@alpine sable Has your question been resolved?
#help-0
lone heartBOT
marsh rapids
It says M is the midpoint of BC not AC. Wrong diagram
lone heartBOT
lone heartBOT
Available help channel!
dry rapids
lone heartBOT
dry rapids
What does this mean?
ionic trail
K[x] is sometimes denoted as the polynomial ring with coefficients from K.
But it's impossible to tell without any context.
vale wigeon
@dry rapids show the entire problem
dry rapids
I just want to know what does the circle mean between w and u
marsh rapids
direct sum most likely. Where U and W are vector spaces
urban pine
lone heartBOT
@dry rapids Has your question been resolved?
lone heartBOT
lone heartBOT
Available help channel!
desert tusk
I am puzzled on why n is not 8.
lone heartBOT
I am puzzled on why n is not 8.
desert tusk
It’s asking for after 7 years
Total area after 7 years
So the first year sum up to the eighth year, right?
tulip oar
I am puzzled on why n is not 8.
Which standard is this for?
desert tusk
Which standard is this for?
Sum of n terms
desert tusk
Which class r u in?
Why is that necessary?
desert tusk
I generally want to know
You’re not helping me
tulip oar
Ik
tulip oar
Coz I am in just class 9
desert tusk
It’s asking for **after 7 years**
My speculation:
fleet quail
It’s asking what it’ll be after 7 years total
desert tusk
It’s asking what it’ll be after 7 years total
So it should be the first year until the eighth year
fleet quail
Always assume that the number given is the number it wants you to use
desert tusk
I’m not going to follow that rule
fleet quail
So if it says 7 years, assume it’s 7 not 8
alpine sable
desert tusk
I don’t understand
desert tusk
So if it says 7 years, assume it’s 7 not 8
I don’t understand
The first year
Sum up to eighth year
fleet quail
Is part of those 7 years
desert tusk
It’s 7 years after the first year
fleet quail
It says that solar panel installation increases 15% from the previous year
I think that might be wear you’re getting hung up on cause it’s saying previous
desert tusk
I think that might be wear you’re getting hung up on cause it’s saying previous
Nope
It said after 7 years
Why isn’t it the first year sum up to the eighth year
fleet quail
Because the question is asking for total area after 7 years
alpine sable
N is 7 because you start from 0th year
desert tusk
N is 7 because you start from 0th year
No?
fleet quail
Exactly
alpine sable
Not from first year
fleet quail
It’s because it’s a word problem they have to word it that way for context
desert tusk
So the first term of this GP should be 10000
alpine sable
The question literally stated first year
Dude it just gave you a start term to start with that's it
desert tusk
What class r you??
I don’t need to tell you that
All I can tell you know is I know how GP works
and all of its important formulas
alpine sable
So the first term of this GP should be 10000
Without that initial data point u can't go ahead and question doesn't intend to Calc 7 years from 1st year
wind cloak
and all of its important formulas
That puts you around Grade 11
Atleast it would here
desert tusk
Without that initial data point u can't go ahead and question doesn't intend to ...
Dude
The question is bad at wording
It’s asking for the total area AFTER 7 years
alpine sable
Nope
desert tusk
The years within 7years?
alpine sable
If at all in math if a question asks you to find out from nth to math term it would say so like calculate total area after 7 years from the 1st year ok???
wind cloak
I am puzzled on why n is not 8.
Because they asked for 7 years 💀 not 8
desert tusk
Is that what you all trying to say?
wind cloak
That is why n = 7 and not 8
alpine sable
So n is 7
desert tusk
Because they asked for 7 years 💀 not 8
I put eight because I included the eight year
wind cloak
they asked for 7 though
desert tusk
Because it said after 7 years, and it’s talking about the eighth year because first year plus 7 is eighth year
alpine sable
Because it said after 7 years, and it’s talking about the eighth year because fi...
😫
wind cloak
after 7 years is the end of the 7th year
alpine sable
Dude
wind cloak
look we told you where you're going wrong
you can rant about this as much as you like
desert tusk
Listen here
wind cloak
you're not gonna get the right answer
desert tusk
I don’t understand
wind cloak
after 7 years is the end of the 7th year
^^
desert tusk
and you guys are forcing to tel me it’s 7
alpine sable
I don’t understand
Just go ask ur prof.
wind cloak
because it is 7 lol
desert tusk
when I’m still not understanding this
fleet quail
If you need extra help with this look up the nth term and watch some videos explaining it
desert tusk
therefore n = 7
Context matters
If it said total area from first year to seventh year
then I would’ve understood
alpine sable
Dude lemme day this
wind cloak
so where does an 8th year come up here
desert tusk
but it said after 7 years, so shouldn’t it asking it to eight year?
desert tusk
It’s either my English sucks or this question is stupid
desert tusk
1
alpine sable
Now I am taking it back
desert tusk
I have 0
alpine sable
If I gave you 10 such dollars again and ask??
desert tusk
I have 10
alpine sable
That's it
alpine sable
If I say company installs x sqm
fleet quail
That’s how the nth term works
alpine sable
Per year
alpine sable
Calculate area after 7 years not area after 7 years from 1st year but area after 7 years from 0th year moment
desert tusk
So if the initial is 10000, and it asks for after 1 year
wind cloak
Year 0 to 1 is 1 year
Year 1 to 2 is 2 years
Year 2 to 3 is 3 years
[...]
Year 6 to 7 is 7 years 💀
your nth term is 7
desert tusk
Year 0 to 1 is 1 year
Year 1 to 2 is 2 years
Year 2 to 3 is 3 years
[...]
Year 6...
Year 0 to 1 is after 1 year?
alpine sable
👍
wind cloak
2000 to 2001 was the first year of this century right?
desert tusk
Yes
alpine sable
Dude
wind cloak
same logic
the nth term is
7
2001 was not the first year of this century
2000 was
alpine sable
Yes
Just just... open a book and learn about counting terms and sentence phrases in math
wind cloak
I'm gonna dip from this now its getting ridiculus
desert tusk
you know what
I’ll just pretend I know I already
even though I still don’t understand this concept
.close
lone heartBOT
lone heartBOT
Available help channel!
alpine sable
Volume = cross sectional area times height right??
lone heartBOT
Volume = cross sectional area times height right??
alpine sable
When I asked my prof he said it's like stack of 2d figures
But how stacks of 2d figures are possible ??
Like they don't have a depth right?
How can they pile up??
worn fox
Just don't take what he said literally
alpine sable
Can you tell me why volume is cross sectional area times height
?? Please
I read a few sheets of volume derivation proofs by archimedes bot no use
wind cloak
Can you tell me why volume is cross sectional area times height
Imagine a sheet of paper
Just keep stacking paper like that
Find the area of one sheet (the cross-section)
And then multiply it with the height of the stack
alpine sable
but doesn't the paper have thickness a 3rd dimension already
alpine sable
Can you tell me why volume is cross sectional area times height
you'd need to define volume in some way. for example if you define it to be how many water molecules you have in a water bottle then
wind cloak
but doesn't the paper have thickness a 3rd dimension already
yes
but its as good as a plane to us
Imagine that thickness approaching to zero
worn fox
It will end up being a limiting process, you take the limit as the thickness of your "sheets" tends to zero and you'll end up w/ the formula
wind cloak
(entering calculus realm here)
alpine sable
So first I need to find volume of paper itself right??
wind cloak
wat
alpine sable
Just can someone please write a procedure on paper and send it
alpine sable
you'd need to define volume in some way. for example if you define it to be how ...
i mean using no of water molecules in your 3d shape which has a constant cross sectional shape then, we will act like water molecules are cubes because spheres are harder to deal with, then if you already accept the formula for a cube, that V = lbh, then you can split the cross sectional area into a mesh of squares
like so
wind cloak
Just can someone please write a procedure on paper and send it
Do you know about calculus
alpine sable
but for any area not just a circle: https://www.researchgate.net/profile/Kazi-Abu-Rousan/publication/333606009/figure/fig3/AS:766049372893184@1559651811338/Area-of-a-circle-and-its-Grid-approximation.ppm
alpine sable
https://res.cloudinary.com/practicaldev/image/fetch/s--SOqsICze--/c_limit%2Cf_au...
No no I want to know why it's lbh
like this (like you would in minecraft) then the no of cubes will just be total area / (area of a single cube) since there no of cubes * area of a single cube = the total,
wind cloak
Yes I took single variable course
Then you know how to derive the formula for the area of a circle?
alpine sable
No no I want to know why it's lbh
you need some way to define volume
alpine sable
Then you know how to derive the formula for the area of a circle?
Area yes with an elemental ring of width dx say
in real life there's no real volume in the sense that if you get close enough the atomic borders are fuzzy
alpine sable
Area yes with an elemental ring of width dx say
it's like how you define a square to have volume a^2
wind cloak
Area yes with an elemental ring of width dx say
You can do the exact same thing now
You added small circumferences to get a circle
alpine sable
Jet printer so are you saying I like an axiom to be accepted sentence???
wind cloak
Now add small circles to get a cylinder
alpine sable
Jet printer so are you saying I like an axiom to be accepted sentence???
its not so much an axiom as it is a definition, you can't talk about addition without defininging what addition is
but it's like an axiom in the sense that you cant prove it
worn fox
Oh you can probably set it up as an integral
alpine sable
Guys help me
ok
lets look at things physically
what does it mean when i say i have a 1 litre water bottle
What to take as an elemental thing
it means i can hold xxx amounts of water molecules
worn fox
$\int_0^h (\text{Cross sectional area}), \dd x$
ocean sealBOT
ΣAC
alpine sable
wind cloak
My man's legit deriving the formula for the volume of a cylinder 😂
wind cloak
So let dx be the area of the cross section
wind cloak
And h be the number of "sheets"
alpine sable
Yeah I got what you are saying but
where you multiply by some constant from chemistry to get the xxx, and liquids don't have a well defined molecular structure so we'll say we mean a 1 litre bottle means it can hold 1 litre of ice when frozen (technically water shrinks when you freeze it but that doesn't matter this is not a physics problem) then we know that the structure of ice on a molecular level can be thought of as a matrix of cubes (at least im pretty sure), thus if we find the no of these cubes we have our answer
But doesn't that integration already taken a meaning that 2d figures stacked upon each other to give a 3d figure??
Where as 2d figures cannot stack up bacause they have no height or depth
so if we try to approximate a circle using a square grid, we get the no of cube areas on the bottom = area of the approximation / area of the single cube face
🥺 I am dumb
and then we also stack these cube approximations on top of each other until they get the closest to the top
then the no of cube heights = approximate height / height of a single cube
Guys I am really sorry time for my class
I will come again
I am really sorry
.close
lone heartBOT
lone heartBOT
Available help channel!
lone heartBOT
lone heartBOT
@sly comet Has your question been resolved?
ionic trail
My guess is 20.
Look at how T transforms any point. It flips it horizontally and stretches vertically by a factor of 3, and adds 5 on top.
So an area of size 5 gets transformed to an area of size 5*3+5 = 20
gray falcon
lone heartBOT
gray falcon
what does the lowercase 16 mean ?
hazy violet
If its base is 16 then its a hexadecimal
If its base is 10 then its decimal
base 2 is binary
hazy violet
OCtal
gray falcon
is there a base 4
hazy violet
I dont think so
gray falcon
so its just 2, 10, 16 ?
ionic trail
so its just 2, 10, 16 ?
Mathematically you can use any natural number >1 as a base. Not all have names though.
hazy violet
Mathematically you can use any natural number >1 as a base. Not all have names t...
OH..
ionic trail
Even base 1 kind of exists. It's basically counting the symbols like 5 = IIIII
ionic trail
It's called unary
hazy violet
OK
Got it
How do we convert a number of base x to a base y?
Is there a fixed method to do?
ionic trail
How do we convert a number of base x to a base y?
So you could convert from base x to base 10 first, then convert from base 10 to base y.
ionic trail
Base x to base 10 is like multiplying and adding. Base 10 to base y is dividing
hazy violet
OK
ionic trail
And finding the remainders etc.
gray falcon
so to convert 2b94c do i just convert each character into binary ?
ionic trail
so to convert 2b94c do i just convert each character into binary ?
Yes that's a neat trick you can use when going from 16 to 2
Each hexadecimal digit can be expressed as a 4-digit binary number
gray falcon
what is ff_2 though
hazy violet
what is ff_2 though
Its a hexadecimal number
gray falcon
decimal
ionic trail
Ok
ionic trail
Yeah that's the same
ionic trail
If its base is 16 then its a hexadecimal
.
oak perch
Do it by definition then, $100000000000000000_{2}+B’{2}(1000000000000{2})+11100000000_{2}+1000000_{2}+C’{2}$ where $B{16}=B’{2},C{16}=C’_{2}$
ocean sealBOT
Cogwheels of the mind
hazy violet
Do it by definition then, $100000000000000000_{2}+B’_{2}(1000000000000_{2})+1110...
Wht?
oak perch
?
hazy violet
I dont get wht u mean
gray falcon
2b94c to base 2
2 = 1 2 4 8 --> 0100
b = 11 --> 1 2 4 8 --> 1101
9 = 1 2 4 8 --> 1001
4 = 1 2 4 8 --> 0010
c = 12 --> 1 2 4 8 16 --> 1100
answer = 0100 1101 1001 1100
did i do it right
oak perch
16^k=2^4k
gray falcon
mkgamer do you know if i converted it right ?
hazy violet
mkgamer do you know if i converted it right ?
Its wrong give it another go
hazy violet
Ur close
hazy violet
2b94c to base 2
2 = 1 2 4 8 --> 0100
b = 11 --> 1 2 4 8 --> 1101
9 = 1 2 4 8 --...
For starters 2 isnt 0100 its 0010
oak perch
You should have said B=11, C=12 at the beginning
gray falcon
2 = 1 2 4 8 --> 0010
b = 11 --> 1 2 4 8 --> 1101
9 = 1 2 4 8 --> 1001
4 = 1 2 4 8 --> 0010
c = 12 --> 1 2 4 8--> 0011
now?
oak perch
You forgot 16^k
gray falcon
what
oak perch
2 times 16^4
So (10) times (10000000000000000)
11 times 16^3
(1011) times (1000000000000)
…
So
100000000000000000
+
1011000000000000
+
100100000000
+
1000000
+
1100
=10 1011 1001 0100 1100
gray falcon
oh wait i was doing it the wrong way
2 = 1 2 4 8 --> 0010
b = 11 --> 1 2 4 8 --> 1011
9 = 1 2 4 8 --> 1001
4 = 1 2 4 8 --> 0100
c = 12 --> 1 2 4 8 --> 1100
@hazy violet
oak perch
Then line them up together
gray falcon
ye
hazy violet
2 = 1 2 4 8 --> 0010
b = 11 --> 1 2 4 8 --> 1011
9 = 1 2 4 8 --> 1001
4 = 1 2 4 ...
Correct
gray falcon
Correct
what about this tho
1101 1101 1110 1011
do i just convert each pair into decimal ?
gray falcon
what does the _ mean
oak perch
Base 16
oak perch
1101, 1101, 1110, 1011
hazy violet
where you get getting 13 13 14 11 from ?
Do u know how to convert binary to decimal?
gray falcon
ye
hazy violet
you converted each one to decimal?
Yesh
Then do it like tht
After splitting the no. into segments of 4 characters each
gray falcon
After splitting the no. into segments of 4 characters each
1101, 1101, 1110, 1011
i convert each one into decimal
and then combine them?
hazy violet
No
Then u convert each decimal into hexadecimal then combine them
U can use this for reference
hazy violet
Then u convert each decimal into hexadecimal then combine them
Or you cud convert directly into hexadecimal if u can remember the values correctly
lone heartBOT
@gray falcon Has your question been resolved?
lone heartBOT
lone heartBOT
Available help channel!
wild pivot
I can't understand this sum, can anyone explain this to me a bit more detailed?
harsh girder
lone heartBOT
@wild pivot Has your question been resolved?
lone heartBOT
lone heartBOT
Available help channel!
indigo lotus
lone heartBOT
indigo lotus
can someone please explain this
mortal trellis
explain what about it
indigo lotus
what that mod p means here
like does it mean that when we divide x^2 by p
we get remainder 1
or is it something else
indigo lotus
okay so if I take p = 7
then this means that (7-1)^2/7 = 1
@mortal trellis shouldn't they write (mod p) on the left side?
mortal trellis
no. it means when you divide (7-1)^2=36 by 7 you get the remainder 1
that's different
you could but not necessary
keen pasture
a = b mod p if a-b = 0 mod p so a-b = np
mortal trellis
you could write a mod p = b mod p but that's lengthy
mathematicians are lazy
so we just write a = b mod p
final viper
if a function is not defined at some x , will the integral also be not defined at that x
mortal trellis
if let's say $f(b)$ isn't defined and we have the integral $\int_a^b f(x) dx$, then that may converge or diverge, it depends on $f$
ocean sealBOT
Denascite
final viper
antiderivative?
integral is antiderivative right
limpid spade
depends
rose sigil
not clear what you mean when you say integral
rose sigil
I guess the best answer to you question if you meant antiderivative is "no, it will not be"
final viper
i have the func $\int \frac{1}{lnx}dx$
ocean sealBOT
Oreo
rose sigil
but the question is a little weird
final viper
since i dont want to calculate the integral
i just want to comment if it will be defined on x = 1
so wondering if there is a way
mortal trellis
usually the way this is done is to define $f(1)$ as $f(1) = \lim_{t\to 1} \int_a^t \frac{1}{\ln x} dx$ and see if the limit converges. so in that way the function is defined at $x=1$
ocean sealBOT
Denascite
mortal trellis
,w integral from 0 to 1 of 1/ln x
ocean sealBOT
mortal trellis
in this case it doesnt
limpid spade
the thing is 1/lnx doesnt have a elementanry antiderviatibe
so he or she has to find iot out without doing the integral
rose sigil
what does that have to do with anything?
mortal trellis
well just makes it harder to explicitly calculate the limit
lone heartBOT
@final viper Has your question been resolved?
rose sigil
I don't know what calculation could be needed... there is no differentiable function (let alone one whose derivative is x \mapsto 1/ln(x)) with 1 in its domain whose derivative doesn't have 1 in its domain
rose sigil
of what?
final viper
actual ques
using leibnitz theorem
we can find that f`
and the derivative is not defined at x = 1
i just want to know if the function is increasing or decreasing at 1
for that it should be defined first which i am not sure it is
lol
alpine sable
hi
mortal trellis
do you have a question?
alpine sable
Hi
alpine sable
do you have a question?
slender gull
34: rationalize.
wind cloak
34: rationalize.
It might be possible to get the denominator in the form of a perfect square
mortal trellis
is this a test?
alpine sable
Can you send me solution
wind cloak
$5 + 6 - 2 \cdot \sqrt{5 \cdot 6}$
So this becomes $(\sqrt5 - \sqrt6)^2$
And that will cancel the outer radical
slender gull
For 36, ||you pair the first factor with the last. And the middle two together. That gives you a a good difference of squares form. Then it's easy after that.||
slender gull
It might be possible to get the denominator in the form of a perfect square
Yes, rationalize only after that.
wind cloak
You can do the same for the other denominators
alpine sable
nice
slender gull
Yeah for the last one, 4sqrt(3), you can if you wish to, write it out as 2sqrt(12) it's easier to do it from there.
wind cloak
Yup
Push one of the 2s into the radical
I can't see the 35th question entirely
Can you resend it
alpine sable
how do i tackle 33rd
wind cloak
Uh
alpine sable
I can't see the 35th question entirely
I can do 35th
alpine sable
You wanna see it ? It's an interesting question it took me some time
wind cloak
If you're done you can type .close
wind cloak
You wanna see it ? It's an interesting question it took me some time
Sure lol
alpine sable
wind cloak
I've done a similar one
slender gull
If you need a fast way, then you only need to read the question till 3 and -1/2 to know the answer.
(saying this cause you told it took you a while)
alpine sable
yes
nah
it took me a while
to figure it out by vietas formulas
after that it was all no pain
lone heartBOT
@alpine sable Has your question been resolved?
wind cloak
how do i tackle 33rd
square each of the options and see what gives you the question
Work smart not hard
alpine sable
Working hard makes u smart
alpine sable
But I don't seek answers I already have answer key I just want best possible approaches to solve questions
wind cloak
No wait
wind cloak
But I don't seek answers I already have answer key I just want best possible app...
Hit and trial lol
alpine sable
lol
wind cloak
General rule of thumb for me is
If I don't understand how to even start a question within 30 seconds I leave it for the end
And then just hit and trial after everything else
Especially for stuff like this
And option b is right
alpine sable
but if we just crack exams are we actually accelerating our intelligence lol
being able to think is more fun and satisfactory tbh
bleak temple
this is gonna sound like a troll question but i'm genuinely curious, how do you add two numbers together without the + operator
weary crag
this is gonna sound like a troll question but i'm genuinely curious, how do you ...
a-(-b)
lol
weary crag
how about multiplication without the multiplication operator?
a x b = a / (1/b)
wind cloak
integral without the integral operator
bleak temple
sure
weary crag
@wind cloak mocking me. ha ha. idk
weary crag
while we're at it square root without square root
x^1/2
wind cloak
$\frac{1}{2}\log_a b = \log_a c$
ocean sealBOT
NEONPerseus
weary crag
**NEONPerseus**
this is for root?
alpine sable
yea
weary crag
interesting!
alpine sable
those are pretty cool questions
wind cloak
this is for root?
Yup
You can write exponents in three ways
💀
log is the most fun though
alpine sable
taylor series
weary crag
those are pretty cool questions
i am sure this guy is a month past learning programming XD
alpine sable
😭
wind cloak
$x^{a} = a\log{x} = \sqrt[\frac{1}{a}]{x}$
ocean sealBOT
NEONPerseus
wind cloak
i am sure this guy is a month past learning programming XD
Me?
weary crag
by "this guy" i was referring to the person who asked this question. (who started this help channel)
wind cloak
Ah
alpine sable
how old are ya
wind cloak
taylor series
Beautiful
alpine sable
random wuestion
wind cloak
?
alpine sable
yep
wind cloak
lol
void niche
Has your question been answered @bleak temple
lone heartBOT
@bleak temple Has your question been resolved?
alpine sable
Hi
alpine sable
you're funny
wind cloak
I already told you about the 34th and 33rd ones
wind cloak
What grade are you in
alpine sable
yes
wind cloak
:P I was just giving you the quickest methods for each
alpine sable
are you in college
wind cloak
I'm in Grade 11
alpine sable
you're smart for your grade
alpine sable
where you from
nice
i think you're self taught , they don't teach much higher math in 10th in grade in europe if i am right
alpine sable
have you started with pre calculus yet
wind cloak
yes
alpine sable
finished it ?
wind cloak
finished it ?
you can never truly finish a subject xd
alpine sable
that's subjective
wind cloak
¯_(ツ)_/¯
lone heartBOT
@alpine sable Has your question been resolved?
lone heartBOT
@alpine sable Has your question been resolved?
lone heartBOT
@alpine sable Has your question been resolved?
tawny relic
@alpine sable what have you done so far?
lone heartBOT
@alpine sable Has your question been resolved?
alpine sable
lone heartBOT
kindred dagger
Little hint
lone heartBOT
@alpine sable Has your question been resolved?
alpine sable
Little hint
Wait.. where did we get the 9 from?
kindred dagger
the difficulty here is to put into equation the problem
kindred dagger
What is a, n and d ?
kindred dagger
I think you are confusing with arithmetic sequences
alpine sable
Aren't they similar?
kindred dagger
geometric sequece is defined by Un+1 = d × Un (with your notation)
And arithmetic : Un+1 = d + Un
alpine sable
a short summary on this : https://math.libretexts.org/Bookshelves/Algebra/Book%3...
Thanks!
kindred dagger
For your question, 11th term 32 times larger than the 6th term means than U(11) = 32 × U(6)
And you can express U(6) and u(11) in terms of the common ratio, it gives us a simple equation to solve
alpine sable
Okay, thank you! I'll try figuring it out.
And just another quick question about trig
Is acrsin the same as sin^1?
lone heartBOT
@alpine sable Has your question been resolved?
kindred dagger
Is acrsin the same as sin^1?
arcsin(k) is the solution to the equation sin(x) = k for x between -pi/2 and pi/2
this function was originally "invented" since otherwise it is impossible to solve the equation
And generally, we defined f^(-1) the function where f^(-1)(k) is the solution to f(x) = k
But that as nothing to do with exponent, to avoid confusion as soon as there are both we avoid the notation f^(-1) and we call it the reciprocal function of the other
(for example sqrt is the reciprocal function of x^2 where x≥0, never we will write x^2^(-1) )
So yes arcsin is the same as sin^(-1) but it's better to use arcsin to avoid confusion
lone heartBOT
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potent rain
I used the time dilation equation to find the % speed of light the ship was going at https://i.imgur.com/iyzcted.png
potent rain
I have 25 years spent on earth and 20 on the spacecraft clock
my answer is v^2/c^2 = -9/25
I'm confused because this seems to be the right answer
v = 3i*c/5 is this correct?
I can't factor out the negative but the correct answer indeed is 60% the speed of light
nvm both sides negative
I guess u can just -1 both sides
.close
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austere trail
What is the monetary value of the Earth, in United States dollars?
tacit arch
The fuck
lone heartBOT
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real gazelle
What is the monetary value of the Earth, in United States dollars?
I don't think there is an answer to this question
austere trail
I don't think there is an answer to this question
sure there is
you just have to take an inventory of all the economies and resources within the world
wide raven
philosophically speaking it is priceless
lone heartBOT
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faint steeple
what is the slope in the equation?
lone heartBOT
what is the slope in the equation?
sour dove
so what's the definition of slope?
white pivot
y=mx + b
(m is slope)
last ether
what is the slope in the equation?
Well it's simply just matching terms
faint steeple
Can you help me with that
last ether
You have to be able to look at the point-slope formula and look at what you have
faint steeple
i forgot my 9th grade math
last ether
So if I were to color code it
I'll give an example
Let's say you have $y - 5 = 2(x-7)$
ocean sealBOT
Umbraleviathan
faint steeple
faint steeple
Let's say you have $y - 5 = 2(x-7)$
Yeah
last ether
Now if I were to color code it
white pivot
it's invisible 👀
last ether
-(x-3) is the same as -1(x-3)
faint steeple
-(x-3) is the same as -1(x-3)
So should i put -1?
last ether
Yeah
last ether
$$(x_1, y_1)$$
ocean sealBOT
Umbraleviathan
white pivot
umbraleviathan the server gigachad
white pivot
you mixed them up
faint steeple
Oh
white pivot
and they'd be positive since y-(y1)
last ether
Wrong signs too
faint steeple
So its (2,3)?
white pivot
the variable itself is positive
white pivot
close
white pivot
yeah 😄
faint steeple
Should the slope stay negative or positive?
white pivot
Should the slope stay negative or positive?
wdym?
the slope of -x would be negative because there's a negative sign
faint steeple
Alright
got it
I’m gonna do the other 4
a tell me if I get them incorrect
brb
white pivot
gl
white pivot
that sucks but you can get it up
faint steeple
Yeah i’m only missing two assignments
Which is what i’m doing rn but they have 30 slides on both
Hopefully u guys can help
white pivot
Yeah i’m only missing two assignments
then you can pass!!!
white pivot
i enjoy the social aspect and there's always that one class that's fun but that's it for me
white pivot
send
white pivot
why would the slope be 0?
white pivot
😂
white pivot
y1 would just be 0
white pivot
y - 0 = y
white pivot
check the third one again
faint steeple
I did
white pivot
check the signs for the 3rd and 5th one
sly comet
lone heartBOT
sly comet
How do u do 5d??
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ionic trail
How do u do 5d??
If you know roughly the shape of the graph, it's really easy:
You are basically looking for a horizontal line y=n that crosses the graph exactly once.
inner sequoia
Conjecture: "If two angles do not form linear pair, then they are not supplementary"
Would the counterexample to this be "If two angles do not form a linear pair, then they are supplementary"
sly comet
Conjecture: "If two angles do not form linear pair, then they are not supplement...
So I guess turning point
N= y-value of turning point? @ionic trail
inner sequoia
So I guess turning point
?
just conjectures
if p --> q is false then i prove it with p --> ~q as a counterexample, no?
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inner sequoia
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uneven isle
not rly sure how to do dis if anyone can quickly help
lone heartBOT
not rly sure how to do dis if anyone can quickly help
wide raven
well it looks kinda simple tho cuz f inverse of f(a) must be a i think
unless, [] is gif
uneven isle
the answer is 2-a but idk how they got that
tacit arch
Did you find the inverse function
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viscid hornet
Hello! For this question would you integrate the equation and then sub the one hour and sixteen minutes in to find C. After that would you then substitute 100 metres in and find how long.
viscid hornet
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gray gorge
,rccw
ocean sealBOT
gray gorge
Use integration
viscid hornet
.close
lament basalt
Prove that: ( it's about Trigonometric Identities)
lone heartBOT
Prove that: ( it's about Trigonometric Identities)
@lament basalt Has your question been resolved?
slender marten
Prove that: ( it's about Trigonometric Identities)
Multiply each term on the LHS by an appropriately designed 1 so you have a common denominator.
next acorn
Guys, would it be rigorous to say that 2 and 1 can be removed from the limit as they are finite numbers while the terms with e^4x^2 are infinite?
next acorn
That's how my high school teacher taught us to solve these but I don't know if in university it's a sufficient explanation
lilac nest
since you would get -infinity/infinity, you can use l'hopital's rule
"So, L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit."
next acorn
Well yeah, that was not my question though :)
lilac nest
which would basically remove the 2 and 1
worn fox
Can go without lhoptial and divide the top and bottom by e^(4x²) if you like
lilac nest
since their derivative is 0
lilac nest
Well yeah, that was not my question though :)
so that should answer your question
worn fox
Can go without lhoptial and divide the top and bottom by e^(4x²) if you like
This is what's really happening when you "remove the 2 and 1"
next acorn
Can go without lhoptial and divide the top and bottom by e^(4x²) if you like
Ok this makes sense
So when I have two equal terms that go to zero or infinity I should divide top and bottom by it?
little drum
removing the 1 and the 2 is a blunder
worn fox
So when I have two equal terms that go to zero or infinity I should divide top a...
It won't hurt to try yes, if they're polynomials you divide by the highest power
next acorn
It won't hurt to try yes, if they're polynomials you divide by the highest power
Well what about the lower powers
Oh nvm
I misunderstood
worn fox
If you do a question you'll see what happens
next acorn
No yeah I didn't think hard enough about it
little drum
they're finite but you can't just pretend to absorb the finite into the infinite and evaluate the rest accordingly. Instead, when you divide by the "e^(4x^2)" term, you're getting a ( finite term ± a term approaching 0 ) which concludes your limit
rest is as iCaird said
humble scroll
Hi
wind cloak
open your own channel
wind cloak
I mean
Lol
They've given you all values
As well as the formula you're meant to use
What more could you ask for
gusty gorge
can you show what you did?
ionic trail
So what's your work? Or where are you stuck?
lone heartBOT
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alpine sable
Hey is this correct
lone heartBOT
Hey is this correct
languid bolt
no
gray ingot
alpine sable
Just wait I'm uploading
I just came up with it and it's working well
This is an example
Hello ?
lone heartBOT
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lone heartBOT
@alpine sable Has your question been resolved?
lone heartBOT
@alpine sable Has your question been resolved?
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@unborn fox Has your question been resolved?
old horizon
no I think
alpine sable
$95\sqrt t sin^2(t/6) = 275 sin^2(t/3)$
lone heartBOT
$95\sqrt t sin^2(t/6) = 275 sin^2(t/3)$
ocean sealBOT
! R4MP4G3
alpine sable
How the heck do I solve for t?
elfin belfry
use mathway.com
alpine sable
Well I used desmos
elfin belfry
use mathway
alpine sable
But, is there no way to solve it?
wind cloak
**! R4MP4G3**
Let t/6 = θ now t/3 becomes 2θ try solving it now
But we have that annoying radical bruh
alpine sable
Yeah... mathway failed too
hehe desmos rules
Still arg that makes me think I am going about the problem wrong
.close
lone heartBOT
sour dove
@alpine sable fwiw I don't know if there's a conventional way to solve that. You would need to use numerical methods
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alpine sable
lone heartBOT
alpine sable
how can I find the domain of it's reciprocal ?
I know the reciprocal is 1 on top of the function
glossy current
I know the reciprocal is 1 on top of the function
then the function is denominator
then set a condition to make it exist
and log itself has condition
alpine sable
I have finals 2 weeks from now and what the doctor taught us doesn't resemble amything here can anyone help me with ex III i have the solution if it helps
alpine sable
then the function is denominator
yes with a 1 as the numerator
that I know
and the domain of the function itself
is easy to find
just have to be bigger than 1/2
problem is, the reciprocal of that function
has a weird domain
that I just don't understand
glossy current
yes
alpine sable
why is there 2 lines
glossy current
because it is discontinued
alpine sable
how could I tell though?
glossy current
set denominator = 0
and find out x value
then type on desmos x= that value
you will see
alpine sable
its undefined
glossy current
it's vertical asymptote
alpine sable
when you say denominator you mean the entire function?
glossy current
yes
alpine sable
then x = 0
glossy current
no
alpine sable
or undefined
glossy current
3ln(2x-1)+4=0
alpine sable
ah ok
glossy current
ofc x=0 is undefined because to make the f(x) exists x>1/2 as you said
glossy current
what
ln is a function if you want to get rid of them you need to do take inverse of them
like arcsin(sin(x)) = x
elfin belfry
oh
tacit arch
Might have to shift x by a multiple of 2 pi first
elfin belfry
ok
