#help-27 | Mathematics | Page 140

versed vault Dec 2, 2023, 3:23 AM

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SinC/14

barren frigate Dec 2, 2023, 3:23 AM

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okok

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ioh

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oh

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i watched so many videos on this still didnt understand

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i been stuck on this assignment for 2 weeks I keep quitting

versed vault Dec 2, 2023, 3:24 AM

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do u understand what the ambigous case is conceptly

barren frigate Dec 2, 2023, 3:25 AM

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conceptly uhh

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like defining it?

versed vault Dec 2, 2023, 3:25 AM

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I would watch a yt video on it

barren frigate Dec 2, 2023, 3:25 AM

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I came here because i didnt understand

versed vault Dec 2, 2023, 3:25 AM

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but for this problem

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u have ur ratio

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which u said was this

barren frigate Dec 2, 2023, 3:26 AM

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ambigous case is when we arent given the info to sovle the triangle

versed vault Dec 2, 2023, 3:26 AM

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....

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no

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we are

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its just you can get 2 diffirent triangles for the given triangle

barren frigate Dec 2, 2023, 3:26 AM

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that what my teacher taught us

barren frigate Dec 2, 2023, 3:27 AM

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versed vault which u said was this

opposite

versed vault Dec 2, 2023, 3:27 AM

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... doesnt matter

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its the same exact thing

barren frigate Dec 2, 2023, 3:27 AM

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😨

versed vault Dec 2, 2023, 3:27 AM

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now solve for angle C

barren frigate Dec 2, 2023, 3:27 AM

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how tho

versed vault Dec 2, 2023, 3:28 AM

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cross mutiply the 14

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you want to isolate sinC

barren frigate Dec 2, 2023, 3:28 AM

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14* the value of sin?

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sin39/10

versed vault Dec 2, 2023, 3:28 AM

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14sin(39)/10

barren frigate Dec 2, 2023, 3:28 AM

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okok that makes sense

versed vault Dec 2, 2023, 3:28 AM

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So that gets you what

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sinC=?

barren frigate Dec 2, 2023, 3:28 AM

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versed vault

I knew the formula but didnt understand it looked like this

barren frigate Dec 2, 2023, 3:29 AM

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versed vault sinC=?

ok wait

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lemme calculatye

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50.4803633161 is what i got

versed vault Dec 2, 2023, 3:30 AM

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uh thats wrong

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are u radians?

barren frigate Dec 2, 2023, 3:30 AM

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versed vault Dec 2, 2023, 3:31 AM

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not 10 deg

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...

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its just 10

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10 is a length

barren frigate Dec 2, 2023, 3:31 AM

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💀 oh yeah

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0.88104854747

versed vault Dec 2, 2023, 3:31 AM

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ye

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So

barren frigate Dec 2, 2023, 3:31 AM

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now wdym by sinc_

versed vault Dec 2, 2023, 3:31 AM

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sinC=0.88104854747

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now do sin inverse

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to find theta

barren frigate Dec 2, 2023, 3:31 AM

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oh now we have anfgle by -1

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whats theta in this

versed vault Dec 2, 2023, 3:31 AM

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angle C

barren frigate Dec 2, 2023, 3:32 AM

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its gonna be the straight 90 degree line?

versed vault Dec 2, 2023, 3:32 AM

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...

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No

barren frigate Dec 2, 2023, 3:32 AM

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;-;

versed vault Dec 2, 2023, 3:32 AM

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Just put it in ur calc

barren frigate Dec 2, 2023, 3:32 AM

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versed vault Dec 2, 2023, 3:32 AM

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so

barren frigate Dec 2, 2023, 3:32 AM

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so C is 62 degree?

versed vault Dec 2, 2023, 3:32 AM

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you know know that there is two possible values for AC

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Because

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The side opposite the given angle is smaller than the side ajacent to the given angle.

barren frigate Dec 2, 2023, 3:33 AM

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versed vault you know know that there is two possible values for AC

I do not know bro

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how this leading me to that

versed vault Dec 2, 2023, 3:34 AM

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because a<c in this case

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and ambig case

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here let me send a notes exampke

barren frigate Dec 2, 2023, 3:34 AM

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versed vault The side opposite the given angle is smaller than the side ajacent to the given ...

side a is smaller to our adjacent

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our adjacent is

versed vault Dec 2, 2023, 3:34 AM

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#

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Reference this

barren frigate Dec 2, 2023, 3:35 AM

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wh

barren frigate Dec 2, 2023, 3:35 AM

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barren frigate our adjacent is

14?

barren frigate Dec 2, 2023, 3:36 AM

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versed vault

you want me to study this?

versed vault Dec 2, 2023, 3:36 AM

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You don’t have to

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But it would help

barren frigate Dec 2, 2023, 3:37 AM

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https://tenor.com/view/kurt-angle-deep-breath-sighs-deep-sigh-wwe-gif-11382487

Tenor

barren frigate Dec 2, 2023, 3:37 AM

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versed vault because a<c in this case

uihhh

versed vault Dec 2, 2023, 3:37 AM

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But do you see why it’s two?

barren frigate Dec 2, 2023, 3:37 AM

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trying to

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what is our adjacent

versed vault Dec 2, 2023, 3:37 AM

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Basically given the opposite side of the given angle is smaller than the the side

barren frigate Dec 2, 2023, 3:37 AM

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beside Angle A

versed vault Dec 2, 2023, 3:38 AM

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Our adjacent could be either side b or c

barren frigate Dec 2, 2023, 3:38 AM

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ok so

versed vault Dec 2, 2023, 3:38 AM

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I never learned the height method

barren frigate Dec 2, 2023, 3:38 AM

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but what if height is small

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and we only checked a<c

versed vault Dec 2, 2023, 3:38 AM

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Height doesn’t affect law of sines

barren frigate Dec 2, 2023, 3:38 AM

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WQHART

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DAYUM

versed vault Dec 2, 2023, 3:39 AM

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Your teacher may give you the height

versed vault Dec 2, 2023, 3:39 AM

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versed vault Height doesn’t affect law of sines

I mean it does but

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For this example, you don’t need the height at all

barren frigate Dec 2, 2023, 3:39 AM

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versed vault Your teacher may give you the height

she never does

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good point

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ok I get it

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are u free for more quesdtions or did I suck up ur brain cells

versed vault Dec 2, 2023, 3:40 AM

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Sure I can help

barren frigate Dec 2, 2023, 3:41 AM

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ok wait let me put this explanation together

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Find Angle C= 14sin(39deg)/10
arcsin(0.88104854747) = 61.7 = 62 Degrees
Explanation: The side opposite the given angle is smaller than the side adjacent to the given angle.

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versed vault Dec 2, 2023, 3:43 AM

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Well not that’s just the case i

barren frigate Dec 2, 2023, 3:44 AM

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wott

versed vault Dec 2, 2023, 3:44 AM

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Because the side opposite of the given angle is smaller

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If we get a theta value that is possible, then there is two triangles in that case

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If theta is equal to 90 there is one triangle

barren frigate Dec 2, 2023, 3:44 AM

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what is theta

versed vault Dec 2, 2023, 3:45 AM

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If you plug into your calc, and you get an error you have zero triangles

barren frigate Dec 2, 2023, 3:45 AM

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versed vault Because the side opposite of the given angle is smaller

which is 10cm

versed vault Dec 2, 2023, 3:45 AM

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barren frigate what is theta

C

barren frigate Dec 2, 2023, 3:45 AM

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versed vault If we get a theta value that is possible, then there is two triangles in that ca...

wdym that is possible

versed vault Dec 2, 2023, 3:45 AM

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Measure of angle C

versed vault Dec 2, 2023, 3:45 AM

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barren frigate wdym that is possible

Like if we get a value for theta in our calc

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Sometimes you plug it into your calc and it will say error

barren frigate Dec 2, 2023, 3:45 AM

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theres times we dont get it?

versed vault Dec 2, 2023, 3:45 AM

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Yes

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There’s times where there is no triangle

barren frigate Dec 2, 2023, 3:45 AM

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is that our fault or thats a real thing

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ohh

versed vault Dec 2, 2023, 3:45 AM

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Real thing

barren frigate Dec 2, 2023, 3:46 AM

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barren frigate

then we choose cant be calculated in that situation?

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so what do i add to my explanation

versed vault Dec 2, 2023, 3:47 AM

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I mean I don’t know how your teacher teaches it

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And she may not understand the explanation but

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I would say “Because the opposite side of the given angle is less than the side adjacent of the given angle and a theta value for angle C is possible then there must be two triangles”

barren frigate Dec 2, 2023, 3:49 AM

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is there another word we can use than theta

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cause theta we didnt use it for this from what i remember

versed vault Dec 2, 2023, 3:50 AM

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Just say measure of angle C

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Theta is just a way of expressing an unknown angle

barren frigate Dec 2, 2023, 3:50 AM

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can i say

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the unknown angle (which is c)

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wait no

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thats stupid

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alr

versed vault Dec 2, 2023, 3:51 AM

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Theta is this

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θ

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You probs have seen it

barren frigate Dec 2, 2023, 3:53 AM

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yes

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Im gonna go shower

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ill make a new question later and ping u and if ur free u can respond if ur not its fine

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Thank u for the help Propus

versed vault Dec 2, 2023, 3:54 AM

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Anytime

devout snowBOT Dec 2, 2023, 4:09 AM

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@barren frigate Has your question been resolved?

devout snowBOT Dec 2, 2023, 4:24 AM

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devout snowBOT Dec 2, 2023, 5:04 AM

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cedar ginkgo Dec 2, 2023, 5:06 AM

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sorry ignore that image^^

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the answer say that this graph has a pos skew

devout snowBOT Dec 2, 2023, 5:08 AM

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cedar ginkgo Dec 2, 2023, 5:08 AM

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.close

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dapper barn Dec 2, 2023, 5:24 AM

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Where do I go solving this from here?

devout snowBOT Dec 2, 2023, 5:24 AM

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dapper barn Where do I go solving this from here?

dapper barn Dec 2, 2023, 5:25 AM

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Any help is appreciated

quaint fulcrum Dec 2, 2023, 5:26 AM

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u have any notes on how to do it?

dapper barn Dec 2, 2023, 5:27 AM

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Nope

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First time solving a problem like this

quaint fulcrum Dec 2, 2023, 5:27 AM

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same :(

supple knot Dec 2, 2023, 5:27 AM

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,rotate

woven radishBOT Dec 2, 2023, 5:27 AM

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dapper barn Dec 2, 2023, 5:28 AM

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supple knot ,rotate

Have any ideas?

devout snowBOT Dec 2, 2023, 5:43 AM

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@dapper barn Has your question been resolved?

dapper barn Dec 2, 2023, 5:44 AM

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How do I solve thi@s?

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This*

dapper barn Dec 2, 2023, 6:02 AM

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Hello?

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??????????

dapper barn Dec 2, 2023, 6:21 AM

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.close

devout snowBOT Dec 2, 2023, 6:21 AM

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devout snowBOT Dec 2, 2023, 4:24 PM

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main oasis Dec 2, 2023, 5:02 PM

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Hello everyone!
Kate has some 10% vinegar. How much water does she need to add to it in order to get 3 kg of 6% vinegar?
I am doing this type of question for the first time and with no clue on the process (btw my working is shown in picture 2). Is there a way of optimizing it?

devout snowBOT Dec 2, 2023, 5:02 PM

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main oasis Hello everyone! **Kate has some 10% vinegar. How much water does she need to add...

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@main oasis Has your question been resolved?

main oasis Dec 2, 2023, 5:18 PM

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<@&286206848099549185>

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.close

devout snowBOT Dec 2, 2023, 5:19 PM

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Channel closed

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main oasis Dec 2, 2023, 5:19 PM

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: /

devout snowBOT Dec 2, 2023, 5:20 PM

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finite briar Dec 2, 2023, 5:27 PM

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Given, $\frac{5xu}{2} + u = v$, such that $u = \sin^2(\frac{\pi x}{2})$ and $v = \cos(\pi x)$

devout snowBOT Dec 2, 2023, 5:27 PM

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finite briar Given, $\frac{5xu}{2} + u = v$, such that $u = \sin^2(\frac{\pi x}{2})$ and $v =...

finite briar Dec 2, 2023, 5:29 PM

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I know it has an integral solution at x=2 (from graphing)

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atleast I think so

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let me confirm

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wait nvm

rugged sparrow Dec 2, 2023, 5:30 PM

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what for do you need to solve?

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x?

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u?

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v?

finite briar Dec 2, 2023, 5:30 PM

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well yes ofc

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i wrote u and v cus it would get big and messy

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one sec I need to modify the equation

woven radishBOT Dec 2, 2023, 5:31 PM

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ItzKraken

finite briar Dec 2, 2023, 5:32 PM

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this should have a solution at x=2

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wait it doesnt does it

rugged sparrow Dec 2, 2023, 5:32 PM

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you bsure?

finite briar Dec 2, 2023, 5:32 PM

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Me doing something wrong

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wait

rugged sparrow Dec 2, 2023, 5:33 PM

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what I'd try as a first step is covert sin^2(pix/2) into cos

finite briar Dec 2, 2023, 5:34 PM

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rugged sparrow what I'd try as a first step is covert sin^2(pix/2) into cos

how does that help

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wait thats cos^2 of pi/2(x-1) no

rugged sparrow Dec 2, 2023, 5:34 PM

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that definitely does

finite briar Dec 2, 2023, 5:34 PM

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finite briar wait thats cos^2 of pi/2(x-1) no

what after this?

rugged sparrow Dec 2, 2023, 5:34 PM

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$\sin^{2}\left(\frac{\pi x}{2}\right)=\frac{1+\cos\left(\pi x\right)}{2}$

woven radishBOT Dec 2, 2023, 5:34 PM

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B-eard

finite briar Dec 2, 2023, 5:35 PM

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woven radish **B\-eard**

oh sin(x/2) squared?

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nvm

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.close

devout snowBOT Dec 2, 2023, 5:36 PM

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Channel closed

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rugged sparrow Dec 2, 2023, 5:36 PM

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did you get it?

devout snowBOT Dec 2, 2023, 5:37 PM

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restive river Dec 2, 2023, 5:47 PM

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Simplify 5x^2x3m^6

devout snowBOT Dec 2, 2023, 5:47 PM

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restive river Simplify 5x^2x3m^6

restive river Dec 2, 2023, 5:48 PM

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and now I wait

timber pebble Dec 2, 2023, 5:49 PM

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is this $5x^2 \times 3m^6$?

woven radishBOT Dec 2, 2023, 5:49 PM

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jan Niku

timber pebble Dec 2, 2023, 5:49 PM

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or $5x^2x3m^6$?

woven radishBOT Dec 2, 2023, 5:49 PM

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jan Niku

restive river Dec 2, 2023, 5:49 PM

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woven radish **jan Niku**

yes

timber pebble Dec 2, 2023, 5:50 PM

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!nosols

devout snowBOT Dec 2, 2023, 5:50 PM

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As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.

restive river Dec 2, 2023, 5:50 PM

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uhm

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i still dont understand

upbeat violet Dec 2, 2023, 5:50 PM

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stop giving solutions

timber pebble Dec 2, 2023, 5:51 PM

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restive river i still dont understand

so, you gotta combine everything you can combine

upbeat violet Dec 2, 2023, 5:51 PM

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restive river i still dont understand

is it 5x^2 times 3m^6 or 5x^2x3m^6

timber pebble Dec 2, 2023, 5:51 PM

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combining works like this: numbers go with numbers, letters can go with like letters, and onwards

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so numbers go with numbers, m goes with m, x goes with x

restive river Dec 2, 2023, 5:51 PM

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upbeat violet is it 5x^2 times 3m^6 or 5x^2x3m^6

the first one

upbeat violet Dec 2, 2023, 5:51 PM

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woven radish **jan Niku**

alright so this one

timber pebble Dec 2, 2023, 5:52 PM

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so all you can do is combine numbers

restive river Dec 2, 2023, 5:52 PM

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yes

timber pebble Dec 2, 2023, 5:52 PM

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$5 \times x^2 \times 3 \times m^6$

woven radishBOT Dec 2, 2023, 5:52 PM

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jan Niku

restive river Dec 2, 2023, 5:52 PM

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so we'll bring the powers down?

timber pebble Dec 2, 2023, 5:52 PM

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Not quite

restive river Dec 2, 2023, 5:53 PM

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uhm

timber pebble Dec 2, 2023, 5:53 PM

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restive river uhm

you want to group everything thats similar together

restive river Dec 2, 2023, 5:53 PM

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i cant really focus with multiple ppl here.

timber pebble Dec 2, 2023, 5:53 PM

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restive river i cant really focus with multiple ppl here.

sorry theres stuff happening in the background

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do you get what I mean by similar things go together @restive river ?

restive river Dec 2, 2023, 5:54 PM

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bro, can you please like..get out?

timber pebble Dec 2, 2023, 5:54 PM

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maybe we should just wait a minute or two here

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bearlain

restive river Dec 2, 2023, 5:54 PM

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timber pebble maybe we should just wait a minute or two here

yh

timber pebble Dec 2, 2023, 5:54 PM

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sorry elio

restive river Dec 2, 2023, 5:54 PM

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cuz i have an exam on tuesday

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paper 2 with no calculator

timber pebble Dec 2, 2023, 5:54 PM

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okay, i think were good

restive river Dec 2, 2023, 5:55 PM

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thanks

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yh

timber pebble Dec 2, 2023, 5:55 PM

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restive river cuz i have an exam on tuesday

do you get what I mean about similar things go together?

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x goes with x, numbers go with numbers

restive river Dec 2, 2023, 5:55 PM

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naur

timber pebble Dec 2, 2023, 5:55 PM

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naur?

restive river Dec 2, 2023, 5:55 PM

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no

timber pebble Dec 2, 2023, 5:55 PM

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oh

restive river Dec 2, 2023, 5:55 PM

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so like hold on

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5 time 3 times x^2 times m^6?

timber pebble Dec 2, 2023, 5:56 PM

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yea, exactly

restive river Dec 2, 2023, 5:56 PM

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oh ok

timber pebble Dec 2, 2023, 5:56 PM

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you put the numbers together, the x's together, and the m's together

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but youre still not quite done

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$5 \times 3 \times x^2 \times m^6$

woven radishBOT Dec 2, 2023, 5:56 PM

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jan Niku

timber pebble Dec 2, 2023, 5:56 PM

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we can still simplify this a little more

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(what is 5 x 3?)

restive river Dec 2, 2023, 5:56 PM

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hmm

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15

timber pebble Dec 2, 2023, 5:56 PM

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yea

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$15 \times x^2 \times m^6$

woven radishBOT Dec 2, 2023, 5:57 PM

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jan Niku

timber pebble Dec 2, 2023, 5:57 PM

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and youre done. you can check youre done by making sure that everything is grouped together

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theres only one term of numbers

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only one term of x's

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and only one term of m's

restive river Dec 2, 2023, 5:57 PM

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so that is: 15x^2m^6

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?

timber pebble Dec 2, 2023, 5:58 PM

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yea

restive river Dec 2, 2023, 5:58 PM

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o

timber pebble Dec 2, 2023, 5:58 PM

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i guess its important to note its customary to write numbers first

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some ppl consider it wrong if you put the number somewhere else

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but you have it first so, just saying

restive river Dec 2, 2023, 5:58 PM

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thank youuuu!!

timber pebble Dec 2, 2023, 5:58 PM

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happy

restive river Dec 2, 2023, 5:58 PM

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dont be suprised to see me back

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math isnt rlly my stronghold

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didnt think id be back so fast

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p=k+m/m

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make m the subject of the formula

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thonk

timber pebble Dec 2, 2023, 6:05 PM

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restive river make m the subject of the formula

its easier to help ppl if you make a new channel for each question

restive river Dec 2, 2023, 6:06 PM

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oh srry abt that

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i just saw so many other channels thats why

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lemme make a new one

timber pebble Dec 2, 2023, 6:06 PM

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.close

devout snowBOT Dec 2, 2023, 6:06 PM

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Channel closed

Closed by @timber pebble

Use .reopen if this was a mistake.

#

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Remember:
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• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
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• Be polite and have a nice day!

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tropic marlin Dec 2, 2023, 6:11 PM

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I solved this absolute value problem using sets. Is there a more efficient way? No chance I'm solving every absolute value problem like this ☠️

devout snowBOT Dec 2, 2023, 6:11 PM

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tropic marlin I solved this absolute value problem using sets. Is there a more efficient way? ...

tropic marlin Dec 2, 2023, 6:11 PM

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vagrant steeple Dec 2, 2023, 6:14 PM

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assume x/x+1 = t

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Its the easiest i can think of

tropic marlin Dec 2, 2023, 6:14 PM

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hold on

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Same thing?

vagrant steeple Dec 2, 2023, 6:17 PM

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Solve for t then in the result of t put its value in x

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You'll avoid a bunch of calculation

tropic marlin Dec 2, 2023, 6:25 PM

#

This is what i got for the first condition, is this even correct?

#

Looks very different from the one without the sub

restive river Dec 2, 2023, 6:27 PM

#

there are no solutions for x then

#

empty set

tropic marlin Dec 2, 2023, 6:29 PM

#

The one i did without sub gets the correct answer

#

Comparison

#

Or did i mess the sub so badly?

devout snowBOT Dec 2, 2023, 6:47 PM

#

@tropic marlin Has your question been resolved?

fossil locust Dec 2, 2023, 7:03 PM

#

tropic marlin Comparison

nope, if ab > 0, that means that a, b are both positive

#

or both negative

#

they can't be both negative as |t| + 4 is always positive

#

so when solving $\left|\frac{x}{x+1} \right| > 2$ then

woven radishBOT Dec 2, 2023, 7:06 PM

#

south

fossil locust Dec 2, 2023, 7:06 PM

#

you should get $x \in \left(-2, -\frac{2}{3}\right)$

#

that matches up with the answer to the original inequality on Desmos

fossil locust Dec 2, 2023, 7:09 PM

#

woven radish **south**

asymptote is at x = -1, and y = x/(x + 1) it approaches +infinity from the left and -infinity from the right

#

so $\frac{x}{x+1} = 2 \implies x = -2$

woven radishBOT Dec 2, 2023, 7:09 PM

#

south

#

south

fossil locust Dec 2, 2023, 7:12 PM

#

and $\frac{x}{x + 1} = -2 \implies x = -\frac{2}{3}$

woven radishBOT Dec 2, 2023, 7:12 PM

#

south

devout snowBOT Dec 2, 2023, 7:22 PM

#

@tropic marlin Has your question been resolved?

tropic marlin Dec 2, 2023, 7:23 PM

#

So even the splution without the sub is wrong?

#

Where did i go wrong with the one without sub?

#

OH I PUT -2/3 AFTER -1

#

Thanks so much for the help

devout snowBOT Dec 2, 2023, 7:27 PM

#

Channel closed

Closed by @tropic marlin

Use .reopen if this was a mistake.

devout snowBOT Dec 2, 2023, 10:50 PM

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spark current Dec 2, 2023, 11:09 PM

#

devout snowBOT Dec 2, 2023, 11:09 PM

#

spark current

spark current Dec 2, 2023, 11:10 PM

#

Translation: Replace the different loads with an equivalent resultant and effective torque acting at point A

#

I don't know how to do this

devout snowBOT Dec 2, 2023, 11:25 PM

#

@spark current Has your question been resolved?

spark current Dec 2, 2023, 11:25 PM

#

<@&286206848099549185>

spark current Dec 2, 2023, 11:44 PM

#

<@&286206848099549185>

#

<@&286206848099549185>

plush pulsar Dec 2, 2023, 11:58 PM

#

Womp womp

spark current Dec 2, 2023, 11:58 PM

#

holy shit

spark current Dec 2, 2023, 11:58 PM

#

plush pulsar Womp womp

do u know how to do this

devout snowBOT Dec 3, 2023, 12:28 AM

#

@spark current Has your question been resolved?

spark current Dec 3, 2023, 12:28 AM

#

fucking no

#

<@&286206848099549185>

hoary elbow Dec 3, 2023, 12:51 AM

#

@spark current still in need?

devout snowBOT Dec 3, 2023, 1:29 AM

#

@spark current Has your question been resolved?

devout snowBOT Dec 3, 2023, 2:29 AM

#

Channel closed

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devout snowBOT Dec 3, 2023, 10:25 AM

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copper plinth Dec 3, 2023, 10:48 AM

#

Can somane help me with interval notation with the ∞ of an interval Exemple: [ -∞, 2]

devout snowBOT Dec 3, 2023, 10:48 AM

#

copper plinth Can somane help me with interval notation with the ∞ of an interval Exemple: [ -...

copper plinth Dec 3, 2023, 10:48 AM

#

On the internet the say other things

#

The green is ecual to a closed [ and the red is ]?

potent nebula Dec 3, 2023, 10:51 AM

#

I'm not sure what you mean by green and red

#

but

#

the brackets mean whether or not you include that endpoint

#

the interval [-5,9] is all the numbers between -5 and 9 inclusive

aka

-5<=x<=9

#

and (-5,9) is not inclusive

#

-5<x<9

copper plinth Dec 3, 2023, 10:53 AM

#

How do you write it with a [ with the symbol of ∞

amber oriole Dec 3, 2023, 10:55 AM

#

copper plinth Dec 3, 2023, 10:55 AM

#

I am dutch 😉

#

#

This is another picture

#

i learned it like that

amber oriole Dec 3, 2023, 10:56 AM

#

Yeah. I understand why you are confused

#

Just do it with the filled and non-filled circles

#

So filled means that the end-point is included and non-filled means it’s not

#

You Can also see a mathematical repræsentation to the left side of my picture

#

Representation

amber oriole Dec 3, 2023, 10:57 AM

#

amber oriole So filled means that the end-point is included and non-filled means it’s not

You understand what this means, right?

copper plinth Dec 3, 2023, 10:57 AM

#

Ow is see now but how is it with the ∞ and when is it filled then?

amber oriole Dec 3, 2023, 10:58 AM

#

amber oriole

See the two last

copper plinth Dec 3, 2023, 10:59 AM

#

So its open?

#

Can it be closed?

amber oriole Dec 3, 2023, 11:00 AM

#

No I dont think so, you can’t confine a point to infinity

copper plinth Dec 3, 2023, 11:00 AM

#

So its always open?

amber oriole Dec 3, 2023, 11:00 AM

#

Thats why we just write x greater-than-or-equal-to. a

copper plinth Dec 3, 2023, 11:03 AM

#

I get it now

amber oriole Dec 3, 2023, 11:04 AM

#

Good. You just need to work with it a little to understand it. No need to rush yourself, because you can't get everything at once 🙂

copper plinth Dec 3, 2023, 11:04 AM

#

thx bdw

devout snowBOT Dec 3, 2023, 11:19 AM

#

@copper plinth Has your question been resolved?

copper plinth Dec 3, 2023, 11:20 AM

#

yes

devout snowBOT Dec 3, 2023, 11:20 AM

#

Channel closed

Closed by @copper plinth

Use .reopen if this was a mistake.

devout snowBOT Dec 3, 2023, 1:00 PM

#

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muted stump Dec 3, 2023, 1:01 PM

#

Let's say I am given a 3x3 matrix, A. I have to find the diagolised matrix and the permutation matrix such that A = PDP^-1. Now I can easily find the eigenvalues and eigenvectors, and the diagnolised matrix, and I also know how to find the permutation matrix. My problem is, in which order do I write the eigenvectors such that it will be a permutation matrix. Lets say I have eigenvalues 1, -1, 2 and I find the eigenvectors now in which order do I write it, sorry if my question doesn't make sense

devout snowBOT Dec 3, 2023, 1:01 PM

#

muted stump Let's say I am given a 3x3 matrix, A. I have to find the diagolised matrix and t...

stone stump Dec 3, 2023, 1:02 PM

#

are you sure that permutation matrix is the correct word you are looking for?

#

not just invertible matrix P?

muted stump Dec 3, 2023, 1:02 PM

#

Uhh I don't think so

stone stump Dec 3, 2023, 1:02 PM

#

that said, the order of them doesnt matter

muted stump Dec 3, 2023, 1:02 PM

#

Really?

stone stump Dec 3, 2023, 1:02 PM

#

the order in which you put the eigenvectors is the same order as the eigenvalues in the diagonal

muted stump Dec 3, 2023, 1:03 PM

#

So it doesn't matter which order I follow

stone stump Dec 3, 2023, 1:03 PM

#

permutation matrices only have a single 1 in each row or column

muted stump Dec 3, 2023, 1:03 PM

#

It will still spit out the same shit?

muted stump Dec 3, 2023, 1:03 PM

#

stone stump permutation matrices only have a single 1 in each row or column

Idk if it's a permutation matrix but it's mostly determined by P

muted stump Dec 3, 2023, 1:03 PM

#

muted stump So it doesn't matter which order I follow

?

stone stump Dec 3, 2023, 1:04 PM

#

I said that three messages ago

muted stump Dec 3, 2023, 1:04 PM

#

Ok

#

That's all I needed to know

#

Thank you 😊

devout snowBOT Dec 3, 2023, 1:19 PM

#

@muted stump Has your question been resolved?

#

Channel closed

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lofty monolith Dec 3, 2023, 1:38 PM

#

I’ve shown that this has a critical point at (0,0,0) and now I’m trying to see if its a saddle/min/max point

devout snowBOT Dec 3, 2023, 1:38 PM

#

lofty monolith I’ve shown that this has a critical point at (0,0,0) and now I’m trying to see i...

lofty monolith Dec 3, 2023, 1:39 PM

#

Hessian at that point has negative diagonals and determinant = 0 so i concluded negative semi definite but

#

Not really sure where to go from there

hasty saffron Dec 3, 2023, 1:39 PM

#

You can just do the double derivative test to see for maxima etc right?

wise plank Dec 3, 2023, 1:40 PM

#

hasty saffron You can just do the double derivative test to see for maxima etc right?

they did do that

#

using the hessian

hasty saffron Dec 3, 2023, 1:40 PM

#

Oh

lofty monolith Dec 3, 2023, 1:40 PM

#

It seems like i need to rearrange the original function? Like complete the square?

devout snowBOT Dec 3, 2023, 1:55 PM

#

@lofty monolith Has your question been resolved?

lofty monolith Dec 3, 2023, 1:57 PM

#

Changed the form into x^4 + y^4 - (x+y)^2 and subbed in y=x

#

To get 2x^4-4x^2 which is maximised at x=0

#

Idk if that’s right or if i am on the right track

#

<@&286206848099549185>

lofty monolith Dec 3, 2023, 1:58 PM

#

lofty monolith Idk if that’s right or if i am on the right track

I think its most likely a saddle point but dont really understand how to show it

wise plank Dec 3, 2023, 2:05 PM

#

lofty monolith Changed the form into x^4 + y^4 - (x+y)^2 and subbed in y=x

hmm maybe also try y = -x? you'll see it's a minimum there

lofty monolith Dec 3, 2023, 2:13 PM

#

Is that enough to show its saddle

wise plank Dec 3, 2023, 2:14 PM

#

I think so? I’m not completely certain

devout snowBOT Dec 3, 2023, 2:43 PM

#

@lofty monolith Has your question been resolved?

devout snowBOT Dec 3, 2023, 3:48 PM

#

@lofty monolith Has your question been resolved?

spark current Dec 3, 2023, 4:54 PM

#

hoary elbow <@1149142853512069162> still in need?

Yes

devout snowBOT Dec 3, 2023, 5:49 PM

#

@lofty monolith Has your question been resolved?

lofty monolith Dec 3, 2023, 6:00 PM

#

<@&286206848099549185>

hoary elbow Dec 3, 2023, 6:30 PM

#

lofty monolith <@&286206848099549185>

Hey

#

Can u quickly sum up what you tried to do?

hoary elbow Dec 3, 2023, 6:36 PM

#

spark current Yes

Open another channel, ill get you

#

Just ping me you do

lofty monolith Dec 3, 2023, 7:25 PM

#

Used hessian, diagonals and determinant of hessian = 0 to conclude negative semi definite

lofty monolith Dec 3, 2023, 7:25 PM

#

lofty monolith To get 2x^4-4x^2 which is maximised at x=0

Then did this

worldly field Dec 3, 2023, 9:51 PM

#

Hey, Hessian = 0 means that the second derivative test is inconclusive. You have checked that the function is maximized at (0,0) along the line y=x. You will see that it is minimized at (0,0) along the line y=-x, so it's a saddle point.

lofty monolith Dec 3, 2023, 10:07 PM

#

Thank you so much

#

.close

devout snowBOT Dec 3, 2023, 10:07 PM

#

Channel closed

Closed by @lofty monolith

Use .reopen if this was a mistake.

devout snowBOT Dec 3, 2023, 10:32 PM

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Available help channel!

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south rampart Dec 3, 2023, 10:34 PM

#

I am stuck and don’t know what to do

devout snowBOT Dec 3, 2023, 10:34 PM

#

south rampart I am stuck and don’t know what to do

devout snowBOT Dec 3, 2023, 10:49 PM

#

@south rampart Has your question been resolved?

south rampart Dec 3, 2023, 11:03 PM

#

<@&286206848099549185>

frail moss Dec 3, 2023, 11:23 PM

#

https://blog.prepscholar.com/vertex-form-parabola

Vertex Form: What Is It? How Do You Calculate It?

Learn about parabola vertex form and how to convert quadratic equations from standard form to vertex form with this article.

south rampart Dec 3, 2023, 11:24 PM

#

y=-3(x+2)4 ?

frail moss Dec 3, 2023, 11:27 PM

#

where is your ^2 and also missing +, right. remember this is a polynomial of max power 2

#

your intui about it being a -x^2 is good, it's cc down

south rampart Dec 3, 2023, 11:28 PM

#

y=-3(x+2)^2+4?

devout snowBOT Dec 3, 2023, 11:59 PM

#

@south rampart Has your question been resolved?

devout snowBOT Dec 4, 2023, 1:00 AM

#

@south rampart Has your question been resolved?

south rampart Dec 4, 2023, 1:40 AM

#

.close

devout snowBOT Dec 4, 2023, 1:40 AM

#

Channel closed

Closed by @south rampart

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vast violet Dec 4, 2023, 1:52 AM

#

#

]

devout snowBOT Dec 4, 2023, 1:52 AM

#

vast violet

vast violet Dec 4, 2023, 1:52 AM

#

would this one be right

restive river Dec 4, 2023, 1:53 AM

#

vast violet would this one be right

Not quite

#

Remember sine = Opposite/Hypotenuse

vast violet Dec 4, 2023, 1:54 AM

#

oh

restive river Dec 4, 2023, 1:54 AM

#

First with opposite, what side = 30?

vast violet Dec 4, 2023, 1:54 AM

#

idk why i was thinjing sah cah toa

restive river Dec 4, 2023, 1:54 AM

#

Hey I'm kind of stupid

restive river Dec 4, 2023, 1:54 AM

#

restive river First with opposite, what side = 30?

30 is the opposite lmao

vast violet Dec 4, 2023, 1:55 AM

#

o

restive river Dec 4, 2023, 1:55 AM

#

vast violet idk why i was thinjing sah cah toa

Wouldn't make since cause sah and cah would be the same lol

#

SOH-CAH-TOA

turbid zealot Dec 4, 2023, 1:55 AM

#

use pythagorean theorem to find hypotenuse then deduce the values

vast violet Dec 4, 2023, 1:55 AM

#

ohhh

#

SOH

turbid zealot Dec 4, 2023, 1:55 AM

#

of the ratios

vast violet Dec 4, 2023, 1:55 AM

#

not sah

#

lOl

restive river Dec 4, 2023, 1:56 AM

#

So you see the opposite is 30, so kjnow you have 30/Hypotenuse

#

Then yeah use the pythagorean theorem to find the hypotenuse like they said

vast violet Dec 4, 2023, 1:56 AM

#

waitttttt

#

so what is 16

restive river Dec 4, 2023, 1:58 AM

#

vast violet so what is 16

Alright, I'll go over them all rq

#

Opposite is the side opposite from your angle, easy enough, if you need the visualization draw a line out from your angle and it shoudl touch the opposite side

#

Easiest one to spot is the hypotenuse

#

It is
A. The longest side
B. Opposite to the 90 degree angle

#

Then you have the adjacent

#

The other line that forms your angle besides the hypotenuse, the one adjacent to it

#

So on this triangle

#

GOing straight out from your angle, we got 30, your opposite

#

The hypotenuse is the long one opposite from the right angle, which we do not know yet

#

And finally you have the side adjacent to your angle, 16

vast violet Dec 4, 2023, 2:02 AM

#

Oh

devout snowBOT Dec 4, 2023, 2:17 AM

#

@vast violet Has your question been resolved?

devout snowBOT Dec 4, 2023, 2:32 AM

#

Channel closed

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#

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• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

thorny lintel Dec 4, 2023, 2:34 AM

#

can someone help me with this question. I don't know how to start it

devout snowBOT Dec 4, 2023, 2:34 AM

#

thorny lintel can someone help me with this question. I don't know how to start it

#

@thorny lintel Has your question been resolved?

thorny lintel Dec 4, 2023, 2:50 AM

#

<@&286206848099549185>

near stone Dec 4, 2023, 3:05 AM

#

thorny lintel can someone help me with this question. I don't know how to start it

!status

devout snowBOT Dec 4, 2023, 3:05 AM

#

thorny lintel can someone help me with this question. I don't know how to start it

What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

thorny lintel Dec 4, 2023, 3:05 AM

#

devout snow ``` What step are you on? 1. I don't know where to begin. 2. I have begun but go...

1

forest rapids Dec 4, 2023, 3:06 AM

#

So it is regular. Know what that means?

thorny lintel Dec 4, 2023, 3:06 AM

#

eh

#

regular?

forest rapids Dec 4, 2023, 3:06 AM

#

Yep

#

Given a regular ...

thorny lintel Dec 4, 2023, 3:06 AM

#

was I supposed to know this term in grade 11 😭😭😭

forest rapids Dec 4, 2023, 3:07 AM

#

It's simple. It just means it is exactly as you'd want it to be.
Everything is equal that should be equal.

#

All the sides are the same length. All the like angles are the same.

#

How many side does it have?

thorny lintel Dec 4, 2023, 3:08 AM

#

6

forest rapids Dec 4, 2023, 3:08 AM

#

Really?

#

I must have mis-counted.

thorny lintel Dec 4, 2023, 3:08 AM

#

oh 5

#

im tired

#

and blind

forest rapids Dec 4, 2023, 3:09 AM

#

So everything is the same. If we can work out one thing we can use symmetry to work out all the rest.

#

Try mentally dividing it up into 10 triangles, all the same. Then if we sus out one we have them all

#

They have drawn one line for you.

thorny lintel Dec 4, 2023, 3:12 AM

#

do I need to use SOH CAH TOA rn or no?

#

sorry about that my wifi was being wonk

#

ok I drew it

#

what now?

forest rapids Dec 4, 2023, 3:13 AM

#

Yes, but not just yet.

#

Where are the lines? describe it

thorny lintel Dec 4, 2023, 3:14 AM

#

um...

#

the height?

forest rapids Dec 4, 2023, 3:14 AM

#

Do you have lines to the middle of each side and to the points of the pentagon?

thorny lintel Dec 4, 2023, 3:15 AM

#

ye

forest rapids Dec 4, 2023, 3:15 AM

#

So, they gave us one side of the triangle, if we can work out the angle in the middle we can use that TOA thing to work out the outside edge.

#

Can we work out the angle in the middle?

thorny lintel Dec 4, 2023, 3:16 AM

#

i think?

forest rapids Dec 4, 2023, 3:16 AM

#

.... suspense....

#

Do all the triangles share apoint in the middle?

thorny lintel Dec 4, 2023, 3:17 AM

#

yess

forest rapids Dec 4, 2023, 3:17 AM

#

So all the way round is 360 degrees

#

And there are ten the same

thorny lintel Dec 4, 2023, 3:17 AM

#

forest rapids Dec 4, 2023, 3:17 AM

#

Yep - looking good.

#

so 10 angles, all the same, make up 360 degrees.

thorny lintel Dec 4, 2023, 3:18 AM

#

yuh

forest rapids Dec 4, 2023, 3:18 AM

#

... each one is ....?

thorny lintel Dec 4, 2023, 3:18 AM

#

90 degrees

forest rapids Dec 4, 2023, 3:18 AM

#

10 * 90 does not equal 360

#

😦

thorny lintel Dec 4, 2023, 3:19 AM

#

😭

forest rapids Dec 4, 2023, 3:19 AM

#

Divide by 10 is not difficult when one is not tired.

#

360/10 = ?

thorny lintel Dec 4, 2023, 3:19 AM

#

divide what by 10? 360?

#

oh

#

36

forest rapids Dec 4, 2023, 3:19 AM

#

yep

#

So now you have an angle 36 degrees and an adjacent edge 4.5 andTOA to work out the "O" edge

thorny lintel Dec 4, 2023, 3:20 AM

#

wait which angle is the one that's 36 degrees?

forest rapids Dec 4, 2023, 3:21 AM

#

all those ones in the middle.

thorny lintel Dec 4, 2023, 3:21 AM

#

oh ok

forest rapids Dec 4, 2023, 3:21 AM

#

ten of them get all the way round.

#

so 10 * angle = 360 degrees

thorny lintel Dec 4, 2023, 3:21 AM

#

ok

#

now do we use SOH CAH TOA

forest rapids Dec 4, 2023, 3:21 AM

#

And adjacent edge is 4.5cm - and yes TOA

#

What does TOA look like again?

thorny lintel Dec 4, 2023, 3:22 AM

#

Tan theta: op/adj

forest rapids Dec 4, 2023, 3:22 AM

#

Sweet

thorny lintel Dec 4, 2023, 3:23 AM

#

idk how to do the theta symbol

forest rapids Dec 4, 2023, 3:23 AM

#

$\theta$

woven radishBOT Dec 4, 2023, 3:23 AM

#

G. Spark

thorny lintel Dec 4, 2023, 3:23 AM

#

oh

#

idk how to use these commands to complicated

forest rapids Dec 4, 2023, 3:23 AM

#

Me neither.

#

Don't need them.

#

so $tan(\theta) = Opposite/adjacent$

woven radishBOT Dec 4, 2023, 3:24 AM

#

G. Spark

thorny lintel Dec 4, 2023, 3:24 AM

#

ok

#

wrote that down

#

what goes into theta?

#

the 90 or 36?

forest rapids Dec 4, 2023, 3:24 AM

#

you have worked out the angle

#

Which edge do you want? The angle opposite that.
Would suggest the first question is perimeter, so work out the outside edge first.

#

$tan(\theta) = Opp/Adj$

woven radishBOT Dec 4, 2023, 3:26 AM

#

G. Spark

forest rapids Dec 4, 2023, 3:27 AM

#

$tan(36) = Opp/4.5$

thorny lintel Dec 4, 2023, 3:27 AM

#

is 0.16 right?

#

feels too small

woven radishBOT Dec 4, 2023, 3:28 AM

#

G. Spark

forest rapids Dec 4, 2023, 3:29 AM

#

What did you do with the 4.5?

thorny lintel Dec 4, 2023, 3:30 AM

#

i did

#

$opp = tan36/4.5$

woven radishBOT Dec 4, 2023, 3:30 AM

#

Suri

forest rapids Dec 4, 2023, 3:30 AM

#

$tan(36) = Opp/4.5$

woven radishBOT Dec 4, 2023, 3:30 AM

#

G. Spark

thorny lintel Dec 4, 2023, 3:30 AM

#

i think i did it the wrong way

forest rapids Dec 4, 2023, 3:31 AM

#

So how do we getthat 4.5 to go to the other side?

#

multiple both side by 4.5

#

The right-hand one cancels and the left -side gets a 4.5

thorny lintel Dec 4, 2023, 3:31 AM

#

i got 2.6

forest rapids Dec 4, 2023, 3:32 AM

#

$4.5*tan(36)$ = ?
Is your calculator working in degrees?

thorny lintel Dec 4, 2023, 3:32 AM

#

... I think I cleared it earlier hold on-

#

3.6

woven radishBOT Dec 4, 2023, 3:33 AM

#

G. Spark

thorny lintel Dec 4, 2023, 3:34 AM

#

ok now I got 3.6

#

so do I just multiply by 5 to get the perimeter?

forest rapids Dec 4, 2023, 3:35 AM

#

I don't get 3.6
But this gives you the opposite side to the angle. Check which part of the pentagon that is.

thorny lintel Dec 4, 2023, 3:35 AM

#

oh sorry 3.3

#

😭

#

my eyes ain't working

forest rapids Dec 4, 2023, 3:36 AM

#

Great - on a roll

#

So pick the triangle we are using. Find the "opposite side to the angle".

#

And work out how many of them make up the perimeter.

thorny lintel Dec 4, 2023, 3:36 AM

#

can't I just find perimeter for the pentagon now?

forest rapids Dec 4, 2023, 3:37 AM

#

Yes

thorny lintel Dec 4, 2023, 3:37 AM

#

I could just do 3.3 x 5

forest rapids Dec 4, 2023, 3:37 AM

#

not 5

#

check which side length we worked out again.

thorny lintel Dec 4, 2023, 3:37 AM

#

it's a pentagon

#

it has 5 sides

forest rapids Dec 4, 2023, 3:37 AM

#

yep

#

And what did we work out?

#

How many triangles were there?

thorny lintel Dec 4, 2023, 3:37 AM

#

10

forest rapids Dec 4, 2023, 3:37 AM

#

yep

thorny lintel Dec 4, 2023, 3:38 AM

#

forest rapids And what did we work out?

i got 16.5

forest rapids Dec 4, 2023, 3:38 AM

#

So that's 10 of them?

#

Looks alittle small.

thorny lintel Dec 4, 2023, 3:38 AM

#

oh no thats the number I got from doing 3.3 x 5

forest rapids Dec 4, 2023, 3:39 AM

#

Look at the triangle - we worked out the length of one side of one triangle. There are ten of them round the pentagon.

thorny lintel Dec 4, 2023, 3:39 AM

#

you want me to do 3.3 x 10 or something?

forest rapids Dec 4, 2023, 3:39 AM

#

Ideally, you'd understand what side we just calculated & see what is right.

thorny lintel Dec 4, 2023, 3:39 AM

#

yea the opposite

forest rapids Dec 4, 2023, 3:40 AM

#

Which is half a pentgon side.

#

One triangle only.

#

ten triangles to get all the way round.

thorny lintel Dec 4, 2023, 3:41 AM

#

https://tenor.com/view/confused-confusion-cat-white-cat-im-confusion-gif-16828447

Tenor

forest rapids Dec 4, 2023, 3:42 AM

#

Should I send an image?

thorny lintel Dec 4, 2023, 3:44 AM

#

sure

forest rapids Dec 4, 2023, 3:46 AM

#

Is this what we are looking at?

thorny lintel Dec 4, 2023, 3:46 AM

#

yea

forest rapids Dec 4, 2023, 3:47 AM

#

So there are ten bits, all length about 3.2cm.

thorny lintel Dec 4, 2023, 3:48 AM

#

yuh

forest rapids Dec 4, 2023, 3:48 AM

#

Is that good?
Is the next part, the area?

thorny lintel Dec 4, 2023, 3:48 AM

#

yea

forest rapids Dec 4, 2023, 3:49 AM

#

Any idea of the area of a triangle? Or have you got that one sorted?

thorny lintel Dec 4, 2023, 3:50 AM

#

one sec-

#

area I got 7.4 cm^2

#

do i multiply by 10 again?

forest rapids Dec 4, 2023, 3:52 AM

#

Maybe best to not round until the end. But looks right.

thorny lintel Dec 4, 2023, 3:52 AM

#

yea

forest rapids Dec 4, 2023, 3:52 AM

#

HOw many triangle areas are there in the whole?

#

Multiply by that number.

thorny lintel Dec 4, 2023, 3:53 AM

#

yea

#

i did it and rounded it

#

i got

#

73.6

forest rapids Dec 4, 2023, 3:53 AM

#

Looks good.

#

Solved. Remember to tell the bot to close the chat.

thorny lintel Dec 4, 2023, 3:54 AM

#

ok thank you for your help

#

.close

devout snowBOT Dec 4, 2023, 3:54 AM

#

Channel closed

Closed by @thorny lintel

Use .reopen if this was a mistake.

#

Available help channel!

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• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
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viscid plover Dec 4, 2023, 3:58 AM

#

devout snowBOT Dec 4, 2023, 3:58 AM

#

viscid plover

viscid plover Dec 4, 2023, 3:58 AM

#

#

I feel like I’m doing something wrong

#

can someone confirm?

dense jay Dec 4, 2023, 4:02 AM

#

you havent done anything wrong
your substitution just wasnt that helpful

viscid plover Dec 4, 2023, 4:04 AM

#

do I need to use another sub?

dense jay Dec 4, 2023, 4:04 AM

#

hmm

#

actually

#

it could work

viscid plover Dec 4, 2023, 4:04 AM

#

u=e^x makes it look somehwat like partial frac

dense jay Dec 4, 2023, 4:05 AM

#

yeah thats what i was thinking

#

that would probably work out

#

give it a go

viscid plover Dec 4, 2023, 4:05 AM

#

alright

devout snowBOT Dec 4, 2023, 4:20 AM

#

@viscid plover Has your question been resolved?

viscid plover Dec 4, 2023, 4:28 AM

#

.close

devout snowBOT Dec 4, 2023, 4:28 AM

#

Channel closed

Closed by @viscid plover

Use .reopen if this was a mistake.

devout snowBOT Dec 4, 2023, 5:48 AM

#

Available help channel!

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Remember:
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• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
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• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

#

woven radishBOT Dec 4, 2023, 6:02 AM

#

odokawa
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

#

odokawa
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

devout snowBOT Dec 4, 2023, 6:03 AM

#

Channel closed

Closed by @raw python

Use .reopen if this was a mistake.

devout snowBOT Dec 4, 2023, 1:14 PM

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
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• Be polite and have a nice day!

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lost echo Dec 4, 2023, 1:26 PM

#

.reopen

#

.reopen

lime zinc Dec 4, 2023, 1:44 PM

#

hello im trying to solve a integral for 1/(1+2x^2)dx from my point of view i need to u-substitute 2x but i get stuck when trying to solve this. would appreciate any help!

devout snowBOT Dec 4, 2023, 1:44 PM

#

lime zinc hello im trying to solve a integral for 1/(1+2x^2)dx from my point of view i nee...

valid iron Dec 4, 2023, 1:45 PM

#

is it (2x)^2

lime zinc Dec 4, 2023, 1:47 PM

#

eager lodge Dec 4, 2023, 1:48 PM

#

I think you let u = sqrt(2)x

warm lantern Dec 4, 2023, 1:48 PM

#

^

lime zinc Dec 4, 2023, 1:48 PM

#

how sqrt(2)x im confused

eager lodge Dec 4, 2023, 1:51 PM

#

we want to turn it to 1/(1+u^2)

#

so 2x^2=u^2

#

u=sqrt(2)x

wheat pawn Dec 4, 2023, 1:52 PM

#

$u=\sqrt{2} x$

woven radishBOT Dec 4, 2023, 1:53 PM

#

LordFelix

wheat pawn Dec 4, 2023, 1:53 PM

#

there you go

lime zinc Dec 4, 2023, 1:53 PM

#

oh im so stupid, well i got it now. thanks for the help all of you!

#

i think i can solve it from here

devout snowBOT Dec 4, 2023, 2:09 PM

#

@lime zinc Has your question been resolved?

#

Channel closed

Closed by @lime zinc

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#

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• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

restive river Dec 4, 2023, 2:32 PM

#

i know it is not ideal, but i took the positive x axis along the incline

devout snowBOT Dec 4, 2023, 2:32 PM

#

restive river i know it is not ideal, but i took the positive x axis along the incline

restive river Dec 4, 2023, 2:32 PM

#

would [
N = w_y + T_y \
T_x = w_x
]
be correct?

woven radishBOT Dec 4, 2023, 2:32 PM

#

robust dust Dec 4, 2023, 2:33 PM

#

I'm not familiar with your notation

#

w_y the y-component of the weight force and T tension I assume?

restive river Dec 4, 2023, 2:34 PM

#

yes

robust dust Dec 4, 2023, 2:34 PM

#

and when you say you took the positive x-axis along the incline

restive river Dec 4, 2023, 2:34 PM

#

robust dust Dec 4, 2023, 2:34 PM

#

you mean your frame of reference is like this

restive river Dec 4, 2023, 2:34 PM

#

messy visual I guess

robust dust Dec 4, 2023, 2:35 PM

#

right yeah

#

yeah, those look right then

restive river Dec 4, 2023, 2:35 PM

#

the positive x axis like the opposite of what you have but it doesn't matter

#

anyways like

#

wait

#

$\degrees$

woven radishBOT Dec 4, 2023, 2:36 PM

#

restive river Dec 4, 2023, 2:36 PM

#

ok

robust dust Dec 4, 2023, 2:36 PM

#

cries in $^\circ$

woven radishBOT Dec 4, 2023, 2:36 PM

#

Desync

restive river Dec 4, 2023, 2:36 PM

#

anyways so [
N = w\m\cos{35\degrees} + T\m\sin{35\degrees}
]
if my trig wasnt wrong?

woven radishBOT Dec 4, 2023, 2:37 PM

#

robust dust Dec 4, 2023, 2:37 PM

#

yes

#

I'm used to just using gravity as negative y 😭

#

having to do coordinate conversions

restive river Dec 4, 2023, 2:38 PM

#

😭

#

i struggle with this too its annoying 😔

#

but anyways, we want to find N but we dont know T and w

#

so hmmge

robust dust Dec 4, 2023, 2:38 PM

#

I usually find that setting your x-axis parallel to the plane is only helpful if you have tension forces along the plane

#

but there aren't too many forces in this problem so I guess it doesn't really matter either way

restive river Dec 4, 2023, 2:39 PM

#

i just did it here because i want to practice more verstaile cases rather than sticking to one thing i guess

#

but i totally get you yeah

robust dust Dec 4, 2023, 2:39 PM

#

yeah, sure

restive river Dec 4, 2023, 2:39 PM

#

that choice would have been much better

robust dust Dec 4, 2023, 2:39 PM

#

you have w because you have the mass of the ball

#

so you can figure out T from that as well

restive river Dec 4, 2023, 2:39 PM

#

do i?

#

it just says m

robust dust Dec 4, 2023, 2:40 PM

#

yeah, give it in terms of m

restive river Dec 4, 2023, 2:40 PM

#

oh ic ok

#

this makes like easier

#

[
N = w\m\cos\theta + T\m\sin\theta \
T\m\cos\theta = w\m\sin\theta \Implies T = w\m\tan\theta
]

woven radishBOT Dec 4, 2023, 2:41 PM

#

restive river Dec 4, 2023, 2:41 PM

#

(writing theta instead of 35 for simplicity for now)

#

so

#

[
N = mg\p{\m\cos\theta + \m\sin\theta\m \tan\theta}
]

woven radishBOT Dec 4, 2023, 2:42 PM

#

restive river Dec 4, 2023, 2:42 PM

#

hopefully?

robust dust Dec 4, 2023, 2:42 PM

#

looks good

restive river Dec 4, 2023, 2:43 PM

#

,w 9.81(cos(35180/pi) + sin(35180/pi)tan(35*180/pi)

woven radishBOT Dec 4, 2023, 2:43 PM

#

Results provided by WolframAlpha

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robust dust Dec 4, 2023, 2:43 PM

#

hmm

restive river Dec 4, 2023, 2:44 PM

#

hmmge the answer is given as 1.22mg

#

okay thats fine

#

,w 18.6/9.81

woven radishBOT Dec 4, 2023, 2:44 PM

#

Results provided by WolframAlpha

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robust dust Dec 4, 2023, 2:44 PM

#

that's a bit off

restive river Dec 4, 2023, 2:44 PM

#

yeah

#

something is wrong

robust dust Dec 4, 2023, 2:44 PM

#

woven radish

how did you get this?

restive river Dec 4, 2023, 2:44 PM

#

thonk2

restive river Dec 4, 2023, 2:45 PM

#

woven radish

i subbed in T = wtan(theta) in the first equation

robust dust Dec 4, 2023, 2:45 PM

#

bracketing perhaps?

restive river Dec 4, 2023, 2:45 PM

#

oh wdym

robust dust Dec 4, 2023, 2:46 PM

#

was checking the wolfram input

#

see if there was some bracketing stuff going on

restive river Dec 4, 2023, 2:47 PM

#

seems fine

#

thinkball

#

here is what they did btw

robust dust Dec 4, 2023, 2:50 PM

#

ah wait, weight and tension are perpendicular

#

~~so Tx = wx doesn't work I think~~ it's relative to the plane not to gravity, ignore that

restive river Dec 4, 2023, 2:50 PM

#

wait i just did it on my physical calculator

#

cos(theta) + tan(theta)sin(theta) does return 1.22

#

why is WA drugged out then

#

anyways for c)

#

[
T =w\m\tan\theta
]
should do the trick me think

woven radishBOT Dec 4, 2023, 2:52 PM

#

robust dust Dec 4, 2023, 2:53 PM

#

I closed my diagram already 😭

#

did you take the normal into account?

restive river Dec 4, 2023, 2:53 PM

#

wait for what-

robust dust Dec 4, 2023, 2:54 PM

#

the normal is pulling away from the string, and it's not in motion so tension will be some component of weight and some component of normal, won't it?

restive river Dec 4, 2023, 2:54 PM

#

oh yeah but my choice of coordinates makes us able to completley iggnore the normal for this me think

#

because like the x axis is the incline

#

so we can only consider T_x = w_x

robust dust Dec 4, 2023, 2:55 PM

#

ah right, sure

restive river Dec 4, 2023, 2:55 PM

#

yeah its correct

#

woohoo

#

okay great

#

thanks a lot

#

but i just have like

#

a conceptual question if u dont mind

robust dust Dec 4, 2023, 2:55 PM

#

sure

#

but last time I did mechanics was in my A-levels years ago

restive river Dec 4, 2023, 2:56 PM

#

its okay. I am sure this is like highschool level for most i guess

#

um actually i guess its okay dw about it i think i answered my q

#

LOL

#

thanks a bunch

#

.close

devout snowBOT Dec 4, 2023, 2:56 PM

#

Channel closed

Closed by @worthy tiger

Use .reopen if this was a mistake.

devout snowBOT Dec 4, 2023, 3:47 PM

#

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
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• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

oblique rover Dec 4, 2023, 4:01 PM

#

Let $V = \mathbb{R}^{2 \times 2}$ and consider the basis
[
B = \begin{bmatrix}
1 & 0 \
0 & 0
\end{bmatrix},
\begin{bmatrix}
0 & 1 \
0 & 0
\end{bmatrix},
\begin{bmatrix}
0 & 0 \
1 & 0
\end{bmatrix},
\begin{bmatrix}
0 & 0 \
0 & 1
\end{bmatrix}.
]

For the matrix $A =
\begin{bmatrix}
1 & 2 \
-1 & -1
\end{bmatrix}$, define the mapping $f : V \to V$ by $f(X) = AX + XA$. Find the matrix $[f]_B^B$ and determine the kernel and image of the mapping $f$.

devout snowBOT Dec 4, 2023, 4:01 PM

#

oblique rover Let $V = \mathbb{R}^{2 \times 2}$ and consider the basis \[ B = \begin{bmatrix} ...

woven radishBOT Dec 4, 2023, 4:01 PM

#

Slowaq

oblique rover Dec 4, 2023, 4:02 PM

#

why to find matrix $[f]_B^B$ i have to do this?

woven radishBOT Dec 4, 2023, 4:02 PM

#

Slowaq

oblique rover Dec 4, 2023, 4:03 PM

#

devout snowBOT Dec 4, 2023, 4:18 PM

#

@oblique rover Has your question been resolved?

sullen island Dec 4, 2023, 4:26 PM

#

what do you mean why ?

#

what's your alternative way ?

oblique rover Dec 4, 2023, 4:27 PM

#

i dont have any altenative way i just dont understand how to get $[f]_B^B$

woven radishBOT Dec 4, 2023, 4:27 PM

#

Slowaq

sullen island Dec 4, 2023, 4:28 PM

#

well what does a transformation matrix mean ?

#

how do you define it ? what are the entries ?

#

you should have a definition of what a transformation matrix is somewhere

#

if you don't get what's going on in this definition we can talk about it

oblique rover Dec 4, 2023, 4:35 PM

#

well if we have two vector spaces $W,V$ over field $\mathbb{F}$ then $f:V \rightarrow W$ is linear transformation, $B=(v_1,...,v_n)$ is basis of $V$, $C=(w_1,...,w_n)$ is basis of $W$. Then this is representation of linear transformation $f$ with respect to basis $B,C$

woven radishBOT Dec 4, 2023, 4:35 PM

#

Slowaq

oblique rover Dec 4, 2023, 4:35 PM

#

#

could you please explain this formula a little bit more?

sullen island Dec 4, 2023, 4:37 PM

#

ok

#

so each column of that matrix is the image of a basis vector in B written in basis C (that's what [f(v)]^C means)

#

and what I mean by written in basis $C$ is that $[v]^C$ tells you how much $w_1, w_2, \cdots, w_n$ you have in the vector $v$

woven radishBOT Dec 4, 2023, 4:39 PM

#

aPlatypus

sullen island Dec 4, 2023, 4:40 PM

#

i.e. to be very explicit, if you have $v=k_1w_1 + k_2w_2 + \cdots + k_nw_n$ then $$[v]^C = \begin{bmatrix} k_1 \ k_2 \ \vdots \ k_n \end{bmatrix}$$

woven radishBOT Dec 4, 2023, 4:41 PM

#

aPlatypus

sullen island Dec 4, 2023, 4:41 PM

#

why tf is my k_1 not aligned ffs

oblique rover Dec 4, 2023, 4:41 PM

#

sullen island why tf is my k_1 not aligned ffs

xdd doesnt matter

sullen island Dec 4, 2023, 4:42 PM

#

and the k1, ..., kn are unique cause C is a basis (fortunately)

#

it's not like you can get two representations for the same vector given a basis

#

right

#

so what they're doing in your solution is strictly applying the definition you gave

#

looking at the image of each basis vector of B

#

getting the coefficients of these images in basis B (that's easy)

#

and writing that in the expected format of a transformation matrix

#

@oblique rover

oblique rover Dec 4, 2023, 4:54 PM

#

sullen island so each column of that matrix is the image of a basis vector in B *written in ba...

and what do you mean by image of a basis vector in B? xd

oblique rover Dec 4, 2023, 4:54 PM

#

sullen island <@461113398915104769>

yes yes im here i am trying to understand it xd

oblique rover Dec 4, 2023, 4:57 PM

#

oblique rover and what do you mean by image of a basis vector in B? xd

cuz i think i get it only this makes me unsure

sullen island Dec 4, 2023, 5:03 PM

#

oblique rover and what do you mean by image of a basis vector in B? xd

f(v_i) with v_i is a vector in basis B

#

I'm just using fancy/overloaded words

#

@oblique rover

oblique rover Dec 4, 2023, 5:10 PM

#

ah alright i think i get it now

#

buuut xd

oblique rover Dec 4, 2023, 5:12 PM

#

sullen island f(v_i) with v_i is a vector in basis B

last questuon what do you mean by with?

sullen island Dec 4, 2023, 5:14 PM

#

explaining what v_i is in f(v_i)

oblique rover Dec 4, 2023, 5:16 PM

#

ahh alright i understand the whole thing now

#

thank you very much my man you are a saviour

oblique rover Dec 4, 2023, 5:38 PM

#

but how do i find this

#

when

#

basis are

#

i want to find how much -1,0,1 in in $\begin{pmatrix}1&0&0\0&1&0\0&0&1 \end{pmatrix}$?

woven radishBOT Dec 4, 2023, 5:42 PM

#

Slowaq

oblique rover Dec 4, 2023, 5:42 PM

#

@sullen island

#

$P^3(x,\mathbb{R})$ is polynomial with maximum degree being 3 if i am not mistaken

woven radishBOT Dec 4, 2023, 5:47 PM

#

Slowaq

devout snowBOT Dec 4, 2023, 6:15 PM

#

@oblique rover Has your question been resolved?

sullen island Dec 4, 2023, 6:42 PM

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f(1) means, take the polynomial p(x)=1, and compute (p(-1), p(0), p(1)), that's the result

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@oblique rover

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f(1) = (1, 1, 1), cause p(x) = 1 always evaluates to 1 no matter the input

oblique rover Dec 4, 2023, 7:18 PM

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ah alright got it thx

devout snowBOT Dec 4, 2023, 8:18 PM

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@oblique rover Has your question been resolved?

devout snowBOT Dec 4, 2023, 9:18 PM

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Channel closed

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fading leaf Dec 4, 2023, 9:21 PM

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During student council elections, you had to vote for 2 of the 3 candidates. After the results were counted, the votes were the following:

Student A - 236 votes
Student B - 184 votes
Student C - 152 votes
How many people voted in total? (Assuming each person picked 2 candidates)
How many people voted for Student A and Student C simultaneously?

devout snowBOT Dec 4, 2023, 9:21 PM

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fading leaf During student council elections, you had to vote for **2 of the 3** candidates....

neat solstice Dec 4, 2023, 9:24 PM

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say 10 people vote for 2 candidates each
then we will get 20 votes in total right?

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let's say the votes are: 3,7,10 so total votes are 20. we can deduce that 10 people voted

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we can do the same here

fading leaf Dec 4, 2023, 9:26 PM

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So (152+184+236) / 2

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Right?

neat solstice Dec 4, 2023, 9:26 PM

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👍

fading leaf Dec 4, 2023, 9:26 PM

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Awesome.

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What about the 2nd part, that seems more tricky to me.

neat solstice Dec 4, 2023, 9:28 PM

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hmm

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indeed, tricky

fading leaf Dec 4, 2023, 9:28 PM

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this is 9th grade math by the way

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why do they make this so hard.

neat solstice Dec 4, 2023, 9:29 PM

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ahhhhhh

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i got it

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we have to make one implication

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someone cant vote for A twice for example

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if someone votes for A and C. that means they did not vote for B right?

fading leaf Dec 4, 2023, 9:30 PM

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Right.

neat solstice Dec 4, 2023, 9:30 PM

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so the number of people voting for A and C at the same time
is the same number of people not voting for B

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the number of people not voting B is the number of votes minus the number of people voting B

fading leaf Dec 4, 2023, 9:31 PM

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388

neat solstice Dec 4, 2023, 9:32 PM

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correct

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but not the end result

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that is the number of votes

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now we want to get the number of people

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and we already know how to do that 🙂

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number of people = Votes/2

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so 388/2

fading leaf Dec 4, 2023, 9:32 PM

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194

neat solstice Dec 4, 2023, 9:33 PM

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👍

fading leaf Dec 4, 2023, 9:33 PM

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Wait, but, how could 194 people vote for a and c simultaneously

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If c only has a total of 152 votes

neat solstice Dec 4, 2023, 9:33 PM

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oh true

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hmm

fading leaf Dec 4, 2023, 9:34 PM

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Any maybe someone voted c and b as well

neat solstice Dec 4, 2023, 9:37 PM

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ah i think i got it now

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Here, I fixed my statement:

so the number of people voting for A and C at the same time
is the same number of people not voting for B
the number of people not voting B is the number of voters minus the number of people voting B

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B got 184 votes

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so 184 people voted for B

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286 people voted

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so 286-184 people did not vote for B and thus voted for A and C

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that makes 102

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sry for the confusion before

fading leaf Dec 4, 2023, 9:39 PM

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No problem.

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Are you sure its correct?

neat solstice Dec 4, 2023, 9:40 PM

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pretty sure, yes

fading leaf Dec 4, 2023, 9:40 PM

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because for some reason, this question really makes you doubt your confidence lol

neat solstice Dec 4, 2023, 9:41 PM

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primarily, it makes me realise it's late haha

fading leaf Dec 4, 2023, 9:41 PM

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yes, I see now.

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Alright.

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I guess I’ll close it now. Thanks for the help, you made my evening way more nicer.

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.close

devout snowBOT Dec 4, 2023, 9:42 PM

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Channel closed

Closed by @fading leaf

Use .reopen if this was a mistake.

neat solstice Dec 4, 2023, 9:42 PM

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that is nice to hear 🙂

fading leaf Dec 4, 2023, 9:42 PM

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Cheers!

devout snowBOT Dec 4, 2023, 9:43 PM

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dusty dust Dec 4, 2023, 9:49 PM

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devout snowBOT Dec 4, 2023, 9:49 PM

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dusty dust

dusty dust Dec 4, 2023, 9:49 PM

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anyone understand

wraith horizon Dec 4, 2023, 9:49 PM

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sure, what's the problem

dusty dust Dec 4, 2023, 9:49 PM

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dusty dust

dis

wraith horizon Dec 4, 2023, 9:49 PM

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!status

devout snowBOT Dec 4, 2023, 9:49 PM

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What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

dusty dust Dec 4, 2023, 9:50 PM

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so i understand the lesson in general but i don’t understand this question cuz of the 4x^2 one

dusty dust Dec 4, 2023, 9:50 PM

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devout snow ``` What step are you on? 1. I don't know where to begin. 2. I have begun but go...

2

wraith horizon Dec 4, 2023, 9:51 PM

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ah okay

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so you can factor the 4x^2 thing and one of those factors should cancel out with the top to make it cleaner

dusty dust Dec 4, 2023, 9:51 PM

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I’d like to combine the top then combine the bottom
Normally when i find something like 4x^2 i usually do Mode 5,3 on my calculator yet i can’t do it this time due to the 4

dusty dust Dec 4, 2023, 9:51 PM

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wraith horizon so you can factor the 4x^2 thing and one of those factors should cancel out with...

Doesn’t work

wraith horizon Dec 4, 2023, 9:52 PM

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you can at least make it 4(stuff)?

dusty dust Dec 4, 2023, 9:52 PM

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or i don’t think it does

dusty dust Dec 4, 2023, 9:52 PM

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wraith horizon you can at least make it 4(stuff)?

ahh ok

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so it could be

wraith horizon Dec 4, 2023, 9:53 PM

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that at least gets rid of some things

dusty dust Dec 4, 2023, 9:54 PM

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-2 and +1

wraith horizon Dec 4, 2023, 9:54 PM

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yep

dusty dust Dec 4, 2023, 9:54 PM

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gets rid of x+1

wraith horizon Dec 4, 2023, 9:54 PM

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looks like it gets rid of a lot of things, that's nice

dusty dust Dec 4, 2023, 9:55 PM

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and then it’s 4/ 2x (4)(x-2)

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now what could we do?

wraith horizon Dec 4, 2023, 9:55 PM

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well I'm seeing at least 1 common factor on top and bottom 😛

dusty dust Dec 4, 2023, 9:55 PM

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OH LOL

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okay so we can get rid of the 4’s

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aaaand so it’ll be
1/2x(x-2)

wraith horizon Dec 4, 2023, 9:56 PM

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looking good

dusty dust Dec 4, 2023, 9:56 PM

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wooohooooo it’s rit

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thank uuu 🙏

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how to end ticket i forgor

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/end

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/close

wraith horizon Dec 4, 2023, 9:57 PM

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.close

dusty dust Dec 4, 2023, 9:57 PM

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.close

wraith horizon Dec 4, 2023, 9:57 PM

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oop I can't do it

devout snowBOT Dec 4, 2023, 9:57 PM

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Channel closed

Closed by @dusty dust

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Remember:
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• After 15 minutes, feel free to ping <@&286206848099549185>.
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dusty dust Dec 4, 2023, 10:00 PM

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wraith horizon oop I can't do it

hey could i ask another question 😭

devout snowBOT Dec 4, 2023, 10:00 PM

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dusty dust hey could i ask another question 😭

wraith horizon Dec 4, 2023, 10:00 PM

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sure, go for it

dusty dust Dec 4, 2023, 10:01 PM

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what if i got smth to factorize that doesn’t have a least common factor, something like 3x^2+8x+7?

wraith horizon Dec 4, 2023, 10:01 PM

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you can try to factorise it by hand

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or if you're really stuck, reach for the quadratic formula

dusty dust Dec 4, 2023, 10:01 PM

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oh so there’s no way to do it using a calculator?

wraith horizon Dec 4, 2023, 10:01 PM

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not...easily

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(ax +b)(cx + d) = acx^2 + (bc+ad)x + bd
ac = 3
bc+ad = 8
bd=7

obv. b d are 7 and 1, and a c are 3 and 1 which means...uhh...yeah I don't think this has real solutions because you can't get that middle bit to work

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if you have x^2 + bx + c it's a boatload easier to hand-factorise

smoky nimbus Dec 4, 2023, 10:05 PM

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You can check if it's factorable over reals using the discriminant first

wraith horizon Dec 4, 2023, 10:06 PM

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duh, of course

dusty dust Dec 4, 2023, 10:07 PM

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this was my teacher’s method but i don’t understand why it doesn’t work and gives me the same answer as my calc

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there’s supposed to be a 4 in front of the two parentheses

dusty dust Dec 4, 2023, 10:11 PM

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wraith horizon you can try to factorise it by hand

is there a more reliable method to factorize by hand?

wraith horizon Dec 4, 2023, 10:14 PM

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quadratic formula I guess

dusty dust Dec 4, 2023, 10:14 PM

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alright thank youu

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i’m assuming the way my teacher taught it isn’t very conventional 😭

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closing ticket now tysm for help :D

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.close

devout snowBOT Dec 4, 2023, 10:16 PM

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Channel closed

Closed by @dusty dust

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