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P60397
Mon 2023-10-30 21:34:50
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fdaee177e9f9ce03949ff1b9ad01a98b78a92f6baa437dc3445b2f9204d00cfa.png
5.98 KiB 381x71
You should be able to solve this.
Referenced by:
P60404
P60406
P60874
P60399
Mon 2023-10-30 21:52:03
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idgi
P60404
Mon 2023-10-30 22:20:54
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P60397
lol what is this even i suck at math
what is the terminology for this equation called?
Referenced by:
P60506
P60420
Mon 2023-10-30 23:34:59
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What grade level math is this?
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P60506
P84621
P60506
Tue 2023-10-31 12:25:32
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P60404
P60420
Limits are taught in calculus class.
P60537
Tue 2023-10-31 17:07:22
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2463e0560cef02dfde5610929a023fe466ca46b69936a6f5c99dc64c65816294.jpg
116 KiB 1204x1200
60420 looks 8th gr but those variable r foryn. perhaps russian
P60539
Tue 2023-10-31 17:20:25
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P69537
very breedable
P60662
42
Thu 2023-11-02 04:39:43
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jd-reaction-max-kruger-dunning.jpg
173 KiB 508x732
You do realize no one uses this after high school and/or college?
I guess I could go back and learn it again, but it fails the time/effort/reward trade-off assessment. Everything I do now must pass this test.
Referenced by:
P60664
P60671
P60664
Thu 2023-11-02 04:46:33
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P60662
dude here is Sherlock Holmes only learning things that are useful to his trade
Referenced by:
P81997
P60671
Thu 2023-11-02 07:21:22
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P60662
Why do people go to the gym or take walks? It's completely useless going from point A to A or pulling repeatedly on a machine. The same goes for math, why learn it, if you are "not going to use it". Or maybe the reward itself is that you won't be an uneducated drooling retard? Even if you forget all of math after high school, the abstract constructs your brain developed during your childhood will remain there.
[spoiler:
also if you are in IT, knowing math already put you in the top 0.1%, so there's that
]
Referenced by:
P60680
P60675
Thu 2023-11-02 10:58:52
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3cd5a8a3fddcf2576bdcb24291ec6c9e6f9e5dd259a42fcf895bcb05d184bbb1.png
2.82 KiB 246x285
1
Referenced by:
P60697
P60706
P60680
Thu 2023-11-02 14:02:27
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P60671
>un*x wiggers can't into math
Referenced by:
P60735
P60697
Thu 2023-11-02 15:11:34
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P60675
Does it still look nice when you zoom in on (0,1)?
Referenced by:
P60705
P60705
Thu 2023-11-02 15:54:36
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P60697
Shit bait, at least read what I say before commenting.
Referenced by:
P60706
P81996
P60706
Thu 2023-11-02 15:57:21
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P60705
Quoted the wrong post? I just want to see what the plotting software used in
P60675
does when you zoom in on (0,1).
Referenced by:
P60707
P60732
P60733
P60734
P60735
P61793
P60707
Thu 2023-11-02 16:11:29
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f3b4bafbc489bc8e93d14683ee08f7401ecb228d8bceb02c246a70c456fe9a7d.jpg
214 KiB 1456x816
>>
P60706
>the wigger thinks his plotting software is anonymous
Referenced by:
P61793
P60734
Thu 2023-11-02 19:14:00
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P60706
It lags a lot, but it does looks clean, even when zooming in.
Anyway, here's a proper answer:
We know from their Taylor expansion that (not writing everything because fuck it)
[tex:
sin(x) =
_
{
x→0
}
x -
\frac
{
x³
}
{
6
}
+
\frac
{
x
^
5
}
{
120
}
+ ...
]
[tex:
tan(x) =
_
{
x→0
}
x +
\frac
{
x³
}
{
6
}
+
\frac
{
x
^
5
}
{
120
}
+ ...
]
[tex:
atan(x) =
_
{
x→0
}
x -
\frac
{
x³
}
{
3
}
+
\frac
{
x
^
5
}
{
5
}
+ ...
]
[tex:
asin(x) =
_
{
x→0
}
x +
\frac
{
x³
}
{
6
}
+
\frac
{
3 x
^
5
}
{
40
}
+ ...
]
Therefore,
[tex:
sin(tan(x)) =
_
{
x→0
}
x +
\frac
{
x
^
3
}
{
6
}
-
\frac
{
x
^
5
}
{
40
}
- 275
\frac
{
x
^
7
}
{
5040
}
+ o(x
^
8
)
]
[tex:
tan(sin(x)) =
_
{
x→0
}
x +
\frac
{
x
^
3
}
{
6
}
-
\frac
{
x
^
5
}
{
40
}
- 107
\frac
{
x
^
7
}
{
5040
}
+ o(x
^
8
)
]
[tex:
atan(asin(x)) =
_
{
x→0
}
x -
\frac
{
x
^
3
}
{
6
}
+
\frac
{
13 x
^
5
}
{
120
}
-
\frac
{
173 x
^
7
}
{
5040
}
+ o(x
^
8
)
]
[tex:
asin(atan(x)) =
_
{
x→0
}
x -
\frac
{
x
^
3
}
{
6
}
+
\frac
{
13 x
^
5
}
{
120
}
-
\frac
{
341 x
^
7
}
{
5040
}
+ o(x
^
8
)
]
Which means that
[tex:
sin(tan(x))-tan(sin(x)) =
_
{
x→0
}
\frac
{
-168
}
{
5040
}
x
^
7
+ o(x
^
8
)
]
and
[tex:
asin(atan(x))-atan(asin(x)) =
_
{
x→0
}
\frac
{
-168
}
{
5040
}
x
^
7
+ o(x
^
8
)
]
This means that
[tex:
\frac
{
sin(tan(x))-tan(sin(x))
}
{
asin(atan(x))-atan(asin(x))
}
=
_
{
x→0
}
\frac
{
1 + o(x)
}
{
1 + o(x)
}
= 1+o(x)
]
, so
[tex:
lim
_
{
x→0
}
\frac
{
sin(tan(x))-tan(sin(x))
}
{
asin(atan(x))-atan(asin(x))
}
= 1
]
Referenced by:
P60787
P60735
Thu 2023-11-02 19:18:36
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P60706
Yep, indeed. Wrong post quote, meant for
P60680
P60787
Fri 2023-11-03 05:36:42
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P60734
>It lags a lot, but it does looks clean, even when zooming in.
What software? On most things I try the rounding errors create garbage in that region. Does it sample new points as you zoom in or just enlarge what it's already drawn?
P60874
Fri 2023-11-03 20:39:41
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763ca0230cd74c0ad4ddcf15e2e29eb953a4675c8cfb3480154d58519363db18.png
1.15 KiB 180x180
P60397
>picrel
<Man I really need create more neuroplasticity in my brain by doing more advanced math.
Why is there alphabet in the math problem is this some kind of cipher and i being serious been long time since doing this types of math that I forgot how to do it.
Referenced by:
P65402
P65370
Sat 2023-12-02 03:09:21
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these codes arent rendering for me
using links 2
Referenced by:
P65402
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