#help-13
1 messages · Page 296 of 1
𝔸dωn𝓲²s
but it would be again some kind of ball or "mountain"
some spherical object
yea
the rest should do able
- notice y^4 = (y^2)^2
and so on
just draw the stuff
if it's in terms of y draw a y to x coordinate system
this works as my answer?
not a half
indeed
oop
ah yeah
how would i draw such a thing?
the higher AND still even the exponent goes
ther more it gets wider
do you get the idea?
i think so
so we graph x=y^4?
y^4 is a little less wider than y^8 that's all
yea
it's two radius
so common region!
then do we do x=-y^8
no
you fell into the trap
(y²)²
and
(y^4)²
remember the square!
It's R²(y) - r²(y) always
in the integrand
wot
😭
oh so we're graphing x=y^2
yes
and x=-y^4
𝔸dωn𝓲²s
that's why I did after all sqrt(sin(x))!
Is the minus part?
x=-y^4
Look at this
Well other way
But doesn matter technically
Since it's in term of y
Do it in terms of y
yeahyeah
on the x-axis?
lmao i drew it the wrong way
i guess not the "wrong" way, but i meant to draw it in terms of x
No
It's right
Just this
Now what is this solid looking like
Around the y-axis
lmao
i see what it would look like if i rotate it around the y-axis
it's like half a football 💀
yeah that's the right word
This could be misleading thinking it's around x = 1 but it's about x = 0
Draw it in terms of y man
It was not difficult
I meant you to just add what I added
Not draw it into a x to y system
😭 my brain doesn't function when it's like that
im bound to make mistakes when i draw it in terms of y
Ohhhhhhh
I cant seem to find any
You did it flawlessly
STOP OVERTHIBKING
lmao
The rest is doable
🥱
Since axis of rev is vertical
r < h
yeah
my brain is not braining
right
,,y = \frac{h}{r-R}x + b
𝔸dωn𝓲²s
Now we would plug in (R,0) since it's simpler
,,0 = \frac{h}{r-R}R + b \iff b = -\frac{h}{r-R}R
𝔸dωn𝓲²s
So
𝔸dωn𝓲²s
Ok good
sure lol
what do i do?
Try to solve for x
$x=\frac{y(r-R)}{h}+R$
Someone
is that what I needed to do?
We would get this shape
Ok good
so that is the answer?
Square it
ah yes
𝔸dωn𝓲²s
Yeah (it's 6 am)
okay okay okay
Since R > r then r - R < 0 so the slope is negative makes sense
NO
wot
I need to sleep
yesyesyesyes all good
thank you thank you thank you thank you thank you
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how can i do this?
step by step
Can anyone solve this elaborately ? Step by step completely
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ohh ok I didn't see my bad
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How do i find d^2 * z of function z=tg(2x^2 - y)
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@twilit crag Has your question been resolved?
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For #3 the answer is C and I was wondering why
,rotate
@frozen pier Has your question been resolved?
<@&286206848099549185>
im assuming yeah
ok so
do u know tht moment of inertia is maximum along perpendicular to plane of sheet?
no i didnt really know that
ever heard of perpendicular axis theorem?
yeah we did that in this test
yea wht is tht?
actually i think it was parralell axis theorem
id assume its just the parallel axis theorem but for the perpendicular axis
nop
oh okay
okay
ok so assume u r rotating it along z axis
the paper's center is at origin
@frozen pier mhm?
oh yeah im following
okay
so the moment of inetia
along z axis is equal to moment of inertia along x and y axis combined
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Two teams A and B play games until one team has won 4 games. A tie does not exist. The probability of A winning is 0.7 if it plays on its own field and 0.3 if it plays on the opponent's field. The first two matches are played on B's field, the next three on A's field and the last two on B's field.
(a) What is the probability that A wins after 4 matches?
(b) What is the probability that A wins after 5 matches?
,rotate
so I choose one position out of the 2 where they lose on the opponents field and then if they would’ve lost on their own field
And I calculated it and got 0,18375 but answer says 0,17052
it’s for b
2*0.7*0.3*0.7^3 + 3*0.3*0.7^2*0.3^2
let me try
and what did you do?
@heavy crypt i got 0.17052
what did u do?
wait a min
20.70.30.7^3 + 30.30.7^20.3^2
u did this right
uhh
did you exclude the case
where the first 4 games are won by a
and 5th is won by b
??
ah
you shouldnt take this case
since the game would be stopped when a wins the first four games
since it is given that a wins only after 5 games
how did i take that tho if i say that out of the 3 competitions on the second field one of them is a loss?
i didnt understand you
the 3 competion cases are these
3rdgame 4thgame 5th game
A WON A LOST A WON
A LOST A WON A WON
yeah but what about the first and second game because if you lose the first one and then win all the rest
then you won after five matches
same for the second game
YES
im saying first 2 cases of ur answer are right
the answer should be
2 * 0.7 * 0.3 * 0.7^3 + 2 * 0.3 * 0.7^2 * 0.3^2
ur welcome
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I know how to solve this equation, but, how would I come to the results of k = 5 and l = -4?
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3x +(y^2)i = 1-2i^2
why did you think it was 1?
Yes, but is there any more context?
What are x, y?
Just real numbers?
y is complex i assume
oh yh I didn't see the ^2, that's right
Assuming that x and y are both reals, yes
if y is real, then y^2 is real, so (y^2)*i is purely imaginary, and 3x is purely real, then what you've done is right. But if y is complex, then y^2 is complex (real and imaginary parts) so then no you're not
what would be value of x then?
1 is correct, as you said
write $y = a+bi$, then $y^2 = a^2 - b^2 +2abi$, so $iy^2 = -2ab + i(a^2-b^2)$
lgkoo
^ this is in case y is complex. Whether it is or not should be stated in the exercise
it wasnt
you just said it is 
I would assume both x and y are real
same
then y is 0 and x is 1
yah
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This question
<@&286206848099549185>
physics wallah nice
Now tell the the solution
whatve u tried
I have tried many things but they are not even close to reaching the solution
I tried taking constants out, taking uat+2 as x
Im not clear with u substitution
I have no idea
I watched Khan academy u substitution videos where they take certain things as x or u, but didn't really get the whole concept
wait whats the upper bound on the integral
Its option 4
I know but how
!nosols
As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
Just for clarification, this test took place yesterday in offline mode, I'm not cheating in test or homework
What's the reason tho
Who cares bro !
@hazy aspen sorry i havent been able to reply , internet issue
haha ya its just a bot
If you can visualise you would know the answer in one step
why do you think?
How do you know what we have to take as u or x
dm karu?
Theek h
@crimson sedge yeah bro can help better i think
hey again
I WNT A HELP
@broken pond can i know what help you wnt
@broken pond bro gave this name after watching The Devil Consipiracy, im 101% sure
@lilac rune hi
CAN ANYONE TELL THE PYTHAGOREAN TRIPLET WHOSE ONE NUMBER IS 12
5 12 13
Oops sniped
Huh it's well known
12 35 37
NO STILL WRONG
12 16 20
When the majority says the wrong answer , it becomes the correct answer.
NO
No === yes
bruh whats the answer then?
THE CORRECT ANSWER IS 9,12,15

^
@broken pond i hate lucifer
@hazy aspen Has your question been resolved?
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can anyone possibly help me with biology?? idk if thats the right serv for this but i need help with punnett squares
is this a test?
no its homework
no-
damn we got biology in a math server before GTA 6
better learn that first then
this is sort of maths
it;s kind of logical
combinatorics
yeah

we don't give out answers on this server
oh
we guide you to the answer
so you have to know what you're dealing with, so please learn what a punnet sqaure is first
i see ty for tryna help tho
and alleles too
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Can someone explain to me how to do a double integral with a ring behind it over the surface area of a sphere?
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Can i do it simplier then just .(x-1)(x+1)(x-2)?
You mean for solving for x?
Like can you do it simpler than clearing out the fractions by multiplying by (x-1)(x+1)(x-2) on both sides?
yes
There might be shortcuts here and there but none come to mind to me off the top of my head.
Clearing out fractions is sort of the most common trick since it works in a large variety of situations.
but in this example where there are more than one of those numbers, i can just multiply it with one of them?
for example there are 2 underlined red Xs, but i will just use one
No in 99% of the cases
The point of multiplying is to get the euqation in the form of a polynomial, which is easier to solve
The teacher who made the problem had an polynomial, done partial fractions, gave them to you
they want you to undo that
if you know what partial fractions are
I should have said, he factored the polynomial, and divided by some factor
but all you need to know is that there is no "tricks" other than multiplying to get rid of fractions
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i dont understand
Well it wants you to say something about it's velocity
What is the velocity of a particle?
and how the velocity behaves
Given its position.
so how would you go about finding the velocity?
yeah maybe dont answer it straight up
alright
yes remove that
waht is going on
What is the velocity vector given a position vector
velocity is undefined, position is t = 1
Do you know how to get velocity function from position function?
No it's not
why
...
hold on
basically
i need to plug in 1 into position, and plug in one into veolocty and then see if they match signs
yes ?
yeah so plug in 1 to velocity
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hey
im confused for this question why they included the y axis of (4,2k) as it not needed
did you find $$\frac{d^2 y}{dx^2}$$ regardless?
violet
in terms of k? (and x, of course)?
ye
I guess you just plug in 4 for x, should be done
they just like to throw it in for no reason. The end.
not sure, it doesn't serve any purpose, the fact is, if you put x = 4 in the original curve you get y = 2k
so yea
"for completeness", i suppose
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what is the relation between metric spaces, linear vector spaces, and normed vector spaces? are there theorems that connect them or similar versions of them in each of these spaces?
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if you need help doing the commands and finding them
but sampling distribution has a known distribution given population stdev
so it would be 18/sqrt of 61?
i think i got that
that's not the population standard deviation
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@brittle frigate Has your question been resolved?
Remember doing that in my 10th grade it's pretty easy
The dominant trait takes over recessive trait
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If you take the base to be 34
What will the height be ?
wdym
im start the drawing like this
but idk which side to put the mumbers on
Draw one of the sides flat with the ground
?
Then doit
But that just finds the angle
But the angle can also be 180-sinC
And that applies to all of them doesnt it
And i can also use cosine law to find the length of the other side
Wait but since that since is the longest side
Then the angle opposite that side
Is obtuse
Oh!!!!
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@slate garden Has your question been resolved?
Basically just sub in y=kx
Use the discriminate
But the answer says
K=0 is also a solution
yup
when u apply the condition on discriminant
you will get D >= 0
so k = 0 will satisfy as inequality will be satisfied
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in integrals with the partial fractions descompositions
is the same to say
$\frac{A}{(something)} + \frac{Bx + C}{(something}$
and \newline
$\frac{Ax+b}{(something)} + \frac{C}{(something)}$
Juan
thtats the same thing?
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reduce fraction
notice that $a = (a^{\frac{1}{2}})^2$ and similarly for $b$
lgkoo
so a and b should be viewed as smth squared
but in the end the answer will be sqrt a + sqrt b
yeah that's right
wait, do you understand how this clue helps with the question first of all?
not really
ok, so since the question has a^(1/2) and b^(1/2)
the best thing to do is to re-write a as (a^(1/2) )^2
so that we have
$\frac{(a^{\frac{1}{2}})^2 - (b^{\frac{1}{2}})^2}{a^{\frac{1}{2}} - b^{\frac{1}{2}}}$
lgkoo
yes I understand this
but I don’t quite understand how this helps
now to make a substitution, say x = a^(1/2) and y = b^(1/2), and see if you spot anything
x^2-y^2 / x-y = x+y
a^1/2 + b^1/2 ?
lgkoo
sqrt a?
yeah
oh I understood everything, thanks for helping, I didn’t see it until the end
np
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Is this possible to factor without a calculator? I'm not concerned about the inequality rn, just want to factor that quartic
you can first use factor theorem to check for zeros of the polynomial, and then use long division to factorize it
interesting, lemme try
Is there any other way?
I'm trying comparing coefficients, with multiplying 2 quadratics with unknown variables, but that seems ways too lengthy
i tried x=-1
did you get 2 as a remainder?
4(-1)⁴+4(-1)³-3(-1)²-4(-1)+1
=4-4-3+4+1
=2
its -3
nope
not +3
oh
-3(-1)² = -3
mybad
yeah np
haha
yea, it's 2
time to try some more interesting
4(1/2)⁴+4(1/2)³-3(1/2)²-4(1/2)+1
=1/4+1/2-3/4-1/2+1
=1/2
hmmm
for 1/2 I got -1
ohhh
my bad
what's the method,
i will look for similarities for the ⁴,³,² terms and ²,¹,⁰ terms
4x⁴+4x³ and -3x²-4x are a little bit similar, so I'll try to construct 2 terms and try to make them similae
but it doesn't seem to work...
This is kind of annoying me, let me put it into desmos and see the x-intercepts
sure
interesting
but like, not like 1/2, 1/3 or 1/4
Are you trying to factor over what
don't think they can be represented as fractions
time to do the xy
?
!xy
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.
interesting
doesn't really give much more information
You do not factor the second one
Doesn’t look like you can do manually, unless i am missing something, let me check the solutions quickly
Doesn’t look like
Give me more time
It is the solution
I was thinking about trig sub but i cant find which one
Or maybe a subtitution that eliminates the cubic term
Yep lol
approximate solution is x in (-inf, 0.226) union (0.852, inf)
@hoary parrot this doesnt have a nice factorization unfortunately
Like x=2cos(h) maybe
i assume the last plus is supposed to be a minus
hmm i havent seen trig subs in polynomial inequalities yet
Maybe separating x^3 +3x^3 and -x -3x
it makes no sense for trig sub to be the intended approach here when the previous sub-problem is directly factorable
(and judging by the answer wolfram gave it also most certainly doesn't work)
Yes i assumed it was probably a typo before but i am now in mode einstein lol
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Let there be 2 positive real numbers $x, y$ such that [
2(x^2+y^2+4)+\log_{2022}\left(\frac2x+\frac2y\right)=\frac12(xy-4)^2
]
Calculate $\frac{y}x$ as $x+4y$ reaches its minimum
not sure what to do tbh
@coral jewel Has your question been resolved?
Id consider writing in terms of x + y and xy only
since you can AMGM between those
and get a relation for x + 4y
amgm?
[ \f{a + b}{2} \geq \s{ab} ]
Sadie Carnot (η > 1)
,w expand 2(x^2 + y^2 + 4) - 1/2(xy - 4)^2
this is straight up just 2(x + y)^2 - 1/2 (xy)^2
naively if you just want to satisfy the condition
[ 4(x + y)^2 = x^2 y^2 ]
and minimise $x + 4y$, you're just looking for
[ 6(x + y) = 2xy^2 - \f12 x^2 y ]
completely ignoring the log term
rearranging gives something like
[ 12(x + y) = xy(4y - x), \quad 2(x + y) = xy \Implies 6 = 4y - x ]
,w 2(x + y) = xy, 6 = 4y - x
,w 2(x^2 + y^2 + 4) + log_2022(2/x + 2/y) - 1/2(xy - 4)^2 where x = 6, y = 3
its actually on the curve
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for the last question how come its 1-300/630
$P(X \ge 1) = 1 - P(X=0)$
Akuma
630 is explained in (I), 300 is explained in the last question.
burt 330
ermmmmmmm
you asked for 1-300/630, 630 comes from (i), 300 is explained here:
naur i asked why its that
why do we do 1 - subtract dat
the probabiltiy having at least one anniversary card = 1 - probability having no anniversary card.
ohh
ohhh
u are right!!
thank u
.close
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Hi everyone
Currently reading about matrixes and well, I am struggling a bit about when they're not quadratic and what their properties become then
The questions we get is in the form of if you have a matrix A where m < n, which of the following statements are guaranteed to be true
and then for example the rows in A are linearly independent so that the equation Ax = y for each y that is a real number there's always at least one solution
Are there any good resources online to get familiar with this? I feel like our textbook just isn't.. comprehensible enough
If it's about quadratic matrixes then I feel a lot more comfortable, but I think I struggle with knowing what it means to have for example 3 rows and 2 columns
is it that you have 2 vectors in R^3? In which case they can never be a base, so then you wouldn't be able to get all y in R^3
and then in this case, if it's that m < n, that means we have 2 rows and 3 columns, in which case we'd have a linearly dependent vector in r^2 from the columns
would just like to ask for some guidance on where to find resources that explains (preferably visually) in great detail how to treat such a matrix xd
i think what makes me confused is that im not sure if I can treat the rows AND columns as vectors / planes or what is going on :/
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Is this correct?
@stuck solstice Has your question been resolved?
@stuck solstice Has your question been resolved?
@stuck solstice Has your question been resolved?
Yeah that's right
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hola
i’m not quite sure how we could sketch the points MN and NX seen in question 20. could someone please help with this?
<@&286206848099549185>
@autumn nebula Has your question been resolved?
hey
wyd
WHATS GOOD
nun
i need some help
let me check
aight bet
what
idk we just have to do 20
i’m not even sure
what to do
idk how to really sketch points
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idiot
.reopen
<@&286206848099549185>
[make sure you reply to the bot next time it asks you, with ❌]
GOD PLEASE
HELO ME
HELP ME
ILL DO ANYTHING
I Locs you
CHARTBIT PLS HELP
It just says
sketch the figure
described
What's the examples 3 and 4?
it’s not related to it
like at all
how do we usually
sketch these type of ooints
@cerulean sail
sorry for the ping
u said to ping tho in ur bio
I did 
And I really don't know what they're looking for tbh - that said, why to they say you should see those examples if it isn't related(?)
Idk
<@&286206848099549185>
please…
i can’t
May I see the example 3 and 4?
Alright lol
@gleaming imp have you seen the examples
?
this is my other acc btw
honestly i think im just gonna quit
i cant keep waiting
Ok so
for exercise 17, you can simply draw a plane (denoted as P) and a line (denoted as l) intersecting at any point on the line.
sorry i forgot to say that
mb
oh wait
i did
this was my attempt for 20
idk if that’s right
nah i dont think so
oh
I believe you have to draw two vectors, MN and NX
with thir tails at the same initial point
wwhich is M
how do we do that
just draw one vector on top of other
:))
---------->
Exactly
no...
so wait
MN> and NX>
u want me to just draw
right?
a parallel line
Okay
a point
oh
Yeah
And u don't plot the point labels on the line btw, On either the arrow or starting point
Bruh,no

