Do you see a pattern
#help-17
noble spindle
green crystal
not really
noble spindle
Well i thought i saw something but nope
green crystal
for 4 strings 16 of them start with a
noble spindle
How did you get 9?
green crystal
i counted
noble spindle
Isnt it 6 a (something) (3 options)
aba , abb , abc , aca , acb , acc
Where did you find the other 3?
green crystal
noble spindle
First 3 are not the ones we are looking for
green crystal
oh right
noble spindle
They are not aa free
So 1 , 2 , 6
Its like its sum of all the previous ones times 2
green crystal
we could verify that once we get T4
noble spindle
Get for T_4 then ig
noble spindle
im getting 8
You sure?
abab , abac , abba , abbb , abbc , abca , abcb , abcc , acab , acac , acba , acbb , acbc , acca , accb , accc
green crystal
maybe that would help
noble spindle
Try it
green crystal
try what
noble spindle
Idk. I mean all those questions basically require you to solve the past ones. I cant quite follow all of it because im not solving them. If you understand the solution of that question then you should be able to somehow solve this one.
green crystal
ive done all and i didnt do them in order and still solved idk what u mean lol
noble spindle
Then i suggest you do them in order ig
green crystal
... what ? ive done all of them thats the last one
noble spindle
Oh ...
green crystal
so im guessing you got no clue with this yea?
noble spindle
Well my brain is currently not really working at max speed. Believe it or not me being in this server is just procrastinating on doing math by doing easier math.
vocal sleetBOT
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fallen sand
is my answer correct
vocal sleetBOT
is my answer correct
fallen sand
My work
dense raven
I'm pretty sure the derivative of f(x)g(x) would be f'(x)g(x)+f(x)g'(x) because of product rule and it seems you've written it as (f(x)g(x))'
I'm not sure if that would work
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latent hamlet
The only thing I know about this set of points is that the distance from D to B is larger than the distance from A to C, I need help proving that it's impossible to draw a circle around D and B without that circle also containing either A or C
vocal sleetBOT
The only thing I know about this set of points is that the distance from D to B ...
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
2
vocal sleetBOT
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
Show your work, and if possible, explain where you are stuck.
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devout lion
Question about the Gaussian method for linear systems: I'm trying to understand why when we do Gaussian elimination for a system like Ax = b the operations we do on each row are reflected on the known terms b, but NOT when we are trying to do an A=LU decomposition.
vocal sleetBOT
Question about the Gaussian method for linear systems: I'm trying to understand ...
vocal sleetBOT
@devout lion Has your question been resolved?
hard atlas
well when we do a LU decomposition we record the row operations in the matrix L
and then when we want to use the LU decomposition we have to solve two systems
first Ly=b and then Ux=y
and in the first step we basically apply the row operations to b
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restive tinsel
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restive tinsel
to remove it don't I want to factor numerator and cancel out?
it would be x+3
so f(x) = 8?
plucky valve
so f(x) = 8?
yep
bleak sphinx
vocal sleetBOT
livid horizon
!status
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What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
1
livid horizon
Do yk the expansion for sin(a+b)?
bleak sphinx
I do not
bleak sphinx
No this would be my first time working with this
bleak sphinx
Oh
Any chance u could solve it and show me your work? Maybe I can work another one off using a similar problem
livid horizon
sin(a+b) = sin(a)cos(b)+sin(b)cos(a)
This is all you've to use
bleak sphinx
Hmm I’ll try watching YouTube videos
unique sluice
im not sure how to differntiate this, i asuume it would be using U sub? answer is B
vocal sleetBOT
im not sure how to differntiate this, i asuume it would be using U sub? answer i...
vast shale
yes
unique sluice
my u would be 1 + 4x^2 ?
vast shale
yes
merry cosmos
im not sure how to differntiate this, i asuume it would be using U sub? answer i...
B. Option is correct
vast shale
im not sure how to differntiate this, i asuume it would be using U sub? answer i...
dont u mean integrate?
unique sluice
ye
vast shale
ok but u didnt do the actual integration lol
unique sluice
would i have to distrubute the 1/2 first and then integrate
merry cosmos
Wrong
vast shale
you have [
\int \f x{\s{1+4x^2}} \dd x \overset{u=1+4x^2}= \f18\int\f{\dd u}{\s u}
]
twin meteorBOT
vast shale
so integrate the 1/sqrt(u)
unique sluice
yes, and sqrt u is = to u^1/2
unique sluice
also what 1/2?
so uh
unique sluice
would i have to distrubute the 1/2 first and then integrate
hum
vast shale
use the fact that [
\int x^n \dd x = \f{x^{n+1}}{n+1} + C \qq n \in \R\setminus\set{-1}
]
twin meteorBOT
unique sluice
oh wiatt
unique sluice
unique sluice
waht
restive echo
merry cosmos
No you missing integral sign
unique sluice
ye im not sure where i am goign wrong
woeful cobalt
you did it wrong
you set u to 4x^2
and then do it from there
you will get a inverse trig integral
unique sluice
you set u to 4x^2
but there is also a plus 1 under the sqrt
woeful cobalt
thats fine
just do it and then you will get it
you will get the 1/8
but you will have integral of 1/sqrt(1+u)
oh wait
im too dumb
you got to set u to 2x
and have it with a square
unique sluice
wait wait what, where
woeful cobalt
this has 1/8 times the integral of du over sqrt(u)
and the you integrate it to get 1/8(2sqrt(u))
your mom
my bad its 35
unique sluice
and the you integrate it to get 1/8(2sqrt(u))
but the 1/8 is a constant on the outside
im not sure that is meant to be integrated
woeful cobalt
but the 1/8 is a constant on the outside
oh well yeah you can pull that out
but it would simplify to that
cause integral of $1/(s{x}) is just 2(s{u})$
twin meteorBOT
memeprime.
woeful cobalt
oop
i suck at this
either way you do that and then you plug in 1 + 4x^2 to get the result
which would be 1/4(sqrt(1+4x^2))
unique sluice
which would be 1/4(sqrt(1+4x^2))
ok, i folllow along with most of this. i just dont understand this. how do we go from 1/8 to 1/4
woeful cobalt
because 1/8 * 2 = 1/4
from the integration
because we need the 2 from the 2sqrt(2)
if you differentiate 2sqrt(2) you will get 1/sqrt(2)
and vice verse with integration
unique sluice
because we need the 2 from the 2sqrt(2)
how do we get this
unique sluice
cause integral of 1/sqrt(u) is 2sqrt(u)
so we were supposed to integrate that like that
you dont integrate after you plug u back in?
you integrate before?
woeful cobalt
you dont integrate after you plug u back in?
you are just reversing the process then
woeful cobalt
👍
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frosty thorn
I have this graph and i’m asked for the local minimum
vocal sleetBOT
I have this graph and i’m asked for the local minimum
astral shadow
,rccw
frosty thorn
in this instance it would be -1,-3 but what would happen if the point were the lowest
twin meteorBOT
astral shadow
in this instance it would be -1,-3 but what would happen if the point were the l...
What do you mean if it were the lowest?
wide vector
if it were the lowest it would be the min
wide vector
ah ok
noble spindle
Do you know the definition of a local minimum?
frosty thorn
uhh yes but i need clarification because my teacher said “it is and isnt”
intuition tells me it would be but i’m not sure why it wouldn’t be one
noble spindle
https://en.m.wikipedia.org/wiki/Maximum_and_minimum
You can read about it here.
noble spindle
intuition tells me it would be but i’m not sure why it wouldn’t be one
From my undestanding (hope it true) it is not because there are no values left of it.
Like there doesnt exist a single $\epsilon > 0$ such that $f(-4) \leq f(-4 - \epsilon)$
twin meteorBOT
casework
noble spindle
Because well it isnt defined there
rare pike
intuition tells me it would be but i’m not sure why it wouldn’t be one
it depends on the interval you're talking about
if you're talking about $x\in\mathbb{R}$ then (-4,-5) would be considered as a global extrema
twin meteorBOT
Anonymous
frosty thorn
alr thanks
rare pike
while for example if you considered the function for $x\in[-2,1]$ then (0,0) is also a local minimum
twin meteorBOT
Anonymous
frosty thorn
he said it really didn’t matter if we considered it to be one or not i was just confused why it wouldn’t ever not be
rare pike
ya they probably arent picky abt it
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vast shale
Claim
vocal sleetBOT
@vast shale Has your question been resolved?
vast shale
<@&286206848099549185>
vast shale
I dont know where to start
Start with the rational roots
vast shale
Start with the rational roots
Yo how?
vast shale
<@&286206848099549185>
vast shale
mhm what type of math is this
vast shale
<@&286206848099549185>
I'll try
Quadratic
I believe
Tho i took questions for sequence and series and straight line 🥴
vast shale
Quadratic
so first find the root of
so did algebra yk?
with adding 2 first of all I think
could be wrong tho
Naw
Dont
You have to do all this
Without a calculator
Pen and paper
3 minutes max
I dont think they want me to solve from roots
That would be too long
vast shale
since m is a non zero integer, it's a integer (whole number) and is either negative or positive
Positive or negative
Integer
Right mb
vast shale
since m is a non zero integer, it's a integer (whole number) and is either negat...
except zero of course
Yeah
vast shale
Right mb
I'm thinking of this problem with you no worries 😭
Yo thanks 😭
Cuz im giving a test simultaneously
Cuz i have a test tomorrow 😭
And this was from the last test
😭
Im depressed af
no other common factors than one is relatively prime numbers
vast shale
Im depressed af
this is about math, not a vent channel 💀
vast shale
no other common factors than one is relatively prime numbers
since prime numbers can't be negative, m and r are probably positive
vast shale
nah I moved all from that after you said it wouldn't work
Okie
vast shale
no other common factors than one is relatively prime numbers
these type of things are for me and you for you to follow along with my thinking yk
vast shale
these type of things are for me and you for you to follow along with my thinking...
Yep
Sure
vast shale
one root of the equation 2000x^6 + 100x^5 + 10x^3 + x - 2 = 0 is of the form m + sqrt n divided by r
vast shale
Yep
BRO WE GOT THIS
I FOUND A QUESTION LIKE THE ONE YOU ASKED ON AN OLD FORUM
Yoooo
Send the soln
@vast shale
vast shale
Send the soln
lmao I was reading through the question to try and explain it to you
Lmao
Try that
since it's just math speak atp
vast shale
since it's just math speak atp
Send the link atleast
To the solution 😭
-1+ 161= 160 divided by 40 equals 4 ohh it's 4
vast shale
Send the link atleast
vast shale
To the solution 😭
lmao I was just thinking about the solution ngl
I go blind
Those are too many letters
vast shale
Those are too many letters
IKKK that was why I was reading it so that I could condense it
vast shale
Im dumb thanks
I'll just explain it to you
vast shale
I'll just explain it to you
Naww i got it
vast shale
Yooooooooo why did i not see the GP FR FR FR
I just put the problem in google
I understood whats written
vast shale
I just put the problem in google
I did not get any results ☹️
vast shale
Naww i got it
how did you get it though? I just gave you the answer
vast shale
how did you get it though? I just gave you the answer
I mean i saw the solution and understood it?
That was what i was meaning to say
And in the future, i would use this technique to get answers for similar questions?
vast shale
I failed in solving this particular question, but not the next time!
vast shale
I mean i saw the solution and understood it?
yea but you have to understand it so that you could do the problem without seeing the solution yk
so that you won't bomb your test
vast shale
yea but you have to understand it so that you could do the problem without seein...
I did understand the working
vast shale
I did understand the working
okay I hope so
vast shale
so that you won't bomb your test
thats gonna happen nevertheless 😭
vast shale
okay I hope so
Yeah
vast shale
This is probably binomial theorem
is that like pre calc or something?
what type of math is that
Idk wht type
Of course the binomial theorem is taught in pre-university algebra courses. It is part , for example, of the Common Core curriculum which is broadly used in the US nowadays
Says quora
vast shale
is that like pre calc or something?
Lmao i gtg
DM me if you get an answer or want a solution
Thanks for helping
.close
vocal sleetBOT
vast shale
Lmao i gtg
yea bye bye
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Available help channel!
rare oyster
help anyone?
vocal sleetBOT
help anyone?
north relic
<@&286206848099549185>
Sorry, I don't know vectors.
rare oyster
oh okay
anyone else?
<@&286206848099549185>
<@&286206848099549185>
someone?
<@&286206848099549185>
vast shale
What does it mean by increasing order?
rare oyster
help anyone?
ecah of the scalar factors increases in numerical order
rare oyster
help anyone?
like how we know that c is the smallest because x has to be flipped around in the v vector
oblique swift
hi
rare oyster
What does it mean by increasing order?
or you?
rare oyster
help anyone?
^
vocal sleetBOT
@rare oyster Has your question been resolved?
rare oyster
<@741144799473696808> Has your question been resolved?
no
rare oyster
hey guys, a little help
rare oyster
@graceful ibex
gusty beacon
hey guys, a little help
r, w, and u
you just have to check the amount of times you need to travel along the x vector lines
and make sure that they are like 2.3 away from their starting point
rare oyster
I don't think thats correct..
it shouldn't be based on that
because you have to look at the actual grid
gusty beacon
you just have to check the amount of times you need to travel along the x vector...
what are you talking about we are looking at the actual grid by doing this analysis
c is a variable that's free
which means what you need to analyze is the x vectors of the grid
rare oyster
yeah, your logic makes sense actually... it's just not showing up as correct when I'm plugging this into the verification system 💀
gusty beacon
you just have to check the amount of times you need to travel along the x vector...
that should be correct according to the above analysis
rare oyster
yeah exactly
but it is still not working
idk what to do now
@gusty beacon any ideas
gusty beacon
oh that makes sense
yeah it should fall on the same parallel line to the y-vector lines
rare oyster
yeah because it satisfies the parallelogram formatio
gusty beacon
rare oyster
wait I had another question, it's a little harder but do you think you can help
gusty beacon
oh sure
gusty beacon
oh shoot I didn't get that far in linear algebra yet sorry idk if I can help with this one
vocal sleetBOT
@rare oyster Has your question been resolved?
fossil shoal
Let vector u=(ux, uy) and vector v=(vx, vy)
Construct the matrix using these as rows, what does it look like?
vocal sleetBOT
@rare oyster Has your question been resolved?
rare oyster
like a series of rhombuses?
thin wave
this is for homework, ive been stuck on trying to solve this problem using the identities but i dont know what im doing wrong... i dont know how to solve this. i only got the last one right cause of inverting tan
vocal sleetBOT
this is for homework, ive been stuck on trying to solve this problem using the i...
thin wave
trigonometric problem
copper crypt
imo just use sin^2+cos^2=1
thin wave
I've tried but for some reason it gets it wrong so I was trying to mess around
I don't know if I'm doing it wrong though
I tried using tan^2=1+ sec^2 as well
thin wave
Yeah I got something like that too, although I put it as 3/sqrt13
Or wait
Maybe I forgot to put negative
thin wave
My computer is messing up rn, i'll have to try it again later, but thanks for the help
thin wave
wait, i realize i misunderstand
why is it 2/3 ? isnt that tan not sin?
or theres other identities
thin wave
so sin=(2/3)cos
wait so then how is this implemented into the equation? it just turns to 2/3 is sin or?
oh wait
ok i see the x
idk how to solve that though
nvmind im stupid. i figured it out
thanks
how do i do the sin part of it?
i see that cos= sin/tan, but how do i solve that in the equation
vocal sleetBOT
@thin wave Has your question been resolved?
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@thin wave Has your question been resolved?
thin wave
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unique sluice
im not sure, my intial idea was to plug in 12 and 15 for t and then subtract the outcomes
vocal sleetBOT
im not sure, my intial idea was to plug in 12 and 15 for t and then subtract the...
unique sluice
im not even sure
flat whale
im not sure, my intial idea was to plug in 12 and 15 for t and then subtract the...
Your limits are right, but not the rest. You have to use the integral.
unique sluice
im not sure i understand what you mean, are you saying do this
twin meteorBOT
𖤍
unique sluice
differnce in time hummm
fancy
but the time would not be starting at 0
thats where the equations we are solving begins yes
well in thta problem it tells you from 9 am to 9 pm. so you are starting at 9 am. it tells you your starting point, which a starting point would be 0
my starting point is stated as midnight in the problem
meaning start at 12 and count up till noon and 3 pm
which would be 12 and 15
wait im still confused how to solve my probelm tho
twin meteorBOT
𖤍
vocal sleetBOT
@unique sluice Has your question been resolved?
unique sluice
uh
vocal sleetBOT
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silent linden
help where do go from here
vocal sleetBOT
help where do go from here
vocal sleetBOT
@silent linden Has your question been resolved?
vocal sleetBOT
@silent linden Has your question been resolved?
silent linden
😭
vocal sleetBOT
@silent linden Has your question been resolved?
vocal sleetBOT
@silent linden Has your question been resolved?
spiral turtle
@silent linden it's been quite a long time for me and QM, but if I recall this problem correctly, the trick will come down to using the definition of the matrix exponential.
wise marten
What is the simplest rational function that has a removable discontinuity at 𝑥=−2 and an infinite discontinuity at 𝑥=0?
pallid zenith
you can just create these features
use a product
so create one with the one feature
then one with the other
wise marten
what is a feature
pallid zenith
their product will have both
pallid zenith
what is a feature
a given discontinuity, here
whats the simplest rational fn with an infinite discontinuity at x=0?
wise marten
f(x) = 1/x ?
twin meteorBOT
pallid zenith
there is
its at x=0
but, its removeable
(we can just write x/x=1/1=1)
so, with that template
what fn has a removeable discontinuity at x=-2?
wise marten
yea
pallid zenith
this isnt defined
so, it follows that if you want to make a rational function with a discontinuity like this
we want something like f(x)/f(x)
where f(c)=0 at whatever c where you want the discontinuity to be
make sense?
we want 0/0 at some x=c
so make f/f where f(c)=0
pallid zenith
$\frac{(x+2)}{x(x+2)}$
twin meteorBOT
jan Niku
pallid zenith
try: what if x=0? what if x=-2?
pallid zenith
np
wise marten
now kinda a weird question
when im graphing it
it shows the same when i put f(x) = and without it
is it good practice to put f(x) = in desmos
even though it dosent change the product
like
these give the same thing
but is it better practice to do the first one?
.close
vocal sleetBOT
vocal sleetBOT
✅
round plover
rearrange 3.75 = ar to a = 3.75/r
then you can substitute it into the other formula and solve for r
or the other way around
where did you get up to
\begin{align*}
\frac{15}{4}&=ar\
20&=\frac{a}{1-r}\
\
a&=\frac{15}{4r}\
20&=\frac{\frac{15}{4r}}{1-r}\
&=\frac{15}{4r-4r^2}
\end{align*}
do you have this at least
twin meteorBOT
Desync
vocal sleetBOT
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shy pond
How would I write an equation for Y1?
gleaming shard
vocal sleetBOT
pale perch
that just hurts my eyes
who allowed that
$\frac{\sqrt{2}}{5} - \left(1-\frac{1}{5}\right) \cdot \frac{2}{5}$
twin meteorBOT
AℤØ
pale perch
have you tried anything?
gleaming shard
.close
vocal sleetBOT
pale perch
flat whale
cobalt crypt
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rancid kestrel
I’m doing trinomial factoring by grouping and I see that I don’t have the same numbers in the parenthesis like I’m supposed to (5x + 2*6) and (5x + 2) what should I do?
vocal sleetBOT
I’m doing trinomial factoring by grouping and I see that I don’t have the same n...
rancid kestrel
Forgot to circle a 3 btw
rancid kestrel
Wait where am I dividing …
smoky vale
15x^2/3x=5x
i just say divided while you are really factoring out
because its not just factoring out the x, its also the 3
(15x^2+6x)
((3x)(5x)+(3x)(2))
(3x)(5x+2)
drifting jackal
I’m doing trinomial factoring by grouping and I see that I don’t have the same n...
From your second line to the last one, you circled one of the 3s but not the other, yet you factored out a 3
Both terms have a 3, you didn't factor it out of the second term
vocal sleetBOT
@rancid kestrel Has your question been resolved?
urban edge
Why is the tension equal to the weight? Should it be the sum of the gravity and electric forces?
vocal sleetBOT
Why is the tension equal to the weight? Should it be the sum of the gravity and ...
true grail
Why is the tension equal to the weight? Should it be the sum of the gravity and ...
the electrical forces are pushing the balls apart and thus making them be higher than they otherwise would, which is why the tension is very slightly less than the weight
urban edge
the tension is .049N, which is mg
urban edge
it doesnt say, but 9.8 and 9.801 shouldnt make too much of a difference
true grail
my point is it might be 10
urban edge
unless the electric force is pieces compared to gravity
true grail
this is from a book right?
urban edge
yes
true grail
pieces?
urban edge
negligible
true grail
does it say at the start of the questions to use any particular value of g
urban edge
the tension force should be more, not less
true grail
hmm
wait
hold on
why is the answer giving you the tension when the question only asks for sign and magnitude of the charges?
scenic ravine
T is required to solve this though isn't it ?
scenic ravine
Because you don't know the electrostatic force you need it to balance components
true grail
since the verticals got to counteract grav
urban edge
just calculated, its like a 0.0002 difference
not enough to round
thanks for your help
.close
silver kettle
I need help proving a bijection between any two ordered fields with LUBP is order isomorphic
vocal sleetBOT
I need help proving a bijection between any two ordered fields with LUBP is orde...
sacred tulip
silver kettle
I have a map $f\colon F_1\to F_2$ defined by $f=\alpha_1\circ\beta_1$ where $\beta_1\colon F_1\to DC$ and $\beta_1(f) = { q\in\mathbb{Q} \mid i_1(q) < f }$ where $i_1$ is the unique injective map from $\mathbb{Q}\to F_1$ and $\alpha_2\colon DC\to F_2, \alpha_2(S) = \sup S$
twin meteorBOT
94tj
silver kettle
I (think) I know how to do it from $\mathbb{R}\to F$ but not sure when its abstracted like this
twin meteorBOT
94tj
silver kettle
For example for $f(a+b)=f(a)+f(b)$ I have something like the dedekind cut $\beta_1(a+b) = {q\in\mathbb{Q} \mid i_1(q)<a+b}$ but how do I find the supremum of this in $F_2$?
twin meteorBOT
94tj
silver kettle
I'm pretty sure I need to apply $\sup (A+B) = \sup A+\sup B$ but I don't know when to do that and also how to consider the supremum in $F_2$ since this DC "represented" by things in $F_1$ if that makes sense
twin meteorBOT
94tj
vocal sleetBOT
@silver kettle Has your question been resolved?
silver kettle
<@&286206848099549185>
vocal sleetBOT
@silver kettle Has your question been resolved?
silver kettle
.close
mellow rampart
vocal sleetBOT
vocal sleetBOT
vocal sleetBOT
Available help channel!
vast relic
vocal sleetBOT
vast relic
specifically part 2
hoary cypress
and the multiples of 3 and 5
aand then remove the common terms which were counted twice
vast relic
so i know that i need to sum the multiples of 3 and the multiples of 5
and the common term is 15
vast relic
but i dont know how to make it a function of JUST n
vocal sleetBOT
vast relic
.reopen
unique sluice
whats the reasoning behind this being false
vocal sleetBOT
whats the reasoning behind this being false
flat whale
whats the reasoning behind this being false
Product rule for derivatives
unique sluice
Product rule for derivatives
are you fimilar with rieman sums
rancid otter
are you fimilar with rieman sums
i dont think riemann sums are needed for this
flat whale
are you fimilar with rieman sums
?
flat whale
whats the reasoning behind this being false
What does your problem have to do with Riemann sums
coarse marten
im not sure
vocal sleetBOT
@unique sluice Has your question been resolved?
languid apex
vocal sleetBOT
vocal sleetBOT
@languid apex Has your question been resolved?
restive ermine
The A comes from the term $x^2/x+1$
twin meteorBOT
The Mad Pirate
restive ermine
the idea behind partial fractions is to transform an algebraic equation in terms of a sum of algebraic terms
in true what you actually end up calculating are the residues in the complez plane for each pole, in this case the pole in z= 0 with multiplicity 2 and z= -1 with multiplicity 1
restive ermine
the equation will be Ax(x+1)+B(x+1)+Cx^2 = 3x^2+x-1 whch leads to the linear equations A+C = 3 , A+B = 1 and B = -1 , so the end result is B = -1 . A = 2 and C = 1
restive ermine
Basically you would end up with and unsolvable set of linear equations if you didnt had the A/x term
since you would had more unknowns than equations in that case
Are you planning on doing a stem carreer in college ?
$\frac {3x^2+x+1} {x^2*(x+1)} = \frac{2}{x} + \frac{-1}{x^2} + frac{1}{x+1}$
twin meteorBOT
The Mad Pirate
vocal sleetBOT
Available help channel!
sage mirage
Please help
vocal sleetBOT
Please help
vocal sleetBOT
@sage mirage Has your question been resolved?
vocal sleetBOT
@sage mirage Has your question been resolved?
surreal lotus
hi does anyone know where i went wrong?
vocal sleetBOT
hi does anyone know where i went wrong?
surreal lotus
it doesn’t factorise
gaunt sparrow
Can't you just solve for y with the quadratic equation or by completing the square?
gaunt sparrow
Yep
surreal lotus
thanks
gaunt sparrow
You can probably start from the initial equation and multiply everything by sin
fickle snow
Can anyone help me solve this i
vocal sleetBOT
Can anyone help me solve this i
cobalt ocean
,rotate
twin meteorBOT
fickle snow
Please i have a test tomorrow <@&286206848099549185>
fickle snow
😭nah cause I am going to fail
woven dragon
lol same i have test tomorow
woven dragon
nah this seems hard i dont want to help u
fickle snow
You are in high school?
<@&286206848099549185>
<@&286206848099549185>
<@&286206848099549185>
. close
.close
arctic mantle
languid ridge
Um can someone help me solve this, my teacher said that this is going to have something like this on quiz,
If G varies inversely with (2h+3) and g=4 when h=1, find G when h=3
I dont get the question, i think imma find the K, but do i need substitute it
The question is this
If G varies inversely with (2h+3) and g=4 when h=1, find G when h=3
vocal sleetBOT
@languid ridge Has your question been resolved?
split wind
do you know what does G varies inversely with (2h+3) means mathematically?
like can you write an equation about them?
split wind
nah
languid ridge
What do you do then?
split wind
e.g.
if x varies directly with y, then x=ky
if x varies inversely with y, then x=k/y
for some k that you'll have to find
split wind
e.g.
if x varies directly with y, then x=ky
if x varies inversely with y, then x...
using this can you write an equation about G and (2h+3)?
languid ridge
Maybee
split wind
let's try
languid ridge
Okayy what to do first?
split wind
e.g.
if x varies directly with y, then x=ky
if x varies inversely with y, then x...
try to understand which to use first
languid ridge
It inversely so x=k/y?
languid ridge
The question is this
If G varies inversely with (2h+3) and g=4 when h=1, find G...
This said inversely so? X=k/y?
split wind
Next, what is x and y in this case?
split wind
nope
languid ridge
Ummm
languid ridge
Okay
split wind
Sentence 1:
If G varies inversely with (2h+3)
Sentence 2:
If x varies inversely with y
split wind
The question is this
If G varies inversely with (2h+3) and g=4 when h=1, find G...
what will be the x and y in this question?
split wind
Sentence 1:
If G varies inversely with (2h+3)
Sentence 2:
If x varies inversely ...
read carefully how I place the varibles in the sentence
languid ridge
Y is (2h+3)
split wind
read vertically on which is pairing to which
languid ridge
X is h3?
split wind
x is G
split wind
languid ridge
I thought we gunna find G
split wind
so, since now we know that the x is G, and y is (2h+3)
languid ridge
So? K is missing?
split wind
e.g.
if x varies directly with y, then x=ky
if x varies inversely with y, then x...
we can plug those expressions into
Let's rewrite this sentence from:
"If x varies inversely with y, then x=k/y"
to:
"If G varies inversely with (2h+3), then G=k/(2h+3)"
all good till here?
languid ridge
Yeahh
languid ridge
K=xy?
split wind
Let's rewrite this sentence from:
"If x varies inversely with y, then x=k/y"
to:...
use the bottome one from now on
languid ridge
The question is this
If G varies inversely with (2h+3) and g=4 when h=1, find G...
Then what will we do with h3?
split wind
The question has 3 parts
"If G varies inversely with (2h+3)"
"and g=4 when h=1,"
" find G when h=3"
we have done the first part, now we need to use the information in the 2nd
Part 1, we have:
G=k/(2h+3)
and Part 2, we have
G=4 when h=1
split wind
so we plug in those numbers into the equation we found in part 1
languid ridge
We do what nextt?
split wind
from all the info till Part 2, we can rewrite the equation into:
G=20/(2h+3)
split wind
yep
languid ridge
Waitty
split wind
So answer is 2.22
that is rounded to the hundredths place
languid ridge
Can i ask you to give me one question ill solve it my self
languid ridge
Can i ask you to give me one question ill solve it my self
Just to be suree
split wind
If a varies inversely with (5b-2), and a=2 when b=2, find a when b=-1
split wind
yes
split wind
??
languid ridge
Waitttt
languid ridge
I thought i was wronggg for a second
languid ridge
Whyyy?
split wind
finish this first and I'll tell
split wind
,calc -16/7
twin meteorBOT
Result:
-2.2857142857143
since it's -2.285... it will be rounded to -2.29
languid ridge
Ohh right
split wind
Whyyy?
Now
it's because you'll have the formula x and the question x
same for y
e.g.
If (2x+1) varies inversely (y-1)
languid ridge
Y= y-1
split wind
there we go
languid ridge
Wait lemme fixx
languid ridge
X= y-1 and y= 2x+1
split wind
you can't do that too, you'll still mix them up
the point is you can try get rid of the formula x and y
but if it's too hard for you
you can just plug in weird symbols
lol
so that you won't be using your teacher's symbols in the exams
languid ridge
Thennn what to do?
split wind
like we have $x=\frac{k}y$
languid ridge
Hat symbol
twin meteorBOT
Biscuity
split wind
if the question is
(2x+1) varies inversely with (y-1)
then we can write $(2x+1)=\frac{k}{(y-1)}$
twin meteorBOT
Biscuity
split wind
and then as you have suggested eariler
languid ridge
Wait what is x then?
split wind
$(2x+1)(y-1)=k$
twin meteorBOT
Biscuity
split wind
If (2x+1) varies inversely (y-1)
we don't know yet, since this question doesn't have the 2nd part
languid ridge
Ohhhh okay
languid ridge
Then what to do?