nice
#help-17
zinc sequoia
r u edecel too
pulsar scroll
nah OCR
zinc sequoia
2 Astars one A but im aiming for as high as posible
pulsar scroll
damn
pulsar scroll
A*AAA for my firm
zinc sequoia
cool what degree
zinc sequoia
havent decided yet got till June 8th i knwo its last minute
zinc sequoia
distance
pulsar scroll
they must be pretty selective unis tho if you need 2 A*
zinc sequoia
tbh atm im most focused on getting a good grade in econ
essay subjects arent my favourite
zinc sequoia
fair enough i gotta get back ti my revision lmao gl with your exams
steady heart
Hello, I am trying to practice more with problems like this one, involving 3D dimensions and using concepts like, trigonometric ratios with right angle triangles and sine and cosine law. Does anyone know where I can find challenging problems like these?
vocal sleetBOT
Hello, I am trying to practice more with problems like this one, involving 3D di...
autumn sleet
Perhaps ask #book-recommendations ?
steady heart
Can't send images there
autumn sleet
Send a link to this image?
Or just the text of the question, as its enough to understand what kind of questions you are looking for
spiral inlet
Where did this even come from? That "prince" looks like it was ripped from a political cartoon lol
steady heart
My teacher made it lol
She didnt give any similar questions though and I can't find any.
pallid zenith
steady heart
<@&286206848099549185>
vocal sleetBOT
@steady heart Has your question been resolved?
vocal sleetBOT
@steady heart Has your question been resolved?
vocal sleetBOT
@steady heart Has your question been resolved?
vocal sleetBOT
@steady heart Has your question been resolved?
outer warren
you don't really need specific matching examples
these types of problems are just a combination of smaller problems
i.e. two right triangle trig problems
and an application of cosine rule
focus on understanding the basics, which are applicable to such problems
that way regardless of how the problem is structured, you'd be able to do it
vocal sleetBOT
@steady heart Has your question been resolved?
lavish sluice
She didnt give any similar questions though and I can't find any.
check class 10 ncert
chapter of trigonometric distances or smthn
sudden cloud
Hi does anyone know where the teacher got 3/18 from?
vocal sleetBOT
Hi does anyone know where the teacher got 3/18 from?
kind estuary
haha np
sudden cloud
Bro i was like is this man pulling numbers out his ass
kind estuary
lmao
fierce prairie
vocal sleetBOT
vocal sleetBOT
The answer I got is p^5/6q^7
Show your work, and if possible, explain where you are stuck.
fierce prairie
paper depot
$\frac{p^7}{p^{-2}} \neq p^5$
twin meteorBOT
Ann (glomed)
paper depot
and likewise $\frac{q^{-2}}{q^{-5}} \neq q^{-7}$
twin meteorBOT
Ann (glomed)
paper depot
and also $\frac{-3}{2} \neq \frac{1}{6}$
twin meteorBOT
Ann (glomed)
paper depot
we dont give out answers
you should think about this yourself first
think about exponent laws
as well as addition and subtraction of integers
paper depot
**Ann (glomed)**
keep this in mind too
paper depot
can you transmogrify 3/2 into 6?
paper depot
yeah so
fierce prairie
-2p^9q^3/3?
Wait hold on
You canβt do that I think because all indices have to be positive?
ππ?
paper depot
btw why did the two and three switch places
You canβt do that I think because all indices have to be positive?
tell me: do you know what an index is
the way you're referring to them
bc i think you've broadened the scope of that too much in your head
fierce prairie
WAIT OH
π
So the answer is literally just
-3p^9q^3/2
because only indices have to be positive
Oh my god π€¦π»ββοΈπ€¦π»ββοΈπ€¦π»ββοΈ
vocal sleetBOT
@fierce prairie Has your question been resolved?
viscid mantle
if cosec x + cot x =y, find value cosec x -cot x
vocal sleetBOT
if cosec x + cot x =y, find value cosec x -cot x
viscid mantle
i am confused right from the start
merry python
if cosec x + cot x =y, find value cosec x -cot x
Do you know the relation between cosec^2(x) and cot^2(x)
viscid mantle
yes
merry python
what is it?
viscid mantle
cosec^2(x- cot ^2(x=1
viscid mantle
how do i introduce square then?
merry python
can you factor?
viscid mantle
yes
merry python
difference of squares
merry python
Noo
merry python
a^2-b^2=(a+b)(a-b)
merry python
so (cosec(x)+cot(x))(cosec(x)-cot(x))=1
merry python
(a-b)^2+4ab = a^2+b^2-2ab+4ab=a^2+b^2+2ab=(a+b)^2
gusty berry
vocal sleetBOT
gusty berry
how do we approach these types of questions
react from me
merry python
try to multiply the equations
sharp steppe
Need help with this sum. This is the second half of the question but I don't think the first half is necessary. Answers say A and B are 4 and 3 respectively. Please ping me π
vocal sleetBOT
Need help with this sum. This is the second half of the question but I don't thi...
languid berry
could you share the first half
languid berry
not enough context without first half
errant briar
Yes
What are the values of a and d
Write the general term
And then take sigma
And compare a and b
sharp steppe
What is this general term, if you don't mind me asking?
If you mean the formula for Sn
sharp steppe
One sec
sharp steppe
a_n = 7+(n-1)Γ4
Oh so in cases like this we're supposed to use the formula for nth term
If I'm understanding things right
errant briar
Yes
timber tangle
I need help on the last two questions
It uses Trigonometry
vocal sleetBOT
I need help on the last two questions
It uses Trigonometry
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'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
2
vocal sleetBOT
Show your work, and if possible, explain where you are stuck.
ripe forge
i guess we use calculators,
what have you done
timber tangle
Well, i do know to find x, you'll need to label the rectangle, C=D is opposite, am I right?
ripe forge
no, just angles are equal
timber tangle
ah
timber tangle
rectangle
timber tangle
yes please thanks
You'll need to label the sides whether it is opposite, hypotenuse or adjacent then you'll know which trig equation to use-
timber tangle
oh
ripe forge
do you know cosine theorem
timber tangle
yes.
ripe forge
could you find the value of bisect sides
you know angle and value of 1 side
by cosine theorem
languid berry
wut
languid berry
use sin50 to derive the x?
languid berry
doesnt calculation of sin 65 still require a calculator
languid berry
fair
vocal sleetBOT
@timber tangle Has your question been resolved?
vocal sleetBOT
vocal sleetBOT
Available help channel!
honest spruce
vocal sleetBOT
devout urchin
vocal sleetBOT
pearl halo
so i was reviewing some notes for a test next week, and i was on the confidence interval for variance comparison tests
vocal sleetBOT
so i was reviewing some notes for a test next week, and i was on the confidence ...
twin meteorBOT
Pokerface.exe
pearl halo
i understand F means the snedecor f-distribution, but just to re-understand: how do i get Finf and Fsup?
what specific values do those pinpoint to?
pearl halo
<@&286206848099549185>
vocal sleetBOT
@pearl halo Has your question been resolved?
flat whale
pearl halo
.close
merry python
<@&268886789983436800>
lost yarrow
.close
fringe venture
vocal sleetBOT
fringe venture
how do you work a i
tranquil silo
how do you work a i
Before I give my solution, is it 0.16?
fringe venture
i dont have the solutions
tranquil silo
Oh nvm
dark field
Hint: The corresponding complementary event is "There are some passenger(s) who turn up cannot get a seat". Then when will this happen?
fringe venture
if they all come then is the probabilty 0
im confused
drop the answer maybe i could work back to front
@dark field Can you help me
<@&286206848099549185> can someone help
normal mango
if they all come then is the probabilty 0
But what is the probability that they all come?
vocal sleetBOT
@fringe venture Has your question been resolved?
fringe venture
But what is the probability that they all come?
0.7^9
then what do you do after that
normal mango
Then you notice that either "everybody gets their seat" or "someone doesn't get their seat". Which means that P(everybody gets their seat) + P(someone doesn't get their seat) = 1
And since "someone doesn't get their seat" happens only when all passengers come, that means that :
P(everybody gets their seat) = 1 - 0.7^9
vocal sleetBOT
@fringe venture Has your question been resolved?
vocal sleetBOT
vocal sleetBOT
Available help channel!
near vigil
when i apply Lhopital's rule to the left side, do i also have to differentiate the right side?
vocal sleetBOT
when i apply Lhopital's rule to the left side, do i also have to differentiate t...
near vigil
.close
grizzled bear
Why aren't these equal
vocal sleetBOT
Why aren't these equal
grizzled bear
,rotate
twin meteorBOT
vast shale
there's a physics server in #old-network
grizzled bear
But... This is dynamics
hasty pulsar
since when was dynamics no physics
grizzled bear
Since when didn't dynamics belong to maths
hasty pulsar
because it isnt math
bleak zinc
iirc isn't m*v momentum
hasty pulsar
yes
bleak zinc
then that's why they're not equal
grizzled bear
karmic imp
Mechanics is more physics related than math
grizzled bear
iirc isn't m*v momentum
And dH/dt = force no?
bleak zinc
i think so
vast shale
Newton's second law only works with constant mass https://en.wikipedia.org/wiki/Newton's_laws_of_motion#Second
f=ma is only true for constant acceleration and mass
yes what toby said
otherwise you are dealing with complicated differential equations
grizzled bear
I thought f = ma, but it seems the actual definition is rate of change of momentum, which is ma when m or a is constant, so ig I should always do dH/dt
grizzled bear
Mechanics is more physics related than math
Idk man my physics teachers do electricity and light and stuff I never knew they can use integrals
Ok thanks for help, ig I will try to utilize the original definition of whatever I want to find instead of the written rule
karmic imp
Idk man my physics teachers do electricity and light and stuff I never knew they...
Physics can apply math concepts
This server, most people are pure maths or applied maths, like linear algebra, calculus, etc, while physics uses those concepts. There are some people who knows physics but it ne more limited compared to math concepts
vocal sleetBOT
@grizzled bear Has your question been resolved?
vocal sleetBOT
vocal sleetBOT
Available help channel!
crystal meadow
hello can someone help me with this
vocal sleetBOT
hello can someone help me with this
vast shale
,rccw
twin meteorBOT
vast shale
ok so
you set up the ratios correct
now instead of x + y + z = 100
you want to rewrite it in terms of one variable
crystal meadow
Oeh
crystal meadow
like we take the sum of x + y + z as a variable ?
crystal meadow
oeh like x =100 - y - z
crystal meadow
yeah
vast shale
similarly, x = 2z so z = x/2
crystal meadow
Oehh yeah i tried doing it i didn't get the asnwer for for reason
crystal meadow
now you can write x + y + z = 100 as x + 2x + x/2 = 100
yeah i did that
crystal meadow
wot
crystal meadow
Oh sht
LMAO
I was diving the 2 with 100 instead of multiplying
π
thanks for the help lol
gah damn i was like what the heck am i doing wrong all this time
and didn't see that
crystal meadow
.close
rugged silo
Algebra 1 question
vocal sleetBOT
Algebra 1 question
rugged silo
the question is 12xΒ²+13x=5x
the solutions are 0,β or 0,-β
I need to know how to solve it with the quadratic formula
crystal meadow
is it 5 or 5 x
rugged silo
5x
crystal meadow
oh
vast shale
yeah
rugged silo
ok so now lemme plug it in
vast shale
do you have to solve it using the formula, because there is a quicker way
vast shale
ok then
rugged silo
or do I use the completing the square method..
rugged silo
alr
vast shale
or do I use the completing the square method..
dont do that
you can use formula
but personally i'd just factor the x out
vast shale
yeh
ornate ember
ye i got 0 , 2/3 or -2/3
2/3 is not a solution.
crystal meadow
2/3 is not a solution.
i thought there's a + or - sign so
rugged silo
lemme solve some stuff and I'll show u what I got so far
crystal meadow
i too only got -2/3 but maybe
empty frigate
i thought there's a + or - sign so
well there is in the sense that the solutions are "1/3 +- 1/3"
rugged silo
I feel like this is wrong
crystal meadow
I feel like this is wrong
nono its right
empty frigate
that's correct, but it can be simplified more
empty frigate
yep
rugged silo
but now I have this
vast shale
so its either 0 or -16/24 which simplifies to -2/3
rugged silo
OHHHH
bruhhh
thats what I forgot
the minus
im so dumb
so the solution
is indeed
0,-β
midnight apex
Actually, plug them back in and double check
Sometimes, we get extraneous solutions
vast shale
just dont use quadratic formula, ez
x(12x+8) = 0 therefore x = 0, x = -8/12 = -2/3
rugged silo
I think
rugged silo
just dont use quadratic formula, ez
x(12x+8) = 0 therefore x = 0, x = -8/12 = -2...
but rn
all I pretty much know is the formula
crystal meadow
im studying algebra too its not that hard but i keep makin stoopid mistakes
rugged silo
plus
I think all i can use
wait
no
but if I use that formula
the entire final test
I should get every solution right
just as long as I simplify it right
vast shale
just as long as I simplify it right
sure
rugged silo
I can use other ways which like
midnight apex
If you're preparing for a test, you should also know other methods to save your time. The quadratic formula is kind of slow
rugged silo
If you're preparing for a test, you should also know other methods to save your ...
I have 2 hrs
midnight apex
If you can factor it, factor it
vast shale
2 hours on a quadratics test π
midnight apex
2 hours on a quadratics test π
That was our final, like 16 pages?
rugged silo
is 2 hrs bad?
rugged silo
That was our final, like 16 pages?
like 30 questions
midnight apex
like 30 questions
all about finding zeros? damn
vast shale
depends, 2 hours on purely quadratics is a bit much
crystal meadow
better get back to studyin then π
rugged silo
depends, 2 hours on purely quadratics is a bit much
like its good time?
midnight apex
I have 2 hrs
But yes, just try to use other methods
vast shale
yeah you have plenty of time
rugged silo
I think 2 hrs is just enough
midnight apex
And worry about extraneous solutions too
rugged silo
each question should take me 5
vast shale
assuming all 30 questions is solving quadratic equations, you'll be more than fine with 2 hours
crystal meadow
what's extraneous
midnight apex
what's extraneous
Solutions that seem like the answer, but they're not
midnight apex
Yeah
vast shale
freshman too
midnight apex
They teach extraneous solutions in freshmen / algbera 2
vast shale
in college π
rugged silo
well its good to always double check
crystal meadow
Solutions that seem like the answer, but they're not
Oeh
rugged silo
in college π
first year of highschool
midnight apex
in college π
I'm doing matricies rn, it's fun
rugged silo
its been a experience
midnight apex
Oeh
Yeah, so plug in the values and check if the equation IS zero
If it's not, then... it's an extraneous solution π
crystal meadow
ah i see
rugged silo
to equal 0
midnight apex
Well, when you're finding the solutions. And it's an "extraneous" solution (which just means that you have PUt that value of x into the equation and it DIDN'T become 0), you say "it's not a solution"
or like "there's only one solution, it's this:"
empty frigate
...wait does the quadratic formula ever actually produce extraneous solutions?
midnight apex
...wait does the quadratic formula ever actually produce extraneous solutions?
No idea. but I'm saying for the whole test. Assuming they don't just use the formula all the time
midnight apex
@empty frigate actually, does it? I don't know for sure
vast shale
when using quadratic formula i never check for extraneous solutions lol
vast shale
i doubt quadratic formula ever produces extraneous solutions
vast shale
unless a domain is specified or whatever
rugged silo
u right
also on a solution
like -5(x+6) - 2
and it asks for the maximum or minimum
its a maximum
midnight apex
@vast shale What are you majoring in at uni and how it is going
vast shale
<@456226577798135808> What are you majoring in at uni and how it is going
double majoring in math and economics
going great
midnight apex
Danggg
that's so cool
I'm planning on going into CS as my major and math as minor
vast shale
the sign on the first number
the sign on the first term determines whether the quadratic is facing up or down
rugged silo
is b/2
vast shale
so yeah it can tell you whether it has a max or min point
vast shale
I'm planning on going into CS as my major and math as minor
thats awesome
i'm considering minoring in cs
vast shale
positive means min
positive means there is a min yes
midnight apex
if it's negative, it'll go down. So it will have a "max" and not a "min"
rugged silo
negative goes up
midnight apex
Just think about it
rugged silo
I think
midnight apex
it makes sense
rugged silo
π
vast shale
negative faces down
midnight apex
negative goes up
what? negative goes up? wdym
midnight apex
?
rugged silo
it does??
midnight apex
you mean a min?
midnight apex
it can't have a min but a max yes
vast shale
well idk what the function is but yeah just find the points of x when y is 2
vast shale
yes
midnight apex
π«‘
vast shale
good luck
midnight apex
gl homie
vast shale
you got this
rugged silo
Goodnight guys ty for all the help
vast shale
yw
rugged silo
.close
gray spruce
idk how to explain or prove
paper depot
write out all the multiples of 79 below 1000 and see if any of them has a multiple of 41 two units below
or a multiple of 19 one unit below
i'm assuming GPF stands for greatest prime factors as i remember seeing this EXACT question (with these particular numbers) a few days ago.
paper depot
because the idea i am promoting here is to rule out all possibilities of the third number in your sequence being less than four digits long
i.e. less than 1000
gray spruce
ic
vocal sleetBOT
@gray spruce Has your question been resolved?
obtuse nest
Hi Math fellows, a quick question about absolute/relative maxima/minima of a func.
In following graph, the hole(point) at (1,2) could be an absolute/relative maxima?
vocal sleetBOT
Hi Math fellows, a quick question about absolute/relative maxima/minima of a fun...
brisk moss
if there was a relative maximum at 1, that would mean you can find an interval around 1 where the function values are all less than or equal to f(1)
is there such an interval?
similarly...
if there was a relative minimum at 1, that would mean you can find an interval around 1 where the function values are all greater than or equal to f(1)
obtuse nest
is there such an interval?
Hi, I think the interval is supposed to be [0,2]
So based on definition given, as left limit of x=1 is not equal to right limit and f(1), then this means a hole in a graph like above is not a relative/absolute max/min?
brisk moss
no, that is not always the case
brisk moss
Hi, I think the interval is supposed to be `[0,2]`
also i think you misunderstood
obtuse nest
this would have a local min at 1
Hmm, so if hole and point get swapped, then 1 could be a relative max than?
brisk moss
Hmm, so if hole and point get swapped, then `1` could be a relative max than?
yea sure in that picture
brisk moss
in the green interval, all the function values are bigger than f(1)
so it has a local min there
or relative min whatever you wanna call it
obtuse nest
Great, so in original question, the same story, (1,2) could be a relative/abs maxima it it was a point not a hole
brisk moss
well...
(1,2) is not in the graph of the function
so your question doesn't really make sense
is there an original question that yours is based off?
obtuse nest
(1,2) is not in the graph of the function
I meant this, so x=1 could be a max now?
obtuse nest
Now it makes sense, I really really appreciate your time explained this, math bless us all.
brisk moss
haha np :)
vocal sleetBOT
outer warren
its asking you to solve an equation
outer warren
factorise
fluid ivy
how
outer warren
the same way you'd approach the factorisation of anything else
stiff pumice
Then equate the the two product constituents to 0
outer warren
first identify if there are factors common in both(all) terms,
and if such factors exist, factor them out
fluid ivy
common factor would be the 4 right?
outer warren
4 is common factor yes,
you can first factor that out
and then continue to search for more
fluid ivy
what else is there outside of 4?
outer warren
take a harder look
don't overthink
would you be able to factorise something like
6p + 9pq
fluid ivy
would you be able to factorise something like
6p + 9pq
3p(2+3q)
outer warren
yes, same idea for what you have
fluid ivy
i take out x...?
outer warren
no
2sin(x) is just the product of 2 and sin(x)
2sin(x)cos(x) is the product of 2, sin(x) and cos(x)
sin, cos aren't values being multiplied to x
4sqrt(3)cos(x) is the product of 4, sqrt(3) and cos(x)
fluid ivy
i take out 2 cos(x)?
outer warren
8sin(x)cos(x) is the product of 8,sin(x) and cos(x)
try factoring that out and see what you get
and show me
fluid ivy
2cos(x) (sin(x) 2sqrt3) ?
fluid ivy
i dont know man i give up, being up at 4:30am reviewing is just gonna drive me insane
outer warren
would you be able to factorise something like
$$4\sqrt{3}p - 8pq$$
twin meteorBOT
βamonov
fluid ivy
4p (root3 - 2q)
outer warren
and the idea is exactly the same for what you have,
i just used p and q instead of cos(x) and sin(x)
fluid ivy
the math aint mathing, thanks for trying to salvage my dumpster fire of a brain
outer warren
$4\sqrt{3}\red{\underbrace{\cos(x)}{p}} - 8\red{\underbrace{\cos(x)}{p}}\blue{\underbrace{\sin(x)}_{q}}$
twin meteorBOT
βamonov
fluid ivy
ur supposed to treat 8cos(x)sin(x) as one unit?
outer warren
well yeh...
outer warren
the same way you treated 8pq
and the idea is exactly the same for what you have,
i just used p and q instead of cos(x) and sin(x)
outer warren
yes
rustic junco
How do I solve d^2 = t^2 -7t+16 (t = x^2) without complex numbers?
rustic junco
I actually don't know why it's giving me complex numbers because it should work...
outer warren
what's the original question
maiden iron
I actually don't know why it's giving me complex numbers because it should work....
what is d^2 ?
solid sage
was there words that the question had
outer warren
show the original question
rustic junco
It's the general function to find the distance between parabola y=x^2 and point (0, 4)
outer warren
1 sec
outer warren
i mean you pretty much already have it
urban edge
You still havent given us rhe original question
rustic junco
You still havent given us rhe original question
Find the minimum distance
urban edge
Ah thought so
outer warren
oh.
solid sage
i think the question is what is the distance from the parabola to point
like the function
outer warren
always show the original question in its entirety asap
so people don't have to speculate and/or play a guessing game
rustic junco
sry
outer warren
before sub, you'd have
$$d = \sqrt(x^4 - 7x^2 + 16)$$
for the min you could do stuff like complete the square
twin meteorBOT
βamonov
rustic junco
The discriminant is negative
That's where I'm stuck
@outer warren What do you suggest?
outer warren
for the min you could do stuff like complete the square
rustic junco
What do you mean?
outer warren
complete the square is a well known term
rustic junco
Not to me. English isn't my first language.
outer warren
look that up
rustic junco
Thanks for the help
vocal sleetBOT
@rustic junco Has your question been resolved?
rustic junco
Hmm nvm that didn't work
twin meteorBOT
Uchi
solid sage
i mean
if discriminant of something is negative just means the graph doesn't touch the x axis
what was your question again
rustic junco
Okay nvm I found the problem lol
I did need to differentiate.
I don't know why I thought I didn't need to at first
.close
brave remnant
I could only find the circle in the middle. thanks!!!
vocal sleetBOT
I could only find the circle in the middle. thanks!!!
outer warren
show work
brave remnant
so radius = 4 ( middle one )
becuase the circle touches x = 0 and touches x = 8
so diameter = 8 units
outer warren
and whats your equation for that circle
brave remnant
4^2 = (x-4)^2 + (y-4)^2
outer warren
so what are the coordinates of the centre
brave remnant
(4,4)
outer warren
have you tried determining the radius of the outer circle
brave remnant
I can't find the value becuase it's not a whole number
I just looked at the graphs and see that it's in between two numbers
outer warren
show work
doesn't matter if the number is whole or not, its still a number
it still has a value
outer warren
show work
brave remnant
umm..
outer warren
I can't find the value becuase it's not a whole number
supposedly you did some work, that led to some non-whole number
outer warren
you have the centre,
and point(s) on the circumference
you can apply the distance formula
to determine the radius
outer warren
yes
brave remnant
but I don't know the points on the circumference tho
outer warren
you are literally given them in the question
in fact for the outer circle, you are given 3 of them
you only need to use one of them for the calculation of the radius
brave remnant
oh
sorry
and then after I foudn the raduis of outer circle how do I find the inner circle?
do I use this
ohhhh
I understand
tysm for your help
.close
vocal sleetBOT
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proud igloo
I found that both of these 2 formulas are used for the negative binomial distribution (pmf)
vocal sleetBOT
I found that both of these 2 formulas are used for the negative binomial distrib...
proud igloo
But they arenβt the same they give 2 different valuesβ¦
vocal sleetBOT
@proud igloo Has your question been resolved?
vocal sleetBOT
@proud igloo Has your question been resolved?
vocal sleetBOT
@proud igloo Has your question been resolved?
vocal sleetBOT
@proud igloo Has your question been resolved?
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soft flame
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normal peak
hey yall i got some linear algebra hw, and i only need to confirm the solution
normal peak
im given that this set is a basis of a vector space V
and im asked to show that
is also a basis of V
is this correct?
(ignore the greek and please tell me if you can't make out the image, ill try and take a better one )
any help would be greatly appreciated
worthy citrus
this is only a proof of linear independence right?
normal peak
righttt how do i do that again?
worthy citrus
show you can write anything in the vector space as a linear combination of vectors in your list
normal peak
write im a bit rusty on that, ill do a quick google search and if im still confused ill ask for more details
thank you though in advance
so im looking at this
do i have to set up the matrix and do gaussian elimination to find the dimension or is that unecessary
wait no nvm
i just remembere dhow
well thanks again
worthy citrus
whatever you do will end up basically being the same as setting up the matrix and reducing
because you are indeed just trying to see if a linear system always has solutions
normal peak
just find Cn such that the nth element of the each basis set is equal ?
worthy citrus
im not really sure what you mean by that
normal peak
uh im not really sure either now
okie so
right yeah i just dont know how to do that
the vector space is V and i have to show that it's a linear combination of
im sure it's simple i just dont see it
worthy citrus
take $v \in V$, you can write it as $\sum b_n a_n$
twin meteorBOT
Ξ£AC
worthy citrus
the vector space is V and i have to show that it's a linear combination of
then find some c_n that make v a linear combination of these guys
your c_n will depend on the b_i
normal peak
is that b_i / (b_{i-1}+b_{i})
um
cause it would turn this
into
wait what
im fried
i mean a_i
on a scale of 1 to 10 how much am i overcomplicating it
wait so
In the EDIT of the first answer
i quote
" if we have n independent vectors, they must span the vector space. "
if only it's of dimension n
so the only thing left is to show that V is of dimension n?
which is kind of obvious i guess? since there are n basis?
or is that not how that works
yo you there? @worthy citrus
worthy citrus
" if we have n independent vectors, they must span the vector space. "
yeah this is a way to avoid a lot of the work
if you dont want to directly check
maximal linearly independent sets are automatically spanning
the dimension of a space is t he number of vectors in any basis yeah
normal peak
soo ill just say that dim(V)= n since there are n basis and get on with my life
i guess that is a yes
thank you again
.close
woeful ember
Hello, why is this the solution? I don't really know how to calculate the conditional expectation
vocal sleetBOT
Hello, why is this the solution? I don't really know how to calculate the condit...
karmic imp
Someone else took this channel just before you did, you need to open a different one
granite fossil
yeah i saw my bad
bronze vector
(x+3y)^5 pascals triangle
vocal sleetBOT
(x+3y)^5 pascals triangle
bronze vector
im stuck on the 3y, when do i have to multiply
i also dont know where to put the exponents
i have this so far
karmic imp
,rotate
twin meteorBOT
serene parrot
don't understand what the problem is
frozen bobcat
i have this so far
this is mostly correct, you have 2y for some reason.
karmic imp
Recall that $(ab)^n = a^nb^n$
twin meteorBOT
dldh06
bronze vector
so would i put the exponent on the x as well?
karmic imp
I'm saying for your 3y, you have $(3y)^n$. If you apply what I stated above, the $(3y)^n = 3^ny^n$
twin meteorBOT
dldh06
bronze vector
wait so lemme write this out
would the exponent always be 5?
through out the who equation for each 3y?
or would the number -1 / +1 each time
karmic imp
would the exponent always be 5?
No
You apply it for each term
You have a term that is (3y)^2
And a different one that is (3y)^3
And so on
Apply the rule I stated above
karmic imp
You can expand that more, like 5(x^4)3y, you can do 5 * 3, correct?
karmic imp
How did you get 9 for the 3rd term?
karmic imp
And that should be it
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velvet cove
yo
velvet cove
is it possible to factor $a^2-b^2-c^2$
twin meteorBOT
Jash
velvet cove
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slate schooner
where does the 4x^3, 3x^2y and -y^2 come from?
vocal sleetBOT
where does the 4x^3, 3x^2y and -y^2 come from?
hushed willow
then whats wrong
do the reverse
times in that bracket
with 2xy^2
and get the question
slate schooner
ohhhh I see
so just do whatever is needed to multiply by the GCF to equal the original expression
thanks
.close
iron crown
vocal sleetBOT
thin vale
that is because arctan has a domain restriction
twin meteorBOT
AustinU
thin vale
tangent is opposite over adjacent (SOHCAHTOA ?)
so either, the opposite side length is negative
or the adjacent side length is negative
this puts you in two situations
-2/1
or 2/-1
which puts you in two different quadrants
and arctan, will only give you the resulting angle for one of the quadrants, because it wants to be a function
so, it's your job to know what quadrant you are actually in, so you may shift the angle accordingly, if arctan lies to you
iron crown
Wouldn't it be that either the opposite side length is negative or the HYPOTENUSE side length is negative?
Since we're looking at tangent O/H
iron crown
π true
thin vale
I wrote it wrong originally, my bad if that threw you off haha
iron crown
Well our original coordinate gave us a -x and a positive y, so it must be that we are in the 2nd quadrant in the xy-plane, correct? So it is 2/-1
How do I know by how much to shift arctan to correct the angle
thin vale
arctan's restricts you to [-pi/2, pi/2]