brittle gazelle
looks like most geometry libraries would model these as multi-linestrings
#help-36
muted fox
How to calculate all possibilities is a equation ?
final saddleBOT
How to calculate all possibilities is a equation ?
@muted fox Has your question been resolved?
muted fox
Is it 144
final saddleBOT
@muted fox Has your question been resolved?
astral basalt
Hi, there
astral basalt
My question is, I want to make a working model on Mathematics, can anybody help me by giving some ideas?
What can we make?
sand spear
your question isn't clear, could you give some more details?
astral basalt
For example - previous year I made 7 bridges problem for exhibition
Which was a working model
runic remnant
So you want to construct a mathematical model of a real world problem? Like has been done with the 7 brides of Königsberg?(https://en.wikipedia.org/wiki/Seven_Bridges_of_Königsberg )
astral basalt
Yeah
runic remnant
What problem are you looking at?
astral basalt
Can you give me an idea, I don't know, I am short in time?
runic remnant
So for a school assignment?
astral basalt
No, for college, I am pursuing B.Sc B.Ed Maths
It is for Mathematics day, which we are celebrating on 22 December
runic remnant
How related to the real world does it have to be? Are you doing some engineering?
astral basalt
No, not much High Tech but more than Average
astral basalt
How related to the real world does it have to be? Are you doing some engineering...
What is your Idea? What do you think? What you would have made?
runic remnant
I have worked on a couple of applied mathematics problems in the last year. But most of them are within a combination of math, programming and chem. Like when i worked on a program to balance chemical equations using linear algebra, or the time i used Newtons method combined with the titration equation to solve for points on a teoretical titration kurve.
Doesn't seam like something fitting though
So maybe someone else has a good idea
astral basalt
Yeah, Thank you so much @runic remnant
But can you share about how you used linear algebra to balance chemical equations
<@&286206848099549185>
final saddleBOT
@astral basalt Has your question been resolved?
astral basalt
Can you help @runic remnant
runic remnant
do you by any chance read danish?
You can do it using this
Pretty straitforward
@astral basalt
final saddleBOT
@astral basalt Has your question been resolved?
final saddleBOT
@astral basalt Has your question been resolved?
final saddleBOT
@astral basalt Has your question been resolved?
astral basalt
@runic remnant can you share a link or screenshot of the document
Because it doesn't get downloaded
astral basalt
.close
final saddleBOT
final saddleBOT
Available help channel!
peak ice
Is the solution I'm pointing to missing a +C?
final saddleBOT
Is the solution I'm pointing to missing a +C?
lethal estuary
yes, and "dx" shouldn't be there
final saddleBOT
final saddleBOT
Available help channel!
shut marsh
Which of the following is an equivalent expression to 8 · (1 + 0.10)^2x?
64 · (1.1)^x
8 · (2.2)^x
8 · (1.21)^x
16 · (1.1)^x
shut marsh
ping when answered
shadow aspen
ping when answered
(a^b)^c = a^(bc)
shut marsh
(a^b)^c = a^(bc)
shadow aspen
<:pepethink:1069160307416649778>
think about how you can rewrite (1.1)^2x using exponent properties so you can combine the 2 with either 8 or 1.1 in some way
shut marsh
(1.21)^x?
shadow aspen
ye
shut marsh
so its c
shadow aspen
ye
eager junco
final saddleBOT
fallow wren
it is all almost correct
however the last set is not a basis (they are not linear independent)
just delete one (0 1 0)
eager junco
however the last set is not a basis (they are not linear independent)
oh i see
and for part d it isnt invertible i believe
since each row and col doesnt have a pivot
fallow wren
invertible iff linear+ one to one
eager junco
so its not?
eager junco
ok, i had two more similar questions i wanted to check
mostly concerned with part e and if i am doin is right
fallow wren
eager junco
what do you think?
eager junco
sorry i forgot to include another step there: r2/-3 and thats how i got:
1 - 1 1 1
0 -1 1 0
fallow wren
oh ok
then i think you can solve the simplified system ..but then you have to do all your raw transformation backward, so that you get the solution for the original system
eager junco
isnt that what i did?
basically what im asking for is that: are my steps for step e correct?
fallow wren
i don t see the -3 factor nowhere
eager junco
where are you getting (3,4,4) from
fallow wren
eager junco
i dont see 3,4,4
fallow wren
because you are not doing the sum..
eager junco
[x,y,z] = [1,z,z] + z[1,1,1]
fallow wren
ah they are z's
fallow wren
no 😭
eager junco
can you ping maybe one of your more advanced helpers for this topic?
I just need to know if im doing this right
fallow wren
i can learn the method in 1 min
eager junco
i can learn the method in 1 min
well am i doing this correctly then
fallow wren
ok i got it
this claim that i said is false "....but then you have to do all your raw transformation backward, so that you get the solution for the original system"
eager junco
ok i also realized i kinda did it wrong
it should be [x,y,z] = [1,z,z] + z[0,1,1]
not [x,y,z] = [1,z,z] + z[1,1,1]
fallow wren
so you have only to reduce your matrix to a scale matrix
then solve the last matrix equation and that is your solution
these are two simply solution you can get from the last system
eager junco
i dont understand
fallow wren
do you agree with me that the orange vectors are solutions for the last system ?
eager junco
im not sure how you got [ 1 1 -1]
fallow wren
i just solve visually the equation -y+z=0
these equation are pretty simple
to get the last two numbers of (1 1 -1)
how ever you can view that these are in fact solution
lol
i m just tired
i mean (1 1 1)
fallow wren
@hybrid heath can you help this kind guy?
hybrid heath
no time, sadly
eager junco
and i have no energy
wait is part c at least right?
fallow wren
yes is correct but you have give no reason for thso
and they ask you a basis (not tthe span of that basis)
so because dim(range)<=2
just give two vector lineary independent vector in the range 🙂
now i must go
eager junco
i thought you only give vectors when its not onto
fallow wren
they ask you a basis ... stop... R^2 is not a basis
eager junco
oh ok but 2 of the original matrix vectors not the RREF ones
eager junco
they ask you a basis ... stop... R^2 is not a basis
also i figured out the answer
.close
fluid isle
can anyone tell me how the equation became this? i think my prof did the work in his head
final saddleBOT
can anyone tell me how the equation became this? i think my prof did the work in...
worldly vale
what precisely
fluid isle
how did the equation = (integral)x^1/3dx + (integral)x^4/3dx
let me show the whole thing
worldly vale
what is $x^{\frac13}\cdot x$
soft zealotBOT
ΣΑC
worldly vale
yea
jagged abyss
I’m just totally confused here
final saddleBOT
I’m just totally confused here
mortal wadi
so you want to find out the factored form
jagged abyss
Ye
jagged abyss
The standard form?
jagged abyss
What’d I use to fill in the s, r and a constants?
mortal wadi
okay so you have
y = a(x-r)(x-s)
jagged abyss
Ye
mortal wadi
what does it mean for the zeros to be x = -5 and x = 3?
jagged abyss
That the value of x and is equal to them?
mortal wadi
not quite
the zeros of a quadratic are when y is equal to 0
so when x is -5
y = 0
and when x = 3
y = 0
jagged abyss
O so they’re the x intercepts
jagged abyss
And 2,56 would be the vertex?
mortal wadi
that part is for a bit ahead
but notice in the factored form
we have y = a(x-r)(x-s)
when x-r = 0
the entirity of the right hand side is equal to 0 because they are multiplying by 0
so we get y=0
yes?
jagged abyss
Ye
mortal wadi
not quite because that wouldn't help us
if we did 0 = a(x-r)(x-s)
it would be like us trying to find the values of x
that are zeros
which we already know are -5 and 3
mortal wadi
kind of
so the factored form contains the information of the zeros
in these x-rand x-sparts
and we already know the zeros
so we can conclude what the r and s values are
which ends up being
what you just said
mortal wadi
It’d be like -5-r=0
-5 -r = 0
gives you the value of r
and similarly for s
but with the 3
jagged abyss
So the r is 5?
mortal wadi
yes
so now filling out the factored form with the updated information we have
y = a(x+5)(x-3)
yes?
jagged abyss
So far I understand it being y=a(-5+5)(3-3)
Or that ye
Forgot about the point of (2,56)
mortal wadi
now we use the (2,56) information
jagged abyss
The x values would be 2 and y=56
mortal wadi
exactly
jagged abyss
What about the a
jagged abyss
A=-8?
mortal wadi
by replacing x and y with 2 and 56 we are finding out the a value that allows for the point (2, 56) to be on the quadratic
jagged abyss
Do I have to minus the 56 to the other side?
mortal wadi
no, we just don't put any value for x and y
y = -8(x+5)(x-3)
is just the equation in factored form
mortal wadi
no worries
jagged abyss
Have a good day
mortal wadi
you too 🙂
jagged abyss
.close
split quiver
I need help with the ambiguous case
I solved it, and one of the angles were 153...which seems wrong
then I move the line and...153 + 153 isnt less than 180...
final saddleBOT
I need help with the ambiguous case
I solved it, and one of the angles were 153...
split quiver
(sorry cam sucks like garbage)
Basically angle a was 153
I did sine law
sin C / 24 = sin 16 / 17
17 sin 16 / 24 = sin C
C = about 11
so 11 angle and 16 angle...take that away from 180 is 153...
then i move the arm side ways...which makes the isoceles triangle that i remove from the triangle, which is 153 and 153...
unreal anvil
final saddleBOT
final saddleBOT
Available help channel!
open heath
final saddleBOT
open heath
I don't get why the force of 33.23 results in a negative moment
They're both positive forces
My teacher said to follow the line of action but I don't get what that means
that's the question
final saddleBOT
@open heath Has your question been resolved?
bold finch
Hey so I have this problem where I have to figure out the possible amount of time this people can spend in a room, and ill have the question below
final saddleBOT
Hey so I have this problem where I have to figure out the possible amount of tim...
bold finch
I found out that after the fee, they can spend up to 5 hours exactly to not go past their 63.50 budget, but would I say less than or equal to? or just less than
tired walrus
well
vestal sentinel
well can they rent it for 5 hours exactly?
tired walrus
^
vestal sentinel
and still be within budget?
vestal sentinel
...hm, yeah that's true. weird wording
because in mathematical terms...that is they want to spend $63.49 or less
but in normal conversation terms, that's $63.50 or less
bold finch
I don't get it
so did I choose the correct symbol or should I switch it
in your opinion
vestal sentinel
I think because it happens to be exact, then they mean $63.50 or less
so then it would be t <= 5
it would be very very strange for them to write this question to have exactly $63.50 but actually they want you to assume the film company has a budget of $63.49
lol
tired walrus
it says the film club wants to spend LESS THAN 63.50
they don't want to spend all of their 63.50
bold finch
so I should remove the equal sign then?
vestal sentinel
it says the film club wants to spend LESS THAN 63.50
which, in english, for monetary budget, is not a strict inequality
if someone says they have a budget of $10 and you offer them a solution for $10.00 they would not say "oh sorry I can only spend $9.99"
this question is written very badly.
tired walrus
which, in english, for monetary budget, is not a strict inequality
????
this is news to me
bold finch
i'm still confused so what are you guys saying
livid ice
If it just says "less than" you assume it's stated correctly as a strict inequality
vestal sentinel
"I want to spend less than $20" is "where x <= 20" in english even if "less than 20" directly means "x < 20"
two people saying that it's a strict inequality and just me on the <= train - I'd assume it's therefore meant to be a strict inequality
I hate this question though
livid ice
"I want to spend less than $20" is "where x <= 20" in english even if "less than...
The mistake is relying on colloquial understanding of English language rather than just explicitly following what is stated
You have to assume the problem is written accurately otherwise these types of ambiguities will always occur
worldly vale
I agree with you in informal English we'll say less than to mean "less than or around x" but in a maths question you would expect the language to not depend on colloquialisms
vestal sentinel
I would expect a maths question to not be written such that these misunderstandings can happen
like give the film club $64 or something.
livid ice
Let's just all donate 5 dollars and forget about the question
bold finch
I have another question I think it's simple enough but maybe not
basically just fine the area, did I calculate the sides correctly of these two rectangles to get the area of the two?
bold finch
can someone explain to me how to solve this question?
final saddleBOT
can someone explain to me how to solve this question?
bold finch
it seems just all bunched up
tired walrus
do you know exponent laws
bold finch
so when multiplying exponents you just multiply them? for exmaple v^5 times v^2 would be v^10?
tired walrus
no
would you like to have it explained to you why v^5 * v^2 = v^10 is nonsense?
or would you like to think about it yourself first
bold finch
oh I think I was confusing it with this:
if the v^5 was in parenthesis then if you multiply it by 2 then I think it would turn to v^10
tranquil pine
no
tired walrus
$(v^5)^2$ would simplify to $v^{10}$ yes.
soft zealotBOT
Ann
bold finch
yea so I had it confused so that means you just add it I think?
so v^2 times v^5 would be v^7?
civic mulch
bold finch
ok so then let me try to solve it and you can tell me if I just missed or maybe got some of it right
tired walrus
https://tenor.com/gw8dTFaMkP8.gif
!redir
final saddleBOT
https://tenor.com/gw8dTFaMkP8.gif
This channel is only for on-topic discussion. Please take casual conversation to #discussion or #chill.
tired walrus
ok so then let me try to solve it and you can tell me if I just missed or maybe ...
ok, show your solution here once you have it
ping me i guess
tired walrus
how did $10y^5 + 3v^7$ happen?
soft zealotBOT
Ann
tired walrus
$10 says it's a misapplication of the "you add it" phrasing.
bold finch
oh do you not add the 1
wait
if it doesnt have an exponent what do you even do then?
tired walrus
imo you should not try to think in terms of "you do this" or "you do that"
bold finch
for example 2y times 5y^4
tired walrus
like here you have a product of several things: $$3 \cdot v^2 \cdot 2 \cdot y \cdot 5 \cdot y^4 \cdot v^5$$
soft zealotBOT
Ann
tired walrus
do you understand this is what you are starting with?
ONLY say yes or no, don't attempt to do anything else with it until i tell you to.
@bold finch
tired walrus
do you understand that 3v^2 means the same thing as 3 * v^2?
Y/N
(again dont try to jump ahead)
tired walrus
font issue?
bold finch
yea why not keep it together with the variable
tired walrus
well heres what im gonna do next:
in this product you have some raw numbers, some y's and some v's.
because multiplication is associative and commutative, you can reshuffle them as follows to organize them by ``type'': $$(3 \cdot 2 \cdot 5) \cdot (v^2 \cdot v^5) \cdot (y \cdot y^4)$$
soft zealotBOT
Ann
bold finch
ok so you separated all like terms into parenthesis
tired walrus
it's not quite "like terms" but the idea is somewhat similar yes
the parentheses here don't serve any purpose beyond visual organization
bold finch
ok so now that you've organized it whats the next step?
bold finch
30
tired walrus
right
bold finch
?
tired walrus
what does v^2 * v^5 simplify into?
bold finch
i'm not sure
tired walrus
then let's think about the meaning of exponents
when you first learned exponentiation, how was it introduced to you?
bold finch
It's blurry
but what mostly confuses me is there being no exponent at all
is it a one or perhaps just nothing
idk
tired walrus
well no, let's go over it again.
so that you don't just learn a special exception for how to treat an exponent that's not there,
but understand WHY it's treated that way
it is most likely you have been taught that exponentiation is repeated multiplication (in the case that the exponent is a positive integer, which for us they are)
so x^8 is the product of eight copies of x
a^3 is the product of three copies of a
a^3 = a * a * a
and so on
does this ring any bells?
bold finch
yes now that you mention I know all of this, I just don't know what to do in a situation where it's missing an exponent to begin with
tired walrus
well now let's think
tired walrus
so x^8 is the product of eight copies of x
tell me, with the same phrasing as this,
what is y^4?
tired walrus
right.
the product of four copies of y.
what happens when we multiply that by another y?
bold finch
Y^5
bold finch
so whats next?
tired walrus
bring it all together
3 * 2 * 5 simplified into 30
v^2 * v^5 simplified into v^7
y * y^4 simplified into y^5
bold finch
so basically you should treat "y" as "y^1" similarly to how you should treat "x" as "1x" ?
also I would have never thought to separate everything
tired walrus
i don't like such "should"-statements.
bold finch
what?
tired walrus
"you should treat this as that and this as that"
i don't like such statements
lone y can be thought of as y^1, if viewing it like that helps you.
bold finch
ok so would this be the correctly final answer?
tired walrus
yes, but i have an issue with the way you handwrite the digit seven.
tired walrus
order what?
bold finch
my solution
tired walrus
do you mean like 30 v^7 y^5 vs. 30 y^5 v^7?
bold finch
yes
tired walrus
no, it does not matter. unless you're the kind of person who hates the commutative law of multiplication, which i don't think you are.
raw numbers usually go at the front though.
tired walrus
sure
bold finch
I'll actually write it down it'll be easier to see that way
what if it asked this
and asked to simplify
tired walrus
there would be nothing to do, this is already as simplified as it gets.
this is a sum of four unlike terms,
and there doesn't look to be any kind of clever factorization that could be done
bold finch
and for this one it also wouldn't matter what order it was in?
for some reason I remember having to order something similar like this from highest exponent to lowest
tired walrus
as in there was an instruction to order from highest to lowest exponent?
bold finch
I'm not sure I think if I typed in the answer any other way it would count it wrong
but I doubt they would ask me this anyways.
tired walrus
ok so it is an imagined thing
so like, ok
polynomials in general are usually presented with their terms organized from highest to lowest exponent.
however it's just that, organization
for example 7x + x^2 + 11 and x^2 + 7x + 11 aren't different polynomials, and one is not a priori more "correct" than the other.
bold finch
ok I have another question if you don't mind.
tired walrus
sure
bold finch
This time I have to evaluate a problem Ill send it
so when you first look at this what's the first thing you think of doing? for me it was taking care of the (-2)^3
but I'm not sure if thats the right step
tired walrus
it's a fine step
what jumps out at me personally is that and also the 5*3
independently of each other
doesn't really matter which of those operations you do first
tired walrus
yeah that's fine, keep going
bold finch
should I distribute the "-" sign outside the parenthesis to the -8 and -4?
tired walrus
definitely not
especially because that ^2 is in the way
you should calculate inside the parentheses
bold finch
wait can you clarify more on how the exponent gets in the way
tired walrus
$-(a)^2 \neq (-a)^2$
soft zealotBOT
Ann
bold finch
so whenever a parenthesis has any type of exponent outside of it, you cant distribute?
unless it's a number with an exponent?
tired walrus
distribution is specifically for stuff that looks like a * (b + c)
i.e. something multiplied by a sum (or by a difference)
like, that is the content of the distributive law
bold finch
ok. I'll try to proceed with the problem can you let me know if I get it right
tired walrus
sure
tired walrus
yeah seems fine
bold finch
ann I have another question if you don't mind
this is the problem:
I'll try to solve it
is this a valid solution:
is this valid? <@&286206848099549185>
fleet pewter
Yes
bold finch
wow you can go a long way when you know the exponent rules
thanks for confirming
.close
pearl roost
final saddleBOT
pearl roost
i need helping proving that second statement
but i don't really see a way to build up the induction
final saddleBOT
@pearl roost Has your question been resolved?
final saddleBOT
@pearl roost Has your question been resolved?
final saddleBOT
@pearl roost Has your question been resolved?
vital crag
!nosols
final saddleBOT
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.
final saddleBOT
@pearl roost Has your question been resolved?
opaque scroll
final saddleBOT
opaque scroll
why is F_b not $R_2^3-R_1^3?$
soft zealotBOT
lily9369
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
formal trail
bouyant force only depends on the volume of water displaced. that doesn't depend on whether the object is hollow or not
(if this wasn't the case then most boats wouldn't be able to float at all!)
acoustic birch
do you know the boyant equation?
final saddleBOT
do you know the boyant equation?
acoustic birch
opaque scroll
dont know it by name, but im learning the entire topic rn
final saddleBOT
@acoustic birch Has your question been resolved?
celest valley
final saddleBOT
celest valley
how to solve this one?
final saddleBOT
@celest valley Has your question been resolved?
wraith summit
final saddleBOT
wraith summit
what is the result of this sum if you know that the limit of f(n) is 5
I said that it was f(12) - 5 , cause this is a mengoli series
and p = 1
so i got f(4x3) - 1 x lim f(n) = f(12) - 5
But we cant find out the value of f(12) right ?
final saddleBOT
@wraith summit Has your question been resolved?
hybrid heath
what is the result of this sum if you know that the limit of f(n) is 5
Limit of the sum of f(n), or just the sequence f(n) itself?
final saddleBOT
final saddleBOT
Available help channel!
plush mason
it makes not sense
final saddleBOT
it makes not sense
tranquil pine
which part you don’t understand?
plush mason
which part you don’t understand?
how is that true ??
solar glade
Which part?
plush mason
Which part?
the second part
solar glade
What is bigger. 2sqrt(n) or sqrt(n) + sqrt(n+1)?
tranquil pine
$\sqrt{n+1}-\sqrt{n}=\frac{(\sqrt{n+1})^{2}-(\sqrt{n})^{2}}{\sqrt{n+1}+\sqrt{n}}$
soft zealotBOT
Maria
tranquil pine
is the issue with this?
tranquil pine
what about the 2
yes, also divided both sides by 2
final saddleBOT
@plush mason Has your question been resolved?
final saddleBOT
final saddleBOT
Available help channel!
dense garnet
Find the Fourier series of $h(t)=e^{3it}f(t-4)$, when $f$ has period $2\pi$ and satisfies $f(t)=1$ for $|t|<2$, $f(t)=0$ for $2<|t|<\pi$.
final saddleBOT
Find the Fourier series of $h(t)=e^{3it}f(t-4)$, when $f$ has period $2\pi$ and ...
dense garnet
From this, the coefficients of $h(t)$ should be $(e^{-i(n-3)4}c_{n-3})$, right? so I need to find $(c_n)$.
soft zealotBOT
Philip
dense garnet
.close
final saddleBOT
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Available help channel!
fallow wren
let f a real increasing function s.t. f(f(x))=x, what is f?
final saddleBOT
let f a real increasing function s.t. f(f(x))=x, what is f?
fallow wren
i want to prove that f(x)=x is the only solution
there is also f(x)=-x but it is not incrising
@desert mantle
fresh relic
Pick arbitrary x, and set y = f(x). Then if x < y, is f(x) < f(y)?
fallow wren
mhh..
interesting
f(x)<f(y)=x
but now just apply f to both sides
we get
x<f(x)
fresh relic
you've already gotten a contradiction
fresh relic
the y < x case is similar
fallow wren
.close
final saddleBOT
final saddleBOT
Available help channel!
tranquil pine
final saddleBOT
tranquil pine
Why is it when I do the equation, I get for (a) -125
But in thousands it would be -125k?
final saddleBOT
@tranquil pine Has your question been resolved?
shadow tartan
But in thousands it would be -125k?
Yeah
shadow tartan
That is the highest point on the graph
final saddleBOT
final saddleBOT
Available help channel!
strange crag
Hello,Could you help with that?
final saddleBOT
Hello,Could you help with that?
strange crag
Chat gpt responds strangely and photomath doesn't solve it
tired walrus
!nogpt
final saddleBOT
Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).
strange crag
uncertainty?
tired walrus
wdym by "uncertainty"
tawny halo
uncertainty?
Undefined?
tawny halo
She can speak Russian fr
strange crag
She can speak Russian fr
wow ,kk
tired walrus
incorrect
tired walrus
She can speak Russian fr
ftr*
strange crag
1/x⁵ what is it
0
tired walrus
for the record
tawny halo
for the record
i meant for real because I didn't know other words to say lol
tired walrus
now you do
anyway the trig fraction doesn't have a limit
(ie its limit doesn't exist)
brb
tawny halo
anyway the trig fraction doesn't have a limit
Damn, i was trying to transform
Somehow
strange crag
now you do
In general I divided by the higher degree this is x and sin are annihilated and as a result it turns out 4x/1x=4+0=4.
but I'm not sure it's right.
tawny halo
No way
tired walrus
......
strange crag
)
tawny halo
You can't touch this x in sinx
tired walrus
this is x and sin are annihilated
this does not make any sense
tawny halo
uncertainty?
.
strange crag
Я был не уверен в своих ответах
tawny halo
undefined-неопределен
D.N.E Does not exist - не существует
strange crag
In general I divided by the higher degree this is x and sin are annihilated an...
а это решение я делал на основе предыдущего примера :Lim(4+x-sinx/1+2x+sinx) +x**-7
там я поделил дробь на икс и ответ совпал с photomath
tawny halo
Там х к чему стремился
strange crag
infinity
strange crag
tawny halo
мне кажется, это тож не существует
tawny halo
Ah
Makes sense
If you take out x
You'll get sinx/x
Есть же вот эти
Замечательные пределы
Без них бы не решалось
А так да решаемо
strange crag
Замечательные пределы
они работают когда x>0,нет?
tawny halo
Да они уникальные
Короче, когда х->∞, то sinx/x=0
А если стремится к 0, то sinx/x=1
tawny halo
Hello,Could you help with that?
Значит мы это, тоже сможем решить
Вытащив x
Попробуй
Ой
Там +
Внизу
strange crag
(4/x)/(1/x)=4
tawny halo
strange crag
In general I divided by the higher degree this is x and sin are annihilated an...
получается правильно?)
tawny halo
(4/x)/(1/x)=4
А
Погоди
Хотя да
4
x сократить
Будет 4 indeed
Так что ответ 4?
tawny halo
In general I divided by the higher degree this is x and sin are annihilated an...
Я вообще не уверен, но в принципе это пиздец как правильно
strange crag
Такое же мнение было до того как нашел этот сервер)
tawny halo
Ну короче да
strange crag
Okay, thank you very much for the explanation and help.
tawny halo
Да мы ниче не сделали
tawny halo
Короче, когда х->∞, то sinx/x=0
Ты вот это знал же
Вот это просто уже доказано
Поэтому нужно было просто тут использовать
strange crag
You've explained and spent your time + you're using a translator which is a huge favour.
So thanks anyway.
sacred lynx
with some money people are trying to buy some tons of sugar but then the sugars price went up by 25% and with the same amount of money they bought 1 ton less sugar how many tons did they buy
final saddleBOT
with some money people are trying to buy some tons of sugar but then the sugars...
crystal pine
hi
tawny halo
this should be correct right?
It is correct vut not that correct
crystal pine
it should be valid for multiplication too
tawny halo
Answer is correct ig
tawny halo
it should be valid for multiplication too
damn, I'm messing with integrals and derivatives ig
crystal pine
hm
deft ravine
Is 0×undefined equals zero :/
You can't split due to the afore mentioned reasons. But you can lower and upperbound cos as -1 <= cos <= 1 and use sandwich theorem
green arch
separe $\frac{4}{x^2}\cdot cos( \frac{\pi x}{2} )=\frac{4}{x} \cdot \frac{cos( \frac{\pi x}{2} )}{x}$ and recall that $\lim_{x\rightarrow \infty} \frac{cosx}{x}=0$
crystal pine
You can't split due to the afore mentioned reasons. But you can lower and upperb...
der deutsche. subi. Nochmal auf deutsch haha xD
soft zealotBOT
José
deft ravine
der deutsche. subi. Nochmal auf deutsch haha xD
Wieso der deutsche?
crystal pine
Wieso der deutsche?
also gemeint mit
dass du deutsch sprechen kannst
deutschsprachig
so
deft ravine
Ok. Wie schon gesagt, kannst du das nicht splitten, weil der eine GW nicht existiert.
crystal pine
hmh
deft ravine
Du kannst aber benutzen, dass -1 <= cos u <= 1 für alle u gilt und dann das Sandwich theorem benutzen
crystal pine
höre ich gerade zum ersten mal ig
tbh ich bin halt noch in der "10" und kenne mich nicht breitgiebig damit aus
wills aber lernen 
deft ravine
Der sagt quasi falls f <= g <= h für Funktionen oder wahlweise auch Folgen gilt und f,h konvergieren gehen eine konstante c. Dann muss auch g gegen c konvergieren
green arch
it should be valid for multiplication too
It is only valid if both limits exist. In your case, the cosine limit you have there does not exist, so you could not apply it
deft ravine
Und f,h sind dann quasi die Brotscheiben bei unserem Sandwich und g ist das dazwischen
crystal pine
It is only valid if both limits exist. In your case, the cosine limit you have t...
okey
crystal pine
Und f,h sind dann quasi die Brotscheiben bei unserem Sandwich und g ist das dazw...
Verstehe. Ich werde mir das nochmal im nem yt video genauer ansehen. Danke.
deft ravine
Verstehe. Ich werde mir das nochmal im nem yt video genauer ansehen. Danke.
Bitte. Ist eigentlich recht intuitiv
crystal pine
passt
deft ravine
passt <:sadcatthumbsup:932362879624163338>
Kann ich den Kanal schließen? Und darf ich fragen, ob 01 dein Geburtsjahr ist?
crystal pine
Bin 07 wenn du das meinst was ich denke xd
ja sollte es sein
"geburtsjahr"
2007
crystal pine
Kann ich den Kanal schließen? Und darf ich fragen, ob 01 dein Geburtsjahr ist?
why tho
deft ravine
Nur so. Habe nicht nachgedacht, dass du in der 10 logischerweise ein bisschen jünger bist. Dachte wir sind annähernd gleich alt
crystal pine
Nur so. Habe nicht nachgedacht, dass du in der 10 logischerweise ein bisschen jü...
Du bist also nicht am studieren? Abi also?
Ne, "Mathe Student" in der Bio
deft ravine
Du bist also nicht am studieren? Abi also?
Nein, nur ein wenig verpeilt
sacred lynx
In a isosceles trapezoid the diagnal splits the sharp corner into two equal parts the big side is 18 and the perimeter is 48 need to find the trapezoids middle line
final saddleBOT
In a isosceles trapezoid the diagnal splits the sharp corner into two equal part...
sacred lynx
idk how to say it in enlish
sacred lynx
like 90 degrees is a right corner and less then that
lucid parrot
oh riiight
okay
so its an angle less then 90 degrees
and by big side
is it like the side of the trapezoid which is at the bottom
lucid parrot
In a isosceles trapezoid the diagnal splits the sharp corner into two equal part...
on the picture
lunar forum
final saddleBOT
lunar forum
am i missing something with this integral
i dont know where the 1- comes from
i get its an improper integral
tulip coyote
Integrating and evaluating e^{-2st} between the given limits
tulip coyote
Does happen 
final saddleBOT
final saddleBOT
Available help channel!
sonic crescent
how do you do these, i forgot
final saddleBOT
how do you do these, i forgot
sonic crescent
i got 71.08
dense coral
show what you did
sonic crescent
show what you did
used SOH CAH TOA
tan theta = opposite over adjacent
tan theta = 5 / 7
atan(5/7) = theta
theta = 0.620249486 rad
0.620249486 rad = 71.08 degrees
dense coral
the radian to degree conversion is not correct
sonic crescent
for the last step i did
(0.620249486 / pi) * 360
tired walrus
180 not 360
sonic crescent
i thought that was the formula woops
sonic crescent
oo okie, i see now!!
i have not studied this stuff in a while and i am going off of memory
thank you both
.,close
.close
worldly bough
is this sheet correct?
Does 0 to the power of Complex infinity equal 0 or is it indeterminate ?
final saddleBOT
is this sheet correct?
Does 0 to the power of Complex infinity equal 0 or is it ...
worldly bough
the sheet has been taken from https://functions.wolfram.com/Constants/ComplexInfinity/introductions/Symbols/ShowAll.html
Wolfram's forum or something
rapid sky
It probably depends on the limit you use to do it.
final saddleBOT
@worldly bough Has your question been resolved?
final saddleBOT
@worldly bough Has your question been resolved?
worldly bough
<@&286206848099549185>
final saddleBOT
@worldly bough Has your question been resolved?
final saddleBOT
@worldly bough Has your question been resolved?
shell plover
Friend sent me this problem. Only doing part A and B. Idk what to do because it is asking for the applied force one part A but the answer is the friction and idk how they got 103N ever. They never mention any acceleration either
final saddleBOT
Friend sent me this problem. Only doing part A and B. Idk what to do because it ...
shell plover
Pls ping if yk how to do it
final saddleBOT
@shell plover Has your question been resolved?
brisk charm
Friend sent me this problem. Only doing part A and B. Idk what to do because it ...
Did you draw a free body diagram yet
final saddleBOT
@shell plover Has your question been resolved?
brisk charm
Can you show your work
final saddleBOT
@shell plover Has your question been resolved?
brazen breach
don't occupy multiple channels
oh wait
you closed all of them
The server must be lagging
tired walrus
|A+B| is not equal to |A|+|B| so that just does not work at all
what do you mean?
determinant is product of eigenvalues
so find the eigenvalues of A^100
then those of A^100 + I
yes
cosmic warren
white shard
This is somewhat correct. The values |1 + lambda^100| that you computed don't need the absolute value.
Can you see why?
Why do you compute these values and than multiply them?
No, it was a leading question, but I'll elaborate:
The eigenvalues of I + A^{100} are the values 1 + lambda^{100} for lambda an eigenvalue of A, without any absolute value.
The notation |X| for the determinant of a matrix X might be confusing you in thinking there should be absolute value somewhere.
Yes, so the eigenvalues of I + A^{100} are 1 + 1^{100}, 1 + (-1)^{100}, 1 + 0^{100}, which are 2,2,1 as you wrote, and the determinant of I+A^{100} is indeed their product which is 4. You just don't need the absolute values.
final saddleBOT
final saddleBOT
Available help channel!
eternal zinc
final saddleBOT
eternal zinc
,rotate
soft zealotBOT
eternal zinc
Very confused
cunning glen
Use trig identities to simplify, something like sin(x) = sin(pi-x), similar ones like this
rapid sky
Very confused
!status
final saddleBOT
Very confused
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
Number 1
lyric summit
eternal zinc
Well we can use that
rapid sky
Well, the first step is to notice that the tangent argument is over 2 pi.
So, subtract 2 pi from it until you get something under 2 pi.
The other ones are fine.
eternal zinc
Hm
rapid sky
So, what is 5 pi/2 if you put it between 0 and 2 pi?
eternal zinc
2.5
eternal zinc
Ah
rapid sky
Well, I guess you can do it that way.
eternal zinc
5pi/2 - 4pi/2
eternal zinc
Yes
eternal zinc
Tan = sin/cos?
rapid sky
Yes.
rapid sky
I'm not sure what you mean.
rapid sky
What do you mean with like terms?
eternal zinc
Then we divide it?
soft zealotBOT
rapid sky
OK, what's sin(pi/2)?
eternal zinc
Sin(90)
rapid sky
Which is what?
eternal zinc
1
rapid sky
OK, what's cos(pi/2)?
eternal zinc
0
eternal zinc
Undefined
rapid sky
Right, so that's the answer for the whole problem.
eternal zinc
So thats why ive been racking my brain on a sjngle problem for the past hour
My 1st answer was 8 then it turned into decimals
.close
tranquil pine
final saddleBOT
tranquil pine
How do I solve
rich tide
are you aware of the legendary pythagoras theorem?
tranquil pine
yes
rich tide
can you apply it on this triangle?
tranquil pine
Yea
tired walrus
then do it
rich tide
may it rest in peace
tranquil pine
😐
rich tide
a^2+b^2=c
6^2+8^2=c^2
yeah now simplify it further
rich tide
can you write 6^2 as a two digit number?
rich tide
rich tide
tranquil pine
What is is not right
rich tide
can you EXACTLY state the pythagoras theorem?
tranquil pine
Bro idk what ur saying ur talking in emojis
I told u I didn’t know how to simplify it further
rich tide
Like what I asked and what you responded
I asked you to write out the pythagoras theorem and STATE IT
final saddleBOT
@tranquil pine Has your question been resolved?
final saddleBOT
final saddleBOT
Available help channel!
tranquil pine
final saddleBOT
tiny gorge
well two of the faces should be very easy as they are rectangles