toh
#help-0
cloud nacelle
fading kestrel
opposite sides equal
cloud nacelle
length mai
fading kestrel
achha
cloud nacelle
anti nahi
fading kestrel
batao
cloud nacelle
opposites are parallel
fading kestrel
okay
cloud nacelle
lekin zaruri nahi ki equal hai
vector*
vector equal hona zaruri nahi hai
kyuki khud dekho na
starting points alag hai
cloud nacelle
true
fading kestrel
woh chorhho
fading kestrel
ab + bc = ac
itna sahi kiya?
cloud nacelle
itna sahi kiya?
ha
fading kestrel
apne pas aa gaya ac vector
fading kestrel
haan toh dekho na
kyunki answer match na hua
isliye puchh raha
ac aa gaya mera
fir maine uska unti vector nikala
sahi aya utna mera
cloud nacelle
wohi toh pucha
cloud nacelle
acha
mai aproach bata ta hu
kaise karna hota hai
yeh toh pata hai na jab bhi resultant lete hai dono vectors ka tail match karte hai
physics mai padha hoga
@fading kestrel
thoda jaldi bataunga thike mujhe jana ha
fading kestrel
hmm
fading kestrel
omkay
cloud nacelle
12th mai ho?
fading kestrel
wah bc
fading kestrel
yes
fading kestrel
22 mere
fading kestrel
yes
cloud nacelle
i see
fading kestrel
chalo
cloud nacelle
chal bhai mai chalta hu
lone heartBOT
lone heartBOT
Available help channel!
glossy gazelle
What does this mean
lone heartBOT
What does this mean
mossy gale
hasnt been resolved yet
lone heartBOT
@glossy gazelle Has your question been resolved?
swift tulip
hasnt been resolved yet
@mossy gale Please make your own help channel to request help
mossy gale
missclick my bad
lone heartBOT
@glossy gazelle Has your question been resolved?
glossy gazelle
.close
lone heartBOT
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delicate aspen
mortal trellis
see the description of the channel
pseudo hatch
guys can anyone help me with this? can't really figure it out. i always get 1/3
alpine sable
BRO HELP WTF IS -a+2x
pseudo hatch
My hand writing is bad so sorry for that
ocean sealBOT
pseudo hatch
i see
ocean whale
My hand writing is bad so sorry for that
You "lost" the (x + 1) that was part of the numerator
At that step
pseudo hatch
thanks brother 👍
pseudo hatch
You "lost" the (x + 1) that was part of the numerator
yeah my brain just stopped working for some reason
tame acorn
2 runners run through a 5 unit track. runner number 1 runs 2 units in a minute. runner number 2 runs 1 units in a minute. after how many minutes will they be on the same unit? how can i write the equation?
tame acorn
since this track is a loop
i thought i could use modulus for this but i dont know how to modify an equation that has a modulus
drifting gust
Do u need exact equation or way to do it
tame acorn
equation
tame acorn
Do u need exact equation or way to do it
u here?
tame acorn
okay ping me when ur done
oh forgot
they both start at unit 1
so in minute 1. runner 1 at unit 2. runner 2 at 1
you get the problem
potent ember
2 runners run through a 5 unit track. runner number 1 runs 2 units in a minute. ...
You need to notice that the first time they'll meet when the fastest runner ran exactly 1 lap more than slower
So l = t(v_2 - v_1) where v_2 is speed of fastest runner, v_1 is speed of slower runner and l is length of circle, t is the time they meet first time
potent ember
Sure
tame acorn
have you seen a similiar question or is this the first
potent ember
Not really, just a logical conclusion
potent ember
That also comes with practice and training brain
tame acorn
right
potent ember
Open your own help channel, please
lone heartBOT
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Available help channel!
alpine sable
i need help
lone heartBOT
i need help
quasi willow
tell us what you need help with
sour dove
am I gonna get help or...
dude patience. Helpers are here on a volunteer basis. Someone wil get to you when they can
lone heartBOT
@alpine sable Has your question been resolved?
royal meadow
for total surface area, just find the area of the rectangle and each of the triangles and then add them up
for lateral surface area, just find the area of each of the triangles and then add them up
lone heartBOT
lethal belfry
have you tried finding $u_2, u_3$ and so on
ocean sealBOT
Why am. I here
pseudo ice
Hiiii 
Was gonna say, do you think there's anything special about the sequence you have?
Hiii @rose sigil 
rose sigil
hiiii 
pseudo ice
What types of sequences/series do you happen to know about?
Welllll, that's a hint there 
Have you dealt with the sum of a geometric sequence?
Alright, do you know what the common ratio of this sequence is?
You should be able to easily find it what do you know about geometric sequences?
such as?
And how do you find the ratio then? 
That works, or the ratio of any two consecutive terms, sure...
With that, can you tell me what the common ratio of this sequence is?
Almosstt, not quite 
Alright, what do you think the second term u2 of this sequence is?
Alright-
do you know what this is saying?
Did you mean $u_{2 + 1} = 2u_2$?
ocean sealBOT
a ☆
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
@pseudo ice
pseudo ice
Well, not [just] quite that either
pseudo ice
do you know what this is saying?
What this is saying to you, in words, is "to get the next term of the sequence, multiply the current term in your sequence by 2"
pseudo ice
do you know what this is saying?
Well, the fact that you should know the common ratio of the sequence from this statement here
Can you tell me what the common ratio is now?
Always a pleasure! Have a good one 
mighty cosmos
lone heartBOT
mighty cosmos
I’ve got the right answer for part b
As in the right ranges
But I don’t get when to use intersection or when to use union for set notation
pseudo ice
What did you get as the ranges?
mighty cosmos
<@&286206848099549185>
mighty cosmos
What did you get as the ranges?
Got x < 5k/3 and x > k
pseudo ice
In that case, you're not allowed to be in between k and 5k/3
So you can take the intervals from (-♾️, k) and (k, ♾️) and union those, because you want to be in one of those
mighty cosmos
In that case, you're not allowed to be in between k and 5k/3
Lysm
I wrote it out and thought a bit more about it
At first was iffy and confused but then got it
Cheers 👍
.close
lone heartBOT
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lethal belfry
kind of a stupid question , but why isn't the limit 0
lone heartBOT
kind of a stupid question , but why isn't the limit 0
lethal belfry
$\lim_{x\rightarrow0}\left[\frac{x}{\sin\left(x\right)}\right]$
ocean sealBOT
Why am. I here
ocean sealBOT
lethal belfry
so it approachs x from below 1 from both sides
so shouldn't the limit be 0
,w graph (x/sin(x))
ocean sealBOT
lethal belfry
oh, yeah, nvm
tacit arch
,w graph floor(sinc(x))
ocean sealBOT
lone heartBOT
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Available help channel!
lone heartBOT
rich basin
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rich basin
Could someone please give me a hand with this question?
lone heartBOT
@rich basin Has your question been resolved?
lone heartBOT
@rich basin Has your question been resolved?
slate barn
lone heartBOT
red echo
, rotate
ocean sealBOT
red echo
It's because it's asking for the tangent line of the derivative's graph not the original function's graph
red echo
In the problem he sent?
finite flax
Try to use the notation you know to keep it organized. The first expression is not equal to the second (first derivative set equal to second)
slate barn
slate barn
i found the derivative of f(x)
red echo
Or ok
The thing is though they're asking for the tangent line to the derivative graph
So you need to find the slope of the derivative graph at x = -1
Meaning double derivative
slate barn
oh so the second derivative?
slate barn
ok that makes sense
red echo
yeah
slate barn
thank u
red echo
yeah np
lone heartBOT
@slate barn Has your question been resolved?
errant lily
is anyone here good at basic algebra
floral ocean
for these type of questions is there 2 vertical asyptotes like -3 and +3?
jagged cobalt
that doesnt seem to be what its asking
sharp crag
yea there is one at -3 as well
jagged cobalt
but yeah ^
sharp crag
but it's also not important for this lol
floral ocean
that doesnt seem to be what its asking
the question is to determine if limit exists and find vertical asymptotes
floral ocean
but it's also not important for this lol
it is cus its the question
should I say VA = -3 and +3
I just wanna know if I should
jagged cobalt
not really clear wording
sharp crag
it's good to post the full question
jagged cobalt
VA's occur at x=3 and x=-3
lone heartBOT
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Available help channel!
opal ridge
How did it turn into 2a(4-a) = -10 here ?
lone heartBOT
How did it turn into 2a(4-a) = -10 here ?
summer dirge
,rotate
ocean sealBOT
opal ridge
Oh right 💀 how did not see that
I was thinkin they took 2a common lmfao
Thank u thank u
.close
fiery compass
im struggling with this question. I tried to use the recursion tree to help me come up with a good guess that i can use with the substitution method but i ended up with a complex summation that I have no idea how to solve. Is there a trick i can use to come up with a good guess without using the recursion tree?
lone heartBOT
im struggling with this question. I tried to use the recursion tree to help me c...
@fiery compass Has your question been resolved?
lone heartBOT
@fiery compass Has your question been resolved?
fiery compass
<@&286206848099549185>
lone heartBOT
@fiery compass Has your question been resolved?
fiery compass
🙏 someone save me from this proof please, this algorithms course has me by the throat
gritty valve
Do I simplify this using trigonometry identities?
lone heartBOT
Do I simplify this using trigonometry identities?
ripe skiff
Is anyone on this server a JEE aspirant??
lone heartBOT
@gritty valve Has your question been resolved?
high shuttle
The most direct way to calculate the derivative here is to use the chain rule using f(y) = tan^-1(y) and y(x) = sec^-1(1/(2x^2-1))
@gritty valve I think that using chain rule of derivation should be enough
surreal trellis
lone heartBOT
surreal trellis
could someone help me guess the powers in that first one pls
alpine sable
,, y^n + x^n = 1
ocean sealBOT
surreal meadow
for completeness you could say y^m + x^n = 1
but from the rest of the questions i would assume it's meant to say y^2 + x^2 = 1
alpine sable
is this it? the quality is kind of shite
lone heartBOT
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surreal trellis
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surreal trellis
i cant figure out whether ive done the wrong step or made a mistake in the working out
but that product does not look like -1
o shit i did make a mistake in the working out
vale junco
Hello!
Linear Algebra II
Could someone help me understand how to find the Jordan canonical form of a matrix and P such that A = P J P^-1?
I know the algorithm, I just have some questions about it.
I was taught that for every eigenvalue you should find the chain
ker (A-λI), ker (A-λI)^2 ....
Until you get that the dimension of this kernel is equal to the algebric multiplicity of λ.
My question is, that if dim (ker (A-λI)) = 1 and dim (ker(A-λI)^2) = 3? What do you do then?
lone heartBOT
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alpine sable
If a mapping is neither surjective nor injective, then it can't be well-defined, can it?
alpine sable
For instance if I have a map: f: V-->W
And not every element from W has a corresponding element from V
tawny condor
Then it's not surjective
tawny condor
What
f(v) is defined for every v in V
Just because it's not mapping to every element of W doesn't mean it's not defined
f: R^3 -> R^3, where f(x, y, z) = (x, y, 0) is neither injective or surjective
But it's defined pretty well if I may say so myself
alpine sable
Ah okay thanks
tawny condor
f: R^3 -> R^3, where f(x, y, z) = (x, y, 0) is neither injective or surjective
Edited that
Accidentally wrote f twice
alpine sable
So I must always prove for well defined seperateley and cant say anything about it just from injective or surjective
tawny condor
!original
lone heartBOT
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.
tawny condor
What even is "well defined"?
alpine sable
Its not a work I had a thought regarding Rings
tawny condor
What are you trying to show
alpine sable
Since Rings have to be well definied
I thought maybe I could also prove it by saying a mapping is not surjective so its not well defined but yeah
tawny condor
I'm not knowledgable about rings so I can't really answer you, but maybe if you're defining an operation, show that it's a valid way of doing so
I don't think well defined has anything to do with surjective or injective, but maybe ask someone else.
Maybe in ring theory it is, idk
I'll let someone else take over
alpine sable
I don't think well defined has anything to do with surjective or injective, but ...
This is what I needed answers my question thank you
.close
lone heartBOT
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warm meteor
hello, bachelor here, I'm relearning integrals and I got stuck on this one equation
warm meteor
I'm not sure
lament forge
$\sin(x)^\text{like this}$
ocean sealBOT
bee [it/its]
warm meteor
we were told to use a different method
lament forge
**bee [it/its]**
(just put $s around it)
warm meteor
yuh
ocean sealBOT
Gene
earnest mural
ok wait
warm meteor
you still there?
earnest mural
is this channel allow me to sent image?
warm meteor
I did so I think it's fine
earnest mural
earnest mural
need proof?
earnest mural
oh right
warm meteor
thank you for the help, have an awesome day my guy
earnest mural
np bro👍
surreal trellis
lone heartBOT
surreal trellis
the speed that its going up is 500 df/dx
the second part im struggling
@craggy dagger
upbeat eagle
Quick question
lone heartBOT
Quick question
upbeat eagle
I got an r value of +1 and -1 as well
why is that not used
I forgot the reason
I got a ^4 quadratic of
r^4 - 1.16^2 + 0.16
woven plaza
why is that not used
your solution needs to be in the domain of original equation, as you can see in the first step you'd get a zero in denominator which is not defined so we reject those solutions
upbeat eagle
your solution needs to be in the domain of original equation, as you can see in ...
Oh right yeah thats true
haha thank you
.close
lone heartBOT
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neat socket
given a relation R difined (x,y)| y= 2x what is the reverse relation
lone heartBOT
given a relation R difined (x,y)| y= 2x what is the reverse relation
@neat socket Has your question been resolved?
pallid scarab
what does it mean for yRx ? and then you'll get your answer
alpine sable
i need help :)
lone heartBOT
i need help :)
analog falcon
i need help :)
That's what this server is for! So we know that much already 🙂
What do you need help with?
analog falcon
this question😭
You know what is simple interest?
alpine sable
How much interest does she earn after one year?
alpine sable
You know what is simple interest?
ye
alpine sable
How much interest does she earn after one year?
thats what i cant firgure out
like idk how to find 1%..
she gets 1% interests added on her 220 punds
pounds**
what is 1 percent of 220?
alpine sable
what is 1 percent of 220?
ye idk.
you know how percentages work?
for 5% and 10%
but not for 1.
100% is 220 pounds we can agree on that right?
yes
thats the full sum
how many times can 1% fit in 100%?
100
right
If you gave me 100 pounds, and i told you i would only give you 1% back how much would i give you back?
99?
..
If someone gives you 1% of something is that a lot you thinl?
no
quite less
i think i needa learn percenatges again.
is it like 2.20
?
yes
oh
how did you find that number?
I just searched up how to find 1% for a number💀
and then u times it by 3? cuase its 3 years
Okay but if you compare 2.20 and 220 what do you notice?
u didvide by 100
?
yes 2.20 is 220/100
When we talk about percentages we talk about something as a whole, in which ''whole'' means 100%, and then a part of that ''whole'' as if you divided in 100 equal pieces.
Oooh i see
thank you
Ofcourse it depends on the context like 5% human doesnt exist
ye
so thats an easy trick you did
oooo
you divided 220 by 100 and then you multiplied it by 3 percent
but back to your question. how much interests did the person get?
£6.60?
why?
because
we times it by 3
cause its 3 years
no?..
it is 3 years your right
but
the amount changes after ONE year because the interests is added to the sum after EACH ANNUM
annum = annual = per year
how much interests is added after one year?
so we have to find 1% again?
precisely
alpine sable
how much interests is added after one year?
£2.20
and you repeat that
ooh
dammit
WAIT I THOUGHT U JUST TIMES IT
i thought thats compund
oh
you kind of do
analog falcon
the amount changes after ONE year because the interests is added to the sum afte...
Sorry to interrupt, but wouldn't it be 1% at 220 pounds for all three years, since its simple interest and not compound?
alpine sable
what is the difference?
is simple interests just the 1% from 220?
or from the new sum?
analog falcon
Yes I think. In simple interest, the principle doesn't change. In compound, this year's amount becomes next year's pinciple
alpine sable
yea
ah okay yea then your right you do 3x 2.20
u add it on for compound
ye😭 thank youu
But compound isnt much harder either to calculate
you can make these questions easier by thinking them in terms of factors
factors/
how
You can express any percentage of any number by multiplying it with another number
can u give an example please
its better to let you do it but ill help you along the way
so imagine 220 pounds
yes
ah okay
if I had to express 100% of 220 pounds by what number do you think I would have to multiply with?
huh.
What is 100% of 220?
£220
Yes
What multiplication of 220 gives me 220?
1?.
yes
220 * 1 = 220
now what about 50%
thats a half?
yes
so £110
what number should i multiply with
2?
220 * 2 = ??
oooh i thought u meant £110
thats like 440
red jetty
100% of 220 is itself
then what about 10% of 220?
red jetty
yep
alpine sable
huh
10
??? * 10 = 1
wait what
IDK
WHAT
fractions?
do you know how to add with fractions or do you know how to do math with decimals?
ye i do
ish.
idk 0.1,...
why 0.1?
nvm
im not saying your wrong just why
00
ooh
idk if u move the deciaml point
it gives 1.
IDK ..
yea thats one way to look at it.
yuhh
but more importantly if you add 0.1 ten times what do you get?
1
yep
oooh
I think you should practice alot with addition and multiplication with fractions because you can actually make things look a lot more easier and you are suprised how many commonalities there are
ye tru okayy
thanks man
no worries
.close
trim bronze
d
trim bronze
..
i have a math project what do i do
about
Subtracting Linear Expressions
pls halp
gray isle
post specific questions instead of being vague
trim bronze
post specific questions instead of being vague
i wanna project
lone heartBOT
@trim bronze Has your question been resolved?
gaunt grotto
lone heartBOT
gaunt grotto
Here's what I have so far
Where do I go from here?
Surely one of $U_1|0\rangle$ and $U_2|1\rangle$ would have to be zero
ocean sealBOT
Jacob
gaunt grotto
But then one of the last two lines would be wrong
lone heartBOT
@gaunt grotto Has your question been resolved?
lone heartBOT
@gaunt grotto Has your question been resolved?
tacit arch
#old-network for physics server
gaunt grotto
asked here because quantum information theory is a maths class for me
lone heartBOT
@gaunt grotto Has your question been resolved?
gleaming lily
I have this εNFA and I have converted it into an NFA using a table (I'm not sure if its right). But anyways I need to continue to convert it into a DFA but if I attempt to do this it seems there are too many states and it just gets way to complicated.
gleaming lily
tardy stag
NFA to DFA tends to cause a lot of explosion in state space
there's some simplifications you can make
gleaming lily
I know I'm supposed to do something like this and continue with all the other ones but it just seems super excessive. I'm not sure whats going on tbh.
tardy stag
there's a lot of simplifications you can make to the NFA before you start
for example, state 7 seems completely useless
gleaming lily
Yea I see that
lone heartBOT
@gleaming lily Has your question been resolved?
gilded fjord
hello
gleaming lily
Hello
lone heartBOT
@gleaming lily Has your question been resolved?
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@gleaming lily Has your question been resolved?
gleaming lily
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Available help channel!
clear tendon
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clear tendon
hello, can i get some help on how to start this question pls
ive written down all the forces and equations for friction: mu x n
78.4 x mu is the friction force but im not sure where to go from there
subtle light
i would recommend drawing a free body diagram for the block a, b, pulley system, and try to find the acceleration of the system using the information you know about block b
clear tendon
sure
lone heartBOT
@clear tendon Has your question been resolved?
sullen prawn
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undone hornet
hint: write $n=p_1 ^ {a_1}\dots p_k^{ak}$, where $p_1,\dots,p_k$ are distinct primes. then you know that the number of positive divisors of n is given by $(a_1+1)(a_2+1)\dots (a_k+1)$ so in order for this number to be odd, each of the terms $a_i+1$ must also be odd. what does this tell us about each $a_i$?
surreal meadow
if a_i + 1 is odd, what must a_i be? oh sorry, i thought smack wrote the hint
ocean sealBOT
42
undone hornet
~~if a_i + 1 is odd, what must a_i be?~~ oh sorry, i thought smack wrote the hin...
all good
empty moth
hint: write $n=p_1 ^ {a_1}\dots p_k^{ak}$, where $p_1,\dots,p_k$ are distinct pr...
very good hint 🙏
surreal meadow
it's a bit too good tho
empty moth
it's a bit too good tho
I guess this part: "so in order for this number to be odd, each of the terms $a_i+1$ must also be odd. what does this tell us about each $a_i$?"
ocean sealBOT
nosqldb
empty moth
but if you don't know that each of the terms are odd, it might be dififcult to proceed
surreal meadow
to me what 42 wrote is basically the whole proof
the first step of writing it as a product of primes is a good first hint
if that's not sufficient then writing down the number of divisors in terms of a_i is a good next step
empty moth
if that's not sufficient then writing down the number of divisors in terms of a_...
that makes sense
undone hornet
yeah maybe i said too much
sullen prawn
is it possible to do it without prime factorization
empty moth
is it possible to do it without prime factorization
I can try and @surreal meadow will have to confirm
but it will be like 5x more complicated
surreal meadow
wait what do i have to confirm
sullen prawn
ok i will do it with prime factorization
empty moth
wait what do i have to confirm
I was going to try and prove it without prime factorization
but nvm
lone heartBOT
@sullen prawn Has your question been resolved?
dire harness
would this be right for the proof? I was just trying
||
\item(5pts) Let $n$ be a positive integer. Use a \textbf{direct} proof to show that ``If $n$ has an odd number of divisors, $n$ is a perfect square." (Note that a positive integer $a$ is a perfect square if $a = b^2$ for some $b \in \mathbb{Z}$.)
\sol{
Assume that $n$ has an odd number of divisors.
It is true that for each divisor $d$ of $n$, there is another divisor of $n$ with the value $\frac{n}{d}$.
Thus, every positive integer $n$'s divisors can be categorized into two categories, in which the total number of divisors is thus $2k$.
However, if $d = \frac{n}{d}$, a divisor is double counted and the total number of divisors becomes $2k-1$.
When the total number of divisors becomes odd, $d = \frac{n}{d} \equiv d^2 = n$, which indicates that n is a perfect square.
$\therefore$ $n$ is perfect square.
\hfill $\square$
}
||
@empty mothwhat do you think?
lone heartBOT
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Available help channel!
alpine sable
this looks stupid it make me mad
lone heartBOT
this looks stupid it make me mad
alpine sable
one sec
fallen verge
did you factor the numerator
steep pendant
yeah you gotta factor it
might be more obvious if you change the way the denominator looks; (4-x) = -(x-4)
alpine sable
.solved
lone heartBOT
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humble pike
lone heartBOT
humble pike
i think i might be doing it wrong
humble pike
the opposite of sin
humble pike
i thought csc was the opposite of sin
ocean whale
What do you mean by opposite?
humble pike
as in reciprocal
ocean whale
Reciprocal and opposite mean two different things
So csc = 1/sin, yes that's correct
What exactly are you typing in to calculate that?
humble pike
sorry if im a little slow but i did the reciprocal of (-20) to get 1/(sin20)
ocean whale
Which part are you confused on?
humble pike
the second step
ocean whale
It's csc(-20)
Second step as in this line?
humble pike
yes
ocean whale
That's the original problem
humble pike
yes, im a little confused on the process to get to the answer
I haven’t studied this part that much and I dont have the wifi to access my ebook
ocean whale
As stated, csc is the reciprocal of sin, or 1/sin
If given csc(-20), you are doing 1/sin(-20)
The inside stuff does not change when taking the reciprocal
humble pike
so the -20 doesnt change?
ocean whale
No
ocean whale
Try it
solid smelt
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pseudo dew
can anyone find a source for this function its made to scale my other desmos functions s is scale factor and a/b are the points its scaling from
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can anyone find a source for this function its made to scale my other desmos fun...
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barren marsh
Hello
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wooden topaz
help
jagged cobalt
thats power rule, not applicable here
wooden topaz
oh they are
jagged cobalt
you just need to apply them
wooden topaz
oh okay
jagged cobalt
youre given all the values you need to evaluate it
wooden topaz
so i can use them without variables
ok
it says its incorrect
i used the product rule
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unborn axle
Suppose we shuffle together 8 standard decks of cards (so the resulting deck has 8·52 = 416 cards). How many different 8-card hands are possible? As with poker hands, order does not matter. It also does not matter which deck the cards came from.
stark scroll
Consider stars and bars
livid tundra
Is that a simple combination or am I just going wrong
prime badge
it's stars and bars
stark scroll
Is that a simple combination or am I just going wrong
you could have multiples of cards (like 3 ace of diamonds)
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slow pendant
hello
slow pendant
is there an online calculator where i can find the focal points of a hyperbola
i tried desmos but im not sure how
jagged cobalt
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slow pendant
okayy thank you!
worldly horizon
t^2 + 2t - 15
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t^2 + 2t - 15
jagged cobalt
what an expression
jagged cobalt
how so
jagged cobalt
you havent actually asked anything yet aha
tawdry sentinel
ax^2 + bx + c right?
worldly horizon
what bro
tawdry sentinel
you're looking for two numbers, m and n, whose product is -15 and whose sum is 2
m * n = -15
m + n = 2
worldly horizon
you're looking for two numbers, m and n, whose product is -15 and whose sum is 2
yes
wait I made a silly mistake
tawdry sentinel
Think about it for a sec 😉
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worldly horizon
I need help this with question now
a^3 - a^2 - 30a^1
ignore my trying to distribute
cloud nacelle
factor out
worldly horizon
wdym
flat roost
worldly horizon
I did
worldly horizon
^^^
ancient temple
If you expand (x-2)(x-3), you get x^2-5x+6
When you go in reverse (from x^2-5x+6 to (x-2)(x-3)) , we say that you have factorised x^2-5x+6
ancient temple
When you go in reverse (from x^2-5x+6 to (x-2)(x-3)) , we say that you have fact...
The way you go in reverse, is you solve the equation that youre trying to factorise. If you solve x^2-5x+6=0, you get x=2 and 3, so you can factorise x^2-5x+6 as (x-2)(x-3)
In your case, you have a^2-a-30, and you are asked to factorise it.
worldly horizon
bro what
worldly horizon
this is a new question
ancient temple
I know, factorise a^2-a-30 by solving a^2-a-30=0
I was giving an example to explain how factorisation is done
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brittle ember
why you need gcf?
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short sun
For this I got this answer. But I am pretty sure it isn't right after checking with symbolab. Just wondering where I went wrong
short sun
sharp crag
show your work then
short sun
sorry I had to switch over to my phone to take the picture
short sun
dang it
vast moat
try use trig sub
short sun
I dont think I have done that before
vast moat
oh.
sharp crag
pay attention to dx vs du
hasty creek
sqrt(a+b) isn’t equal to sqrt(a) + sqrt(b)
You forgot to do du = 2x dx
short sun
So I would do this instead?
hasty creek
- C
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charred plank
Let $F(x,y,z) = z^3+3yz-4x$ looking at the point (2,0,2) and the function $z=f(x,y)$ how do you compute
$\frac{\partial f}{\partial y}$(2,0) $\frac{\partial f}{\partial x}$(2,0) $\frac{\partial ^2 f}{\partial x^2}$(2,0) $\frac{\partial ^2 f}{\partial y ^2}$ (2,0) $\frac{\partial ^2 f}{\partial x\partail y}$(2,0)
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mtr123
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)
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surreal meadow
Let $F(x,y,z) = z^3+3yz-4x$ looking at the point (2,0,2) and the function $z=f(x...
are you asking how to compute them visually, or just how to compute them?
charred plank
are you asking how to compute them visually, or just how to compute them?
Since I don't know f I don't know how to compute the derivative and I guess there's some other way which I'm not aware of
surreal meadow
can you post the original question?
presumably you are meant to take some level curve of F and solve for z
charred plank
can you post the original question?
$F(x,y,z) = z^3+3yz-4x$, we want to check if F(x,y,z) = 0 defines z=f(x,y) as an implicit function.
F(2,0,2) = 0, the partial derivative around this point are continous, $\frac{\partial F}{\partial z}(2,0,2) = 12$
therefore it could be written as z=f(x,y) around the point (2,0,2).
Now I need to calculate the above
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mtr123
surreal meadow
do you know what f would be then?
if so, you could just calculate the partials at that point
charred plank
if so, you could just calculate the partials at that point
nope, if I knew f it would have been just the partials
surreal meadow
well you have that F(x,y,z) = 0 defines z = f(x,y)
oh i just noticed F has mutliple zs in there
charred plank
Yeah otherwise you could just write z = some x some y
surreal meadow
do you have the original question, like an image of it?
charred plank
do you have the original question, like an image of it?
it's not in English so thats a problem, but I wrote it pretty accurate I believe
surreal meadow
can you send it regardless
either way, you can solve this by finding the roots of the cubic, but i believe there should also be a trick to isolating the zs, just can't think of what it would be right now
charred plank
either way, you can solve this by finding the roots of the cubic, but i believe ...
what I tried is this -
so I'm pretty sure we get dF/dx = -4, dF/dy = 3z, then we know that
df/dx = -(1/12) (dF/dx) = 1/3 \to_{2,0,2} = 1/3
df/dy = -(1/12) (dF/dy) = -z/4 \to_{2,0,2} = -1/2
-1/12 is the Jacobian of F at (2,0,2)
now differentiating again will get me 0 at each point, but I'm pretty sure it's wrong
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alpine sable
Hey yall, quick question! If i have to run a unistrut support beam, every five feet and there is 670 feet that i have to run it. How many pieces of unistrut do i need? Also, every five feet i only need half a unistrut not a full piece of it. I need help with the calculations thanks.
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Hey yall, quick question! If i have to run a unistrut support beam, every five f...
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elfin shuttle
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royal meadow
Hey yall, quick question! If i have to run a unistrut support beam, every five f...
what do you think
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alpine sable
Can someone atleast give me the formula to figure it out
tacit arch
Can someone atleast give me the formula to figure it out
this is a math server, not an engineering server. google another server for your answer
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wet vector
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remote ether
Can I have some help with this? I'm getting 2/9*ac but would like to double check
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alpine sable
what do u think this is equal to
remote ether
is it just 1/c? the second fraction cancels itself out to equal 1 so theres just the first fraction that remains?
remote ether
oh yeah... I'll have to give that another go.
can I cross simplify with these sort of problems?
thanks for pointing out that c. It looks really obvious now 🤦🏻♂️
If I had a fraction like b/b^3 could I simplify that to 1/b^2?
Tried again, is it 2a/9c?
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paper sage
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limpid turret
Do you want to know only if it converges, or do you want to know specifically what it converges to (assuming it converges)?
paper sage
Only if it converges/diverges. I understand to use the ratio test, but can't seem to progress after writing it all out, as I don't seem to see the next steps
paper sage
Do you want to know only if it converges, or do you want to know specifically wh...
I wanna basically know the method, can I just look at the serie and determine directly?
limpid turret
iirc, ratio test only tells you if a series diverges, but is inconclusive on whether it converges
Personally, I would show that your series is less than another series that you know converges
frail grove
iirc, ratio test only tells you if a series _diverges_, but is inconclusive on w...
It does. It's inconclusive when the limit of ratio = 1
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frail grove
but i don't think it works here
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royal meadow
3^k gets bigger much more quickly than 2^k
and 5^k gets bigger much more quickly than 4^k
so you can essentially consider 3^k/5^k
limpid turret
so you can essentially consider 3^k/5^k
not quite.
royal meadow
not quite.
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royal meadow
basically there exists a tail after which the errors are less than e(3/5)^k
so the total error is less than epsilon basically
so you can just consider 3^k/5^k more or less
limpid turret
so you can just consider 3^k/5^k more or less
not quite
royal meadow
would you mind elaborating
limpid turret
3/4, not 3/5
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gritty pond
Prove Z5 x Z5 x Z5 is isomorphic to Z25 x Z5.
lone heartBOT
Prove Z5 x Z5 x Z5 is isomorphic to Z25 x Z5.
vapid shuttle
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