AAAAA HOW
#help-38
prime lynx
AAAAA HOW
Firstly Write all the values of x
For the first one x is all numbers greater or equal to -3 and less or equal to 2
wind estuary
hmmn
sacred gale
what can I help you?
wind estuary
table of values for no.1
sacred gale
what table?
wind estuary
uhmm
exotic pine
just sub x
wind estuary
prime lynx
To get the values of f(x) when x is a certain number replace x with its value in x²+2x
wind estuary
Who should I believe I need to finish this hahah
prime lynx
Who should I believe I need to finish this hahah
We are all saying the same thing. Anyone's way will work
sacred gale
okay/
wind estuary
@prime lynx
prime lynx
<@1043973524961902612>
Yes
sacred gale
next problem/
wind estuary
3 0 -1 0 3 this is answer
Is this right?
sacred gale
of course
trim joltBOT
3 0 -1 0 3 this is answer
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.
wind estuary
@prime lynx
prime lynx
Yes
wind estuary
Is the ans right?
sacred gale
ah, I know
wind estuary
??
prime lynx
Is the ans right?
Yes
wind estuary
hi <@1108597753312968715> may I have your age?
bro why😭
wind estuary
Guysss look??
sacred gale
bro?
sacred gale
of course
exotic pine
its right, that 2 doesent have anything tho
sacred gale
ah, yes last answer is 8
wind estuary
why??
exotic pine
its right, that 2 doesent have anything tho
i mean like you havent wrote anything for the 2 :p
wind estuary
its 8?
sacred gale
I mean x=2 f(2)=8, okay?
prime lynx
Let her try to solve it
sacred gale
not interested
wind estuary
<:happy:908558103992225822>
the cat is cute
prime lynx
I wanna know how..
Replace x with 2 in x²+2x
wind estuary
Ohhh is this notation right?
prime lynx
Since x²+2x = f(x)
wind estuary
whats the value of x
prime lynx
whats the value of x
f(2) = 2²+2(2)
prime lynx
whats the value of x
It is 2 in the last column
exotic pine
<:hmmcat:831508801646755850>
do you like dogs or cats lmao
prime lynx
do you like dogs or cats lmao
Both
prime lynx
But I prefer dogs 🐶
exotic pine
Both
me too but i shifted my opinion abit once i saw mt friends dog and i stepped on catshit
wind estuary
do you like dogs or cats lmao
Who are u asking
exotic pine
Who are u asking
the one im replying?
exotic pine
how is dog related to this
its not :p
exotic pine
9
exotic pine
<:uponthewitnessing:1204923968096706581>
gotham moment
prime lynx
@wind estuary Has your question been resolved?
wind estuary
how do I graph it
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@wind estuary Has your question been resolved?
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@wind estuary Has your question been resolved?
zinc ginkgo
How do I graph it
Graph what
crude scaffold
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balmy granite
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balmy granite
so for this one in the first step they multiplied both top and bottom with x in order to get rid of of the x in the numerator?
prime lynx
so for this one in the first step they multiplied both top and bottom with x in ...
No they divided by x
balmy granite
why ?
tulip violet
why ?
When you have problems with limits to infinity you can divide all the terms by the highest power
balmy granite
To take advantage of the fact that lim x-> infinity of 1/x is zero
so this helps get rid of the x^2 and the 2 in the sqrt in the denom?
balmy granite
When you have problems with limits to infinity you can divide all the terms by t...
ohhh but then why didnt they divide by x^2?
tulip violet
Because that's technically not the highest power
The highest power is sqrt(x^2) or just basically x
balmy granite
ohh wait yeaa
balmy granite
When you have problems with limits to infinity you can divide all the terms by t...
and this only works to limits to infinity and not to 0 or any other value?
humble sun
It works because constant/infinity is taken as 0
balmy granite
that reminded me of something that i wrote in my noted but in here it seems like my teacher said to divide both top and bottom by the lowest of the powers 😭 is this something different or are they wrong?
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pearl lotus
Consider josephus problem
Here is my claim that if there are n ppl then when 1 kills 2
We have n-1 ppl with 3 holding the sword so the person who is going to be alive is the one who is alive among n-1 ppl
so if in n-1 let's say k is alive then for n k+2 should be alive (exept for the case where 1 is alive)
pearl lotus
Consider josephus problem
Here is my claim that if there are n ppl then when 1 ...
Btw the josephus problem is that
n people are sitting in a circle and have to kill the person next to them (left of them) like for eg if 1 2 3 are sitting in a circle 1 kills two now sword is with 3 which kills one and wins the game
You have to find which person is going to win the game
<@&286206848099549185>
can someone tell if my claim is wrong or right?
sacred gale
hi
pearl lotus
Hi
pearl lotus
can you tell me in detail?
Let's say u have 1 2 3 sitting in a circle
So we have that 1 has the sword and will kill the person left to him so he kills 2 now 3 has the sword and he kills 1 meaning 3 is now the winner
sacred gale
interesting if case n?
pearl lotus
Well then consider 1234 sitting in a circle when 1 kills 2
We have 134 sitting in a circle with 3 having the sword which is similar to our old arrangement we know that in case of 123 3 won so here also
The 3rd person will win which is 1
Let's say in n-1 ppl kth person wins so
If n ppl we're sitting in a circle and 1 kills 2 we have arrangement for n-1 ppl and so k+2 is going to win
This is my argument
pearl lotus
Let's say in n-1 ppl kth person wins so
If n ppl we're sitting in a circle and ...
Ofc expect the case when n-1 wins
then 1 would win
pearl lotus
great. I think you are right
Hmm but this isn't a typical sol to the prob
Since the typical sol is a bit different
pearl lotus
then can you show me the problem?
It's called josephus problem u can look it up
pearl lotus
great. I think you are right
Nice 
Just wanted to know if I hadn't done some mistake anywhere
sacred gale
I dont know Josephus.
can you explain in detail about that?
eg. sword only 3?
otherwise each person has sword?
and when 1 kill 2, the others do nothing?
pearl lotus
can you explain in detail about that?
Which part?
pearl lotus
Let's say u have 1 2 3 sitting in a circle
So we have that 1 has the sword and ...
This?
sacred gale
no case n
pearl lotus
no case n
Yea 1 has to kill the person left to him that is 2 so 2 dies and now sword passes on to 3
pearl lotus
I mean there are only 2 swords?
No one sword first one had the sword he killed two then passed the sword to 3
sacred gale
oh I know, there is one sword, right?
first 1 has the sword. right?
what is the right answer of this problem?
pearl lotus
what is the right answer of this problem?
Well there is no fixed ans
But gen ans is that if u have 1 2345 2ⁿ + l .....
Then winner has the position 2l+1
sacred gale
thank you. I can solve this problem. see you after 2 min
sorry I cant do this, you are right
but I will continue this pro.
pearl lotus
sorry I cant do this, you are right
pearl lotus
but I will continue this pro.
It's a recurrence prob so u should consider learning that
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pearl lotus
thank you for your attention
I should he thanking u lol
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pseudo shoal
I need help finding what the k is, but i am having problems integrating.
burnt mulch
Hint: Note that this is the same as $$(\sin kt)(-k^2+18)=0$$
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Civil Service Pigeon
pseudo shoal
ahh ok i see since they both have the same sin kt it can be simplified into that. From there would you have two separate the sin kt by using algebraic manipulation?
burnt mulch
ahh ok i see since they both have the same sin kt it can be simplified into that...
What exactly do you mean by “separate”
pseudo shoal
i wasn't sure if you had to remove the sin kt by algebraic manipulation or it just stayed there.
Because of course i am trying to find values of k that satisfi the differential equation
burnt mulch
Hint: Suppose that ab=0. What can you about a and b?
pseudo shoal
oh ok my bad, i am not sure how i forgot that. I guess i was not getting the practice i needed to remember.
from that point i use algebraic manipulation and i found for the right-side k is = to the square root of 18 what whould the left side be.
burnt mulch
from that point i use algebraic manipulation and i found for the right-side k is...
sin(kt) is a non-constant function unless k=0
Take that as you will
burnt mulch
from that point i use algebraic manipulation and i found for the right-side k is...
Also, you forgot $\pm$
solid kilnBOT
Civil Service Pigeon
pseudo shoal
ok why would it be +- if you dont mind
burnt mulch
$$k^2=18$$ $$\sqrt{k^2}=\sqrt{18}$$ $$|k|=\sqrt{18}$$ $$k=\pm \sqrt{18}$$
solid kilnBOT
Civil Service Pigeon
burnt mulch
In general, $x^2=a \implies x=\pm \sqrt{a}$
solid kilnBOT
Civil Service Pigeon
burnt mulch
**Civil Service Pigeon**
The logic to obtain that is similar to what I did up here ^
pseudo shoal
ahh ok i can see where you got that from
from there i imagine you would find the second derivative and plug in both the second derivative and the original function
burnt mulch
Did you not already do that here?
pseudo shoal
Did you not already do that here?
yeah i guess i did lol, i just needed to find the value of k which was the part i was stuck on.
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pseudo shoal
yeah when i plugged in 18 squared into the equation it matches the right hand of the equation
thank you @burnt mulch , i am sorry if you probably got frustrated or something like that but i appreciate your time and effort to help me. Thank you
burnt mulch
thank you <@560122149126275093> , i am sorry if you probably got frustrated or s...
Nah you’re actually nice to work with
You’re engaged and are making an effort
In contrast, someone tried to say thank you by making a sex joke
Yeah ._.
pseudo shoal
well i guess that some weirdos for you on the internet well i appreciate your help, and hopefully i see you again
.close
crisp spruce
the question is asking to identify the common function and describe the transformation shown in the graph and to also write an equation for the function. how do i do this?
pliant wagon
Ask yourself, what function does this graph's shape resemble?
You should ideally already know what all the common functions' graphs look like in general
crisp spruce
cubic function?
crisp spruce
You should ideally already know what all the common functions' graphs look like ...
i don't i should probably learn that 😔
pliant wagon
yeah I mean once you do that it'll be pretty quick. As for the transformations part, that transformation will be obvious if you know the graph shapes
crisp spruce
you could u help me thru this one for now
pliant wagon
okay so you should notice the function ends at x = 0 right. If you sub -1 into x³, it's a real number so it's definitely not a cubic.
the function doesn't seem to be approaching x = 0, kinda just touching it. Hence f(-1) is not real and f(0) is real.
What function doesn't accept negatives but accepts zeros and positive reals?
Does this help narrow it down a little more?
crisp spruce
what are the different functions i don't know if I'm thinking about it correctly
i know that square roots does accept negatives
pliant wagon
polynomials, trigonometric, roots, logs, a few others
crisp spruce
could it be like -√x
pliant wagon
Actually the diagram is a bit odd. While it does look like it's touching x = 0, it might not be. There's an extra dot
crisp spruce
yeah i'm not sure it's out of my textbook
pliant wagon
could it be like -√x
from the info I have described, that's it. Except not accounting for the translation
crisp spruce
how do i find the translation with the graph? its not that clear
pliant wagon
I don't think it's possible to get an exact value, because it's just a graph
crisp spruce
i feel like it could possibly be -√x+3/4
crisp spruce
I don't think it's possible to get an exact value, because it's just a graph
alright thanks for your help
pliant wagon
That's rather specific. Also consider the possibility that x is an asymptote. Because if your answer is wrong, that might be the confusion
It would be nicer if the graph had more resolution
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eager lynx
Correct me if I am wrong but here's what I am thinking at
-4 on f there is -2
-2 there is -1
and etc
but why is it using the y values when it says x
eager lynx
I know inverses are swapped y and x
But I just dont understand why we are inputing the y values
nvmI think I uderstand
.close
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eager lynx
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eager lynx
nvm I dont understnad, can someone explain
or is that just the table for the inverrse
inverse
tulip violet
This table is for the inverse
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eager lynx
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eager lynx
Sorry one last question
So when it says inverse -4
does that mean I look at -4 y
or what exactly are the steps
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split chasm
by definition of the inverse you're looking for
f(what) = -4
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eager lynx
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eager lynx
oh
so am I looking at only the left graph?
cause I thought f^-1 is the inverse graph
split chasm
so am I looking at only the left graph?
yes, g (the second graph is irrelevant here)
eager lynx
I thought it meajt inverse though
split chasm
the f^-1?
eager lynx
Yeah
eager lynx
or is it just asking to find the x when y= -4
I want to understand what it actually means but I am unsure
split chasm
given that f has an inverse function
f(f^-1(x)) = x
f(f^-1(-4)) = -4
so
by definition of the inverse you're looking for
f(what) = -4
eager lynx
if F(x) means y
and y of -4 is 4 on the x axis right
split chasm
lowercase f but yes
rocky wasp
Hello
rocky wasp
My probelm is
its a combinations and permutations probelm where you have to find how many combinations there are if you can only move right or down on a grid, and you have to get from (0,0) to (3,3). I know how to solve this, however its a variation where you can also move diagonally once(counts as moving down and right in 1 move) and i dont know how to find how many combinations there are to this
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rocky wasp
no
austere cedar
How many permutations of the letters "R R D D X"?
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reef sphinx
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reef sphinx
how do i do these?
for the first question, i arrived at x/(x-1)(x-2) - (x-2)/x(x-1)
i dunno wat to do next
past comet
1+1=24737489324348425824684586485182346341812384623721364736483411848684368623482464634475476276363482348346324654385834658314832641836281463846384665884847462636485495906083873733749695959273949130949473947231743479349214934194793749393942974379342794379432794379437943217934794372347432974397432704379342743273474377943974329732417942379432794329074397432972439743297423974374326832472317523152315231762438962349705489548548589432984397439704329743279042397439432979704397043279043279432907439083429843980743298423198024390724397042374379437432743743743079398899297382392729329729729032979723177939779832187784236752314452167894909065908982899804329803498439084329084329842390854787625378607869086253989089078978978785478997859787897897897809078780078940789549785978987657890978854778548745878876589546567546846634978789478784978747437843784784378437878347843784378478437847847847848747856747747743676754677647667677654676743676767643677654767647676547667546765476547654765476765467545445454546745546755467545677647743767667675677585767678439597845978354978598438778787898878
rough goblet
1+1=24737489324348425824684586485182346341812384623721364736483411848`6843686234...
please do not spam.
rough goblet
it's alr lol
rough goblet
for the first question, i arrived at x/(x-1)(x-2) - (x-2)/x(x-1)
i think you'd just make them have a common denominator, add, and simplify
rough goblet
!15m
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rough goblet
i got (x'2 - (x-2)'2)/x(x-1)(x-2)
what does x' mean here
usually x' represents the derivative of x
hello?
reef sphinx
i got (x'2 - (x-2)'2)/x(x-1)(x-2)
idk what to simplify from here
reef sphinx
what does x' mean here
i meant x^2
reef sphinx
where did i make the mistake?
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stray drum
I have a fluke that it might be partial fractions but I might just be on about nothing
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unique field
If I say that f(4) = 4, then is that enough evidence to conclude that f(x) = x??
unique field
f(x) could also be equal to 4 for all values of x
f(x)=4
So now it's 4 in all cases
For all values of x
trail ingot
correct
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round galleon
someone explain to me how to simplify : log_3(6)=x
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someone explain to me how to simplify : log_3(6)=x
round galleon
so using change of base formula it turns
log6/log3
but how do i further simplify it
left gazelle
do you know what log(a*b) is?
round galleon
i tried using a calculator and assumed that we turn log6 into two separate logs
trim thicket
and what are the factors of 6
round galleon
2•3 , 6•1
left gazelle
wait a min
what form do you need the ans to be?
round galleon
thats it ig
Oh nice 👍
left gazelle
coz log_3(6) is already a constant
round galleon
i just wanted some confirmation
left gazelle
okok
round galleon
wait a min
what form do you need the ans to be?
Uh the simplified form
log2+log3/log3
do i do this then
left gazelle
log_3(2) *
simple haven
log_3(2) + 1
left gazelle
log_3(2) + 1
ya
round galleon
Oh they still have the same base?
simple haven
Well, we don't have to change the base to make this transformation
left gazelle
Oh they still have the same base?
yes the base wont change
round galleon
log_3(2) + log_3(3)/log_3(3)?
sacred sapphire
are you trying to make it so you can use a calculator on it?
simple haven
No, not quite
sacred sapphire
and your calculator only has log base 10?
simple haven
log_3(6)
= log_3(2 * 3)
= log_3(2) + log_3(3)
= log_3(2) + 1
No need for the change of base formula at all
simple haven
and your calculator only has log base 10?
Good question, dunno why I didn't catch that
round galleon
nop i was just curious on what wouldve happened if we got say,
3^x=18
and from searching i found the logs method
round galleon
log_3(6)
= log_3(2 * 3)
= log_3(2) + log_3(3)
= log_3(2) + 1
Oh i see ty
sacred sapphire
then idk what to say log₃(6) is already at its simplest form
unless what you mean by simplest form is that the arguments of the log is the lowest number possible
which in that case you have 2 terms instead of 1
sacred sapphire
that is the exact value
round galleon
like the actual number, like the decimal
sacred sapphire
well then you have to use a calculator
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lethal vigil
i am getting the answer as 1/log3 but the ans is 1/log9
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i am getting the answer as 1/log3 but the ans is 1/log9
wind cloak
can you show your work?
main sigil
im getting 1/log9.
bright jacinth
how can u tell
lethal vigil
im getting 1/log9.
how
lethal vigil
bright jacinth
i'm sending pic
wind cloak
okay here when you sub x=0 what do you get?
lethal vigil
okay here when you sub x=0 what do you get?
1/log3
main sigil
is this lhop or sth?
lethal vigil
is this lhop or sth?
lhop
lethal vigil
you're missing that 1/2
where
left gazelle
you're missing that 1/2
the 2 in the denominator makes it ln9
lethal vigil
the one in the numerator
oh shit
wind cloak
the 2 in the denominator makes it ln9
yup
bright jacinth
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3. I got an answer but I was told that it's wrong.
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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.
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meager bloom
Do you know matrix multiplication?
bright jacinth
yea kinda
we did it at the start of the year and it's been 6 months
and my notes arnt that neat
meager bloom
[➡️][⬇️]
This is how matrix multiplication happens
2 2X2 matrix multiplication will give 1 2X2 matrix only
left gazelle
if the ans is needed its J
meager bloom
left gazelle
we did it at the start of the year and it's been 6 months
i think you should revise it properly once
youll understand it right away
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turbid bough
Define a function f(x) with the following properties:
1. The function must be defined for all positive real numbers x > 0 .
2. The function must produce exactly one integer value in its range. The rest of the values in the range must be real numbers, but non-integers.
3. The function must be expressed as a single, continuous expression (i.e., it cannot be a piecewise function).
Provide the function and demonstrate that it meets all the specified criteria.
turbid bough
I am not sure I understand very well the question
acoustic trout
which part of the question are you having trouble with?
acoustic trout
well maybe think of some function that is bounded between [0, 1] first
though, I wonder would they accept the constant function as an answer
turbid bough
Like which function bounded, and why 0 and 1?
dusky gust
though, I wonder would they accept the constant function as an answer
it won't satisfy the conditions
violet gust
you can try some function thats asymptotic to some value and then modify its range to satisfy your conditions
dusky gust
you can try some function thats asymptotic to some value and then modify its ran...
if you try using 1/x to 1/(1+x), it won't include 1, so it will have 0 integer values
violet gust
something like an exponential decay
violet gust
if you try using 1/x to 1/(1+x), it won't include 1, so it will have 0 integer v...
but thats not the only way to modify the range tho is it?
turbid bough
final coyote
x> 0
dusky gust
yeah, that seems ok
acoustic trout
well rational functions wouldn't work because of...rationals number
violet gust
yeah, that seems ok
I think we should leave something for OP
acoustic trout
exponential functions would be the easiest to model
naive otter
I think we should leave something for OP
Bro dropped the answer then casually deleted it : '')
dusky gust
well rational functions wouldn't work because of...rationals number
is there any issue with 2/(1+x) ??
acoustic trout
yes
dusky gust
what?
acoustic trout
take x=1 for example
dusky gust
take x=1 for example
yes, it will give only 1 integer, that is what question is asking
acoustic trout
oh right, oops x+1 is only rational for negative x
turbid bough
i think that works
acoustic trout
yeah nvm, it works
dusky gust
yeah nvm, it works
i would have taken 1/(1+x) if it was asking for no integer
dusky gust
well rational functions wouldn't work because of...rationals number
still don't get what you meant by this
turbid bough
i am watching bow the solution example and it says (x/5)^(1/x)
violet gust
theres infinitely many such possible functions
acoustic trout
still don't get what you meant by this
well was thinking of something like 2/(2/n) and stuff like that. But yeah the domain restrictions took care of that
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toxic stream
can anyone tell me how this happenned
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can anyone tell me how this happenned
toxic stream
then they added and subtracted ax+b in the bottom
no how did that deltax go? like i dont understand the second pard
wise dagger
the second part is
wait...
oh
I get it
they first multiply the fractions be a/a
to get a∆x at the bottom
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toxic stream
to get a∆x at the bottom
no i dont understand how the text got there instead of ∆x
tepid fractal
Instead Of Finding The Radius, I want to try and find a new formula without calculating the radius of the quarter circle
split chasm
why are you trying to do that?
tepid fractal
why are you trying to do that?
it's too easy, I'm trying to improvise a new formula
digital gulch
it's too easy, I'm trying to improvise a new formula
good luck
sleek canopy
digital gulch
tangents?
split chasm
radius would be involved in some way
tepid fractal
i was thinking of AEC To make a square and without using pi to calculate
pi/8 is the easy route
meager bloom
You need to calculate area of AEC , for that radius is necessary
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queen dew
My maths teacher gave us a question to create a function inverter which takes a value and gives 1 if the value is 0 and other wise gives 0 always. We were not allowed to create our own functions for this.
This was my attempt, however I'm looking for a much shorter solution.
Please help.
split chasm
are you allowed to use the sign/sgn/signum function?
shrewd ridge
start with 1 −
queen dew
start with 1 −
I'm sorry what?
whole coral
If you can use the floor function too, maybe you may want a positive function that has a max of 1 at x = 0…
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bronze breach
Does anyone know how to do this and can explain it to me? I think I know the math, I just don't know what they mean by angular form
I changed the numbers so it isn't the same problem as my homework (so it isn't cheating)
bronze breach
This is a homework on vector's angular form
shrewd ridge
means direction and magnitude
like this is 5i+3j but also angle 0.54 length 5.83
i don't know what exactly it looks like though
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shrewd ridge
ok, it looks like (0.54,5.83) i didn't expect that
or the other way?
bronze breach
like this is 5i+3j but also angle 0.54 length 5.83
oh hey
bronze breach
like this is 5i+3j but also angle 0.54 length 5.83
I get it
i think i do actually
I never actually understood what i and j meant in a vector completely
so it's just
shrewd ridge
it's just cartesian and polar coordinates
shrewd ridge
yeah
bronze breach
oh
ok so
if the components of my velocity are
vx = 5 m/ys
vy = 10 m/ys
i would write it as
v = 5i + 10j
shrewd ridge
sure
shrewd ridge
ok wait
shrewd ridge
(5.83, 0.54) is polar coordinates, the vector wouldn't look like this
shrewd ridge
or would it
bronze breach
reading my notes again
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shrewd ridge
i'm confused
bronze breach
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bronze breach
i'm confused
?
shrewd ridge
i'll assume it is just 2 numbers
prime lynx
Hello 👋
What is going on
prime lynx
Oh polar form of a vector?
shrewd ridge
yeah i'm confused because it says angular form, and maybe it's distinct thing that uses a different notation
prime lynx
I haven't heard of angular form before.
bronze breach
example 7 here <https://www.nagwa.com/en/explainers/819141496492/>
hi! thank you, im reading this right now
prime lynx
I googled it and they seem similar.
bronze breach
yeah i'm confused because it says angular form, and maybe it's distinct thing th...
i can ask my classmates but im not back until mid monday and i dont want to waste the entire weekend thinking about it
dw about the exact form right now
or notation
ill rewrite it when i get back
i just want ot know what im doing
prime lynx
There's an organic chemistry tutor video on it
bronze breach
There's an organic chemistry tutor video on it
i can do the math, i just dont know what im trying to find
bronze breach
Does anyone know how to do this and can explain it to me? I think I know the mat...
i got the angle for this problem
prime lynx
Oh.
shrewd ridge
if you're sure that degrees is fine
prime lynx
Magnitude is 8.72 and degrees are 53.41
Is the angle inclination to the horizontal?
bronze breach
like this is 5i+3j but also angle 0.54 length 5.83
i got 30.96
bronze breach
if you're sure that degrees is fine
ill make it radians
oh u put it in radians
mb
yep same thing
nice
bronze breach
Is the angle inclination to the horizontal?
i think
me and frog got the same answer so im sure it's fine
ill specify it in my hw
ill write 0.54 radians about the +x axis
shrewd ridge
great
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unborn grail
What is the symbol for set translation
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What is the symbol for set translation
unborn grail
${2\diamondsuit,2\clubsuit,\ldots,A\heartsuit,A\spadesuit}\implies{1,2,3\ldots,51,52}$
is implies correct?
solid kilnBOT
Splash
unborn grail
yeahhhh
marble wharf
if you want to be more formal you can do something like defining a function f:A->B where A is your first set and B the second
unborn grail
so just {} translates to {}
marble wharf
but words usually are enough
unborn grail
this is homework and they said it can be informal, so ill just use words
Thanks a lot!
marble wharf
(its not like words are informal just because they are words)
unborn grail
(i know dont worry)
i dont need rigor in my proofs, needing to define a function to say that ace of spades is 52
thank you 😄
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astral mortar
Guys I know that the conductance weighted laplacian is given by K = A^TCA but the note hints at a quick way to construct this without going through that shenanigan. Can anyone tell me what that is?
astral mortar
Like when you construct a laplacian you just look at K_ii is the number of edges connected to node i and K_ij is -1 if i and j are connected. That’s what I’m talking about
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wraith hinge
if u live in uk, what did u write for your mathmatics personal statement?
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ancient edge
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ancient edge
Can someone check if my work for this problem is right
solid kilnBOT
vapid pawn
Can someone check if my work for this problem is right
Where are you getting you're integrand from? Seems overly complicated
ancient edge
Where are you getting you're integrand from? Seems overly complicated
Wdym
How should I write the integral
ancient edge
Squaring the bound?
vapid pawn
Yeah, r = 4 and r= 4-sinx or whatever
ancient edge
Oh those are polar equations
vapid pawn
Yah, they are bounds of your area of integration. Why u squaring them
vapid pawn
Okay, whatever, the area you are trying to find is defined by two polar equations. In your integral you've squared then and subtracted them
I'm just trying to figure out why
I'm just trying to figure out what you're method to solve this was
ancient edge
Wdym method
vapid pawn
Just walk me through what your thinking was
ancient edge
ok so
i needed to find the bounds
and i did that by finding the intersection of the 2
got 0 and pi as the bounds
vapid pawn
Yep, that checks out
ancient edge
then to find the area inside r = 4 and outside 4 - 2sin i did integral(0 -> pi)(4 ^2- (4 - 2 sinx)^2dx
using this formula
vapid pawn
Ah, okay. I see what you've done. Sorry, that formula is not intuitive. They've just mashed the jacobian into all of it without explanation. My bad.
ancient edge
Ah, okay. I see what you've done. Sorry, that formula is not intuitive. They've ...
all good
Thanks for ur help
vapid pawn
Seems to check out. Looks good to me
ancient edge
Seems to check out. Looks good to me
Thanks so much
vapid pawn
No worries
ancient edge
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tidal elk
i get everything else until the part (x-13,000)
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i get everything else until the part (x-13,000)
tidal elk
i know its talking about excess
but i cant wrap my head around why excess is subtraction
stray drum
X is income right
tidal elk
yes
stray drum
So, x-13000 is all of her income, other than the first 13000
tidal elk
so ur saying x - 13000 = income
stray drum
Remember that you arent getting rid of the 13000, you’re calculating that in another term
stray drum
so ur saying x - 13000 = income
This is the income after she has made the first 13000
We want to separate the first 13000 because it is calculated differently
tidal elk
This is the income after she has made the first 13000
oh so if she made 14000 then it would be 1000 excess
is that why theres the subtraction
stray drum
Yes
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tidal elk
struggle understanding the wording and how I would format this word problem into equation
im thinking A but it doesnt seem right
fleet bear
Why do you think it's A?
fleet bear
Alright, have you figured it out now?
tidal elk
nope
fleet bear
Okay. What is acceleration?
tidal elk
speeding up
fleet bear
sorta yeah. It's the rate of "speeding up" or rather change of speed(velocity)
tidal elk
ok i understand its 3888h but why would it equal 250
fleet bear
ok i understand its 3888h but why would it equal 250
Every hour, the train increases its speed by what value?
tidal elk
Every hour, the train increases its speed by what value?
3888 km
fleet bear
3888km/h right
tidal elk
yes
tidal elk
okay
fleet bear
1 hour passes, 3888km/h
2 hours pass, 2 x 3888km/h
3 hours pass, 3 x 3888km/h,
... so on
fleet bear
Okay, I see. It accelerates at a constant rate. h is the time it takes to reaches 250km/hr. h itself could be smaller than 1 (i.e. less than an hour)
so like if 30 mins passed from the start, the train would be going at 1944km/h
stray drum
It takes accelerating for h hours at 3880km/h to get to 250km/h. H can be less than 1
This means h*3800=250
tidal elk
also its 250 km / h which is not equal to 3880 km / h (also confused about that)
fleet bear
Notice the units are different
tidal elk
cancelling the km and hours?
stray drum
3800km/h per hour is acceleration
fleet bear
Wdym by the km cancelling?
fleet bear
why does your remaining "hr" leave the denominator?
tidal elk
oh right
tidal elk
it just says pick the best one that describes it
fleet bear
Alright!
blazing geode
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blazing geode
Weird I got a wrong answer
My interpretation of the question is that it asks whether rotate 135 or 180 of the graph about the origin would result in the original graph.
I notice that if you rotate the graph 135 about the origin, it would as same as before the rotation.
So 135 should be correct
Do you guys agree
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marsh forum
Prove that $\lim_{x\to a} f(x)= \lim_{h\to 0) f(a+h)$
cold sphinx
hi, on an exercise with intermediate value theorem, for all x, a<x<b and a<f(x)<b so f(a)>a, i understand why it works but could you guys give examples
knotty locust
How dare you
cold sphinx
loll
knotty locust
The statement is false
solid kilnBOT
Veni, vidi, perii
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
knotty locust
Still false
knotty locust
prove lim x->0 1/x = lim h->0 f(0+h)
marsh forum
okay, the limit exists
so $|x-a| < \delta \implies |f(x)-f(a)| < \varepsilon$
right so far?
knotty locust
for every epsilon >0 , there exists such a delta where that is true,
fresh pendant
this is spivak
Wow which chapter page?
marsh forum
limits page 107, 3E
marsh forum
for every epsilon >0 , there exists such a delta where that is true,
yes
now $|a+h-0| < \delta^ {'} \implies |f(h+a) -f(h+a)|< \varepsilon$
solid kilnBOT
Veni, vidi, perii
marsh forum
so $0< \varepsilon$
marsh forum
and $|x-a|< \delta^{'} \implies |f(a+h)-f(a)| < \varepsilon^{\circ}$
solid kilnBOT
Veni, vidi, perii
flint matrix
e
flint matrix
common ratio of 27,9,3...
flint matrix
wouldnt that be simply 3
flint matrix
its supposedly decreased
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unkempt oxide
im not even sure abt the ratio
Make the 27 and 9 into exponents
That will give you the hint you need
flint matrix
what
unkempt oxide
3 cube
3 square
3 power 1
Then what's next till 7th?
flint matrix
3,2,1,0,-1,-2,-3,-4
where did the 2 come from
unkempt oxide
3 square is 9
flint matrix
also wont this be divisible by 3
unkempt oxide
Oh my... You didn't understand it still?
flint matrix
i have been stuck in this one
for the past 40 minutes
i cant take it anymore
please
unkempt oxide
Okay how much is 27 in powers of 3
flint matrix
i do not know anymore dude
unkempt oxide
Take a deep breathe, one step at a time 27 in terms of 3
flint matrix
i was still able to solve the number 4 of finding the 6th sum of 32, 64, 128 by my own
and ive been stuck in number 5 for the past 40 minutes
unkempt oxide
That's wrong bruh
I can't show the solution here, you need to solve by urself
Just below 27 write what is it in powers of 3
unkempt oxide
Now 9
flint matrix
3²
unkempt oxide
Now 3
flint matrix
3¹
unkempt oxide
Okay 3³, 3², 3¹, now look at the powers what's next
flint matrix
do i have to keep doing this util i get to 7th
unkempt oxide
Nope
unkempt oxide
Just say the 4th term bro
flint matrix
0
unkempt oxide
In powers
flint matrix
3⁰
unkempt oxide
5th
flint matrix
3^-1
unkempt oxide
Almost there, now sixth
flint matrix
3^-2
unkempt oxide
And 7th is!
unkempt oxide
Okay much is that?
unkempt oxide
👍
flint matrix
thank you
unkempt oxide
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unreal lark
how do u solve b
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how do u solve b
livid thunder
try turning the RHS of part a into the eqn in part b
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north mountain
help pls
solid kilnBOT
wise dagger
note that area of :
triangle ABO - sector APO
= the above mentioned part PBO
wise dagger
after that you can just use
Sector QBO - above mentioned PBO
to find the shaded region
wise dagger
ah, new question.
north mountain
yes me dumb
wise dagger
yes me dumb
nah
hexed thunder
I really just need to know the difference for when I reject the null or fail to reject the null for this question...
hexed thunder
Since H1 is correct, does that mean that I reject H0? If so, how would I word that appropriately?
"We reject H0"
"There is sufficient evidence to suggest that H1 is true"
Those are the two statements that I believe I would write for this question.
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young mauve
Help meee
young mauve
I assume that you wanna change the 3^x into e ^something
but idk how to do that
or am i on the wrong track?
limpid belfry
you are on the right track
young mauve
Oh yeahhhhhhhhhhhhhhh
clear cloud
And im sure youll achieve from there
clear cloud
3^x = (e^ln(3))^x = e^xln(3)
Look
clear cloud
ln(3^x)+7x+2=ln(15)
Wait
Nvm
You can just simplify the ln further
Ln(3^x) = xln3
Go ahead
clear cloud
Not quite
limpid dawn
thats a log rule
meager bloom
also im curious where this comes from
ln(a^n) = nln(a)
solid kilnBOT
bacc
solid kilnBOT
bacc
limpid dawn
Sometimes this scares people off so I use the emoji version
forest niche
young mauve
bro the emoji version makes me think im reading wingdings or something 😭
limpid belfry
the emoji version is like some facebook math quiz
young mauve
eh screw it
amber python
young mauve
i dont need no proof to do math
solid kilnBOT
young mauve
💀
young mauve
**bacc**
I think ill stick to learning this thank you 😭
though the sweat one is probably better cause the swear in the corner indicates that its an exponent
Ok thank you
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wraith hinge
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