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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:05:36
then plug them back into the equation to get the position vector for the point of intersection
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:05:46
Hm
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:06:14
A bell is faintly ringing in my head somewhere
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:06:44
This is the vector equation format btw
https://cdn.discordapp.c…1703/unknown.png
unknown.png
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:06:49
Have you learnt this yet?
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:06:55
Yes!
1
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:07:07
ok so imagine you have 2 vectors
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Limitless222
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:07:14
and the question says they intersect
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:07:33
You just have to equate the vectors (r=r)
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:07:38
and then split them into components
0
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:07:43
them solve them simulatenously
0
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:07:48
to find `t`
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:08:02
it's hard to explain without a question
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:08:05
You mean like in this example mutliply (-4) by 7 and 4 by (-2) ?
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396,015,145,131,835,400
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help-10
ae4acc759aee453a8eab791110b6569d
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Kulsgam
04/17/2022 07:08:11
uh not exactly
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:08:16
hold on let me try to find a question
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:08:21
Okay!
1
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:08:30
Thank you, by the way
1
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:08:37
I appreciate it 😊
1
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HimboKisser
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help-10
ae4acc759aee453a8eab791110b6569d
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Kulsgam
04/17/2022 07:13:34
Okay so I found this question, now they have given the 2 vector equations Now we know that these 2 equations aren't parallel as the direction vectors aren't equal/aren't a multiple(the direction vector is the one after μ or λ Now `r` gives a position vector on any point of the line of the vector The μ or λ is known as ...
https://cdn.discordapp.c…1788/unknown.png
unknown.png
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825,402,355,168,051,200
theguy
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theguy
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:14:04
Now you can use simulataneous equations to solve it to find a value for either μ or λ
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HimboKisser
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:14:40
And then after you find a value for either one, you can substitute that into the relevant equation (r) to get the position vector
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:15:02
what's μ and λ ?
1
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:15:18
It can vary giving any point on the line
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:15:19
so basically
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:15:53
So it's like a variable but for a specific point?
1
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:16:02
a vector equation is defined in this form Where (-4 7) is any point on the line and (7 -2) is the direction vector(the vector which gives that direction) think of it like in the y=mx+c form
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:16:12
yes
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:16:17
it changes on where you put the point
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:16:30
Hmm
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:16:31
Ok so for example
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:18:57
Try calculating the vector equation for AB where OA=(5 6 7) and OB=(1 2 3) now the direction vector would be any vector parallel to AB or the vector of AB itself in this case finding AB is easier AB=OB-OA =(1 2 3)-(5 6 7) =(-4 -4 -4) So now that vector equation would be r=(5 6 7) + λ(-4 -4 -4) or r=(1 2 3) +...
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:19:15
as (1 2 3) and (5 6 7) both lie on the vector line
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:20:18
But those two are different numbers, so how are they the same?
1
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:21:19
the vector equation is defined like that those 2 points can be any point on the line but depending on the point which you choose to put, the value of λ changes at a different rate
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:22:01
Ah
1
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:22:06
I think I get it
1
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:22:47
alright
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:23:20
The two directional vectors are the same, so it doesn't matter just where the locational vector lies, since the directional vector dictates that they're both on the same line and are thus overlapping or the same
1
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:23:38
Right?
1
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:23:51
Uhh the 2 directional vectors of 2 vector lines will be the same only if they are parallel
0
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:24:04
Directional vector
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:24:09
is the one after λ
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:24:16
Yeah I get that
1
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:24:22
I think what you are talking about is the one before that
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:24:44
Wait so what was this
1
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1,927
help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:24:50
?
0
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:25:10
I mean, there's two things to do if a directional vector is parallel or not
1
0
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:25:52
Yes: they're identical or parallel or No: They intersect and are "warped"
1
0
null
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:25:57
Are you asking how to prove if 2 vectors are parallel? what I did above was to prove that 2 vectors intersect and if so find the position vector of the point of intersection
0
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:26:05
I was looking for what do to if they're unparallel
1
0
451,866,498,357,526,500
HimboKisser
3190
HimboKisser
false
1,927
help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:26:23
ok so you want to find the position vector if they aren't parallel right?
0
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:26:26
and if they intersect
0
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:26:30
Yea!
1
0
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:26:35
coz if they are parallel they would never intersect in the first place
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:26:41
Yes that is what I did above
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help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:26:51
just equate the 2 vector equations
0
1
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:27:00
Alright
1
0
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1,927
help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:27:09
Thank you, I must've gotten confused somewhere
1
0
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1,927
help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:27:24
np, if you don't understand you can ask again
0
1
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help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:27:32
Thank youuu
1
0
null
null
null
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1,927
help-10
ae4acc759aee453a8eab791110b6569d
667,385,854,687,182,800
Kulsgam
04/17/2022 07:27:34
although I might be offline
0
1
null
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null
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1,927
help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:27:46
I'll just close this
1
0
null
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1,927
help-10
ae4acc759aee453a8eab791110b6569d
451,866,498,357,526,500
HimboKisser
04/17/2022 07:27:48
.close
1
0
null
null
null
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1,928
help-10
129f2923d102415eb904809cf1b58a9b
579,916,287,027,707,900
Frame
04/17/2022 08:41:00
Just curious, how is laguerre eq'ns related to associated laguerre eq'ns? The same with the legendre eq'ns and its associated counterpart.
1
0
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help-10
3249e9785acc4a6096f57d24a06773a7
933,356,161,464,418,300
Snickerdoodle
04/17/2022 09:58:48
https://cdn.discordapp.c…8272/unknown.png
unknown.png
1
0
null
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null
null
null
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help-10
3249e9785acc4a6096f57d24a06773a7
933,356,161,464,418,300
Snickerdoodle
04/17/2022 09:59:06
Heres mah working
https://cdn.discordapp.c…970/IMG_2491.jpg
IMG_2491.jpg
1
0
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help-10
3249e9785acc4a6096f57d24a06773a7
933,356,161,464,418,300
Snickerdoodle
04/17/2022 09:59:21
i dont know where i went wrong
1
0
null
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null
null
null
1,929
help-10
3249e9785acc4a6096f57d24a06773a7
485,164,773,647,056,900
Gooaaa
04/17/2022 10:05:07
so it's just derivative?
0
1
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help-10
3249e9785acc4a6096f57d24a06773a7
933,356,161,464,418,300
Snickerdoodle
04/17/2022 10:06:15
yh think so
1
0
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null
1,929
help-10
3249e9785acc4a6096f57d24a06773a7
485,164,773,647,056,900
Gooaaa
04/17/2022 10:07:43
,w derivative of e^(-2x)*tanx
0
1
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help-10
3249e9785acc4a6096f57d24a06773a7
510,789,298,321,096,700
TeXit
04/17/2022 10:07:50
Results provided by WolframAlpha
0
1
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1,929
help-10
3249e9785acc4a6096f57d24a06773a7
485,164,773,647,056,900
Gooaaa
04/17/2022 10:08:13
it's correct
0
1
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help-10
3249e9785acc4a6096f57d24a06773a7
933,356,161,464,418,300
Snickerdoodle
04/17/2022 10:08:20
👀 huh
1
0
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null
1,929
help-10
3249e9785acc4a6096f57d24a06773a7
485,164,773,647,056,900
Gooaaa
04/17/2022 10:08:28
?
0
1
null
null
null
null
null
1,929
help-10
3249e9785acc4a6096f57d24a06773a7
411,271,600,479,010,800
Robert Lewandowski
04/17/2022 10:08:32
Factor the e term
0
1
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help-10
3249e9785acc4a6096f57d24a06773a7
933,356,161,464,418,300
Snickerdoodle
04/17/2022 10:08:34
how do i get it inot the given format then?
1
0
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null
1,929
help-10
3249e9785acc4a6096f57d24a06773a7
411,271,600,479,010,800
Robert Lewandowski
04/17/2022 10:08:35
Out
0
1
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help-10
3249e9785acc4a6096f57d24a06773a7
485,164,773,647,056,900
Gooaaa
04/17/2022 10:08:38
ah
0
1
451,866,498,357,526,500
HimboKisser
3190
HimboKisser
false
1,929
help-10
3249e9785acc4a6096f57d24a06773a7
485,164,773,647,056,900
Gooaaa
04/17/2022 10:08:51
didn't see that
0
1
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help-10
3249e9785acc4a6096f57d24a06773a7
411,271,600,479,010,800
Robert Lewandowski
04/17/2022 10:08:54
The e^-2x
0
1
null
null
null
null
null
1,929
help-10
3249e9785acc4a6096f57d24a06773a7
933,356,161,464,418,300
Snickerdoodle
04/17/2022 10:09:14
$$ e^-2x (-2tanx+1+tan^2x) $$
1
0
null
null
null
null
null
1,929
help-10
3249e9785acc4a6096f57d24a06773a7
510,789,298,321,096,700
TeXit
04/17/2022 10:09:21
**Snickerdoodle**
https://cdn.discordapp.c…161464418315.png
933356161464418315.png
0
1
null
null
null
null
null
1,929
help-10
3249e9785acc4a6096f57d24a06773a7
411,271,600,479,010,800
Robert Lewandowski
04/17/2022 10:10:04
Isnt that -1 + tanx squared?
0
1
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null
null
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1,929
help-10
3249e9785acc4a6096f57d24a06773a7
933,356,161,464,418,300
Snickerdoodle
04/17/2022 10:12:19
oh right i see $$ e^-2x (-1+tanx)^2 $$
1
0
null
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null
null
null
1,929
help-10
3249e9785acc4a6096f57d24a06773a7
510,789,298,321,096,700
TeXit
04/17/2022 10:12:22
**Snickerdoodle**
https://cdn.discordapp.c…161464418315.png
933356161464418315.png
0
1
null
null
null
null
null
1,929
help-10
3249e9785acc4a6096f57d24a06773a7
933,356,161,464,418,300
Snickerdoodle
04/17/2022 10:12:35
thankyou!
1
0
null
null
null
null
null
1,929
help-10
3249e9785acc4a6096f57d24a06773a7
411,271,600,479,010,800
Robert Lewandowski
04/17/2022 10:12:40
:)
0
1
null
null
null
null
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1,929
help-10
3249e9785acc4a6096f57d24a06773a7
933,356,161,464,418,300
Snickerdoodle
04/17/2022 10:12:43
.close
1
0
null
null
null
null
null
1,930
help-10
c75e43af73184e218046f5b23127cb24
965,254,002,163,978,200
Tara
04/17/2022 10:21:19
i was wondering how i could find the height i dont know the formula
https://cdn.discordapp.c…BC1613EE6FD4.jpg
190ED851-8316-46C9-84C1-BC1613EE6FD4.jpg
1
0
null
null
null
null
null
1,930
help-10
c75e43af73184e218046f5b23127cb24
581,500,765,068,329,000
TheDoktor
04/17/2022 10:24:26
I assume they both say 10 for each side so Take the isosceles triangle on the end and split it down the middle to give a right angle triangle Use Pythagoras to work out the height
0
1
null
null
null
null
null
1,930
help-10
c75e43af73184e218046f5b23127cb24
965,254,002,163,978,200
Tara
04/17/2022 10:24:46
yes, theyre both ten
1
0
null
null
null
null
null
1,930
help-10
c75e43af73184e218046f5b23127cb24
965,254,002,163,978,200
Tara
04/17/2022 10:24:56
thank you ill do that
1
0
485,164,773,647,056,900
Gooaaa
5829
Fucktalogist
false
1,930
help-10
c75e43af73184e218046f5b23127cb24
965,254,002,163,978,200
Tara
04/17/2022 10:28:26
i got 9.53 as my answer
1
0
null
null
null
null
null
1,930
help-10
c75e43af73184e218046f5b23127cb24
965,254,002,163,978,200
Tara
04/17/2022 10:28:41
im assuming thats correct?
1
0
null
null
null
null
null
1,930
help-10
c75e43af73184e218046f5b23127cb24
889,435,751,517,929,500
Mehreen
04/17/2022 10:28:46
help
0
1
null
null
null
null
null
1,930
help-10
c75e43af73184e218046f5b23127cb24
965,254,002,163,978,200
Tara
04/17/2022 10:30:06
@TheDoktor
1
0
null
null
null
null
null
1,930
help-10
c75e43af73184e218046f5b23127cb24
581,500,765,068,329,000
TheDoktor
04/17/2022 10:31:16
Yes Tho I would leave rounding it until the final answer
0
1
null
null
null
null
null
1,930
help-10
c75e43af73184e218046f5b23127cb24
965,254,002,163,978,200
Tara
04/17/2022 10:31:48
thank you so much
1
0
null
null
null
null
null
1,930
help-10
c75e43af73184e218046f5b23127cb24
581,500,765,068,329,000
TheDoktor
04/17/2022 10:31:49
#❓how-to-get-help
0
1
null
null
null
null
null