sorry for my lack of understanding throughout the conversation
#help-23
open bridge
broken yew
allg
strange flint
No worries, we're all here to learn 😄
broken yew
i've never used tables but they're good
open bridge
.close
safe radishBOT
open bridge
.reopen
safe radishBOT
✅ Original question: #help-23 message
open bridge
tho wait for a sec (sorry 😭)
if the x-sqrt(10) or x+sqrt(10) is an or, how do you know to color it in?
broken yew
well pay attention to which is bigger or smaller?
if i told you x < -3 or 10 < x
you know the line must look similar to that
x in (-inf, -3) u (10, inf)
make sense?
open bridge
yeah
safe radishBOT
safe radishBOT
Available help channel!
topaz swallow
idk where to start
safe radishBOT
idk where to start
rich gazelle
idk where to start
Each of the 14 squares can be either black or red. Right?
topaz swallow
Each of the 14 squares can be either black or red. Right?
yes
i havent done much question that includes space between something so i have no clue
rich gazelle
i havent done much question that includes space between something so i have no c...
Then we can express as $$\text{Total cases} = 2^{14} = 16,384$$
flat frigateBOT
Ga³¹Br³⁵I⁵³9000✞
topaz swallow
i only have problems finding the cases of P
rich gazelle
i only have problems finding the cases of P
Ok, we have to choose 3 columns out of 7, right?
harsh sun
Ok, we have to choose 3 columns out of 7, right?
They can
topaz swallow
the question says the red squares cant be adjacent
harsh sun
You will have to take cases
harsh sun
Oh, my fault.
Happens all the time dw
harsh sun
You will have to take cases
All 3 columns adjacent
2 columns adjacent
And none adjacent
That's it
rich gazelle
Using that you can find P.
rich gazelle
the question says the red squares cant be adjacent
Do you have more questions?
topaz swallow
im still not sure if im understanding
rich gazelle
im still not sure if im understanding
Do you understand the 3 cases, All 3 adjacent, 2 adjacent and none?
topaz swallow
Do you understand the 3 cases, All 3 adjacent, 2 adjacent and none?
i might need to visualize it i guess, i cant imagine anything
rich gazelle
i might need to visualize it i guess, i cant imagine anything
We can apply that. $\binom{n-k+1}{k}$
flat frigateBOT
Ga³¹Br³⁵I⁵³9000✞
rich gazelle
$n = 7$: This is the total number of columns the board has.$k = 3$: This is the number of red squares you have to place.
flat frigateBOT
Ga³¹Br³⁵I⁵³9000✞
rich gazelle
i might need to visualize it i guess, i cant imagine anything
Do you understand that?
topaz swallow
Do you understand that?
not sure, but i feel like its related to euler candy division problem which i did very little research on
rich gazelle
not sure, but i feel like its related to euler candy division problem which i di...
Yeah, what is the final value for Favorable P?
topaz swallow
tbh i dont know where is that thing came from
rich gazelle
tbh i dont know where is that thing came from
Knowing which columns the 3 red squares will go in, ensuring the columns don't touch horizontally. And then using another formula to determine if they go above or below. To find out which columns they go in, you can use the formula I sent you earlier.
topaz swallow
Knowing which columns the 3 red squares will go in, ensuring the columns don't t...
yeah, but i dont really get where did the formula comes from
lost jewel
yeah, but i dont really get where did the formula comes from
You can search "stars and bars method" on google it would show up
rich gazelle
yeah, but i dont really get where did the formula comes from
It comes from simply listing the ways to choose 3 columns without them touching.
smoky sandal
alternate method:
if you dont want to use that
consider choosing vertical pairs of adjacent squares, there are 7 total. colour them red,for any pair you can choose the other red square in rest squares.
another case would be consider all horizontal adjacent pair for any pair you can place the other red square in rest of the squares except the two below it
add them then you have total unfavourable case
rich gazelle
alternate method:
if you dont want to use that
consider choosing vertical pai...
Yeah, it’s another good option.
More visual.
topaz swallow
alternate method:
if you dont want to use that
consider choosing vertical pai...
hm thats sound like a cool idea
lemme try it rn
lost jewel
alternate method:
if you dont want to use that
consider choosing vertical pai...
Well you will have to do PIE, you are double counting the case where 3 red squares are both vertically and horizontally adjacent
Like an L shape
Oh wait 
sorry ig you did exclude that case
smoky sandal
Well you will have to do PIE, you are double counting the case where 3 red squar...
hm.. idk case 1 includes two vertical and other one horizontally adjacent, not
case 2 is two squares adjacent but the third does not go below thosetwo but now i think case 2 has some overcounting
lost jewel
Well yeah, you can have 2 red squares at 6th and 7th and the other one at 5th on the second step
smoky sandal
Well yeah, you can have 2 red squares at 6th and 7th and the other one at 5th on...
yh hm..
lost jewel
Then you can also have 2 red squares at 5th and 6th then the other one at 7th on the second step
So 5th-6th-7th
Same way but you are overcounting them by introduce steps
smoky sandal
we can subtract pairs of three adjacent squares from case 2 and should work
lost jewel
I'm not sure, might work and might not idk if there is anymore overcounting, I would avoid using more than one step tho
smoky sandal
true
topaz swallow
wait how do i count total number of outcomes for putting 3 consecutive red squares in 7 empty squares lol
yeah bout that C(k)(n-k+1) i just dont understand why that has a +1 there
lost jewel
Imagine 5 marbles • • • • •
Now I put 3 sticks between each gap like this
• | • • | • | •
Or • • | • | • | •
You can see how those sticks can not be adjacent
These gaps i said include the one out side like • • • | • | • |
It's actually not a gap but whatever
So we basically choose 3 gaps out of 5+1 gaps for 3 sticks
Or 3 gaps out of 8 - 3 + 1
k. n - k + 1
You're Vietnamese right?
topaz swallow
You're Vietnamese right?
yeah
ig i will try to understand it tmr, im too sleepy for this thing
lost jewel
yeah
Có 5 viên bi và 3 que • • • • • | | |, muốn đặt que sao cho ko cạnh nhau thì đặt 5 viên bi ra trc, rồi đặt 3 cái que vào các vách ngăn kể cả 2 bên lề v là 3 cái que k thể nào cạnh nhau đc
Ý tưởng là như v
lost jewel
ig i will try to understand it tmr, im too sleepy for this thing
Okay , nhớ close kênh chat này nhá
rich gazelle
Have a good night.
Think about our explanations tomorrow and try to use for your problem.
topaz swallow
no worries, i come here just for some clue that could help me finish this
rich gazelle
no worries, i come here just for some clue that could help me finish this
If you don't have more questions you can type .close. And if you have more questions, please let me know tomorrow you can open another channel.
safe radishBOT
safe radishBOT
Available help channel!
quaint hedge
difference between quadratic equation and quadratic factoring
safe radishBOT
difference between quadratic equation and quadratic factoring
quaint hedge
?
quasi goblet
difference between quadratic equation and quadratic factoring
a quadratic equation is a statement like x^2+5x+6=0 &you're solving for x
quadratic factoring is a method
quasi goblet
equation is the problem, and factoring the tool to solve sort of speak
broken yew
a quadratic can exist in an expression alone, and you can factor that quadratic expression if you wish
x^2 + 2x + 1 this is not an equation, but certainly is a quadratic expression which you can factor into (x+1)^2
There is no "solving for x" in this factoring process
quasi goblet
yh cleaner way to put it
lone void
uhh
lone void
xd
quasi goblet
t'was x^2+5x+6 as (x+2)(x+3)
safe radishBOT
@quaint hedge Has your question been resolved?
thin bridge
you need to rewrite that because its wrong
thin bridge
you've mixed up adding up / multiplying to
its also not a good idea to mix what a,b represent in the same paragraph
thin bridge
fix those things first
quaint hedge
done
rich gazelle
In factorization you have the terms to the other way around.
thin bridge
the wording for the turning point is bad
rich gazelle
Is the axis of symmetry.
thin bridge
x-intercepts, not axises
and ideally don't use for multiplication when variable x is present
and
its also not a good idea to mix what a,b represent in the same paragraph
wasn't addressed
thin bridge
or for simplicitly axis of symmetry is x = -b/(2a)
quaint hedge
x-intercepts, not axises
and ideally don't use for multiplication when variable ...
wym?
quaint hedge
times
thin bridge
they look so similar so the reader needs to use additional brain cells
rich gazelle
Yeah and you can increase information by talking about the discriminant in the equation complete.
thin bridge
and in some cases isn't entirely clear
thin bridge
what wrong now?
and you didn't actually fix the mistake i mentioned
rich gazelle
Yeah you can use a clearly distribution.
thin bridge
at this point, better to just rewrite the whole thing
rich gazelle
at this point, better to just rewrite the whole thing
Yeah, it will be faster.
quaint hedge
I am
quaint hedge
thin bridge
wrong again, similar issue
rich gazelle
Yeah, why the quadratic expression with -?
rich gazelle
But you fixed the Axis of Symetry you did better.
quaint hedge
is it +?
thin bridge
and again ideally don't use a,b to represent things different to the quadratic formula to minimise confusion
you mixed up the multiplication and addition
quaint hedge
for me and that is fine for me
rich gazelle
for me and that is fine for me
Yeah, try to read and think if the message it’s clearly.
quaint hedge
yep works
rich gazelle
for me and that is fine for me
If you don't want to change the a, b explanation change the quadratic expression and the mixed thing.
quaint hedge
also pr9b good to talk abpit completing a square because ik that has something to do with quadratics
how would u explain that?
thin bridge
is what just a formula
thin bridge
factoring is a process
thin bridge
no
quaint hedge
that right tho, right?
thin bridge
you've failed to address the mistake we're mentioning
quaint hedge
u gonna need to show
rich gazelle
No, the quadratic expression. And the same like before.
quaint hedge
so make it same as before?
rich gazelle
so make it same as before?
The same errors.
quaint hedge
u are confusing me
thin bridge
and as mentioned before since the quadratic formula is for solving
ax^2 + bx + c = 0
ideally you don't want to use a,b, to represent different things immediately afterwards
rich gazelle
and as mentioned before since the quadratic formula is for solving
ax^2 + bx + c...
Fix that and the quadratic expression.
thin bridge
use something different like m,n
rich gazelle
And then if you want to send again, we will check.
quaint hedge
changes b and ax to x?
thin bridge
i also don't understand what you're trying to say with the line after that
"if equal to zero, you rearrange, so x is = to something"
quaint hedge
but the formula is x^2=ax+b=0
and that is what we do
to numbers that add to b and that multiply into ax
rich gazelle
but the formula is x^2=ax+b=0
ax^2+bx+c=0
quaint hedge
right
thin bridge
to numbers that add to b and that multiply into ax
can you show your teacher's notes that say that?
thin bridge
then you misremembered
rich gazelle
do i close?
Have your questions been solved?
thin bridge
using different variables
$$x^2 - mx + n = 0$$
you want the pair that multiplies to the $n$
and sum to $-m$
flat frigateBOT
ραμOmeganato5
rich gazelle
guys i gtg for 10 mins
Ok, we can wait it’s not necessary close.
thin bridge
if ur going to be back so soon, leave it open
safe radishBOT
thin bridge
whoops sum to m, not -m
safe radishBOT
Available help channel!
fiery ginkgo
can i ask for help here for networking? in cisco packet tracer
I'm trying to do this exercise but i can't figure out how i should build it
can anyone here draw it out for me? I'm kinda struggling
safe radishBOT
can i ask for help here for networking? in cisco packet tracer
I'm trying to do ...
soft plover
can i ask for help here for networking? in cisco packet tracer
I'm trying to do ...
is this machine translation equivalent to what the question states?
fiery ginkgo
is this machine translation equivalent to what the question states?
wait I'll skom over it rn
fiery ginkgo
is this machine translation equivalent to what the question states?
as far as i can understand it seems right
plucky elk
can i ask for help here for networking? in cisco packet tracer
I'm trying to do ...
The channels are for lower division college math and high school math. Try a different server in #old-network
Or frame your question in a better way that gets to the math
soft plover
Or frame your question in a better way that gets to the math
how many possible network configurations are there that satisfy all criteria
fiery ginkgo
The channels are for lower division college math and high school math. Try a dif...
Okk ty
safe radishBOT
@fiery ginkgo Has your question been resolved?
high perch
safe radishBOT
high perch
oops
stoic raptor
mb
high perch
we both typed at the same time
high perch
help idk how to do this
fathom jewel
i'd probably try to substitute u^2=(ax)^2-b^2
high perch
I thought I had to convert it into a square root
fathom jewel
there isnt really one way to approach it, might try some various subs out
fiery fractal
try x = (b/a)sec u
high perch
where does that come from
fiery fractal
where does that come from
uhh tan^2 x + sec^2 x = 1 yea... so its kinda of standard trig sub when we get sqrt(x^2- a^2) form
high perch
I realized I was right and I should convert the bottom into a square root
let me keep working on it
ok i have no idea what really to do
gusty pasture
just do what arc said
high perch
i don't get it though
i get it, but i don't really want to plug and chug
i want to logic behind it but im lost
fiery fractal
high perch
ban
yeah but that only works with square roots
i was trying to convert it to a square root
fiery fractal
then what can i do if it's ax^2 - b ? how do i get rid of the a
take a^2 common
(ax)^2 - b^2 = a^2 ( x^2 - (b/a)^2)
thats why i said x = b/a sec u ... lol
high perch
(ax)^2 - b^2 = a^2 ( x^2 - (b/a)^2)
trying to make sense of this rn
fiery fractal
trying to make sense of this rn
just think of this way divide and multiply both terms by a^2
high perch
oh
i got b/a
x = b/a
OH
I think i get it now
so we solve the the denominator but why do we use sec if it's (ax)^2 -b^2
does the a in front not matter because it's a constant?
fiery fractal
so we solve the the denominator but why do we use sec if it's (ax)^2 -b^2
cause it simplifies radical?
i dont think i understand what u r askin
high perch
I can show you my work
I'm not really sure if we can use sec because of sec is x^2-a and thats (ax)^2 -a
vague phoenix
i dont think i understand what u r askin
Blud is helping💯
fiery fractal
Blud is helping💯
🐒 hows ur girl doing
fiery fractal
I can show you my work
do please
vague phoenix
☠️
high perch
high perch
i think i messed up
all i got is b/a
oh can we still use sec in this case even if a is in front of x?
that was what i should have said
vague phoenix
Perhaps you can do some substitution to the denominator to change it into trigonometry form
For example substuting sec and tan?
vague phoenix
For example (ax)^2-b^2,to eliminate the power, let b=asec?
vague phoenix
Well you can see tan^2x= sec^2X -1 righy
high perch
yea
vague phoenix
but (ax)^2-b^2 also have the same structure
high perch
oh
vague phoenix
try x = (b/a)sec u
So we apply this
vague phoenix
just do what arc said
You cant do if you not understand
high perch
yeah i don't understand it at all
high perch
but (ax)^2-b^2 also have the same structure
i understand it up to here
vague phoenix
Okay
Then, we wants to make b^2 equivalent to 1
Let ax =bsec theta
Right
This will be (b^2sec theta)^2 -b^2, tell me if you get to here
high perch
So we apply this
i don't understand why it's sec u after b/a
i know x is b/a
so i think it should be [ (a b/a)^2-b^2 ] ^3/2
vague phoenix
$ax=bsec\theta$
flat frigateBOT
Minhh
high perch
Then ax = bsectheta
i got ax = b/sec theta
i might be tripping balls
i don't understand anything
vague phoenix
This
fiery fractal
;-; u got this minhh
flat frigateBOT
Minhh
high perch
yeah i think i got that
fiery fractal
les go
vague phoenix
Yeah now you got ax, square it up?
vague phoenix
Sec on the numerator
high perch
Suppose x=b/asec theta
i thought it was in deno
do you guys have a youtube vid on this
vague phoenix
No
fiery fractal
high perch
oh
let me study it for a bit
oh i think it's not that bad now that i some what get it
basically the whole thing is a (a sec theta)
is that right?
fiery fractal
basically the whole thing is a (a sec theta)
uhh no?
high perch
oh so (ax)^2 - b^2 doesn't turn out to be a (a sec theta)
fiery fractal
it becomes (btan(u))^2
high perch
can you guys do the problem and i look at the work
because i have no idea how to even start
fiery fractal
alr ;-;
high perch
i don't get where the first sec comes from
unless it comes from x^2-b^2
I thought it was A (sec theta or something)
fiery fractal
i don't get where the first sec comes from
umm
fiery fractal
yes
high perch
i know but what do i do after that?
i don't know whether to find a or b or x
it has the same form as tan^2x
but surely we cannot assume it's tan^2x
i don't know what to do
fiery fractal
can you guys do the problem and i look at the work
still need ts?
high perch
yes
fiery fractal
plucky elk
!nosols
safe radishBOT
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.
fiery fractal
!nosols
we were at this for like last 1 hour tryna explain later they asked to well... try to make sense from our work.. so welp i did
high perch
OH I THINK I GET IT
fiery fractal
OH I THINK I GET IT
les go
high perch
because it's similar to sec squared -1 we just have sec as ax squared and -1 as b ^2
fiery fractal
because it's similar to sec squared -1 we just have sec as ax squared and -1 as ...
yes
plucky elk
we were at this for like last 1 hour tryna explain later they asked to well... t...
yea none of those are good reasons
safe radishBOT
safe radishBOT
Available help channel!
fresh birch
Why is it C as opposed to E?
safe radishBOT
Why is it C as opposed to E?
fathom jewel
Why is it C as opposed to E?
Μaybe consider taking a look at t=1, what happenes there in E as opposed to C?
fresh birch
Μaybe consider taking a look at t=1, what happenes there in E as opposed to C?
Well, it’s still negative in E
Yes
fathom jewel
Well, it’s still negative in E
But what happens with v(t)
Let me ask differently, can u tell something special for t=1
fresh birch
Let me ask differently, can u tell something special for t=1
It goes from being previously negative to now positive
fathom jewel
And in between?
fathom jewel
yes v becomes 0
fresh birch
Yes
fathom jewel
You have a minimum in E so v(1)=0 but what does the table show
fresh birch
That 0 occurs between 0 and 1
fathom jewel
What
fresh birch
I mean
Yeah
0 to 1 second
Between there
That’s where velocity drops to 0 momentarily
fresh birch
2
fathom jewel
So that's a contradiction
fathom jewel
In C you can roughly try to estimate the slope
x'(t)=v(t)
We are talking about the derivative
fresh birch
Sorry I’m just confused
lime pewter
graph c matches the slope behavior
fresh birch
I don’t really understand the logic here
fathom jewel
Do you know what a derivative is?
fresh birch
Yes
fathom jewel
So check the slope at t=1
fresh birch
graph c matches the slope behavior
So the slope that goes from 3 to 1 to -3 to -4?
lime pewter
So the slope that goes from 3 to 1 to -3 to -4?
no start from 0 to 1 v(0) = -1
fathom jewel
the slope is exactly v(1)
fresh birch
Ohh
lime pewter
graph c starts at an orgin and goes slightly downward
fresh birch
So it’s bc the slope there isn’t 0
fathom jewel
Yes
lime pewter
yeah ok im not helping am i
fresh birch
Could u elaborate
fathom jewel
v already tells you precisely the slope
fresh birch
Oh, yeah
fathom jewel
you dont do the secant formula wirh v thats totally wrong
fathom jewel
The point is E has slope 0 at t=1 but the table says we have slope 2, so E falls out
fresh birch
Okay yeah yeah
I get it now
I forgot to consider the relationship between position and velocity for a second
Thanks for the help
.close
safe radishBOT
safe radishBOT
Available help channel!
lilac relic
Am I correct?
safe radishBOT
Am I correct?
lilac relic
Wait I'm not
Wait
Hmmm
so
You can't get a number card and a jack queen or king at the same time
so it would be mutally exclusive
am I right?
solar hazel
yea
last compass
They would be
last compass
You cannot pull a number card that is a face card.
lilac relic
I'm never totally sure
solar hazel
i am always sure
last compass
I like to think about it as “can I choose something that shares qualities”
If you cannot, they are mutually exclusive. If you can, they are not. This is of course simplified
solar hazel
i'm just kidding
lilac relic
If you cannot, they are mutually exclusive. If you can, they are not. This is of...
okie
lilac relic
i'm just kidding
Don't act the goat
be the goat
that's my motto
thanks chaps
I might have another question in a sec
quiet juniper
just don't mix up mutually exclusive w/ independent ig
lilac relic
This must be right
beacuse you can both be a breeding bird and be a tui
actually this might go against my university's code of conduct asking for answers
solar hazel
what the heck is a breeding bird and a tui
last compass
Well that got paranoid quick
lilac relic
what the heck is a breeding bird and a tui
a tui is a type of new zealand bird
last compass
what the heck is a breeding bird and a tui
Tūï is like a bird from New Zealand and a breeding bird is what you think it is
lilac relic
a breeding bird is just a bird that lays eggs
and you can be a tui and lay eggs
so its not mutally exclusive
last compass
Exactly.
lilac relic
anyway
last compass
Both can occur at the same time.
lilac relic
actually this might go against my university's code of conduct asking for answer...
^^
so I better shut up
thanks chaps again
.close
safe radishBOT
lilac relic
One last thing lol
they asked me the same question twice
don't give me advice on this pls
.reopen
safe radishBOT
✅ Original question: #help-23 message
solar hazel
it's not the same question
pine mountain
greater<->less
solar hazel
'less than' vs 'greater than'
lilac relic
'less than' vs 'greater than'
anyway it comes out the same in the end
solar hazel
also in the first one both the numbers are 160
unlike in the second one
the answers to each question are different so...
lilac relic
the answers to each question are different so...
Oh yes I see it now lol
You can be greater than 160cm and less than 170cm at the same time
.close
safe radishBOT
safe radishBOT
Available help channel!
versed wave
,tex
$D_1 = \overline{Q_1}Q_0\overline{w_3}w_2\overline{w_1}\overline{w_0} + Q_1\overline{Q_0}\overline{w_3}\overline{w_2}\overline{w_1}w_0 + Q_1Q_0$
$D_0 = \overline{Q_1}\overline{Q_0}\overline{w_3}\overline{w_2}w_1w_0 + Q_1\overline{Q_0}\overline{w_3}\overline{w_2}\overline{w_1}w_0 + Q_1Q_0$
versed wave
there's no NAND here btw, just bad keming
nimble wyvern
safe radishBOT
@versed wave Has your question been resolved?
pliant summit
Hey can yall help
safe radishBOT
Hey can yall help
Asking the actual question right away is more likely to get responses.
Asking "Can I ask...?" or "Does anyone know about...?" doesn't give people enough information to decide whether they can help, and answering can feel like a promise to help with the actual question, which they might find themselves unable to.
solar hazel
thank you for this important information, mystery factoid sender
delicate shore
Hey can yall help
Not if you don't send your question
safe radishBOT
@pliant summit Has your question been resolved?
safe radishBOT
safe radishBOT
Available help channel!
stoic raptor
bro i need help finding the absolute extrema
safe radishBOT
bro i need help finding the absolute extrema
stoic raptor
yes
i found the derivative of the function
it is -2sec^2(x)
but im not sure of the restriction
is it just x does not equal to pi/2 + n times pi where n belongs to integer?
slate current
You sure of this derivative ?
stoic raptor
yeah
slate current
You missed a little detail
stoic raptor
oh yeah theres a 2 in the x argument
slate current
Yup
stoic raptor
good catch
slate current
Then what can you tell about the sign of the derivative ?
stoic raptor
its negative
slate current
What do you deduce about the function and it’s extrema ?
stoic raptor
its got no critical points when f'(x) = 0
only when f'(x) is undefined then it may have critical points
slate current
That’s not quite it
The critical point and extrema relation only concerns points that are interior to the segment
stoic raptor
i dont what to deduce
slate current
What’s the function’s monotony ?
neon locust
it is -2sec^2(x)
ok and now the second derivative
neon locust
i learned it that way
slate current
I can assure you that this has no use here
stoic raptor
x does not equal pi over 4
neon locust
if u say so
slate current
x does not equal pi over 4
pi/4 is not in your interval anyway
stoic raptor
i dont think theres any restrictions iwthin the specified interval
slate current
Indeed
Everything is well defined
There wouldn’t be any extrema if there was a discontinuity anyway
So what does the sign of the derivative tell you ?
slate current
What does it imply about the function ?
slate current
No, something simpler than that
stoic raptor
oh its decreasing
slate current
Yup
slate current
Np 😉
safe radishBOT
safe radishBOT
Available help channel!
lime pewter
i need help
safe radishBOT
i need help
lost jewel
💀 for the third time, just post the question mate
open wedge
💀
lime pewter
so this is a pic from a help forum
someone keeps telling me the answer is a and c but i keep telling them its not
can u help me identify the real answer
safe radishBOT
someone keeps telling me the answer is a and c but i keep telling them its not
Show your work, and if possible, explain where you are stuck.
lone void
what have you tried
lost jewel
hold on i recognise that font
It is a well-known jee problem lol
lone void
wait lol i remember this question
lone void
im not stuck
then why hv u opened a channel
open wedge
no no no
plucky elk
i solved it im confident in my answer
yes
stoic torrent
It is a well-known jee problem lol
yeah and is that a famous yt unacademy ka teachers channel
plucky elk
!show
safe radishBOT
Show your work, and if possible, explain where you are stuck.
stoic torrent
i forgot his name
open wedge
!status
safe radishBOT
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
that part
open wedge
1 through 7 choose one
lone void
i solved it im confident in my answer
then why have u opened a channel
open wedge
```
What step are you on?
1. I don't know where to begin.
2. I have begun but go...
PLEASE
choose 1 through 7
lost jewel
then why have u opened a channel
Maybe to show how pro he is
lime pewter
then why have u opened a channel
bc as i said there is someone who says its a and c but its not a and c
open wedge
so it's 5 right?
lime pewter
so i need help indentifying the real answer
lone void
so i need help indentifying the real answer
the answer key is available online
lime pewter
the answer key is available online
where
burnt notch
```
What step are you on?
1. I don't know where to begin.
2. I have begun but go...
Why don't you reply to this? With a number @lime pewter
lime pewter
Why don't you reply to this? With a number <@1481061963407691938>
none of the above
empty gyro
lime pewter
can i just get yall opinion on wht the answer might be a and c or b and c
burnt notch
bc as i said there is someone who says its a and c but its not a and c
Nope, this corresponds to number 5 (or 3)
lone void
i knew i was right
if u want just the final answer u can consider searching it up to verify
https://www.sarthaks.com/548430/let-f-x-lim-n-n-n-x-n-2-x-n-2-x-n-n-n-x-2-n-2-x-2-n-2-4-x-2-n-2-n-2-x-n-for-all-x-0
neon locust
sending kindergarden things twice and now basicly impossible stuff
lone void
bruh
lime pewter
sending kindergarden things twice and now basicly impossible stuff
oh tht is bc i jsut wanted too not solve it
lost jewel
sending kindergarden things twice and now basicly impossible stuff
They grow fast, yk
lone void
if ur done u can close the channel w .close
lime pewter
.clsoe
neon locust
They grow fast, yk
lime pewter
.close
safe radishBOT
lime pewter
ty
safe radishBOT
Available help channel!
modest thistle
Why is something like (2-y) suddenly (2+y) and how is that allowed
warm warren
!xy
safe radishBOT
Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.
lime pewter
Why is something like (2-y) suddenly (2+y) and how is that allowed
bc negative sign got factored out
fathom jewel
Why is something like (2-y) suddenly (2+y) and how is that allowed
Was
modest thistle
Its just... I really was always against the idea of just changing the signs.... it never made sense. I always thought of these "things" with variables as templates. Why should the template be changable?
mighty mango
you mean
warm warren
$(-1)\times(3a) - (-1)\times(4b)$ is what?
flat frigateBOT
Annie Maqionde
mighty mango
you didnt just change "one" sign. you changed two!
the expression within the brackets is 3a-4b. the bracket is here for a reason, telling you that the negative on the "outside" of the bracket is to be distributed on the terms inside of the brackets
its like how
2(a+b) = 2a+2b
you distribute the 2
above is the same sitaution
-(3a-4b) = -1 * (3a-4b)
so you distribute the negative 1.
mighty mango
**Annie Maqionde**
here, annie was showing you the distribution process
which after simplifying does indeed give -3a+4b.
we didnt just change the sign of -4b. the -1 was distributed on both of them and thus changed both of their signs.
this is NOT -3a
its 3a in a bracket and the -1 is to be distributed on what's insidfe of the bracket.
modest thistle
Ill look at it
safe radishBOT
@modest thistle Has your question been resolved?
safe radishBOT
timid ridge
i think you just took a picture
normal moss
Hello opal
I don't know about Desmos, but in GeoGebra you just right click the axis and there are options for scale
Yeah
Also, by the way, are you sure this is the correct function?
timid ridge
in desmos hold shift over the axis
normal moss
Also by the way
I might have misunderstood what you meant by scale
Maybe try scrolling out
Since your increments are by 0.01
Currently
Well
Yeah
Because that's the function
Better to scale an axis then
I only quickly looked and it seemed correct
I will let someone else check thoroughly though because I gotta go
smoky sandal
you have found out the terms correctly but there are few mistakes
normal moss
You can't
smoky sandal
🥀
normal moss
Use . at the start to not claim it
smoky sandal
the 150 degree is not a horizontal shift but rather it indiates your position at starting point , then you add 160pi x because that is the angular speed
f(x) = 28 sin(160pix + 150) + 31
sub x = 0 ( time = 0)
f(0) = 28 sin(150) +31 =45
your angle turns out to be 150 at the start
if you sub x= 0 in 28 sin 160pi (x-150) + 31
it will be 28 sin (160pi(-150)) + 31 which is not your initial height
pretty much
i scaled them a bit so its easy to look at
this function is different you need to put 160pi inside the bracket \
$$28\sin (160pix + 150) + 31$$
flat frigateBOT
ghost
smoky sandal
what you have written is $28 \sin (160\pi (x + 150)) + 31$ which becomes $28 \sin (160\pi x + 160\times 150) + 31$ \
the function should be $28\sin (160\pi x + 150) + 31$
flat frigateBOT
ghost
smoky sandal
if you move your cursor on an axis then press shift and zoom the scale changes only for that axis
tbh why do you need the graph
safe radishBOT
Available help channel!
undone beacon
Hi so im currently stuck on this question. Tried getting help from Ai aswell and it just gave different answers. So to rationalise we have to multiply by the conjugate right? how would you do it in this question. Thanks
safe radishBOT
Hi so im currently stuck on this question. Tried getting help from Ai aswell and...
fathom jewel
Hi so im currently stuck on this question. Tried getting help from Ai aswell and...
multiply the denom out then do the conjugate thing
undone beacon
multiply the denom out then do the conjugate thing
So expand the denominator? then times the fraction by conjugate off expansion?
fathom jewel
yes
vast sequoia
Hi so im currently stuck on this question. Tried getting help from Ai aswell and...
i would multiply by root(x+2) on both numerator and denominator
and then multiply by 1+rootx
undone beacon
yes
But when i expand bracket it gives me -x - root(x) + 2? doesent that seem kinda off since you dont want any square roots in denominator?
flat frigateBOT
undone beacon
didnt quite understand this image could you elaborate a bit more pls kinda stuck on this question alot
fathom jewel
i just multiplied the denominator out and have a-b so i can extend the fraction by a+b
fathom jewel
and then multiply by 1+rootx
you can also do this if it's to complicated
undone beacon
you can also do this if it's to complicated
would this be correct? used that method. Thanks
fathom jewel
would this be correct? used that method. Thanks
which method?
undone beacon
which method?
the multiply by root(x+2) and then by 1+ root x
fathom jewel
,w (x-sqrt(x)-2)sqrt(x+2)/((x+2)(1-x)) = sqrt(x-2)/(sqrt(x+2)(1-sqrt(x))
flat frigateBOT
fathom jewel
no clue how you got that numerator
safe radishBOT
@undone beacon Has your question been resolved?
undone beacon
no clue how you got that numerator
when you rationalise arent you suppose to not have any square roots in denominator?
fathom jewel
,, \f{\sqrt{x-2}}{\sqrt{x+2}-\sqrt{x+2}\sqrt{x}} \cdot \f{\sqrt{x+2}+\sqrt{x+2}\sqrt{x}}{\sqrt{x+2}+\sqrt{x+2}\sqrt{x}}
flat frigateBOT
undone beacon
,, \f{\sqrt{x-2}}{\sqrt{x+2}-\sqrt{x+2}\sqrt{x}} \cdot \f{\sqrt{x+2}+\sqrt{x+2}\...
?
dont understand
burnt vault
🇪
safe radishBOT
@undone beacon Has your question been resolved?
safe radishBOT
safe radishBOT
Available help channel!
topaz summit
what could $E(T, V, N) = v \epsilon (T)$ be indicating. I get the mathematical notation but i can't quite put it into words
safe radishBOT
what could $E(T, V, N) = v \epsilon (T)$ be indicating. I get the mathematical n...
flat frigateBOT
glaedr_
topaz summit
the function is equal to very small 'v' values?
frigid pewter
Context?
toxic phoenix
It depends on the context
topaz summit
The context is that it's the equation of state of a thermodynamic system where T,V,N are temperature, volume and number of molecules and v is the number of moles of the system
burnt terrace
what could $E(T, V, N) = v \epsilon (T)$ be indicating. I get the mathematical n...
The average outcome of this system is completely determined by T, and the effects of V and N don’t matter
topaz summit
Ohhh
topaz summit
The average outcome of this system is completely determined by T, and the effect...
What is the epsilon indicating there?
.close
safe radishBOT
burnt terrace
The average outcome is driven entirely by how this small/variation/error function behaves over T
safe radishBOT
Available help channel!
crude vale
hello guys i don’t get this frq
safe radishBOT
hello guys i don’t get this frq
crude vale
if someone can coach me thru it 🥺
vague phoenix
You should take derivatives both sides in A
crude vale
i have a question about that
when i take the dy/dx of both sides
why does it only go to the x on the left side and not the y as well
wait nvm i got it
vague phoenix
Product rule
broken forum
i dont get part b and c
well do you know how to work out the tangent line at some arbitrary point?
crude vale
im not sure
broken forum
well dy/dx is telling you how much y is changing with respect to x at a point
i.e. its the gradient at that point
so if I wanted the equation of a straight line/ a tangent at a point well
- I know the point
- I know its gradient
vague phoenix
you found derivatives in A already
when is a tangent line horizontal?
what will its slope be?
crude vale
0
vague phoenix
there we go
crude vale
so i just set that equalt o -
crude vale
i got y=0
vague phoenix
hello guys i don’t get this frq
now subs y back in the original question, check for the corresponding x value
crude vale
0 doesnt equal 2
vague phoenix
then what does this tell?
crude vale
for the explain part would i just say it doesnt exist because there is an inequality ?
vague phoenix
if 0=0, then there exists a point when the tangent become horizontal, else no
crude vale
if 0=0, then there exists a point when the tangent become horizontal, else no
if thats the case then would your x be 0? and your coordinates be (0,0)
crude vale
oh
to find where the line tangent to the curve is vertical
wouldnt that be undefined
crude vale
0/0?
vague phoenix
or just a calculation
worldly lantern
in that case we solve by taking denominator = 0
vague phoenix
the denominator = 0
vague phoenix
in that case we solve by taking denominator = 0
det 🥀
crude vale
so i solve for denominator = 0
vague phoenix
denominator of what
crude vale
thats indeterminate , not undefined
what indeterminate mean
crude vale
denominator of what
the slope?
vague phoenix
skibidi
crude vale
toliet
worldly lantern
what indeterminate mean
0/0
vague phoenix
the slope?
denominator of dy/dx lol
crude vale
isnt dy/dx slope
vague phoenix
it is
vague phoenix
yes
crude vale
fml
vague phoenix
ylif
keen mulch
@vague phoenix
vague phoenix
<@894183628131688518>
?
vague phoenix
to make it easier, let x be in term of y
vague phoenix
R u vietnam?
ye
crude vale
to make it easier, let x be in term of y
does that mean solve for x
vague phoenix
no, post in math channels
worldly lantern
!redir
safe radishBOT
This channel is only for on-topic discussion. Please take casual conversation to #discussion or #chill.
vague phoenix
does that mean solve for x
let x = y^2/2
crude vale
ok gime a sex
vague phoenix
sex
crude vale
sec!
keen mulch
Pls
safe radishBOT
Pls
This channel is only for on-topic discussion. Please take casual conversation to #discussion or #chill.
keen mulch
post your problems in math helps like <#359052604149465088>
But i need it to private:))
vague phoenix
no
worldly lantern
But i need it to private:))
for the 3rd time bro !redir
crude vale
did i do ts right 🥹🙏
vague phoenix
did i do ts right 🥹🙏
find y bro
crude vale
i’m scared
vague phoenix
move y^3 to LHS
worldly lantern
move y^3 to LHS
the americans do it like
"sub lhs and rhs by y^3"
vague phoenix
bro recognised sth
vague phoenix
the americans do it like
"sub lhs and rhs by y^3"
i thought they would subtract y^3 both sides
worldly lantern
i see the vision
there there paul atredies
worldly lantern
i thought they would subtract y^3 both sides
i meant subtract by sub
vague phoenix
bro hasnt got helpful yet
worldly lantern
im waiting for d part
vague phoenix
OP is visioning sth
vague phoenix
correct
crude vale
do i solve to get x now
vague phoenix
yes
crude vale
for yk the coordinate
vague phoenix
subs in original
vague phoenix
good correct
worldly lantern
wdym how
crude vale
i thought at (1/2,1) the slope is undefined
why is there another y value at the same x
worldly lantern
both of em satisy the eqn so
worldly lantern
it doesnt have to be a graphable function
whole hill
it doesnt have to be a graphable function
Yeah. The whole point of parametric equations is it helps you visualize. and represent motion of stuff that doesn’t trace out a function
crude vale
whats a parametric equation...
whole hill
whats a parametric equation...
It’s where both x and y are dependent variables on some parameter ‘t’
You could think of it as x and y are both functions of ‘t’
While it’s not a must, it’s common to think of ‘t’ as time
As I’m ticking and moving through time, how does my x position change
And then independently from that, as I’m ticking through time, how does my y position change
worldly lantern
the given equation is called a reduced equation , where you eliminate t , to get x in terms of y , or basically just a relation in x and y
crude vale
so thers a y vs t and x vs t graph?
whole hill
so thers a y vs t and x vs t graph?
No, it’s all the same graph
But you plug in ‘t’ for both x and y to get a point
whole hill
the given equation is called a reduced equation , where you eliminate t , to get...
I saw a “dy/dt” so I thought parametric. lol
worldly lantern
how do i find my t
this question doesnt talk about t
crude vale
oh
crude vale
ik might sound like beginner but i never rlly understood what with respect to x or y mean
and is that the same thing as in terms of x or y
worldly lantern
since the rate of change dx/dt = 2/3 , differentiate given eqn wrt t and find relation between x,y,dx/dt, and dy/dt
you will get the value of dy/dt from there
whole hill
and is that the same thing as in terms of x or y
Do you know what a term is?
crude vale
something in the equation?
whole hill
something in the equation?
Terms are groups of variables separated by a “+” or “-“
So,
3xy + 7x^2y^3 - 2
Has how many terms?
crude vale
3
crude vale
😭
whole hill
So, when you say a function is in TERMS of ‘x’
worldly lantern
bro went back to 4th grade
whole hill
So, when you say a function is in TERMS of ‘x’
It means all the terms of the function have ONLY ‘x’
worldly lantern
basically, if y is in terms of x , replacing x by a constant number should give a constant value of y too
worldly lantern
wrt is when you differentiate something wrt something
in dx/dt we calculate rate of change of x wrt t
which means that we wanna see how x changes when t changes
whole hill
wrt is when you differentiate something wrt something
“What is taking a derivative? It means taking a derivative”
worldly lantern
“What is taking a derivative? It means taking a derivative”
mbmb
vague phoenix
Once Freddie speaks, it gives critical damage
whole hill
which means that we wanna see how x changes when t changes
And the cool part of this is, t doesn’t have to be in the function at all
crude vale
confusing part
whole hill
You assume all the variables in an equation are functions of t
worldly lantern
And the cool part of this is, t doesn’t have to be in the function at all
well not really, t has to be in the function, we dont necessarily have to know the functions
but theres gotta be a function
whole hill
well not really, t has to be in the function, we dont necessarily have to know t...
Ik. I’m trying to get the idea across that you don’t have to see the ‘t’
You’re right though
The ‘t’ exists
We just don’t have know what it is
crude vale
i guess bro
whole hill
We just make the assumption that every variable is a function of ‘t’
worldly lantern
confusing part
you do know how to differentiate eqns like these wrt t tho?
crude vale
i think yeah
whole hill
We just make the assumption that every variable is a function of ‘t’
And differentiate implicitly wrt to t
vague phoenix
We only need t to make dy/dt=dy/dx * dx/dt works
worldly lantern
i think yeah
do it then
worldly lantern
We just make the assumption that every variable is a function of ‘t’
its not an assumption.
crude vale
do it then
what do i differentiate
whole hill
its not an assumption.
It kind of is, lol.
worldly lantern
what do i differentiate
the intial equation
whole hill
We only need t to make dy/dt=dy/dx * dx/dt works
There’s smth abt that that bothers my soul. When people treat dy/dx as a fraction 😭. “Let’s cancel out the dx’s”
worldly lantern
There’s smth abt that that bothers my soul. When people treat dy/dx as a fractio...
we can do thats for 1 degree differentials tbh, it’s mathematically correct
crude vale
i think u can see it here
worldly lantern
differentiate the initial curve wrt t
whole hill
we can do thats for 1 degree differentials tbh, it’s mathematically correct
It’s not mathematically correct. It works in 2D because the idea of a derivative in 2 dimensions is unambiguous. When you get to 3 dimensions, the traditional idea of a derivative falls apart.
So, it works because of the fact that in 2D, a derivative is change in y over change in x. And that notation helps us visualize
crude vale
is this still calc 1
worldly lantern
is this still calc 1
nuh
whole hill
is this still calc 1
Don’t worry about what I’m saying, lol
I’m just going on a tangent.
To what curve?
Idk
crude vale
my butt