#help-13

1 messages · Page 414 of 1

lapis kindle
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Ok but what then

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24 times 167.5

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168x25-167.5x24

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?

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Yippe

cerulean sail
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You got it now happyCat well done! SCCOZY

lapis kindle
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But my high school professor is pretty strict

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I don’t think she will accept that as a result

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😔

cerulean sail
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You could explain how you got it, at least catLove

lapis kindle
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But we are doing algorithms

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I mean

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Idk

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Is there another way to do the task ?

cerulean sail
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There isn't really many other ways to do it that are notably different from this way, tbh SCsadkittyNO

lapis kindle
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Imma check the results

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On the book

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I don’t usually do it since I try to practice on my own

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But in this case it’s fine ig

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@cerulean sail

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That was the way

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Ty

cerulean sail
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It's been a pleasure happyCat

lapis kindle
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Because it isn’t like an equation

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Where you just mindlessly calculate

cerulean sail
lapis kindle
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It might just come from experience ig

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My problem is that

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I can understand topics

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And classes

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No problem

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But I’m bad at tasks like these

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Where

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I have to come up with a way

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Instead of learning it

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😔

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Anyways ty

cerulean sail
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For examples like these, it's mostly thinking a bit through what you've learned really, and trying to break things down backwards, like for this one, it's a bit about understanding how you get the mean, you add everything up and then divide it by how many people you have

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So you know that there's a person in the group, if you remove them, the average changes but there's one less person you're considering, so basically thinking about the fact you can get the sum of everyone's heights from both of those, and whatever "extra" there is must be John happyCat

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And it's been a pleasure to help KL1Waving

lapis kindle
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If I ever need more help I’ll hit you up

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Kinda upset I didn’t get this one by myself though since it was pretty simple but oh well

cerulean sail
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Yea sure, or in these channels there are plenty of people who're happy to help and spend time with you happyCat

lapis kindle
lapis kindle
cerulean sail
lapis kindle
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If you’re interested

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If not I’ll leave ya alone

cerulean sail
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I might have to get some rest soonish so I may be coming off, but if it isn't too long, I don't mind catlove

lapis kindle
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I did (25.5 x 11 - 20.5 )/ 10

cerulean sail
lapis kindle
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And you get 26

cerulean sail
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Oh I got you now, I see happyCat

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Well done SCyay

lapis kindle
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Anyways I gotta go sleep

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I’ll get 7 hours of sleep or so if I go rn so

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Gn

cerulean sail
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Goodnight, sleep well KL1Waving

lapis kindle
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How do I end this btw

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So other people can get help

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😭

split ice
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.close

cedar kilnBOT
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split ice
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i'm did it catthumbsup

cedar kilnBOT
#
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cunning flint
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Not sure where to start

cedar kilnBOT
cerulean sail
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,rccw

wraith daggerBOT
cunning flint
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im thinking to set a cost equation that would be like 2hl + 2hw + wl

winter stirrup
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yeah

cunning flint
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but im not sure what to do from there

winter stirrup
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i dont wanna say anything but ur on track

cunning flint
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i set the cost equation in terms of H, and derived it, now I find the critical points and check which one is the minimum?

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.close

cedar kilnBOT
#
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spare widget
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hey im taking my asvab test tmr and i need help studying can any please help me i suck at math

dire geode
cedar kilnBOT
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@spare widget Has your question been resolved?

spare widget
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i need help with this

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explain it like im a 4 year old

flint plinth
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it's multiple choice, you could cheese it by just plugging in the point (0,-1) and noticing that only one answer is possible

spare widget
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i needa know the formula too

sullen cipher
wraith daggerBOT
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vικτιμιζερ

spare widget
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ngl this all look like gibrish to me

sullen cipher
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$$ $(x_1 ,y_1)$ and $(x_2 ,y_2)$ are two coordinates$$

spare widget
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so the x are the first number

sullen cipher
spare widget
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ok

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thank u guys

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ima join the army now cuz of yall

wraith daggerBOT
#

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

cedar kilnBOT
spare widget
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.CLOSE

sullen cipher
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.close

cedar kilnBOT
#
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ancient lodge
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(it's case sensitive)

cedar kilnBOT
#
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rapid temple
cedar kilnBOT
rapid temple
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Let me translate the problem it follows as:

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The dimension in meters of a rectangular room is the root of the following equation:

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X² - 12x + 32 = 0

whole nexus
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Also a room would have three dimensions

karmic field
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oh you mean like the length of the sides

rapid temple
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In order to cover all the room using 70cm each side how much tiles will be used to cover the room

rapid temple
karmic field
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you know how to solve the equation ?

whole nexus
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Ahhh the floor, then it's fine

rapid temple
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but i wanna know how to actually do the equation

whole nexus
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Well, basically first of all find the values of x

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You know how to solve quadratics right?

rapid temple
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no 😭

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i have it written on my notebook rn

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so let me see if this is correct

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A = X² B= 12x C= 32

whole nexus
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Whoa, well this question should only be attempted if you can solve quadratics ngl

floral arrow
karmic field
whole nexus
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Yeah seems fine

rapid temple
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should i?

karmic field
whole nexus
floral arrow
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If your question is about solving quadratic equations, you should definitely go learn that before asking about this problem

rapid temple
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yeah also context im trynna pass on this really really prestigious college and math is my weakest subject

floral arrow
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Tons of resources online that can teach you

rapid temple
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and im pretty smart i have 9-10 on all subjects so they accepted me to do the exam

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but the exam is all math and this is one of the questions the last year exam asked for

rapid temple
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wish me luck

whole nexus
rapid temple
whole nexus
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Alright then, for this question, just learn how to solve a quadratic equation

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It'll show two formulae, learn both of them

rapid temple
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formulae i didnt knew plural of formula was formulae

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cool thing

whole nexus
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It just sounds better than formulas

rapid temple
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right

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sorry for wasting time anyway

whole nexus
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Well, you can close this channel and open another one once you've learned the topic

whole nexus
rapid temple
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how do i close it before the time?

whole nexus
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.close

rapid temple
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.close

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#
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cedar kilnBOT
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dire radish
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is differential calc easier than multivariable calc

fossil dawn
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uhh... you're comparing univariate/single-variable differential calc to multivar calc?

cedar kilnBOT
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@dire radish Has your question been resolved?

cedar kilnBOT
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frigid shadow
cedar kilnBOT
frigid shadow
#

what are the functions 7 and 9?

warped coyote
cedar kilnBOT
# frigid shadow what are the functions 7 and 9?
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
frigid shadow
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the assignment is to get the derivative

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need the functions

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for 9,

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i thought it might be something like 1/x

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but it looks different

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and for 7 i have no clue

warped coyote
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Is there any more info?

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9 looks like x + (1/x)

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And q7 looks like e^-(x^2)

frigid shadow
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we’re supposed to match it to a derivative function

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9 is S and 7 is O

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on the key

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but idk how to get

warped coyote
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Well 9 should be easy enough, use the power rule

frigid shadow
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so 9 is it x + 1/x, becomes 1 + 1/x^2

warped coyote
frigid shadow
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what about 7 ? how do u know it has e so it stays the same if its a derivative, but why does the key say its O

warped coyote
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It is o, don't forget the chain rule

frigid shadow
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oh ik

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ok*

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i think i got it

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thanks

warped coyote
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Anything else?

frigid shadow
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nope. have a good day

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.close

cedar kilnBOT
#
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cedar kilnBOT
#
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Show your work, and if possible, explain where you are stuck.
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burnt raptor
#

Not sure where to start. I think f'(-10) has something to do with derivatives like perhaps using x^(n-1) to reformat to help find f'(-10)? Have to use f(x) = 15 to find f'(-10), perhaps some sort of solving where you divide or set something equal to eachother to find f'(-10).

chilly warren
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What is f'(x)?

flint plinth
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is there more to the question?

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are they saying that f is the constant function 15, or it's equal to 15 at some x, or what?

burnt raptor
#

.close

cedar kilnBOT
#
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cedar kilnBOT
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Available help channel!

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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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sullen pendant
cedar kilnBOT
indigo lagoon
#

Is the given graph f(x)?

sullen pendant
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Y= f(x) yes

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What do I do in this scenario?

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X would =2 wouldn’t it?

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Or can we not assume that?

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Btw each box is 4 units wide and 5 units high

indigo lagoon
sullen pendant
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I retract that statement idk where I was getting that from

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But what would the first step be?

indigo lagoon
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Alright so, the first question is: Do you know how to translate this stuff into English?

sullen pendant
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What do you mean?

indigo lagoon
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Like what does it mean, its definition etc

sullen pendant
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Well there’s a limit as x approaches 12

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And to find it

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You need to use the formula given

indigo lagoon
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yes, anything else you find?

sullen pendant
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B it would be indeterminate wouldn’t it be?

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Or it wouldn’t because

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No it would be because X = 20 at that point

indigo lagoon
sullen pendant
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But it*

indigo lagoon
sullen pendant
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Yeah

indigo lagoon
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Do you know the slope formula?

sullen pendant
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Wdym like

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Y1-y2

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¯_(ツ)_/¯

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I can’t

indigo lagoon
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how about its denominator?

sullen pendant
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Use the slash 😭

indigo lagoon
sullen pendant
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The denominator would be x2-x1

indigo lagoon
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Yes

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So the slope formula is $\frac{y_1-y_2}{x_1-x_2}$

wraith daggerBOT
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This is sad 😢

indigo lagoon
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Right?

sullen pendant
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Yeah

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Do they want me to use the slope formula?

indigo lagoon
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We now replace $y_1$ and $y_2$ with $f(x_1)$ and $f(x_2)$

wraith daggerBOT
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This is sad 😢

indigo lagoon
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$\frac{f(x_1)-f(x_2)}{x_1-x_2}$

wraith daggerBOT
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This is sad 😢

indigo lagoon
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and yes, it requires the concept of slope

indigo lagoon
sullen pendant
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Ooh that checks out why I was having trouble, I’m not great with definition of derivative problems

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Mmmm think give me a hint?

sullen pendant
indigo lagoon
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Sure why not

indigo lagoon
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Look carefully, they look pretty alike

sullen pendant
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Ok ok so I need to find x1

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Right?

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Would that be 12?

indigo lagoon
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nah, you're too fast, lemme finish

sullen pendant
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Ok ok

indigo lagoon
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So do you agree that this guy is telling you the slope between two points, if you remove the limit notation?

sullen pendant
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Mhm

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That bit checks out

indigo lagoon
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and f(12) = 20

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(it's on the graph)

sullen pendant
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Yes

indigo lagoon
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So we can basically rewrite it as\
\
\$\frac{f(x)-f(12)}{x-12}$

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oops

wraith daggerBOT
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This is sad 😢

indigo lagoon
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and for every x you plug in, this stuff tells you the slope between (x, f(x)) and (12, f(12))

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got ya so far?

sullen pendant
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Yeah I’m following

indigo lagoon
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Right

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Let's take the limit notation back

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So this stuff says "when x is very very very VERY close to 12, what would be the slope"

sullen pendant
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Yeah I understand that bit too

indigo lagoon
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the slope between (x, f(x)) and (12, f(12))

sullen pendant
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But what number would I then plug in for (x,f(x))?

indigo lagoon
#

and yes, that's the definition of derivative, is there any provided piecewise function in the question?

indigo lagoon
sullen pendant
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Well here’s the whole problem, it just states that y=f(x)

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Do you see where my confusion sprouts from now?

indigo lagoon
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where did you get this?

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without any function

sullen pendant
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Well I used the graph to find (88,y)

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And then i estimated the slope, which seemed to be -0.5

indigo lagoon
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uhhh......doesn't seem to be a legit approach

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but sure, given that your teacher didn't provide any function either

bronze tapir
# sullen pendant

Find f(12) in graph by seeing the grid
If it's coming out to be 20
Then 0/0 form you can do lopital rule
Main question is how we gotta find the function by just looking at graph

sullen pendant
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I was gonna say

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We haven’t been taught Lolita’s rule yet so we aren’t allowed to use it :(

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I understand it could be helpful in this situation but we haven’t gotten there yet

indigo lagoon
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you don't need that here

sullen pendant
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Oh

bronze tapir
#

Ohk
I think Indian mathematics is a quite on higher side

indigo lagoon
#

All you need is a well-defined function

sullen pendant
#

But we don’t have that

bronze tapir
indigo lagoon
sullen pendant
#

No, it’s a common occurrence for the last question on our homework to be rather difficult or even impossible

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But he’ll find a way to muster up an answer

bronze tapir
indigo lagoon
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I presume this one falls into the second category

sullen pendant
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I’d agree but he always has an answer

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With an explanation too, which makes it even more confusing because it puts me in awe that he would even know what to do

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If that makes sense

indigo lagoon
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idk how would they excuse this

sullen pendant
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Me neither

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But at the end of the day I need to understand it to pass the class

indigo lagoon
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idk if we can take it as a quadratic function

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It's definitely not the right way to do in normal circumstances, but why not give it a try

sullen pendant
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I suppose if there are no other options

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Could you do something like

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(20-10)/(12-10)?

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Mmm idk about that actually

bronze tapir
indigo lagoon
sullen pendant
#

The slope formula

indigo lagoon
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(10,10) is a point on the function?

sullen pendant
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Well

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It appears to be

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Roughly 1.1 box down and 1 box to the left

indigo lagoon
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no, you cannot do that. Since the derivative of f is supposed to yield a slope that tangent to the spot

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Doing so does not guarantee that

sullen pendant
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I’m not sure what else to do

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What do you recommend(

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?*

indigo lagoon
sullen pendant
#

Using the quadratic formula?

indigo lagoon
#

Setting $ax^2 + bx + c = 0$

wraith daggerBOT
#

This is sad 😢

indigo lagoon
#

Find three points on that goofy function

sullen pendant
#

How do we know that it’ll = 0?

indigo lagoon
#

find a, b, c, and manually generate a function that looks alike to the curve

indigo lagoon
indigo lagoon
#

Setting $f(x) = ax^2 + bx + c$

wraith daggerBOT
#

This is sad 😢

sullen pendant
#

We haven’t learned this either, I may just go in early tomorrow during the professor’s office hours to ask what he wants me to do

indigo lagoon
#

Alright

sullen pendant
#

I greatly appreciate your help though, thank you very much

indigo lagoon
#

Feel free to claim another help channel tomorrow if you're still confused

#

no worries, have a good one

grave osprey
#

I have a question, we can't use lhopital here?

sullen pendant
#

Thanks, you too

indigo lagoon
sullen pendant
indigo lagoon
#

but not necessary

grave osprey
#

oh

sullen pendant
#

It’s a very unfortunate series of events

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Alright, I’m heading to bed, good night you guys, thank you very much, if I’m still confused tomorrow you’ll likely be seeing me again

indigo lagoon
#

Alright

#

cyaa

sullen pendant
#

Have a good one

plush flame
sullen pendant
#

Unless Webster has some sort of anomaly

plush flame
#

👁️

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i was trying to figure out the graph on desmos but that thing looks hand drawn

abstract breach
indigo lagoon
chrome elk
indigo lagoon
#

The problem is that we lack a well-defined function

plush flame
#

i have gathered that

sullen pendant
#

I’m gonna head in early tomorrow, would you guys like an update after the answer is reveiwed in class?

indigo lagoon
#

Sure

sullen pendant
#

Alright sounds good, I’ll talk to you later, thanks again

#

.close

cedar kilnBOT
#
Channel closed

Closed by @sullen pendant

Use .reopen if this was a mistake.

sullen pendant
#

.reopen

cedar kilnBOT
#

sullen pendant
#

Anything Xavier?

chrome elk
#

Nothing that hasn't been said yet no

indigo lagoon
#

nah, he can reopen himself if he has anything to say

chrome elk
#

Abusing power like it's going out of fashion

indigo lagoon
#

fr 😭

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I wish I were a helpful

sullen pendant
#

You were, this problem is just beyond difficult

chrome elk
chrome elk
sullen pendant
#

Exactly thank you

chrome elk
#

Difficult problems are solvable still

sullen pendant
#

Alright I think I’m heading to bed, if you guys think of anything and are curious to find out for yourself you can always DM me or send a friend request, thanks to all of you out there trying to help me, have a good one

#

.close

cedar kilnBOT
#
Channel closed

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Use .reopen if this was a mistake.

chrome elk
#

Good night!

main magnet
#

hi

chrome elk
#

Hi, if you have a question, please claim an available channel such as #help-48

cedar kilnBOT
#
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.

craggy tusk
#

Hi, i know it's kinda late, but i've been stumped by this exercise that i have literally no idea on how to even start it, i've done some research and i got something called symmetrical integral, but my teacher hasn't explained it and it seemed a bit too cryptid for me to understand by reading it from the webpage, the most i got was to understand that i have to use sustitution but i don't really know, can anybody help me?

lime bloom
#

a symmetric integral means that the function looks as if its mirrored; in this case, its mirrored across the y-axis

#

with symmetry, instead of taking the integral from -3 to 0 and from 0 to -3, you can just calculate the integral from 0 to 3 and multiply it by 2 (since they should have the same value by symmetry)

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(u can also get rid of the pesky absolute value that way too)

craggy tusk
lime bloom
#

that, and if i flip the function over the y-axis, it should look mirrored

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analytically this mirroring's better stated as f(-x)=f(x), or something to that effect

chrome elk
#

Close

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The limits would change as well

craggy tusk
#

oo

chrome elk
#

The limits for u aren't the same as the limits for x

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Also your 1 looks like a 7, might wanna fix that

craggy tusk
#

ok ok

#

is that a general rule or just in these cases?

chrome elk
#

Whenever you're substituting you gotta be careful of that

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Usually it ends up not mattering cuz you write it in terms of x at the end before plugging in values

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But it's still good practice

craggy tusk
#

that's odd but it kinda makes sense, bc i've done exercises where i have to substitute and i don't change the limits, but since i

craggy tusk
#

that's what i was noticing rn when i went to check for my previous problems

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i almos had a heart attack thinking that i had to redo and rethink

#

40 problems 😟

craggy tusk
chrome elk
#

Well when x is 0 what is u

craggy tusk
#

3

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(about this right?)

lime bloom
#

yep through that

craggy tusk
#

ok, so if x is 0 u is 3

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and if x is 3

#

u is 6

lime bloom
#

yep

craggy tusk
#

so this

craggy tusk
lime bloom
#

yup, i think that should be good

craggy tusk
#

ok, then when i change u back to X i shall change the limits on it as well

#

right?

lime bloom
#

woil you could, but thatd just add more work; easier to just use the new limits with u, since you already went through the trouble of converting from x to u

craggy tusk
#

it won't change the answer?

#

well i guess i can test that by myself, i don't want to add more work to you

chrome elk
#

It won't, no

#

That's the idea behind substitution

craggy tusk
#

so, please correct me if i'm wrong, but it should look something like this?

lime bloom
#

that should be the gist of it, yes

craggy tusk
#

oh alr, thank you very much for helping me!, have a nice night/day (in my country is 12:35 AM)

#

.close

cedar kilnBOT
#
Channel closed

Closed by @craggy tusk

Use .reopen if this was a mistake.

cedar kilnBOT
#
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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karmic field
#

hello can someone explain what the dirac delta function is i found somewhere saying it can be considered as the derivative of the step function but isnt that just 0 everywhere

chrome elk
#

Dirac delta function can mean a lot of things depending on what context you found it in

#

In physics, it's a function which is 0 everywhere and "infinity" at a point

#

And it integrates to 1

#

Don't ask

karmic field
karmic field
chrome elk
#

Well depending on the context it's not even a function

karmic field
chrome elk
#

Cuz physics

#

In measure theory, it's more well defined

#

The dirac measure is essentially

#

You pick a point, and if the set contains that point it has measure 1

#

If not it has measure 0

karmic field
#

what are you even saying at this point

chrome elk
#

Hence me asking what context you found it in

karmic field
#

is it not defined the same for all math context

last apex
chrome elk
karmic field
karmic field
#

how can definition change based on the context

#

im refering to delta dirac function

#

so what is this function do we have a formula for it

chrome elk
#

Well the dirac delta function is quite literally what I said at first

#

It's 0 everywhere and infinity at 0

#

It's used to model point masses and stuff

karmic field
#

then whats the point of it having an input

#

if δ(x) is the same for all x

chrome elk
#

Well that's δ(x)

karmic field
#

why we write δ(t-a)

chrome elk
#

What about δ(2x+1) perhaps

chrome elk
karmic field
#

so at a

chrome elk
#

Mathematically, dirac delta is a linear form acting on functions

karmic field
#

but how is that possible

chrome elk
#

It's not, but it's helpful for physics modelling

karmic field
#

arent functions defined from C->C at most

karmic field
chrome elk
#

It's not.. wrong. You just don't have the tools to properly define it yet

karmic field
#

what does it mean for a point to be at infinity

#

does that point even exist

slender atlas
#

can I share a link here for OP to try to read, if he wants to try understanding the Dirac delta function?

chrome elk
#

Sure go ahead

chrome elk
#

I have been tempted to send the wikipedia link lol

chrome elk
#

Original Poster

#

You

karmic field
#

what is this

#

is this U well

#

whats it called

slender atlas
#

the motivation behind the Dirac delta function.

karmic field
#

potential well in physics

#

or its randomly looking similar

chrome elk
#

It is the same idea I believe

karmic field
#

is like U(x)

#

where U=0 inside a domain

#

and U= +oo

#

outside

#

something like this

chrome elk
#

Yes, physics modelling often requires infinite values

karmic field
#

so what does it mean to write down δ(0) = +οο

#

well actually better question is how we define infinity

#

cause so far ive treated infinity as a concept like i write lim f = +oo but i can never do arithmitics with it like write down 5 (+oo)

last apex
#

We don't.
Thata how you would think about it "intuitivly" and what we actually use are the properties of it.

chrome elk
#

Whenever you have a dirac delta function, you usually don't care about its value at a point

#

You care about what happens when you integrate it

karmic field
chrome elk
#

That's interesting

karmic field
#

matter or fact i care about it a lot now

#

a very much lot

cosmic hound
#

Technically it's not a function and integrating it is just pretend shorthand

last apex
#

probably xy

chrome elk
#

Yeah this is xy territory

karmic field
#

so how do we define infinity

chrome elk
#

Who's doing it

karmic field
#

for example we can define 5 as the successor of 4

#

how can we define something that is bigger than any other number

chrome elk
#

Okay fine it's me

#

!xy

cedar kilnBOT
#

Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.

karmic field
#

idek if it is a number

cosmic hound
#

there are all sorts of infinities

chrome elk
cosmic hound
#

cardinal numbers, ordinals, one-point compactification, extended reals, hyperreals, surreals, etc

karmic field
#

tell me one of them

chrome elk
#

We have moved way too far from the original problem

#

Could you send your original question please

#

Cuz at this point we are just talking concepts

karmic field
#

idc about the original problem

#

there is no problem

#

i solve everything

#

only problem is understanding what this is and why my source avoided talking about it

chrome elk
#

Most likely cuz you lack the tools to properly define it now

#

But it's still useful to have

last apex
#

Should we introduce measure theory?

chrome elk
#

I tried at the very start if you scroll up

karmic field
#

what course do you learn that in

chrome elk
#

Measure theory

karmic field
#

is that Real analysis or something

chrome elk
#

Exact course name would depend on your curriculum

karmic field
#

idk what level that is

#

got anything to do with this

last apex
#

After real analysis

karmic field
#

Positive Borel Measures

#

oh

last apex
#

Yes

karmic field
#

yea nvm

#

thats way too far from me

chrome elk
#

Exactly

#

For now just treat it as a black box

karmic field
#

i havent properly started analysis yet

#

well i have kinda but not in order

karmic field
last apex
#

You can get a taste of measure theory

karmic field
#

is there no way for you to somehow tell me what we "mean" when saying a point is at infinity

#

as to where it is

chrome elk
chrome elk
#

The dirac delta function integrates to 1 over ℝ

#

And we want the area where it's non-zero to be as small as possible

karmic field
# chrome elk I understand that feeling

yea its same way it pissed me off some months ago when i was in highschool and they were saying the when you split an interval and choose ξκ is does not affect the result of the Sum

chrome elk
#

So we define it as a limit of functions

#

All of these functions have area 1

#

And we slowly reduce the area where they are non-zero

karmic field
#

well so its not a point ?

chrome elk
#

Have you done sequences of functions

karmic field
#

but limit infinity

#

is a concept

#

we cant do arethmitics with it

chrome elk
#

Maths is more than arithmetic

#

Also we very much can

karmic field
#

we call it infinity but in reality its just that for every M>0 blah blah blah

chrome elk
#

Extended reals are very well defined

karmic field
#

yea well which is it

#

is it at infinity

#

or is that that for every M>0 there is ...

chrome elk
karmic field
#

and im like 2/3 in differential equations

#

so series go up to like taylor series

#

binomial

karmic field
#

ive only skipped 1 ε,δ proof in sequences i think cause it got too complicated

#

so i should know what you need

#

i see the limit definition

chrome elk
#

$\delta_a(x) = \frac{1}{\abs{a}\sqrt{\pi}} e^{-(\frac{x}{a})^2}$

karmic field
#

but the problem is this should only be valid for when lim converges

#

this the formula?

wraith daggerBOT
#

Xavier 🌺

karmic field
#

yea ik what this function looks like

chrome elk
#

Now look at this as a goes to infinity

karmic field
#

Gaussian integral looking

karmic field
chrome elk
#

It's a sequence of functions

karmic field
#

oh yea ok

#

so the limit

#

lemme get a paper

chrome elk
karmic field
#

yea i havent done this notation no

#

but i understand and can do it

#

i have done series represenation of functions

#

but isnt this only valid if it converges?

chrome elk
karmic field
#

ok lemme calculate it

chrome elk
#

I will once again say, some things are okay to use as black boxes since you don't have the tools to rigorously understand them. And I understand that this can be unsatisfying but you'll just have to be patient

karmic field
#

but like atleast

#

as an idea

chrome elk
#

What I have given here doesn't exactly work, but it is as close as I can get without having to teach you measure theory and distribution stuff

karmic field
#

damn

#

this |a| is really annoying

#

cant even do DLH

#

case work ig

#

@chrome elk how do we calculate this

chrome elk
#

Heck if I know lmao

karmic field
#

wtf man

#

bro got me struggling when not even he knows

#

DLH doesnt work just keeps bringing a down

#

well lets take easy case x=0

#

then its positive infinity

#

whats the point

chrome elk
#

I told you this is a bad idea given the tools you have rn

karmic field
#

can you maybe

#

idk tell me what a point at infinity means in words

#

like is it with the limit definition

chrome elk
#

Literally nothing, all we want is the function to integrate to 1

karmic field
#

is it that the point is >M for every M>0

chrome elk
#

And this is how we define it

karmic field
#

is that it?

chrome elk
#

Sure if you want that

#

Like I said, you will never work with this function outside of an integral

karmic field
#

that makes a lot more sense than saying its at infinity

chrome elk
#

So all you care about is how its integrals behave

karmic field
#

why will i not is it not allowed

#

this is so odd but ok ig ill leave it behind

#

for now

chrome elk
#

The function doesn't exist per se

#

It's just useful to say it does and use its integral

karmic field
#

ill leave it before i start asking questions that bring us to other theories

jovial anchor
#

dirac delta is essentially the map $f \mapsto f(0)$

wraith daggerBOT
#

Pseudo (Cat theory #1 Fan)

jovial anchor
#

at least this is how i like to think of it

chrome elk
#

Yeah the next question you ask I'm going to throw linear forms at you

#

Oh nvm Pseudo already did, thank you

karmic field
jovial anchor
karmic field
#

havent seen this notation

jovial anchor
#

it's input is a function f

#

and the output is the value of f at 0, f(0)

karmic field
#

oh input

#

yea bro nv m

#

this is getting me more questions

jovial anchor
#

e.g. maybe the input to dirac delta would be the function "sin(x)"

#

then the output would be sin(0) = 0

karmic field
#

even more now

#

ill just leave it behind as much as i dont want to

jovial anchor
#

that's alright

karmic field
#

ok thanks for the help guys

#

appreciate taking your time with my annoying arguing questions

#

.close

cedar kilnBOT
#
Channel closed

Closed by @karmic field

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.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

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wise forge
cedar kilnBOT
wise forge
#

It tells to find the integer solution of a,b,c

slender atlas
#

not enough information.

#

you have three unknowns to solve with one equation. unless there's more to this question, I don't think there is a unique solution.

last apex
#

all solutions

#

There are finitly many

wise forge
#

All possible solutions

slender atlas
#

I see.

wise forge
#

I get
2(a+b+c)=abc

last apex
#

Let a <= b <= c

#

How large can a be?

#

Oh wait do you want integer solutions or postive integer solutions?

wise forge
#

I think the question means positive integer solutions

last apex
#

Yeah ok this is much easier

last apex
wise forge
#

i mean probably if i use brute force

upper laurel
#

think about what happens if the fractions are too small

last apex
#

No need brute force

wise forge
#

i dont get it

slender atlas
#

take a = 10, for instance.

slender atlas
wise forge
#

sry guys i must go now byr

#

.close

cedar kilnBOT
#
Channel closed

Closed by @wise forge

Use .reopen if this was a mistake.

cedar kilnBOT
#
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>.
• Type the command .close to free the channel when you're done.
• 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.

dawn narwhal
#

can someone pls help me understand goniometric inequations? my problem is when i have to pick the answer after i draw the circumference, like especially with 2nd grade equations i can give an example, im at a point ehere im left with •tanx<=-1 and tanx>=sqrt3/3, i draw the circumference but im just confused what the hell am i supposed to pick

slender atlas
#

,rccw

wraith daggerBOT
slender atlas
#

for future helpers, maybe: would it be fine if you posted the original question too?

dawn narwhal
#

yeah sorry

slender atlas
#

,rccw

wraith daggerBOT
slender atlas
#

maybe original, like the book this question came from?

#

it will help us understand how you got to this step.

dawn narwhal
#

sure

chrome elk
slender atlas
#

hm, you are on the right approach.

#

if you know the graph of the tangent function, it would be easier to do this. are you allowed to graph?

dawn narwhal
#

like trying to get the solutions from y=tanx?

#

it wasnt how he taught it but im sure its fine

#

as long as the answer is correct

slender atlas
#

then you could try finding the base solutions by graphing tan(x) for 0 < x < 2pi first.

dawn narwhal
#

why 0 and 2pi specifically?

slender atlas
#

length of a period (though for tangent, you can technically get away with 0 < x < pi, since the period of the tangent function is pi radians).

frosty creek
#

Its the periodicity of tan

dawn narwhal
frosty creek
#

You have to convert it back to x and add the periodicity

dawn narwhal
#

like this?

slender atlas
#

yeah.

#

then now find the solution for tan(x) = -1 and tan(x) = sqrt(3)/3.

dawn narwhal
#

ok and that is -pi/4+kpi

#

and uh

#

pi/6+kpi

frosty creek
#

Yeah

dawn narwhal
#

but in the inequation it would be x<=-pi/4+kpi and x>=pi/6+kpi wouldnt it

slender atlas
#

well, because of the period of tangent, we can rewrite -pi/4.

#

can you rewrite this to be positive?

dawn narwhal
#

2pi-pi/4

#

or ub

#

uh

slender atlas
#

the period of tangent is pi.

dawn narwhal
#

7/4

slender atlas
#

you can make this even smaller.

dawn narwhal
#

what i learnt was that the 4th quadrant is 2pi+teta

#
  • sorry
#

minus*

#

not plus

slender atlas
#

yes, but again, tangent has a period of pi.

#

so we can actually do pi - pi/4.

dawn narwhal
#

but if i did pi-teta wouldnt it be 2nd quadrant?

slender atlas
#

that's where the kpi comes in.

dawn narwhal
#

oh cus 5/4 and 7/4 is the same

#

got it

slender atlas
#

3/4*

dawn narwhal
#

with tangent

#

yeah 3/4 mb

slender atlas
#

mhm.

dawn narwhal
#

ok so uh

slender atlas
#

so what are your two inequalities now?

dawn narwhal
#

so id have x<3/4pi and x>pi/6

slender atlas
#

don't forget your equals.

dawn narwhal
#

yeah

slender atlas
#

but yes. can you now combine them into one inequality?

dawn narwhal
#

do i do like the graph like i did 2 years ago when i learnt ax^2+bx+c>0?

slender atlas
#

you don't have to. you're at the last step already.

#

(well, second last. there's one more step because you're dealing with tangents.)

dawn narwhal
#

it would be

#

pi/6<=x<=3/4pi

slender atlas
dawn narwhal
#

wait is that it

slender atlas
#

now, there is one more step. because we are dealing with a tangent, we have one more restriction to consider.

dawn narwhal
#

right pi/2+kpi

slender atlas
#

correct. x can never be any of those values.

#

now you can write the final answer.

dawn narwhal
#

so like

#

can i like ignore any graph and do the inequality with the graph like i wouldve did if there was no sin/cos/tan

slender atlas
#

sorry, what do you mean?

dawn narwhal
#

cus i did the quadratic formula and got tanx1=sqrt3/3 and tan2=-1

#

i know from the initial equation that a>0 and we have >

slender atlas
#

yeah, that's the correct strategy here.

dawn narwhal
#

so i know i do x<= the smaller one

#

and x>= the bigger one

#

i solve tanx<=-1 as if it were tanx=-1

slender atlas
#

I see your point, but isn't that what you've done here?

dawn narwhal
#

but i domt see how that could make it any easier than what we did

slender atlas
#

I don't think that is necessary, but if your teacher forces you to use that method or you score no marks, then, well...

#

you don't exactly have a choice, do you.

dawn narwhal
#

he doesnt at least i dont think so

slender atlas
#

if the teacher allows other methods, then absolutely. I see this being a little more intuitive.

dawn narwhal
#

he always says do wtv u want as long as u get the right answer

slender atlas
#

then yeah, your method makes perfect sense. it's how I would have done it too.

dawn narwhal
#

ok well

#

tysm for the help ❤️

slender atlas
#

my pleasure. is there anything else?

#

if not, please remember to close the channel.

dawn narwhal
#

nope at least for now ty

#

.close

cedar kilnBOT
#
Channel closed

Closed by @dawn narwhal

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cedar kilnBOT
#
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After 15 minutes, feel free to ping <@&286206848099549185>.
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slender atlas
#

you seem to have the exact same picture as the OP in #help-42.

chrome elk
#

That is absolutely amazing lmao

warm slate
#

Thanks for pointing this out.

calm sierra
#

.close

cedar kilnBOT
#
Channel closed

Closed by @calm sierra

Use .reopen if this was a mistake.

chrome elk
#

Right sorry for not tagging a mod

slender atlas
#

my apologies as well.

cerulean sail
cedar kilnBOT
#
Available help channel!

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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.

formal crypt
#

this is dumb but from
x/x-1 - 1/x = 1/x-1

what is the common denominator?

indigo lagoon
#

$\frac{x}{x-1} - \frac{1}{x} = \frac{1}{x-1}$

wraith daggerBOT
#

This is sad 😢

indigo lagoon
#

Is this your question?

#

@formal crypt

formal crypt
#

yes

indigo lagoon
#

Alright so, I have a simpler question for you beforehand

#

Can you simplify this for me?\
$\frac27 + \frac{3}{11}$

wraith daggerBOT
#

This is sad 😢

formal crypt
#

I know how to find common denominators but i can't figure out how to find that one

high coyote
#

7 is prime
11 is prime

formal crypt
#

yes i know

prisma pike
#

Describe the process in which you do so

formal crypt
#

the least common denominator is 77 so i multiply 11 times 2 and 11 times 7

#

then i repeat with 7 on the other fraction

#

i get 22/77 + 21/77 = 43/77

prisma pike
#

Mhm

#

So in general

#

The common denominator of fractions $\frac{a}{b}$ and $\frac{c}{d}$ is $bd$ yes?

wraith daggerBOT
#

denzio321

formal crypt
#

yes

prisma pike
#

$\frac{x}{x-1} - \frac{1}{x} = \frac{1}{x-1}$

wraith daggerBOT
#

denzio321

prisma pike
prisma pike
formal crypt
#

x(x-1) right?

cedar kilnBOT
#

@formal crypt Has your question been resolved?

#
Channel closed

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#
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Ask your math question in a clear, concise manner.
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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.

idle epoch
#

bot

cedar kilnBOT
idle epoch
#

help

#

Help Bot!

#

how to work a standard and wuadtraic ewuation

#

OMGEE

#

okg

dire geode
cedar kilnBOT
# idle epoch how to work a standard and wuadtraic ewuation

Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.

indigo lagoon
idle epoch
#

wait

#

Giys come back please

#

Chatgpt is being wrong i need help

indigo lagoon
#

What did you ask them?

idle epoch
#

The quadratic formula i have is
y= 3x^2 + 5x - 2

I need to fjnd the x intercepts

How do i do that? I was given the quadratic formula

#

How do i get the bot to work

#

!oringial

#

ididi

#

!original

cedar kilnBOT
#

Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.

indigo lagoon
idle epoch
#

im being ragebaited by chatgpt ai and this ai

#

I need help with my math

indigo lagoon
#

yeah, I'm here for you

#

$y= 3x^2 + 5x - 2$

wraith daggerBOT
#

This is sad 😢

idle epoch
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I got to the equation

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oh

indigo lagoon
#

So what have you tried?

idle epoch
#

Let me show u a oicture

indigo lagoon
#

Alright

idle epoch
#

im stuckon the swuare root of 1 i think i didnt somethign weong

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wrong

indigo lagoon
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you did get something wrong

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it's a very small detail

idle epoch
#

whatd i get erong

indigo lagoon
idle epoch
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Excuse my bad grammar ihave a phone and the meyboard is ass

indigo lagoon
#

the yellow part is supposed to be -2 not 2

indigo lagoon
idle epoch
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ohh

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Ok let me rewrite the whole thing

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Thank you

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Can i work on my question than show u if its right

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wait

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comebakc im stuck

chrome elk
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Yeah sure take your time

indigo lagoon
idle epoch
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is it like this

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the -24

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Idk how to use iphone calculator its top tier ragebaiting

chrome elk
#

What's 25 -(-24)

indigo lagoon
#

looks good

idle epoch
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Um so the negitive and negitive turns to a postive so is it 49

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im stuck again whay do i do for the 2/6

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should i shrink it to 1/3? or do smthing else

chrome elk
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Well firstly, there are two x-intercepts

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You want a ± before the square root

chrome elk
idle epoch
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oh so like i would seitch it up

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Wait i rem doing this in grade 10 math let me try it

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like this

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Ts lowk so cool i rem doing this

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guys whered u go💔

indigo lagoon
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Looks cool

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What would you do next?

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@idle epoch

idle epoch
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Ok so

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now my friend shown me one way but i understand this way mor eeasier

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Now i need to find the vertex

supple falcon
#

uhhh, what's the problem?

chrome elk
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The vertex is the point where it has the lowest/highest value

idle epoch
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honestly idk what the teacher means by the vertex

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ohok wait let me showu what i need to learn

chrome elk
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Are you familiar with differentiation yet

idle epoch
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i need toknow these

idle epoch
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no clue what that word is

chrome elk
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Ah cool I'll take that as a no

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In that case you find vertex by completing the square

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Do you know how to do that

idle epoch
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NO

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No

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sorry caps

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how do i find vertex for number 1 wuestion “a”

dire geode
idle epoch
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8’ gna kms💔

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Im in grade 11 math uni level prep Functions

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if ts helps

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canada to

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so erm um

cerulean sail
idle epoch
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WDYM

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Caps sorry

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This seems like im ragebaiting but idk how to use discord i only come for help with my classes

cerulean sail
#

Is this a test, or is it homework or something?

cerulean sail
idle epoch
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I have a math test right now so i skipped it to go study for math

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Ok im sorry

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I am studying my math work and i need help with the topics , i want to learn about the topics before i do my unit tests

cerulean sail
idle epoch
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yes

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if only if only if onlyyyyy you knew my logic💔💔

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Ok so i need to find what a vertex and stae the veryex is

cerulean sail
#

Well, I'll take your word for it, for now sadCatThumbsUp

cerulean sail
# dire geode

Anyways you have this source here, does this help you a bit, comparing it to what you have in your question?

cedar kilnBOT
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@idle epoch Has your question been resolved?

cedar kilnBOT
#
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edgy olive
#

How do i factor 2x^2-x-45=0

cedar kilnBOT
edgy olive
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I js need help factoring quadratics with a coefficient on the x^2

indigo lagoon
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$2x^2-x-45=0$

wraith daggerBOT
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This is sad 😢

indigo lagoon
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Alright, what have you tried?

edgy olive
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Okay so i’ve tried multiply -45 by 2

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And then divide it later

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Although i had myselff guessing why i was wrong when i got x= -4.5 and x =5

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Instead of x=4.5 and x=- 5

indigo lagoon
gray hamlet
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can't you just apply quadratic formula?

indigo lagoon
edgy olive
edgy olive
dusk finch
edgy olive
dusk finch
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,calc 2*5^2 - 5 - 45

wraith daggerBOT
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Result:

0
indigo lagoon
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That's correct

edgy olive
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Oh sorry the equation was 2x^2+x-45

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=0

indigo lagoon
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I see

edgy olive
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Yes and i got -4.5 and 5

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But it’s supposed to be 4.5 and -5

dusk finch
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in that case, it seems like you were striving for sum of +1 while you should be going for sum of -1

gray hamlet
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no its not

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i just did quadratic formula its -4.5 and 5

dusk finch
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your sum has to be the negative of coefficient of x