18, 2023, 11:16 AM

#

marty

jovial scroll Sep 18, 2023, 11:16 AM

#

to do this, i want to first use the product rule to find g

jovial scroll Sep 18, 2023, 11:16 AM

#

jovial scroll

this gives the step in the original picture

calm bridge Sep 18, 2023, 11:17 AM

#

what is your question?

jovial scroll Sep 18, 2023, 11:18 AM

#

the last step simplifies the chain rule step, where we take g'(x) multiplied with h'(x), where h'(x) = 5

jovial scroll Sep 18, 2023, 11:19 AM

#

jovial scroll

if g'(x) is as shown, here, the second step, how do we get to that last result, the last step? I cannot see how this simplification works at all

#

so $\sqrt{5x}+x*\frac{\sqrt{5}}{2*\sqrt{x}}*5$

flat frigateBOT Sep 18, 2023, 11:20 AM

#

marty

jovial scroll Sep 18, 2023, 11:20 AM

#

should become $\frac{3*\sqrt{5}*\sqrt{x}}{2}$

flat frigateBOT Sep 18, 2023, 11:21 AM

#

marty

jovial scroll Sep 18, 2023, 11:22 AM

#

to me this is not a trivial simplification

safe radishBOT Sep 18, 2023, 11:37 AM

#

@jovial scroll Has your question been resolved?

safe radishBOT Sep 18, 2023, 12:07 PM

#

@jovial scroll Has your question been resolved?

safe radishBOT Sep 18, 2023, 1:07 PM

#

@jovial scroll Has your question been resolved?

cosmic badge Sep 18, 2023, 1:21 PM

#

jovial scroll so $\sqrt{5x}+x*\frac{\sqrt{5}}{2*\sqrt{x}}*5$

Where did that last *5 come from? It should be $\sqrt{5x}+x\frac{\sqrt{5}}{2\sqrt{x}}$.

What confuses you about the simplification? Are you unfamiliar with $x \frac{1}{\sqrt{x}}$?

flat frigateBOT Sep 18, 2023, 1:21 PM

#

chencking

jovial scroll Sep 18, 2023, 1:22 PM

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you're right, i was wrong. What i didn't understand was actually this part

#

why is the derivative of sqrt(5x) , sqrt(5) over 2sqrt(x)?

#

i got 5 over 2sqrt(5x)

cosmic badge Sep 18, 2023, 1:28 PM

#

You don't need to care about the $\sqrt{5}$. We have that $\sqrt{5x} = \sqrt{5} \sqrt{x}$. The $\sqrt{5}$ is just a constant coefficient.

PS: Your answer is the same as their answer. Yours just isn't simplified. $$\frac{5}{2\sqrt{5x}} = \frac{5}{2\sqrt{5} \sqrt{x}} = \frac{\sqrt{5}}{2 \sqrt{x}}$$ so the answers are equivalent.

flat frigateBOT Sep 18, 2023, 1:28 PM

#

chencking

cosmic badge Sep 18, 2023, 1:29 PM

#

Trying to check it with other methods is a good habit. 👍

jovial scroll Sep 18, 2023, 1:29 PM

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why can we do your last step

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divide by sqrt(5) top and down?

#

i considered that but dismissed it but that makes sense obviously

cosmic badge Sep 18, 2023, 1:31 PM

#

Yes. Every number is the square of its square root. So $5 = \sqrt{5} \sqrt{5}$. Divide out a square root by both sides and it simplifies.

flat frigateBOT Sep 18, 2023, 1:31 PM

#

chencking

jovial scroll Sep 18, 2023, 1:32 PM

#

but I'm still confused from there on, i think

cosmic badge Sep 18, 2023, 1:32 PM

#

Or alternatively, multiply the top and bottom by $\sqrt{5}$ to get $\frac{5\sqrt{5}}{10\sqrt{x}}$ and divide out the 5 from both.

flat frigateBOT Sep 18, 2023, 1:32 PM

#

chencking

jovial scroll Sep 18, 2023, 1:33 PM

#

then we will have sqrt(5x) + x * sqrt (5) over 2sqrt(x)

cosmic badge Sep 18, 2023, 1:33 PM

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jovial scroll but I'm still confused from there on, i think

What about?

jovial scroll Sep 18, 2023, 1:33 PM

#

jovial scroll

so step two of original picture

#

what was done here to get to step three?

#

common denom. by multiplying left nom. by right denom.?

cosmic badge Sep 18, 2023, 1:34 PM

#

You need to simplify $x \frac{1}{\sqrt{x}}$ the same way we simplified $\frac{5}{\sqrt{5}}$.

flat frigateBOT Sep 18, 2023, 1:34 PM

#

chencking

jovial scroll Sep 18, 2023, 1:39 PM

#

ok, i see that possibility now, and then we do common denom. for left term to match right?

cosmic badge Sep 18, 2023, 1:40 PM

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jovial scroll ok, i see that possibility now, and then we do common denom. for left term to ma...

To be exact, you want to match the power of x. So both terms will be a number times $\sqrt{x}$. But yes, that is the right idea.

flat frigateBOT Sep 18, 2023, 1:40 PM

#

chencking

jovial scroll Sep 18, 2023, 1:45 PM

#

thank you, i managed to do it now

#

so to fully simplify, we aim to put roots at the nom., and also to split roots (which i guess is by itself root simplification)?

safe radishBOT Sep 18, 2023, 3:46 PM

#

@jovial scroll Has your question been resolved?

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vast drift Sep 18, 2023, 3:56 PM

#

Hi guys, sorry again for the trouble. I want to fill out this table that basically gives me for each function (that is basically a time function for algorithms) and the relative number of instruction how much time it takes to run.
given a single instruction takes 1 nanosecond

safe radishBOT Sep 18, 2023, 3:56 PM

#

vast drift Hi guys, sorry again for the trouble. I want to fill out this table that basical...

vast drift Sep 18, 2023, 3:56 PM

#

I am now looking at the case N^2 for 10000 instruction
My calculation would be (10^4)^2 * 10^-9 = 10^-1 nanoseconds?

#

so 0.1 nanoseconds?

#

or 10^-1 seconds? -> 0.1 seconds?

safe radishBOT Sep 18, 2023, 4:12 PM

#

@vast drift Has your question been resolved?

vast drift Sep 18, 2023, 4:25 PM

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.close

safe radishBOT Sep 18, 2023, 4:25 PM

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idle hollow Sep 18, 2023, 4:29 PM

#

Hi,

safe radishBOT Sep 18, 2023, 4:29 PM

#

idle hollow Hi,

idle hollow Sep 18, 2023, 4:29 PM

#

Prove the approximation 1/(1 + x + x ^ 2) = 1 - x

#

How can i do that

safe radishBOT Sep 18, 2023, 4:44 PM

#

@idle hollow Has your question been resolved?

plucky elk Sep 18, 2023, 4:57 PM

#

idle hollow How can i do that

Do you know Taylor series

safe radishBOT Sep 18, 2023, 5:17 PM

#

@idle hollow Has your question been resolved?

idle hollow Sep 18, 2023, 5:21 PM

#

plucky elk Do you know Taylor series

Yeah

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latent plume Sep 18, 2023, 5:51 PM

#

Can someone explain to me how the whole switching y and x works in finding the inverse of a function? That step seems like black magic yo me

safe radishBOT Sep 18, 2023, 5:51 PM

#

latent plume Can someone explain to me how the whole switching y and x works in finding the i...

peak estuary Sep 18, 2023, 5:54 PM

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the switching isn't strictly necessary

flat frigateBOT Sep 18, 2023, 5:54 PM

#

Stephen

peak estuary Sep 18, 2023, 5:55 PM

#

students are often just more comfortable with the roles of x and y that way around

#

x as the input and y as the output

safe radishBOT Sep 18, 2023, 6:06 PM

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latent plume Sep 18, 2023, 6:07 PM

#

Apologies I'll ask later on crappy wifi

safe radishBOT Sep 18, 2023, 6:08 PM

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lone arch Sep 18, 2023, 6:09 PM

#

Let $ABCD$ be a square with lengths $r = 1$. Determine the area of the shaded region. \[5pt] Does anyone have a \textbf{hint}?

safe radishBOT Sep 18, 2023, 6:09 PM

#

lone arch Let $ABCD$ be a square with lengths $r = 1$. Determine the area of the shaded re...

lone arch Sep 18, 2023, 6:11 PM

#

#

quasi bison Sep 18, 2023, 6:11 PM

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the shaded region is a square plus 4 identical circular segments

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of exactly the type cut off by chord PQ

lone arch Sep 18, 2023, 6:15 PM

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quasi bison the shaded region is a square plus 4 identical circular segments

Ah, I was thinking about messing with the area CDA (the chord), then subtracting twice that from the square, but we'd still have twice the area PQC in that

#

Thanks

#

.close

safe radishBOT Sep 18, 2023, 6:16 PM

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Channel closed

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lone arch Sep 18, 2023, 6:18 PM

#

.reopen

safe radishBOT Sep 18, 2023, 6:18 PM

#

✅

lone arch Sep 18, 2023, 6:22 PM

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quasi bison the shaded region is a square plus 4 identical circular segments

I calculated that the length $\overline{PQ}$ will be $\sqrt{\frac{11}{4} - \sqrt 3}$, so the square will be of area $\frac{11}{4} - \sqrt 3$. \Do you have a hint on how we could determine the area of the circular segments?

#

quasi bison Sep 18, 2023, 6:23 PM

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do you know in general how to find the area of a circular segment

lone arch Sep 18, 2023, 6:24 PM

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If it was a part of a full circle, then we could multiply the area of that by alpha/360°, but in this case, it's not

quasi bison Sep 18, 2023, 6:25 PM

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segment not sector

lone arch Sep 18, 2023, 6:26 PM

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quasi bison do you know in general how to find the area of a circular segment

Oh, nope, I will look that up. Thank you!

#

.close

safe radishBOT Sep 18, 2023, 6:27 PM

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earnest python Sep 18, 2023, 6:29 PM

#

safe radishBOT Sep 18, 2023, 6:29 PM

#

earnest python

earnest python Sep 18, 2023, 6:29 PM

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can someone explain whether this is true or false using math?

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intuitively i'm drawn to say the statement is true but struggle to show it even though it doesn't say to

unique bison Sep 18, 2023, 6:31 PM

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try some examples

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like u = (1,1,1)

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u.v = sum of elements of v

earnest python Sep 18, 2023, 6:36 PM

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unique bison like u = (1,1,1)

so when u = 1,1,1 , the statement is true, but that doesn't necessarily mean the whole statement is true?

unique bison Sep 18, 2023, 6:36 PM

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cool

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so ur examples satisfied this?

earnest python Sep 18, 2023, 6:37 PM

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i suppose

unique bison Sep 18, 2023, 6:39 PM

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use u.v = |u||v|cos(theta)

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and |u x v| = |u||v|sin(theta)

safe radishBOT Sep 18, 2023, 6:52 PM

#

@earnest python Has your question been resolved?

earnest python Sep 18, 2023, 6:54 PM

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yeah im confused

#

im mostly looking for an equation that explicitly shows that v = w

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but for now, ill just stick to explaining in words using the properties of these whatevers

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and ideas

unique bison Sep 18, 2023, 7:05 PM

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maybe just do it explictly

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expand the dot and cross products

safe radishBOT Sep 18, 2023, 7:33 PM

#

@earnest python Has your question been resolved?

obsidian oracle Sep 18, 2023, 7:34 PM

#

here's another nice way to try it.
Since u isn't the 0 vector, you can find an orthonormal basis of R^3 such that u = (x 0 0)

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From there, the expressions of the dot product and vector product with u is trivial

earnest python Sep 18, 2023, 7:36 PM

#

ill look into it when i get back home, thanks!

safe radishBOT Sep 18, 2023, 7:36 PM

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earnest hamlet Sep 18, 2023, 7:49 PM

#

Can I get someone to check my working to a mechanics question (year 1 a level)

safe radishBOT Sep 18, 2023, 7:49 PM

#

earnest hamlet Can I get someone to check my working to a mechanics question (year 1 a level)

earnest hamlet Sep 18, 2023, 8:06 PM

#

<@&286206848099549185>

#

<@&286206848099549185>

#

<@&286206848099549185>

safe radishBOT Sep 18, 2023, 8:17 PM

#

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.

earnest hamlet Sep 18, 2023, 8:18 PM

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for nearly half an hour I have waited

#

<@&286206848099549185>

#

.close

safe radishBOT Sep 18, 2023, 8:47 PM

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shut basin Sep 18, 2023, 8:51 PM

#

safe radishBOT Sep 18, 2023, 8:51 PM

#

shut basin

shut basin Sep 18, 2023, 8:51 PM

#

how to find horizontal asymptote

flat perch Sep 18, 2023, 8:54 PM

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shut basin how to find horizontal asymptote

Do u know what an horizontal asymmetries is

#

Asymptote *

sinful grove Sep 18, 2023, 8:54 PM

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Solve y = x/6x-12 for x

flat perch Sep 18, 2023, 8:54 PM

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sinful grove Solve y = x/6x-12 for x

https://tenor.com/view/exit-exit-pepe-saindo-vou-embora-sair-gif-25162644

Tenor

sinful grove Sep 18, 2023, 8:54 PM

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sinful grove Solve y = x/6x-12 for x

And check it's vertical asymptote

shut basin Sep 18, 2023, 8:55 PM

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flat perch https://tenor.com/view/exit-exit-pepe-saindo-vou-embora-sair-gif-25162644

I like his answer

#

is straight forward

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thank you normed

#

.close

safe radishBOT Sep 18, 2023, 8:55 PM

#

Channel closed

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flat perch Sep 18, 2023, 8:56 PM

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shut basin I like his answer

Just making sure u know it cause once someone asked me and then said what it is 😂

sinful grove Sep 18, 2023, 8:56 PM

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sinful grove Solve y = x/6x-12 for x

Yeah you should definitely understand why this works

shut basin Sep 18, 2023, 9:01 PM

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flat perch Just making sure u know it cause once someone asked me and then said what it is ...

okay um

#

.reopen

safe radishBOT Sep 18, 2023, 9:01 PM

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✅

shut basin Sep 18, 2023, 9:01 PM

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I need help

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I have no idea what I'm doing

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I was like "yeah I got this"

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I don't got this

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I can make it like 6x-12 = x right? by multiplying on both sides

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what do I do from there, is that even what I'm supposed to do

flat perch Sep 18, 2023, 9:02 PM

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@sinful grove u wanna do it?

sinful grove Sep 18, 2023, 9:06 PM

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shut basin I can make it like 6x-12 = x right? by multiplying on both sides

y = $\frac{x}{6x-12}$ $\$ $\implies y\left(6x-12\right) = x$ $\$ $\implies 6xy - 12y = x$ $\$ $\implies 6xy - x = 12y$ $\$ $\implies x\left(6y-1\right) = 12y$ and so on

flat frigateBOT Sep 18, 2023, 9:06 PM

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Normed

sinful grove Sep 18, 2023, 9:06 PM

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You get f(y) = x = (12y)/(6y-1)

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Now find the vertical asymptote of this function

sinful grove Sep 18, 2023, 9:08 PM

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sinful grove Now find the vertical asymptote of this function

Which is same as the horizontal asymptote of f(x)

#

,w plot x/(6x-12) {x from -10 to 10}

shut basin Sep 18, 2023, 9:08 PM

#

ummmm

sinful grove Sep 18, 2023, 9:09 PM

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Lol

#

Use desmos ig

flat perch Sep 18, 2023, 9:10 PM

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,w plot x/(6x-12)

sinful grove Sep 18, 2023, 9:10 PM

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You'll get a pretty good understanding by graph

flat perch Sep 18, 2023, 9:10 PM

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I forgot how to zoom out 😂

#

,w plot x/(6x-12) {x from -10 to 10}

shut basin Sep 18, 2023, 9:10 PM

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holy shit bro

flat perch Sep 18, 2023, 9:10 PM

#

That’s annoying

shut basin Sep 18, 2023, 9:10 PM

#

why is this so complicated

flat frigateBOT Sep 18, 2023, 9:11 PM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

shut basin Sep 18, 2023, 9:11 PM

#

how do I solve it algebreically

flat perch Sep 18, 2023, 9:11 PM

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How did u do that

#

Teach teach

shut basin Sep 18, 2023, 9:11 PM

#

we aren't given graphs

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or graphing calcs

sinful grove Sep 18, 2023, 9:11 PM

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flat frigate **Normed**

^

shut basin Sep 18, 2023, 9:11 PM

#

I'm just gonna plug shit into the calculator I think

sinful grove Sep 18, 2023, 9:11 PM

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or you can use limits as well

flat perch Sep 18, 2023, 9:12 PM

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sinful grove ^

Just tell the command I can’t see the msg 👀

shut basin Sep 18, 2023, 9:12 PM

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I hate math

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this is so stupid

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I'm like actually so mad

#

like

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grrr

flat perch Sep 18, 2023, 9:12 PM

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Math is easy

shut basin Sep 18, 2023, 9:13 PM

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idk how to do this man

flat perch Sep 18, 2023, 9:13 PM

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If u just let me explain it to u in the start u would’ve been done by now KEK

shut basin Sep 18, 2023, 9:13 PM

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I can solve horizontal

flat perch Sep 18, 2023, 9:13 PM

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Anyways gtg Normed will help u

#

I have to study for my history

shut basin Sep 18, 2023, 9:13 PM

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oh my god

#

.close

safe radishBOT Sep 18, 2023, 9:13 PM

#

Channel closed

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safe radishBOT Sep 18, 2023, 11:21 PM

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stone herald Sep 18, 2023, 11:25 PM

#

Not sure how to go about this

safe radishBOT Sep 18, 2023, 11:25 PM

#

stone herald Not sure how to go about this

fleet tendon Sep 18, 2023, 11:25 PM

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complete the square

stone herald Sep 18, 2023, 11:26 PM

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Like what multiplies to -4 and adds to 7?

fleet tendon Sep 18, 2023, 11:26 PM

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uh, i don't know what that is

#

https://www.mathsisfun.com/algebra/completing-square.html

#

this is what i meant

stone herald Sep 18, 2023, 11:27 PM

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Oh, yeah not what I was thinking of lol

fleet tendon Sep 18, 2023, 11:28 PM

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But yeah just follow that procedure

stone herald Sep 18, 2023, 11:28 PM

#

I'll work through there, thank you again!

#

.close

safe radishBOT Sep 18, 2023, 11:29 PM

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soft marsh Sep 18, 2023, 11:35 PM

#

what does a represent in this case?

safe radishBOT Sep 18, 2023, 11:35 PM

#

soft marsh what does a represent in this case?

soft marsh Sep 18, 2023, 11:36 PM

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im assuming its to this one?

drifting mountain Sep 18, 2023, 11:40 PM

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what is (8)

soft marsh Sep 18, 2023, 11:40 PM

#

#

im dum

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LMAO

ember sphinx Sep 18, 2023, 11:40 PM

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so fym im assuming its this one

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it is that one

soft marsh Sep 18, 2023, 11:40 PM

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im losin my mind over here

#

😭

#

.close

safe radishBOT Sep 18, 2023, 11:41 PM

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lean otter Sep 18, 2023, 11:50 PM

#

I’m not sure how to navigate this question, I just need help to recognize what formulas to use

safe radishBOT Sep 18, 2023, 11:50 PM

#

lean otter I’m not sure how to navigate this question, I just need help to recognize what f...

lean otter Sep 18, 2023, 11:50 PM

#

neon bronze Sep 18, 2023, 11:54 PM

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ok im seeing that theres potentially 4 occasions of equations youre going to have to use

#

looks like theyre not interconnected until the end when he reinvests

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so im thinking think about what each individual dot point has and what you’re missing to complete the equation

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then add it all up and do that again with the final reinvestment

lean otter Sep 18, 2023, 11:58 PM

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Okay

#

t = 10 years
P = $1000
n = 1
r = 3.4%

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I think that one is compound interest formula

neon bronze Sep 19, 2023, 12:00 AM

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yep thats correct

lean otter Sep 19, 2023, 12:01 AM

#

t = 42 years
P = $3000
r = 4.3%
n = 4

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Another compound interest?

neon bronze Sep 19, 2023, 12:01 AM

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mhm

lean otter Sep 19, 2023, 12:02 AM

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A 10 year term that he purchased 10 years ago

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What does that mean

neon bronze Sep 19, 2023, 12:02 AM

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so its an investment that has an end date which is 10 years

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i think thats just goofy wording for 10 year investment

lean otter Sep 19, 2023, 12:03 AM

#

What’s the difference between the compound interest formula and the regular payments formula

#

Because for the first one he is making regular payments no?

neon bronze Sep 19, 2023, 12:04 AM

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oh lol i cant read mb

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give me a second

#

yeah youre probs right with the future payments equ

#

difference is that hes adding extra value to it yearly

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compound interest is just if you leave the lump of it to accumulate by itself over time

lean otter Sep 19, 2023, 12:06 AM

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So the first one should be regular payments?

neon bronze Sep 19, 2023, 12:06 AM

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yeah

lean otter Sep 19, 2023, 12:06 AM

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and the second one is compound interest

neon bronze Sep 19, 2023, 12:06 AM

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yep

lean otter Sep 19, 2023, 12:07 AM

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I think the third one is compound interest too?

neon bronze Sep 19, 2023, 12:07 AM

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yepp

lean otter Sep 19, 2023, 12:10 AM

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Regular Payments
FV = ?
R = $1000
n = 1
r = 3.4%
t = 10
Compound Interest
A = ?
P = $3000
r = 4.3%
n = 4
t = 42
Compound Interest
A = ?
P = $10,000
r = 3.95%
n = 2
t = 10

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Is the term right for the 3rd one

neon bronze Sep 19, 2023, 12:11 AM

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mhm

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uhm

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yeah

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tedious q, but u got the rationale

lean otter Sep 19, 2023, 12:12 AM

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Okay

neon bronze Sep 19, 2023, 12:12 AM

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if you find you’re struggling with identifying what formula to use i can recommend either: write out what you know, what you dont
or
a quick lil exercise where you try and write your own question for each of the formulae to better understand the components that make up the equation itself

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seems like you got it tho

lean otter Sep 19, 2023, 12:14 AM

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neon bronze so im thinking think about what each individual dot point has and what you’re mi...

This helped

neon bronze Sep 19, 2023, 12:14 AM

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that’s good 🙂

lean otter Sep 19, 2023, 12:16 AM

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I’ll see if I can get the right answer

neon bronze Sep 19, 2023, 12:17 AM

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my calculator has been stolen so i cant verify it for you unfortunately, but as long as your formulae are all correct incl the 4th one then you should be alright

lean otter Sep 19, 2023, 12:19 AM

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For the second one I think it’s too high

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I got $45,394.26

neon bronze Sep 19, 2023, 12:23 AM

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that is quite high

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what’s the formula you threw in for that?

lean otter Sep 19, 2023, 12:24 AM

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Ohh I see what I did

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I mixed up the 2nd and 3rd question

neon bronze Sep 19, 2023, 12:24 AM

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ohh haha lmao good you picked it out though

lean otter Sep 19, 2023, 12:26 AM

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I got the same high number for the 3rd one

#

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Wtf idk how I got 4.63942

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It should be 1.478680275624066

neon bronze Sep 19, 2023, 12:29 AM

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yeah

lean otter Sep 19, 2023, 12:30 AM

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So I add everything, then
t = 5
r = 5.1%
n = 1

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Everything added is P?

neon bronze Sep 19, 2023, 12:31 AM

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mhm

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p?

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yes yes p

lean otter Sep 19, 2023, 12:35 AM

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I was a little under $1000 to the right answer

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Idk what I did wrong

#

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The right answer is $57,125.96

neon bronze Sep 19, 2023, 12:40 AM

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i got a slightly different number for 2

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the working is right, maybe retry that last step?

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not 2 sorry

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i mean 3

lean otter Sep 19, 2023, 12:43 AM

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Okay

neon bronze Sep 19, 2023, 12:45 AM

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yeah now i got the right answer that should be the only lil error

lean otter Sep 19, 2023, 12:47 AM

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I got it

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Whenever I calculate with my phone

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And I keep doing the calculation without clear

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I mess it up on accident

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It’s usually when i do the power and then multiply it with P

neon bronze Sep 19, 2023, 12:48 AM

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phone calculator do be like that

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at least you know how to do it though and it's a calculator error basically

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congrats

lean otter Sep 19, 2023, 12:49 AM

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Thank u so much

neon bronze Sep 19, 2023, 12:49 AM

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nurries

lean otter Sep 19, 2023, 12:49 AM

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.close

safe radishBOT Sep 19, 2023, 12:49 AM

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Channel closed

Closed by @empty ledge

Use .reopen if this was a mistake.

safe radishBOT Sep 19, 2023, 1:15 AM

#

Available help channel!

Send your question here to claim the channel.

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

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

dire escarp Sep 19, 2023, 1:18 AM

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why is the determinant that answer

safe radishBOT Sep 19, 2023, 1:18 AM

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dire escarp why is the determinant that answer

dire escarp Sep 19, 2023, 1:18 AM

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instead of

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pls ping me

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<@&286206848099549185>

safe radishBOT Sep 19, 2023, 1:48 AM

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@dire escarp Has your question been resolved?

dire escarp Sep 19, 2023, 1:57 AM

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i did this but my teacher only did one column, can i do that for every qn similar to this?

hearty grail Sep 19, 2023, 2:05 AM

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dire escarp instead of

wait

dire escarp Sep 19, 2023, 2:05 AM

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yes

hearty grail Sep 19, 2023, 2:05 AM

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Sorry i can't help lol

dire escarp Sep 19, 2023, 2:06 AM

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catscream

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ive been told that both answers are the same thing

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but i dont get how they are the same

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<@&286206848099549185> sorry for 2nd ping

lean otter Sep 19, 2023, 2:17 AM

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dire escarp why is the determinant that answer

hello

dire escarp Sep 19, 2023, 2:18 AM

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hi

lean otter Sep 19, 2023, 2:18 AM

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do you know to calculate eigenvalues

dire escarp Sep 19, 2023, 2:18 AM

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somewhat

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i just learnt it today so im not quite sure

lean otter Sep 19, 2023, 2:19 AM

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Av= λv

dire escarp Sep 19, 2023, 2:19 AM

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yea that

lean otter Sep 19, 2023, 2:19 AM

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are you familiar with this

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Av- λv= 0
(A-Iλ)v = 0

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so we want this when the determinant is 0 (A-Iλ)

lean otter Sep 19, 2023, 2:21 AM

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dire escarp why is the determinant that answer

like you've done there

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as for why det exactly has to be zero you might want to checkout
https://www.youtube.com/watch?v=PFDu9oVAE-g&t=4s

YouTube

3Blue1Brown

Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra

A visual understanding of eigenvectors, eigenvalues, and the usefulness of an eigenbasis.
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Home page: https://www.3blue1brown.com

Full series: https://3b1b.co/eola

Future series like this are funded by the co...

▶ Play video

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he'll have a better explaination

dire escarp Sep 19, 2023, 2:23 AM

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no i know it has to be 0 but the pink answer only did one column and im bummed about that

lean otter Sep 19, 2023, 2:23 AM

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dire escarp i did this but my teacher only did one column, can i do that for every qn simila...

do you understand this method (cofactor expansion)?

dire escarp Sep 19, 2023, 2:23 AM

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like Aadj?

lean otter Sep 19, 2023, 2:24 AM

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for example find the determinant of
$$\begin{pmatrix}
1 & 2 & 3\
2 & 0 & 0\
0 & 1 & 2
\end{pmatrix} $$

flat frigateBOT Sep 19, 2023, 2:24 AM

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sen

lean otter Sep 19, 2023, 2:24 AM

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what steps would you take

dire escarp Sep 19, 2023, 2:25 AM

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dire escarp i did this but my teacher only did one column, can i do that for every qn simila...

this

lean otter Sep 19, 2023, 2:25 AM

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get a paper and write for me you dont have to complete it

lean otter Sep 19, 2023, 2:25 AM

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dire escarp this

apply that

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now note that you can do that on any row, and column

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lmk if u get stuck or dont understand

dire escarp Sep 19, 2023, 2:26 AM

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i got -5

lean otter Sep 19, 2023, 2:26 AM

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can i pls see your work

dire escarp Sep 19, 2023, 2:27 AM

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wait nvm -2

lean otter Sep 19, 2023, 2:28 AM

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can i pls see your working send a pic

dire escarp Sep 19, 2023, 2:28 AM

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lean otter Sep 19, 2023, 2:28 AM

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yas

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now you can do this on any row or column

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you picked the first row

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correct, but best to do on the columns or rows with most zeros

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to make your job easier

dire escarp Sep 19, 2023, 2:29 AM

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oh so the formula isnt fixed to a b c?

lean otter Sep 19, 2023, 2:29 AM

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can you try for me on the second row

lean otter Sep 19, 2023, 2:29 AM

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dire escarp oh so the formula isnt fixed to a b c?

it isnt

lean otter Sep 19, 2023, 2:29 AM

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lean otter can you try for me on the second row

lmk if u get lost

lean otter Sep 19, 2023, 2:30 AM

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dire escarp

,rrcw

dire escarp Sep 19, 2023, 2:31 AM

#

lean otter Sep 19, 2023, 2:31 AM

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pandaWow

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good

dire escarp Sep 19, 2023, 2:32 AM

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shouldnt it be -2?

lean otter Sep 19, 2023, 2:32 AM

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lets verify that

lean otter Sep 19, 2023, 2:33 AM

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flat frigate **sen**

on the second row we have only 2 with det (2*2 - 3)

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it is 2

#

#

,rccw

flat frigateBOT Sep 19, 2023, 2:34 AM

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dire escarp Sep 19, 2023, 2:34 AM

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but i thought the det had to be same for any row

lean otter Sep 19, 2023, 2:34 AM

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lets check your previous one

dire escarp Sep 19, 2023, 2:34 AM

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okay

lean otter Sep 19, 2023, 2:34 AM

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dire escarp but i thought the det had to be same for any row

it is the same

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no matter which row or column you pick

dire escarp Sep 19, 2023, 2:34 AM

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so im wrong somewhere 🗿

lean otter Sep 19, 2023, 2:36 AM

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dire escarp

KEK

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i see where

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dw your technique was good

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just an issue with the + -

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$$\begin{pmatrix}

& - & +\\

& + & -\

& - & +
\end{pmatrix}$$

flat frigateBOT Sep 19, 2023, 2:37 AM

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sen

lean otter Sep 19, 2023, 2:38 AM

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@dire escarp see

dire escarp Sep 19, 2023, 2:38 AM

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oh this

lean otter Sep 19, 2023, 2:38 AM

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your second row

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starts with -

dire escarp Sep 19, 2023, 2:38 AM

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multiply by -2 instead right

lean otter Sep 19, 2023, 2:38 AM

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flat frigate **sen**

there was a formula that helped you determine if a given entry is negative or positive

lean otter Sep 19, 2023, 2:38 AM

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dire escarp multiply by -2 instead right

and what do you get

dire escarp Sep 19, 2023, 2:39 AM

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-2(4-3) so -2

lean otter Sep 19, 2023, 2:39 AM

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dire escarp

as det for this

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good

lean otter Sep 19, 2023, 2:39 AM

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dire escarp why is the determinant that answer

okay now that we know how to calculate det for any row or column tell me which column/row you think is best

dire escarp Sep 19, 2023, 2:40 AM

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the -1

lean otter Sep 19, 2023, 2:40 AM

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column 3 right

dire escarp Sep 19, 2023, 2:40 AM

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yea

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right side

lean otter Sep 19, 2023, 2:40 AM

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ok do it

dire escarp Sep 19, 2023, 2:42 AM

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oh yea i got the same thing

lean otter Sep 19, 2023, 2:42 AM

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which is

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(-1-λ)[(1-λ)(2-λ)]=0 right

lean otter Sep 19, 2023, 2:43 AM

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dire escarp instead of

and not this

dire escarp Sep 19, 2023, 2:43 AM

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(-1-λ)[(1-λ)-(2-λ)]

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yea

lean otter Sep 19, 2023, 2:43 AM

#