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help-10
e01aeda48e4744d79701ad2ed26263c7
912,243,308,779,167,700
Bearable
03/29/2022 03:48:36
@Zybikron elp
1
0
null
null
null
null
null
1,552
help-10
e01aeda48e4744d79701ad2ed26263c7
912,243,308,779,167,700
Bearable
03/29/2022 03:48:37
help
1
0
null
null
null
null
null
1,552
help-10
e01aeda48e4744d79701ad2ed26263c7
334,482,942,506,041,340
Zybikron
03/29/2022 03:50:26
that's correct
0
1
null
null
null
null
null
1,552
help-10
e01aeda48e4744d79701ad2ed26263c7
334,482,942,506,041,340
Zybikron
03/29/2022 03:50:34
so a = 1/m and b = -2/m
0
1
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:23:12
@Zybikron what is the inequality about
1
0
912,243,308,779,167,700
Bearable
7562
Bearable
false
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
334,482,942,506,041,340
Zybikron
03/29/2022 04:24:06
if m<0, what do you know about a=1/m?
0
1
334,482,942,506,041,340
Zybikron
5611
Zybikron
false
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:24:31
oh
1
0
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:24:35
is it that simple
1
0
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:24:35
bruh
1
0
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:24:37
i done that first
1
0
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:24:41
stupid questions
1
0
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:24:49
@Zybikron i think like some sort of m sign change lol
1
0
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:25:01
like i thought after we do this, m sign changes opposite xd
1
0
334,482,942,506,041,340
Zybikron
5611
Zybikron
false
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
334,482,942,506,041,340
Zybikron
03/29/2022 04:25:21
nope, you know the sign of m, so you can find the sign of a and b
0
1
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:25:22
15 last question
https://cdn.discordapp.c…612D74F6BB8C.png
1A4214B8-90D5-4BC1-AEF3-612D74F6BB8C.png
1
0
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:25:36
i don't realise how easy
1
0
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:25:38
these questions are
1
0
null
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null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
334,482,942,506,041,340
Zybikron
03/29/2022 04:26:48
for 15, b is in the domain, so 5-b is in the range. So you need a bracket
0
1
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:27:06
@Zybikron we substitue in right
1
0
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
334,482,942,506,041,340
Zybikron
03/29/2022 04:27:20
yeah
0
1
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:27:27
is square bracket because we are using b in the domain with square bracket right @Zybikron
1
0
334,482,942,506,041,340
Zybikron
5611
Zybikron
false
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
334,482,942,506,041,340
Zybikron
03/29/2022 04:27:43
yeah
0
1
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:27:59
how do we know
1
0
912,243,308,779,167,700
Bearable
7562
Bearable
false
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
334,482,942,506,041,340
Zybikron
03/29/2022 04:28:02
square bracket means that the end point is included in the interval
0
1
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:28:05
if we write 5a or 5b first
1
0
334,482,942,506,041,340
Zybikron
5611
Zybikron
false
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:28:13
it got something to do with a<b righ
1
0
912,243,308,779,167,700
Bearable
7562
Bearable
false
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:28:14
t
1
0
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
334,482,942,506,041,340
Zybikron
03/29/2022 04:28:15
parenthesis means the endpoint is excluded from the interval
0
1
null
null
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null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
334,482,942,506,041,340
Zybikron
03/29/2022 04:28:53
yes, if a<b, the 5-b<5-a
0
1
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:29:34
how though
1
0
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:29:39
that what confuses me lol @Zybikron
1
0
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
334,482,942,506,041,340
Zybikron
03/29/2022 04:29:59
which one takes more away from 5, b or a?
0
1
334,482,942,506,041,340
Zybikron
5611
Zybikron
false
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
334,482,942,506,041,340
Zybikron
03/29/2022 04:30:24
or, a<b means -b<-a and then add 5
0
1
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
334,482,942,506,041,340
Zybikron
03/29/2022 04:31:28
plug in some numbers to convince yourself it's true
0
1
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:32:02
hmm
1
0
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:41:35
@Zybikron SINCE a < b, we write 5-b first because it is a smaller number one?
1
0
null
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null
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null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
334,482,942,506,041,340
Zybikron
03/29/2022 04:42:23
b is the larger number, so when we subtract it we are removing a larger number
0
1
null
null
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null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
334,482,942,506,041,340
Zybikron
03/29/2022 04:42:48
which results in a smaller number, yes
0
1
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:45:07
@Zybikron would it be correct
1
0
334,482,942,506,041,340
Zybikron
5611
Zybikron
false
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:45:09
othe way around
1
0
null
null
null
null
null
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:45:11
with same circle and square
1
0
334,482,942,506,041,340
Zybikron
5611
Zybikron
false
1,553
help-10
7a0f078e20ee4be7b9bb1d2028706de8
912,243,308,779,167,700
Bearable
03/29/2022 04:45:12
?
1
0
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
912,243,308,779,167,700
Bearable
03/29/2022 05:01:01
.reopen
1
0
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:13:43
What do you mean?
0
1
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:14:15
Do you mean if [5-a,5-b) would be correct?
0
1
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:15:35
That wouldn’t be correct
0
1
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:15:43
a<b is what’s stated
0
1
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:16:12
If b is the larger number, when it’s subtracted from 5, it should become the smallest number
0
1
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:16:35
If a is the smallest number, when it’s subtracted from 5, it should become the largest number
0
1
912,243,308,779,167,700
Bearable
7562
Bearable
false
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:16:52
Thus, [5-b,5-a)
0
1
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:17:01
@Bearable
0
1
334,482,942,506,041,340
Zybikron
5611
Zybikron
false
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:17:10
Idk if I answered ur question
0
1
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:17:16
Think of it like this
0
1
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:17:30
Let’s substitute a=3 and b=4
0
1
912,243,308,779,167,700
Bearable
7562
Bearable
false
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:17:34
3<4
0
1
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:17:45
You agree with that right?
0
1
334,482,942,506,041,340
Zybikron
5611
Zybikron
false
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:18:23
f(a)=5-a
0
1
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:18:32
f(3)=5-3
0
1
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:18:35
=2
0
1
334,482,942,506,041,340
Zybikron
5611
Zybikron
false
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:18:51
f(b)=5-b
0
1
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:19:16
f(4)=5-4
0
1
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:19:19
=1
0
1
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:20:33
Do you notice how the ‘a’ value, which had the lowest domain has the greatest range
0
1
null
null
null
null
null
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:20:52
And how the ‘b’ value, which has the highest domain, has the lowest range
0
1
912,243,308,779,167,700
Bearable
7562
Bearable
false
1,554
help-10
32091437505a4b15affe09c59de3b48d
536,452,419,219,882,000
DontalRulz
03/29/2022 05:21:13
Idk if u understand what I’m saying so I’m gonna stop it here
0
1
null
null
null
null
null
1,555
help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:06:21
Find the minimum value of $$f(x,y)=e^{x^2+2(x-y)+y^2}$$
1
0
null
null
null
null
null
1,555
help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:06:39
$$f(x,y)=e^{x^2+2(x-y)+y^2}$$
1
0
null
null
null
null
null
1,555
help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:06:45
@TeXit
1
0
null
null
null
null
null
1,555
help-10
11b058342c9c4326b572f362c52af532
907,309,366,502,359,200
twiceshy
03/29/2022 06:07:32
$f(x,y)=e^{x^2+2(x-y)+y^2}$
0
1
null
null
null
null
null
1,555
help-10
11b058342c9c4326b572f362c52af532
510,789,298,321,096,700
TeXit
03/29/2022 06:07:34
**twiceshy** Compile Error! Click the :errors: reaction for more information. (You may edit your message to recompile.)
https://cdn.discordapp.c…366502359170.png
907309366502359170.png
0
1
null
null
null
null
null
1,555
help-10
11b058342c9c4326b572f362c52af532
907,309,366,502,359,200
twiceshy
03/29/2022 06:07:41
huh
0
1
912,243,308,779,167,700
Bearable
7562
Bearable
false
1,555
help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:07:51
no idea why that doesn't work
1
0
null
null
null
null
null
1,555
help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:08:19
https://cdn.discordapp.c…4264/unknown.png
unknown.png
1
0
null
null
null
null
null
1,555
help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:08:37
Works perfectly fine in a math block in Notion
1
0
null
null
null
null
null
1,555
help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:09:07
Anyways, to find the minimum value of this function, I have taken the partial derivative to x and y respectively
1
0
null
null
null
null
null
1,555
help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:10:28
Getting this
https://cdn.discordapp.c…9428/unknown.png
unknown.png
1
0
null
null
null
null
null
1,555
help-10
11b058342c9c4326b572f362c52af532
907,309,366,502,359,200
twiceshy
03/29/2022 06:11:02
where's the issue?
0
1
null
null
null
null
null
1,555
help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:11:16
So am I able to solve to get x=-1 using f_x and y=1 using f_y
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1,555
help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:11:36
but I am not sure how to solve e^{x^2+2(x-y)+y^2}
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help-10
11b058342c9c4326b572f362c52af532
234,339,303,944,224,770
stabulo
03/29/2022 06:12:21
Maybe you could say that f(x, y) will be at it's minimum value when x^2 + 2(x-y) + y^2 is at it's minimum value.
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help-10
11b058342c9c4326b572f362c52af532
907,309,366,502,359,200
twiceshy
03/29/2022 06:13:15
just plug your values for x and y into this expression and leave it in terms of e
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help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:13:31
So I need to find the minimum for that separately?
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help-10
11b058342c9c4326b572f362c52af532
907,309,366,502,359,200
twiceshy
03/29/2022 06:13:48
that approach will give the same answer you just got
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help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:15:05
So I can just ignore that part?
https://cdn.discordapp.c…2495/unknown.png
unknown.png
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help-10
11b058342c9c4326b572f362c52af532
907,309,366,502,359,200
twiceshy
03/29/2022 06:16:01
well e to the power of anything is always greater than zero
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help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:16:08
Oh wait I can reject the e^that
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help-10
11b058342c9c4326b572f362c52af532
907,309,366,502,359,200
twiceshy
03/29/2022 06:16:19
yeah.
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help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:16:25
I see, so it can just be rejected as it is not possible
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510,789,298,321,096,700
TeXit
0796
TeXit
true
1,555
help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:16:40
Thank you so much, that was the part I was stuck on
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1,555
help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:19:55
Actually, since any function f(x)=e^x would be minimized when x is minimized, instead of making the differentiation complicated for the first part
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help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:20:26
can I just state that and then find the minimum value of x^2+2(x-y_)+y^2 directly
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1,555
help-10
11b058342c9c4326b572f362c52af532
907,309,366,502,359,200
twiceshy
03/29/2022 06:22:20
yeah you could do it that way too but like i said you'll get the same answer you already have
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help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:22:57
Yes, I was just thinking of it incase I encounter a similar question for a test or sth
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help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:22:59
Thanks
1
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help-10
11b058342c9c4326b572f362c52af532
279,932,131,101,376,500
DCC
03/29/2022 06:23:01
.close
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help-10
1a78871adbb14a72b6a26781053ee489
646,456,528,056,090,600
robic
03/29/2022 06:53:10
any help guys?
1
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help-10
1a78871adbb14a72b6a26781053ee489
646,456,528,056,090,600
robic
03/29/2022 06:56:30
i let x = sqr x^2
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help-10
1a78871adbb14a72b6a26781053ee489
646,456,528,056,090,600
robic
03/29/2022 07:02:48
but i got stuck after that
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help-10
1a78871adbb14a72b6a26781053ee489
341,586,602,503,569,400
CST
03/29/2022 07:05:04
Conjugates
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help-10
1a78871adbb14a72b6a26781053ee489
646,456,528,056,090,600
robic
03/29/2022 07:09:36
can you elaborate please
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