you're now doing the numerator right, so you need to write down the combinations where the 2 numbers add up to 3
#help-38
dapper swift
yep!
dapper swift
cool
vestal plaza
cool
Ty so much got it and Ty so much for replying really fast and explaining so well
dapper swift
no worries mate!
vestal plaza
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wise whale
can anybody verify something for me
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can anybody verify something for me
wise whale
i have this question here, i believe i got it right but for some reason, theyre saying im wrong
can anybody explain why im wrong
zinc ginkgo
can anybody explain why im wrong
Show your work
wise whale
alright give me a sec
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riemann
wise whale
so what i did was correct right
zinc ginkgo
,w plot sin^2(x) < 3/4 for -pi < x < pi
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wise whale
ahh i see where i fucked up thank you
zinc ginkgo
,w solve sin^2(x) = 3/4 for -pi<x<pi
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rough goblet
this
zinc ginkgo
.
rough goblet
well there they go
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heavy dawn
hello everyone
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heavy dawn
umm
i wanted to ask, what is the difference between horizontal stretches and vertical stretches in a formula? i find it challenging to find the difference
dapper swift
i wanted to ask, what is the difference between horizontal stretches and vertica...
the trouble is for some functions, like kx^2 or kx^3 and so on, a horizontal stretch can also give the same result as a vertical stretch
but for most functions this is not the case
there's a clear difference when you stretch the function in the top-down direction
versus the left-right direction
dapper swift
ok
dapper swift
1/2 can be a vertical compression or horizontal stretch
it's a vertical stretch
you mean $\frac{1}{2} y = \sqrt{x}$ right?
heavy dawn
? how so?
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higher's secret twin brother
dapper swift
yeah cause $y = 2 \sqrt{x}$
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higher's secret twin brother
dapper swift
as opposed to $y = \sqrt{x}$ for example
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higher's secret twin brother
dapper swift
yeah I'm on laptop
heavy dawn
hmm
why couldnt $y = 2 \sqrt{x}$ be a horizontal stretch? wouldnt a horizontal stretch be 1/2 since 1 > b > 0 ?
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ゼロноль9: The Slothful 天仙
dapper swift
why couldnt $y = 2 \sqrt{x}$ be a horizontal stretch? wouldnt a horizontal stret...
for a horizontal stretch or compression, you are changing x
heavy dawn
so
dapper swift
so $y = \sqrt{2x}$ would be a compression by factor 2
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higher's secret twin brother
heavy dawn
i give x a value?
dapper swift
or $y = \sqrt{\frac{x}{100}}$ is also horizontal
heavy dawn
oh
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higher's secret twin brother
heavy dawn
so
if x is multiplied by a no., it would be a horizontal , but if it were not directly like sqrt x, it would be a vertical?
dapper swift
if x is multiplied by a no., it would be a horizontal , but if it were not direc...
yep!
heavy dawn
oooh
thank you
soo much
ive been struggling in this part for a while
found it to be the hardest part of transformation
dapper swift
yeah it's basically f(ax) versus a * f(x)
(5x)^2 versus 5 * x^2
sin(5x) versus 5 * sin(x)
no worries
first one is horizontal and second is vertical
heavy dawn
ooh
i understand now
thank you
have a good day
or evening
or night
i dunn
thank you though
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cinder lark
I know the formula is P = Ae^-rt
So I do A = 100,000, r = 0.8 , and then t=15 for formula
when i do the present value im doing 100,000 x e^-0.08x15
and im rounding to the nearest cent
i get 30,211.49 but my platform is telling me this is wrong?
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covert swift
hey! how would you find the limit for a question like this ?
ionic pendant
take the integral with the upper bound being a variable, then take the limit as the upper bound goes to infinity
covert swift
i had that idea, im just confused on how to integrate the equation
ionic pendant
u-subtitution
tepid isle
need help
zinc ginkgo
!1c
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zinc ginkgo
Close one of your channels
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tepid isle
Close one of your channels
hey
how to close the other one
@zinc ginkgo apologies didnt get the ping
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rough iron
in this q i got y1 and y2 as opposite and my determinant is 1
rough iron
why is this wrong?
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serene parcel
Hello, I’m needing some help with finding this limit! Currently in calculus 1 and I can’t use L’Hopital. Any help would be great thanks!
serene parcel
After writing things in terms of sin and cos I could only get this far but this is the part I’m confused on
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empty wyvern
To solve this I changed 1 to 4/4, then added 4/4 with the left most fraction, and then cross multiplied with the left side and I got x = 31/21, why is this wrong?
shell quest
To solve this I changed 1 to 4/4, then added 4/4 with the left most fraction, an...
I got 6/31 you prob just made a calculation mistake somewhere
empty wyvern
I got 6/31 you prob just made a calculation mistake somewhere
Oh okay, that's good, so my approach was valid yeah? Would you have done LCM, or done what I did?
shell quest
Yeah your approach seems fine
empty wyvern
I think what I got wrong was I ended up doing 5(-2-7x+4), where I should have added the 4 with da -2 before I cross multiplied
stray drum
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ionic pendant
you have to replace the rounded out digits with 0's...
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sly basalt
is this correct?
won't answer be 60 and not 120
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is this correct?
won't answer be 60 and not 120
lusty delta
is 120
sly basalt
cosπ will be -1 and 180 will divide by 3
lusty delta
cos(0) is 1
sly basalt
yes then 60 × 1
lusty delta
no
sly basalt
180/3=60
lusty delta
cos(pi) - cos(0) = -2
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late laurel
Cos(180-x)
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Cos(180-x)
late laurel
I can write this as
Cos(-(x-180))
But since cos is an even function
Cos(180-x) = cos(x-180)
Is this correct?
vapid lynx
,w cos(pi-x) = cos(x-pi)
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vapid lynx
Is this correct?
sure is
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true flare
this is a perfect sphere so they should all be 4 but they weren't and idk what I should do from here
mellow tendon
this is a perfect sphere so they should all be 4 but they weren't and idk what I...
If you looked carefully at the co-ordinates
mellow tendon
You will see that the most right side is from 4 to -4 only
While the others are from 6 to -6
mellow tendon
Did you see it
mellow tendon
Yeah I think
true flare
this is why I'm actually fearful of even touching my homework
and why I can't do calc 3
and am so afraid of it
do you think there's any way you could help me through my homework?
summer musk
to be fair, that picture and the labeling on the axes was plain shit imo
true flare
agreed
summer musk
I guess the "lesson" to be learned is some psycho may be scaling their axes so always check the numbers lol
true flare
still I can't even imagine doing something like this on my own
tbh I used chatgtp cause I didn't even understand the video
(doing it on my own I somehow got every single one of them wrong, that's like a 1/16 chance)
summer musk
still I can't even imagine doing something like this on my own
tbh I used chatgt...
can you graph these by hand?
true flare
can you graph these by hand?
coordinates? no....
summer musk
at the very least you can type them into desmos 3d to help graph them, but you really should learn to graph them by hand
true flare
I guess you just...add them together and square root them
and set them equal to 0?
idk how to even think about these
v and u
I learned going from rectangular to polar
but not this
ancient escarp
true flare
yo
summer musk
still I can't even imagine doing something like this on my own
tbh I used chatgt...
I graphed a few in desmos3d to help you get started https://www.desmos.com/3d/acvo7rfo62?beta3d
true flare
that's definitely a screw
(I also have no clue how to use desmos for 3d calc where I can't just re-write everything as x and y)
summer musk
it uses u and v just like your problem does
true flare
(it should just be x^2,y,x?)
sorry if I'm being dumb rn
I genuinely have no clue how to do this stuff
so does it recognize u and v
but not anything else?
or do you need to make it recognize it
summer musk
I graphed a few in desmos3d to help you get started https://www.desmos.com/3d/ac...
did you click this link you can play around there
true flare
did you click this link you can play around there
ye, I kinda wanted to also know how to set it up on my own too, but its all good
summer musk
yeah like try making the 3rd one and see what you get
the second one is showing, I made the first one too but turned it off
summer musk
yeah, they do something kind of annoying and make u and v only take values in [0,1]
on mine I increased it to be from -10 to +10 so I could see more of the shape
summer musk
yup
summer musk
there's multiple ways to think about graphing these on paper or mentally
like personally I see cos(u) and sin(u) and think "oh that's a circle in the xz plane
cause it's in the x and z coordinate
then the v coordinate is just kind of "extruding it outwards along the y-axis making the cylinder
summer musk
kind of complicated until you get used to it, if you really want to do it the hard way you can always just plug in specific values
like u=0 and v=0, where will this point be in 3D space?
at the end of the day a surface is infinitely many points so if you get one down, only... infinitely many more to go... lol
summer musk
yeah perfect
so like I was saying, ok that's on a circle in the xz plane, and it is "extruding" along the y axis
so what hapens if you keep u=0 and make v=1
does that point kind of move along to where I said it would?
true flare
1,1,0
and v doesn't depend on u
so we can keep the "x" and "z" coordinates the same
and it moves along "y"
true flare
bro I have a big smile on my face and idk why
summer musk
xD
same...
😮
ok open this one up you can see like instead of picking u=0 I made u this constant
so you can see that line, but then make the cylinder by rotating that line around it instead
cause u was basically an angle
summer musk
I gotta go to sleep it's nearly 4AM here but try to see if you can play around with them a bit
summer musk
like try to see if you can fix one parameter or fix both parameters
fixing both will get you specific points on the surface which might help get a feel for what you're looking at
summer musk
but if you can fix one and then you have a curve, so you can kind of reason what happens as the curve "moves" by changing the other
sorta complicated, this isn't something I was born with but I did a lot of multivariable calculus in my life haha
so don't get too frustrated if it doesn't come too easy but remember you can always build the little pieces like tiny points or maybe make a handful of lines/curves by picking the numbers
and you can always check yourself with desmos 3D to see if that makes sense or not
summer musk
I gotta go to sleep it's nearly 4AM here but try to see if you can play around w...
ok I'm heading out now, just wanted to give some tips before I run. Feel free to ping me if you need help on this sort of stuff in the future even if I'm not awake I can respond in the morning or whatever
true flare
I guess the "lesson" to be learned is some psycho may be scaling their axes so a...
bro you weren't joking
I'm legit suing the company
in no world is that 3
literally touching the edges of the container
(just had to vent a little)
what do I do lord
it says 3
there's no one in the world who would agree
absolutely no one
am I upset for no reason rn?
(if you were wondering, the answer to b is 3)
winged flare
How do I do part a
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How do I do part a
winged flare
Is it a stretch parallel to the x axis scale factor 3
Follow by a translation by the vector
(3 sin theta
0)
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icy salmon
how to prove?
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how to prove?
trail ingot
one direction should be pretty easy
icy salmon
Assume a divides 1, implies there exist integer c such that 1=ac. it is either 1=(1)(1) or 1=(-1)(-1) so a=1 or a=-1
but idk how to prove the other direction
trail ingot
that's just proving 1 divides 1 and -1 divides 1
icy salmon
Assume a=+-1, so a=1 or a=-1. idk whats next
trail ingot
1 divides 1 means there exists an integer n such that 1n = 1
icy salmon
If a=1, implies a(1)=1, then 1 divides 1, or a divides 1
If a=-1, implies a(1)=-1, then -1 divides 1, or a divides 1
is my proof correct?
earnest nymph
this q doesnt make sense to me
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this q doesnt make sense to me
earnest nymph
this is my diagram
rough goblet
yes, your diagram is incorrect
earnest nymph
is smth wrong? cause the ans says x=5, A=62.5
earnest nymph
oh
rough goblet
so you need to subtract 0.5(10 - x)(10) as well
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fresh pendant
how can I draw sequence in desmos? like a_n=n+1, Is it possible?
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empty wyvern
Is there an easy/faster way of soloving the division of polynomials by binomials other than long division?
charred trail
well you can factor x^2+7x+12 in this case quite easily
in general you can also compare coefficients
somber ginkgo
Is there an easy/faster way of soloving the division of polynomials by binomials...
inspection
meager bloom
Is there an easy/faster way of soloving the division of polynomials by binomials...
I don't think so, there is a synthetic division but that is also similar to long division
somber ginkgo
if you do a lot of problems, you'll eventually spot i.e. x^2 + 7x + 12 = (x+3)(x+4) + 0 quickly
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urban copper
For each natural number $n$, $\a_n$ is defined as $a_n = \int_{0}^{\frac{\pi}{2}} x \sin(nx) , dx$.
$\$ Calculate $a_n$.
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urban copper
<@&286206848099549185>
small root
what should I Calculate, the definite integral?
Pretty sure you Calculate the integral
urban copper
how do I do that
small root
And by parts
small root
since n is inside sine
n is independent of x
So FOR the INTEGRAL it's treated as a 'constant'
urban copper
but depending on n changes the value of the integral
small root
but depending on n changes the value of the integral
No, after integration and putting limits you get a expression for a_n in n
urban copper
limits?
small root
And that's why value of n changes the value of a_n
small root
By parts
urban copper
,, \int v du = vu - \int udv
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ඞඞඞ
mild oxide
Fr
urban copper
Try that while treating n as 'constant'
i am trying
small root
i am trying
Ok
urban copper
x = v
sin(nx) = du
small root
You mean x = v and sin(nx) dx = du?
urban copper
yes
urban copper
i am not sure
small root
About wht
small root
du = sin(nx)
A differential cannot equal a function..?
urban copper
,, \int v du = vu - \int udv
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small root
Yea?
urban copper
,, \int_{0}^{\frac{\pi}{2}} x \sin(nx) , dx
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urban copper
x = v
sin(nx) dx = du
urban copper
,, u = \int \sin(nx)dx
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urban copper
this is the hard part
urban copper
u sub
small root
Yeah
urban copper
u = nx
small root
So do that here as well
urban copper
du = nx dx
small root
Yea
urban copper
du = n dx
small root
Yea
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urban copper
do the bounds of the integral change?
small root
do the bounds of the integral change?
They would
But instead of that
Convert back to
X
small root
we were in the middle of ibp
Ye
urban copper
,, u = \int \sin(nx)dx \ v = x \ dv = 1 \ du = \sin(nx) dx
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urban copper
,, \int v du = vu - \int udv
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urban copper
what is the u integral
,, \int \frac{\sin(t)}{n} dt , t = nx \implies \frac{1}{n} \int \sin(t)dt
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small root
what is the u integral
u = integral sin(nx)
small root
-cos(nx)/n
Yeah that's right
urban copper
,, u = \frac{-\cos(nx)}{n} \ v = x \ dv = 1 dx\ du = \sin(nx) dx \ \int v du = vu - \int udv \ \int_{0}^{\frac{\pi}{2}} x \sin(nx) dx = \left[\frac{-x \cos(nx)}{n}\right]{0}^{\frac{\pi}{2}} + \int{0}^{\frac{\pi}{2}} \frac{\cos(nx)}{n}dx
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urban copper
which one
small root
which one
You can only plug the bounds for the non integral term
Since you'd first need to solve the integral to start plugging the bounds
small root
or we will be here ages
I don't have a problem
small root
let me grab paper
Kk
urban copper
same
small root
You can only plug the bounds for the non integral term
.
urban copper
,w cos(pi/2)
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urban copper
,w cos(pi)
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urban copper
I dont think its zero
urban copper
bounds
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small root
Ye
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urban copper
is n
small root
With cos()
small root
Yea but it should be in denominator
small root
sorry for the bad handwriting
No it's good
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urban copper
urban copper
bro
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Rishabh Nirwan
small root
**Rishabh Nirwan**
Yeah but it's in multiplication with these
urban copper
nah I think you are right
small root
I think you're a good example of what doing Linear Algebra does to a man
Like Prof Gilbert Strang
urban copper
wdym
small root
I mean basic algebra becomes hard after tht, Prof also struggles
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urban copper
ye now is corrected
small root
Ye
urban copper
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urban copper
ye I think thats enough
small root
Yea
urban copper
I dont know any harmonic analysis nor number theory
small root
I dont know any harmonic analysis nor number theory
I only know basic number theory, like the basic of the basic
Idek what's harmonic analysis
urban copper
I only know basic number theory, like the basic of the basic
same
small root
which grade u in
12
urban copper
I think this was full of calculation but wasnt particularly difficult
the real exercise was I guess to analyze the behavior of the sine and cosine
for the multiples of 90 deg
small root
Yeah
urban copper
but that is not coming in exam I think so I guess its fine
I am not very invested into math
small root
but that is not coming in exam I think so I guess its fine
You in college?
small root
I am not very invested into math
urban copper
not really, like this is foundation year I have to take so I enter university
small root
not really, like this is foundation year I have to take so I enter university
But I see you doing vector space and all tht??
Isn't tht in college?
urban copper
Isn't tht in college?
depends on your uni I pressume
small root
oh, you saw that?
Yea multiple times, I wasn't able to help cause I only know basics
small root
depends on your uni I pressume
I see
small root
is algebra course I have to pass in foundation year program
Ohh
urban copper
tru
small root
Yeah
urban copper
its fine, u will grasp it in uni
small root
its fine, u will grasp it in uni
Nah I'll probably start that before
Well
I'mma head to bed now
It's 11 pm
urban copper
have a good night sir
small root
GN bro
urban copper
I dont know the difference of ages
small root
I dont know the difference of ages
I wasn't offended or anything
urban copper
I was told to talk respectfully to older ppl than me
small root
anyways, ty for the integral help
Np
urban copper
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vague walrus
S= 1+(2+3)+(4+5+6)+…
S=?
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S= 1+(2+3)+(4+5+6)+…
S=?
vague walrus
i tried forming the nth term but not succesful
wind cloak
isn't that just sum of natural numbers?
vague walrus
no
main sigil
it almost is I think
dapper swift
how is it different?
vague walrus
the ans is n(n+1)(n^2+n+2)/8
main sigil
how is it different?
I believe that they want a formula in terms of n, where n is the number of terms
main sigil
the terms are 1, (2+3), (4 + 5 + 6) etc
vague walrus
yea
main sigil
I'd just find how many naturals are you summing
e.g. for n = 1, you are summing 1 natural
for n = 2, you are summing 3 naturals
for n = 3, you are summing 6 naturals
and then once you find out the formula for how many of them you're summing, you can just plug that in the formula for sum of first n naturals
vague citrus
would that work
main sigil
would that work
Why not?
vague citrus
we don't know a definite value for n
main sigil
we don't know a definite value for n
we can find out how many naturals we are summing in terms of n
and then plug that in the formula for sum of first n naturals
dapper swift
,w (sqrt(8n+1)-1)/2 * ((sqrt(8n+1)-1)/2 + 1) * ((sqrt(8n+1)-1) + 1)/6 simplify
main sigil
i can dm you a huge spoiler
vague walrus
i dont think its forming a simple series
main sigil
firstly, how will that sum look like? What will be the last term?
main sigil
yeah, it can be hard to grasp
dapper swift
okay you can explain to them now
main sigil
but if you do 1 or 2 examples, it wont be that bad
vague walrus
https://math.stackexchange.com/questions/2270348/how-to-find-the-sum-of-the-series-1-2-3-4-5-6-cdots-to-n-t actually theres even a stackexchange thread
main sigil
I see, my approach is same
main sigil
https://math.stackexchange.com/questions/2270348/how-to-find-the-sum-of-the-seri...
Anyway, let's try computing n = 5 now
what will the sum look like?
if you remove the parens
what will be the last term if you remove parens (for n = 5)
vague walrus
12+13+14+15+16+17
main sigil
12+13+14+15+16+17
hmm, hwo did you get that?
vague walrus
manually wrote it down
main sigil
I see
dapper swift
yeah, the partial sums (up to 1 term, up to 2 terms, ... up to n terms) are
1, 6, 21, .....
= 1 * 2 / 2, 3 * 4 / 2, 6 * 7/2
but then the 1, 3, 6 follow a pattern, the triangular numbers
hopefully that helps you see how
vague walrus
dont wanna use triangular numbers
dapper swift
what are you going to use then
vague walrus
nvm
minor charm
hi
main sigil
The key realization is that
S(1) = 1 --> (1 term)
S(2) = 1 + (2 + 3) -->(1 + 2 = 3 terms)
S(3) = 1 + 2 + 3 + 4 + 5 + 6 --> (1 + 2 + 3 = 6 terms)
S(4) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 --> (1 + 2 + 3 + 4 = 10 terms)
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main sigil
dont wanna use triangular numbers
oh, thats pretty bad
minor charm
hello
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To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.
dapper swift
you can get your own help channel here
main sigil
The key realization is that
S(1) = 1 --> (1 term)
S(2) = 1 + (2 + 3) -->(1 + 2 =...
in general, for S(n) there would be n(n+1)/2 terms
S(n) = 1 + 2 + 3 + ... + n(n+1)/2
minor charm
main sigil
which can be computed again using the formula for sum of first n naturals
minor charm
wait
main sigil
<:bearlain:762653539092529182>
any of these channels is free
main sigil
what level math is this
HS level with olympiad-ish taste
but you can get help at pretty much any level here
dapper swift
I mean this is the biggest maths server
main sigil
alr...........
If you need help, go to e.g. #help-43
dapper swift
if you ask on Maths Stack I guarantee you that you'll get closed for 'not providing context' with probability 0.99
somber ginkgo
S= 1+(2+3)+(4+5+6)+…
S=?
\sout{$-\frac{1}{12}$}
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LY
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somber ginkgo
damn it didn't work
vague walrus
this isnt even lowkey true and i dont even know much math
somber ginkgo
**LY**
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(just imagine that's strikethrough like this)
dapper swift
if you ask on Maths Stack I guarantee you that you'll get closed for 'not provid...
their mission is to build a library of quality maths knowledge so they're not really incentivised to cater to the millions of people who have maths questions
main sigil
this isnt even lowkey true and i dont even know much math
that -1/12 is a joke, because through (incorrect) algebraic manipulations, one may derive that 1 + 2 + 3 + 4 + .... (up to infinity) = -1/12
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crisp sinew
hi i need help
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hi i need help
crisp sinew
its high school level
vapid lynx
post the question
crisp sinew
two sec:,)
i tried translating with google translatw
does it make sense in english
vapid lynx
, rotate
solid kilnBOT
vapid lynx
does it make sense in english
it's not clear, can you post the original?
vapid lynx
specifically "regularization" and "zero point" aren't standard
crisp sinew
ohhh
vapid lynx
i think they mean the like: ax+b
are you familiar with the ax+b form? how do you think you would start this?
crisp sinew
a litte, ive had some time off from school, i think b is 2 on the y thing
vapid lynx
zero point is either the x or y intercept
it's f(x) = 0
vapid lynx
a litte, ive had some time off from school, i think b is 2 on the y thing
yes!
so we have y=ax+2
thoughts on how we would get the a?
vapid lynx
it's how fast it goes up
for example if it goes up 1 every 1 change in x, the slope is 1/1 = 1
your function goes up 1 every 3 change in x (between 0 and 3)
vapid lynx
it's 0.33... but just leave it as 1/3
crisp sinew
yeah it made sense thank you:)
vapid lynx
now we need to do part b
crisp sinew
yeah
vapid lynx
we want to find where the line hits the x axis
crisp sinew
yes
vapid lynx
or in other words, we want to find when y = 0 (the height is 0)
so if we have y=1/3x+2 and we want to make y=0, can you find the x?
crisp sinew
im not sure i understand sorry
the height is 0 i get
but how do i find x
: (
what do i do
vapid lynx
well since y=0 they are the same, so I'm allowed to switch between them
crisp sinew
okay
vapid lynx
do you know how to find x in 0=1/3x+2?
crisp sinew
without drawing it out no..
is there a trick or way
wait hold on
on the graph or solving it like an equation?
vapid lynx
equation
vapid lynx
okay, well let's go through it. we want x to be by itself right?
crisp sinew
yes
vapid lynx
so let's get rid of the +2 on its side, how do we do that?
crisp sinew
minus?
vapid lynx
minus what
crisp sinew
-2 on both sides?
vapid lynx
what do you mean?
crisp sinew
like usually theres a "="
vapid lynx
there is one in our equation
vapid lynx
yes, one side is 0 and the other side is the other stuff
crisp sinew
and remove divide by multiplying?
vapid lynx
well we want the x by itself, and right now we have it multiplied by 1/3
but we want it multiplied by 1
so we have to do 1/3 times something = 1
do you know what that number is?
vapid lynx
yes
vapid lynx
so what do we do with this 3 to get the x by itself?
crisp sinew
minus it?
but i have a question
can we only multiply on a single side?
oh nvm
omfg
vapid lynx
can we only multiply on a single side?
you always have to do the same thing to both sides
vapid lynx
no
first we subtract 2 from each side to get -2= 1/3 x right?
then what happens if we multiply both sides by 3?
vapid lynx
yes 1
so -6 = 1*x
so -6 =x
x= -6
your line will pass through the x axis at x =-6
crisp sinew
yess
vapid lynx
which is the nullpunkt or however you spell it
crisp sinew
okey, thank you for patience:,)
do you have more time?
or do i need to ask for help again
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@crisp sinew Has your question been resolved?
teal dome
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true kestrel
,rotate
solid kilnBOT
teal dome
what next?
true kestrel
use the exponential properties
teal dome
wdym?
teal dome
the answer is 2p**2**q**1/3**
how do i get to this
true kestrel
p^(6/3)
and we know (6/3) = 2,
so it's written as p^2
teal dome
ok
true kestrel
& check q from denomintor
true kestrel
quotient rule
and apply this^
teal dome
.close
trim joltBOT
teal dome
and apply this^
ty
crisp sinew
i need help with this
im not sure what to do or where to begin
btw its google translated
sleek canopy
limpid dawn
overcooked
could it be that d(t) is a distance time function
so that d''(t) = 0
which would be acceleration
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@karmic spade Has your question been resolved?
echo dove
Did I solve the problem correctly?
trim joltBOT
Did I solve the problem correctly?
wind cloak
Did I solve the problem correctly?
no
echo dove
Where did I go wrong?
echo dove
Oh okay wait I thought I was supposed to account for the variable in the middle?
wind cloak
Oh okay wait I thought I was supposed to account for the variable in the middle?
of course that's what you have to do
echo dove
wait then what did I do because I thought that that is what I did?
lunar galleon
so you divide both sides by -8 and flip the inequality signs
echo dove
Oh okay one moment please
as in flip their directions or flip weather they are open/closed?
-5/8less than or equal to x<9/8 ?
<@&286206848099549185>
tight rose
what
wind cloak
-5/8less than or equal to x<9/8 ?
-5/8 =< -x < 9/8
you divided by 8
now you deal with the negative as usual
wind cloak
nice
echo dove
thanks for the help!
wind cloak
8/5=<x<-9/8 ?
not 8/5
wind cloak
and also the inequality signs are to be flipped
wind cloak
so I just undo the negative?
eh no
wind cloak
-5/8 =< -x < 9/8
after this just dividng both sides by -1
you'll get 5/8 >= x > -9/8
the inequality signs will flip
echo dove
okay
got it
so if it has an or equal to sign then it will always be flipped or what are the conditions for flliping the inequality?
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@echo dove Has your question been resolved?
river willow
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river willow
i want to find all homomorphisms from Z6 to Z15. i came across this but i don't uh understand how they got f(1+6Z)=a+15Z
wooden plover
it's an hypothesis
let's suppose that 1 is sent to whatever a
let's see what a can be
that's what they're doing
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autumn trout
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vagrant marsh
i say 1
autumn trout
why
vagrant marsh
how did you get 0?
autumn trout
inf isnt in the range 0<=t<inf therefor 0 elsewhere applies
vagrant marsh
its implied
autumn trout
how is it implied