#help-13
1 messages · Page 25 of 1
That should not be true, as it would imply the complex number is equal to its conjugate
True for real numbers!
Not even true for z=i
Hmm.. feeding wolfram $\frac{z}{z^{*}}$ returns 1
SillyRaccoon
My thought exactly!
Don't know.. I am confused tbh
Original question mentions: is it possible to find a z where z / z* = 2
And then proceeds to answer it with the help of absolute values
This is only true for real numbers
Which is what wolfie defaults to
Try calculating this yourself for any complex number
@crimson sedge Has your question been resolved?
it's true that |z / z*| = 1
questions like this are easy to solve using polar coordinates
Should've done that instead tbh!
The answer is $\frac{a^2 +2abi + b^2}{a^2 + b^2}$ and therefore never real afaik
SillyRaccoon
Where $z = a + bi$
SillyRaccoon
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mb
what have you done so far?
just posted my bad for delay
<@&286206848099549185>
can you help?
a(2)
?
Is the acceration after first 2 seconds
ok
Use this
i want to know the time it takes for the object to travel the first two meters tho
Ok
can you do the way im doing
cause i wanna do the way my teacher did
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@crimson sedge Has your question been resolved?
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,rccw
5/8 of the attendees were female... This means ---- were not female @crimson sedge
fill in the blank for ----
whats the fraction for everybody who visited
so 5/8 of that entire crowd is 105 correct
if you add the unknown amount of 3/8 people you get everybody
so i dont know what you would do but what id do is find what is 1/8 of the total amount
You actually don't need to do any of that since they are just asking u for the total
So @crimson sedge
Let's say 'x' is the total amount of people in the thing
When we want to describe the amount of female attendees in terms of x, what do we write?
We already know whatever that is also equal to 105
@crimson sedge Has your question been resolved?
@crimson sedge Has your question been resolved?
@crimson sedge Has your question been resolved?
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just need help starting it
you check the differentiability on the left and on the right
You just need it to be continuous at $1$ then. Equate $x^4-4x^2+3=ax^2+b$, solve for b.
3317
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tan^-1(tan(x))=x, then what about tan(tan^-1(x))???is it also x??
yes
tan^-1(tan(x)) isnt x tho
its only x from -pi/2 to pi/2
k thx for info
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If you wanted to choose an X so that the probability of you choosing an X that is greater than or equal to lets say 20 is 1/20, how would you do it?
So more formally Probability of choosing an X >= k is 1/k
Seems like you can explicitly write down a density function
f has value 1/2 between 1 and 2, value 1/2-1/3=1/6 between 2 and 3, value 1/12 between 3 and 4 and so on
Could you dumb it down for me hehe, not exactly following. Just me being slow, takes some time for things to click for me.
.solve
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can someone guide me through how to solve this using factorisation method?
well the first step would surely be to multiply both sides by 3 to get rid of the fractions
Wait, is that a mixed fraction first?
surely it is
who uses mixed fraction
26 whole parts and 2/3?

Yes, just wanted to make sure it is not a multiplication. Since if it is a mixed fraction, could lead to the error of thinking $26\frac{2}{3} \cdot 3 = 26(2)$ or something
Literally true
wow I'm dumb asf, I never thought about that
♡LexQa♡
$\frac{78}{3}$
Mathematician? probably
so after multiplying by 3 you get $12x = -2x^{2} + 80$ and once you rearrange you get $2x^{2} + 12x - 80 = 0$ divide by 2 $x^{2} + 6x - 40 = 0$ solve
I have an inkling it could be a typing error and they meant multiplication 
nah
the multiplication sign only disappears with variables
its a mixed frac
I just never see mixed fractions around the time factorisation gets discussed
But fair enough
I'm going to try it brb
$x = 4\sqrt{3} \pm 3$
Mathematician? probably
if youre factoring i guess you can do it now
ahh it makes sense now
Mathematician? probably
Mathematician? probably
thats your factored eq
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if this is true ^
why is there an n-1 attached to the (-1) here? shouldnt it just be (-1)^n ?
(-1)^n
when n = 1, u get -1
when n = 2 u get 1
when n = 2 u get -1
but for (-1)*n - 1
when n = 1 u get 1
when n = 2 u get -1
its just started posiitve
instead of negative
thats it
well what is the first
value
if u were to take the summation
of which series? the one with n-1 or n?
n-1 is = 1 as u said
n is -1
no
figiure it out
how would u put x^6ln(1+x)
into a power series
yeah i got (-1)^n * x^(n+6)/n
i just didnt get the n-1 attached to the (-1)
simply n
and im wondering why they made me include that in the answer
lemme see if i get that
:O
btw i only learnt this this year so maybe im just wrong
those are two different power series
everything up to this point has been ez as balls so im like what
one has +x and the other -x
i am aware. my question is why is there an n-1 attached to the (-1)
because the signs are alternating
with the frist term being postivie
why cant you just keep it as n though
why does the first term have to be positive
Because that is the power series
u must've worked it out wrojg
Yea
so when n = 0
the first value is positive
which what u should have
no
the Power series for that is all negative
ok ok so why do i need to make this positive
see idek what that is lol i havent gotten that far
U need to do maclaurin to do power series
what is that
u know taylor series?
no
oh ok
unless u teach ur self maclaurin and taylor
i shall go watch some professor leonard
🫡 good day
he's my go to
yeah i tried org chem tutor for this
but i had no idea what he was doing
he pulled integrals out of thin air
and confused the shit out of me
oh well
ty
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I was watching a video by the channel: Mind your decisions (https://youtu.be/LWPOlZBXtD8)
Pls, anyone tell the proper reasoning of this.
The Pythagorean Theorem says the square of the hypotenuse is equal to the sum of the squares of the sides. But this video says the hypotenuse is simply the sum of the sides. How is that possible? Can you figure out the mistake in the logic?
Credit: this paradox is mentioned in the book "Slicing Pizzas, Racing Turtles, and Further Adventures in ...
the reasoning is: you cant do what you want with limits and infinity
lim(length(curve)) = / = length(limit(curve))
in calculus terms what we are doing is computing the arc length of the stair curve
this involves the "derivative" of the curve
which itself doesnt converge to 0
basically it would work
if the curve approximations flattens out
as you approach the curve
but this one doesnt
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whatr have you tried?
i dont really understand this topics
proof by induction?
yes
ok so a proof by induction is a kind of reasoning thats used to prove a statement Pn that depends on an integer n
and we want to prove the statement Pn for any integer n bigger than some starting integer n_0
usually n_0 is 0 or 1
like in this case
the smallest n that makes sense is 1
so to do so
we need to prove 2 things
that the statement holds for the first integer
and that if the statement holds for one particular integer then it holds for the next one
if those 2 things are true
then Pn is true for the first one
but because of this its also true for the second one
but if its true for the second one
then its true for the third one
and so on
and so on
all in all this is the same as probing it for all integers
does this make some sense?
yes i got it
so how to do the first step for calculation?
so we must prove that your statement
holds for the first integer so n=1
,w (1/4)1^2(1+1)²
so its indeed equal to 1^3
so the statement holds for n=1
now onto the induction thing
lets suppose that for some integer n
the statement holds
meaning that
$\sum_{k=1}^{n} k ^3 = \frac{1}{4} n^2 (n+1)^2$
Benjamin
yes
so lets study $\sum_{k=1}^{n+1} k^3$
Benjamin
do you have an idea of how to use this which we know is true to calculate the sum i just wrote?
i think n+1
wdym?
$\sum_{k=1}^{n+1} k^3 = (n+1)^3 + \sum_{k=1}^{n} k^3$
thats what i was thinking
Benjamin
okay after that we need to proove
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Consider the following cuboid whose square base has a side length 13 and whose height is 3cm.
What is the surface area of the largest sphere that can fit inside the cuboid?
I tried using the lenght and the width but im not sure which would be correct
i believe it is= 4 * pi * 1.5^2 = 28.3
would that be correct
well, the diameter of the largest fitting sphere is 3cm, so...
,calc 4pi * 1.5^2
oh, the bot is down.
yeah you're good to go
(assuming no rounding nonsense at play)
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sorry
i mea
like how do i stop with the occupied space
so someone else can use it
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Are you familiar with derivatives at all?
So you're taking a derivative of [B] with respect to the variable t
Ah you may be more comfortable reading it as [B]'(t)
Yes That looks better than the other way haha
You'll need to be familiar with both notations.
I'd say d[B]/dt is a lot more common once you get into higher level stuff.
I get you, finally understand that notation haha , how would I go about this question
d[B]/dt basically says "What is the differential change of [B] with respect to a differential change of t?"
Would I be right in saying it wants me to differentiate in respect to B and then divide that by dt?
Or am I lost
It wants you to take the derivative of the function [B] with the variable t
This function:
How would I do that, wouldn’t the left hand side of the question just cancel out when u differentiate it ?
Then i just have to derive (e^etc …) by power rule
That’s what I meant sorry 🤣
As in When i differentiate left hand side it’ll become 0?
Im very confused idk where to start with taking derivative of this
How about just trying to do the derivative then show me what you get
I can help you from there
looks good
How would I derive for 1/k2-k1 ?
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np
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how do i do part b and c
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i need help
im stuck on how to start even tbh
if its the start, try to come up with the formula for the mass in relation to the decay
I do not know what course you currently attend, but this can be a series, a function or a group
Also very importantly, are you allowed to use a calculator for this?
@loud moon Has your question been resolved?
well, then do what I wrote above
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thanks
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sisters work spent over an hour doing it
had over 5 different answers please help
yhyh nvm
finally got it
Read it wrong 😭😭
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is this an appropriate way to multiply radicals
Please don't occupy multiple help channels.
kinda radical
but yes
considering the stuff in the sqrt are positive numbers
so no weird stuff like
sqrt(-1) * sqrt(-1) = sqrt(1)
thats just sus
so take note of that
in this case um
they said r<0
so
its sus
u cant
so how am i supposed
to
multiply it out then
cause i still have to simplify it
in order to get my answer
i need help
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can someone guide me through all 4 questions?
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Is this vector unique ?
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I just need to know if 4.55 + πk is an actual solution to this problem. My homework app is very inconsistent and my textbook is awful.
This problem doesn't have a second solution like the first problem.
It marks it wrong when I include the second solution
Again, my homework app is inconsistent. I just need to know if the problem should have two solutions. Theoretically speaking, it should, but both the second problem and Mathway disagree.
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@fringe ore Has your question been resolved?
yeah it's got LOADSSS of solutions "d"awg
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How do I find a equation for a perpendicular bisector
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Yo, how do I factor "5x^4 -5"
Kinda dumb question but idk, hard
Oh wait mb
Pull out 5 and diff of squares
Never mind
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Yes
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help pls i donu understand this question
what
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guys?
whats 1 +1 i forgot
hilarious
,calc 1 +1
Result:
2
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Amelia travelled 2 hours more by train than she did by bus. the train trevelled at 70km/h and the bus at 50km/h. her total trip was a distance of 740 km. what distance did she travel by bus
x = time of train
y = time of bus
y+2=x
i made an equation but idk if its right
70(y+2)+50y=740
y=5
Looks alright
Yes
ok ty

could u help me with one more?
Sure
You'll get two equations and two variables
yea
so
distance = speed * time
x = time for major road
y= time for secondary road
so
im stuck
x+y=9
70x+60y=580
That's right
tysm

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how can I show that the curve with parametric equations x=tcost y=tsint and z=t lies on the cone z^2=x^2+y^2
I get that I eventually get like 1=cos^2t+sin^2t
Compute x² + y² in terms of t. Turn that into z².
right so it would be t^2cos^2t+t^2sin^2t=t^2
The algebra behind the conversion is pretty quick
right
but what does doing that really do for me
^(this wasn't meant to be rude just like straight up do not know where to go from here)
"Lies on the cone x² + y² = z²" means that for every point on your curve obeys x² + y² = z²
You're using the parametric equations to prove, yeah
gotcha
maaaaaaan
I hate when it's there but like a piece of my brain just isn't lol
I appreciate it!
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Can someone walk me through this question so i can do others like it. Thank you
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could someone help me with this
just need to integrate and find C,k with the 2 given points
2x2 system
and 1st point is (0,1) so then some variable will disapper in the equation
well yes
but the constant will still remain
can't you solve it
i would have to expand a linear expression to the power of 6
thats why im asking
which seems unlikely
what do u mean by this
ok so what's your antiderivative
i dont know what that means sorry
what's your y
and for x = 1
let's see
integral is (kx-1)^6/3k + c
for x = 0:
1/3k + c = 1
for x = 1:
(k-1)^6/3k + c = 8
ok
now
where do i go from here
we can subtract both sides then:
1/(3k) - (k-1)^6/(3k) = -7
1 - (k-1)^6 = -21k
(k-1)^6 - 21k - 1 = 0
let u = k-1 ---> k = u + 1
u^6 - 21(u+1) - 1 = 0
u^6 - 21u - 22 = 0
how do i solve from the last line
<@&286206848099549185>
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Domains:
Is it correctly understood that, in general, the domain of real-valued functions is always (- infinity, infinity)
UNLESS we are dividing or there's a square root involved?
no
and yet you keep talking
Let me rephrase my question... if we have real-value functions where we only use finding sum, product, difference, or raising a real number by exponents, or taking absolute values of real numbers, then the domain is (- infinity, infinity), right?
Thanks! Then if we have functions that include division, those domains are (- infinity, -) u ( 0, infinity), right?
raising a real number by exponents
might run into trouble there
I blocked fernandez, no idea that that troll is saying
for example, the domain of $x\mapsto x^\pi$ is not implicitly $\bR$
💜𝓁𝒶𝓎𝓁𝒶💜
Hmmm I see. Thank you guys
Fernandez stop fucking sending me friend requests and spamming me
<@&268886789983436800>
To tell you to stop this shit, what are you even doing here? Someone ban this clown..
Thanks guys
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I need help with trigonometry
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show attempt
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Hello! Could someone help me, please? Using Abel-Dirichlet criterion, prove that the series sigma (n=1 to infinity) sin(n)cos(n^2)/sqrt(n) converges. This is what I tried. And I don't know how to prove that Sn is bordered (hope I said it right in English).
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A school started in the year 1999. After 5 years (2004) the amount of students had increased by 55%. After another 5 Years (2009) the amount of students increased by another 30%. In the year 2014, the total amount of students was 270% of what it was in 1999. With how many percent had the amount of students increased in between 2009-2014?
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is it always necessary to remember the quadratic formula
ive practiced enough of the questions i still forgets it
yes its quite useful
so is there anyway i can keep that in mind and not to forges it
you could derive it
using complete the square method
using completing the square
it gets easier cause
i have not derived it
you know what everything is for
Some quadratic expressions can be factored as perfect squares. For example, x²+6x+9=(x+3)². However, even if an expression isn't a perfect square, we can turn it into one by adding a constant number. For example, x²+6x+5 isn't a perfect square, but if we add 4 we get (x+3)². This, in essence, is the method of completing the square
refer to this
lol i will stop we are saying the same things at the same time
the formula becomes quite clear and makes sense after this..
that’s okay - thank you for the help on this one
okay ✅
.close the channel
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Then what I have to do?
by inspection means you do it without writing anything
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I have a few different samples from a large data set the smallest sample size is 800 the largest about 3500, if I want to test the means would it be best to use a t test or a z test?
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If we have a die and we roll it four times, and the final three rolls are at least as large as the preceding one, does that mean the last three rolls have to at least be the same or more?
"At least as large" means greater or equal yes
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Mb i was afk since i was taking a test
i answered when you posted ealier
for the first one
and the second pic is blurry
also is this supposed to be a test?
Prove yx bisects ol
Nope its a worksheet
I have things that refeil my personal info
So thats why i cencored stuff
ye i understand that but try to send in a clear pic with the full question
U want mw to just read it out
In using a damsung so all pics look like that
Samsung
*sometimes
Hello?
<@&286206848099549185>
for the second one there
notice that Triangle ACD and BED are congruent
can you take it away from here?
the third one again
HWO is congruent to DWO
Um
I think u do def of angle bisector
And then do hl on adc
And do ctptc
wheres the angle bisector?
Bd
where does it say it is the angle bisector?
Oh shoot its given
Isnt it a bisector for ac
prove the congrience of ACD and BED
once you do, you will find that by cpct
AD=BD
voila
(ADB is isosceles)
Mk
so the angles opposite to equal sides have to be equal
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i need help
isolate x
what
try to get rid of the -5.4
yes, but you have -5.4, so will you add 5.4 on both sides or subtract to get rid of it?
no
subtract it
so you are saying that -5.4 - 5.4 = 0?
yessir
12.4
yes
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Yo
Like this I think
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im not sure how to get started here any help?
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hi
• Show your work, and if possible, explain where you are stuck.```
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Hi
If i want to find center of mass,
on a graph
inside of the equation for M
is the Density INSIDE or OUTSIDE of the Integral?
@gaunt yacht Has your question been resolved?
What dimension is it @gaunt yacht
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@mental mural Has your question been resolved?
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Are you sure these match? The work looks like it's for a completely different integral than the one you posted
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oh I so sorry I will repost
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can i get help on this one
i made an equation 6 - 15x = 9x + 30
You multiplied the numerator by 3?
Keep it as 2-5x = 9x + 30
i multiplied numerator and denominator
it was due to equals to sign and then = 3
linear equation
Well if you are going to do that, then you have to also do that for the right hand side, but it is just more work for you for nothing
its easier to just get rid of the denominatot
merely bcz i learnt it that wai
he did that, but wrongly
you can also say 1/3
ah
like
heres how you should do it
multiply 3x + 10
so on the right hand side they just cancel or simplify out
and for the left hand side multiply 3 by the entire thing
hence we distribute the 3 across
there are so many ways for this kind of a question
yes this is one way
so the one you have done seems entirely new to me
there is only this one way?
Elaborate the method you are used to
no
how did you get this then
thats correct
that one
okay its fine
you know hiw to get this?
earlier i made a mistake i multiplied the numerator too with three had to multiply it with the denominator onli
after multiplying three with the denominator
ah okay
not quite
the answer is - 2
yep
im simplifying it
it's 9x + 5x btw
he got it correct wym
oh no
no, he probably got 7 because he mixed up the signs when calculating
his final answer
it was a minor mistake
he get 7 but the answer is -2, so im just reminding him
so yeah
that's why i said that
yea he got -2 after the second try
but thanks yea good advice
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Can someone help me do q11
@cursive pumice Has your question been resolved?
@cursive pumice Has your question been resolved?
I can try
But I'm unsure of the exact physics
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Do anyone know how to use economical analytics on excel?
What?
I need to know for my math assignment
please read what the link says
just ask what you want to know
not ask to have someone ask you what you want to know
thats annoyting
Ok I'll send my assingment so you can help if that's needed
In this assingment I am working with personal economics topics. In this I will need to make an savings account and my goal is to know when I have saved up to 6 600 000 kr
I know something about I need to use target analystics to find it out
I do not know how to change language on excel, but what I wrote in it I have translated
so you have to find the closest match to 6 600 000 kr within the money columns?
Yes
i wouldn't know how to do it myself, but google gives a bunch of results
I have tried to find target search analystics, but I do not find a video that gives me the information I need
what you want to do is
- get the differences between the target number and the numbers to check
- get the lowest value of those
- print that number
I am not completely following what you want me to do
actually no, print whatever row you got, but the first column, so you get the year
well, since we are looking for the number CLOSEST to 6600 000, the target is the number with the smallest difference
in google sheets there is a function vlookup which does essentially this. excel should have an equivalent function
They do got a function for it, but I am not sure how to use it
well presumably there is a documentation with some examples
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Soo?
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Parameterization question:
How do you parameterize the intersection of y^2 + z^2 = 4 and x = 2?
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anyone knows what this organic compound is named?
sorry this is a math server but I’ve asked the chemistry server and I got ignored multiple times
the discussions there are also very advanced
You're still not allowed to ask
But I’ve gotten help here before
Ask at jee pro
wait this is possible?
Jee pro server
There are rules.
i wiuld say AlFClBr