#help-23
1 messages · Page 8 of 1
yes
thats what i was trying to say
yes and thats a condition that must be met
so a must be greater than -2
exactly
what ?/
can u explain
.
it can be equal or greater than 0
still not getting it
if its equal to zero then it must be a root but the equation is strictly greater than zero
yes ik
so what should i do
but that is for $x\in(5, +∞)$
inf is infinity
but idk how to type infinity in latex lol
not for $x\in[5, +∞)$
ohhh
i see
at 5 it can be zero
but then how to solve it
😫
i want to know solutin
solution*
well we know for sure that a>-2
and that $b^2-4ac\leq 0$
kjmkty
yup yup
pls explain this one
and you wrote something smart which is f'(x)<5
i am bit confused
okay in order for an equation to have no real roots or only one root is that $D\leq 0$
kjmkty
no no <5
ik that
idk but ill still agree u
and $D=b^2-4ac$
kjmkty
yupp
yes
we have one condition as we previously said a>-2
yupp
the first case is that the equation has no real roots or one real root at x=5
so we said $b^2-4ac\leq 0$
kjmkty
yupp
in other words $4-4 \cdot (a+2) \cdot 1 \leq 0$
kjmkty
yes this
ya
idk how to calculate a using that second case
i mean i can try to explain it to you
and i have a picture in my head
tell me ill get the solution
ok so basically
the equation can have 2 roots, the greater one being 5
bc then the rule still applies right
maybe
but actually the root doesnt have to be 5, but it must not be greater that 5
idk how to visualise this
it can be easy to undertsand if you picture the graph right
i have pictured one in right side
f i am not getting it
yrr
i got it the answer maybe from (-2 , ∞ )
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may i get help derivate that ?
i want to get the maximum and minimum points
e^ax
@covert fiber Has your question been resolved?
U want to find dy/dx?
nvm
u will help tho 😅
@covert fiber Has your question been resolved?
@covert fiber Has your question been resolved?
Take the derivative of the function and set it equal to 0
@covert fiber Has your question been resolved?
I did but couldn’t solve it xd
Can you show your work?
@covert fiber Has your question been resolved?
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What's the best way to find the tangency point for a function if I'm only given a point which lies on the tangent?
I'd use tangent line formula and a line equation to make a system of equation then I'd solve
the function is x^3+3 and the point is (0,1)
So I write y-1=m(x-1) and y=mx+1
my way would be
let's say point of tangency is (c, f(c)) for some c
let's say the tangent line is y = ax + b
since tangnet passes through (0,1) we have:
1 = b ---> y = ax + 1
now from the tangent line formula:
y = f'(c)(x-c)+f(c) = 3c^2 * (x-c) + c^3 + 3 = x * 3c^2 - 3c^3 + c^3 + 3 = x * 3c^2 - 2c^3 + 3
now it's enough to compare ax + 1 and x * 3c^2 - 2c^3 + 3 to solve for 'c' then for f(c)
ah yes that formula, forgot about it
it's the same as yours, I've used m = f'(c) and f(c) instead of y coord
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yeah but cos(omega*t) is a horizontal compression of cos(t)
so its period is shorter
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I dont see where I went wrong. here is my working:
There isn't supposed to be -2
The question is about diagonalisation using eigenvalues and eigenvectors
@rigid minnow Has your question been resolved?
<@&286206848099549185>
What is gauss
I don't see how my working is wrong tho
row reducing
Do you see where my working is wrong?
no since imo your writing to get the vectors is pretty small
I'll take a closer pic
it seems you onoy used one row?
wdym
Oh, right. Yes, I was taught that I can solve using one row
I can choose any of the two, all based on preference
thats how i learned it
Strange because my vectors seem to work
@rigid minnow Has your question been resolved?
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@rigid minnow Has your question been resolved?
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Is this accurate? I don't know if I calculated everything right, do I count the bottom stem and assume it's 170?..... Or do I leave it out entirely?...
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That's all it has, that's the full page
What do I do with the bottom stem?
@placid raft Has your question been resolved?
Pretty sure it means there's just no data for that
Cause if there was 170, the leaf would be 0
Ah, so I can leave it out?
Yeah
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howww do i do this
The following cards are dealt to three people at random, so that everyone gets the same number of cards. What is the probability that everyone gets a red card?
anyone pls?
is 3/56 right?
<@&286206848099549185>
@patent vault Has your question been resolved?
but does order matter?
is that dealing three cards?
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Hi
@smoky shard Has your question been resolved?
Find the fraction of white circles and black circles, and add them together
uh but how
Do you know the fraction of white shapes
nope
The ratio of white to black shapes is 5:11
So if you had 5 white shapes, and 11 black shapes, it would satisfy that ratio
When you have 5 white shapes, and 11 black shapes, what fraction of shapes are white?
but how do i convert that to circles
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you can make it so there's only one x on the bottom
Toby
use the quotient rule
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!15m
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Show exactly what you put in
Am dumb
I mean your r's do look like y's
I thought it was γ 👀
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confused what the difference is
f(x) + 3 = f(x) - (-3)
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So my book defines simple random sampling as "every group of n individuals has an equal chance of being selected"
For example, they have the question: "A corporation employs 2000 male and 500 female engineers. A stratified random sample
of 200 male and 50 female engineers gives each
engineer 1 chance in 10 to be chosen. This sample
design gives every individual in the population the
same chance to be chosen for the sample. Is it an
SRS? Explain your answer."
And the answer is: "No. In an SRS, each possible sample of 250 engineers is
equally likely to be selected, including samples that aren’t exactly
200 males and 50 females."
But, if it's a random sample, shouldn't the probability that you get for example, 230 males and 20 females be higher than 200 males and 50 females?
can you just read it again or something?
That really helps.
you missed a question mark
I was being sarcastic cause I’ve read it multiply times already but I found something else explaining it
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I mean the easiest way is to set the independent variable as t
And then go from there on
im just confused as to how to go from the start
Wdym go from the start
like where do i start
It doesn't specify an initial value or direction
so -3t^2?
z(t) = t
And then this is x(t)
Yeah it isn't linear so
Im not sure how to vectorize quadratics
I can help you find the two parametric equations but combining them seems rather dumb
I'm not sure if you're dealing with 3D
yeah its 3d
Alright you can try uh
i think i figured it out
r(t) = {-3t^2, 0, t}
yeah
i did that
just no j value
and got it
its so weird but thank you
got it correct
.close
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hey i need some help understanding how to evaluate this limit
i am confused on this step
i dont understand how diving both the numerator and denominator by x^3 u get 7/x^2
and the other values in the numerator
how does this work?
wdym
oh wait
in order to make sure that im diving by x^3 in the numerator
i have to do that bc its in a sqrt?
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I need help solving 7
idk how
this video shows you
Given two functions, add them, multiply them, subtract them, or divide them (on paper). I have another video where I show how this looks using only the graphs of two functions.
Ok so through watching his first example
I think my only question is
How do I deal with the fraction within g(x)
you have to find a common denominator
then you will be able to combine the fractions because they have the same denominator
so the two goes into the 1?
wait wait wait
-1/3 would become 6/3x?
where did the extra three come from
:o
because 9/3 is still 3 we just want to make it a fraction because the other side is a fraction
the next thing I would do is distribute the negative
so if we distribute the negative we get
then (9/3x-2)+(1/3x-4)
which makes it easier to solve
now we just combine like terms
ok
this one is a little bit harder
oh no nvm
this one is ez
it is asking us f(2)*g(2)
we replace the x with 2 and then solve?
so 2f=2
ok
yes
then we multiply 2 times the fraction then add four?
yes
but I already added it by four though?
because it asked f(2)*g(2)
yes
40/3?
uhhhh
40/3 for the final answer seems off
wait no nvm
it makes it seense
I need your help with one more if you wouldn't mind
ok so for this graph im looking for the min and max and also which f is increasing in interval notation
;-; which yknow idk how to do
max is the high point of the curve
min is the lowest point of the curve
the point where the f is increase is between the min and the max
if you need to round to two decimals look at the number behind it
1.66 seems fine the way it is
if it is 5 and above round up
which number has to be 5 though
so fits the first you you would look at the 2
yes
yes
ok
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@lean otter Has your question been resolved?
@lean otter Has your question been resolved?
@lean otter Has your question been resolved?
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am i right if i say that to prove that something has infinite solutions/a set of solutions, i need to introduce an arbitrary real number?
not in general, no.
but in your case, ie specifically for linear systems, if such a system has more than one solution, then it has uncountably many and it is convenient to parameterize them with one or more real-valued parameters.
better in what sense?
ermm maybe less lengthy
you could perhaps try to find a phrasing of this proof that communicates the same idea in less symbols
but that's kind of silly
this proof is short
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ind a better lower and a better upper bound for the integral than 0 and 3.
this is the problem i am dealing with. I dont how to find a better under and upper limit for the function
v(t) is the function
can you guys give me any guidance for solving the problem?
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how to do b) iv)
?
2 ways to seat Feng and George, some number of ways to pick seats for Hannah, Alice and Barney w/ 2 orientations for each (A-H-B or B-H-A), then 3! ways to seat the rest...
pls explain further the answers 144 but i still dont know 😢
which part of my message is confusing you?
i dont know the arrangements for Hannah Alice and Barney
this is the provided solution but it makes no sense to me
you can either have A, H, B sit consecutively or two seats away
A H B _ _ _
_ A H B _ _
_ _ A H B _
_ _ _ A H B
A _ H _ B _
_ A _ H _ B
do you understand that these are all the possible arrangements (with the possibility of swapping A and B in each)?
ok so is there anything in what i said and/or in the provided solution that makes no sense to you?
no i get it 🙂
solution is 2! x 3! x 6 x 2! and that equals 144
yes that's right
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how is the domain for a square root function (0,infinity), but not [0, infinity)?
doesnt the 0 count
The 0 is included. The domain is [0, +inf)
Any certain restrictions?
it just says "over what intervals is the sr function increasing"
could it be cuz x=0 is at 0,0 and not rlly "increasing"
It definitely includes 0. Think of it this way, if x = 0 which would be (0,0) is an ordered pair, the notion of increasing value comes from comparing the (x,y) value as you plug values for f(x).
I suggest you try making a table of values to see immediate relationships between x and y for the square root function
i get it it just might be the answer key is wrong
Yes, its most likely incorrect. Unless there are certain restrictions you left out
I'm trying to compare this to a function, imagining a x^3 or something function. The turning points wouldn't count in the "increasing"
Or like x^5 - x
The inputs for this function decreasing would be (-0.6687, 0.6687)
Is the square root function tryna say the same thing?
yes
But a square root doesn't have turning points, they can't have a slope of 0
It most likely includes 0
👍
alright, thanks for the clarification. I have to get ready for school, cya
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- Salde is 15 years older than Sonny. If the product of their ages is 54. Find the ages of the two students?
Please don't occupy multiple help channels.
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Closed by @magic marten
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For positive real numbers a, b, c, if the conditions a+b+c=10 and ab+bc+ca=25 are fulfilled
Find the maximum possible value of the set of numbers ab, bc, and ca.
what's the value of a set of numbers?
maximum possible value of the set of numbers ab, bc, and ca.
ohj
it's a little unclear what this refers to
u want to find the max possible value of the lowest number in that set of numbers
its in Mongolian
so you want $\max_{\substack{a,b,c>0 \ a+b+c=10 \ ab+bc+ca=25}} (\min {ab, bc, ca})$
Ann
is that right?
yeah
hmm
intuitively it feels like a, b and c should be close to each other so that ab, bc and ca are as close as possible to 25/3
yeah
ok so i found a graphical solution but it is ugly and WA is giving some crazy exact form for it
wait
hold on
i fucked up
ae
ok so heres what i did
i took x and y as a and b
expressed c in terms of those as 10-x-y
and plotted the other constraint as a curve
then i plotted min(xy, x(10-x-y), y(10-x-y) ) ≥ c and gradually decreased c until the region touched the green curve
(yes i know this is dirty)
(no i can't think of any more elegant solution rn)
;-;
oh wait Im dumb you're trying to find the maximum of the minimum
yeah
hopefully this proof works
I hate working with anything involving WLOG
oof
yeah me too lol
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Can someone help me solve this?
I'm stuck on a equation with 2 variables ;-;
@reef basin Has your question been resolved?
@reef basin you still here?
yep
You get this?
im stuck here
I just did it till equation and put it in Wolfram cause I had no idea how to solve this further
the answer seems to be 37.0156%
but idk how to solve this question without using wolfram and i need to solve this under 100 secs
;-;
Okay so we get (100+p)(100-q)=10000
Or we can write it as
(100-q)=10000/(100+p)
Right?
yes
And we given that p-q >= 10
yes
ok makes sense
Okay so can you solve it from here on?
ill try one sec
Lemme add some more brackets
ok im stuck again ;-;
Do i use the quadratic equation now
This will take forever to solve @.@
,rotate
im pretty sure i didnt make a mistake o.o
idk if this question seems doable in 100 secs
,calc 5(1-sqrt(401))
Result:
-95.124921972504
Hmm
,calc 5(1+sqrt(401))
,w p^2 -10p-10000>=0
,w p -(100-(10000/(100+p)))>=10
,calc 5(1+sqrt(41))
Result:
37.015621187164


how would i do it by hand in 100 secs ;-;
CAT
Ohh i see
JEE is usually more lenient with time limits
Good luck buddy 
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Your welcome
thank you <33333

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Can anybody please help me solve for x
i may be wrong, but don't you have to multiply by the conjugate to get rid of the radical on the right side
cant u just square both sides
yea..
o yes u can square both sides
u would get 9 + x - 2 on the right
and 2x + 5 on the left
but thats not right
i dont know why ts not rght but its not
because x has 2 answers
sqrt?
where
because once you remove a square root, you may need to add +/-
+/- 2x + 5?
photomath solved it a really weird way and gott he right answer but i couldnt understand it
hm
ohhhhh
remember
$(a+b)^2=a^2+2ab+b^2$
Mothy
mhmmhm
I would do it exactly like photomath
i just dont understand what they are doing
what is your last line
how do they get the 9+6 root(x-2) + x + 2
my last lline rn is
2x +5 = (3 + root(x-2))(3 + root(x-2))
you need to simplify the right side
how
develop it
(2-x)²=?
Yeah (2-x)(2-x)
But when I foil and collect like terms
It’s wrong
Let me try again
And that doesn’t factor into the right x values
Oh wait I think ik where I made my mistake
Wait but
When u square
-6root(x-2)
How do u its its 36(x-2) and not 36x - 2
-6 * root(x-2) * (-6)*root(x-2)
Ohhhh so it’s like there are brackets when there’s a root
yeah root is power 1/2
sure
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LoL
Wait
$8x + 10y=130$
Zaid
Oh
@earnest trout Has your question been resolved?
did you try anything after this?
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can someone help? thank you in advance
okay, so first off use the definition of the set difference
LMAO
$\and$
then use demorgan's
hmmm
i dont have it defined
HA
¯_(ツ)_/¯
should be clear from there
why not just write something like
he do be de morganin
facts
can u help me to find my mistake i think i have wrong step or smth
cant you just distribute the and over
you mean the land*

federal government moment
@silk ruin Has your question been resolved?
sorry i dont really understand can you show me the step?
did you just unwind
wait i might have wtf
may i know where is this from? I only can find this
@silk ruin Has your question been resolved?
it says "using boolean identities" so I don't think they want you to consider subsets/elements of the sets
yeah that's correct, so what's B - A?
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$(\sqrt{2}+x)^5 - (\sqrt{2}-x)^5$
ahmed349
I just wanna confirm this, the terms with even powers will be positive and the odd powers would be negative in the 2nd binomial, but the - in the middle will invert them, so the odd ones are positive and the even ones would be negative, so the negative terms in the 2nd binomial cancel out with the positives in the 1st, now we are left with the terms with odd powers, so basically the 2nd, 4th, 6th terms
Multiplied by 2
Ah uh I wanted to do this with binomial theorem
Well anyway thanks for this graph, I sort of figured it out
.closs
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If i have a limit where in a part of it i get infinity/infinity than the whole limit is undefined?
it depends on the limit, inf/inf is indeterminate form, but can give a result
see the limit of x/x as x goes to infinity
the limit is 1 right?
Part of my limit is ln(infinity^2+7)/x-7
theres l hopital
there's also order hierarchy
how can part of it be infinity?
are you applying the limit only to one specific thing
and what is x
projective plane 
this is kinda awful not gonna lie front man sir
Front?
boss
that's a lotta terms man
Pls no
first and last i think you can deal with individually
i dont want to think about it either
middle two you can do continuity
Yes
is the x in the arctan on the whole fraction?
Wdym?
you need to acquire yourself some auto resizing brackets man
oh it's root of 7 times x
oh
Yes
ok cool
well this has taken an unexpected turn
it really doesnt look like that in ur pic 😂
gigatroll
okay so that's easy
I said sorry hehe
use that
What about the first term
doesnt matter how the x is scaled as long as its positive
it's easy
i think u can lhopital that
Oh so
lim = easy
I can lhopital the first term
answer = easy
And dont have to lhopital othee terms?
you should at least know growth of log is slower than linear
then the first term is just 0
l'hopital without l'hopital 🤣
lhopital is too much
Thanks guys
well i dont think you need to in this case because since the limits definitely exist (1st, last, 2nd+3rd)
you can split them up
do it all together 
wolfram enters
no, appreciate yourself
??
nah dw thats the point of this server
LOL
🤣
jk just messin w ya
LOL

I don't even understand what he was trying to say lol
Okay okay i'll stop
See you later and thanks
./close
no slash
/close

