if you don't have another mass anywhere (or, have masses infinitely apart) there is no gravity
#help-13
versed jasper
versed jasper
sad
versed jasper
wdym
surreal frost
the central intensity theory explains that
at the center of any force
the intensity is the greatest
Hehe
central force intensity theory*
afk rq
surreal frost
So
it explains that at the center of every force
the intensity of the force
is the stronges
afk
silver ibex
Back
silver ibex
Okay
surreal frost
thats the source
dire geode
<@&268886789983436800>
silver ibex
Bluds cooked
versed jasper
riemann is a genius
woeful isle
Lol question so stupid riemann himself came to bash you for it
versed jasper
REAL
woeful isle
That gotta be some sort of achievement
silver ibex
That’s wild bro
fallen root
the intensity is the greatest
that must be why your mum eats so much
silver ibex
Damn
fallen root
the centre of her body i.e. her stomach has the strongest gravitational attraction
surreal frost
The past size intensity theory
short pumice
okay
surreal frost
explains that in the past, organisms were bigger
short pumice
Please keep help channels to actual math help questions
void sand
surreal frost
but..
short pumice
I am going to close this. @surreal frost if you want to screw around, use #chill or #discussion
cedar kilnBOT
cedar kilnBOT
✅
short pumice
read #❓how-to-get-help
surreal frost
#how to get help
short pumice
And do not troll and waste our time
void sand
.close
cedar kilnBOT
void sand
dire geode
💥
versed jasper
that must be why your mum eats so much
LMFAO
hexed ocean
🤡
cedar kilnBOT
Available help channel!
crimson sedge
Could anybody please explain this to me, im not sure what it means in this section
crimson sedge
<@&286206848099549185>
cedar kilnBOT
@crimson sedge Has your question been resolved?
cedar kilnBOT
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woeful jasper
Emmmm
woeful jasper
Is it ok if I ask physic question
Only physic 11 though
So
How did u identify
Work out and work in and p out and p in
cedar kilnBOT
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woeful jasper
.close
fringe moth
Can someone explain me with this topic
cedar kilnBOT
Can someone explain me with this topic
fringe moth
I struggle
cedar kilnBOT
@fringe moth Has your question been resolved?
cedar kilnBOT
@fringe moth Has your question been resolved?
fringe moth
is this correct?
nova frigate
You may translate it into english
The two results are obvious if you expand the right part
(using the formulas of x_1 x_2)
cedar kilnBOT
@fringe moth Has your question been resolved?
normal glade
https://youtu.be/wP4vOS4SmYA?feature=shared
Does this work in all cases?
normal glade
https://youtu.be/wP4vOS4SmYA?feature=shared
Does this work in all cases?
It's in Hindi but you should be able to tell with the numbers shown
Put at 2x speed
twilit bison
looks right
normal glade
looks right
Could you please explain how it works?
I didn't understand why or how it works
desert nova
https://youtu.be/wP4vOS4SmYA?feature=shared
Does this work in all cases?
i think it works
twilit bison
ABxCD = (10A+B)(10C+D) = (100AC + BD) + 10(AD+BC)
desert nova
it's like dissecting the two digit number into its expanded form, and it looks similar to doing FOIL method
normal glade
Oh
So it like when we reverse digits in a 2 digit number
Takes 10s place as 10x
Well thx
.close
crimson sedge
I've been struggling a little with the proof for the Boundedness theorem
crimson sedge
I don't quite understand how for every n, there's a x_n where f(x_n)>n
like, isn't n an index
where did the inequality f(x_n)>n even come from
vast pike
n is a natural number ...so you can use it as an index or as a value
vast pike
for instance a_n=2n is a valid sequence
vast pike
in this case, a_n>n ,,,as in the proof
crimson sedge
since i know those two are connected
alright uh
let me go through the first sentence
vast pike
since i know those two are connected
ok just substitute f(x_n)>n with f(x_n)>b_n where b_n=n
crimson sedge
so we have an f that isn't bounded above
which means f goes to infinity
cause it isn't bounded
like f(x)=1/x
vast pike
which means f goes to infinity
right ... but you don t know a priori where f goes at infinity
crimson sedge
but we know it definitely goes into infinity
since its unbounded
and its continuous
vast pike
right ...so it must exists a sequence x_n such that ....
crimson sedge
so now the sequence (x_n) is defined across the interval [a,b]
the sequence should be (x_n) where x_n=x
now we know its infinitely dense, [a,b]
so n can go to infinity
so how does f(x_n)>n?
like on what basis do we make such a statement?
whats the, uh, proof, or logic behind f(x_n)>n
vast pike
you define x_n such that it does that specific thing
crimson sedge
what specific thing
vast pike
x_n are not just random numbers in [0,1]
vast pike
so how does f(x_n)>n?
this one
vast pike
yeap x_n is like (0.0...01, 0.0...02, ) and so on
depends on f actually
crimson sedge
it doesn't?
like if f(x) is continuous along [0,1]
that means x must be every value from [0,1]
vast pike
like if f(x) is continuous along [0,1]
here the continuity plays no role
vast pike
to be a sequence between [0,1] doesn't mean that it is infinitely small
crimson sedge
well if x cant be 0.0...01
vast pike
the definition clearly states "If f(x) is continuous on [a,b]..."
yes I know, but your doubt is not related with the property of being continuous... you didn't understand how we know that f(x_n)>n
crimson sedge
that means it clearly contradicts the statement that f(x) is continuous isn't it?
crimson sedge
yes I know, but your doubt is not related with the property of being continuous....
right
yep
so we don't know the rate in which f(x_n) increases
we know n will increase to infinity
but that doesn't mean f(x_n) will increase to infinitely faster than n
to maintain the inequality f(x_n)>n
vast pike
let's start from the beginning ... I will construct a sequence such that f(x_n)>n ok?
crimson sedge
right
vast pike
so f is unbounded ..so it is not true that f(x)<1 for every x in [0,1]
so it must exists some x_1 in [0,1] such that f(x_1)>1
crimson sedge
wait what does it exactly mean by unbounded
vast pike
note that this x_n could be equal to 1/2 for example...you don't know how much near to zero it is
crimson sedge
i mean i know bounded means |f(x)| <= M for some M
vast pike
unbounded = not bounded
crimson sedge
yep but what does that imply
vast pike
i mean i know bounded means |f(x)| <= M for some M
that this M doesn't exists ...even for M=1
vast pike
ok
vast pike
it may not be every x
right ...you need just one x
vast pike
only some x will make f(x)>1
right
crimson sedge
yep
vast pike
so we can do the same argument for M=2...so we can find x_2 in [0,1] such that f(x_2)>2
crimson sedge
yep it is guaranteed to find a real number M whereby f(x)>M for some x
vast pike
in that way you are able to construct a sequence x_n such that f(x_n)>n
crimson sedge
but here the proof says for every natural number n
there exists a x_n where f(x_n)>n
if its for some number n there must exist f(x_n)>n that makes sense
vast pike
but here the proof says *for every natural number n*
are you saying that my argument doesn't work for n=100 maybe?
crimson sedge
well we dont know when f(x) goes into infinity
vast pike
I was asking a different thing though
crimson sedge
so f(x_n) where n=100 may be at 3
x_100 may be 3.1238719
well then f(x_n) certainly wouldn't be larger than 100
vast pike
so f(x_n) where n=100 may be at 3
no ...because f is NOT bounded in [0,1] ...not [0,3]
crimson sedge
right I'm a little confused
vast pike
so ,... is it okay my argument for n=100 ?
crimson sedge
right n=100 is certainly correct
n will go to infinity
x_100 must be somewhere say, 0.1872368172
vast pike
ok so if you cannot find a bug for every n...then you are sure to construct such a sequence
if not, tell me a specific n when my argument stops to work
crimson sedge
right, my argument is that x_100=0.1283761827368, however f(x_100) it may be 0.0011
so f(x_100) would not be larger than n
thus f(x_n)>n is invalid for every n
vast pike
x_100 has the property that f(x_100)>100
vast pike
because it exists
vast pike
do you think that such x_100 could not exists maybe ?
crimson sedge
x_100 definitely exists
since x_n is defined along the interval [0,1]
even x_298719283 exists
yes
doesn't mean that f(x_298719283)>298719283
vast pike
it seems like your x_100 is a random number, isn't it?
crimson sedge
f(x) is unbounded, doesn't mean that f(x)=infinity for all x in [a,b]
well
x_100 is certainly a value between [0,1]
vast pike
ok another time
crimson sedge
we dont know exactly what x_100 is
vast pike
is it true that |f(x)|<100 in [0,1] for every x?
crimson sedge
see the problem is that the proof says for all n
not for some n
if its for some n
of course its correct
but now it states for all n
crimson sedge
yeah, and how do you show that f(x_100) must be larger than 100?
vast pike
I am not say that f(x_100)>n for every n
vast pike
yeah, and how do you show that f(x_100) must be larger than 100?
you have already showed it
vast pike
there must be some but not all x value
here
crimson sedge
what?
alright I'll
I'll go take a bath to clear my mind
I'll come back to this later
my brain is fried currently
thank you for the explanation
vast pike
crimson sedge
I'll try
plotting an unbounded graph from [0,1]
perhaps it'll be easier to understand visually
vast pike
in this first part continuity plays no role
crimson sedge
right
vast pike
then you will use it
cedar kilnBOT
@crimson sedge Has your question been resolved?
split nexus
Hello
split nexus
Guys I need help here
I need a really smart person to help me
<@&286206848099549185>
crimson sedge
just ask
weary flame
!da2a
cedar kilnBOT
No need to ask “Can I ask…?” or “Does anyone know about…?”—it’s faster for everyone if you just ask your question! See https://dontasktoask.com/
split nexus
So, basically, what is the coefficient of a 0,5 meters segment that is 15° away from the horizontal axis, like, how do I calculate that?
weary flame
coefficient?
gritty temple
Prolly asking about length of projection
Just multiply it with cos 15 for it's length on x axis and sin15 for y axis
cedar kilnBOT
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inner solar
When solving $\lim_{x\to2} \arcsin(\frac{1}{(x-2)^2})\ln(x^2-3)$ how to show that $\arcsin(\frac{1}{(x-2)^2})$ is not defined at neighbourhood of 2?
wraith daggerBOT
Slowaq
cedar kilnBOT
cedar kilnBOT
Available help channel!
clear pelican
Anyone can explain why the bounds are -5/2 and 5/2 ?
cedar kilnBOT
Anyone can explain why the bounds are -5/2 and 5/2 ?
clear pelican
The seccond part where you show it oscilates between -4/3and 4/3 is pretty easy with limits alegbra, but i just cant understand the bounds of /2 come in
dire geode
The seccond part where you show it oscilates between -4/3and 4/3 is pretty easy ...
they have a typo. should read the denominator is always $\ge 2n >0$ and numerator is bounded ... between $-5n$ and $5n$.
wraith daggerBOT
riemann
dire geode
so $\frac{-5n}{2n} \le a_n \le \frac{5n}{2n}$
wraith daggerBOT
riemann
clear pelican
Alr ty
How exacty is the numerator between -5n and 5n though?
As surely we have 4n(-1) + 0 as a minimum value and then 4n(1) +1 as a max value
So -4 - 4n +1
Thats where im getting tripped up
clear pelican
sin^2(n) is bounded below at 0 no?
dire geode
yea calc and onward is a lot of learning and memorizing tricks
clear pelican
Half my lectures are just my pure mathematics lecturer pulling some fancy tricks that noone would think of
.close
cedar kilnBOT
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Available help channel!
agile raft
I'm very lost
cedar kilnBOT
I'm very lost
dire geode
I'm very lost
did you use the hint at all
agile raft
did you use the hint at all
Nvm I see it now it's a geometric series I'm dumb
dire geode
fun problem
agile raft
I need to read more, just copied the problem to my paper and didn't read the hint
.close
cedar kilnBOT
cedar kilnBOT
Available help channel!
sturdy ermine
Hey
glad peak
-ln(x) = ln(x^-1)
earnest idol
think of it as 1/e^ln(5/t)
cedar kilnBOT
vestal bluff
square both equations and add them together
eager hemlock
Ooh thx!
runic condor
cedar kilnBOT
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@runic condor Has your question been resolved?
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@runic condor Has your question been resolved?
fervent jackal
have you tried chatgpt
cedar kilnBOT
@runic condor Has your question been resolved?
cedar kilnBOT
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Available help channel!
rapid lance
can someone give me a better explanation on why this is correct
rapid lance
what is shown that proves it’s a horizontal dilation
wait is it bc b is less than 0
wtf
bro i hate how they word the questions 😭
dusk goblet
$(3^x)^b = 3^{bx} = f(bx)$
wraith daggerBOT
knief
rapid lance
yes
dusk goblet
what is it
rapid lance
when the thing
dusk goblet
nope
rapid lance
wait
dusk goblet
yep
dusk goblet
who said anything about a parabola
rapid lance
stretches or shrinks horizontally
dusk goblet
generalize it to all functions
rapid lance
who said anything about a parabola
normally it’s a parabola tho
dusk goblet
stretches or shrinks horizontally
this is just reformulating the words in english
rapid lance
what
dusk goblet
saying it’s a horizontal compression is the exact same thning
i asked if you knew what it was
rapid lance
yea
dusk goblet
and all you did was just use a synonym
pale umbra
Kneief are you a helper
rapid lance
you did say explain it
dusk goblet
Kneief are you a helper
what
dusk goblet
you did say explain it
you didn’t explain it or demonstrate that you know what it is
rapid lance
you didn’t explain it or demonstrate that you know what it is
how do i explain what it is without describing it
dusk goblet
with math
symbols
that we use to communicate definitions
how does a horizontal dilation arise
dusk goblet
again you’re not at all doing what i’m saying
it’s ok to admit you don’t know
imagine you asked me what a vertical shift was and i just said it’s when the function is moved vertically
like what
no kidding
dusk goblet
restating it with synonyms isn’t indicative of understanding what it is
you can restate anything with synonyms while knowing absolutely nothing about it
rapid lance
what does it have a deeper meaning
dusk goblet
it would be better to say a vertical shift is a transformation of a function of the form f(x) + c for some constant c
rapid lance
see idk what that means
dusk goblet
now what is the transformation for a horizontal dilation
dusk goblet
see idk what that means
no way
rapid lance
bro what
dusk goblet
just say that instead of pretending you know by using synonyms
rapid lance
that’s not a constant
dusk goblet
is cf(x) a vertical shift?
this isn’t a vertical shift because i didn’t add the constant to the function
dusk goblet
ok then what is a horizontal dilation
we’ve established that adding a constant isn’t because it’s a vertical shift
what else can we do
rapid lance
when you divide or multiply x
dusk goblet
where?
rapid lance
uh
dusk goblet
when you divide or multiply x
and multiply by what?
dusk goblet
but use function notation
rapid lance
i hate that
dusk goblet
because f(x) = x is just one function
we want to generalize it to all functions
and 2x can also be confused with a vertical dilation since in this case it does the same thing
so you have to be more specific with what you mean
rapid lance
how would that be confused with a vertical
dusk goblet
because a vertical stretch by a factor of 2 for f(x) = x is also just 2x
dusk goblet
would you like to write it with coordinates
dusk goblet
for instance, a vertical shift can be represented as (x,y) -> (x, y + c)
dusk goblet
would 2x be a horizontal dilation and a vertical
you can classify it as either
but they’re not the same for all functions
rapid lance
why not
dusk goblet
consider a counter example
f(x) = x + 1
a horizontal dilation by a factor of 2 would be 2x+1 but a vertical stretch by the same factor would be 2x+2
2x+2 certainly isn’t the same as 2x+1
rapid lance
dumb that down
dusk goblet
to show that a horizontal and vertical stretch aren’t the same thing for all functions we just have to show that there is at least one function such that it’s not true
dusk goblet
i don’t get the difference
does 2x+1 = 2x+2
rapid lance
no
dusk goblet
there ya go
rapid lance
what
dusk goblet
they aren’t the same transformation then
rapid lance
was i supposed to understand
dusk goblet
that they aren’t the same transformation
rapid lance
is that all
dusk goblet
sure
dusk goblet
we still haven’t formalized what a horizontal dilation is
dusk goblet
use proper notation
rapid lance
what’s that
dusk goblet
either functional notation or with coordinates
rapid lance
ok
dusk goblet
for instance, a vertical shift can be represented as (x,y) -> (x, y + c)
here is an example with coordinates
rapid lance
x,y * c
dusk goblet
no that would be a vertical stretch
dusk goblet
(x,y) -> (x, cy) is a vertical stretch
dusk goblet
yes
rapid lance
or cx,xy
dusk goblet
that’s precisely what a horizontal dilation is
rapid lance
cx,cy
dusk goblet
no
rapid lance
what’s that
rapid lance
ok
dusk goblet
but i can write this using functional notation
f(x) -> f(cx)
because before the input was x, now it’s cx
dusk goblet
hmm doesn’t that look like what we had in our problem
dusk goblet
$(3^x)^b = 3^{bx} = f(bx)$
^
dusk goblet
so then we can safely say that it’s a horizontal dilation
rapid lance
ohhh yeaa
wraith daggerBOT
knief
rapid lance
you multiply exponents
dusk goblet
mhm
rapid lance
cause of the parentethees
dusk goblet
yep
dusk goblet
so then we can safely say that it’s a horizontal dilation
so you’re fine with this?
dusk goblet
not sure i can explain it any better
but i’ll finish explaining the problem
i’ve already shown why it’s a horizontal dilation so now we are between 2 answers
dusk goblet
$3^{bx} = 3^{-cx} = f(-cx)$
wraith daggerBOT
knief
rapid lance
yea
dusk goblet
a reflection over the y axis is of the form (x,y) -> (-x,y)
rapid lance
if the negative is on the x it reflects over the y axis right
dusk goblet
hence in our problem we have a horizontal dilation and a reflection over the y axis
dusk goblet
if the negative is on the x it reflects over the y axis right
yes
rapid lance
when does it reflect over the x axis
dusk goblet
and if it’s like (x,y) -> (x,-y) then it reflects over the x axis
it’s easy to visualize
rapid lance
and if it’s like (x,y) -> (x,-y) then it reflects over the x axis
how would i see this in like a function thingy
rapid lance
ohhh
dusk goblet
f(x) is really y
rapid lance
yea i remb
rapid lance
f(x) is really y
ik
ok if i see a problem like this im 2015 Steph curry swishing
i fr shouldn’t have taken pre calc im too lazy for ts
dusk goblet
lol
dusk goblet
ap pre calc
rapid lance
i needa pass the final
rapid lance
they came out with it last year right
fr?
dusk goblet
yes
rapid lance
it’s a new ap
dusk goblet
mhm
rapid lance
no wonder the videos are so ass
dusk goblet
yep
rapid lance
bro istg when i tell u this
the things we study and practice
are not on any tests or quiz
dusk goblet
lol the ap physics c e&m videos were fucking atrocious
rapid lance
like
i wish we had test formatted questions to practice
ts so dumb
i seen a video talking abt it
it’s like learning to build a house and then being told to build a skyscraper
and expecting to know how to do it
dusk goblet
math is fun
rapid lance
i hate
i took the class bc i thought it would be hard and it is but i was a different guy last year
i was on some academic power up booster
now idgaf and regret ts
ight im done yapping i gotta sleep
dusk goblet
interesting how you go from liking school to not
rapid lance
3.8 gpa to borderline crashing out
austere coyote
hey man don’t give up
dusk goblet
inspirational
austere coyote
schools hard don’t get me wrong I get it
I’m a senior in high school doing so many AP’s and internships but you can’t give up bro
dusk goblet
I’m a senior in high school doing so many AP’s and internships but you can’t giv...
what are you taking
rapid lance
marc you know what im talking about
austere coyote
It’s worth it If your doing stem or law or something
rapid lance
you study all of this stuff
and when the exam comes
you are expected to know some bs u didn’t study
austere coyote
yeah man I have over 30 college credits
rapid lance
wtf
austere coyote
As a senior
dusk goblet
you are expected to know some bs u didn’t study
they teach you how to think
dusk goblet
yeah man I have over 30 college credits
nice
austere coyote
Exactly
austere coyote
school should teach you how to think and problem solve
that’s why math and science is so important for students
Not necessarily because of the material
But because it teaches you how to think
rapid lance
i must be a below average problem solver
austere coyote
I mean look at the S&P 500 like a good portion of those ceos are engineers
austere coyote
i must be a below average problem solver
You’re not bro
rapid lance
trust
austere coyote
you need to learn how to think if that makes sense
I’m not calling you stupid
I’m saying that’s the key to all of it
Don’t give up
austere coyote
Once you find that one teacher who inspires you you’ll be set
dusk goblet
no
rapid lance
marc how much hours of sleep do you get
dusk goblet
how much elo do u have
in?
rapid lance
chess
dusk goblet
1700 rapid
austere coyote
marc how much hours of sleep do you get
Like 7-8
dusk goblet
but i quit
rapid lance
same
i skipped hella school
in the start of the year
mainly bc i didn’t wanna get out of bed
austere coyote
I got all A’s first quarter and now I’m just getting B’s bc it’ll show up as an A first semester for colleges
rapid lance
my school starts at 7 am
austere coyote
I just dgaf anymore
rapid lance
it’s good
austere coyote
my school starts at 7 am
Mine starts at 7:45
austere coyote
Nah bro I have a full schedule and dual enrollment classes😭
rapid lance
why
austere coyote
College credits
rapid lance
don’t you have enough
austere coyote
I wanna be an engineer and my school is goated
yeah but I want full rides and shit
rapid lance
how much money we talking
rapid lance
idk what that is
austere coyote
Georgia State too
rapid lance
but how much money once you get the job
austere coyote
York College offered hella and SUNY buffalo
Oh
Depends what part of industry but where I’m from the median is like 125 starting
rapid lance
fire
dusk goblet
are you from new york too?
rapid lance
what is md
dusk goblet
maryland
dusk goblet
MarylanD
rapid lance
that makes no sense
dusk goblet
Knief r u in college
yes
austere coyote
Where at bro
dusk goblet
nunya
austere coyote
U like it
dusk goblet
yes
austere coyote
What’s that
rapid lance
What’s that
ain’t no way
rapid lance
i didn’t take school seriously until 11th grade
same
what was your gpa junior year do you remeber
dusk goblet
i made friends with the wrong people in middle school
austere coyote
Real
rapid lance
that’s tuff
dusk goblet
yep
i had to double up on math classes to take all of the classes i wanted since i took classes my friends were taking
in middle school/early high school
austere coyote
yeah
dusk goblet
dumbest thing ever
dusk goblet
i was at the top in 7th grade then i hung out with jocks and took dumbass classes until 11th grade
austere coyote
And all the nerds in my classes don’t
rapid lance
marc
austere coyote
Wsp
austere coyote
wdym offers
dusk goblet
honors is the minimum mate
rapid lance
yea that’s what im thinking
dusk goblet
that doesn’t make you stand out
austere coyote
Oh like offers from school
Nah bro not really
AP and Dual Enrollment or IB
Those r the big three
dusk goblet
APs are not enough for offers lol
rapid lance
they are trust
dusk goblet
they again are a minimum
rapid lance
hell no
dusk goblet
yes but to what school
austere coyote
And 3 DE’s
dusk goblet
T20 schools are not giving full rides because you took 15 APs
rapid lance
arent AP classes literally college level classes
dusk goblet
arent AP classes literally college level classes
marketed as such
austere coyote
Virginia tech is my top choice I could care less abt a prestigious rich school
dusk goblet
virginia tech is good
rapid lance
Virginia tech is my top choice I could care less abt a prestigious rich school
i hate schools
if i get offers im denying them and crashing out
dusk goblet
just become a fortnite pro bro
rapid lance
real talk imma go to a community college and get my associates and if i fw it i’ll transfer for a bachelors
at some 4 year
dusk goblet
if you plan on going for a higher education i’m not sure an associates will do all that much for you but going to community college is common for people who want to save money i guess
for the first two years
then transfer
but if you don’t like school i’m not sure why you didn’t want to go into a trade
rapid lance
what is a trade
dusk goblet
i have friends who are by no means academics who were doing trades in high school and are working now no debt
dusk goblet
what is a trade
plumber, electrician, HVAC, carpentry etc
dusk goblet
they get paid pretty well
dusk goblet
what do you think
dusk goblet
not all plumbers though
rapid lance
where i don’t have to encounter that
rapid lance
not all plumbers though
that’s what im asking
dusk goblet
plumbing consists of more than fixing toilets
dusk goblet
lay pipe yea
dusk goblet
you don’t have to
dusk goblet
heating, ventilation, and air conditioning
dusk goblet
no it’s not low-key
rapid lance
oh really
dusk goblet
yea it’s quite popular
rapid lance
is carpentry like carpet shit
dusk goblet
strange, most people i know enjoy getting splinters
rapid lance
really
dusk goblet
oh yea
rapid lance
i had one as a kid and i went to bed thinking i wasn’t gonna be alive when i woke up
still haunts me
dusk goblet
scary
dusk goblet
!done
cedar kilnBOT
If you are done with this channel, please mark your problem as solved by typing .close
rapid lance
cedar kilnBOT
dull oxide
10 and 11
for 10, you need to remember a few things:
- How do multiply variables and numbers
- How do you distribute multiplication over a sum of two numbers
lavish imp
How do i distrubute it
dull oxide
How do i distrubute it
To distribute the product of $12h$ and $\frac{-3}4+2$, you first calculate the product of $12h$ and $\frac{-3}3h$, and the product of $12h$ and $2$, then you add those two products together. In math language, distributing multiplication would look like
$$(12h)\times\left(\frac{-3}4h+2\right)=((12h)\times\left(\frac{-3}4\right))+((12h)\times(2)$$
wraith daggerBOT
SWR
dull oxide
!nosols
cedar kilnBOT
As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
crimson sedge
10 and 11
11.Because the numerator and denominator are having x so divide both sides by x so you have is (2x-3)/3
dull oxide
Wait bvm it does i js do it seprarely
correct
lavish imp
dull oxide
close.
First, I'll say that you calculated $(12h)\times2$ incorrectly. Minor mistake, but definitely needs to be corrected
wraith daggerBOT
SWR
dull oxide
Is that the answer
Not quite. One more thing
you made an error with multiplying with your fraction
When you multiply a whole amount by a fraction, you multiply only the whole amount with the numerator of the fraction. The denominator remains unchanged
dull oxide
$(12h)\times\left(\frac{-3}4h\right)=\frac{(12h)\times(-3)\times h}{4}$
wraith daggerBOT
SWR
lavish imp
Show what the actual answer would be
dull oxide
Show what the actual answer would be
!noans
cedar kilnBOT
Show what the actual answer would be
The purpose of this server is to help you learn, not to hand out answers. Do not ask someone to give you the answer directly.
dull oxide
-36h/4
Almost, don't forget that there is another h after -3/4 (I forgot to write it on spot, so I apologize if I misled you there)
dull oxide
correct
And now one last thing: You have a 36 on the numerator and a 4 on the denominator. You can simplify
lavish imp
dull oxide
And finally the last, last bit: If you have a 1 in the denominator, you don't need to write it. Just 9h²+24h will do
lavish imp
Is this right too
dull oxide
Is this right too
You forgot to consider the negative in the denominator
lavish imp
So -2x-3
dull oxide
So -2x-3
You forgot to consider the double negative for that last -3 term
$-(2x-3)=(-2x)-(-3)$
wraith daggerBOT
SWR
lavish imp
What does double negetive mean
dull oxide
What does double negetive mean
The negative of a negative value is the positive value
lavish imp
The negative of a negative value is the positive value
Oh aii
cedar kilnBOT
Available help channel!
steep tinsel
hello
royal loom
hello sir
steep tinsel
i think the answer
oops
well
idk the answe
but abt these questions i know that the zeros are found at the top and the holes are what cancels out fom bottom and top
where is the verical asymptote found and where is the horizontal asymptot found
brazen wind
Since x equals positive 3 we can cross out B as an answer
A hole in the function is formed when you can cancel out the (x-3) from the bottom
and you can do that in both a and c
so D is left
steep tinsel
alright
but in general
where is the vertical asymptote found
in the numerator or denom
brazen wind
where the function approaches infinity
so as the denominator approaches 0
for example
f(x)=1/x
when x is really close to 0
like 0.0000001
then 1/(0.00000001) is very large
brazen wind
in the numerator or denom
denominator
mighty shuttle
Is this a test
brazen wind
loll
mighty shuttle
Use the binomial expansion
brazen wind
Use the binomial expansion
thats literally what the question said 😭
steep tinsel
im trying to find my notes
brazen wind
im trying to find my notes
ran1zy do you know how to get the coefficients each term
with combinations
steep tinsel
i used to
i need to find my notes for a refresher
where the flip is it in this folder
brazen wind
You need to start with 4C0 because thats the first term
that equals 1 so all options are correct so far
the second term will have 4C1 which is equal to 4
so every option is wrong except C
blazing zephyr
multiply by hand :3
brazen wind
haha
steep tinsel
i know this question is easy but is it reflected over x or y axis
im thinking its A
but idk how to tell if the x axis or y axis its being flipped over
brazen wind
yeah thats right
brazen wind
but idk how to tell if the x axis or y axis its being flipped over
it would be flipped over the x axis if the x was negative
steep tinsel
so if the negative is not in parenthesis its x axis and if its in the (-x +4) it would be over y
brazen wind
when is your test
steep tinsel
tmr
brazen wind
lol
steep tinsel
but i know like half of the stuff
this is just last second review touching on things i migfht not know
brazen wind
ok
do you know what x/2 is the same as
or wait thats a dumb question
do you know how a number to the power of a fraction works
brazen wind
no it's not negative
steep tinsel
oh right
steep tinsel
im back
steep tinsel
alright so
basicaly
square root of 16
bc it was to the 1/2 at first
and thats the same thing
brazen wind
yeah wait ill give you some more examples
steep tinsel
would it be C
brazen wind
brazen wind
would it be C
yes
steep tinsel
i dont really get this
brazen wind
bro they word these so complicated but it's simple
the function h is the function k times 9
lol
steep tinsel
what the flip
brazen wind
what grade are you? or math level
brazen wind
ok yeah just read it slowly then
steep tinsel
i didnt pay attention to this unit so tjhts on me