mb, we currently stopped at the quotient rule and then went to finding the derivative of trigo, explaining chain rule and general power rule
#help-4
fringe niche
i think you need to watch the whole thing to understand the lesson as a whole
safe fulcrum
which part does it explain the f'/f^2
it's an application of the chain rule
and the power rule of course
fringe niche
but it's 40:23
safe fulcrum
so $\frac{1}{f(x)}$ is $d(f(x))$ where $d(x) = \frac{1}{x}$ right
rocky lotusBOT
south
fringe niche
no
safe fulcrum
jesus christ just google it
safe fulcrum
yeah consider 1/tanx as tan^-1(x)
these are not the same thing
fringe niche
to avoid the confusion
fringe niche
these are not the same thing
they are if you are writing them in context
safe fulcrum
no, tan^(-1) (x) means arctan(x) unambiguously
you can write (tan x)^(-1) if you really want 1/(tan x)
safe fulcrum
most people write power on the function
that rule is broken for trig functions
fringe niche
never seen that before
safe fulcrum
to avoid the confusion
to avoid the confusion, as you said
fringe niche
to avoid confusion arctan was made
and arctrigfunc in general
which is why it's not a problem
merry jasper
So i just apply the f'/f²?
safe fulcrum
So i just apply the f'/f²?
you need the chain rule
safe fulcrum
do you agree that by the chain rule, $f'(x) = 2 \cot 3x \cdot \frac{d}{dx} (\cot 3x)$?
rocky lotusBOT
south
merry jasper
so this is correct?
safe fulcrum
so this is correct?
why are you asking about an entirely different question
merry jasper
this is the function im trying to solve
safe fulcrum
this is the function im trying to solve
,w d/dx cot(3x)
fringe niche
i think chatgpt should be able to do these
rocky lotusBOT
fringe niche
squared
safe fulcrum
this is the function im trying to solve
so then $f'(x) = 2 \cot 3x \cdot -3 \csc^2 (3x)$
rocky lotusBOT
south
safe fulcrum
there's actually another chain rule, so you multiply by 3 cause it comes from d/dx (3x) = 3
and then the derivative of cot is -csc^2
so -csc^2 (3x) cause you leave the inside unchanged
then multiply by 3 from another chain rule
safe fulcrum
yeah so the (1 - ) should not be there at all
safe fulcrum
no, there's a 1 - csc^2 here
and that's wrong
I think they misunderstood the chain rule
oh yeah they misread what they wrote
safe fulcrum
the 1 is the exponent, so $2 [\cot 3x ]^1 \cdot - \csc^2 (3x) (3)$ is correct
rocky lotusBOT
south
safe fulcrum
yes
then you misread what you wrote
so that simplifies as $2 \cot 3x \cdot -3 \csc^2 (3x) = -6 \cot 3x \csc^2 3x$
rocky lotusBOT
south
safe fulcrum
in your work, you didn't write the multiplication
merry jasper
where did the 3 come from in -3csc
safe fulcrum
where did the 3 come from in -3csc
chain rule again
so csc(3x), differentiate the inside and you get 3
merry jasper
**south**
thats why the 3 disappeared from here right?
and then you multiplied 2 and -3 to get -6cot
safe fulcrum
thats why the 3 disappeared from here right?
that's why there's an additional 3
merry jasper
oohh okay, let me try the number 10
vale dockBOT
@merry jasper Has your question been resolved?
merry jasper
,w d/dx -csc(1/2x)
rocky lotusBOT
safe fulcrum
<@1151031274413228043>
you should close this channel and open a new one so other people can answer
vale dockBOT
vale dockBOT
Available help channel!
shrewd vine
Hey i have a problem, i need to study the signs of the following function : g(x) = ln(1-x)+x
Can someone help me out to find how to tackle that?? Just by giving clues or something like that as it's not a product
verbal badger
What do you mean by “the signs”
drifting hornet
like when it's positive and negative?
I'd try looking at both the parts and examining those individually first
perhaps plot a graph (or sketch)
if u know some calc, you could use it as well (study the derivative)
shrewd vine
Yeah it was about positive and negative but we found a way with my friends
But the derivative doesnt really help as it would give me the variations, but we just made it so we compare it to an exponential, that is always <0 , and we got 1-x>e^-x , and so >0
drifting hornet
But the derivative doesnt really help as it would give me the variations, but we...
did you conclude the func is > 0?
if so then its wrong
the derivative does help btw
drifting hornet
that e^ step doesnt work
wait no
it does work
okay so you got to 1 -x >= e^-x
how did you conclude that ln(1-x) + x >= 0?
because that conclusion is wrong
viscid spade
okay so you got to 1 -x >= e^-x
You need to say if this is true or not to conclude
shrewd vine
because that conclusion is wrong
Why??
drifting hornet
Why??
because it is wrong. The question is how did you arrive at that faulty conclusion
shrewd vine
Maybe it is on the interval the function works
drifting hornet
Maybe it is on the interval the function works
the function is defined for x < 1 (since the argument of ln needs to be > 0)
shrewd vine
]-inf;0[U]0;1[
drifting hornet
and on that interval, the function is negative, except for 0 where its 0
viscid spade
]-inf;0[U]0;1[
There is no problem in 0
drifting hornet
g(0) = ln(1-0) + 0 = 0
shrewd vine
Idk lmao
Wait i'll go back later to this for the moment i'll close the channel
Thanks for the help tho
I have to go
viscid spade
D'ailleurs pour tout x dans R tu as 1+x <= e^x
For all x you have that e^x >= 1+x
But the method that works anytime is using differentiate it and look at the variations + extreme points
vale dockBOT
@shrewd vine Has your question been resolved?
surreal tide
What did I do wrong?
vale dockBOT
What did I do wrong?
frozen ledge
What did I do wrong?
-2 ≠ 2
weary pilot
its always the arithmetic
frozen ledge
limit as it approaches -2 from below not 2 from below
you did the same for the limit as you come from above
paper fossil
What did I do wrong?
you can substitute -x = t to avoid the confusion, like you did here
frozen ledge
you can substitute -x = t to avoid the confusion, like you did here
what
paper fossil
what
uhh then he can continue to solve as is, then put the value for t, which will give the answer
frozen ledge
why
paper fossil
t or h, whatever is comfortable
paper fossil
*why*
uhhh cuz that guy almost did the right thing, with +2,
its just another way to do it
paper fossil
just read the problem carefully
or you could do that
vale dockBOT
@surreal tide Has your question been resolved?
vale dockBOT
@surreal tide Has your question been resolved?
ancient berry
Did I find the correct average absolute deviation?
vale dockBOT
Did I find the correct average absolute deviation?
normal hollow
This seems right
But answer might differ basing on how many decimal places u take to determine the value
Also put on modulus over each subtraction, js a precaution uk
ancient berry
Ok
While I’m here, how do I find the average percent error?
The true value is given as 88.4
normal hollow
The answer seems right but u need to put modulus over the subtraction u did here too and it's measured value-true value
So it's supposed to be
|88.3-88.4|
vale dockBOT
@ancient berry Has your question been resolved?
bitter gate
Yall can anyone help me with GCSE- level further maths? Id like to have an idea on how to do the working in some exercises from a past paper ^^
spring jackal
we can definitely help with that! is there a specific exercise or kind of exercise that you'd like help with?
bitter gate
Well i have a couple! I js need help with the working really cause i really had no idea on how to solve em. I wanna clearly understand them and like confidently answer similar ones. Ill send some over!
I have more but i dont wanna send to much😅
normal hollow
what have u tried till now?
spring jackal
let's start with 1(a): take $\dv{x}$ of both sides so you end up with $$\dv{y}{x} = \dv{x}\big(4x^9 - 3x^3 + 8 + 2x^{-5}\big),$$ so we are simply differentiating the right side
there is another rule that's quite helpful, called the addition rule: if you have two functions or expressions, say $f(x)$ and $g(x)$, then
$$\dv{x}\big( f+g\big)(x) \quad=\quad \dv{f}{x} + \dv{g}{x},$$ i.e. you can "distribute" the derivative across addition and subtraction. \ \textit{You cannot, however, distribute it through multiplication.} There is a seperate rule for that.
spring jackal
With that in mind, can you simplify the right side of what i sent?
spring jackal
oh sorry i meant the question itself, the 4x^9 - ...
vale dockBOT
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hardy mango
Not entirely sure what to do here, know it has something to do with the standard form of sin but I don’t know exactly how area fits into that equation
hardy mango
Standard form of sin:
rocky lotusBOT
hardy mango
Oh my fault
wraith heart
Standard form of sin:
this really isn't relevant to your problem
hardy mango
It doesn’t use that equation?
wraith heart
it only uses y = sin(x)
hardy mango
I figured because it has the y = sin, and x being equals to pi being the period
wraith heart
B is not 2
hardy mango
It isn’t? Isn’t the period for sin usually 2pi?
wraith heart
yes the period of y = sin(x) is 2pi
hardy mango
The graph show 3.14 so I figured 2pi over 2 is equal to pi like the graph shows right?
I might be thinking about it wrong
wraith heart
indeed. they rounded pi to 3.14
fringe glen
isn't it just a standard sin graph
wraith heart
another giveaway is they told you y = sin(x)
the steps to solve this problem are:
- count number of rectangles.
- assume they are all equal width
- find the width of each rectangle (they're all the same becase of 2.)
- find the heights of each rectangle
- find the areas of each rectangle
- sum the areas of the rectangles
hardy mango
Got it, just wanted to ask though how are those steps relevant to the information given above?
Like if that were the case where does sin come into play
fringe glen
the height of the rectangles corresponds with the sin values of the x axis
wraith heart
y=sin(x) is needed to do 4.
hardy mango
Got it, I’ll look into it. Thanks for the help 🙏
fringe niche
what if there's two functions or more with multiplication
vale dockBOT
@hardy mango Has your question been resolved?
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Available help channel!
dapper narwhal
I am so confused someone said it y=3x+3, y=3x+6 y=2x+2 ??
tawny moon
!original
vale dockBOT
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.
dapper narwhal
quiet tide
that helped so much
quiet tide
what class is this for
dapper narwhal
wym?
quiet tide
like
what class is it for
that question is effectively unsolvable
with no context as to what they want
dapper narwhal
like the figure is adding through and I need to find the pattern as y=mx+b
dapper narwhal
what class is it for
math?
quiet tide
thats a stupid question ngl i wouldnt think to hard on it
dapper narwhal
ok
quiet tide
idk how to do it and i know y=mx+b
someone might still help tho so dont like close channel
dapper narwhal
ok
river shale
I am so confused someone said it y=3x+3, y=3x+6 y=2x+2 ??
有其他內容嗎？
dapper narwhal
要找pattern
river shale
亦或者老師有沒有其他口頭說明
dapper narwhal
你可以簡單說明一下是哪門課的內容嗎？
数学课啊？
dapper narwhal
亦或者老師有沒有其他口頭說明
没有
dapper narwhal
哦哦
river shale
4 coordinate graph
4 coordinate graph?
dapper narwhal
嗯
vale dockBOT
@dapper narwhal Has your question been resolved?
river shale
除非它是一個riddle，不然你老師給的題目條件太少了
vale dockBOT
dapper narwhal
.reopen
vale dockBOT
✅
vale dockBOT
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Available help channel!
brisk grove
Having trouble understanding this section
vale dockBOT
Having trouble understanding this section
brisk grove
Theorem 4.1. If a system of equations Ax = b is changed into the new system Cx = d by
elementary operations, then the systems have the same set of solutions.
brisk grove
Having trouble understanding this section
I understand that a free variable is a parameter, a pivot variable is determined by a free variable, and the idea that B has one more nonzero row than C, but beyond that I'm puzzled
My understanding breaks down when it says one variable is pivot in B and free in C
merry crystal
do you know how row reductions preserve rank of the matrix
brisk grove
do you know how row reductions preserve rank of the matrix
sure but that seems like what I'm trying to prove
merry crystal
think of what row operations do:
you add linear combinations of a row to another or swap rows, this preserves the subspace generated by taking the span of the row vectors or column vectors. Hence the dimension of the column or row space is preserved which implies that the rank is preserved
brisk grove
think of what row operations do:
you add linear combinations of a row to anoth...
okay, that makes sense. the key vectors are preserved, any other vectors that are a linear combination are redundant.
But I'm having trouble comprehending the specific proof the textbook gives. I don't really see what it means when a variable is considered both free and pivot
merry crystal
apologies, im not familiar with this specific matrix language 
i always view linear systems through rank
vale dockBOT
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Available help channel!
green fjord
vale dockBOT
green fjord
if he jumps without skipping any pad, removing block 12, 21 , 32, 23 should work right ?
green fjord
can u show us your grid first?
river shale
yes, your example works
green fjord
yes, your example works
yeahh, but the answer says 29
like 29 options
where he can't go home
river shale
alr I figure it out
river shale
yeahh, but the answer says 29
yes, that's one of the condition that the frog cannot get to its home
There are 29 of them
what have you tried?
green fjord
i can't figure out how the combination works here tbh
river shale
i can't figure out how the combination works here tbh
you can basically (Every scenario) - (Impossible scenario) = (result)
green fjord
every scenario = 7C2 right?
river shale
For example, if you wanna remove the lily pads from the table, how many possible ways can you remove them?
river shale
For example, if you wanna remove the lily pads from the table, how many possible...
forget this cuz you've answered
green fjord
For example, if you wanna remove the lily pads from the table, how many possible...
i can move 7C4 as the other two are constant
river shale
i can move 7C4 as the other two are constant
absolutely
now is the difficult part
Impossible scenario means "even if you remove the pads, the frog can still get to its home"
can you find me an example ?
green fjord
removing 23 33 and 11 21 allows it to go home
green fjord
ahh it's fine
river shale
every scenario = 7C2 right?
a small mistake. it's 7C4 not 7C2 because we're picking out 4 pads
green fjord
okk... so 35
river shale
So now we are looking for the way that the frog can acheive its home
river shale
can you figure out how many paths are there?
green fjord
7? or was it 7C2 ?
river shale
7? or was it 7C2 ?
no, I mean how many paths can the frog go to reach its home, without removing any pads
green fjord
goes 2 step to the right and 2 up
river shale
green fjord
.close
vale dockBOT
river shale
have a good one
vale dockBOT
Available help channel!
wintry coral
Hi I'm currently self studying real analysis and would just like someone to help me check if I made mistakes in my solution, thanks!
vale dockBOT
vale dockBOT
Available help channel!
lime bone
honey
lime bone
my honeyboos
is determinant signifies the parallelogram spanned by two vectors
a intuitive thing
vale dockBOT
@lime bone Has your question been resolved?
knotty star
vale dockBOT
knotty star
Hi is this how you solve this problem?
As I am trying out this qns but I personally feel that smth is off
keen tundra
Hi is this how you solve this problem?
Yes
knotty star
So any odd numbers work for this solution right?
keen tundra
Yes
safe fulcrum
yes you could have N = -1 and so on
modest hemlock
yo guys
modest hemlock
id like to buy the 991ex but how do i tell if they r real or nah
copper stump
what does this even mean?
is this part of a math question or some irl shopping (in that case you need to read reviews of the item)
errant gyro
sounds like OP wants to avoid getting scammed
modest hemlock
is this part of a math question or some irl shopping (in that case you need to r...
991ex is
calculator
thought u guys would know idk
wanton jasper
modest hemlock
you can buy it from the casio website
u cant
modest hemlock
https://edu.casio.com/intl/authenticity/
but the ones on ebay dont have it like NONE
copper stump
ah yes, my bad for not knowing every single calculator model in existance 😭
modest hemlock
ah yes, my bad for not knowing every single calculator model in existance 😭
bro its like
the most popular 1 for
hs
no?
maybe thats js my system cuz we cant use graphing calca
errant gyro
then why not go straight to a bookstore?
wanton jasper
then just buy it from a reputable source like an amazon official store if that exists
copper stump
>most popular
>not being made anymore
?
errant gyro
bookstores should still have old stock, no?
hearty belfry
are you talking about cg50?
modest hemlock
bookstores should still have old stock, no?
They dont everyone ransacked it
wanton jasper
@modest hemlock whats ur region
modest hemlock
Georgia country
errant gyro
guess you'll just have to review scan and pray?
drowsy kraken
Not the right server 😭😭😭
modest hemlock
Bruh😂
modest hemlock
COLDDD
drowsy kraken
:((
drowsy kraken
Sorry
drowsy kraken
don't think you can close the channels of others if you're not Helpful+
No im telling them to close
errant gyro
No im telling them to close
!done
vale dockBOT
No im telling them to close
If you are done with this channel, please mark your problem as solved by typing .close
errant gyro
give them this instead
drowsy kraken
Alr
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@modest hemlock Has your question been resolved?
vale dockBOT
verbal hound
i used convolution method to find this
lemme show my progress
for s belongs to [0,1] the indexes of integral i got is from s-1 to s
but in solution its showing different
i solved all the methods correctly i believe
maybe you guys can just make me ensure whether im doing correct or not
or just tell me in which line i made mistake
modest stirrup
verbal hound
https://math.stackexchange.com/questions/357672/density-of-sum-of-two-independen...
thats where i was confused
but can u tell me why 0 to z ? idk what im asking but i m still confused and yeah putting index from s-1 to s leads to integral 1
modest stirrup
If you are finding pdf of Z, then the value of X can not be more than z. So, X must be between 0 to z.
gritty sinew
max(0,s-1) for 0<s<1, you sure it's s-1?
verbal hound
0<u<1
0<s-u<1
from here i got
max{0,s-1}<u<min{1,s}
modest stirrup
If Z is 0.7 say, and Z is sum of X and Y. How can X be more than 0.7 because X and Y are non negative.
gritty sinew
0<u<1
0<s-u<1
from here i got
max{0,s-1}<u<min{1,s}
ok my question is not there tho
verbal hound
now i got it
verbal hound
max(0,s-1) for 0<s<1, you sure it's s-1?
idk what u are asking ?
thanks @modest stirrup
gritty sinew
how do you get from up to down here ?
I'm saying there an error here
the max isn't s-1 here, it's 0
verbal hound
for s belongs to 0,1
max value will be s-1 isnt it right ?
gritty sinew
why do you think it is ?
gritty sinew
s-1 is negative
verbal hound
im just doing dumb mistakes
vale dockBOT
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Available help channel!
silk peak
I dont know how to graph that
vale dockBOT
I dont know how to graph that
silk peak
can I get some help with 5a
north walrus
i think it is just a parabola
woeful rover
Are you familiar with quadratics?
north walrus
with coefficient $\pi$ and only graph between 0 and 10
rocky lotusBOT
Allen
silk peak
what does r e mean
woeful rover
what does r e mean
r ∈ [0,10] means that r can take values from 0 to 10 including 0 and 10
north walrus
square brackets mean including endpoints
woeful rover
the graph is up to y 10?
(10, 100π)
woeful rover
From (0,0) to (10,100π)
silk peak
why 100pi
woeful rover
Because if you plug in 10 into πr^2, you get 10^2 π or 100π
silk peak
gow dk you know 10 is the r
woeful rover
gow dk you know 10 is the r
Because the interval given included 10
And that's the maximum r given
And thus the maximum of the function
silk peak
so how wohld I graph that
woeful rover
Draw 2 axes
woeful rover
Hmm
It's not a downward facing parabola
Also
You should consider the positive direction of x only
woeful rover
Hmm
Alright let's consider r = 0
And our function is A(r) = πr^2
What is the value of A when r = 0?
silk peak
0
silk peak
1pi
woeful rover
Alright
If we kept going, the values will stay positive and they will go up
Until we reach r = 10
The problem tells us to stop when r = 10
So in this case, what is the maximum value of A?
silk peak
100pi
woeful rover
Exactly
silk peak
silk peak
belly?
woeful rover
Yeah the middle part of the curve
I think it would be easier if you plotted points and traced them
It should show you how the behavior of the curve will look like
silk peak
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atomic blaze
A sphere's angular diameter is 2asin(diameter / 2*distance), iirc. This means that the radius that one sphere needs to have to look like it's the same size as another sphere that's further away is r2 = r1 * dist2 / dist1.
The problem is, I'm working on a game, and sqrts are expensive to run every frame. Is there any way to contort this to use distance-squared?
hardy coral
I'm assuming you're calculating distances with sqrt; hence your question
Not a mathematical answer, but I feel like you're worrying about the wrong thing. Nowadays it isn't that expensive to run a couple of sqrts every frame. Have you actually measured and determined that this was a bottleneck?
ashen prawn
myself suman kundu
?
vale dockBOT
@atomic blaze Has your question been resolved?
keen lily
find the determinant of the 2nd order
vale dockBOT
find the determinant of the 2nd order
stark wedge
,rccw
rocky lotusBOT
stark wedge
,rccw means rotate counterclockwise
,rcw for clockwise instead
anyway sin^2(alpha) + cos^2(alpha) = ?
keen lily
alr
stark wedge
the angle has to be the same in both
keen lily
дякуюю
vale dockBOT
@keen lily Has your question been resolved?
simple orbit
guys theres this question.... its a simple one but am still stuck. the question is-
in what ratio is the line joining A(8,9) and B(-7,4) is divided by the point (2,7).
wild linden
how do you define division of a line by a point?
I don't know of any such definition
opal pendant
how do you define division of a line by a point?
huh section formula?
simple orbit
no theres a line and (2,7) is basically on that line so we have to tell in which ratio its cutting that line
opal pendant
section formula
ripe trail
I think he's trying to say what the ratio of the distance AC to the distance AB is.
opal pendant
simple orbit
section formula
we have two types of section formula 1. internal division and 2.external division
so am confused which one to use
wild linden
huh section formula?
ah, I suppose that makes sense, I couldn't tell from inspection that (2,7) was on AB. My bad.
opal pendant
we have two types of section formula 1. internal division and 2.external divisio...
first plot everything on coordinate axes
simple orbit
thanks alot this is the formula of internal division of section formula
opal pendant
ah, I suppose that makes sense, I couldn't tell from inspection that (2,7) was o...
fair
simple orbit
2:3 is the correct ans
ripe trail
yeah
vale dockBOT
short solar
vale dockBOT
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.
opal pendant
ahh
tropic loom
been playing silk song for an hour or so
its pretty good
although the font is
questionable
wild linden
Please take this to discussion, this is a closed help channel, and it liable to lock unexpectedly due to bot shuffling (and also it's off-topic here)
wild linden
nw
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deep mantle
Hello, i have a question
vale dockBOT
Hello, i have a question
river shale
Hello, i have a question
Yes, just post
deep mantle
Yes, just post <:happy:908558103992225822>
Here they help with arithmetic (sorry for my English, I'm from another country)
river shale
It’s okay, just post your question
wild linden
This is the appropriate place for mathematics help, yes
stark wedge
send us your question
deep mantle
This is the appropriate place for mathematics help, yes
Okay, so they help improve math skills? I'm pretty bad at math and I'm interested in improving
river shale
Okay, so they help improve math skills? I'm pretty bad at math and I'm intereste...
Yes, what’s your native language?
deep mantle
Yes, what’s your native language?
My native language is Spanish, but I am also interested in understanding English.
molten plume
Ymm
vale dockBOT
@deep mantle Has your question been resolved?
still dust
help
still dust
um! hi!
hazy pivot
Shoot
still dust
how would you guys know whether x=-1 is a maximum or a minimum?
hazy pivot
Essentially you make a small interval around it
still dust
id say it is a minimum but ai is telling me it would be a maximum
hazy pivot
And see if the value in that interval is lower than the value at x = 1 everywhere
Wait -1
hazy pivot
No -1 is a minima
still dust
its not about the pendant
still dust
No -1 is a minima
how?
hazy pivot
Cuz take any point close to -1 that isn't -1
still dust
between -inf and -1 is positive
hazy pivot
The function value is higher
hazy pivot
between -inf and -1 is positive
Local maxima and minima don't care about global behaviour
still dust
it's f'
hazy pivot
All that matters is the value is a small interval around the point you're considering
still dust
how would i do it then
still dust
but i dont have the function
hazy pivot
No but you have the graph
still dust
i only have the graph of f'
hazy pivot
Wait it's f'?
still dust
the derivate of a function
hazy pivot
In terms of the derivative?
still dust
i think?
still dust
yeah
hazy pivot
How do you define this in terms of the derivative though
still dust
what do you mean?
hazy pivot
a point that goes from like
Like what happens to f'(x) at such a point
still dust
it equals 0?
brave grail
hazy pivot
That's the graph of f', not f
brave grail
mb
still dust
but how do you determine whether we're on about the upper one or the lower one
hazy pivot
His approach is just wrong, ignore it lol
hazy pivot
Now you have the graph of f'(x)
Tell me this
still dust
Where is it zer
what does zer mean?
hazy pivot
No how is it zero at 1
still dust
No how is it zero at 1
pendant is 0?
hazy pivot
Okay I've been being dumb so far
The function is increasing to the left of 1 cuz the derivative is positive
And decreasing to the right cuz the derivative is negative
hazy pivot
pendant is 0?
Also idk what pendant is
brave grail
His approach is just wrong, ignore it lol
yup didnt look at the f`(x) text, i think its a maxima at x=-1?
brave grail
Do you speak French, quad?
no lol
hazy pivot
Well do you speak spanish
brave grail
no but you guys can speak in whatever you like cuz im leaving anyways
still dust
What happens at a maxima
well the pendant is positive from one side and negative on the other
still dust
still dust
No genuinely, I've never heard that term
Was sketching it really quick my bad
hazy pivot
Good
So essentially this means, on the left of the maxima, the derivative is positive and on the right it's negative
And the opposite for a minima
(I'm guessing you're referring to the derivative when you say pendant?)
vale dockBOT
@still dust Has your question been resolved?
charred root
So I'm stuck in this because I don't understand why at the end after 1/3 Un +2 < 1/3 Un+1 +2 turn in Un+1 < Un+2
And how we know P(n+1) is true
If anyone can speak french and help me maths, it's would be great
spring jackal
par notre definition de la relation, $u_{n+1} = \frac{1}{3}u_n + 2$, donc on faire ce subsitution à gauche
rocky lotusBOT
haseeb
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
spring jackal
._.
pour le droit: ajouter un a l'index pour obtenir $$u_{(n+1)+1} = \frac{1}{3}u_{(n) +1} + 2,$$ ou, simplement $$u_{n+2} = \frac{1}{3}u_{n+1} + 2$$
rocky lotusBOT
haseeb
spring jackal
pour ces preuves, il faut qu'on réarrange la récurrence pour obtenir la "regle" de récurrence, puis faire la substitution comme indiqué
vale dockBOT
@charred root Has your question been resolved?
boreal charm
any good videos on like trigometry for dummies or such (do i need to open a help for this)
merry crystal
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Available help channel!
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verbal hound
3rd one must be defective so its fixed and
1st one and 2nd one can interchange with each othr one being defective and other one being non defective
so prob should be (2C1 * 3C1 * 2!)/(5C3) which gave me 2/5 = 0.4 but its incorrect how ?
vale dockBOT
@verbal hound Has your question been resolved?
flint pumice
There are two cases: 1) 1st defective 2nd not defective 3rd defective and 2) 1st not defective 2nd defective 3rd defective
verbal hound
There are two cases: 1) 1st defective 2nd not defective 3rd defective and 2) 1st...
thats what i wrote
2C1 is selection for one defective piece
3C1 is selection for one non defective piece
and 2! is for arrangement of above two pieces
and last and 3rd is fixed so
flint pumice
wait oh I think I figure it out: (2 C 2)((5-2) C (3-2))/(5 C 3)
(2 C 2)(3 C 1)/(5 C 3) = (3 C 1)/(5 C 3)
verbal hound
wait oh I think I figure it out: (2 C 2)((5-2) C (3-2))/(5 C 3)
its .3 isnt ?
verbal hound
how ?
flint pumice
the sucess state is defective lightblub
verbal hound
2c2 3c1
also include case of defective defective non defective
flint pumice
there are 3 draws
verbal hound
there are 3 draws
yes yes
verbal hound
2c2 3c1
also include case of defective defective non defective
which is not correct right ?
flint pumice
verbal hound
3rd one must be defective
flint pumice
oh nvm
verbal hound
what ? mate ?
flint pumice
if the 3rd one must be defective I think the probability is 0.2
vale dockBOT
@verbal hound Has your question been resolved?
flint pumice
if you test 3 blubs and all 3 are not defective you know automatically the 2 left over are defective
4:07
pseudo burrow
Don’t understand how to get to the answer but i know the answer
pseudo burrow
teacher just kind of gave the answer and it’s the first day of the class
kind of lost
chilly violet
Don’t understand how to get to the answer but i know the answer
What do h, k, and r mean in the standard form equation?
Presumably, you’ve encountered that
pseudo burrow
What do h, k, and r mean in the standard form equation?
r is radius, h is the x value in the centre, k is the y value in the centre
fleet burrow
r is radius, h is the x value in the centre, k is the y value in the centre
so cant you just substitute in the values given in the question?
pseudo burrow
so cant you just substitute in the values given in the question?
the answer is (x-4)^2+(y-4)^2=2 for the first one
i don’t understand how to get to the point
chilly violet
i don’t understand how to get to the point
plug and chug
pseudo burrow
which one?
Q6 B
fleet burrow
the center will be the midpoint of the two points, can you see that?
pseudo burrow
the center will be the midpoint of the two points, can you see that?
yes
pseudo burrow
and the radius will be half the distance of the two points
yeah
fleet burrow
yeah
so you know the coordinates of the center, and the radius
you can find the equation of the circle
fleet burrow
yup
pseudo burrow
then from there i can just plug and get the radius
okay that makes so much more sense
thank you
fleet burrow
that works too
pseudo burrow
that works too
for the other one i just don’t know how to get a^2
yes but i don’t know all the values
mainly x and y
fleet burrow
wait nvm
pseudo burrow
oh
fleet burrow
yes but i don’t know all the values
find the coordinates of the center and radius first
pseudo burrow
find the coordinates of the center and radius first
radius is 1 centre is -5, -4
fleet burrow
that radius is wrong btw
fleet burrow
https://cdn.discordapp.com/attachments/990592732311478272/1379338995154157578/sc...
have you figured out the actual radius?
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Available help channel!
craggy bough
Hello I need help
vale dockBOT
Hello I need help
craggy bough
I need help starting a problem: prove that a mod b = b mod a if and only if a = b
How do I start working through this?
hardy coral
Suppose WLOG a > b
craggy bough
ok
hazy pivot
Then what is b mod a
craggy bough
b
hazy pivot
Good
craggy bough
and a mod b is a-b
craggy bough
right, my bad
hazy pivot
But we don't need to worry about that
Since we know a mod b = b mod a
But then this gives us a mod b = b
Now what
hardy coral
But then this gives us a mod b = b
Sorry what
hazy pivot
a mod b = b mod a, and b mod a = b
hardy coral
Oh fair enough
craggy bough
im not sure whats next
hazy pivot
Wait I just realized I'm using the cs mod and not the number theory mod
hardy coral
I would just say a mod b < b
hazy pivot
But I think it works regardless
hazy pivot
I would just say a mod b < b
Exactly, so we can't have a mod b = b
So what do we have here
craggy bough
its a contradiction
craggy bough
a=b
tawdry belfry
im confused on integration, like how do i get to the result i know about the power rules and stuff but like how do I get there im just confused on the steps and why they are that
tawdry belfry
i just started calc2 so
small vine
vale dockBOT
@tawdry belfry Has your question been resolved?
feral sapphire
im confused on integration, like how do i get to the result i know about the pow...
What is your understanding of integration?
verbal hound
@bruh_sophie0521 thanks
vale dockBOT
@bruh_sophie0521 thanks
verbal hound
.close
vale dockBOT
vale dockBOT
Available help channel!
worn locust
Hi
hazy pivot
Well what is a limit
worn locust
I don't really understand limits
hazy pivot
Well essentially
It's the value a function takes "close" to a point, coming from one direction
worn locust
okay
hazy pivot
This doesn't need to be the same as the function value at that point
rocky lotusBOT
Xavier 🌺
$x \rightarrow -7^{-}$ talks about approaching -7 from the left
worn locust
so, -6?
hazy pivot
Good
tawdry belfry
What is your understanding of integration?
i know the notation and stuff and what it js
son of a bitch
hazy pivot
!redir
vale dockBOT
This channel is only for on-topic discussion. Please take casual conversation to #discussion or #chill.
hazy pivot
Wrong one
worn locust
son of a bitch
chill bro
hazy pivot
!occupied
vale dockBOT
Someone else is already using this help channel. If you need help with a question, please open your own help channel/thread (see #❓how-to-get-help for instructions).
hazy pivot
Now the arrows on that mean that the graph gets closer and closer to a point but never really achieves it
Intuitively you can think of it reaching that value at infinity
worn locust
hmm okay
hazy pivot
Wait no
worn locust
its from the right no?
hazy pivot
Doesn't matter
You don't care about the value at the point
You only care about the value close to the point
worn locust
ok so 7
hazy pivot
Wait hold on are you in school or in college
worn locust
freshman in college
hazy pivot
Oh okay
worn locust
i took honors calc senior yr but i forgot everything lmao
hazy pivot
Have you seen the proper definition of a limit?
Ah cool in that case I can drop some of the training wheels
worn locust
ye
hazy pivot
Are you familiar with the epsilon-delta definition of a limit?
worn locust
nope
worn locust
i don't know what the epsilon delta definition is
hazy pivot
Cool
worn locust
maybe my teacher said it already but never used those words specificallyt
is c) infinity
hazy pivot
No
hazy pivot
Now the arrows on that mean that the graph gets closer and closer to a point but...
^^
Read this and the next message
hazy pivot
maybe my teacher said it already but never used those words specificallyt
Hmm in that case I won't use it
worn locust
?
hazy pivot
I'll have to check the diagram brb
worn locust
ok thx
hazy pivot
Yes it's 2