#help-13
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is the problem in the video different?
are you able to share the video or does it require an account or something?
im unable to share it and any screen recording apps i use do not take in any sound
If you are on windows you can use snipping tool
Also, are you sure it said to add them and not subtract?
that doesnt screen record.
that just takes screenshot
Yes it does
all you need is a screenshot
its a VIDEO not a picture
but you can take a picture of the formula in the video
it doesnt keep the formula up for the whole time
theres limited space yk
but thank you for ur help . ive already gotten the answer
alright
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I need help.
How do you do this question. I am trying to find the answer.
do you have any ideas?
Then you need to put the y intercept into a fraction
im not sure what that means
you do, i agree with that much, i just dont get what putting 'the y intercept into a fraction' means
That what I thought I should do.
im speaking about the wording, the phrase doesnt mean anything how you worded it
but are you just saying to replace b with the given intercept?
Yeah.
thats the way to go indeed
YAY.
now what?
how would we do that?
Just replace the B value with the intercept.
we already did that, no?
yeah.
im asking how we can find the slope after
We need to know the Y values and the X values.
do we have any?
youre throwing around the word intercept a lot
but it doesnt apply
intercept is where one thing meets another, typically when talking about a line, its where it crosses the axes
(-3,-9) is just a point
-3 is a X value and -9 is a Y value.
Now we need the other X and Y.
youre thinking too much here
you dont need the formula m=(y1-y2)/(x1-x2)
you already have y=mx-75/7
yes
just plug the point into it
The X value is just -3.
uh, si?
And the M value is just 4/7.
,w (-9+75/7)/(-3)
you have a sign issue, but otherwise alright
So the answer is -4/7x-75/7
y=, si
Thank you.
๐
I have one more actually.
They didn't give me the X or Y
The X and Y are positive though.
But they are not whole numbers.
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Hi
i have a test and i wanna know if theres ways to know what methods i need to use to solve
how i can tell the methjod i need to use
the topics are direct/indirect variation word problems
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ok wait maybe i lied my friend was not useful ;-;
allow me to resend!
what is the appollonius median theorem and when is it used?
-sigh- if only i can understand the foreign language of maths
the best i can tell you is that "its the formula stated below the words" because i have never seen that applied before
oh ok ty
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HELLO
My attempt
can anyone suggest me ways to find ab+bc+ca
hello
<@&286206848099549185>
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uh.
can anyeone help
i think this is solvable just using a sum and noting the expansion of (a+b+c)^2
like i did get to a point where a^2+b^2+c^2 =(138- (ab+bc+ca))/2
hmm.
maybe do some subtraction.
nah it's not working
II-III and then I+(II-III) would seem to work to get all the squared terms cancelled
ab+2b^2+bc-ac
ah, yeah
thats a bit annoying.
,rccw
ab+bc+ca
hello
i did solve it but i feel there can be a shorter way
its nothing difficult just manipulation of many equations
oh theres a beautiful geometric way as well using cosine rule
@gilded widget Has your question been resolved?
oh yuh
i did find that solution
but i do not understand
the cosine rule
like isaw it on quora
u apparently hav to use cosine rule then
heron rule or smth like that
h3i
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Power is 14
u-sub
Can you explain more?
you can let u=e^-x here
i'd go e^x but yeah
;(
The power is 14, not 4, does that change something?
yeah it does
mb i misread
@vague blade Has your question been resolved?
So, can you help me out?
I'm kinda bad at this and understanding math at english, can you explain how exactly to do it algebraically?
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I need assistance for the formula to determine the primative function of this function
what's giving you trouble on finding it?
Well, the answer is supposed to be 8*sqrt(x) so im wondering if its just rewritten or if theres some other formula
,w integral 1/x^0.5
do you recall the power rule?
?
lemme grab
Note that for
f(x) = x^n
then it's antiderivate F(x) is
F(x) = x^(n+1) / (n+1) +C
so for this situation,
f(x) = 4 * x^(-0.5)
F(x) will be
4 * x^(-0.5+1) / (-0.5+1) +C
and also, for any af(x) where a is a constant
it's antiderivate will be aF(x)+C
so since its divided by 0.5 it becomes 2 * 4 * x^0.5 which is 8squrtx?
yep
Cheers!
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Little help?
start with factorising what u can see already
I'm supposed to put 7 and -x on the left side right?
sure
No becuase of the 7
they look pretty close but not quite there
ok what can u do to simplify the first 2 terms?
take x^2 out
ok nice so what does that look like now?
but i dont have the other part
this right now is
x^3 - 7x^2 +x - 7 = 0
and then u arranged it to
$x^{2}(x-7) + ? = 0$
Dootud
what are we missing from before?
x-7
ok right so it now looks like?
can you group them somehow now?
it might be a little easier to see with the paranetheses around x-7
they are both (x-7)
ok right
I think theres a step regarding that but im not sure what it is
hmm how about this
what u have above is the same as writing
$x^{2}(x-7) + 1(x-7)=0$
Dootud
ohhh
does that look a little bit more familiar?
(x^2 + 1) has to be used right
ye ye
wait
Yes thank you
oh wait
I think there is one part i have a question on
yea i didnt get it right
I have to solve for all real number solutions and I'm not sure how to do that
just stay with this for a moment and it will make sense
so we are solving $(x^{2}+1)(x-7)=0$
Dootud
ok so remember when we are solving, we just need to find when that expression is 0
so that is just the same as finding when either
x-7=0
or
x^2+1 = 0
because 0 x (any number) = 0
oh it uses the i doesnt it
I'm confused
i think i phrased that poorly
what im trying to say is that, as long as one of the brackets is equals to 0
then whats in the other bracket doesnt matter
because 0 x (anything) is just 0
when was 0 being multiplied?
so we are now just solving separately
when is x-7=0
and when is x^2+1=0
or is it just that we only need to use one
remember we are solving $(x^{2}+1)(x-7)=0$
Dootud
for the left hand side to =0, it occurs when
(x-7)=0
or
when (x^2+1)=0
ok nice
thats a good start
ok lets think about x^2+1=0, do u see any problems with this
thats why we didnt use the other ones answer right
so that means the only solution we have is x=7
thanks man, have a great day
u2
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@vestal sandal Has your question been resolved?
What is the span of the columns of A_2
what?
Are they linearly independent
Is what I meant to ask
More specifically, is the third column lin indep
A2 all columns are linearly independent
What is the result of adding the first two columns?
Omg I wrote it wrong ๐
Yeah it's the third column
So the dimension is 2
Of U2
And the basis is the first two columns
For u2m
?
Mhm sounds about right
thank you so much
btw
it is just the first two columns as it is right
for the basis
of U2
and U1 to
Yes, a valid basis will be, for any a and b, { a(c_1), b(c_2) }
Except a, b = 0
So a = b = 1 would just be the two columns
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โ
I donโt think it is. Are you just finding a basis for [B_u1, B_u2] here?
what i did is Ax = b where b is 0
and A
i got
via
a1u1 + a2u2 = b1w1 + b2w2
where u1 and u2 are the columns of the basis of u1
and w1 w2 are columns of basis u2
a1 a2 b1 b2
are the coefficents
which forms the x
a1u1 + a2u2 -b1w1 -b2w2 = 0
Yeah this sounds correct so far
A matrix is comprised of u1 u2 -w1 -w2 x is a1 a2 b1 b2
and then equals to 0
and i found x
and the x I gave above
so its correct?
You can check by seeing if the basis you found is an element of both subspaces
If it is then you know you didnโt make any computational errors
right so if i could form the vector using u1 u2's basis vectors
Yes
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$2x^2 +x-3 =0$
Simon James B
$delta = 1^2 - 4 * 2 *(-3) \newline delta = 1 +24 = 25$
Simon James B
$x1 = (-1 +5) = 2$
Simon James B
$x2 = (-1-5)/2 = -3$
Simon James B
what am i doing wrong here? because these are not the right answers
the correct answers are supposed to be -3/2 and 1
did i get delta wrong or..:(
Nope, โ is correct
ok
Well if a is usually 1, you should be used to dividing by 2
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It said to use a calculator and describe the answer. It became infinity so I assume that means it lacks a value because the graph is unlimited?
,w Plot y=tanฯx
,w int tan(pi x)dx from 0 to 1/2
that would also not exist
but cant you use symmetry and just say its equal to 0?
,w int tan(pi x)dx from 0 to 1
so whats the conclusion chat? is it continously growing therefore lacks a value when going closer to 1/2?
which means it doesnt touch each other because its a tan graph?
,w tan(pi x) dx from -1/2 to 1/2
๐ค that does converge but from 0 to 1 doesnt?
Probably due to the fact that from 0 to 1 is crosses an asymtote
,w int tan x
but you can just use u-sub to convert it into the same integral but from -1/2 to 1/2, no?
quick question . is the 4 the answer or just implying that the righthandside is 4 times bigger?
its the same thing
since 4 doesnt depend on x you can keep it outside of the integral
oh nvm i didnt see the lefthandside 4 ๐ญ
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!status
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
whats the question? is it how many values x has within 0 to 360degrees?
yes and ive checked the awnser but i dont understand how to get to it
put in 1,2,3 ect into both your n equations and take notes of the value if its within 0 and 360 degrees
so like 30 deg + 0 times 180 then 60 deg + 0 times 180 then repeat untill its larger than 360
so 30, 60, 210 and 240, man i went about it so wrong
np
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This more of a physics question but yeah
As we say physics is juste applied maths
So itโs for question b
I know it is in French but all there is to know is that weโre trying to find the differential equations pour the mouvement of the ball
This is what I did
But in the answers they do something completely different but the answers are very similar and only change by a factor of a constant
So the question is where did I go wrong/ why canโt we do what I did
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hi can someone help me check if this is correct
@devout shadow Has your question been resolved?
You timed out, need to open a new channel
@devout shadow Has your question been resolved?
@devout shadow Has your question been resolved?
i swear if 1 person says helpers

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hi
show me your question
1 min
!da2a
i could translate it for him
No need to ask โCan I askโฆ?โ or โDoes anyone know aboutโฆ?โโitโs faster for everyone if you just ask your question! See https://dontasktoask.com/
sure
aha ok i understand the question
Find a simplified form of the summation
thx
in this context i guess it can be simplified
kยฒ + k = k(k+1)
so substitution into this equation
k!(k(k + 1) + 1)
if you expand this it will be
k! * k(k + 1) + k! * 1
since you're multiplying by everything inside the parenthesis
ุงู ุจุชุถุฑุจู ู ุถุฑูุจ ุงู k ูู ูู ุดู ูู ุงูููุณ
egypt
hint: k * (k + 1)! = ((k + 1) - 1) * (k + 1)!
nice to meet u
ty
use google lens to translate it next time :)
nice to meet u 2
Arabic can have different translations
sometimes it can be inaccurate
yeah
oh yeah..
ok so try this
first split this into 3 sums
by expanding and separating the sums
after that use $k^2=(k+1)^2-2k-1$
thank u so much
try it and if anything isnt clear or if you are stuck somewhere along the way tell me
Yes
just like how a(b+c) = ab + ac
No still
what do you feel like doing choose it and ill help
$\sum_{k=1}^n k!(k^2+k+1)=\sum_{k=1}^n k!k^2+\sum_{k=1}^n k!k+\sum_{k=1}^n k!$
from here work with the first sum
you could simplify the k equation first then use the sum
after that you will get a subtraction of 2 summations
which cancels out things
and leaves you with the closed form that you are looking for
tysm
also before you cancel put in numbers to test and see which is cancelled
and after you cancel try numbers and check if they're the answer
that's pretty much it
try that and then if you have questions about it you can tell me
now rewrite k^2 as this
on the right hand side of the last equation in the last line
not exactly
maybe you meant another thing idk but what is written here is incorrect
you need () around (k+1)^2-2k-1
since all of this is multiplied by k!
yes
almost everything is correct
$-\sum_{k=1}^n k!(-1)$ should be $-\sum_{k=1}^n k!(1)$ instead
after you do this simplify as much as you can
so if there are things that will cancel out and so on
don't ping spam
i am here
Sorry
tysm
Let's complete ๐ญ
dw about it
Cuz I tag so much
hmmm how did you get this
you had $\sum_{k=1}^n k!(k+1)^2-\sum_{k=1}^n k!(2k)-\sum_{k=1}^n k!+\sum_{k=1}^n k!k+\sum_{k=1}^n k!$ and then $-\sum_{k=1}^n k!+\sum_{k=1}^n k!=0$ but you forgot $\sum_{k=1}^n k!k$
so what happens to $-\sum_{k=1}^n k!(2k)+\sum_{k=1}^n k!k$?
so how can you simplify more
1 min
alright take your time
ok you forgot k! in the first term of the right hand side but thats just a typo
so from here
Yes
$\sum_{k=1}^n k!(k+1)^2-\sum_{k=1}^n k!k=\sum_{k=1}^n k!(k+1)(k+1)-\sum_{k=1}^n k!=$ ??
k!(k+1)=?
K!2k
no
K!k+k!
can you write it in a form like this
But I didn't understand (3) (2)(1)
So (k(k_1)(k_2).....(3)(2)(1))(k+1)
and what is k(k-1)(k-2)...(3)(2)(1)
K! ๐ญ
(k+1)!=(k+1)k(k-1)(k-2)...(3)(2)(1) and k(k-1)(k-2)...(3)(2)(1) so (k+1)!=??
alright
so now use this to rewrite the right hand side here
ok
so now is the last step
write some of the first terms of each of these sums
and notice that a bunch of terms cancel
write down what remains
and that will be your closed form
yes I will try and tell u
ok
,rccw
what changed from the second line to the third ?
the left hand side is wrong by the way
k!to !
i am only paying attention to the right hand side
you didnt do this
what should i do now
$\sum_{k=1}^n k!(k^2 + k + 1) = \sum_{k=1}^n k!\cdot [(k+1)^2 - k] = \sum_{k=1}^n (k+1)^2 k! - \sum_{k=1}^n k\cdot k! = \sum_{k=1}^n (k+1)\cdot (k+1)! - \sum_{k=1}^n k\cdot k!$
Arya
It's a one-liner. Can you proceed from here @steep wyvern ?
will try
Write down terms from both the Sum and you'll know what to do next
Yes, I can see that
You need to use that relation by writing terms of both the sums and noticing if you can maybe simplify
No
How'd it go from $\sum_{k=1}^n (k+1)\cdot (k+1)! - \sum_{k=1}^n k\cdot k!$ to $\sum_{k=1}^n (k+1)\cdot (k+1)! - 2\sum_{k=1}^n k\cdot k!$
Arya
Or
The one before was correct.. you're just supposed to write out the terms, as in
(2โข2! + 3โข3! + ... + (n+1)(n+1)!) - (1โข1! + 2โข2! + ... + nโขn!)
No
.
So
from this point you need to change indexes
I wanna complete this
.
yeah you're almost there
$\sum_{k=1}^{n} (k+1)\cdot (k+1)! = \sum_{k=2}^{n+1} k\cdot k!$
Axe
You reached here
@steep wyvern And that is correct. Now to proceed from here, you need to write out each term of the sum
there's probably different ways to do it if you don't want to change index
,rcw
But how
so what does $\sum_{k=1}^3 k$ mean for example
it means 1+2+3
Yes
so basically what you do is that you start from the point you set
in this case k=1
substitute this value in what is inside of the sum
then add the next term which will be substituting k=2 instead of k=1
and repeat the process till you reach the upper limit of the index that you set
so for example $\sum_{k=1}^n k^2=1^2+2^2+3^2+\cdot\cdot\cdot+n^2$
so now do the same thing here to write the sum term by term
And the Solution should be 1 side
thats what is meant by term by term
so how do you write $\sum_{k=1}^n (k+1)!(k+1)$ term by term
I didn't understand how to write term by term because of this (k+1)!(K+1)
substitute k=1
thats the first term
then add the next term
you get the next term by substituting k=2
so what do you get if you substitute k=1
in (k+1)!(k+1)
how did you get that
.
??
I didn't understand ๐ฅฒ
my question is like this : what is the value of (k+1)!(k+1) for k=1
And n=?
there is no n here
just forget everything above for now and think about this
It's 4?
think of this as independent of anything above
18
just write it as a sum of terms
so you said that this is 22 . why? because it is 4+18 or in other words it is (1+1)!(1+1)+(2+1)!(2+1)
now do the same thing here
Yes
write it as (1+1)!(1+1)+(2+1)!(2+1)+???
only write the first few terms then ... and the last few terms
there is a small mistake here
you forgot a term between these 2
what comes after (n-1)!(n-1)?
is it really (n+1)!(n+1)
Only n?
No
then what did you mean
no I was wrong
ok so what is your correction
is n-1=(n+1)-1??
no
so what
what you wrote is correct
yeah
alright so $\sum_{k=1}^n (k+1)!(k+1)=(1+1)!(1+1)+(2+2)!(2+2)+\cdot\cdot\cdot+(n-1+1)!(n-1+1)+(n+1)!(n+1)$
now do the same process for $\sum_{k=1}^n k!k$
(1.1 )+(2.1+)....(n-1!.1)+(n!.1)
??
alright
nd then
now $\sum_{k=1}^n (k+1)!(k+1)-\sum_{k=1}^n k!k=(1+1)!(1+1)+(2+1)!(2+1)+(3+1)!(3+1)+\cdot\cdot\cdot+(n-2+1)!(n-2+1)(n-1+1)!(n-1+1)+(n+1)!(n+1)-[1!1+2!2+3!3+\cdot\cdot\cdot+(n-1)!(n-1)!+n!n]=(1+1)!(1+1)+(2+1)!(2+1)+(3+1)!(3+1)+\cdot\cdot\cdot+(n-2+1)!(n-2+1)(n-1+1)!(n-1+1)+(n+1)!(n+1)-1!1-2!2-3!3-\cdot\cdot\cdot-(n-1)!(n-1)!-n!n=??$
you still need one step
just simplify this now
notice that almost all of the terms cancel
only 2 terms remain
work out which 2 remain and you are done
with this i am done
think about it when you want
and i am sure you will get the answer
sure np
tysm
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can someone explain how we get Z here?
is it given? is there a way of calculating it?
normal table
normal table?
normal distribution table
could you exaplain?
you have 95% confidence right
yes
whats the alpha value for it
could you explain to me like i have no idea what i'm talking about
what is an alpha value
this your first time learning this?
yes
okay
and this is a confidence interval
there will be two sides
so you'll need to divide it by 2
i divide 0.05 by 2?
yes
is this statistics
okay but how does this get me any closer to Z?
data analysis
patience
yes
now do you have a normal distribution table
what does this mean
do you know the normal distribution
let's say no
?????
oh dear lord
Normally distribute deez nuts
bro just assume its given
ill take one thank you very much
!
i am so cooked
why are you learning confidence intervals when you dont know what a normal distribution is
no idea to be honest with you man
do you know how to use R? cause i know we're meant to be using that but the professor does not show us how that is involved in the "getting Z process"
i havent used R in months lol
me neither i basically passed the entire subject and then got told a month later "yo by the way you missed this one midterm (i dislocated my leg at the time) and you need to retake it, oh and by the way if you fail this you fail the whole subject"
the first half of the subject is R and excel and data analysis
second half is all discrete math
and i already passed all the discrete math shit
and a good majority of the data anlysis shit
this is the only thing i don't understand
if it helps the professor said we'll be given this on a second sheet of the exam
along with the rest of the"equation sheet" but this is the most relevant thing
then just use that and dont care how you get it
but thats not what your question was is it
dude i'm running off no hours of sleep right now
i appreciate your help a lot though
i'm going to leave for now, and assume that Z is given
thank you for your help
if i need more i'll rejoin
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Could someone help here? I am very confused because there is no x approaching sign
Is the question just wrong?
they probably intend
limit for x to inf
But the question is wrong right?
Becuase you need a limit?
poorly worded question
Should I just assume x-->+inf?
yes
okay thanks
also last question, this doesnt have a limit right? DNE?
well doesnt limit mean approaching? like you cant touch the number?
no
Oh, so its -1?
you can attain the value,
the limit will indeed be -1
alright, I see, and this one would be 0 as the limit to confirm right?
yes
okay thank you so much!!
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I have a set of parametric equation: x=2t+1 and y=2-t, when I graph it, I can't find the limitation and I just have a continious line, so how do I find the limitation?
I know I am supposed to use the orginal parametric and graph x vs t graph and y vs t graph
but even if I graph it, I still don't know what the limit is
Limit of what as what
like on the x and y coords on the x vs y graph
which will be the graph I am trying to get
Do you want a graph or do you want a limit of something
I want the graph, but the graph, which is a line, won't be continious, and I want to figure out from which point to which is the graph
because it will have some limitations because of t
What limitations are there on t
well, you can check on desmos
but i will put a screenshot here
actually nvm
im being dumb
Where did the requirement 0<= t <= 1 come from
yea
i just saw that
i think desmos did it automatically
i didn't see it until now
mb
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quick question, in parametric, does x^2+y^2=t^2?
What was the original question?
wdym parametric?
the question is poorly asked to be honest. If you can express x and y as functions of a parameter (probably just one), you can find lots of parametrizations
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@livid cipher assuming that you meant the previous parametrisation,
$x=2t+1$ and $y = 2-t$, then
$x^2+y^2= (2t+1)^2+(2-t)^2 = 5t^2 + 2t + 5 $
... so, no, it isn't just $t^2$... and it wouldn't be a single circle anyway
because $t$ takes multiple values.
Jay
@delicate yacht Has your question been resolved?
Hopefully @livid cipher will see thus comment, even though the bot thinks I am asking a question...
So...
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the last part
!status
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
3
can you show it?
do you know what is meant with similar in this context?
yeah ik what
i understood
i did...
idk
$$ 4000\pi - 1000\pi + 20^2\pi $$
$$ = 3400\pi $$
can u explain what similar means
hades
does it mean same ratios?
u trolling?
yes
nah i just have a hard time understnading definitions
oh lmao
so @dim gulch what is the ratio of s to r
we are all here to learn ^^
wdym bruv
i am talking about last part
in the second pic
I know
you want to derive that r = 20cm
wait hades
but do the calc the surface area
i see
