#help-19
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second time
Nami already took care of the cause, see hlounge @mystic saffron
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im almost done with this question I am just confused on what to set n in the question that fufills the natural numbers rule of s.
so far i have plugged in the distance formula between (1,0) and (1/n + 1, 1/n) and i have gotten n = sqrt2 / epsilon
but because natural numbers can't be fractions of course i am having trouble defining an n that is a natural number that works for all epsilons
how do you mean?
so to find a 0< d(P, Q) < epsilon i plugged in (1,0) for P and Q as the coords for S
meaning 1/n + 1, 1/n
(I really think you want that to be n > sqrt{2}/eps rather than the equality that you said)
I see so something like floor(sqrt(2)/eps + 1)?
sorry for the bad explanation my brain has been running in circles
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can someone help?
what do you need help with
brother, u took a video of your entire test and expect someone to do it for you?
its a study guide, the wording on the top is wrong, as well I was broad, I meant to say that I needed help with turning bisector based on the angle
oh really
mainly numbers 3,6,7 are confusing
"this test replaces your lowest test grade"
oh really
re read my test
Do u think people are born yesterday?
i just needed help
What have you tried?
show your work
"my dog ate my hw" head ahhhhh
ima be honest
you aint fooling us man
If you didn't lie the first time, we would have helped you out, but it's haram to help a liar.
it is time to turn a new page and live an honest life
suffer the fate of this exam and live an honest life after this
I agree.
Cheating is haram.
I agree.
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how does 1/costheta - costheta = (1-cos^2theta)/costheta
Multiply cos theta by cos theta/cos theta
\begin{align*}
\frac{1}{\cos \theta} - \cos \theta &= \frac{1}{\cos \theta} - \cos \theta \cdot 1 \
&= \frac{1}{\cos \theta} - \cos \theta \cdot \frac{\cos \theta}{\cos \theta} \
&= \frac{1}{\cos \theta} - \frac{\cos^2 \theta}{\cos \theta} \
&= \frac{1 - \cos^2 \theta}{\cos \theta}
\end{align*}
OmnipotentEntity
@chilly bridge ^ does the above help?
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can someone help me understand how i get 875
invNorm(0.975, 845, 15)
ph
what
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can aynone help with this?
the first
u tell me 😭
No that’s not how this works my friend
I know the definition
I guess you’re telling me you don’t?
That’s okay
But I want you to find it
In your notes or textbook
Can you do that for me?
there is exist a lower and an upper bound ?
yeah exactly
a precise way to state it could be there exists a real number b such that for all x in A |x| <= b
can you find a real number that bounds the set {xy : x,y in A}
ohh
can i
if x <= b
and y is also in A
so y <= b
x times y <= b^2
sothere is a bound
yeah thats pretty much a proof
is that it
the only thing is use absolute values
or be careful to define upper and lower bounds
np
may u enlighten me further ?
for any X there exists and n in N ]
or whatever natural language youre most comfortable with
i assume english
since the problem is in english
the best way it to add a "such that"
i know that usually you translate : as such that
but
its also good when connecting an existence statement
so i would read it as: For all x in R There exists a n in N such that for all y in R x^n = y
ahh
do you think its true?
ill pause this question for a second but
what if there was a 4th
lets say z in R
is it for all or there exists?
any Z in R
then just say there exists n in N such that for all y and z in R
you would jsut combine them in english
but you wouldnt combine tehm in the FOl language
youd still write A y in R, A z in R
but shorthand notation is allowed
i would write A y,z in R
hmm
where A is the for all symbol
and in is the little e symbol
theres technically a very formal approach
but math proofs are about convincing other mathematicians that your logic is sound
it doesnt matter really unless youre treying to do automated proof on a computer
then the syntax has to be very particular
you'll learn to write proofs and youll develop idiosyncrasies
i have my introduction to analysis final in a bit hahahah
this is analysis?
it seems you maybe are cramming then
best of luck tho
im surprised you didnt do a proofs class or discrete maths first
NOPE
its whatever
first i would suggest negating the statement
let x= 0 and n any N
do you rememebr how to do that?
you have to reverse every sign or smth
yeah that would work perfectly fine
yeah so thee exists become for all and for all become there exists
and you have to prove tehya re not equal
Ex in R and any n in N such that Ey such that x^n is not equal to y
so there exists x in R such that for all n in N there exists a y in R where x^n != y
E = exists
hmm
that's all you need to prove that its false
okay got it i think
i understand the 3rd one now too i think
i will try and make this question with my newly acquired knowledge
Completely wrong or?
uhhh
not completely wrong no
but some erroes
errors
you didnt define m
you dropped the absolute value
well actually
nvm the abs isnt even needed at all because you know that x and y are positive
so jsut be careful that you define m and dont reuse b
and it looks fine
Now?
i would have just done there exists a u in R
idk what you mean by u in B
its probably fine now
i have to go
Cant you correlate u being in B1, which implies it being in A1, which implies x,y in R
Okay thank you so much for your help
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Hello
Not sure how to start
you have two equations with A, substitute the first into the second
wdym two equations?
in the last line
What does A[3, 2, 1] mean?
is this a uni linear algebra course or highschool
Do you understand what A is?
A multiplied with [3.2.1]
Uni line alge
just started? (not to sound condescending)
Yes
Retaking 💀
Ok then write it out
[(2, 1, 3), (-1, 4, 1), a_3]
Ok, pick some variables for the components of a_3
x_1, x_2, x_3
then just do the matrix-vector multiplication
Yes (this is Ax = b)
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I see that B is the right answer why? C is smaller than 0
And a should be equal to or lager than 1 because it opens upward
!status
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
3
the rhs would be -4 correct?
notice how any real number when squared would give a non negative number, so it must be subtracted by some ammount to get -4
if c<0 then it would be added by some ammount instead of subtracting, making it impossible
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if we start by proving the statement "K is compact relative to Y if K is compact relative to X" then cant we just say that this statement is clearly true since the finite subcover of K contained in Y is also contained in X
@eternal sorrel Has your question been resolved?
<@&286206848099549185>
roger
gol d
do you know a bit of topology ?
no in math
i am 18 but i learn higher level math because i am interested in it so i deepen my knowledge in math and have fun at the same time
oh glad to know that
if i had time, i could do the same thing but
i have to prepare for competitive exams
jee mains and advance
so yup
ohhh nice
yess
im going to do it when i join a college
gl i hope you ace in these exams
thankss
you are going to major in math?
.. i dont quite get you
i think, yes?
either way i would study math
ohh good to hear that
yes and the process of thinking needed is something else
it is so fun even when you struggle to solve a problem or understand an idea XD
anyway if you want i can explain to you a bit about what this means
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isnt any subset of a compact set compact?
let K be a compact set and let W be any subset of K, since K is compact then there exists a finite collection of open sets {G_i} with i=1,2,...,n such that K is a subset of their union which also means that {G_i} is an open cover of W and thus W is compact
so why would the author talk specifically about close subsets of K instead of any subset of it
Well, compact is the generalization of closed and bounded in Euclidean space, right?
So what if we have the following set in R: [1, 4]
And then we have the following subset: (2, 3)
Clearly this is a subset, but it isn't closed, therefore it is not compact.
ohh yes i see i just proved that every compact set is closed and forgot about this fact the instant i hopped to try proving this theorem 
thank you so much for your illustration
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but can you please point out the mistake in what i said above
here
<@&286206848099549185>
?
That's not the definition of a compact set
You'd need to show that every open cover has a finite subcover
Not that there exists a finite open cover
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Write 𝑇(𝑛) for a triangular board of side-length 2n which is subdivided into equi-
lateral triangles each of side length 1. If a triangle shares one (or two) of its sides
with the large triangle, then it is called an edge triangle. If it shares two of its sides
with the large triangle, then it is called a corner triangle. A (triangular) triomino is a
tile consisting of three adjacent triangles.
d. For which n is it possible to tile the remaining board with triangular triominos after
any (one) corner triangle is removed from 𝑇(𝑛)? Provide a proof by induction.
e. Go to ChatGPT and ask it to prove that 7! − 2! is divisible by 5 for all positive
integers 𝑛. Print out the proof the AI produces, highlight the errors in the proof, and
explain why each error you identify is an issue.
@frail reef Has your question been resolved?
No
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Just a simple question, but convolving those two yields just h[n] surely right
x[n] is just several dirac deltas running from 0 to 5
so you are just sampling h[n]
nvm its not
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I need help on the first step which is getting common bases, I know how to solve the rest.
factorize 16 and 4
what after?
i got 2 to the power of 4 for 16 and 2 to the power of 2 for 4
So I assume you now have $(2^4)^{\f 13}(2^2)^{\f 13}$
krypton
yes
right so $(a^b)^c = a^{bc}$ for $a > 0$ and $b, c \in \set R$
krypton
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can some help me with radical in maths im in the 8 grde but pls in call****
Please don't occupy multiple help channels.
hi?
Like the bot said, don't open multiple channels
how?
other one was already closed
I closed the other one, continue here
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i need help checking 4 Questons
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ich brauche hilfe in mathe 8 klasse wurzeln
konntest du auf englisch fragen
ah nein frag einfach auf deutsch
if muss mein deutsch üben
nein sorry
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I need help
post what you need help with
x is larger and equal to negative 3 and smaller and equal to 5
So I flip the sign?
also its not asking for the range and only the domain so 0<=x<=6 would not be needed
-3<=x<=5
domain is for the values of x while range is for the values of y
I need help again.. ☹️
whenb its a cirlce instead of a dot
that means its not equal to the value'
so remove the equal sign
Ohhhhn Tysm!
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Why is this not also 1 as a restriction? Also if this was vice versa, like g(x) was f(x) and yeah, then would it have two restrictions (IF SOMEHOW the end result was still 1/(x+2)^2. So that means that only the one inside matters like f(g(x)) for restrictions and the final f(g(x)) as a whole. Not the f(x)'s restrictions by itself?
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What is area of line EF when there's square ABCD and area of lines are AB=9,AD=12,AC=14
can you show the original problem
lines have no area my man, please send original problem, i guess you want length
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fish
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?
is the answer 2?
you already have the values for AE and EC just make an equation you will get EF once you subtract EC from AF
But area of line AE is unknown
you know the values for both AE and FC; angle bisector theorem
i got 2 from using sine and cosine rule
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I tried to get area of BE by $◿ACB=129/2 then 129/2/14 = BE$
아리스킨충1
Compile Error! Click the
reaction for more information.
(You may edit your message to recompile.)
$\triangle{ACB}=12\ast\frac{9}{2} then \frac{12\ast\frac{9}{2}}{14} = \overline{BE}$
아리스킨충1
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Use angle bisector theorem
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DC=9cm이므로 내각이등분선정리에 의해 AF:FC=12:9 이고
비슷하게 ABC에서도 내각이등분선정리 사용하면 정답 ||2|| 나옵니다
그리고 질문 전에 AI 사용하셔서 제대로 번역해 주시면 더 빠르게 답을 받을 수 있을겁니다
@dense stone Has your question been resolved?
Math 😭
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@dense stone Has your question been resolved?
혹시 수능 보시나요?
한국어 할 줄 아세요?
저는 대구에서 태어났습니다.
열일곱 당신은 어떻습니까?
멋진
님은요?
me too
지금 그게 문제가 아니라 내각이등분선정리가 뭔지 모르겠음
WHAT THE HELLL IS THIS LANGAUGEGEGE
korean
WTF ARE THESE HIEROGLYPHS?!
its korean bro
its for smart people
u don't need to know
🙂
korean
yes
how did this turn into language class
알겠어요
yeah
taehyung stans spotted
This thread is so dumb lol
wtf lmao
mhm
bye what
hello
지금 이게 무슨상황임
몰루
이 공식 쓰셈
JAJAJA
I didn’t think there were people on the internet that didn’t know Korean existed 💀
Translation please
Goooogleeeee
i luv orange cats
A thought doesn’t go through its mind
It just stares into space and then sleeps
그게 정확히 두개가 겹치지만 짧은쪽인 부분의 길이만 남기는건 아닌것같아요
Lmao same 😭😭
9:12=x:y,x+y=14 로 놓고 하나라도 구하려고 했음
그랬더니 x는 6이나왔고
그럼 BE=FD=6 이여야하지만 그와동시에 x+y=14가 아니라서 이상해짐
BE를 x,FD를 y로 놓고푼결과
조건이 이상한건지 방정식을 틀리게푼건지 모르겠어서 더 복잡해진거고
Are you sure its not chinesse
Its Korean you can tell because of the eclipses
비례식이니까 9:12=x:y를 12x=9y로 바꿀수 있잖아
Korean: 이건 한국어입니다.
Chinese(Used in mainland): 这是中文。
Japanese: これは日本語です。
네네
is there a korean dude out here to translate this i lost my korean doulingo streak yesterday
그러니까 💀
그렇게 쉽게 안풀림
난이도 중인데 뭔소리냐
you mean ellipses?
.close
Ya
결국 값을 구하긴했는데 뭔가 이상함
뭐나왔는데
BE=FD=6
newjeans spotted !
💀
이분 원래 전부터 중학교 기하문제 간단한거 갖고 1달씩 끌고 그러셨음..
전에도 말했지만 개념을 정확히 되짚고 다시 풀어보시는걸 권장드립니다
처음부터 공식을 알고있어야 한다는거부터가 전혀 간단한게 아닌거같은데
?
공식을 이해하고 알고 있는게 수학 문제 풀이의 기본인데요
그 공식을 제대로 이해하고 적용할 수 있는지를 보는게 중학교 수학 문제인데
그리고 보통 중학교 수학 문제집 보면 문제 나오기 전에 그 문제들을 풀기 위한 개념 설명을 할텐데
그거도 안보고 푸시는 건가요
K-잼민 미치겠다
молоко я люблю тебя да
공식도 외우기엔 너무많은데 그거까지 외우는건 거의 불가능임
하...
Don't memorize it then. To be honest no one cares if you don't. It's your issue not ours, right?
Rules say English right?
@dense stone Bro just close the channel at this point
But I still don't know answer
I even used formula but seems like it has error
https://www.cuemath.com/diagonal-of-parallelogram-formula/ might help @dense stone
The diagonal of a parallelogram is the line segment that connects its non-adjacent vertices. Learn more about the diagonal of parallelogram formula with Examples and FAQs.
you know x, y and the diagonal, from there find the angle
after finding the angle just complete the triangles with sine rule and whatnot
ㅋㅋㅋㅋㅋㅋ
Do I need to use triangular function to solve this
공식을 완벽하게 익히는 것이야말로 이 단원의 문제를 푸는 데 정수 ― 혹은 그 이상 ― 입니다.
이 단원은 특히 공식을 외워 쓰지 않으면 ― 대부분의 경우 ― 푸는 데 시간이 오래 걸립니다.
특히 도형은 공식 기초를 다져 놓고 풀어야 풀기에 수월합니다.
물론 공식을 외우지 않고 풀 수도 있겠지요. 안 될 건 없습니다.
하지만 그러면 시간이 너무 오래 걸립니다. 시간 제한이 있는 시험에서는 아주 힘들겠지요.
암기하는 데 어러운 점이 있는 것은 이해합니다. 저도 그랬고요.
한문장 요약: 공식을 익혀 풀자.
그럼 이것도 공식없이 푸는게 가능한거였음?
gaesaekki is the only word ik in korean
이론상 님이 매우 머리가 좋으면 가능합니다
근데 그렇게 푸는게 님이 공식을 직접 유도해서 푸는거랑 별반 다를게 없음
결론적으로 어떻게 이 문제를 풀든 결국 님은 문제를 풀기 위한 공식을 사용할 수 밖에 없어요
머리가 좋아 공식을 모르고도 푼게, 실상은 님이 직접 공식을 알아낸 것이기 때문이죠
근데 님이 직접 유도를 할 정도로 머리가 좋지 않다면 다른 머리 좋은 분이 직접 유도한 공식을 이해하고 써먹을 수 있어야죠
그게 초중고 문제 풀이의 기본입니다
저는 그렇게 생각해요
이 상황을 빗대어 생각해보죠
님이 높은 나무에 위치해 있는 사과(문제)를 따고 싶다고 다른 분들께 도움을 요청하는 상황인데
여기 계신 분들은 사과를 따기 위해 사다리(문제를 풀기 위한 방법, 혹은 공식)을 사용하라고 조언해주고 있어요
근데 님은 지금 사다리를 들고 오기 힘들다고 싫다면서 사과를 따기를 요구하는 거에요
이러면 조언을 하는 저희 입장에서는 어쩌라는건가 싶어요
높이 있는 사과를 따려면 사다리가 필수적인데, 그걸 안들고 오겠다는게 말이나 됩니까
다른분들 생각은 저랑 다르거나 비슷하실 수도 있지만 제 입장에서 살펴본 생각을 얘기해 봤습니다
그래서 이분 말씀처럼, 적어도 질문을 하기 위한 기본(공식 알아오기)은 해와야 질문하세요
기본이 안된 상태로 질문에 대한 답을 해봤자 님은 이해하지도 못하고, 저희도 답답해요
저분도 비슷한 맥락에서 그냥 채널을 닫는게 낫다고 하신것 같아요
damn longest time i seen a channel alive for
if you wanna learn a formula you can just understand it, that way it will take to it more kindly
in my class the teachers always makes us derive the formulas
also you could you translate to english so more people can help
as a lot of people here do not speak south korean
비유 대박 👍
그냥 지가 공부 안하고 징징대는거지 뭐
ㅋㅋㅋ
위에 읽어보면 ab/ac=bd/dc 증명 있을걸요
가장 중요한 건 보내주신 문제 자체에서 어떤 방식으로 풀라고 특정 짓지 않았다는 거에요
공식 쓰면 뒤지는 병이 있어요?
중학 수학은 어렵고 답답하다? 그 고민, EBS 수학의 답으로 시~원하게 타파!
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EBS 교재로 내...
영상도 있어요
이제 알았음
드디어!
이름(아리스킨충)을 보니깐 롤 좋아하시는 것 같아 윗글의 내용을 조금 이용해 추가로 롤에 비유해 설명해 보겠습니다.
우리가 라인전을 할 때 상대 챔프를 보잖아요?
우리는 그 상대 챔프를 보면서, 그 스킬을 생각하면서 라인전을 합니다.
만약 내가 상대 스킬을 모르면 라인전이 힘들고 계속 죽겠지요
그러니깐 우리는 상대 챔프를 잘 모를 때 인터넷이나 유튜브에 검색하잖아요
이처럼 수학도 똑같습니다.
수학 문제를 풀려면 그 공식을 알아야 풀기 쉽고 없으면 풀기가 어렵습니다
새 챔프가 나올 때 우리가 스킬을 찾아보는 것처럼 수학 공식도 만약 새로운 개념을 배웠을 때 우리가 공식을 알아야겠죠
하지만 이런 생각이 들 수도 있습니다
"그냥 스킬 몰라도 하다보면 저절로 익혀지는데?"
맞습니다, 하지만 공식을 쓰지 않았다고 생각하기엔 바르지 못합니다.
그래서 이긴다 해도 결국 그 챔프에 대한 파훼법(공식)을 스스로 깨달은 것이죠
하지만 그만큼 똑똑하지 않아서 (혹은 다른 이유로) 그 챔프에 대해 파훼법을 스스로 깨닫지 못한다면
유튜브 같은 곳에 잘하는 사람들이 올려 둔 영상들을 찾아서 봐야 알 수 있습니다. 당연한 것이지요
만약 안 그러면 사람들이 왜 자꾸 죽냐고 욕합니다. 특히 랭전에서는요
수학도 마찬가집니다.
질문할 때 최소한 공식 정도는 알아와야 사람들도 친절하게 알려줄 수 있고 답답해 하지도 않겠지요
이처럼 공식을 외워야 풀기가 훨씬 수월합니다.
뭐임ㅋㅋ
디디 파티 같은 파티는 없지
Parallel lines will have the same slope, i.e., the same coefficients for y and x
And you should know that the slope-point form of a line of slope m and passing through (x1, y1) is y-y1=m(x-x1)
use both of those to find the answer
This is very simple. Find the height of the parallelogram.
Use the height and base as an orthogonal basis to get the coordinates of E and F.
Then apply the appropriate skew transformation and then find the distance between E and F.
I found BC:CE=9:AE but it is not enough
채널 안닫아요?
공식을 알아도 안풀림
BC:CE=9:AE 라는식을 얻긴했는데 더이상 방법을 못찾아서 막힘
AD = BC = 12cm
AB = CD = 9cm
||AF : EC = 4 : 3
AE : EC = 3 : 4
AF = AE + EF
AE : EF : FC = 3 : 1 : 3
14 × 1/(3+1+3)
2||
@dense stone
uh <@&268886789983436800> the rules say 'primarily english' so idk if this counts
sorry for the ping if nothing's wrong
is fine in question channels
이제 풀렸음
이제 채널 닫죠
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아직도 안닫힌거같은데
이거 왜이럼
.close
Cuál es el signo sigma?
아직도아님
lmao
그냥 아린스킨충1 님이 계정을 삭제하시는 게 더 빠를 듯
안녕하세요 도움이 필요하신가요
This is awesome<3
이, 이게뭐냐;;
안늉~
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Does the -2 in front of the three factors have an impact or not?
For the table of signes
,rccw
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I know how to read steam and leaf diagrams, just not how to get the interquartile range
from here

Merci, mais comment tu sais que je parle francais? Ah oui mais c'est aussi avec les nombres positives?

Sorry!
word up
can you find median? then Q3 and Q1?
Q1 = median of the minimum and median
Oh
Q3 = median of the median and maximum
im a bit confused
that was probably an abuse of words
consider this as a "new" stem leaf plot
50 is now the minimum and 64 is still the maximum
assuming you're correct
I wouldn’t trust me
find the median of this "new" set
ohk

Hi higher!
is it 57
57 is right
yay
so that's Q3
Then do the same for the first portion?
yes
yes
should be yea
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Anyone know convex optimization? I found a projection for a set S representing hollow sphere in n dimensions with radius 1, (norm squared of x = 1 for all x in the n dimension) which is x / norm x if norm squared x != 0 and any pt in x if x = 0, how can I show that if norm squared x != 0 then norm of projection of x minus x <= norm of y - x for all y in the set S?
@dreamy wasp Has your question been resolved?
<@&286206848099549185>
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I have a math final in five days and my professor gave us a preview on the questions we should expect, he told us the best way to prepare would be to make new problems based on the study problems we did in class so I wanted to get help with that here. I didn't want to try and make them on my own since I'm worried I'll create questions that are too easy and won't let me understand what's being asked of me. Could I get help in this channel with making practice test questions here?
try looking at your study problems and making variations on those
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yo
explain your steps
so from her
I got 2x for the first one
and then I was trying some product rule thing
after multiplying the four out
not product but qoutient
so I would get the [(0)(x^2)-(2x)(204800)]/x^2
and I simplieifed and took out the x
$x^2 + 4x \left( \frac{256000}{x^2} \right) = x^2 + \frac{4 \cdot 256000 \cdot x}{x \cdot x} = x^2 + \frac{4 \cdot 256000 \cdot \cancel{x}}{\cancel{x} \cdot x} = x^2 + \frac{1024000}{x}$
kaue
the second term can be simplified
yeah
alr thank you
three zeros tho
true
like him !
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What are the dimensions of a can that has a 0.5 leater volume
there are infinitely many possibilities, you need another constraint
10cm x 10cm x 5cm
thanks
bc 1 liter is 1000cm^3
Any can with dimension that satisfies ${0.5 = \pi r^2 h}$?
k
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i dont think it has one
if you perform polynomial long division i think you'll get the slant asymptote
just ignore the remainder term
(goes to 0)
in general for rational functions, we have three cases:
- if the degree of the numerator is higher, there is no horizontal asymptote
- if the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is the ratio of the leading coefficients
- if the degree of the denominator is larger, the horizontal asymptote is 0
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.reopen
✅
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can someone help me question ii
!status
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
i sent a screenshot with the start of what i did
Rotate \overrightarrow{AC} 90 deg. \overrightarrow{AC} \mapsto (-1, -2). Then \overrightarrow{AC} \dot \overrightarrow{AB}
i think we can see that I don’t have an answer and that ive gotten stuck
do you know how to find a vector perpendicular to q?
of course, since i is solved
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∀x∃yRxy→Pa entails ∀x∃y(Rxy→Pa)
is this a counter-model?
D={1,2}
a:1
P={}
R{<1,2>}
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I need help with these
what have you tried so far?
I think I got the first one with Y=0.3*x^2(x-2)(x+3)
But I’m so lost on the second one
ah okay, then just follow the same strategy as before
you have (x + 1)^2, (x - 2)^2, and (x - 4)
so you must have y = k (x + 1)^2 (x - 2)^2 (x - 4) for some real number k
I do but how do I get the y axis to 8
then you just sub in x = 0 and y = 8
so you can find k
Ok thank you
no worries!
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ew is that inverse
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.reopen
✅
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just integrate and take the absolute value?
Show your work, and if possible, explain where you are stuck.
so integrating 8t-3/2t^2
Or maybe you can recognize that is a uniformly decelerated motion
aaaaaaaaand how does that help
gives me 32t^2 - 1/2t^3
the t^3 term is correct
lemme do that again
no, c = 0
because at t = 0, the object is at the origin i.e. distance 0
idk wtf im doing
Oh sorry yeah that's velocity not the space
yep
Forget this @peak maple
I was completely wrong
yeah i didnt get it anyway
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i thought u said c is 0
idk 🙉
okay
i was thinking smthing about P being at origin as well
good
see the thing is
to isolate c
all the other terms must be zero
so you can set t = 0
but at t = 0 the object is at the origin (it's mentioned) so the distance is 0
i.e., x(0) = c = 0 -> c = 0
so you get x(t) = 4t^2 - 0.5t^3
now just set t = 4 and you're done
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someone explain me why this limit is indeterminate
its a cosine, so it probabilly oscillates
,w graph cos(pi*sqrt(x² + x))
,w graph cos(pi*sqrt(x² + x)) from 0 to 100
yeah
this is why i asked that weird limit in the other channel
this is the solution my teacher gave me
i wasnt really satisfied with wolfram ai's answer, so here i am
i don't think (-1)^n * cos(pi/2) goes to 0
nice
oh its pi
right
regardless of n
,w graph (-1)^n cos(npi - pisqrt(n² + n)) from 0 to 20
seems good.... one thing is not limiting the (-1)^n seems a bit sus to me
but wait a second, if n is large, we should be able to approximate it to the nearest integer
i dont get it
you're trying to solve for L given n->inf right?
something is wrong on the step 1 to 2, as the first oscillates and the other shrinks to 0
yes
,w cos(pisqrt(n² + n)) = (-1)^n * cos(npi - pi*sqrt(n² + n)) true or false
,w lim_{n to infty} cos(pisqrt(n² + n)) = lim_{n to infty} (-1)^n * cos(npi - pi*sqrt(n² + n)) true or false
i think the coefficient of pi and the n in the function are not the same
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@icy grove Has your question been resolved?
infinity + infinity is infinity
we cant find out the value of trigonometric functions in infinity
(EXCEPT when it approaches some value)
but it oscillates here
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hello
hi
Have you learned power of a point theorem? This should come in handy here I believe
tried it, couldnt manage
its cause i took this lesson months ago
and missed something and now i have to solve this thing and i forgot a bunch of stuff
do you know what x and y are here
I’m pretty sure I do
do u think u cn help
yes, first find x here
what?
You should first find what x is in the diagram
how can i do that
By power of a point theorem. Here is a link that gives some info and practice problems that use it as an exercise: https://artofproblemsolving.com/wiki/index.php/Power_of_a_Point_Theorem?srsltid=AfmBOoqfgB7oWe3cSlxAh9-Sau6FoZ-szh25WW2ja9L-3BDLbcGet1PY
notice that you have one line is a tangent and the other line is a secant. Then apply power of a point (aka pop) here
then once you find x here, you use pop again to find what y is
is x=9
no
thats what i came at with
yes
so x is 6.71?
yes
okay
