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help-10
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205,143,587,749,494,800
MattDog_222
11/13/2021 01:44:56
it applies to the entire value of the expression
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205,143,587,749,494,800
MattDog_222
11/13/2021 01:45:01
in this case it happens to be a constant number
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カナン
11/13/2021 01:45:09
Oh so in this case z would be the x and (x+y) is the a value.
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MattDog_222
11/13/2021 01:45:29
yeah the varialbes are arbitrary
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カナン
11/13/2021 01:45:49
Oh ok.
1
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help-10
0196cb93ba3241ae932338f6b936ef66
769,113,579,403,608,000
カナン
11/13/2021 01:46:01
And then you can cancel ln and e because ln = log base e and loge(e) = 1.
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help-10
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MattDog_222
11/13/2021 01:47:22
$$log_e(e) = 1 = ln(e)$$
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help-10
0196cb93ba3241ae932338f6b936ef66
510,789,298,321,096,700
TeXit
11/13/2021 01:47:24
**MattDog\_222**
https://cdn.discordapp.c…587749494784.png
205143587749494784.png
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help-10
0196cb93ba3241ae932338f6b936ef66
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カナン
11/13/2021 01:47:58
Yeah that.
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help-10
0196cb93ba3241ae932338f6b936ef66
769,113,579,403,608,000
カナン
11/13/2021 01:48:06
So you got rid of the ln and the e through that.
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help-10
0196cb93ba3241ae932338f6b936ef66
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カナン
11/13/2021 01:48:18
And that leaves us with a^x from the previous law?
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help-10
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MattDog_222
11/13/2021 01:49:08
$$e^{ln(x)} = x$$
0
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help-10
0196cb93ba3241ae932338f6b936ef66
510,789,298,321,096,700
TeXit
11/13/2021 01:49:25
**MattDog\_222**
https://cdn.discordapp.c…587749494784.png
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MattDog_222
11/13/2021 01:49:51
you just need to know that they cancel and that it "brings the inside down"
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help-10
0196cb93ba3241ae932338f6b936ef66
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カナン
11/13/2021 01:50:11
Sorry if this is a dumb question but what is the inside?
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help-10
0196cb93ba3241ae932338f6b936ef66
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MattDog_222
11/13/2021 01:50:27
the value inside the parenthesis of the ln
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help-10
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MattDog_222
11/13/2021 01:50:31
ln(the inside)
0
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help-10
0196cb93ba3241ae932338f6b936ef66
205,143,587,749,494,800
MattDog_222
11/13/2021 01:50:32
$$e^{ln(1x+2x^2+3x^3+4x^4)} = 1x+2x^2+3x^3+4x^4$$
0
1
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0196cb93ba3241ae932338f6b936ef66
510,789,298,321,096,700
TeXit
11/13/2021 01:50:34
**MattDog\_222**
https://cdn.discordapp.c…587749494784.png
205143587749494784.png
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help-10
0196cb93ba3241ae932338f6b936ef66
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カナン
11/13/2021 01:50:36
Oh ok.
1
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help-10
0196cb93ba3241ae932338f6b936ef66
769,113,579,403,608,000
カナン
11/13/2021 01:51:02
So combining ln with e removes it by cancellation and then it just brings the entire exponent down.
1
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help-10
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MattDog_222
11/13/2021 01:51:13
in essense, yes
0
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help-10
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カナン
11/13/2021 01:51:16
Ok ok thank you.
1
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help-10
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MattDog_222
11/13/2021 01:51:18
also note that
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help-10
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205,143,587,749,494,800
MattDog_222
11/13/2021 01:52:29
$$x^{a + b + c} = x^a \cdot x^b \cdot x^c$$
0
1
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help-10
0196cb93ba3241ae932338f6b936ef66
510,789,298,321,096,700
TeXit
11/13/2021 01:52:31
**MattDog\_222**
https://cdn.discordapp.c…587749494784.png
205143587749494784.png
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MattDog_222
11/13/2021 01:52:39
not sure when something like that might come into play with exponent rules
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help-10
0196cb93ba3241ae932338f6b936ef66
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カナン
11/13/2021 01:52:41
Oh yeah laws of exponents.
1
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help-10
0196cb93ba3241ae932338f6b936ef66
769,113,579,403,608,000
カナン
11/13/2021 01:52:59
Multiplication of numbers with same base becomes addition of the powers but base stays the same.
1
0
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help-10
0196cb93ba3241ae932338f6b936ef66
205,143,587,749,494,800
MattDog_222
11/13/2021 01:53:40
also recall:
0
1
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help-10
0196cb93ba3241ae932338f6b936ef66
205,143,587,749,494,800
MattDog_222
11/13/2021 01:53:55
$$ln(x \cdot y) = ln(x) + ln(y)$$
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1
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help-10
0196cb93ba3241ae932338f6b936ef66
510,789,298,321,096,700
TeXit
11/13/2021 01:53:58
**MattDog\_222**
https://cdn.discordapp.c…587749494784.png
205143587749494784.png
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help-10
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MattDog_222
11/13/2021 01:54:32
$$ln(\frac{x}{y}) = ln(x) - ln(y)$$
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help-10
0196cb93ba3241ae932338f6b936ef66
769,113,579,403,608,000
カナン
11/13/2021 01:54:33
Multiplication of logs becomes addition.
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help-10
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510,789,298,321,096,700
TeXit
11/13/2021 01:54:35
**MattDog\_222**
https://cdn.discordapp.c…587749494784.png
205143587749494784.png
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MattDog_222
11/13/2021 01:54:52
yeah theres a whole bunch of various laws you could get into
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help-10
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カナン
11/13/2021 01:54:59
Oh ok.
1
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help-10
0196cb93ba3241ae932338f6b936ef66
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MattDog_222
11/13/2021 01:55:04
$$ln(1) = 0$$
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help-10
0196cb93ba3241ae932338f6b936ef66
510,789,298,321,096,700
TeXit
11/13/2021 01:55:06
**MattDog\_222**
https://cdn.discordapp.c…587749494784.png
205143587749494784.png
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カナン
11/13/2021 01:55:07
I'm taking IB AASL, do you think I need to remember all of them?
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help-10
0196cb93ba3241ae932338f6b936ef66
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MattDog_222
11/13/2021 01:55:08
is another important one
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help-10
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MattDog_222
11/13/2021 01:55:15
idk what that is
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help-10
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カナン
11/13/2021 01:55:18
Oh.
1
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help-10
0196cb93ba3241ae932338f6b936ef66
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カナン
11/13/2021 01:55:25
Ok nvm.
1
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help-10
0196cb93ba3241ae932338f6b936ef66
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カナン
11/13/2021 01:55:42
Log base e of 1 = 0.
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help-10
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MattDog_222
11/13/2021 01:55:44
but you need to be familiar with the basic exponent and log rules
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help-10
0196cb93ba3241ae932338f6b936ef66
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カナン
11/13/2021 01:55:52
Oh yeah because anything raised to the 0 is 1.
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help-10
0196cb93ba3241ae932338f6b936ef66
205,143,587,749,494,800
MattDog_222
11/13/2021 01:56:22
and the graph has a root at x=1
https://cdn.discordapp.c…744/ln-graph.png
ln-graph.png
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help-10
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MattDog_222
11/13/2021 01:56:25
so f(1) = 0
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help-10
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カナン
11/13/2021 01:56:37
Ah ok.
1
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help-10
0196cb93ba3241ae932338f6b936ef66
769,113,579,403,608,000
カナン
11/13/2021 01:56:42
The inverse would have y intercept of 1?
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help-10
0196cb93ba3241ae932338f6b936ef66
205,143,587,749,494,800
MattDog_222
11/13/2021 01:56:52
yes, e^0 = 1
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help-10
0196cb93ba3241ae932338f6b936ef66
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カナン
11/13/2021 01:57:16
Got it.
1
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help-10
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カナン
11/13/2021 01:57:21
Thank you very much.
1
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help-10
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MattDog_222
11/13/2021 01:57:33
https://cdn.discordapp.c…2520734/logs.png
logs.png
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MattDog_222
11/13/2021 01:57:38
e^1 = e obviously
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help-10
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MattDog_222
11/13/2021 01:57:43
and ln(e) = 1
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help-10
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カナン
11/13/2021 01:58:13
Ok so I just have to play around and substitute differnt numbers for x.
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help-10
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カナン
11/13/2021 01:58:16
To kind of get a feel.
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help-10
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MattDog_222
11/13/2021 01:59:38
sorta? I mean the x and y intercepts are whats important
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help-10
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カナン
11/13/2021 01:59:51
Oh ok.
1
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help-10
0196cb93ba3241ae932338f6b936ef66
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カナン
11/13/2021 01:59:55
They always stay the same at 1?
1
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help-10
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MattDog_222
11/13/2021 02:00:07
wdym
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help-10
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カナン
11/13/2021 02:00:22
I was just wondering if for all values of x the intercept stays at 1.
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help-10
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MattDog_222
11/13/2021 02:00:39
the graph *is* all values of x
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help-10
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MattDog_222
11/13/2021 02:00:46
so the intercept is only at x=1
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help-10
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カナン
11/13/2021 02:01:04
Oh ok.
1
0
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help-10
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カナン
11/13/2021 02:01:14
Wait I though there's an asymptote so it can't be all real numbers?
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MattDog_222
11/13/2021 02:01:46
yeah the domain is
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MattDog_222
11/13/2021 02:02:12
$$x \in (0, \infty)$$
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TeXit
11/13/2021 02:02:15
**MattDog\_222**
https://cdn.discordapp.c…587749494784.png
205143587749494784.png
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7512
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false
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MattDog_222
11/13/2021 02:02:24
for ln(x)
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help-10
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カナン
11/13/2021 02:02:27
Oh ok.
1
0
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help-10
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205,143,587,749,494,800
MattDog_222
11/13/2021 02:02:40
and the range is all reals
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help-10
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205,143,587,749,494,800
MattDog_222
11/13/2021 02:02:53
the inverse, e^x, has domain of all reals and range of positive reals
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help-10
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カナン
11/13/2021 02:03:07
Oh ok.
1
0
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null
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help-10
0196cb93ba3241ae932338f6b936ef66
769,113,579,403,608,000
カナン
11/13/2021 02:03:29
Thank you very much.
1
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help-10
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カナン
11/13/2021 02:03:32
I will go practice more questions.
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help-10
0196cb93ba3241ae932338f6b936ef66
769,113,579,403,608,000
カナン
11/13/2021 02:03:44
Thank you!
1
0
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help-10
0196cb93ba3241ae932338f6b936ef66
769,113,579,403,608,000
カナン
11/13/2021 02:05:46
.close
1
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help-10
903d066182f3488b8158ddabd553b929
531,822,880,950,976,500
BlasterOverlord
04/16/2022 02:01:56
Help
https://cdn.discordapp.c…20416_120117.png
IMG_20220416_120117.png
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help-10
903d066182f3488b8158ddabd553b929
531,822,880,950,976,500
BlasterOverlord
04/16/2022 02:02:05
How do I do this 😭
1
0
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help-10
903d066182f3488b8158ddabd553b929
772,851,082,065,215,500
KIRAI
04/16/2022 02:12:23
you should know formulas
0
1
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help-10
903d066182f3488b8158ddabd553b929
772,851,082,065,215,500
KIRAI
04/16/2022 02:12:31
try converting cos into sin or sin into cos
0
1
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1,914
help-10
903d066182f3488b8158ddabd553b929
531,822,880,950,976,500
BlasterOverlord
04/16/2022 02:17:32
But they're cubed and not squared, I could've converted them if they were squared. How do I do it if they're cubed?
1
0
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null
1,914
help-10
903d066182f3488b8158ddabd553b929
772,851,082,065,215,500
KIRAI
04/16/2022 02:22:17
There are some formulas for cube too, but the formulas ive done arent enough to solve this question.
0
1
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1,914
help-10
903d066182f3488b8158ddabd553b929
772,851,082,065,215,500
KIRAI
04/16/2022 02:22:34
So cant say
0
1
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1,914
help-10
903d066182f3488b8158ddabd553b929
772,851,082,065,215,500
KIRAI
04/16/2022 02:22:59
So
0
1
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1,914
help-10
903d066182f3488b8158ddabd553b929
772,851,082,065,215,500
KIRAI
04/16/2022 02:23:07
Just leave that question i guess
0
1
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1,914
help-10
903d066182f3488b8158ddabd553b929
772,851,082,065,215,500
KIRAI
04/16/2022 02:23:10
It could be wrong
0
1
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1,914
help-10
903d066182f3488b8158ddabd553b929
531,822,880,950,976,500
BlasterOverlord
04/16/2022 02:23:27
Damn...
1
0
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1,914
help-10
903d066182f3488b8158ddabd553b929
531,822,880,950,976,500
BlasterOverlord
04/16/2022 02:23:33
Can I see the formula though?
1
0
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1,914
help-10
903d066182f3488b8158ddabd553b929
772,851,082,065,215,500
KIRAI
04/16/2022 02:23:54
There are only 3 that ive done
0
1
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1,914
help-10
903d066182f3488b8158ddabd553b929
772,851,082,065,215,500
KIRAI
04/16/2022 02:23:57
💀💀
0
1
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help-10
903d066182f3488b8158ddabd553b929
772,851,082,065,215,500
KIRAI
04/16/2022 02:24:15
Its
0
1
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help-10
903d066182f3488b8158ddabd553b929
772,851,082,065,215,500
KIRAI
04/16/2022 02:25:01
Sin^3A = 3sinA - sin3A/idk sumn i dont remember
0
1
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1,914
help-10
903d066182f3488b8158ddabd553b929
772,851,082,065,215,500
KIRAI
04/16/2022 02:25:09
💀💀💀💀💀💀
0
1
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1,914
help-10
903d066182f3488b8158ddabd553b929
772,851,082,065,215,500
KIRAI
04/16/2022 02:25:19
But thats bot enough obviously
0
1
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1,914
help-10
903d066182f3488b8158ddabd553b929
772,851,082,065,215,500
KIRAI
04/16/2022 02:25:24
Not*
0
1
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1,914
help-10
903d066182f3488b8158ddabd553b929
531,822,880,950,976,500
BlasterOverlord
04/16/2022 02:28:58
Hmm maybe someone else can help
1
0
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