Yup
#help-23
jagged sequoia
anyway thanks 🙌
safe radishBOT
anyway thanks 🙌
jagged sequoia
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Available help channel!
lean otter
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open wing
Hello
lean otter
hi
open wing
Does anyone know electronic
lean otter
safe radishBOT
lean otter
bro aint no way
bold ferry
my final statement on this: if you want help understanding how to solve this, we're here for you, but no one in this server is going to merely give you the answer (it isn't allowed anyway).
lean otter
nah i might have to server hop then cause aint no way ima get no where by dudes tryna explain this junk to me ☠️
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safe radishBOT
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torn yoke
Is there such thing as a function that is differentiable nowhere on the real line but everywhere on the complex plane?
safe radishBOT
Is there such thing as a function that is differentiable nowhere on the real lin...
lean otter
the real line is a subset of the complex plane
torn yoke
well i mean excluding the real line
peak estuary
do you still want it defined on the real line? continuous?
peak estuary
well if it is allowed to not be defined on the real line then the answer is trivial
just don't define it there
torn yoke
ah i see
lean otter
and if defined but not continuous on R, maybe this works? 0 on C\R, 1 on Q, 2 on R\Q
peak estuary
I think you can probably combine these two arguments somehow
https://mathoverflow.net/questions/10831/example-of-continuous-function-that-is-analytic-on-the-interior-but-cannot-be-an
https://www.quora.com/Are-there-any-functions-that-are-holomorphic-on-the-upper-half-plane-and-not-the-entire-complex-plane
torn yoke
and if defined but not continuous on R, maybe this works? 0 on C\R, 1 on Q, 2 on...
is there an example of a function that meets these requirements?
like a relatively well known function
lean otter
it's a function already
what do you mean by well known?
most well known functions are holomorphic
peak estuary
the point is, if you don't actually put requirements on the function on the real line, then coming up with counterexamples is not hard. take any function that is holomorphic on all of C and just change their definition on R "randomly"
south linden
beyond confused on how to solve
safe radishBOT
beyond confused on how to solve
safe radishBOT
@south linden Has your question been resolved?
sharp crane
hey @south linden
i recommend extending your sketch to include the shadow tip first :)
south linden
yes ended up figuring it out
wooden shell
Hello Im having a problem with this image
safe radishBOT
Hello Im having a problem with this image
sharp crane
whats the problem
wooden shell
I really don't understand it
sharp crane
you want the blue area right?
sharp crane
blue area = area of square - area of circle
wooden shell
blue area = area of square - area of circle
You there?
sharp crane
hi yes
wooden shell
blue area = area of square - area of circle
Formula?
sharp crane
for?
sharp crane
if you have a square shape and you cut out a circle from it, then you get the blue area
wooden shell
So 28×28?
wooden shell
if you have a square shape and you cut out a circle from it, then you get the bl...
You there?
sharp crane
that would be the square's area
sonic sapphire
safe radishBOT
sonic sapphire
when you sub dx with du, do you need parentheses?
sudden birch
Isn’t the derivative of x+5 is 1?
lean thorn
check your du calculation
sonic sapphire
ty ty
lean thorn
$u= x + 5 \implies x = u - 5$
flat frigateBOT
MellowDramaLlama
lean thorn
for a substitution
lean thorn
llamas transcend gender expression
sonic sapphire
ic ic, well the llama is goated
lean thorn
we simply are
lean thorn
ic ic, well the llama is goated
😛
sonic sapphire
.close
sonic sapphire
safe radishBOT
solid shell
How do I go about converting a three-dimensional parametric equation into a x+y+z=0 sorta equation?
safe radishBOT
How do I go about converting a three-dimensional parametric equation into a x+y+...
solid shell
I have $\alpha (t) = (2t+1, 3t, -4t+1)$
flat frigateBOT
lexitorius
solid shell
And I want to find the point in xy where that line intercepts the z=0 plane
So I figured I'd plug z=0 into it, but I'm not sure how to do that when it's in parametric form
I could turn $\alpha (t) = (2t+1, 3t)$ into slope-intercept form via substitution, just not sure how to do it in 3d
flat frigateBOT
lexitorius
solid shell
Oh durr I figured it out
trim swan
It's never gonna be in a form like Ax+By+Cz = 0 because that's a plane
and your parametric equation is a line
solid shell
Just had to find what value of t made z = 0
Being 1/4
Then plug 1/4 into the parameters for x and y
Lol I always do this, make a help channel right before I figure it out myself
Sorry to waste your time lmao
trim swan
To find where it intersects the xy-plane, right?
solid shell
Yeah
safe radishBOT
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Available help channel!
jaunty sandal
Solving quadratic equations by factoring
safe radishBOT
Solving quadratic equations by factoring
plucky elk
jaunty sandal
2s^2-4s=70
compact ferry
s^2 - 2s - 35 = 0
now use that
(s-1)^2 = s^2 - 2s + 1
s^2 - 2s - 35 = (s-1)^2 - 1 -35 = 0
compact ferry
(s-1)^2 = s^2 - 2s + 1
we subtract 1 to correct for this
(s-1)^2 - 36 = 0
(s-1)^2 = 36
s-1 = 6 or s - 1 = -6
s = 7 or s = -5
compact ferry
same way
jaunty sandal
What’s it called ion really get it
jaunty sandal
s^2 - 2s - 35 = 0
How’d u get that
thin bridge
rearrange to general form
note that all terms have a common factor and the equation can be simplified
jaunty sandal
s^2 - 2s - 35 = (s-1)^2 - 1 -35 = 0
I don’t get this part
How do u get to that after the general form and doing all that
Like what do I do now with 3x^2+9x=30
Into x^2 +3x -10 =0
Is x=2 and x=-5 the right x intercepts for it being solved ?
Think I got it
On C what do I do with the fractions
safe radishBOT
@jaunty sandal Has your question been resolved?
lean otter
quick chemistry question
safe radishBOT
quick chemistry question
lean otter
if I have 0.75M of HCl
does that mean I have 0.75 moles of HCl?
I know M is molarity
which is Moles/Liter
flat frigateBOT
MellowDramaLlama
lean thorn
It also means $\frac{\text{3 \text{ Moles}}}{4 \text{ Liters}}$
flat frigateBOT
MellowDramaLlama
lean thorn
or 3 moles of HCL per 4 liters
lean otter
Ok next part
there’s my balanced equation
There are two moles of HCl
That’s the question being asked
lean thorn
oh that I have no idea. This is mostly for math. I just know ratios and units lol
lean otter
oh okay
lean thorn
I haven't done chemistry in so long I couldn't tell you if that's right or wrong
there's a discord called Homework Help though
they're great with chemistry questions
lean otter
do you have a link inv?
lean thorn
I'll send you a DM w/ an invite
safe radishBOT
@lean otter Has your question been resolved?
ionic juniper
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Available help channel!
opal cairn
Let $\vec{G}$ be a digraph that is not Eulerian, but where its underlying (undirected) graph $G$ is Eulerian. Show that $\vec{G}$ does not have a directed Eulerian trail.
safe radishBOT
Let $\vec{G}$ be a digraph that is not Eulerian, but where its underlying (undir...
flat frigateBOT
e57721
opal cairn
I think $\vec{G}$ is weakly connected and have the result:
a weakly connected digraph $\vec{G}$ has a directed Eulerian trail if and only if at most two vertices have their indegree and outdegree unequal in which case for one of them $u \in V(\vec{G})$ : $d^+(u)-d^-(u)=1$
i don't know how to apply it though
flat frigateBOT
e57721
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@opal cairn Has your question been resolved?
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@opal cairn Has your question been resolved?
opal cairn
<@&286206848099549185>
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@opal cairn Has your question been resolved?
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hushed pier
How do I develope (3x + 5)^2.
I am stuck on the formula of (a+b)^2= a^2 - 2ab + b^2
safe radishBOT
How do I develope (3x + 5)^2.
I am stuck on the formula of (a+b)^2= a^2 - 2ab + ...
quasi bison
you misquoted the formula
you write
(a+b)^2= a^2 - 2ab + b^2
when the correct formula would be
(a+b)^2 = a^2 + 2ab + b^2
aside from this, a simple careful application of this formula should get you what you want.
hard bobcat
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upbeat peak
What does it help me to know AC and BD are perpendicular? BE = DE is also given ABCD is a square prove ABCD is a kite
safe radishBOT
What does it help me to know AC and BD are perpendicular? BE = DE is also given ...
safe radishBOT
@upbeat peak Has your question been resolved?
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@upbeat peak Has your question been resolved?
lean otter
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lean otter
correct?
safe radishBOT
@lean otter Has your question been resolved?
tall cedar
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tall cedar
help please
marsh shale
what did you try?
marsh shale
ok, maybe share your progress from the start?
tall cedar
ok, maybe share your progress from the start?
i just used a^m * a^n = a^m+n rules
marsh shale
ok, your result is correct, with the right bracket
so, it's three variables and two equations correct?
tall cedar
so, it's three variables and two equations correct?
two equations how?
tall cedar
it doesn't look correct
marsh shale
yeah that's true
lean otter
it doesn't look correct
sure
marsh shale
but still the above could be true
tall cedar
bc+c+1/bc = 25 and 1/a = 1/36
marsh shale
yeah but a,b,c are all integers
so, this kind of combination won't be possible
only possible scenario other than my equations above is
bc+c+1 = 50
abc = 72
etc
tall cedar
yeah but a,b,c are all integers
how does this conclude abc are not integers?
lean otter
o yes
marsh shale
it doesn't
no proof whatsoever. I just feel it
so, instead of thinking about all possible scenarios, as I suggested, just think of one solution
tall cedar
this just leaves me in more doubt
dry hazel
(1+c)b = 24
abc = 36
36 has factors 1,2,3,4,6,9,12,18,36
24 has factors
1,2,3,4,6,8,12,24
If you look at the first equation c+1 tells you that you probably want factors that differ by 1 so that places a limit on what c can be
wait uh
ywah so c is a factor of 36
c+1 is a factor of 24
the only value for c that makes this possible is 1
actually
theyre all greater than 1 i did something wrong holup
doing math on a phone sucks
marsh shale
as I said, there are many different ways that the equation (bc+c+1)/abc = 25/36 could work, and I'm not saying the only possible way for it to be true is bc+c+1=25 and abc=36. it's one potential way for it to work, so first calculate it, and then go from there
dry hazel
yeah
tall cedar
and again, I know almost certainly that abc=36
alright
i also wanted to ask
when is √x + √y = √(x+y) true?
dry hazel
anyways if we assume abc=36 and bc+c+1=25
(1+b)c = 24
abc=36
so you have that b is a factor of 36, and b+1 is a factor of 24
marsh shale
i also wanted to ask
when x=0, y=0
tall cedar
anyways if we assume abc=36 and bc+c+1=25
(1+b)c = 24
abc=36
so you have that ...
basically we need a common factor of both of them that differ by 1?
dry hazel
yeah and if you look at all the factors theres only a few available choices
tall cedar
when x=0, y=0
so its not true for every value?
marsh shale
of course not
tall cedar
is there a proof or something ?
dry hazel
try squaring both sides
tall cedar
oh 0 = 2√xy
dry hazel
yep
marsh shale
bc+c+1/bc = 25 and 1/a = 1/36
this can't be true because since b>1, c>1, this value will always be between 1 and 2
the first value I mean
which means bc+c+1/bc is always a fraction
unique basalt
how to understand derivatives of e?
flat frigateBOT
cookie2
unique basalt
due to power rule
tall cedar
due to power rule
you cannot use power rule when there is a variable in power
plucky elk
you have a channel already. close one
safe radishBOT
@unique basalt Has your question been resolved?
split ether
Where did you get x^2 from
lapis pulsar
ah u did (x+4)(1+x)
split ether
Where do you see x being multiplied by x?
brittle crystal
safe radishBOT
brittle crystal
so just sub those values in for x?
plucky elk
that's just the start.
once you have an idea for the answer, then you prove it using the definition
brittle crystal
where did you get those numbers from though
brittle crystal
not really i might just watch a few videos on it
plucky elk
yea do that
marsh shale
so it's asking "what's the limit of floor(x), when x approaches -3, from the left side (lower side)?"
which means you're increasing x from -100, -90, ... ,-4, -3.5, -3.2, -3.1, -3.09, -3.0001, -3.000000000000001, etc
but not -3 itself
plucky elk
yes
marsh shale
sometimes both "lower limit" and "upper limit" may exist or only one of them
brittle crystal
yea i understand all that with a graph and stuff but i have no idea what do to with these questions when its worded differently
marsh shale
if both exist, we say the (general) limit exists
brittle crystal
like what you said makes perfect sense
marsh shale
ok, so what's the limit from the question?
brittle crystal
then i look at the question and im lost as to how to start it
marsh shale
just calculate floor function value of each of these values: -100, -90, ... ,-4, -3.5, -3.2, -3.1, -3.09, -3.0001, -3.000000000000001
and see if it converges into a certain number
brittle crystal
so just sub those numbers in for x
marsh shale
yeah
hollow bison
Hello! Got a little problem to solve here and I can't wrap my head around it.
f belonging to C^4[0, 1]. calculate the estimate of the interpolation using hermite interpolation
hollow bison
the problem is already solved, but i still dont understand what's going on
spline interpolation is too much for my small brain...
it's in romanian, but if you need translation i can help
safe radishBOT
@hollow bison Has your question been resolved?
hollow bison
<@&286206848099549185>
still stuck without understanding how can i calculate the error of this hermite interpolation
arctic locust
Could you please translate it (at least the question)?
hollow bison
it says that i need to calculate the error of the hermite interpolation (using Hermite cubic spline)
the function is a 4th order polynom
safe radishBOT
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hollow bison
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viscid spire
I was thinking of doing 1/n which would be bigger than 1/n!. but that diverges
so I don't think that would help me
stray socket
Okay well
I mean it's one of those sum identities
So if you what it converges to you can just say that
Otherwise you can use ratio test
viscid spire
i have to use the direct comparison test though
oh I got it nvm
thanks though
.close
flint abyss
Please help I don’t know what I did wrong
safe radishBOT
Please help I don’t know what I did wrong
flint abyss
Never mind I figured it out instead of pi/3 it was pi/5
Thank you Riemann for the fast reply
.close
viscid tartan
trying to prove sequence sin(pie N/7) dosent converge using subsequence collerary
viscid tartan
need help
need to find 2 sub sequences where they both converge to 2 diff limits
used sub sequnce a_7n = sin(pie N) = 0 for all N? which converges to 0
cant find other sequnce
obtuse jackal
The sequence is periodic and nonconstant. Isn't that simpler ?
obtuse jackal
I guess technically you just use that knowledge to find another subsequence
viscid tartan
yh
obtuse jackal
Since then any sequence of the form (14N + k) will lead to a constant subsequence. That gives you 7 different limit points
obtuse jackal
Since then any sequence of the form (14N + k) will lead to a constant subsequenc...
Then this should be clear
safe radishBOT
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viscid tartan
Yeah thanks
tame charm
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tame charm
How do I solve for p and q?
(Assume that all variables are known except for the primes p and q. Also, N is large, so taking eth roots mod N is infeasible.)
peak estuary
do you have a reason to think this should be easily solvable?
seems like it is essentially equivalent to taking e'th roots in the end
tame charm
It’s a challenge on this website
peak estuary
well it just says rearrange
safe radishBOT
@tame charm Has your question been resolved?
tame charm
well it just says rearrange
What does that mean exactly
the data.txt file has the actual numbers for N, c1, c2, e1, e2
So I have to actually calculate p and q
peak estuary
well rearrange could just mean symbolically
but ok if you actually have to calculate it..... hmm
how big is N
peak estuary
and are e1, e2 "random" ?
peak estuary
well most numbers are coprime to N
but ok hmm
interesting
this feels like it shouldn't be possible
tame charm
Ikr
peak estuary
cause it feels like you should be able to then just calculate any e'th root
tame charm
Yeah
I tried this
Essentially I raised the first equation to e2, and the second to e1
And multiplied them
but what do you do after that…
peak estuary
hmm I'll think about it. but in the end while 70 digits is massive, with a dedicated program it should be doable in reasonable time. although that's clearly not in the spirit of the problem
peak estuary
what the fuck
tame charm
.close
lean otter
Is this symbolically correct?
flat frigateBOT
~Martin
grizzled shoal
as the way you wrote it kinda implies that x=3=-3
also, you don't have to include the +- in front of the square root
at least i never saw anyone else do that
i guess it doesn't hurt
lean otter
Thank you @grizzled shoal
safe radishBOT
Available help channel!
rain flare
How to solve this?
safe radishBOT
How to solve this?
rain flare
It’s a square and there is only one point given
safe radishBOT
@rain flare Has your question been resolved?
rain flare
<@&286206848099549185>
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@rain flare Has your question been resolved?
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@rain flare Has your question been resolved?
lean otter
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lean otter
I have half of the curve, but idk how to incorporate the negative half!
(this is what i have)
yes but im not sure how to incorporate that into a cartesian equation
anyone?
<@&286206848099549185>
marsh walrus
what is with those boundaries
you can get equivalently to x=y^2-4y+1
but the interval has me second guessing
I guess it just comes from the t restriction?
marsh walrus
yes but im not sure how to incorporate that into a cartesian equation
youre losing half of the curve because sqrt is cutting off half of your codomain
well thats a dumb way to say it
you need to discard half of the solutions to make sqrt a function
safe radishBOT
@lean otter Has your question been resolved?
wet wave
Can someone explain the (0, -0.5 + 0.5sqrt(5) part? Why isn’t it (-0.5 + 0.5sqrt(5) , infinity)? Because that’s when the right part becomes 0 while the left part is already positive. If you fill in x = 1000 then the numerator is positive aswell. Is the answer key wrong or am I missing something?
safe radishBOT
Can someone explain the (0, -0.5 + 0.5sqrt(5) part? Why isn’t it (-0.5 + 0.5sqrt...
@wet wave Has your question been resolved?
wet wave
<@&286206848099549185>
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@wet wave Has your question been resolved?
azure basalt
wet wave
Okay perfect thought so, thank you
raven saddle
safe radishBOT
coral ibex
the interval of convergence are the bounds for the values of c that make the sum converge
for example if a random summation converges when c is between 1 and 5 then the interval can be written as 1<c<5
and the radius of convergence is 2 because (5-1)/2 is 2
the way you find the interval of convergence is the ratio test for convergence and then solve for c
let me know if you need any other help
hazy rivet
Did I do something wrong here? I tried so many things couldn't solve the integral so I put it in a calculator and it said it wasn't possible
safe radishBOT
Did I do something wrong here? I tried so many things couldn't solve the integra...
thin bridge
you messed up the derivative of 1/(4x)
rough briar
Can anyone explain how they moved the y^2 in the denominator to the right hand side of the equation?
safe radishBOT
Can anyone explain how they moved the y^2 in the denominator to the right hand s...
wet wave
Multiplied both sides by y^2
rough briar
they multiplied it out of the denominator and then did the same to the other side?
wet wave
Yup
rough briar
oh wow
why didnt they just move it up to the numerator? why did they have to move it to the other side?
plucky elk
why didnt they just move it up to the numerator? why did they have to move it to...
how do you "just move it up to the numerator" ?
rough briar
would you be able to do that by making it y^-2?
plucky elk
yes but that's not helpful
you can try your own way and see if you can isolate for y'
it might be possible, but just not as simple as the solution presented
safe radishBOT
@rough briar Has your question been resolved?
devout harbor
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devout harbor
Is there a formula for this I forget
like what does 1/x^n have to be for something to converge?
is it just n > 1?
lean otter
It's asking if the improper integral $\lim_{n \to \infty} \int^n_1 x^{-1} - x^{-2.5} \dd{x}$ converges or not
flat frigateBOT
kyou
devout harbor
well yes but if x^-1 diverges I don't think it matters yeah?
lean otter
I guess there's only one way to find out for sure
but yes, the linearity property of integrals can be used here
lean otter
like what does 1/x^n have to be for something to converge?
also this is for discrete sums
an integral is a continuous sum
this doesn't apply here
devout harbor
sure
and I did that
I'm curious for 1/x^p
what value of p does something have to be to converge?
lean otter
p > 1
devout harbor
safe radishBOT
plucky elk
where did you get this formula from
this one doesn't have the 15+ all your other answers have. also the 30 that was correct in your other answers became 15
safe radishBOT
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Available help channel!
regal granite
im lost, idk how to do this, i took the second derivative but got a weird answer
regal granite
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scenic gull
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scenic gull
Hi! I'm looking for a way to prove that the line PC bisects the angle APM
In the question I want to prove distance BC = 2AC
And I lost all marks since I assumed triangle APC and triangle MPC are congruent. Which they are if there's a bisection or APM because of the SAS
The only thing we know is that distance 2AP=PB and that AP=PM
safe radishBOT
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scenic gull
.reopen
safe radishBOT
✅
upbeat yarrow
Helllo!
I joined because i wanna get higher grades
can you please explain how to divide integers and negative numbers?
safe radishBOT
@scenic gull Has your question been resolved?
safe radishBOT
@scenic gull Has your question been resolved?
outer lynx
Hi! I'm looking for a way to prove that the line PC bisects the angle APM
Is it a right angled triangle? What exactly is given?
If i dont assume its a right triangle, this is what we have
That gives us two contradicting cases for a few triangles where i can move the arm PM (while constructing the triangle)
Changing angle MPC but not angle APC
So i guess i am forced to assume its a right triangle
Nevermind
I was wrong
scenic gull
You don't get any info on it.
But you could construct a right angle that follows all the rules
outer lynx
Ah, that makes it easier but it makes us prove the thing only for a right triangle
What about a scalene triangle
safe radishBOT
@scenic gull Has your question been resolved?
outer lynx
In the question I want to prove distance BC = 2AC. The only thing we know is that distance 2AP=PB and that AP=PM
Something is wrong
I can have cases where this thing you want to prove is not valid
@scenic gull can we have the actual question? Maybe there is something thats missing
scenic gull
I can see if i can get it when get back tomorrow
scenic gull
Also you get that M is the midpoint between BC
safe radishBOT
@scenic gull Has your question been resolved?
safe radishBOT
@scenic gull Has your question been resolved?
outer lynx
Also you get that M is the midpoint between BC
AHHHH
you can use the Proportionality Theorem
outer lynx
You csn prove AC = 2PM but not BC = 2AC
turbid jetty
for the domain, I am a bit confused on the set notation but
${x\in\mathbb{R}|0<x<1}$\newline
${x|x\in\mathbb{R},0<x<1}$\newline
i am unsure which one is better
safe radishBOT
for the domain, I am a bit confused on the set notation but
$\{x\in\mathbb{R}|0<...
flat frigateBOT
notnick
marsh shale
first one is a wrong notation
turbid jetty
first one is a wrong notation
huh
for some reason my textbook shows answers with that
and its making me confused on the correct notation
solar hazel
umm the first one is fine
solar hazel
and I'd say better
turbid jetty
oh really
solar hazel
yep
safe radishBOT
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gloomy scaffold
A, B and C are on line l and X, Y and Z are on line m. The line segments AY , AZ, BX, BZ, CX and CY intersect
each other at three points P , Q and R. Those points lie on the Pappus line.
If ℓ and m intersect, when does the Pappus line go through the intersection of ℓ and m?
safe radishBOT
A, B and C are on line l and X, Y and Z are on line m. The line segments AY , AZ...
@gloomy scaffold Has your question been resolved?
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lean otter
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quasi bison
,calc 10/3.6
flat frigateBOT
Result:
2.7777777777778
you misrounded @lean otter
rugged radish
what does 2.777 round to ?
lean otter
3
thin bridge
do you know your rounding rules
thin bridge
not quite
thin bridge
why are you using 2.7 when you have 2.7777...
thin bridge
rounding is not the same as truncating
thin bridge
did you say that 2.7 rounds to 2 (to the nearest integer) because you only needed the first number?
lean otter
yeah
quasi bison
2.7 rounded is 3
2.7 rounded to the nearest integer is 3.
but you don't want to round to the nearest integer
and besides, you are dealing not with 2.700 but with 2.777...
quasi bison
it's never just "rounded"
it's always "rounded to [place]"
you want to round to the nearest tenth
lean otter
yup
thin bridge
to consider how you'd round
2.77...
to 1dp, you'd consider whether the bolded digit is greater or equal to 5
lean otter
im so confused
look can i just get the answer i still need to complete this and its due in a few mins
quasi bison
no
quasi bison
we are trying to
thin bridge
we are...
quasi bison
to consider how you'd round
2.7**7**...
to 1dp, you'd consider whether the bolde...
right here
what part of ramonov's message is confusing you?
lean otter
and how do i do that?
quasi bison
you consider the digit after the place to which you want to round
if it is 5 or greater, you round up,
if it is not, you round down
hence why ramonov bolded the 7 in
2.7**7**7777...
do you understand what i said just now? yes or no
thin bridge
yes, good
lean otter
correct?
thin bridge
yes, good
lean otter
.close
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lean otter
Could of just said 2.8
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sacred vale
anyone know
how we start to solve this question
i drew a diagram but idk what to do
safe radishBOT
anyone know
how we start to solve this question
i drew a diagram but idk what to...
swift blaze
can someone explain to me how to factor this out pls
safe radishBOT
can someone explain to me how to factor this out pls
swift blaze
plucky elk
Try x=1
swift blaze
is that the only way to do it
cus i know the answer but i wanna know how to get there
plucky elk
I'm sure you're not supposed to use the cubic formula
But that would be the "algebraic way"
swift blaze
could you tell me the cubic formula anyways
plucky elk
could you tell me the cubic formula anyways
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spare sedge
hi, i wanted to ask
safe radishBOT
hi, i wanted to ask
spare sedge
how do we go from this to this?
bold ferry
both sides were divided by 10
regal girder
$10^{\log_{10}(x)} = x$
flat frigateBOT
Doggo
regal girder
so raising 10 to the power of both sides you get to the next step
spare sedge
i don't get it :/
regal girder
log and exponents are inverses
so raising 10 to the power of both sides, you cancel the log on the left and on the right you have $10^{-1}$
flat frigateBOT
Doggo
regal girder
regal girder
you multiply both sides by 5
once you get rid of the logarithm, it's a regular first degree equation
split fulcrum
I need help with a couple questions,
safe radishBOT
I need help with a couple questions,
split fulcrum
What does Question 7 mean?
next plinth
What does Question 7 mean?
Root is basically the value of x that satisfy the equation
next plinth
Okay
So lets say
x1 = a
So x2 is basically 1/x1= 1/a
Reciprocal means raised to power -1
next plinth
Reciprocal of any value say H is 1/H
next plinth
x2 is reciprocal to x1 or something
Yes correct
split fulcrum
I need help with a couple questions,
so how will we apply this to this
next plinth
Do u sum of root and product of root?
next plinth
Yeah
next plinth
Now u can solve?
next plinth
Consider some variable as root
Wait im joining with laptop my phone is kinda hanging
next plinth
ignore
lets say a , b are the roots
now a + b = 25 / p and a * b = 12 / p
since you know that one of the root is reciprocal of other so we can say that b = 1 / a
put this thing in 2nd equation
a * 1 / a = 12 / p
now you get it right ?
@split fulcrum
split fulcrum
- is multiply?
next plinth
yes
split fulcrum
i dont think i understand the b = 1/a part
split fulcrum
is a + b - 25/p and a x b = 12/p the same?
split fulcrum
do you understand what is reciprocal mean by now ?
i think so
next plinth
what is reciprocal of 5 ?
split fulcrum
its 5 to the power of -1 right?
next plinth
yeah, how much is that ?
split fulcrum
ill check
next plinth
no
similarly its says that one of the root is reciprocal of other
so if we consider 'a' to be one of the root, what will be the other root ?
split fulcrum
b?
next plinth
will it not be reciprocal of 'a' ?
next plinth
yes
so that will be the other root
if you are finding it difficult , we can start again.
split fulcrum
so are we trying to find reciprocal of both roots
split fulcrum
ok
next plinth
one of the root is reciprocal of other root
split fulcrum
Ok
next plinth
so by product of root we have -> a * (1 / a) = 12 / p
next plinth
so by product of root we have -> a * (1 / a) = 12 / p
solve this and get the value of P
split fulcrum
Ok
next plinth
👍
next plinth
YES
next plinth
np
next plinth
are you able to help with a graph question?
not sure.
split fulcrum
it looks like this
next plinth
send the question.
next plinth
okay
OC is basically when x = 0 right ?
C (0, y) and you can get this y if you put 0 in the parabola equation
same is true for OA and OB, if you put the value of y = 0, you get OA and OB
next plinth
point A(x, 0) ?
you can represent point A like this right ? (x, 0)
split fulcrum
yes A would be x = 0
next plinth
yeah
so if you put y = 0 in the given equation
you get the two values of x
smaller one is for A and larger one is for B
split fulcrum
so how do we find value of OC
the graph has no numbers
but wait
it is +9 right
so it goes up to 9?
and that is value for oc?
next plinth
true
split fulcrum
how do we get numbers from that
split fulcrum
get the point A and B
hm this is confusing can we change question
hidden oriole
no way you don't know how to plug in y=0 and x=0
if u are learning this
and do u know Vieta's formuals
formulas
to solve bcd
in an easy way
split fulcrum
no way you don't know how to plug in y=0 and x=0
i only know a
safe radishBOT
@split fulcrum Has your question been resolved?
bold orbit
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bold orbit
How am I supppsed to find y0, after I have found the solution to the differential equation?
wild copper
How am I supppsed to find y0, after I have found the solution to the differentia...
What is the solution?
bold orbit
Plugging for t=0 we get that y0 = c+21/8 => c = y0 - 21/8
But I have no clue on how to proceed from there
safe radishBOT
@bold orbit Has your question been resolved?
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@bold orbit Has your question been resolved?
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@bold orbit Has your question been resolved?
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@bold orbit Has your question been resolved?
inner nest
You can use a graphing software @bold orbit
bold orbit
Yeah but it's asking for an exact value
So there should be an analytical way to find it
inner nest
Well, the value should be a range of values
BTW, @bold orbit I am assuming that you are just starting out on ODEs
bold orbit
Yeah
bold orbit
Well, the value should be a range of values
Idk the answer they give is rather exact
inner nest
TBH, by mean value theorem it should yield a family of solutions for that
anyways
listen
I understand that how they have proceed to the answer
You do a derivative to the solution function
once done, knock me @bold orbit
bold orbit
Ok might take a few minutes though since I am a tad bit busy rn
inner nest
😑
inner nest
@bold orbit
May I have your attention please?
I do not wanna your suffocation to be lengthy
for not finding help
or you can do a VC with me in this server's voice channels
inner nest
Hello? @bold orbit