Notice that x is the radius of the smaller red circle
#help-13
zenith sail
lusty marlin
I see
lusty marlin
so I can find out the radius of the larger circle
zenith sail
right, that's what you're after
vagrant elbow
you can get the length of the base of the second triangle
zenith sail
right, it's also the radius of the smaller circle
lusty marlin
yh, but I need the base for the larger triangle
zenith sail
yh, but I need the base for the larger triangle
isn't that the radius of the smaller circle?
lusty marlin
oh yh
so I get the hypotenuse of the larger triangle as 3^1/2
which equals the radius of the larger circle
zenith sail
right yeah
lusty marlin
what length does the "y" represent
zenith sail
it's just that x-value on the x-axis
But if the center of the circle is at (0,0)
and it passes through (y,0) on the x-axis
then the radius is y
the distance from (0,0) to (y,0)
lusty marlin
Now I get it
zenith sail
🎉
lusty marlin
thx
zenith sail
no problem
lusty marlin
.close
terse tartan
Hello
bronze pivot
how to know the best test to use on this?
cedar kilnBOT
how to know the best test to use on this?
bronze pivot
the best series test
radiant topaz
p
bronze pivot
what?
radiant topaz
p
bronze pivot
??????
tropic oxide
i'd go with cauchy condensation
or integral
reducing this to a p series would take a bit of work would it not? @radiant topaz
tropic oxide
both of these tests i suggested require the terms of your series to be positive
so convergence and absolute convergence are one and the same unless you blind yourself to that sort of thing
ah wait, you can also compare with a p series...
radiant topaz
reducing this to a p series would take a bit of work would it not? <@73479482707...
Probably
bronze pivot
without graphing
tropic oxide
$\log(n) < n^{p}$ for any positive $p$
wraith daggerBOT
Ann
tropic oxide
so n^(1/2) log(n) < n^(1/2) * n^(1/2)
tropic oxide
**Ann**
it must be said of course that this inequality holds eventually rather than outright for all n.
bronze pivot
why
bronze pivot
it must be said of course that this inequality holds *eventually* rather than ou...
why eventually?
tropic oxide
for example if you take p = 1/5, log(n) is actually greater than n^(1/5) for quite a while, but n^(1/5) takes over at n somewhere around n=330,000
so the inequality ln(n) < n^(1/5) taken in full literality is only true for n greater than that value
radiant topaz
Ye
tropic oxide
but my idea was that you should not be afraid of a series violating some property on a finite number of terms
bronze pivot
but my idea was that you should not be afraid of a series violating some propert...
what other stuff do I have to memorize to get better at series tests
bronze pivot
well, ln(n)<n^(1/2) actually does happen to hold for all n
okay
am i doing this right so far
is this right?
can someone tell me please
radiant topaz
Yes it is wrong
bronze pivot
Yes it is wrong
what am I doing wrong?
bronze pivot
Yes it is wrong
can you tell me what's wrong
radiant topaz
Yes
wraith daggerBOT
fäf
bronze pivot
why did you put two sqrt(n)'s
radiant topaz
I multiplied both sides by 1/sqrt(n)
bronze pivot
why?
bronze pivot
To get the form asked in question
should I always do that?
bronze pivot
That's why there are a lot of methods
im having a hard time choosing what method 😦
also i am just bad at proving
and picking what to compare it o
radiant topaz
im having a hard time choosing what method 😦
Same here
radiant topaz
Just solve questions and try to be comfortable tackling different types of problems
radiant topaz
Keep on trying
bronze pivot
and also I get stuck
radiant topaz
Then you can ask here
bronze pivot
Then you can ask here
am I comparing it with 1/n now?
bronze pivot
Then you can ask here
or not
radiant topaz
am I comparing it with 1/n now?
The whole thing yes
bronze pivot
The whole thing yes
what about now
bronze pivot
The whole thing yes
is this still wrong?
radiant topaz
No
tropic oxide
four pings 
radiant topaz
it's correct now?
If its not wrong then I wonder what it is
radiant topaz
No
radiant topaz
Yes
radiant topaz
Who said p=1/2
radiant topaz
p=1
cedar kilnBOT
cedar kilnBOT
Available help channel!
long mauve
How to do this
cedar kilnBOT
How to do this
long mauve
.close
worn frigate
cedar kilnBOT
tough carbon
they have already said its 5m
because they've already strung out the x metres
therefore the remaining metres would be 5 take away whatever x metres was for the base
cedar kilnBOT
Available help channel!
grand raft
In a circular square there are stands of 100 merchants, each of which has a certain amount of coins. all
A merchant sells fish at his own fixed price. Each merchant has an unlimited supply of fish. on the first day one
of the merchants had assembled a golden rod. Each day thereafter the merchant holding the gold rod goes to the merchant's booth
The next in the circle, hands him the rod and then buys from him as many fish as possible according to the money he has.
If the merchant fails to buy fish at all on any day, that day will be called a sad day.
They proved that if the day 2022 is a sad day then the day 2023 will also be a sad day
grand raft
I know the answer but I have a question
Doesnt it mean all days are sad?
pls smart people
cedar kilnBOT
@grand raft Has your question been resolved?
lime crystal
cedar kilnBOT
lime crystal
How would you solve this?
devout prairie
What is the relation between two consicutive terms in arithmetic sequence
lime crystal
the difference?
devout prairie
Un + r = Un+1
crimson sedge
a) is 31 use the formula t = a+ (n-1)d
lime crystal
a) is 31 use the formula t = a+ (n-1)d
it would be 0 = 45 + (n-1) -1.5 right?
crimson sedge
it would be 0 = 45 + (n-1) -1.5 right?
yes
b)maxm sum will be possible till last term becomes zero so till n=31 use sn = n(a+l)/2
crimson sedge
it will give 697.5
crimson sedge
thank youu
ur welcome
lime crystal
b)maxm sum will be possible till last term becomes zero so till n=31 use sn = n...
wait what is l?
devout prairie
First and last term
wide scaffold
if (A\B) ∩ C = ∅ then .A ∩ C ⊆ B
cedar kilnBOT
if (A\B) ∩ C = ∅ then .A ∩ C ⊆ B
wide scaffold
That statement is wrong right?
I did some things and got to the point where x is element of A ∩ C but not in B
just making sure I am corret
cedar kilnBOT
@wide scaffold Has your question been resolved?
wide scaffold
if (A\B) ∩ C = ∅ then A ∩ C ⊆ B
earnest fiber
Yeah, the statement is wrong
You can see it just by assigning some nums to it.
Let's say A is {1, 2} B is 3, 4 and C is 5, 6
Here the first one would hold true but the second one would not
wide scaffold
so the empty set is not considered
like can we not say that A intersect C = {} and {} is in B?
earnest fiber
Hmmm, yeah, now that you say that, we can
wide scaffold
That's why im confused
Sorry for the language, I tried this
not sure if the process is correct though
earnest fiber
Well, after the step (B complement) intersection with (A intersection C)
It's clear if you visualise it. If the value of it is a null set that means the B complement has nothing in common with A intersection C. This means that whatever exists in A intersection C must exist in B also
Not sure how to write it tho
cedar kilnBOT
@wide scaffold Has your question been resolved?
wide scaffold
Maybe I can use contrapositive if NOT(A ∩ C ⊆ B) then NOT((A\B) ∩ C = ∅)
So here's my final proof to if NOT(A ∩ C ⊆ B) then NOT((A\B) ∩ C = ∅):
"We assume the x is an element in AnC => (x element in C and A)(x not element in B)
From here, we check if (A\B)nC≠∅
Since x is element in A and x is not element in B then we can say that x is an Element in (A\B)
Plus, according to our assumption x is element in C
Therefore, x is an element in (A\B)nC
SO IT CANT BE (A\B)nC=∅"
That's a clearer way to put it since my terminology sucks in English
wide scaffold
.close
turbid spoke
somoene can explain me this ?
cedar kilnBOT
somoene can explain me this ?
turbid spoke
cedar kilnBOT
@cinder stratus Has your question been resolved?
cinder stratus
.close
cedar kilnBOT
cedar kilnBOT
Available help channel!
terse tartan
Hello
terse tartan
Can i get
Your help on my hw
Cool thank you
Ok
So that’s the problem
This is my attempted solution
mental trail
The point is to bring every thing to the same denominator
Start back from the 3rd line
Actually even the 2nd line is good
mental trail
The point is to bring every thing to the same denominator
So to simplify it, try to express the right hand side as (......)/sin(t)
mental trail
How did you bring sin(t) inside the fraction?
terse tartan
(Cos(t)Cot(t))/sin(t) x Sin(t)/1
Ah wait i think i made a mistake
I am a little lost
mental trail
Alright
I will give you a small example
If i have a number, let's say 5, but I want to write it with a denominator of 6, i write 5 = 5×6/6 = 30/6
If I have a quantity x, but I want this under a denominator of y, I write : x = xy/y
So if I want sin(t) written with a denominator of sin(t), what do I write?
crimson sedge
This is confusing
crimson sedge
.close
upbeat loom
I have forgot how I am supposed to evaluate this
cedar kilnBOT
I have forgot how I am supposed to evaluate this
@upbeat loom Has your question been resolved?
west gazelle
you’re integrating the y variable
so x is like a constant
and you only need to integrate the cos(y)
upbeat loom
and you only need to integrate the cos(y)
I know im just forgetting how to do the upper bound.
west gazelle
sin(3pi/2) - sin(pi)
cedar kilnBOT
cedar kilnBOT
Available help channel!
torpid urchin
cedar kilnBOT
torpid urchin
could someone explain why my coefficients are wrong?
i think it must have to do with having the wrong series?
silk thistle
The function is +8x not -8x
torpid urchin
right i ended up noticing that
and flipped that 8 to -8 inside the bracket
but i feel like there is more wrong as the c1 term would still be 8
which is wrong
have i done something wrong?
dire geode
your power series doesn't match the form in the question
torpid urchin
oh yeah i need cnx^n
dire geode
what is the first term?
torpid urchin
c_0
right
cn
so i need to change my series to fit that form?
wait.
its a taylor series?
dire geode
doesn't matter what you call it
dire geode
google how to shift power series
dire geode
probably
dire geode
would the x^n here atleast imply a=0?
a = 0 yes
torpid urchin
alright
i tried working with it as a taylor series but cant figure out this last part of it
also missed a -1^n in front
dire geode
that's definitely the wrong way to do the problem
dire geode
you were closer here
torpid urchin
that's definitely the wrong way to do the problem
pain
frosty sphinx
Is it possible to turn indefinite integral into definite integral? (turn the generalized form of the integration integral f(x) at y to integral f(x) from a to b, that a and b are some real numbers with respect to the function f and the real number y)
It'd be useful to calculate the indefinite integral programmitically, and approximate it as we could do in definite integrals (using Riemann's sum)
cedar kilnBOT
Is it possible to turn indefinite integral into definite integral? (turn the gen...
@frosty sphinx Has your question been resolved?
lethal jackal
not sure what you mean by approximate an indefinite integral
indefinite integrals don't have numerical values
frosty sphinx
indefinite integrals don't have numerical values
Indefinite integrals at a specific point should have a numerical value
frosty sphinx
Assuming that integral f(x) = g(x), I want to get the numberical value of the the function f at a point, like y
lethal jackal
what value does that have
frosty sphinx
suppose I write that the indefinite integral of 2x dx is x^2 + C
Yeah, but e.g. the indefinite integral of it, at 5 is 25
lethal jackal
huh? no it's not
frosty sphinx
huh? no it's not
Just replace x with the number you want
frosty sphinx
that could literally be any number
I mean, don't care that C..
frosty sphinx
:/
lethal jackal
$\int_0^x 2t , dt = x^2$
wraith daggerBOT
Saccharine
frosty sphinx
**Saccharine**
For this example, this statement is true. But not necessarily
That's true, if and only if the indefinite integral of it at 0 is 0
lethal jackal
no you're not making any sense whatsoever
frosty sphinx
Assuming the integral of the function f is F, this statement is true, only when F(0) = 0
lethal jackal
the indefinite integral doesn't have a defined value at a point
frosty sphinx
the indefinite integral doesn't have a defined value at a point
Assume the constant C is 0
lethal jackal
suppose you say that an indefinite integral of a Riemann-integrable function f is F such that F' = f
lethal jackal
Assume the constant `C` is 0
that's a definite integral
frosty sphinx
that's a definite integral
I said, it isn't necessarily
lethal jackal
if you assume that integral of something on a certain interval = 0
frosty sphinx
The indefinite integral is being defined by F(b) - F(a)
lethal jackal
no, that's a definite integral
frosty sphinx
The indefinite integral is being defined by `F(b) - F(a)`
But I just want F(b) - 0
lethal jackal
$\int_a^b f(t) , dt = F(b) - F(a)$
wraith daggerBOT
Saccharine
frosty sphinx
But I just want `F(b) - 0`
So, we have to find a, such that F(a) = 0
And in the example that you said, it is - but that's not necessarily true
lethal jackal
But I just want `F(b) - 0`
requiring F(some value) = 0 is a definite integral
frosty sphinx
requiring F(some value) = 0 is a definite integral
=> some_value = F^-1(0)
..how am I supposed to calculate F^-1(0)?
lethal jackal
what are you even saying
suppose you say that an indefinite integral of a Riemann-integrable function f is F such that F' = f
do you agree with this definition of indefinite integral?
frosty sphinx
> suppose you say that an indefinite integral of a Riemann-integrable function f...
Yep
lethal jackal
then how are you supposed to figure out a unique value for F(1), for example?
it could literally be anything
suppose you have an F that works
what privileges that over something like G = F + 25
frosty sphinx
it could literally be anything
It could literally be anything, if C is not known
lethal jackal
obviously C isn't known
frosty sphinx
We can say it with respect to C, or well, assume that C = 0
lethal jackal
that's the indefinite part of the indefinite integral
that still doesn't make any sense
I can write something like $\int 2t ,dt = t^2 + 4 + C$
wraith daggerBOT
Saccharine
frosty sphinx
**Saccharine**
Assume that it has no literal integer being added to the function*
frosty sphinx
Assume that it has no literal integer being added to the function*
Is this assumation okay now?
lethal jackal
that still doesn't make any sense
a function is just something that takes in a value and spits out a value
how I choose to write it has no bearing on what it does
frosty sphinx
a function is just something that takes in a value and spits out a value
Yeah
But let's limit what it can be, from the assumation
lethal jackal
no you can't limit it like that
that "limit" makes no sense
there is nothing that makes t^2 more "pure" than t^2 + 4
I can keep giving worse and worse examples
frosty sphinx
there is nothing that makes t^2 more "pure" than t^2 + 4
Let's assume that we can't, and we aren't able to add an integer after a function containing no integer
lethal jackal
you need to state an actual mathematical way you're going to define the value of an indefinite integral
lethal jackal
Let's assume that we can't, and we aren't able to add an integer after a functio...
how does t^2 not contain any integer? why can't I write it as (t^2 - 6) + 6?
how do you define whether a function contains an integer or not?
frosty sphinx
how does t^2 not contain any integer? why can't I write it as (t^2 - 6) + 6?
"the result function is okay, if we can write it as a function with no integer after"
You can turn t^2 + 6 - 6 to t^2, with no integer after
"exists a function equavaliant to that, being added by no integer"
lethal jackal
that's not a mathematical definition
you need to define what a function is based on the behaviour of its inputs and outputs
because functions are literally just the list of inputs and the list of outputs
frosty sphinx
that's not a mathematical definition
Okay, I'm defining it now..
lethal jackal
how do you define "has an integer" if it's just {(0, 5), (1, 6), (2, 9), (3, 14), ...}
I'm just going to straight up tell you that there's probably no definition along this approach that makes any sense at all
frosty sphinx
how do you define "has an integer" if it's just {(0, 5), (1, 6), (2, 9), (3, 14)...
Newton's polynomial..?
lethal jackal
Newton's polynomial..?
no, that is the set notation of the function f(t) = t^2 + 5
frosty sphinx
...
lethal jackal
you can keep trying to patch what you think are loopholes
but the problem here is your definitions don't make any mathematical sense
frosty sphinx
no, that is the set notation of the function f(t) = t^2 + 5
Then, this function wouldn't be a member of the set of the functions being acceptable by definition of that set that I did..?
lethal jackal
let me ask you
what's the value of the indefinite integral of 2x + 2 at 0?
your supposed defined value
frosty sphinx
what's the value of the indefinite integral of 2x + 2 at 0?
That would be x^2 + x, and if we give 0 to x, it would be 0^2 + 0 = 0
lethal jackal
why isn't it 1
frosty sphinx
why isn't it 1
cuz I assumed that C = 0..
lethal jackal
That would be `x^2 + x`, and if we give 0 to x, it would be `0^2 + 0 = 0`
and x^2 + x is not an indefinite integral of it
it's x^2 + 2x
okay but why can't I say that x^2 + 2x + 1 is
why can't I say that C = 0 for x^2 + 2x + 1 + C
frosty sphinx
cuz I assumed that C = 0..
And when you say like, "I can do it like 4 + C", now you defined another constant C' = 4 + C = 4 - as the assumation, the constant (that became C' now) should be equal to 0, but here it isn't
lethal jackal
why can't I say that an indefinite integral of 2x + 2 is x^2 + 2x + 1
and therefore the general indefinite integral is x^2 + 2x + 1 + C?
frosty sphinx
why can't I say that an indefinite integral of 2x + 2 is x^2 + 2x + 1
You can. But I added the assumation that C = 0
frosty sphinx
I did that, to make me being able to solve the problem
frosty sphinx
so the value is 1
But now you're adding another constant, i.e. 1
frosty sphinx
no I'm not
That is recognized as the constant in the indefinite integral
lethal jackal
huh?
frosty sphinx
The constant == the value that if you change it in the function, the derivative of it wouldn't be changed
frosty sphinx
The constant == the value that if you change it in the function, the derivative ...
Is this definition good enough?
lethal jackal
why is THE of indefinite integral of 2x+2 supposedly defined as x^2 + 2x
instead of (x+1)^2
frosty sphinx
The constant == the value that if you change it in the function, the derivative ...
And since by changing that 1 to any other number the derivative of it wouldn't change, it'd be recognized as the indefinite integral's constant as the definition
frosty sphinx
why is THE of indefinite integral of 2x+2 supposedly defined as x^2 + 2x
Let's define the "constant of an indefinite integral"
lethal jackal
Is this definition good enough?
no it's just a word salad, because there's no "value if you change it in the function"
lethal jackal
Let's define the "constant of an indefinite integral"
how do you define that
frosty sphinx
The constant == the value that if you change it in the function, the derivative ...
^wasn't that a good definition?
lethal jackal
no it made absolutely no sense
frosty sphinx
no it made absolutely no sense
:/
lethal jackal
what is "value that if you change it in the function"
a function is defined by its outputs and inputs
let that sink into your head
frosty sphinx
what is "value that if you change it in the function"
That is, that + C that we add in the indefinite integral, or that numbers that you said that you can add, but with this definition would be recognized as the constant
frosty sphinx
a function is defined by its outputs and inputs
yeah, I know..
lethal jackal
it is quite literally the set of ordered pairs {(input1, output1), (input2, output2), ...} (well, it's not countable, but whatever)
no you don't
frosty sphinx
Let's leave the previous things that I defined
frosty sphinx
The constant == the value that if you change it in the function, the derivative ...
What's the problem of this definition?
lethal jackal
wtf does "the value that if you change it in the function" even mean
frosty sphinx
wtf does "the value that if you change it in the function" even mean
Any literal number*
lethal jackal
how do you get 4 from {(0, 4), (1, 5), (2, 8), ...}
lethal jackal
Any literal number*
any number that if you add it to a function, it doesn't change the derivative?
frosty sphinx
any number that if you add it to a function, it doesn't change the derivative?
Yeah, or if you change it
lethal jackal
that definition makes no sense
if you add ANY number to a function
it doesn't change the derivative
how are you going to claim that's unique
yknow what
frosty sphinx
if you add ANY number to a function
And that number would be recognized as the constant of the function.. what's the problem then?
lethal jackal
And that number would be recognized as the constant of the function.. what's the...
so the constant of the function x^2 is 4, and it's 6, and it's 19, and it's pi, and it's 3948234?
adding ANY of those numbers doesn't change the derivative
frosty sphinx
so the constant of the function x^2 is 4, and it's 6, and it's 19, and it's pi, ...
I'm not trying to find the constant
We actually cannot
frosty sphinx
so the constant of the function x^2 is 4, and it's 6, and it's 19, and it's pi, ...
It can be these values
lethal jackal
you still haven't explained why "the" indefinite integral of 2x + 2 is x^2 + 2x instead of (x+1)^2
frosty sphinx
It *can* be these values
There'd be no problem. Just set that well-known C to one of them..
lethal jackal
stop
frosty sphinx
:/
lethal jackal
just answer my question
you still haven't explained why "the" indefinite integral of 2x + 2 is x^2 + 2x instead of (x+1)^2
this one
if you're going to try to construct some other dumb rule
stop
I have MORE examples where your patching up will fail
you just fundamentally misunderstand what x^2 + C means
frosty sphinx
> you still haven't explained why "the" indefinite integral of 2x + 2 is x^2 + 2...
(x + 1)^2 is the same as x^2 + 2x + 1, and here, the + 1 here is recognized as the constant, since we can change it to any other number
lethal jackal
(x + 1)^2 is the same as `x^2 + 2x + 1`, and here, the `+ 1` here is recognized ...
why can I not write x^2 + 2x = (x+1)^2 - 1
and say that x^2 + 2x is the one with the constant
yknow what
just sotp
stop arguing
it's very obvious that whatever approach you're using to define the value of the indefinite integral of something
is completely baloney
the standard definition of the indefinite integral does not admit talking about its "value" at something -- it's nonsense
frosty sphinx
Or maybe define it like that: "if doesn't exist a function equavaliant to the function f that by changing a literal value of it the derivative of it would change, the function has the constant 0"
lethal jackal
do you know what $\int 2t , dt = t^2 + C$ means?
wraith daggerBOT
Saccharine
frosty sphinx
**Saccharine**
Yeah :/
lethal jackal
what does it mean
frosty sphinx
The derivative of t^2 + C, whatever C is, becomes 2t
lethal jackal
it means that ANY function that can be written in the form t^2 + C has derivative 2t
that is LOGICALLY EQUIVALENT to saying any function that can be written in the form t^2 + 4 + C has derivative 2t
frosty sphinx
Ok
lethal jackal
one way of writing it is not any more "correct" than the other
so your idea of somehow "setting C = 0" makes no mathematical sense
and stop trying to insist it does
frosty sphinx
That's right. But I'm trying to filter some results of the function, so I can solve the actual problem, by changing what we assume
And I'm too sleepy now, and my brain doesn't work
So, maybe, bye for now
lethal jackal
you can't filter that stuff
you need to reconsider wtf you mean by approximate an indefinite integral
there are a ton of other examples
one that comes to the top of my mind is something like 1/(4x)
frosty sphinx
you need to reconsider wtf you mean by approximate an indefinite integral
I was trying
lethal jackal
no you weren't
you were just trying to assert that an indefinite integral has a value
frosty sphinx
Or maybe define it like that: "if doesn't exist a function equavaliant to the fu...
Maybe the last thing I defined was more appropriate^
lethal jackal
when under the standard definition, that makes absolutely no sense
your definitions are just word salads
they make no sense
how about instead of saying indefinite integral
you state exactly what you want
just state some properties
frosty sphinx
Don't expect my brain to be perfect after 18 hours of being awake, and the moment before I sleep..
I don't even know what I'm doing
lethal jackal
are you trying to find any function F such that the integral of f is F(b) -F(a)?
frosty sphinx
are you trying to find *any* function F such that the integral of f is F(b) -F(a...
That's what the definite integral is
lethal jackal
no it's not
frosty sphinx
..anyway, I prefer to sleep now
lethal jackal
the indefinite integral describes an entire class of functions
frosty sphinx
the indefinite integral describes an entire class of functions
I meant, definite*
cedar kilnBOT
@frosty sphinx Has your question been resolved?
bronze briar
if anyone is familiar with the ti-nspire CX II calculator, is it possible to copy a .py file from my pc to the calculator? I found a reddit post about this but there were no distinct answers
cedar kilnBOT
if anyone is familiar with the ti-nspire CX II calculator, is it possible to cop...
@bronze briar Has your question been resolved?
bronze briar
.close
flint plinth
this isn't really suitable for a help channel, see guideline 3:
that's from #rules btw
nah that dude was wrong to suggest that
you could try #discussion
cedar kilnBOT
@fossil ridge Has your question been resolved?
twilit lagoon
how do this
cedar kilnBOT
how do this
twilit lagoon
i know how to press it on a calculator that is the limit of my understanding
solid thorn
I’ll just send a video to explain then
Goes into depth but if you don’t have time skip to 11 minute mark
It actually talks about relevant stuff there
For you
cedar kilnBOT
Available help channel!
small willow
hi guys i need help with how to find the range of values for Δc_j for which the solution remains optimal. i know how to do it for variables with are non basic, but im not sure how to get it for basic variables. heres the tableau and the obj functions. i already found the ranges for x2 and x3, but again, im not sure how to obtain the ranges for x1 and x4
small willow
looking at the textbook i understasnd that i need to use the formula below, but im not sure how to find and plug the numbers into it
cedar kilnBOT
@small willow Has your question been resolved?
small willow
no bro no one said anything
civic elk
How do I find the actual value? It wasn’t given by my teacher
dire geode
How do I find the actual value? It wasn’t given by my teacher
Not enough information given
Go back and read the previous information and figure it out
civic elk
Not enough information given
Sorry abt that
It’s a titration lab where we have to find the percentage of vinegar
civic elk
Go back and read the previous information and figure it out
I’ve re read it like 10 times and it dosent have a single clue
civic elk
I can try and get the whole lab
inland ocean
Sure that'd be nice
The actual value is the mean of all the readings of your experiment
civic elk
inland ocean
The final absolute value or the absolute mean value is the mean of the difference in your true value and the respective readings
When you divide that by the actual value and mulitply it by 100 you get the percentage error
civic elk
Well the problem is I don’t have the actual value
And idk where to find it, the teacher never talked abt it
inland ocean
I just mentioned what the actual value was
civic elk
The final absolute value or the absolute mean value is the mean of the differenc...
This?
inland ocean
The actual value is the mean of all the readings of your experiment
This
civic elk
Ohh, didn’t see that sorry
So basically the average
Still not getting it
I got 1% error?
civic elk
Idk ig I’ll just have to ask tmr
inland ocean
Lets start with 3
It says to calculate the amount of 0.1M NaOH required to neutralize 50mL of 0.6M acetic acid sol
If that is correct
$CH_3COOH + NaOH => CH_3COONa + H_2O$
wraith daggerBOT
ColdTee
civic elk
Well 4 should also be correct that’s the one I asked my teacher abt
inland ocean
$Molarity = \frac{n}{V}$
wraith daggerBOT
ColdTee
inland ocean
Its not visible can you tell me what you did in 4
civic elk
0.35 (V) = (M)(10ml)
0.35 * 19 = 6.65
6.65 / 10 = 0.665 M
inland ocean
Not very visible they multiplied molarity of vinegar with ?
inland ocean
Yeah 6
Alr so
The different volume readings for both the compound are given and the molarity have also been given, i think you have to take the mean of the readings of molarity for actual value.
civic elk
And what abt the experimental value then?
civic elk
Ye, nw
inland ocean
Wasnt the one that we calculated the experimental value, wont the actual value be given to us.
civic elk
That’s what I was thinking
But my teacher never gave us anything
For rn, im just Gona put this and turn it in, I’ll ask my teacher tmr
Tnx for the help
Hope ur head also gets better
.close
spare geyser
hello <@&286206848099549185>
cedar kilnBOT
hello <@&286206848099549185>
cedar kilnBOT
hello <@&286206848099549185>
Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.
obsidian coral
Do not open a channel by pinging helpers as the first message
spare geyser
im sorry
i was having network challenges. please my question is
how do i sketch a pipeline diagram of 6 operational cycles of a typical 8086 microprocessor
<@&286206848099549185>
cedar kilnBOT
<@&286206848099549185>
Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.
halcyon eagle
cedar kilnBOT
@spare geyser Has your question been resolved?
slow thicket
how do i sketch a pipeline diagram of 6 operational cycles of a typical 8086 mic...
how is that math
this is engineering
cedar kilnBOT
@spare geyser Has your question been resolved?
pseudo merlin
hello
cedar kilnBOT
cedar kilnBOT
@unkempt steeple Has your question been resolved?
cedar kilnBOT
@unkempt steeple Has your question been resolved?
cedar kilnBOT
@unkempt steeple Has your question been resolved?
cedar kilnBOT
@unkempt steeple Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
tough plinth
could some explain to me why 1/x diverges?
cedar kilnBOT
could some explain to me why 1/x diverges?
tough plinth
was doing the convergence/divergence test for the n/n^2 + 1 infinite series
and did the limit comparison
where an = n/n^2+1
bn = 1/n
scenic fable
can you hel me with AMGA
tough plinth
amga?
craggy perch
tough plinth
.close
molten kernel
hello
cedar kilnBOT
@molten kernel Has your question been resolved?
modern compass
which one?
modern compass
|AxB| = |A| * |B|
|P(B)| = 2^|B|
{2} is an element of A, not a subset
2 is not {2} so 2 is not an element of A
cedar kilnBOT
@molten kernel Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
languid fjord
What does the bracket(?) mean?
cedar kilnBOT
What does the bracket(?) mean?
cedar kilnBOT
crimson delta
otherway around is floor
cedar kilnBOT
Available help channel!
hot iron
is it possible
cedar kilnBOT
is it possible
crimson sedge
there is no elementary antiderivative
you'll have to use the fact that $e^x = \sum_{n=0}^\infty} \frac{x^n}{n!}$
wraith daggerBOT
Nika
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
mortal yarrow
? it's not just e^(x^3)/3x^2
crimson sedge
No
violet rapids
nooope
hot iron
why would it be that?
mortal yarrow
if you derivate you get your first result
hot iron
@mortal yarrow explain your though logic
violet rapids
because the secret background math equations dont let us
muted bear
oh yeah i guess you can use maclaurin
crimson sedge
**Nika**
Compile Error! Click the <:errors:504266556054962196> reaction for more...
and integrate term by term
muted bear
pepega whats the original problem?
hot iron
we can't do that unless there is no x multiplier though righ @mortal yarrow
integral of e^(x^3)
dull oxide
oh yeah i guess you can use maclaurin
Yeah. Infinite series is the only analytical solution
muted bear
send us a picture or screenshot of the orignal problem pleaes
hot iron
uh
dull oxide
,w integral e^(x^3)
hot iron
i don't own
wraith daggerBOT
muted bear
it is inevitable
dull oxide
Incomplete gamma function
dull oxide
This is why we keep saying it can't be solved (analytically)
hot iron
my bad
dull oxide
You either need to do series, or incomplete gamma function
dull oxide
You're allowed to use series?
dull oxide
Then there is no solution for you
hot iron
i was thinking
maybe
okay
idk how to write it so you can visualise it but
imagine
we integrate by parts an expression
and you get the like loop when you do the u'v part of the equation. so uv-integral of u'v
Ignore me ong
.close
plush lagoon
how do i do the first one
cedar kilnBOT
how do i do the first one
cedar kilnBOT
@plush lagoon Has your question been resolved?
plush lagoon
<@897807395433095218>there are only 2 unique shapes
the first one is 170mm?
plush lagoon
what yes i did
plush lagoon
the first shape
slow thicket
???
im thinking of two numbers
which is the first one
thats what youre telling me
plush lagoon
idk wym
slow thicket
which shape are you talking about
there are two shapes
there is a triangle and rectangle
slow thicket
you gave me a single number
there is a different number for each shape
how did you calculate 170
slow thicket
where did you get 10 from
plush lagoon
1cm= 10mm
slow thicket
so your first step to calculate the area was to turn a side length from cm to mm?
do you know how to calculate area
plush lagoon
idk how
slow thicket
look itup
slow thicket
plush lagoon
oh nah i’m not using fractions how do i do it without that?
slow thicket
do you mean (1/2)
dull oxide
oh nah i’m not using fractions how do i do it without that?
Instead of dividing by 2, you can multiply by 0.5
plush lagoon
whats the area for the triangle in your hw
382.5
slow thicket
nope
plush lagoon
1/2 is 2 divided ?
dull oxide
1/2 is 2 divided ?
1/2 is ? divided by 2
plush lagoon
2 divided by 17?
slow thicket
no
1/2 is one divided by 2
if there are two people who are sharing a cookie
each person gets 1 cookie divided by 2 people
which is half (1/2) a cookie
plush lagoon
so what do i do
plush lagoon
17x45 then what is the /2?
plush lagoon
how do i do 1/2 x 45x17
plush lagoon
no
plush lagoon
WDYM
slow thicket
what is l
slow thicket
no
how is that possible
no shape that you are given has those dimensions
draw it out
and label l, w, b, h
without the numbers
just the letters
plush lagoon
no can you show it
slow thicket
no
plush lagoon
the bottom one is l
slow thicket
are you on mobile
plush lagoon
yes
plush lagoon
so there’s no w anymore
slow thicket
There is
plush lagoon
i can’t do it i’m gonna kms help pls
slow thicket
Gimme a min
plush lagoon
how do i do the question thoooo
plush lagoon
yup
plush lagoon
what? 17x 45
slow thicket
which area is that
plush lagoon
it’s 765
plush lagoon
rectangle
slow thicket
okay now the triangle
plush lagoon
17x15.5?
plush lagoon
then divide it by 2
slow thicket
yes
slow thicket
there are only two shapes
you gave me three numbers
and you didnt label which one is which
plush lagoon
the rectangle is 765 and the triangle is 131.75
slow thicket
yes
plush lagoon
???
slow thicket
but how many of each are there
slow thicket
what are you sayin
say a cube
each side is a square
say it has side length 5
the total area of the cube is not just 5*5
since there are 6 squares
plush lagoon
ok
slow thicket
same thing here
plush lagoon
so i x all them
plush lagoon
2 numbers
plush lagoon
ok
slow thicket
count the rectangles
plush lagoon
2
slow thicket
not quite
plush lagoon
o4
slow thicket
no
also no
this is a solid shape
like if I give you this
its not just 3 squqres
theres 6
so how many triangles
slow thicket
it is not 6
slow thicket
ALL OF THE SHAPE SIDES?
i dont understand
slow thicket
look at this again
every rectangle has two triangles at the end
how many rectangles are there
slow thicket
no
plush lagoon
what is it
plush lagoon
we almost done
what
plush lagoon
you said it before
OH
slow thicket
how many triangles are there
plush lagoon
how many triangles
idk
slow thicket
every rectangle has two triangles at the end
plush lagoon
idk
slow thicket
There are 4 rectangles
plush lagoon
i said 4 and 4
slow thicket
No
plush lagoon
ok
plush lagoon
every rectangle has two triangles at the end
there’s 2 triangles
plush lagoon
i did
plush lagoon
oh the rectangle has 2 triangles
slow thicket
Each
plush lagoon
yes
slow thicket
So how many total