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#help-42
young cypress
How this step was derived from previous one?
calm coralBOT
How this step was derived from previous one?
rough moss
The first two terms that they wrote for f'''(x) can be added together (giving a coefficient of 6). Then entire expression is multiplied by 1/2 y^2.
calm coralBOT
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remote mural
Can someone help me We denote by T (n) = {m β N | m divides n} the divider set of n.
Find a necessary and convincing condition on m, n β N with m ΜΈ= n such that T (m) β T (n)
gilded.
calm coralBOT
Can someone help me We denote by T (n) = {m...
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calm coralBOT
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full rain
How can I show for these functions if they are injectiv, surjective or both?
calm coralBOT
How can I show for these functions if they are injectiv, surjective or both?
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full rain
<@&286206848099549185>
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hearty star
calm coralBOT
hearty star
can anyone help me find the moment in this
there is no pivot (axis), there so im confused
calm coralBOT
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hybrid flint
How do I solve x-floor(x)=1/floor(x)?
calm coralBOT
How do I solve x-floor(x)=1/floor(x)?
hybrid flint
doesn't it have infinite solutions
rancid smelt
doesn't it have infinite solutions
It does
clever latch
x cant belong to (0,1)
hybrid flint
what does that mean
clever latch
cause if x is between 0 and 1 then floor(x) = 0, then you can't divide by it.
rancid smelt
can x be negative?
I dont get any negative solutions for this tho
hybrid flint
so floor(x) is less than x which means left side will be positive and 1/negative is negative so it won't work
if x is negative
so do I just write the answer as x=floor(x)+1/floor(x)?
rancid smelt
x= i+ 1/i, where i>=2 and i is an integer is what im getting
calm coralBOT
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lavish burrow
hey
lavish burrow
how to a find the y-intercept?
i've got the turning point coordinates
(1, 4)
oh wait nevermind
sub x for 0
y intercept = 6
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bronze comet
work done is w = F *s when the force is in the same direction as the displacement. if the force as a function of F(s) and the work done between the points s = a and s = b is defind by
work = integral from a to b F(s) ds
a block is pulled over the floor by a rope attached at the bottom of the block and goes the a pulley 1 m over the ground the F is constant and equal 10 N but the horizontal component of the force that does work
let x be the distance from the block to the point 1m under the pulley
calculate the work that be done to move the block from x=10 to x = 10
Hint: start by calculating the magnitude of the horizontal component of the force when the block is as in the figure
calm coralBOT
work done is w = F *s when the force is in the same direction as the displaceme...
calm coralBOT
snow lake
bronze comet
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bronze comet
you have an open channel <#907022703230345237>
i literallly cant find it
omg im sorry :C
bronze comet
i can only see this one
frank gull
this channel is closed but it hasn't become available to the public yet so nobody will see this. I recommend that you open an new channel
snow lake
Anyone help me with this?
bronze comet
i think something bugged
cuz i made a 1 new one and it just said i already had this one open but i cant close it
frank gull
okay so now all of hte channels are closed. I would open a new one π
bronze comet
so i just write a new one now?
frank gull
head to #help-44ο½stanley-π²-v2-dans π
you can click the direct link of my message
ugh nvm someone beat you to it
bronze comet
ill just open one when it becomes available ^^
frank gull
bot's taking a little bit more time than usual lol
calm coralBOT
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normal scroll
probability question i had for homework, I'm stuck
calm coralBOT
probability question i had for homework, I'm stuck
normal scroll
This is discrete math
I'm going to try posting how I went about it in a min or two, hold on
nvm, i have absolutely no idea what the hell im doing
like i got this for probability for rolling a 3 and 4
but it most definitely isnt the right answer
calm coralBOT
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normal scroll
this is what i got
calm coralBOT
@normal scroll Has your question been resolved?
normal scroll
I'm going to assume it has been "resolved", but if anyone has any disagreements with my solution, please let me know
.close
sinful forge
the price of an item is P before the price increases by p%.
a. Find a formula for the new price S
b. Solve the formula in a in consideration to p.
c. A car cost NOK 350,000 in 2021. The same type of car cost NOK 390,000 in 2015. Use the formula in b to find the growth factor and the price in percent
sinful forge
please show me so i can understand this task with not just the answer
calm coralBOT
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sinful forge
<@&286206848099549185>
slim galleon
a. S = P+ P*p
S/P = 1 + p
p = S/P - 1
p = 390000/350000 - 1
@sinful forge this should be it I think
sinful forge
i got the answers its supposed to be here, i just need someone to explain how i can get to the answer
calm coralBOT
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slim galleon
@sinful forge 39/35 ~= 1,114
sinful forge
<@490928916207370250> 39/35 ~= 1,114
yeah i knew how to do c, its just that i need an explanation on how to do a and b so i can do it myself
slim galleon
just input the values
P is the old price, S is the new price
oh ok I see what you mean now
we look for p, so we can divide both sides by P
simplify
You can do the same thing with /100 to have the percentage in the equation
@sinful forge
slim galleon
Yup.
If you divide something by itself, the exact same thing, it's always 1(in real numbers at least afaik)
sinful forge
If you divide something by itself, the exact same thing, it's always 1(in real n...
alright thats good to know, but would you be able to explain the P * p/p how that becomes just p in the next picture?
and also on the last picture it seems to go from 1 to - 1 on the other side, have you just done -1 on both sides?
talking about the 2 last pictures^
sinful forge
does p * p only = p? i thought it would be p^2
slim galleon
sinful forge
does capital letters have a function to them?
slim galleon
the original task you gave I admit has a confusing notation
P and p, for the purpose of understanding this, are completely something else
sinful forge
i feel extremely dumb looking at the first part
slim galleon
sinful forge
does the longer line in the middle only seperate?
slim galleon
sinful forge
right yeah that made it a bit easier so youβre only taking 20/5 = 4 and 5/5 = 1
correct?
slim galleon
You don't have to multiply 5 times 4
you can just cross out the 5
I wrote it down to illustrate
sinful forge
what do you mean by that sorry
slim galleon
sinful forge
yeah that one is easy to understand
slim galleon
it's all the same thing
sinful forge
right i understand it now i think
sinful forge
so this is x*y/x meaning you can cross out x, and on the bottom part its x/x meaning you can make it one making kt y/1 =y
correct?
slim galleon
yup
sinful forge
alright that clears up a lot
slim galleon
remember, we can do this because we are multiplying here, but you CAN'T do that when adding stuff
just for the future
sinful forge
could you give an example
slim galleon
sure
sinful forge
just to make sure im understanding
sinful forge
what would you do in that case
slim galleon
best to look at it this way:
sinful forge
would 4+a/4 just be the answer as simple as that?
slim galleon
BUT, another thing, you can split fractions like this, if adding/subtracting is at the top, not the denominator
sinful forge
right so you seperate the wholes or do you always seperate even when its not a whole one
?
and would 1 + a/4 be the best answer to give instead of 4 + a/4?
slim galleon
4 + a/4 is incorrect
slim galleon
when you spell it out, 4 plus a divided by 4, its the same as 4 divided by 4, and a divided by 4
sinful forge
arent they technically the same thing tho?
slim galleon
they are
sinful forge
right so its only wrong with the fact that its not the simplest you can make it?
slim galleon
yeah, you can simplify that way, and it's a technique useful in the tasks like the one this thread started with
it's a tool that could help you simplify something in the future
just keep in mind
sinful forge
yeah it will probably help a lot
slim galleon
you can't do THAT, if adding/subtracting is at the bottom, you can't split them
sinful forge
alright
if it was 4 + a/4 you can but not like it is in the picture
and im guessing if its 4+a/a you can do a/a + 4/a or 1 + 4/a?
slim galleon
it's the most important tool in math, you get this right everything else will be a breeze
if you don't, everything will be hard and confusing
sinful forge
yeah it all makes so much more sense to me now looking at the tasks
sinful forge
if you don't, everything will be hard and confusing
was gone from school for a couple months because i was at the hospital and missed out on all algebra, and now the teachers are expecting everyone to understand everything so its been pain trying to get back but this really helped me so much
slim galleon
well if you need help again you know where to find us! good luck. make sure you make up what you missed
oak kiln
how should I go about computing this? I tried to compute them piece by piece and ended up with -β^β
oak kiln
is there a rule that states what i should do when encountering this situation?
sick plover
There's L'H but i wonder if there's a way without it
oak kiln
There's L'H but i wonder if there's a way without it
how could I use L'H rule here, it seems so complicated to apply
sick plover
Take the natural log
Then you can use log properties
Then exponentiate the answer to undo the log
oak kiln
something like this?
oak kiln
i think i would get something like this
so then if i put this to limit, i would get 1/0, which means this is undefined?
or is 0 * -inf still a indeterminant
sick plover
What makes you think lim x->0+ 1/xlnx is 1/0
oak kiln
What makes you think lim x->0+ 1/xlnx is 1/0
because x->0+, so lnx -> -inf
and then i have 0 * -inf = 0 (?)
sick plover
0 * β is indeterminant
oak kiln
i see
oak kiln
0 * β is indeterminant
i tried taking another LH and...
oak kiln
oh right
sick plover
Yep
oak kiln
let me try that
oak kiln
oh right
so then it computes to -inf
and then i take this back into original, e^-inf
result is 0?
sick plover
Wait a second
Back near the beginning
ln(ln(x))
What happens when you directly sub in 0
Or, numbers close to 0
sick plover
oak kiln
π okay that was more straight forward than i expected
tysm
i will close this now
.close
calm coralBOT
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remote mural
help
jade quartz
hint: multiply everything by cosine of x
carmine sorrel
this is my problem I am doing, not sure what I am doing wrong
how did you get csc(u)?
remote mural
how did you get csc(u)?
sin^2(u) * cos^2(u) divided by sin(u)
carmine sorrel
I'm not sure how you got that
remote mural
is it 1/cos(u) after you do sin^2(u) * cos^2(u) divided by cos(u)
thats how I got the thing above
golden raptor
1/cos(u) isnt csc
golden raptor
is it 1/cos(u) after you do sin^2(u) * cos^2(u) divided by cos(u)
btw it should be addition here
not multiplication
carmine sorrel
is it 1/cos(u) after you do sin^2(u) * cos^2(u) divided by cos(u)
it should be addition between sin^2 and cos^2
calm coralBOT
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fervent pine
fervent pine
<@&286206848099549185> can anyone help...? i actually need the answer its kinda urgent...
oblique current
Why is it urgent?
fervent pine
i have to submit it to school tmrw and its currently night in here so i was wondering if anyone of you are free to help...
sorry if i was being rude...
calm coralBOT
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tall talon
i can help you with the questions
@fervent pine
in the first part you need to use pythagoras theorem
tall talon
<@&286206848099549185> can anyone help...? i actually need the answer its kind...
now you have found the radius, in second part you need to use pythagoras theorem again
in third part you need to use the property of where tangents are equal in length
fourth and fifth part only use the meaurement of sides which you have solved for in upper question
hope it helps
calm coralBOT
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torpid brook
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jade quartz
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calm coralBOT
β
jade quartz
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next wren
can someone pls help me to prove this by induction
calm coralBOT
can someone pls help me to prove this by induction
@next wren Has your question been resolved?
prisma cliff
@next wren
calm coralBOT
@next wren Has your question been resolved?
cobalt sapphire
what kind of formula or operation do i use to get this set [ -1 , 0 , 1 ]
to return further from 0 negatives, but still 0 or 1 if 0 or 1
example result being [ -2 , 0 , 1 ] or with a slightly different formula [ -3 , 0 , 1 ]
would really prefer not using if then statements and something that fits into excel if possible
cobalt sapphire
also if theres a seperate way to keep -1 and 0 the same but change the 1 to a 2 or something higher, that would work too cause i just multiply by -1 before and after
tall mason
i think you can transform piecewise functions into functions with sign() functions
and other such things
but if you give as input [-1, 0, 1] always
then you can just make the function be [-k, 0, 1]
[k, 1, 1] * input
cobalt sapphire
yes always will enter -1 or 0 or 1 into the cell
but i want a way to make all the -1s be more negative or the positives to be more positive
like a scalar across the entire category
i probably mislead into thinking it was a matrix
tall mason
k(sign(x) - 1)/ 2
if 0 gives 1 in the sign function
then this works
oh no wait
it gives 0 for 1
dang
cobalt sapphire
i google sin stuff rq i think that is good lead but i forgot all about it
tall mason
the only way i know how is to use a if statement
calm coralBOT
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cobalt sapphire
ok i got this (((X-1)^2)*-1+1)
f(1) = 1
f(0) = 0
f(-1) = -3
idk how to get -2 but i think thats ok for now
maybe if i can figure out sin stuff, then i can do the whole shift to sin and mess with it then unshift for answer like i did with -1 then +1
thats good for now tho tyvm π
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remote mural
ΞΌ
remote mural
whats the difference between mu and x bar?
ΞΌ xΜ
arent they both means?
nvm
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calm coralBOT
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carmine sorrel
looks fine
coral pendant
Hey, i'm really confused on how to do this problem... could someone work through it with me
icy cairn
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dawn nova
I'm trying to find out what exponential function a(b)^x would pass through the points (2, 16) and (5, 1.024).
dawn nova
I've been trying that, the numbers I've gotten haven't matched up though.
thin tendon
show it
dawn nova
I got to 16=a(b)^2, and then I turned that into 16(b^2)=a
im not sure if that's correct though
dawn nova
I was trying to follow some tutorial where they set up a different coordinate point like that
thin tendon
you dont know algebra?
dawn nova
not this specific one, no
thin tendon
wdym not this specific one
like
if you were to do
ax=b
solve for x
what would that be?
dawn nova
x=b/a ?
dawn nova
I divided by the a to separate it from the x,
thin tendon
yteah
thin tendon
I got to 16=a(b)^2, and then I turned that into 16(b^2)=a
so here
to solve for a
just divide by bΒ²
its not "this algebra"
its the same
as you already know
dawn nova
I'd have 1.024=a(b)^5
dawn nova
1.024=(16/b^2)(b^5)
thin tendon
yeah
dawn nova
I'm not sure how to begin solving though
thin tendon
simplify the fraction
$1024 = \frac {16 \times b\times b\times b\times b\times b}{b \times b}$
potent lotusBOT
Benjamin
dawn nova
so I'd end up with.. 1.024= 16(b^3) I think
thin tendon
yeha
divide by 16
either you ask a calculator
or you know that
1024 = 2^10
and 16=2^4
so 1024/16 = 2^(10-4) = 64
thin tendon
is that a point for the thousand or is that a decimal?
either way it doesnt change much
dawn nova
decimal
dawn nova
I got the cube root of 0.064
thin tendon
its 0.2
dawn nova
i think it's 0.4
thin tendon
yeah 4
potent lotusBOT
Benjamin
dawn nova
so then 16=a(0.4)^2
0.4 squared is 0.16
16/0.16 is 100
so I think my answer is 100(0.4)^x
thin tendon
yeah
calm coralBOT
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distant musk
Find x
f(x^2)=3
calm coralBOT
Find x
f(x^2)=3
distant musk
Is the answer just sqrt{3}?
vale haven
Yes π Solve for x^2=3
worldly pilot
What did they do to get the start of the third row?
calm coralBOT
What did they do to get the start of the third row?
worldly pilot
When they removed the 9x from outside of the brackets
what steps did they take
<@&286206848099549185>
calm coralBOT
@worldly pilot Has your question been resolved?
leaden thunder
chain rule
leaden thunder
is that all
what is too hard about chain rule?
leaden thunder
if its too difficult then dont bother helping
do you want chain rule explained?
worldly pilot
no ik the rule
still dont know what they actually did
saying ''chain rule'' doesnt help at all
leaden thunder
When they removed the 9x from outside of the brackets
that answered this
if you don't know why, ask
leaden thunder
if its too difficult then dont bother helping
don't be rude
worldly pilot
still dont know why they removed the 9x from outside of the brackets
worldly pilot
i can see that
still dont know why they removed the 9x from outside of the brackets
worldly pilot
still dont know why they moved the 9x from outside of the brackets to inside the brackets
leaden thunder
(ab + ac) = a(b +c)
do you understand this?
worldly pilot
yes
leaden thunder
both brackets have a different power
does that answer this question?
worldly pilot
not rlly
worldly pilot
tried for 20 mins and it didnt work
thats why im here
bro i literally have the answer
leaden thunder
multiply this through
.
worldly pilot
i just want to know why
leaden thunder
(ab + ac) = a(b +c)
this is all that's happening. b = 3x + 1 and c = 9x
figure out what a is
worldly pilot
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calm coralBOT
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coral crater
https://study.com/cimages/videopreview/videopreview-full/ywmikyff25.jpg how do you get the function for just the right curve?
calm coralBOT
https://study.com/cimages/videopreview/videopreview-full/ywmikyff25.jpg how do y...
@coral crater Has your question been resolved?
coral crater
<@&286206848099549185>
calm coralBOT
@coral crater Has your question been resolved?
coral crater
Like this one
remote mural
you want the function to be zero elsewhere?
The simplest way to do it is restrict the domain of the function to (2, infinity)
coral crater
Is there a equation for just the curve tho
remote mural
Okay I can tell you a way to get it
we have, $y = \frac{x+4}{4x^2 - 4x +8}$ , $y (4x^2 - 4x +8) = x+4$
potent lotusBOT
Buraian
remote mural
now expand everything in the last equation, then use the quadratic formula to solve for x
use the assumption $x>2$ in simplfiying , you should get your desired equation
potent lotusBOT
Buraian
coral crater
Ok I will try, thanks
remote mural
,w solve y(4x^2 - 4x +8)= x+4 for x
potent lotusBOT
coral crater
Lol what does this mean
remote mural
scrap what I said. It doesn't work I think.
there is a simple way
define a new function, $$g(x)= \begin{align} 0 , x<2 \ f(x) , x \geq 2 \end{align}$$
potent lotusBOT
Buraian
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
remote mural
@coral crater does this solve your problem?
coral crater
No I need the function without the restrictions :(
oblique current
If you care about the rules maybe we'll care about helping you
leaden thunder
you have a channel already
close one
what is this n supposed to be?
oh it's the number line n
that's how you read number lines.
they use x instead of n
mortal wigeon
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mortal wigeon
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flat laurel
Given a number n, and suppose if we wanted to list all the possible divisors
flat laurel
it's always the case that we need to iterate and check over the all numbers possible less than n
remote mural
yes
you can also only test for prime divisors, then build all divisors from those
you can also modify the upper bound to be sqrt(n), as there is only ever at most one prime divisor above sqrt(n)
flat laurel
say we have the number 144, is it possible for normal person list all the possible factors in a reasonable time ?
remote mural
yes, very possible
find all prime divisors first
actually, find the prime factorisation
remote mural
yup thats correct
flat laurel
so i need to find all the pair factors?
remote mural
now any divisor of 144 must 2^a * 3^b where 0β€aβ€2 and 0β€bβ€3 (by fundamental theorem of arithemetic)
remote mural
so i need to find all the pair factors?
factors made up of 2s and 3s
flat laurel
so the as and bs are the factors ?
flat laurel
since it's a variable of two
and we don't have enough number of equations.
the solutions should be found out manually right ?
flat laurel
2^a * 3^b = 144
remote mural
equals?
flat laurel
so any pair (a,b) must satisfy 2^a * 3^b ?
remote mural
wdym "must satisfy"
flat laurel
must be in the form
remote mural
any divisor of 144, yes
remote mural
np
calm coralBOT
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soft tundra
If your offset lifting from the opposite side of a barbell how could you determine the amount it would weight by where you pick it up
soft tundra
Let's say you put 45 pounds on the end of a barbell then you lift from the other side where the plate goes. What would you use to figure out how much the bar weights to lift from the side with no weight on it
calm coralBOT
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edgy sable
.open
this is already the solution but how do you get it, am i wrong or i dont know. I dont know how to get that 0.342
Image
edgy sable
golden raptor
this is already the solution but how do you get it, am i wrong or i dont know. I...
plug into a calculator ?
im not sure I understand the question
edgy sable
im not sure I understand the question
that will not be 0.342
calm coralBOT
@edgy sable Has your question been resolved?
edgy sable
<@&286206848099549185>
golden raptor
<@&286206848099549185>
?
whats your question
you can plug that equation into a calculator and it will give 0.3415...
which rounded is 0.342
edgy sable
you can plug that equation into a calculator and it will give 0.3415...
i dont know then what i am doing wrong
golden raptor
i dont know then what i am doing wrong
what did you type into your calculator
edgy sable
what did you type into your calculator
1 - ( (192/10) / (200/10) )
golden raptor
where did you get 192/10
you realize thats notation for nCr
theres no division
its 192 choose 10
,w 1 - ((192 choose 10)*(8 choose 0))/(200 choose 10)
potent lotusBOT
edgy sable
,w 1 - ((192 choose 10)*(8 choose 0))/(200 choose 10)
thank you that was my question
golden raptor
π
calm coralBOT
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onyx quiver
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gusty heron
I donβt understand what it means when it says exact perimeter. I used the formula P=16cm(3.14 +2), from the formula P=R(pie+2).
If anyone can explain the formula needed to get the exact perimeter, i would be very grateful.
calm coralBOT
I donβt understand what it means when it says exact perimeter. I used the formul...
@gusty heron Has your question been resolved?
gusty heron
<@&286206848099549185>
raven vessel
I donβt understand what it means when it says exact perimeter. I used the formul...
Use the real Ο I guess
Unless it's no calc
In which case I have no idea
gusty heron
Unless it's no calc
When you say calc do you mean calculus?
raven vessel
calculator
calm coralBOT
@gusty heron Has your question been resolved?
gusty heron
calculator
I am allowed a calculator
Also i tried that, yet it still gave me the same half check thing
calm coralBOT
@gusty heron Has your question been resolved?
rancid wave
calm coralBOT
rancid wave
i think im doing it wrong
do i need to include all the 1,2,3...14 generators?
or the divisor of 15 only?
<1>, <3>, <5>?
i get it
.close
fervent matrix
calm coralBOT
fervent matrix
Hello, i need to define gβ(t) with the partial derivatives of f, anyone have an idea ?
Iβm not sure this is right as i havenβt fully used the fact g(t) =f(2t,1+t^2)
No what i wrote is definitely wrong in fact
Does this make any sense ?
<@&286206848099549185>
calm coralBOT
@fervent matrix Has your question been resolved?
potent igloo
I can barely read this
nova fractal
calm coralBOT
nova fractal
Basically we simplify the equation on numerator. X-8
Then denomator
Then we have
X-8
X+5
remote mural
@modest viper third times the charm lol
nova fractal
<@960097812211728394> third times the charm lol
Sussy baka
Then we have two possible soulutions to >=0
X-8>=0
X+5>=0
X-8<=0
X+5<=0
modest viper
<@960097812211728394> third times the charm lol
HAHAHAH
remote mural
X-8
X+5
You can directly test for the values that x can accept to suit the inequality by setting both the numerator and the denominator equal to 0, so you have 3 intervals of $(-\infty, -5), (-5, 8), (8, \infty)$ that you can pick values from to verify the inequality
potent lotusBOT
β‘LexQaβ‘
modest viper
ya but if you find that confusing you can just draw a graph
calm coralBOT
calm coralBOT
Available help channel!
drifting vortex
for b is this correct?
calm coralBOT
for b is this correct?
remote mural
,w xy'+y=xy+x
potent lotusBOT
remote mural
y depends on x here
drifting vortex
y depends on x here
ye
is it wrong?
y is a constant here
since we integrating with resp to x
remote mural
but if you differentiate the rhs, you need to use the product rule on yx^2
drifting vortex
but if you differentiate the rhs, you need to use the product rule on yx^2
not if y is a constant
cuz 2 x 1/2 is 1
so yx
remote mural
looks like an integrating factor problem
drifting vortex
looks like an integrating factor problem
rip
drifting vortex
looks like an integrating factor problem
lemme have a go with dis
drifting vortex
that might work
for an example like this tho, they didnt use int fac
remote mural
the rhs has no y in it
you have the de d/dx (xy)=xy+x. making the substitution z(x)=xy(x), dz/dx=z+x
then this you can do by integrating factor or otherwise
drifting vortex
then this you can do by integrating factor or otherwise
does nothing here
goin in circles
remote mural
you have the de d/dx (xy)=xy+x. making the substitution z(x)=xy(x), dz/dx=z+x
do this then
,w z'=z+x
drifting vortex
wat da hell is d almebrtyewdg equation
remote mural
dunno
remote mural
remote mural
I dont think you can without knowing what y is
calm coralBOT
@drifting vortex Has your question been resolved?
drifting vortex
I dont think you can without knowing what y is
my head is fried
feel like im going in circles
plz tell me im on right track
leaden thunder
don't you just use integrating factor
drifting vortex
don't you just use integrating factor
It does nothing
leaden thunder
your integrating factor is wrong here
drifting vortex
It gives u the original equation
leaden thunder
you need to put the terms multiplying y together
always put your ODE in standard form
drifting vortex
you need to put the terms multiplying y together
Whatβs the integral of y/x then?
drifting vortex
you need to put the terms multiplying y together
Acc r u sure?
leaden thunder
Acc r u sure?
just do it
drifting vortex
leaden thunder
yea. your form isn't like that
drifting vortex
Whatβs the integral of y/x tho
leaden thunder
there's no y on the right side
drifting vortex
We donβt know what y is
drifting vortex
what are you talking about
Is y a constant?
drifting vortex
why do you need integral of y/x ?
U just said
leaden thunder
of course not
leaden thunder
always put your ODE in standard form
do this first
drifting vortex
you need to put the terms multiplying y together
^
leaden thunder
then it'll make sense
leaden thunder
that's not standard form
drifting vortex
We get y/x
leaden thunder
put it in this form
drifting vortex
Right?
leaden thunder
and identify P(x) and Q(x)
drifting vortex
P(x) = 1/x and Q(x) is y + 1
drifting vortex
Q(x) means a function ONLY OF x
So can Q(x) not equal 1?
It has to be something with x ?
leaden thunder
1 is a perfectly fine function of x
drifting vortex
Ight lemme re write this
drifting vortex
1 is a perfectly fine function of x
Feel like this question is a bit trivial
Could just be cuz Iβm slow and not that smart as u lot
leaden thunder
it's not trivial because it makes you learn that Q(x) means a function of x only
drifting vortex
drifting vortex
it's not trivial because it makes you learn that Q(x) means a function of x only
So I get this
In standard form
Oh
I can simplify more
@leaden thunder is this correct mate?
drifting vortex
drifting vortex
Use exponent rules
This better ?
drifting vortex
drifting vortex
Right. The rest should be easy
Yh cool I can probs finish rest, could u just lmk if this looks correct?
I think it seems fine to me
calm coralBOT
@drifting vortex Has your question been resolved?
calm coralBOT
@drifting vortex Has your question been resolved?
wispy oriole
hello
wispy oriole
Can anyone explain the answer to me? I dont understand in every stepsπ₯²
calm coralBOT
@wispy oriole Has your question been resolved?
calm coralBOT
@wispy oriole Has your question been resolved?
calm coralBOT
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Available help channel!
polar girder
How do I verify the trig identity of this
calm coralBOT
How do I verify the trig identity of this
clear sapphire
using sin^2(x) + cos^2(x) = 1
polar girder
could you possibly show me how to do it in the format my teacher instructed me to use?
next rampart
calm coralBOT
next rampart
i need help to solve this and the quiz is tomorrow
im having so much trouble with the statements and reasons
for geometry
calm coralBOT
@next rampart Has your question been resolved?
calm coralBOT
@next rampart Has your question been resolved?
white cypress
What's 2-1=?
calm coralBOT
What's 2-1=?
coral osprey
Use a calculator
tender coral
2+1 = 21. So 2-1 = 12 π€
coral osprey
LOL
strange quartz
if you have 2 children and I kidnap one of them how many you have left
white cypress
A dead child
tender coral
A dead child
That may still count as a child 
tender coral
What's 2-1=?
Anyways don't troll in help channels
real vale
cosmic totem
calm coralBOT
graceful dust
itβs not really βchoosingβ r to be anything
r is arbitrary and p/q is itβs reduced fraction representation
cosmic totem
i cant calm
cosmic totem
r is arbitrary and p/q is itβs reduced fraction representation
why is it rational tho
i just dont get it
graceful dust
itβs just saying βifβ r is rational
cosmic totem
i know the end goal is trying to illustrate x->r R(x)=0 for all real
so that shows the conclusion
ok but in the end
how can you claim for all r in real numbers?
when u chose r to be a rational number
calm
calm
think this through slowly chris
\
I CANT CALM
graceful dust
maybe it is a typo
graceful dust
haiii
cloud topaz
graceful dust
cloud topaz
Iβm eating Chris calm
cosmic totem
Iβm eating Chris calm
pure im sobbing cause u didnt help me calm
does the limit have to eqaul
f(X0)
omg this makes no sense
ok i figured the dirchlet function out
@leaden thunder is prob similiar
oops
meant the function riemann
IM REALLY HAPPY CAUSE I FIGURED SMTH OUT
my happy level rn
leaden thunder
<@261933205387477002> is prob similiar
What
cosmic totem
can i have some help undersatnding this
@leaden thunder
what riemann, did u remove me from ur friend
ohhh nvm
carmine sorrel
when u chose r to be a rational number
because irrationals are already map to 0 for all irrationals
so if the rationals also tend to 0 then it's continuous at 0 for all reals because the limit is 0 for rationals and irrationals
cosmic totem
i got that too
cosmic totem
because irrationals are already map to 0 for all irrationals
so if the rationals...
yeh
ive been stuck for hours
finally
the suffering and distress when nobody wanted to help, ive overcame it
.close
calm coralBOT
calm coralBOT
Available help channel!
dreamy heart
Hey guys could I get some help with this example from Rudin? Wouldn't the least upperbound be 2
dreamy heart
in example 1.9
oblique current
Is 2 in A?
Hm ig an upper bound doesn't need to be in the set
Check rudins definition of upper bound
dreamy heart
no it isn't but if elements of B is considered upperbounds of A then why can't 2 be an element
or an upperbound I mean
I was just confused because it said A has no least upperbound in Q but isn't 2 and element of Q
oblique current
Oh wait
Take something like p=1.9
That's less than 2 but its square isn't
You don't mean 2
You mean something else
oblique current
Yeah what you meant is everything in a is less than sqrt(2), but obv sqrt2 isn't in Q
mellow bramble
i have a question here, but what happened to the x^3 on the original problem like why did it go away when we're doing u-sub
oblique current
xΒ³ dx = 1/8 du
digital panther
hi
digital panther
im doing this problem given in my study guide, but im not sure how to approach it
i was trying to find the unit vector by finding v1 and v2, but the answer im getting doesnt look right
i know that the directional derivative is the gradient vector multiplied by the unit vector, but im having trouble figuring out what the unit vector is based on what is given
also i'm kind of confused why the question is "possible values", wouldn't it just be one value? or is it because there could be different vectors that could be the unit vector?
or is the question mainly asking for the max and min values from the gradient |gradient function|?
calm coralBOT
@digital panther Has your question been resolved?
calm coralBOT
@digital panther Has your question been resolved?
digital panther
<@&286206848099549185>
calm coralBOT
@digital panther Has your question been resolved?
calm coralBOT
@digital panther Has your question been resolved?
calm coralBOT
calm coralBOT
Available help channel!
hushed knot
Is this thing is right
$x^{y^z}$ assume that $\newline x^y=C$ then $\newline x^{y^z}=c^z?$
potent lotusBOT
ππ‘πππ πππ
thin wharf
$x^y = C$ means $(x^y)^z = C^z$ so $x^{(yz)} = C^z$
potent lotusBOT
Doggo
hushed knot
Then how could I write $x^{y^z}$ in terms of C
potent lotusBOT
ππ‘πππ πππ
woeful nimbus
$C^{(1)^z}$
potent lotusBOT
ππ‘πππ πππ
night torrent
**GamersMedicine**
??