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help-10
e7c8a382059f40c394c99b13307caccd
265,853,506,664,136,700
ScapeProf
04/16/2022 08:52:22
You should have worked with normal dist before and figure out how to get prob given an observation
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John👽
04/16/2022 08:54:19
standard normal mean is 0, why are values of Zn is tails (which i assume it means values far away from mean) unlikely under null hypothesis?
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ScapeProf
04/16/2022 09:00:07
Just looking at formula we do sample mean -mu_0 (and some other stuff)
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ScapeProf
04/16/2022 09:00:24
But if they are close we get a lower value than if they are far away
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b638f8e7b7cc43e2aa303f45269aa5cd
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The Torrent v2
04/16/2022 09:36:56
https://cdn.discordapp.c…7678/unknown.png
unknown.png
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b638f8e7b7cc43e2aa303f45269aa5cd
558,061,348,358,193,150
The Torrent v2
04/16/2022 09:36:58
i aim in painn
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help-10
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558,061,348,358,193,150
The Torrent v2
04/16/2022 09:37:11
what i tried was subbing y = vx in straight
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help-10
b638f8e7b7cc43e2aa303f45269aa5cd
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The Torrent v2
04/16/2022 09:37:19
then i know that dy/dx = v
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help-10
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lgkoo
04/16/2022 09:37:35
it seems that the content you do are very similar to mine, are you doing a-level further maths?
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help-10
b638f8e7b7cc43e2aa303f45269aa5cd
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The Torrent v2
04/16/2022 09:37:44
so you get v = (1/x) ((4+v)(1+v)/(x))
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help-10
b638f8e7b7cc43e2aa303f45269aa5cd
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The Torrent v2
04/16/2022 09:38:02
yep, year 2 exams in a month doing exam board OCR B (MEI)
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John👽
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lgkoo
04/16/2022 09:38:30
same, but mine is pearson edexcel
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lgkoo
04/16/2022 09:39:25
is dy/dx = v though?
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help-10
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lgkoo
04/16/2022 09:39:53
v is more like a variable than a constant
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help-10
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The Torrent v2
04/16/2022 09:40:13
igggg so alright time to do sum product rule then
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b638f8e7b7cc43e2aa303f45269aa5cd
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lgkoo
04/16/2022 09:40:18
yup
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b638f8e7b7cc43e2aa303f45269aa5cd
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The Torrent v2
04/16/2022 09:41:05
alright that literally solves everything lol thanks
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lgkoo
04/16/2022 09:41:58
:catthumbsup:
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The Torrent v2
04/16/2022 09:47:32
.close
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Deleted User
04/16/2022 10:16:39
https://cdn.discordapp.c…20416_192707.jpg
IMG_20220416_192707.jpg
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Deleted User
04/16/2022 10:18:54
I started by differentiating the equation with respect to x. Now I can't eliminate the constant 'a' between the initial equation and the equation we got after differentiating
https://cdn.discordapp.c…20416_194744.jpg
20220416_194744.jpg
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Sup?
04/16/2022 11:44:28
@Deleted User No need to eliminate "a".
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help-10
774f41679b2140c1b051a38ef87904b6
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Sup?
04/16/2022 11:44:36
Now just take the negative reciprocal of dy/dx
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help-10
774f41679b2140c1b051a38ef87904b6
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Sup?
04/16/2022 11:44:43
then integrate the new dy/dx
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Deleted User
04/16/2022 12:14:04
The answer should be x² + y² -2a² logx= c
https://cdn.discordapp.c…20416_214259.jpg
20220416_214259.jpg
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butter
04/16/2022 12:35:39
try eliminating the parameter lambda and then replacing dy/dx with the negative reciprocal
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Deleted User
04/16/2022 22:25:27
I still am not able to get the answer
https://cdn.discordapp.c…20417_075454.jpg
20220417_075454.jpg
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butter
04/17/2022 00:25:13
@Deleted User you've missed a 'y' in the step two after "putting this in eq (i)"
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usernamephobic
04/17/2022 00:41:39
can you replace dy/dx by -dx/dy?
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usernamephobic
04/17/2022 00:42:31
Am I missing something or that's totally wrong
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butter
04/17/2022 00:47:25
you gotta eliminate the parameters first
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butter
04/17/2022 00:48:14
@Deleted User which book are you following for DEs?
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774f41679b2140c1b051a38ef87904b6
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Disorganized
04/17/2022 01:09:00
https://cdn.discordapp.c…20416_220847.jpg
20220416_220847.jpg
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Disorganized
04/17/2022 01:09:31
https://www.kristakingmath.com/blog/how-to-find-orthogonal-trajectories#:~:text=The%20orthogonal%20trajectories%20are%20the,the%20curves%20in%20original%20family.
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lgkoo
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Disorganized
04/17/2022 01:09:59
don't change dy/dx, just reciprocate and negate the other side
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774f41679b2140c1b051a38ef87904b6
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Disorganized
04/17/2022 01:10:22
(same thing, actually)
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The Torrent v2
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Disorganized
04/17/2022 01:11:43
you have to solve for your parameter (lambda), and then plug in the expression for it after you find dy/dx.
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Disorganized
04/17/2022 01:11:58
I expected a lot of things to cancel but you can see it was a sloppy experience for me.
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774f41679b2140c1b051a38ef87904b6
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Disorganized
04/17/2022 01:12:25
where it says "orthogonal family", I flipped and negated the RHS
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help-10
774f41679b2140c1b051a38ef87904b6
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Disorganized
04/17/2022 01:12:56
then you just get your y-business on the dy-side and your dx on the x-side
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help-10
774f41679b2140c1b051a38ef87904b6
598,041,720,583,618,600
Disorganized
04/17/2022 01:13:28
Understand what is happening with the constants of integration because I didn't write everything
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help-10
774f41679b2140c1b051a38ef87904b6
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Disorganized
04/17/2022 01:13:51
when you integrate both sides, both sides have a unique constant, since this is indefinite integration
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help-10
774f41679b2140c1b051a38ef87904b6
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Disorganized
04/17/2022 01:14:02
so like C_1 on the left, C_2 on the right
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help-10
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Disorganized
04/17/2022 01:14:32
but we can move either of those to the other side and combine them so that C_2 - C_1 = C
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Disorganized
04/17/2022 01:14:48
...because, "why not"? It's just a constant.
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Deleted User
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Disorganized
04/17/2022 01:15:35
and if I multiply the equation through by 2, then 2-times-C is *still* just an arbitrary constant. So I rewrote it as "C" again in the last line.
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Disorganized
04/17/2022 01:16:08
@Deleted User
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Deleted User
04/17/2022 01:19:09
Yes, I got the answer now. Thank you so much!
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Deleted User
04/17/2022 01:19:19
.close
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64bb8913e7b14d06aa9900fca1da50dc
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ibzi
04/17/2022 02:19:40
https://cdn.discordapp.c…2138/unknown.png
unknown.png
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ibzi
04/17/2022 02:19:45
how do i do this one?
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Syst3ms
04/17/2022 02:32:25
If a polynomial P is such that P(2)=0, how can you factor P?
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64bb8913e7b14d06aa9900fca1da50dc
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Ann
04/17/2022 02:36:06
you don't even need that for most of the exercise
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Ann
04/17/2022 02:36:11
@ibzi do you still need help with this?
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ibzi
04/17/2022 02:37:05
yeah
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ibzi
04/17/2022 02:37:22
i did this
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64bb8913e7b14d06aa9900fca1da50dc
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Ann
04/17/2022 02:37:24
have you worked with the concept of 'subspace' before?
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ibzi
04/17/2022 02:37:28
https://cdn.discordapp.c…9329/unknown.png
unknown.png
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64bb8913e7b14d06aa9900fca1da50dc
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ibzi
04/17/2022 02:37:35
i got the null space
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ibzi
04/17/2022 02:37:39
would that be the basis?
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64bb8913e7b14d06aa9900fca1da50dc
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Ann
04/17/2022 02:37:40
what is this
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ibzi
04/17/2022 02:37:50
yes
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64bb8913e7b14d06aa9900fca1da50dc
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Ann
04/17/2022 02:38:17
okay so
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64bb8913e7b14d06aa9900fca1da50dc
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Ann
04/17/2022 02:38:25
can you tell me the definition of a subspace?
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ibzi
04/17/2022 02:38:49
like the axioms?
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help-10
64bb8913e7b14d06aa9900fca1da50dc
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Ann
04/17/2022 02:39:00
the definition of a subspace.
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ibzi
04/17/2022 02:39:07
oh
1
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64bb8913e7b14d06aa9900fca1da50dc
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Ann
04/17/2022 02:39:15
let V be a vector space. a subspace of V is a \_\_\_\_
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ibzi
04/17/2022 02:39:15
it is a vector space inside of another vector space
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ibzi
04/17/2022 02:39:28
vector space?
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Ann
04/17/2022 02:39:39
no
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Ann
04/17/2022 02:39:51
well, ok, sure, subspaces are vector spaces in their own right
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help-10
64bb8913e7b14d06aa9900fca1da50dc
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Ann
04/17/2022 02:40:11
but first and foremost a subspace of V is a sub**set** of V which obeys some properties that _make_ it a vector space in its own right.
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help-10
64bb8913e7b14d06aa9900fca1da50dc
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Ann
04/17/2022 02:40:13
what are those properties?
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ibzi
04/17/2022 02:40:41
um
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Ann
04/17/2022 02:40:50
brb
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ibzi
04/17/2022 02:41:15
c(vu) = (cv)u c(v+u) = cv + cu V(0) = 0
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64bb8913e7b14d06aa9900fca1da50dc
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Ann
04/17/2022 02:44:47
no, that is not correct
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Ann
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64bb8913e7b14d06aa9900fca1da50dc
183,668,144,404,037,630
Ann
04/17/2022 02:45:33
these look like axioms of a vector space in general, 2 of which you have poorly stated
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64bb8913e7b14d06aa9900fca1da50dc
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Ann
04/17/2022 02:45:46
do the words "closure under addition" and "closure under scaling" ring any bells?
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64bb8913e7b14d06aa9900fca1da50dc
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ibzi
04/17/2022 02:45:52
yes
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help-10
64bb8913e7b14d06aa9900fca1da50dc
183,668,144,404,037,630
Ann
04/17/2022 02:46:06
ok well that's what i expected to hear from you
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64bb8913e7b14d06aa9900fca1da50dc
380,989,650,615,140,350
ibzi
04/17/2022 02:47:53
umm
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64bb8913e7b14d06aa9900fca1da50dc
380,989,650,615,140,350
ibzi
04/17/2022 02:49:31
i'm not sure what u mean
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64bb8913e7b14d06aa9900fca1da50dc
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ibzi
04/17/2022 02:49:31
it should be in the span of the vector space? like the subspace in our question should be in P^2 too?
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Ann
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Ann
04/17/2022 02:52:17
i have a feeling you're throwing words around with little idea of what they should mean
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help-10
64bb8913e7b14d06aa9900fca1da50dc
183,668,144,404,037,630
Ann
04/17/2022 02:52:52
your question says $H := \{ p \in \mathbb{P}_2 \mid p(2) = 0 \}$. it says this in words rather than symbols, but that is what it says.
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64bb8913e7b14d06aa9900fca1da50dc
510,789,298,321,096,700
TeXit
04/17/2022 02:52:55
**Ann**
https://cdn.discordapp.c…144404037632.png
183668144404037632.png
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help-10
64bb8913e7b14d06aa9900fca1da50dc
380,989,650,615,140,350
ibzi
04/17/2022 02:53:14
yeah i understand that
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64bb8913e7b14d06aa9900fca1da50dc
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Ann
04/17/2022 02:53:30
$H$ is defined as a subset of $\mathbb{P}_2$. there is no need to check that it is a subset of $\mathbb{P}_2$ --- it is already known to be one.
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64bb8913e7b14d06aa9900fca1da50dc
510,789,298,321,096,700
TeXit
04/17/2022 02:53:32
**Ann**
https://cdn.discordapp.c…144404037632.png
183668144404037632.png
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help-10
64bb8913e7b14d06aa9900fca1da50dc
183,668,144,404,037,630
Ann
04/17/2022 02:55:35
what we are interested in is showing that $H$ is a sub\textbf{space} of $\mathbb{P}_2$ --- namely: \begin{itemize} \item $H$ is nonempty, \item for every $p \in H$ and $q \in H$ we have $p + q \in H$, \item for every $p \in H$ and $c \in \bR$ we have $cp \in H$. \end{itemize} this is the \textbf{definition} of what the...
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510,789,298,321,096,700
TeXit
04/17/2022 02:56:06
**Ann**
https://cdn.discordapp.c…144404037632.png
183668144404037632.png
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Ann
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Ann
false
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64bb8913e7b14d06aa9900fca1da50dc
183,668,144,404,037,630
Ann
04/17/2022 02:56:30
do you understand what to do? Y/N
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380,989,650,615,140,350
ibzi
04/17/2022 02:57:27
the question says we may assume that H is a subspace of P^2, so we don't need to prove that
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help-10
64bb8913e7b14d06aa9900fca1da50dc
183,668,144,404,037,630
Ann
04/17/2022 02:57:57
oh you may assume it without proof?
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64bb8913e7b14d06aa9900fca1da50dc
183,668,144,404,037,630
Ann
04/17/2022 02:58:13
it's not like the proof is that hard
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64bb8913e7b14d06aa9900fca1da50dc
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ibzi
04/17/2022 02:58:25
yeah i know how to do that
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help-10
64bb8913e7b14d06aa9900fca1da50dc
380,989,650,615,140,350
ibzi
04/17/2022 02:58:30
but
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help-10
64bb8913e7b14d06aa9900fca1da50dc
380,989,650,615,140,350
ibzi
04/17/2022 02:58:41
we need to find: "Find a basis for H"
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