Hello?
#help-38
winter tendon
haughty solstice
The slope between two points is basically the difference of their y coordinates divided by the difference between their x coordinates
Like if suppose (x1,y1) and (x2,y2) are two points
A line joining these 2 points wud b having a slope
Which is equal to
(y2-y1)/(x2-x1)
winter tendon
Is that -3+-1/r+5
winter tendon
Ok so is ut -4/5r
winter tendon
Yeah that’s what I had
haughty solstice
Is that -3+-1/r+5
Jst equate this to the given slope
U'd b getting the ans
winter tendon
-10+2r=-20
winter tendon
-2r/2r=-10/2
haughty solstice
Instead, u can simply shift the terms
haughty solstice
It shud b -10 - 2r
Like 20-10=2r
haughty solstice
-2r/2r=-10/2
I din understand wht u did here
winter tendon
Well like, -2r/-2r=-10/-2=5
haughty solstice
It shud b jst 2 in the denominator on the lhs
-2r/-2=-10/-2
Bro instead, there's a simple thing u can do
winter tendon
Like what
haughty solstice
winter tendon
Oh
I see
Well they I did it was how I was taught but that definitely was easier
How would you solve for this question y/4+1/12=y/3-1/6
haughty solstice
What is it on the RHS ?
winter tendon
haughty solstice
Firstly
Try to get rid of the denominators to make it easy
Or otherwise u can always shift the terms
Wud u mind if i explain it on a call ?
winter tendon
I don’t think that can work I people around me atm
haughty solstice
Um okay np
winter tendon
well the common denominator for all of them is 12 right?
haughty solstice
So yeah
Jst multiply the whole eqn with the greatest common denominator to get rid of the fractions
haughty solstice
well the common denominator for all of them is 12 right?
Yess
winter tendon
Ok, so I got 3y+1=36y-12
haughty solstice
U messed up with the RHS bro
haughty solstice
See
12(y/3-1/6) = 4y - 2
daring karma
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daring karma
so im not sure if i did this correctly, but i think the points are coplanar because i got 9 for the volume
daring karma
whats 1%23<3,45
huh
daring karma
is that supposed to help me with the problem?
fast reef
for what is this formula A=b-cd
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for what is this formula A=b-cd
iron ferry
fast reef
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coral crystal
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wraith hinge
how do I do part B?
do you know how to normalise a vector
wraith hinge
I do not
normalising a vector means making it a length of 1
so what do you is get the length/magnitude of a given vector and each entry by that
can you do that for me and what do you get
coral crystal
so do you just use elementary operations on each column?
wraith hinge
normalising a vector means making it a length of 1
so what do you is get the le...
if you have a vector (2,0,0) with a magnitude of 2 just divide 2 on each entry so (2/2,0/2,0/2)
coral crystal
if you have a vector (2,0,0) with a magnitude of 2 just divide 2 on each entry s...
ok but is my goal to make (1,1,1) ?
wraith hinge
your goal is to normalise v1
coral crystal
so for the first column I would just divide each entry by -1?
wraith hinge
is -1 the magnitude of v1?
coral crystal
no sorry sqrt 3
wraith hinge
so what is e1
coral crystal
so I would get (1/sqrt3, -1/sqrt3, 1/sqrt 3)
wraith hinge
yes
wraith hinge
e1 is a normalised vector now, you can check by getting its magnitude
coral crystal
which is sqrt 3 its magnitude
wraith hinge
,w magnitude (1/srt(3), -1/sqrt(3), 1/sqrt(3))
solid kilnBOT
wraith hinge
this is e1
coral crystal
so is it 1 or the 3 arguments ?
wraith hinge
so is it 1 or the 3 arguments ?
e1 is a vector
wraith hinge
sure
coral crystal
how can I find the proj v1 (v2)?
wraith hinge
e1 is a vector
with a magnitude of 1
coral crystal
to find projv1 v2 should I do (v1*v2)/magnitude of v1 mult by v1 ?
like so if it make sense
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thick cliff
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thick cliff
i keep getting 18.24 for a
my working out
<@&286206848099549185>
anyonw
here
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dense hornet
i have no idea what im doing wrong; ive redone this problem like 20 different times and every single time it's wrong 😭 if you need any clarification with my work lmk
dense hornet
just found an issue in my last step i forgot to square 2sqrt(3) but the answer i got is still wrong
..figured it out, the question needed decimal form
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wraith hinge
How do I simplify this?
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How do I simplify this?
wraith hinge
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How do I simplify this?
Please show the original problem, exactly as it was stated to you. A picture or screenshot is best.
If the original problem is not in English, then post it anyway! The additional context might still help helpers help you. Do your best to translate.
trail obsidian
Could you show the question?
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Show your work, and if possible, explain where you are stuck.
left oriole
there's no h in sqrt(x^2 - 1)...
wraith hinge
there's no h in sqrt(x^2 - 1)...
There is with the difference quotient should I show you?
left oriole
yes please show the original question
left oriole
well the answer is just sqrt(2x - 1) surely
night zodiac
There is with the difference quotient should I show you?
Can you show your full work?
night zodiac
How do I simplify this?
How did you get this?
left oriole
but then there's no difference quotient
night zodiac
If the difference quotient has an h, where is your h?
trail obsidian
Naww
night zodiac
Oh you plugged in h = 0, that's why it was weird
trail obsidian
Bro probably tryna find the derivative
wraith hinge
How do I simplify this?
Then multiply by the conjugate and then the final steps is this
trail obsidian
wraith hinge
Bro probably tryna find the derivative
I am lol but I have to find it using the different quotient, can’t use chain rule
night zodiac
Bro probably tryna find the derivative
The definition of derivative is the difference quotient plus the limit part
left oriole
Bro probably tryna find the derivative
thus why asked "show the original question", there's no way that $\lim_{h \to 0} \sqrt{2x - 1}$ is the original question
solid kilnBOT
Bungo
trail obsidian
Is it the derivative of √(2x-1)?
night zodiac
And the next step?
wraith hinge
Is it the derivative of √(2x-1)?
Yes but I get that ugly square root at the bottom and don’t understand how to add square roots
wraith hinge
And the next step?
Multiple by the conjugate
trail obsidian
Ok ok
night zodiac
Multiple by the conjugate
It helps if you show all your work
trail obsidian
Where is the h
wraith hinge
I left it out because I’m trying to find the top portion first, the f(x+h) - f(x)
It’s back here
wraith hinge
Then that's it, plug in h = 0, simplify
Yes but that was my problem idk how to simplify the denominator
I can’t just add the roots right?
night zodiac
Well you have $\frac{2}{\sqrt{2x-1} + \sqrt{2x-1}}$
solid kilnBOT
dldh06
night zodiac
I can’t just add the roots right?
Sorta, can you simpilfy something like $\sqrt{x} + \sqrt{x}$?
solid kilnBOT
dldh06
wraith hinge
Idk I have no idea what to do when it comes to square roots
night zodiac
$1\sqrt{x} + 1\sqrt{x}$
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dldh06
solid kilnBOT
dldh06
wraith hinge
Ohhhh okay. Why is the reason we take the number out?
night zodiac
You don't
I never took a number out
Anything times 1 is just itself
Same logic with x, that's the same as 1x
night zodiac
**dldh06**
But notice how we can do something like $u = \sqrt{x}$ and just say $\sqrt{x} + \sqrt{x} = 1\sqrt{x} + 1\sqrt{x} = 1u + 1u$
solid kilnBOT
dldh06
wraith hinge
2u?
solid kilnBOT
dldh06
night zodiac
So plug that back in
You can apply that same logic to your problem because you have $\sqrt{2x-1}$ in the denominator
solid kilnBOT
dldh06
night zodiac
So you can do $u = \sqrt{2x-1}$
solid kilnBOT
dldh06
wraith hinge
**dldh06**
Anytime I find a problem like this, is this always true?
night zodiac
Yes
Yes because anything times 1 is just itself
So if you have (1145616511x + 126655321), you can say 1 * (1145616511x + 126655321)
wraith hinge
Thank you!
bright pine
$$ \text{ if } \lvert x - 1 \rvert < \delta \text{ Then } $$
$$ \lvert x^{2}- 1 \rvert < \frac{1}{2} \text{ f(x) = }x^2 \text{ find delta so that epsilon = 1/2} $$
How to solve this?
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Nerdy_Coder
zinc ginkgo
yes it does
bright pine
why?
The left side is undefined for some things
so for some values of episilon abs(f(x) - L) < Epsilon isn’t true
zinc ginkgo
The left side is undefined for some things
Left side of what and what things
bright pine
When you solve for x
and you get something like this
sqrt(limit - episilon) < x < sqrt(limit + episilon)
Some values of epsilon make the left side undefined
therefore this can’t be a proof for epsilon > 0
zinc ginkgo
https://www.milefoot.com/math/calculus/limits/DeltaEpsilonProofs03.htm
Where is there a limit on epsilon in this link
You mean L?
bright pine
yea
zinc ginkgo
You should read the whole link. They address the sqrt(25 -eps/3) being undefined for eps>75
bright pine
You should read the whole link. They address the sqrt(25 -eps/3) being undefined...
So that wasn’t proof fir epsilon > 0?
zinc ginkgo
they replaced eps2 with eps in the delta definition since eps is arbitrary
zinc ginkgo
eps > 0 and eps2 = min(eps,72)
if eps>72, then use 72 for eps in the proof
Specifically in the definition of delta
bright pine
if eps>72, then use 72 for eps in the proof
How does that help 73?
bright pine
They address that in the link
Man how is student expected to infer all this?
zinc ginkgo
Man how is student expected to infer all this?
Same as any other math, do a lot of problems
The numbers in your problem should be a lot simpler, but the ideas are the same
bright pine
I spent hours on stuff like this and I still didn’t understand
versed bloom
im struggling sm rn pls someone help!!
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im struggling sm rn pls someone help!!
Show your work, and if possible, explain where you are stuck.
versed bloom
i just got to the general term and made the variable equal 0 but its giving me a decimal
and r cant be a decimal
im so confused
wispy sparrow
Show your work, and if possible, explain where you are stuck.
lets see it then
versed bloom
how do i put x^2 into the equation tho
cause i cant put multiply it into the brackets cause exponents are first right?
wispy sparrow
you can add it with the other x'es on the 4th line
and just leave it alone until then
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Yustiban
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fierce shuttle
I got 2 wrong does anyone know what 2 I got wrong
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I got 2 wrong does anyone know what 2 I got wrong
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dull badge
reviewing my math notes and this doesn’t make sense to me! could you please help me figure it out 🙏🏻
random crest
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dull badge
the x intercept is when y=0, ie x=0
yes bur what’s the logic behind like!! writting it out that way?
night zodiac
yes bur what’s the logic behind like!! writting it out that way?
Which part?
night zodiac
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dull badge
like when finding the x intercept why was x + 3y = 0 written out as y + 3 (0) = 0
night zodiac
like when finding the x intercept why was x + 3y = 0 written out as y + 3 (0) =...
For one, you miswrote it
dull badge
I did!! How so?
night zodiac
It was x + 3y = 0 -> x + 3 (0) = 0
night zodiac
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And
night zodiac
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night zodiac
It was x + 3y = 0 -> x + 3 (0) = 0
Not y + 3 (0) = 0
night zodiac
No
dull badge
Ok I think I understand better
night zodiac
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dull badge
To find the points u graph w/, u substitute in the 0 because that’s what it equals?
and for the x you substitute it into the y, and to find the y u substitute into the x?
night zodiac
What exactly do you mean?
dull badge
like to find the coordinates to graph the x + 3y =0
i substitute the x w 0 to find the y coordinate and the y w 0 to find the x coordinate
??
night zodiac
Do you know why 0 was substituted?
night zodiac
Nope
dull badge
oh can u explain it to me 😭
night zodiac
Do you know what the x and y intercepts are?
dull badge
um they both end up being 0 at the end right?
night zodiac
No
dull badge
what do they end up being then?
night zodiac
I'm just asking for the general definition of x and y intercepts
dull badge
OH
um
no I don’t know the definition
wait
they’re when the line crosses the x and y line right?
night zodiac
Wdym x and y line?
night zodiac
Those are called axes (singular is axis)
night zodiac
Yes so the x intercept is when it crosses the x axis, and y intercept is when it crosses the y axis
For it to be an x intercept, what is the one special feature it has?
night zodiac
More specifically, the special feature lies within the coordinates
For it to be an x intercept, which coordinate is special and why?
You said the x intercepts crosses the x axis
dull badge
OH
so if I’m trying to find the x/y intercepts of a line to graph an equation… the x will always have a 0 in the y coordinate and the y will always have a 0 in the x coordinate— which is why they’re substituted w 0 to find the other coordinate?
night zodiac
Yes
So that's why with x + 3y = 0, to find the x intercept, because the y coord is always 0, you plug in 0 for y
And you get x + 3(0) = 0
So x = 0
night zodiac
Yes
dull badge
and then I do the same for the y right? (0) + 3y = 0 —> 3y = 0 —> y = 0
night zodiac
Yes
dull badge
and then the x coordinate wld be 0 so it’d be (0,0) again and both the (0,0)’s together wld be an ordered pair?
night zodiac
Yes
dull badge
thank you!! <3
night zodiac
thank you!! <3
If you're done with the channel, close it using, .close
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manic jackal
Is there a way to show that this polynomial is always different to 0?
last rune
for any value of a, you have 56
it never passes through (0,0)
or simply if you recognise this polynomial P(x) as graph, then y intercept is 56
I don’t know if that’s you are looking for
modern path
I think he means to proof that the polynomial never equals to 0 ( have no real roots )
manic jackal
Not a proof really, just to justify that this polynomial is never 0
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zinc ginkgo
Not a proof really, just to justify that this polynomial is never 0
You can find the relative minimum and show that it's on the same side as the positive y axis
Assuming a>0
manic jackal
That would require to find the derivative which would result in a polynomial of grade 5
And checking where it is equal to 0 is a bit difficult too
manic jackal
You can find the relative minimum and show that it's on the same side as the pos...
If I find that minimum, can I inmediately say f(a) > minf(a), for all a∈Dom(f)?
royal remnant
If I find that minimum, can I inmediately say f(a) > minf(a), for all a∈Dom(f)?
you have to show that it's an absolute minimum rather than a local minimum
zinc ginkgo
That would require to find the derivative which would result in a polynomial of ...
Does it factor
zinc ginkgo
you have to show that it's an absolute minimum rather than a local minimum
Yes thanks for the correction
royal remnant
Does it factor
i havent done it but it should, because i see you can factor out an 'a' and it looks solvable to me
factor out an a from the derivative, that is
manic jackal
Does it factor
manic jackal
i havent done it but it should, because i see you can factor out an 'a' and it l...
how to solve a fourth grade polynomial aaa
royal remnant
just plotting this function on desmos, it looks like it has messy roots so i think you have to use a calculator
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silver obsidian
Is this method right or wrong?
trim joltBOT
Is this method right or wrong?
silver obsidian
I was thinking 1/2 of 3u instead of 3/5.
trim lichen
why multiply by 5 tho
silver obsidian
Like I assume the swimming pool is 5 units
trim lichen
ok, and?
you will get that the children's pool is 3 units and the wading pool is 3/2,
but you are not asked to give the size of the wading pool in these units of yours.
silver obsidian
so like 3/10(wading) pool of the swimming pool
silver obsidian
you will get that the children's pool is 3 units and the wading pool is 3/2,
but...
yes
that's right.
trim lichen
literally you could just remove that multiplication by 5 step entirely and your answer and process would have been correct
simple jackal
Here, V is in R^nxn and orthonornal, and z is in R^n
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Here, V is in R^nxn and orthonornal, and z is in R^n
marble wharf
matrix vector multiplication
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glacial bluff
How is the answer for b) 6,300,000?
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bitter haven
Hmm it should’ve been converted to scientific notation if anything
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safe apex
matrix help
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matrix help
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mortal magnet
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@mortal magnet Has your question been resolved?
mortal magnet
kk
wraith hinge
Since this isn't an integer type question, we can first apply few elimination method, okay?
Tho we might solve it too later
wraith hinge
Tho we might solve it too later
(just to get self satisfaction)
mortal magnet
Since this isn't an integer type question, we can first apply few elimination me...
Okay
wraith hinge
Aight so, can you right down the domain of x in each terms?
wraith hinge
Works
mortal magnet
mortal magnet
Aight so, can you right down the domain of x in each terms?
Idk
mortal magnet
Yaa
mortal magnet
Greater than 0
mortal magnet
Greater than 2
mortal magnet
Same ?
mortal magnet
3 to infinity
wraith hinge
Wrong
mortal magnet
Oh
wraith hinge
It is nowhere mention that x is integer
mortal magnet
Ohh
mortal magnet
A and b ?
mortal magnet
Yuup
wraith hinge
This is the clearest I can get , sorry
What about if you multiply it with 2?
(To remove that rootx from term)
mortal magnet
ooh
wraith hinge
Yuup
The only difference between c and d is that, it doesn't contain integer 3 (if we only look at integers)
So if we are able to prove smth for x=3 then we can make our final decision
mortal magnet
but then i would need to multiply all with 2
wraith hinge
but then i would need to multiply all with 2
Yeah
wraith hinge
This is the clearest I can get , sorry
Or maybe, try to send the -3 and stuff term to RHS
And then try checking x=3
wraith hinge
so i can just substtue 3 for x
Yes
wraith hinge
No worries
mortal magnet
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fading pebble
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fading pebble
Show that the identity is true for all n in N
sterile egret
!status
trim joltBOT
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
From what I tried with different values it’s not true
I have begun but got stuck
Because I tried with n and k = 1 and it’s true
But for all other values it’s not
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queen linden
So I was solving apsolute of 2x-2= x + 1 and I got x1=3 and x2= - 3 but when I check it obv ain't - 3. Can anyone tell me why?
zenith orchid
I believe you solved it wrong.
You most likely forgot to distribute the negative sign
|2x-2|=x+1 comes into two equations
2x-2=x+1 and 2x-2=-x-1
so try those equations and tell me what you get
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limpid sinew
help regarding metrics
Im looking at the metric $$d(x,y)=min{p(x,y), 1}$$
with $p(x,y) = |x-y|$.
for the triangle inequality there should be 4 cases if im not mistaken or not?
triangle equality being: $$d(x,z) <= d(x,y) + d(y,z)$$
$$ 1. p(x,z), p(x,y) and p(y,z) < 1$$
$$ 2. p(x,z) >= 1 and p(x,y) and p(y,z) < 0 $$
$$ 3. p(x,z) >= 1 and p(x,y) or p(y,z) >= 1 $$
$$ 4. p(x,z), p(x,y) and p(y,z) >= 1 $$
solid kilnBOT
Eichhorst
limpid sinew
@quartz yoke its any metric room
since you asked earlier, I saw online people only assume for d(x,z) meing 1 or p(x,y) and then looking at the minimal case for the opposite site but this 4 case thing should workout as well
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limpid sinew
<@&286206848099549185>
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mystic veldt
please someone explain the last point
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please someone explain the last point
mystic veldt
ik if a,b,c =....a_n are in AP then, reciprocal of this equation (this last one a1a2+a2a3...) simplifies to n-1/a_1*a_n
but i dont know about this one
wraith hinge
ik if a,b,c =....a_n are in AP then, reciprocal of this equation (this last one ...
Bhai a1, a2, a3.. HP mai hai
@mystic veldt proof
mystic veldt
Bhai a1, a2, a3.. HP mai hai
are ha idhar HP mei hai mai dure ques ki bat kar rha tha
wraith hinge
cheating karta hai beta
😂😂
wraith hinge
are ha idhar HP mei hai mai dure ques ki bat kar rha tha
Han wo dekha baadme
wraith hinge
cheating karta hai beta
Proof kon yaad kre 😂😂
Par aata hai mujhe
1/a1 qur 1/a2 AP mai hai
Commondifference aise krte krte sabka same
(1/a1) - (1/a2) = d
Aisa hi sabka kr
mystic veldt
mystic veldt
straight lines pe hu, abhi toh rev kar rha
wraith hinge
chem me chemical equilibrium
Sahi hai, hame hi bihot slow padha rhe
Gaseous khatam hone aya 🙆
mystic veldt
mystic veldt
physics me mere yaha, circular pe hai😥
wraith hinge
kya hoga hamara
wraith hinge
physics me mere yaha, circular pe hai😥
L
Chal channel band krde warna bolne aa jayege
wraith hinge
ek toh saale rote bhut hai
😂😂😂, fr
mystic veldt
rules na tutuna chahiye inka
wraith hinge
rules na tutuna chahiye inka
Wahi
wraith hinge
Aur spammers aiwe hi ghumte rehte unko kn
mystic veldt
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mystic veldt
abey chal na mere ko bata rha
mystic veldt
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prime wharf
Hello I need help with figuring out how to do this question with the power rule method:
prime wharf
i get how to do it with the quotient rule but cant figure out how to get the same answer with the power rule
nimble stone
split the fraction and do the division
$\frac{30x^8}{5x^2}-\frac{6x^2}{5x^2}+\frac{x}{5x^2}$
solid kilnBOT
AℤØ
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languid pawn
x = csc (n) and y = csc (n) + cot (n) and if n = 2 get the tangent line
languid pawn
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shy valley
. how do you graoh the ampolitude for y = 1/3 sinx
cold cipher
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cold cipher
Where did the infinity go
zinc ginkgo
Where did the infinity go
did you find the antiderivative?
cold cipher
14/((p-1)ln^(p-1)x)
zinc ginkgo
do you know $\lim_{x \to \y} \frac{1}{\log^a(x)}$ for $a > 0$?
solid kilnBOT
riemann
cold cipher
no
Not really sure how ln/logs and infinity work. I thought ln(infinity) = infinity since it just seems to get bigger
cold cipher
Looks like it would be infinity
zinc ginkgo
**riemann**
that's not what this is
flat wing
What am I doing wrong for 7?
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What am I doing wrong for 7?
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humble thistle
Linear algebra
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Linear algebra
humble thistle
Deduct a formula that allows you to calculate the area of the parallelogram that has as adjacent sides the vectors u and v in R3.
mmm
I know the formula
its ||u x v||
But I didn't deduct anything
<@&286206848099549185>
mystic surge
did u make some draws??
humble thistle
I know that u x v is a vector that is orthogonal both to u and v
but I don't know how to graph it
lunar moat
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lunar moat
lunar moat
Not exactly sure what im doing wrong with this one
lunar moat
Im unsure of what this is asking? I think its asking what the slope is and the lowest slope goes first?
lunar moat
So D, E, C, A,B?
austere cedar
Yeah that looks right
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grave spruce
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grave spruce
confused with a 😭
if i wanna show d divides s
then i gotta say s = q * d + r, where r = 0 no?
austere cedar
Why don't we go with the hint first?
We can identify a few nice algebraic properties of S
grave spruce
Why don't we go with the hint first?
I'm not sure how to prove this part haha
naww i dont get it
austere cedar
Np. So S is:
Closed under integer multiplication,
Closed under addition
That is, if you take some integer k, and some member s, such that s is in S:
Then ks is also in S.
Can you prove that?
grave spruce
Can you prove that?
i dont think so
logically it makes sense but
idk how i would prove it
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naive crest
the trick is that when you use the division theorem to write s = qd + r
you have 0 <= r < d
but d is the smallest positive integer in S
so if r is in S, r is 0 and d | s
s is in S, show that qd is
now, can you see why r is in S
?
shrewd anvil
how they getting 6t/1?
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how they getting 6t/1?
tight moth
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naive crest
suppose you have such a relation, and take a pair (x, y) such that xRy
xRy means yRx since it's symmetric, but then x = y since it's also antisymmetric
so each element can only be in relation with itself, which is needed since it's reflexive
so yes, it's the only possibility
daring brook
I’m in excel trying to find the least squares regression line given 7 points and the trendline ability isn’t working
red loom
do the residuals follow a pattern themselves? iirc you cannot use least square regression and a linear trendline if the residuals follow a trend
daring brook
Uh…
I’m not sure
I can send the points
I think I’m doing this wrong
I’m supposed to have A = E *concentration +y-int
And I have 7 absorbances and concentrations
I just
Need to find a way to get the slope of these 7 points
Idk I’ll figure it out
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wanton pike
I have a pretty simple trig problem, on a 2D unit square with the bottom left at (0,0) and top right at (1,1) lives a vector labeled C with direction defined by X and Y which would be evaluated with your standard sine and cosine. Y can't be negative, meaning in this case a rotation can only be within 180 degrees. How do I find the raycasted position from any X position of C? C is to be defined at position (v, 0) where v is in [0, 1]
wanton pike
I got pretty close with secant and cosecant, but I just could not find myself in getting the sides to merge as I was doing the top side, left side and right sides seperately and I was sure there was a better way, so here I am
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wanton pike
didnt want to have to do it but <@&286206848099549185>
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safe shuttle
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wicked drum
3nπ/4 might not be in principal value range ie (-π,π]
you should write 2kπ + 3nπ/4 = π/4 and check from the options which n gives you integer k
safe shuttle
sorry i still dont get it?
safe shuttle
3nπ/4 might not be in principal value range ie (-π,π]
i get this part,
safe shuttle
you should write 2kπ + 3nπ/4 = π/4 and check from the options which n gives you ...
but where did the 2k come from? and what is k?
safe shuttle
yep
wicked drum
if you add any integral multiple of 2π to an angle you get the same value for sin and cos
wicked drum
wait im still explaining
safe shuttle
oh ok
wicked drum
so cos pi/4 is same as cos(2pi + pi/4)
or cos( 6pi + pi/4)
or cos (-4pi + pi/4)
you get this part right?
any integer * 2π
safe shuttle
yea
is this what u mean?
so the answer is n = 3
since it goes 1 full cycle
and ends at pi/4
wicked drum
yes
wicked drum
just remember n and k are to be different
dim quartz
inverse functions and min and max of linear regression
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stoic iron
Its <@&268886789983436800>
floral maple
Does anyone know how to solve this problem?
"Find all Natural numbers n less than 100, such that n^122 - 96*(n^81) ends in the digits 77."
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Does anyone know how to solve this problem?
"Find all Natural numbers n less th...
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floral maple
<@&286206848099549185>
brazen trout
Is this a gdc question
wraith hinge
In a mixture of soda and alcohol, there is 84% alcohol. After replacing the mixture with 15 liters of pure alcohol, the percentage of soda in the mixture becomes 14%. the quantity of mixture is.
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grave lake
help
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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
1
long basin
Look at it
If it's being "sheltered" by the square root, it's inside
So in this case it's gonna be inside the square root
$c = \sqrt{x - y}$
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Umbraleviathan
long basin
What's the inverse of the square root
long basin
Okay so you need to get these inverses down then
Raising something to the second power (squaring, ^2) is the inverse of a square root
So square both sides
grave lake
okay
long basin
Then solve for y
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fading kraken
Suppose $q \in \mathcal{P}(\mathbb{R})$. Prove that there exists a polynomial $p \in \mathcal{P}(\mathbb{R})$ such that
$$
q(x)=\left(x^2-3 x\right) p^{\prime \prime}(x)+(2 x-3) p^{\prime}(x)+p(0) .
$$
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sadkid
fading kraken
!status
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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
1
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fading kraken
<@&286206848099549185>
fading kraken
<@&286206848099549185>
sweet hare
what does P(R) mean for this problem
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wraith hinge
if $a \propto b$ then $b \propto a$
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if $a \propto b$ then $b \propto a$
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wraith hinge
so trying to prove the above statement which describes the symmetry of proportionality
unsure on how to proceed. I tried examining something with the contrapositive but I can't see it
stoic iron
Unpack!
stoic iron
And you want b = (something)a
stoic iron
Why not?
wraith hinge
idk why I was under the assumption of the constant needing to be an integer lol
stoic iron
It can be any non zero real
wraith hinge
List the elements of set {6a + 10b: a, b ∈ Z}:
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List the elements of set {6a + 10b: a, b ∈ Z}:
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wraith hinge
<@456226577798135808> Has your question been resolved?
no
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mystic surge
List the elements of set {6a + 10b: a, b ∈ Z}:
do u have other redaction about this problem, is not clear for me
wraith hinge
It's a question in foundations of mathematics
List the elements
I would usually write a and b as a=n and b=-2n and write the set like that
However what if a is 0 and b is 1
I'm unclear myself
mystic surge
ping me in 10 mins pls
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stoic trout
List the elements of set {6a + 10b: a, b ∈ Z}:
a and b could be an infinitely long list of integers
the set "{6a + 10b : a, b ∈ Z}" contains an infinite amount of possible values because a and b could be any integer
so it's not possible to list all elements in the set unless you provide more information
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potent smelt
are you allowed to use a calculator
then you can solve it like that
divide by x
take x terms to one side
divide by 4/3
reciprocate
take to the power of 3/4
i think
but u get the point
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stray junco
for number 21, can 6(2-2y) equal 5(2y-2) ????
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for number 21, can 6(2-2y) equal 5(2y-2) ????
cyan zinc
stray junco
solve each equation
it’s like ya
i think
solving equations with the variable on each side
night zodiac
for number 21, can 6(2-2y) equal 5(2y-2) ????
Yes it can
Have you tried solving for y
stray junco
i think y= 1
night zodiac
Yes
verbal cloak
why can it be said that lim x-> 0+ of xlnx = 0* infinity
fiery goblet
you're not talking about ln(0), you're talking about what happens to ln(x) as x approaches 0 from the right side
try graphing it on desmos
fiery goblet
xlnx, not just lnx
verbal cloak
it approaches 0?
fiery goblet
wait no
sorry
it is -infinity
0 * -infinity
x is 0 as x approaches 0^+
and lnx is -infinity as x approaches 0^+
limits dont care about what happens at ln(0), you're just talking about what happens as you approach 0 from the right side
verbal cloak
i see thats why im confused
because text book says 0* infinity
but when i did the limit i got -infinity
fiery goblet
that was just their way of explaining indeterminate form maybe? because you need to convert it to the form: infinity/infinity to solve it using l'hop
fiery goblet
as l'hop only works on quotients
fiery goblet
wdym?
fiery goblet
for xlnx?
verbal cloak
and i was from its the opposite lim x-> inf f(x)=g(x) = 0
wait
when i simplify it L'hopitals doesnt work
still indeterminant
im completely lost on this limit now lol
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Show your work, and if possible, explain where you are stuck.
fiery goblet
you need to get it into the form inf/inf
$\lim_{x \to 0^{+}} \frac{\ln{x}}{\frac1x}$
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saad
fiery goblet
then just l'hop
verbal cloak
yeah
ahh
i made a mistake and did a different converseion
that led to
x/1/lnx
from 0/0
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ty
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