Sorry if I'm being slow
#help-17
uncut tendon
Okay here is how far I've gotten without not knowing what to do next.
Can you see it?
tranquil trellis
yes
it looks like you just copied down the vector field given 😵
let's start from here
I'm just breaking down the vector field $\vec F$ into $L \ dx + M \ dy$
twin meteorBOT
Ari
tranquil trellis
Since that's the setup for Green's Theorem
And then I evaluate these partial derivatives to get what's on the right hand side under the double integral
uncut tendon
Okay thanks! I'll check if it works in a few minutes!
What is dx and dy? Do we solve in relation to t?
tranquil trellis
What is dx and dy? Do we solve in relation to t?
no
we're just separating the vector field $\mathbf{F}(x,y) = (e^{-x}+y^2, e^{-y}+x^2)$.
twin meteorBOT
Ari
tranquil trellis
the left one is dx, the right one is dy
tranquil trellis
What are the bounds?
did you draw the curve
that'll help you see the bounds of the double integral
uncut tendon
uncut tendon
So for dy it is probably 0 to cos(x) and for dx it is probably -pi/2 to pi/2 right?
uncut tendon
so what are the bounds
Am I right?
tranquil trellis
So for dy it is probably 0 to cos(x) and for dx it is probably -pi/2 to pi/2 rig...
correct
tranquil trellis
the integral is a bit of a pain to solve but it evaluates nicely in the end
tranquil trellis
vocal sleetBOT
@uncut tendon Has your question been resolved?
vast shale
help
vast shale
my original thought would be to say that let (xn) be some sequence of an in (an). Then (xn) is either a permutation, subsequence and thus must converge to a
someone told me that was wrong and to split it into two cases: when image of (xn) is infinite and when it's finite
when it's finite, assume the limit of xn isn't in the set and then say something about two epsilon balls
<@&286206848099549185>
.close
vocal sleetBOT
vocal sleetBOT
Available help channel!
barren bay
This kind of question can be solved by factoring right? You only use the quadratic formula when there is an equal sign present ( someone pls confirm this)
vocal sleetBOT
This kind of question can be solved by factoring right? You only use the quadrat...
tawny nacelle
you can factor yes
the quadratic formula is used to find roots of a quadratic polynomial, but it can technically be used here too
vestal heart
you can use quad formula
tawny nacelle
there's nothing wrong with using it
vestal heart
find critical values and do a numberline test
tawny nacelle
for this particular problem though, you can just factor
vocal sleetBOT
barren bay
🙏 I’ve lowk been asking the same question but I js wanna make sure: for question 1, using the quadratic formula would be easier bc the = makes it easier to verify by having a variable on both sides. But you could still use the X factor method to find x values
For question 2, factoring using the x method would be easier, but there’s nothing wrong with using the quadratic formula
Let me know if my question is confusing 🙏
vocal sleetBOT
Available help channel!
prisma dragon
bro that's $$ (x+3).(x-5)<= 0
vocal sleetBOT
bro that's $$ (x+3).(x-5)<= 0
prisma dragon
which ultimately led to (x+3).<=0 and (x-5) <=0.. now it seems to be solved
.close
vocal sleetBOT
viral copper
which ultimately led to (x+3).<=0 and (x-5) <=0.. now it ...
OR not AND
vocal sleetBOT
Available help channel!
finite trout
I am getting the wrong answer for (b)
vocal sleetBOT
I am getting the wrong answer for (b)
finite trout
sending my working in 1 min
the correct answer is 48 but i am getting 62 over and over again
prisma dragon
bro that 2a is in addition on the RHS how can you cancel 2s by that 2
did you get it ?
vocal sleetBOT
@finite trout Has your question been resolved?
prisma dragon
just for simplification... don't move the variables at first.. just put values in first eqn then after try to solve
and find value for a
if you didn't get it show me your work.
vocal sleetBOT
@finite trout Has your question been resolved?
fallow igloo
If a man had walked 2 km/h faster , he would have taken 40 minutes less to walk 5 km.
find the walking speed.
vocal sleetBOT
If a man had walked 2 km/h faster , he would have taken 40 minutes less to walk ...
fallow igloo
but would that really matter
vocal sleetBOT
exotic dagger
<@666502925639483402> thx
yw
vocal sleetBOT
Available help channel!
solemn crystal
vocal sleetBOT
solemn crystal
the answer is C
but i have no idea how
its just logic btw, x:y dont have any special meaning i think.
subtle helm
420 
solemn crystal
Looks like the angle between the minute and hour hand
oh yea you're right
thanks
also struggling to figure out the logic in this one
I tried to check number of letters between each pair, but i dont see any pattern
outer warren
solemn crystal
ah i got the answer
i kinda googled it
pretty odd tho, wouldnt have gotten it on my own
anyways solution if anyone was curious
.close
harsh gust
$$\int \frac{cos(\sqrt{t})}{\sqrt{t}} $$
vocal sleetBOT
$$\int \frac{cos(\sqrt{t})}{\sqrt{t}} $$
twin meteorBOT
Nerdy_Coder
twin meteorBOT
Nerdy_Coder
twin meteorBOT
Nerdy_Coder
fallow wyvern
I know how to solve the Fibonacci sequence!
quartz beacon
but when I tried it I got
Im guessing your derivative isn’t right
du = 1/2*t^(-1/2) dt
2du = t^(-1/2) dt
harsh gust
Im guessing your derivative isn’t right
My uhh book said to solve it like that
Uhh...hold on...
Why 1/2t
no makes sense
quartz beacon
the u = sqrt(t) is right
quartz beacon
and then you derive it using chain rule
harsh gust
What's dx
twin meteorBOT
iuck
vestal heart
???
harsh gust
how?
vestal heart
u=sqrt(t)
du/dt = 1/2sqrt(t)
dt=2sqrt(t)du=2udu
change dt to du
you get 2ucos(u)/u
=2cos(u)
vast shale
Let him answer
harsh gust
What's the derivative of √t?
1/2 t^(-1/2)
vestal heart
vast shale
$\int cos(u) du = \int cos(u) \frac{du}{dt}dt$
twin meteorBOT
iuck
vast shale
And u = √t here
vast shale
**iuck**
Warning though you can treat du/dt as a fraction but technically it isn't
It's not "cancelling the dt" here to be specific
harsh gust
Where did the other u go?
vast shale
What u?
vast shale
**iuck**
I worked backwards
Just put u=√t in RHS
And you'll get the question
du/dt is 1/(2√t)
Basically if I substitute u=√t, I'll get the LHS
harsh gust
Don't memorize like that
Why does calc need intuition the thing is for calc at least I lack intuition for it completely
vast shale
Of course there are some parts that may not feel intuitive
But practicing more problems will help
Like for example at this stage one cannot show (du/dt)dt = du (requires advanced math)
We just do this in u sub
harsh gust
Like for example at this stage one cannot show (du/dt)dt = du (requires advanced...
..uhh what?
I'm confused
harsh gust
I have been practicing and uhh couldn't do this problem
vast shale
Let's do a simpler one then
harsh gust
Practice more
Will this build the intuition expected of me by my textbook?
The stewart one?
vast shale
I never did Stewart sorry
harsh gust
Then I just failed badly
vast shale
Happens
harsh gust
I have lost my confidence to teach myself math but I have too
I suck at it and need to learn it for my degree
twin meteorBOT
iuck
harsh gust
It doesn't
vast shale
So at what part are you getting confused
harsh gust
u substition applying to a non-integral
vast shale
"non-integral"?
harsh gust
Well nothing actually lose of confidence to learning math
I tried practice and uhh not going anywhere
idk what to do
but I need to study
harsh gust
practice makes perfect...is clearly not working
vast shale
Take a walk outside
vast shale
practice makes perfect...is clearly not working
The "perfection" is a long term result
vast shale
Not a short term one
harsh gust
I suck at this
vast shale
I did as well
harsh gust
Should I just give up on learning from my textbook?
or just ask for help on any problems I cannot do?
vast shale
Not give up for sure, but you can try other textbooks as well
Of course you can ask for help here
harsh gust
I understand the concepts at a basic level at least
hushed pewter
textbook is best resource most times. Doing exercises is next step. Asking questions is next step after that. Repeat
vast shale
I understand the concepts at a basic level at least
That's good, don't get anxious
harsh gust
textbook is best resource most times. Doing exercises is next step. Asking quest...
So math is something learnt in the classroom and with other students/tutors?
As with coding I can just pick up a book read it go thru it read the reference gitgud
hushed pewter
I understand the concepts at a basic level at least
There's a different between "knowing" and "understanding". Based on your description, you "know" them but may not yet "understand" them (not to get philsophical on you)
vast shale
It's best when done like that, of course you can self study math as well
harsh gust
...math I tried that only works for basic algebra
harsh gust
It's best when done like that, of course you can self study math as well
Well i tried and uhh clearly I am not capable of it?
hushed pewter
So math is something learnt in the classroom and with other students/tutors?
For most people, yes. That's all learning in general
harsh gust
Are there those that can?
hushed pewter
I self study
harsh gust
For most people, yes. That's all learning in general
Well no i can teach myself things.
hushed pewter
But I love math
vast shale
Well i tried and uhh clearly I am not capable of it?
Try certain textbooks made specifically for self study
harsh gust
I self study
How far did you go?
harsh gust
Try certain textbooks made specifically for self study
What is stewart made for?
vast shale
as I said, I never did Stewart sorry
vast shale
Nor did I self study calculus as well
harsh gust
Did you teach yourself real analysis?
vast shale
Because I didn't had time due to my entrance exams
I didn't even do real analysis yet
hushed pewter
Did you teach yourself real analysis?
I have some self study there too. But I never finished it. I know enough to read about topology, and I fgo back and forth whenever I get bored
vast shale
Don't pressurize yourself that much, there is time pressure for sure but don't get too anxious
harsh gust
...Should I do that?
harsh gust
I keep getting stuck and losing all confidence
harsh gust
Should go back and study algebra?
I uhh forget analytic geometry
and uhh made mistakes with equations all the time
vast shale
Should go back and study algebra?
Your wish
harsh gust
I lost all confidence in myself to learn math
Is this jsut an excuse?
To do what?
Guess have fun and but I want to study
uhh
....
When I get stuck do I just go to someone else for help
because videos and other resources have stopped working?
vast shale
It's about understanding the concept. The book/resources can excellently show the concept and its working, but it also depends upon the person as well to understand it
Sometimes the person can have a brainfog/get tired to digest more concepts
harsh gust
It's about understanding the concept. The book/resources can excellently show th...
I don't get it then
vast shale
That's why at times like this I take a small break, or skip the problem to revisit them at the end of the day
harsh gust
So...just ask for help right?
Because it seems I am no longer able to self-study math
as...I have hit the wall that people in other fields say people who self-teach hit...
vast shale
Try the problem a few times yourself then ask. Try all the possible methods you have learned before asking
harsh gust
Wait maybe that's my answer?
Yea I should stop trying to just teach myself
I should be asking for help all the time until i can self-stufy again and repeat...
I don't like this idea but this is likely the only way
vast shale
Try to join a study group as well if possible and if it works out for you
harsh gust
...hmm well my college does have a tutoring system
I should set up 2 meetings every week if possible
right?
vocal sleetBOT
@harsh gust Has your question been resolved?
Available help channel!
@jolly wadi Has your question been resolved?
vocal sleetBOT
@jolly wadi Has your question been resolved?
vocal sleetBOT
@jolly wadi Has your question been resolved?
brazen sluice
does anyone know how to graph this in one equation?
vocal sleetBOT
does anyone know how to graph this in one equation?
scenic ravine
probably $-20e^{\frac{-x^2}{2}}$
twin meteorBOT
ƒ(Why am. I here)=I don't Know
scenic ravine
,w graph $-20e^{\frac{-x^2}{2}}$
twin meteorBOT
Requested by physicsrocks
scenic ravine
scenic ravine
then $ne^\frac{-x^2}{a}$
twin meteorBOT
ƒ(Why am. I here)=I don't Know
brazen sluice
how could i make this one function
vocal sleetBOT
@brazen sluice Has your question been resolved?
brazen sluice
<@&286206848099549185>
brazen sluice
how could i make this one function
how to make it independent from y
vocal sleetBOT
@brazen sluice Has your question been resolved?
ancient kettle
hello! can someone help me w this?
vocal sleetBOT
hello! can someone help me w this?
wary mantle
hello! can someone help me w this?
Can you plug in g(x) into the given f(x)?
ancient kettle
but idk what g(x) is
vast shale
Let g(x) = t, you could get f(t)
wary mantle
but idk what g(x) is
Yeah, so just plug in g(x)
As it is
$f(g(x)) = g(x)^2 - 4 \overset ! = 4x^2 - 8x$
Right?
twin meteorBOT
Kepe
wary mantle
Now solve for g(x)
ancient kettle
thanks!
vocal sleetBOT
@ancient kettle Has your question been resolved?
viscid sky
Got this question here asking about critical points. The options are : there are no critical points and the others are what kind of critical point is (0, 0). My intuition is it is a saddle point, but I'm not sure of the best way to verify my intuition.
I don't need to get to deep into analytical methods since it is a MCQ
vocal sleetBOT
Got this question here asking about critical points. The options are : there are...
hardy vector
Got this question here asking about critical points. The options are : there are...
You will need to first find grad f.
Then you will need determine when grad f is the zero vector
viscid sky
Those are done, it is the point (0,0)
hardy vector
Followed by that you need to know the theorem related to the hessian matrix
viscid sky
Ok, I was trying to avoid doing using the hessian matrix
viscid sky
Followed by that you need to know the theorem related to the hessian matrix
I thought there might be some trick to infer it quickly
hardy vector
maybe
vocal sleetBOT
Available help channel!
brave spade
(A) will arrive in a restaurant in X time and (B) will arrive in Z time. The joint probability density function of 𝑋 and 𝑍 is constant over the set of values 𝑆. Determine the joint probability density function of 𝑋 and 𝑍 and find the marginal probability density functions of 𝑋 and 𝑍.
analog galleon
im not a helper but 1 question why is the integral from 0 to x?
brave spade
bro really i dont understand this, in my course this is how in the lectures i have seen this
analog galleon
it doesnt work like that
brave spade
the fz(z) looks fine to you?
analog galleon
nope 😭
brave spade
how would you do it
brave spade
is fz(z)=integral from 0 to 2 of 1/2?
brave spade
do you know the fundamental theorem
yes
brave spade
what do u mean
analog galleon
thats all i needed to hear lol
brave spade
how can i find fx(x) and fz(z)?
analog galleon
first of all its called f(x) only thats it
analog galleon
what grade are you?
brave spade
uni first year
vocal sleetBOT
@brave spade Has your question been resolved?
brave spade
.close
abstract pumice
I try to understand Universal Approximation Theorem but before understanding the formal proof, I would to understand this:
https://www.desmos.com/calculator/cfvtjusqmq?lang=de
how can it be that adding n_i together approximate the function f ?
Is there a geometrical interpretation or a better intuition?
vocal sleetBOT
I try to understand Universal Approximation Theorem but before understanding the...
vocal sleetBOT
@abstract pumice Has your question been resolved?
manic lance
can someone explain why when calculating pi you need to make sure the following statement needs to be true:
x^2 + y^2 <= 1.0
vocal sleetBOT
can someone explain why when calculating pi you need to make sure the following ...
left sparrow
can someone explain why when calculating pi you need to make sure the following ...
The set of points for which x²+y²≤1 is the set of points inside of the circle
peak matrix
can someone explain why when calculating pi you need to make sure the following ...
Point (x, y) is inside of a circle (centered at origin) iff the distance from origin to the point (x, y) is less than or equal to the radius (in this case 1). The picture below shows that the formula for distance of point (x,y) from origin is sqrt(x^2 + y^2) (pythagorean theorem was applied there). So we are looking for points where distance from origin <= 1, that is sqrt(x^2 + y^2) <= 1. But if we square both sides we get just x^2 + y^2 <= 1, which is the condition
vocal sleetBOT
vocal sleetBOT
Available help channel!
ocean fiber
what does it mean by is a perfect square
vocal sleetBOT
what does it mean by is a perfect square
ocean fiber
like does the formula equal like a square??
tawny nacelle
if a quadratic is a perfect square, that means it has a double root
a perfect square is a positive number that is the square of another number
for example, 4 is a perfect square because 2^2 = 4
and 64 is a perfect square because 8^2 = 64
ocean fiber
ohh
tawny nacelle
hello Moosey
vocal sleetBOT
lucid bane
you can also think of it as ax^2+bx+c=(x+k)^2
ocean fiber
thanks
hushed pewter
vocal sleetBOT
Available help channel!
trim cobalt
I'm doing some exercise with interest and stumbled with this problem. I did two ways to solve it which is a shortcut i just found out which is the correct answer and a traditional one. For the shortcut one i just simply divide the non zero and then i will move the decimal place of the answer(0.6) based on how many zero is left so I got 0.06. On my second attempt, I added 2 zeros because you can't divide 3 with 50 and then I got the same 0.6 as answer and I think I messed up with decimal places on my 2nd attempt.
vocal sleetBOT
I'm doing some exercise with interest and stumbled with this problem. I did two ...
@trim cobalt Has your question been resolved?
vocal sleetBOT
vocal sleetBOT
Available help channel!
faint wigeon
Can someone please show me how to do this, the function is “y = x^2 + x - 6”
faint wigeon
I’m mainly struggling with finding the difference between task 2 and task 3 and also the fact that drawing the secants is hard because of how steep the line is
You can see here that i drew it but you can barely even tell the difference betwen the secant and the actual graph
<@&286206848099549185>
vocal sleetBOT
@faint wigeon Has your question been resolved?
faint wigeon
<@&286206848099549185>
vocal sleetBOT
@faint wigeon Has your question been resolved?
vocal sleetBOT
vocal sleetBOT
Available help channel!
vocal sleetBOT
I dont understand how to do this
sacred yew
I do the partial derivatives, and get the critical point (1,0)
and solve for that, which gives me -1
then I am lost
hybrid flicker
you now need to look at f on the boundary of D
and find the min/max from the boundary points
then compare with the critical points you got on the inside
hybrid flicker
meaning
extremas are either on the inside or on the contour of D
hybrid flicker
well you have a few options
for example, you could express f(x,y) as f(x) when (x,y) is on the segment between points (2,0) and (0,2)
sacred yew
so any point between (2,0) and (0,2)
hybrid flicker
and find the abs minimum of "f(x)" on [0,2]
hybrid flicker
so any point between (2,0) and (0,2)
any of those points that lies on the LINE formed by those points
(so just find equation of a line)
vocal sleetBOT
@sacred yew Has your question been resolved?
floral bone
is 1/2 greater, smaller or equal to -4/x
vocal sleetBOT
is 1/2 greater, smaller or equal to -4/x
floral bone
i just need the answer
floral bone
the question is like saying use < or > or = and like assume that each variable is positive
so i would assume that x could be 1
floral bone
so issit < or > or =
subtle helm
yes 
floral bone
wdym
spring stratus
xd
subtle helm
sorry sir, we don't just give you the answer 
subtle helm
then -4/x is always...
if you think about this, it might lead you to the answer though
vocal sleetBOT
@floral bone Has your question been resolved?
calm kiln
brittle talon
In R^n, if a set S is composed of n linearly independent vectors, does that mean S spans R^n?
vocal sleetBOT
In R^n, if a set S is composed of n linearly independent vectors, does that mean...
river minnow
Yes
hard atlas
cyan talon
damnit
river minnow
In general for finite-dimensional vector spaces, any linearly independent set with the number of vectors equal to the dimension is a spanning set
white whale
In R^n, if a set S is composed of n linearly independent vectors, does that mean...
Hi, if you're satisfied by the answer, please close it with .close. Thanks.
sharp nymph
this can be proven using the steinitz exchange lemma if you want to know more about
vocal sleetBOT
@brittle talon Has your question been resolved?
tulip lantern
Can someone help me with this
vocal sleetBOT
Can someone help me with this
desert hornet
Do you know of any sum or difference identities regarding ANY of the inverse trig functions?
bleak whale
Guys, this is an acute isosceles right?
pallid forge
!occupied
vocal sleetBOT
Someone else is already using this help channel. If you need help with a question, please open your own help channel/thread (see #❓how-to-get-help for instructions).
@tulip lantern Has your question been resolved?
vocal sleetBOT
vocal sleetBOT
Available help channel!
tulip temple
vocal sleetBOT
tulip temple
How do I solve the 3rd question🙏
dire cave
How do I solve the 3rd question🙏
Is that Gaussian symbol? Or just bracket
dire cave
Mind if I ask
tulip temple
Yes sire
dire cave
Why the result is not an integer
tulip temple
Oh yeah mb
The answer
Is null
This one actually wait
The fifth one
$$[x/2 + 5/3] = 2$$
twin meteorBOT
SusGusInaBus
tulip temple
Hoho there
bleak lintel
whats the brackets for ?
dire cave
whats the brackets for ?
Gaussian notation
tulip temple
Greatest Integer func
tulip temple
No problem
gentle totem
Greatest Integer func
You mean it rounds up?
dire cave
You mean it rounds up?
Only keeps the integer
gentle totem
Only keeps the integer
Oh so rounds down
gentle totem
$$[x/2 + 5/3] = 2$$
So you know the inside is between [2,3)
2 included, 3 not included
Try to make an inequality
tulip temple
Try to make an inequality
Oh k
dire cave
Please #❓how-to-get-help
and what is a .heic file
can you take a screenshot
sleek tinsel
yea
tulip temple
.close
vocal sleetBOT
gentle totem
Where did you get it from?
sleek tinsel
old exams from my university
gentle totem
And does it want a numerical value?
sleek tinsel
no it asks me to check if it exists
gentle totem
Oh okay
sleek tinsel
(converges or diverges ig)
he has many simpler problems and i have no idea how to aproach them
gentle totem
(converges or diverges ig)
Can you find the derivative of that expression?
sleek tinsel
the derivative yea i guess i could with some time
but how would that be useful?
this type of question is always the last question on his exams, must be the "super hard" one
gentle totem
but how would that be useful?
So that we can visualise it
gentle totem
Maybe a comparison test could work though now that I think of it
sleek tinsel
such as?
gentle totem
The top is always between 2 and 3
Set it to 3, which will give a larger area/integral
If that integral is convergent, so is this one
sleek tinsel
oh yea that could work
vocal sleetBOT
Available help channel!
viscid sky
vocal sleetBOT
viscid sky
It is a multivariable chain rule question
I'm just starting with this, it came out very complicated, so I wanted to check what is the best way to tackle it, if there are any techniques or details I am missing
As a more concrete question: when I reach the end of the chain rule I've got an expression with x,y,z and r,st. Do I need to change everything to r,s,t or can I just evaluate x,y,z at the point and substitute that?
Here is my solution
vocal sleetBOT
@viscid sky Has your question been resolved?
vocal sleetBOT
Available help channel!
civic bolt
vocal sleetBOT
civic bolt
.close
vocal sleetBOT
vocal sleetBOT
Available help channel!
serene viper
are these rules true? If yes do they have a name?
vocal sleetBOT
are these rules true? If yes do they have a name?
heavy yoke
these are a consequence of logarithms being the inverse operation of exponentiation
twin meteorBOT
MethIsAlwaysRight
peak matrix
. instead of !
serene viper
.close
vocal sleetBOT
vocal sleetBOT
Available help channel!
scarlet bough
i intergrated and got $\frac{1}{2}ln(b^2+4)-\frac{1}{2}ln(4)=ln(\sqrt{5})$ then $4^{0.5}$ is $2$ so i just wrote it as $ln(2)$ so $ln(\sqrt{5})+ln(2)=\frac{1}{2}ln(b^2+4)$ then i did $ln(2\sqrt{5}) = ln((b^2+4)^{\frac{1}{2}})$ then $ 2\sqrt{5} = \sqrt{b^2+4}$ then 2\sqrt{5}=b+2$ and finally $2\sqrt{5}-2=b$. where did i go wrong?
vocal sleetBOT
i intergrated and got $\frac{1}{2}ln(b^2+4)-\frac{1}{2}ln(4)=ln(\sqrt{5})$ then ...
twin meteorBOT
morphine_addiction
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
river minnow
i intergrated and got $\frac{1}{2}ln(b^2+4)-\frac{1}{2}ln(4)=ln(\sqrt{5})$ then ...
sqrt(b^2 + 4) is not necessarily equal to b + 2
scarlet bough
sqrt(b^2 + 4) is not necessarily equal to b + 2
+-b +-2?
river minnow
Still no
river minnow
It's itself, you can't simplify it further
scarlet bough
should i square 2srt(5) instead?
river minnow
Yes
river minnow
Yes
queen chasm
I need help I dont understand how to factor at all in relation to algebraic formulas
vocal sleetBOT
I need help I dont understand how to factor at all in relation to algebraic form...
warm scarab
Post an example
queen chasm
6x^4-7x^2+2=0
I understand that u would take its place
I get all the way to 6u^2-7u+2= 0 and dont understand anything about factoring
or how to factor a problem
12
then 3 and 4 give you 7
see I have tried this but for some reason and I dont know why but my math always ends up wrong
and how do you know what coefficient in front of the (u-3) (u-4) is supposed to be
twin meteorBOT
faiyrose
queen chasm
how do you factor by grouping?
(3u-3) (3u-1)
for the first term
yes
the ^2
yes
idk
how cna you tell if it can be factored?
queen chasm
I'm sorry I'm really confused
why is it in a fraction now and why do we have some many 3u's
queen chasm
yes
is the ? the value of u?
or x
ok
isnt it just 3u
oh
no
cause 3 x 3 is 9
so its 2u
is 0
well 1
twin meteorBOT
faiyrose
queen chasm
yes
twin meteorBOT
faiyrose
queen chasm
one second I am writing this down
ok ready
is it going to be -2u(2u+1)
oh
-2u(2u-1)
wait but how would you get 4u+2 with u(2u+1)?
oh I see
cause
that would be 4u^2
so it would be 2(2u-1)
oh yeah
cause you want a positive
2
and negative 4u
queen chasm
one second
so how are you factoring out only 1 of the 2u-1's
ok because its the product of us factoring 6x^2
-3u
grim lotus
what's 2u*3u?
queen chasm
6u^2
grim lotus
yep
queen chasm
I haven't done it yet because I dont understand where the (3u-2) came from
queen chasm
(2u-1)(3u)-(2u-1)(2) =(2u-1)(3u-2)
shouldn't it look like that?
ok I am following now why does that make (2u-1)(3u-2)
I dont thinks so right?
4x^4-1
2x^2
3x^2-2
queen chasm
what is the zero product property?
ok so how do I solve for x with that ?
that just means that x=0
twin meteorBOT
faiyrose
queen chasm
they want it in a solution set
so (+- the root of 1/2 , +- the root of 2/3) ?
i2/3, i1/2
twin meteorBOT
faiyrose
twin meteorBOT
faiyrose
queen chasm
where just saying the product was (+-the root of 1/2, +- the root of 2/3)
queen chasm
**faiyrose**
yes I dont understand how you got this from 1/2 and 2/3
what does that mean
why is the denominator irrational ?
yes why is the 2 the only thing being squared?
twin meteorBOT
faiyrose
twin meteorBOT
faiyrose
queen chasm
1
twin meteorBOT
faiyrose
vocal sleetBOT
@queen chasm Has your question been resolved?
vocal sleetBOT
vocal sleetBOT
Available help channel!
waxen hawk
Q
waxen hawk
What’s a translation in terms of transformation
heavy yoke
for a function y = f(x) then a vertical translation "b" units up is y = f(x) + b and a horizontal translation "a" units right is y = f(x - a)
vocal sleetBOT
@waxen hawk Has your question been resolved?
waxen hawk
Hello
waxen hawk
Hello
tawny nacelle
hi
waxen hawk
I’m an expert of high school trigonometry
Today I encountered a problem that seems to be beyond my ability to solve
I’m astonished
I’m endowed with the ability to graph any given trig function in my head within a second
But
I failed on this one
waxen hawk
Do you guys agree that the period is 20
It should be deemed as a violation against the wisdom of humanity to neglect the question from a supreme trigonometry master
Oh it is solved
It is indeed 20 btw
.close
vocal sleetBOT
vocal sleetBOT
Available help channel!
vital depot
What’s up
vocal sleetBOT
vocal sleetBOT
Available help channel!
cedar linden
hii guys
cedar linden
\begin{align*}
\pi \int_{-1}^{3} [8 + 2y - y^2]^2 \, dy &= \pi \int_{-1}^{3} [64 + 32y - 4y^2 - 4y^3 + y^4] \, dy \\
&= \pi \left( \int_{-1}^{3} 64 \, dy + \int_{-1}^{3} 32y \, dy - \int_{-1}^{3} 4y^2 \, dy - \int_{-1}^{3} 4y^3 \, dy + \int_{-1}^{3} y^4 \, dy \right) \\
&= \pi \left( 64y + 16y^2 - \frac{4y^3}{3} - y^4 + \frac{y^5}{5} \Bigg|_{-1}^{3} \right) \\
&= \pi \left[ (192 + 144 - 36 - 81 + \frac{243}{5})- (-64 + 16 - \frac{4}{3} -1 -\frac{1}{5})\right] \\
&= \pi \left[ (267.6) - (-50.53) \right] \\
&= \pi (318.13) \\
&= 999.435
\end{align*}```Juan
cedar linden
im doing something wrong dont know why, im sure until the y replacement im right
but dont know after
the asnwer should be
,w \pi \int_{-1}^{3} [8 + 2y - y^2]^2
twin meteorBOT
safe tundra
could you please help me understand"forming algebraic expression
And teach me how to do 1 and to 2 step Operation
warm scarab
Post the question
cedar linden
yes and wht you have tried so far
vocal sleetBOT
@safe tundra Has your question been resolved?
past thicket
This is the forming algebraic expression
do you want to start with no 8
vocal sleetBOT
@safe tundra Has your question been resolved?
vocal sleetBOT
vocal sleetBOT
Available help channel!
molten condor
I know finance is a sensitive topic and there are always strong opinions about it but I just really want to keep it simple to the logic i'm hoping to achieve if it's possible. Just been struggling with it for a while now and I know people who have a stronger background in math can do provide some good perspective. I want to keep it brief and as simple as I can but I need to give a background to hopefully give some perspective on what i'm hoping to achieve.
I'm trying to create what they call a "dynamic trading range" that can be represented by supports/resistances. A support is basically an area where the price generally seems attractive to buy at, so a lot of people will be buying a stock at that price which will consequently prevent a price from going lower. A resistance is the opposite where people would be more inclined to sell. I do believe that the support/resistance areas are of higher predictability (lower entropy) in general so I am trying to run a test to prove my hypothesis based on real data. In order to do this, I need a way to automatically map out these areas and the logic to do this is what I need guidance on. The term dynamic is because the trading range is updated every day as soon as new data is added.
The current data which I only have and will ever have access to are the daily stock quotes which generally describe the average behavior of the stock during that day. They are represented by Open (what the price was when the market opened), High (maximum price made within that day), Low (lowest price made within that day), Close (what price the market closed at), and Volume (total number of shares made on that day) for each stock/security. The nature of the data set is already not ideal because making an analysis on these is similar to the concept of taking an average of an average so the conclusions that will be made from these will be suboptimal at best. But it’s better than nothing.
vocal sleetBOT
I know finance is a sensitive topic and there are always strong opinions about i...
molten condor
The trading range will also be a function of price, volume, and time. Since it is hard to capture the relevance of the price data due to the nature of the data as mentioned earlier (Open, Low, High, Close) most people just use the either the “Close” price or what they call the typical price which is (Low, High, Close) divided by 3.
The volume is an essential component when defining a trading range because it provides context to price movements and helps validate the strength of the range. An example can be a math class with 100 students and if 95 students scored 33 points, and only 5 students scored 99 points then the average would only be 36.3 points. The price can be represented by the student’s points and volume can be represented by the number of students.
There can be an infinite number of ways to set up the beginning point and end point of the trading range. So this ramps up the complexity of the model a lot because there has to be some way for the model to decide for itself which among all the possible combinations out there are the relevant ones.
This example shows one that only use mininum and maximum values, but this is oversimplified and is of no use at all. I asked AI models a hundred times to iterate it cannot seem to come up with something robust (with respect to the infinite number of zooms). Trying to determine how to mathematically come up with the rule/criteria
These are just examples of where a support and resistance may be at based on today's latest data for a single stock
vocal sleetBOT
@molten condor Has your question been resolved?
molten condor
<@&286206848099549185>
vocal sleetBOT
@molten condor Has your question been resolved?
molten condor
.close
vocal sleetBOT
vocal sleetBOT
Available help channel!
finite fern
vocal sleetBOT
open sundial
Have you tried the sine rule?
open sundial
Apply A/ sin(A) = B/ sin(B)
scenic ravine
Is this from an exam
finite fern
yeah
scenic ravine
sorry, we can't help you in that case
vocal sleetBOT
Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.
left dew
🤣
south tapir
Real
viral copper
bro tried to use obliviate
scenic ravine
stop trying to dm me
solemn marten
vocal sleetBOT
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
fervent wasp
Idk how to do it
Have you learnt it?
fervent wasp
Sure
finite fern
And now im going to fail
vocal sleetBOT
@finite fern Has your question been resolved?
fervent wasp
@finite fern Hey, if you’re here to get the answer to that question directly, I’m afraid that no one would help you. You may either sit down and answer my question or just leave since you’re not going to get anything good for waiting here:)
finite fern
<@1150805672842240162> Hey, if you’re here to get the answer to that question di...
bro what do u want from me
fervent wasp
Nothing, I’m just notifying you that you’re wasting your time waiting for the answer
That’s it, it’s up to you
vocal sleetBOT
@finite fern Has your question been resolved?
hushed briar
can i get some help on sloving this, i am completely stuck on this
snow hedge
can i get some help on sloving this, i am completely stuck on this
Do you know the Pythagorean theorem ?
hushed briar
yes
snow hedge
Apply it here
hushed briar
so 6 is adjacent?
snow hedge
We can't say it directly
It depends upon the angle which you are taking
But that doesnt matter here
snow hedge
so 6 is adjacent?
6 and X are the base and height or opposite
plucky trout
a^2+b^2=c^2, plug the corresponding values in and solve
hushed briar
would there be like a formula like $6^2+x^2=3x-1^2$?
twin meteorBOT
Bahnies
snow hedge
Yes (3x-1) ^2
empty mauve
vocal sleetBOT
empty mauve
you're welcome
vocal sleetBOT
Available help channel!
proven nebula
vocal sleetBOT
proven nebula
i know that 6561 can be factorized as 3^8, but is there a easier trick to it?
empty frigate
given that it's an 8th root you could just start taking small numbers and raising them to the power of 8, if that's any easier than just staring at 6561 and trying to factorise it
there isn't really going to be anything that doesn't go through somehow concluding 6561 = 3^8 since that is essentially what they're asking you to determine
proven nebula
so there is not a easy trick to do the factorization?
empty frigate
well given that you're expecting the answer to be an integer, you can notice that 6561 is a multiple of 3, and then just keep dividing it by 3 to see if it's 3^8
it would be pretty weird if they asked you to find, like, (3^7*5)^0.125, because then the answer is going to be some weird irrational number, and there isn't much you can do about that without a calculator
proven nebula
how do u know that the base is 3?
empty frigate
well you just start trying numbers until you find a factor of 6561
it's not even, so 2 doesn't work
it doesn't end in 0 or 5, so 5 doesn't work
there's a fairly easy trick to check if a number is divisible by 3: add up its digits, and check if the result is a multiple of 3
6 + 5 + 6 + 1 = 18, which is a multiple of 3, so 6561 also is
empty frigate
well if you get numbers that big then i'd say, start computing 8th powers of things just to get a sense of how large it is
like if you want to find the 8th root of 208827064576
10^8 is too small, so it's bigger than 10
20^8 is still too small
but 40^8 is bigger so it's somewhere in between those
30^8 is bigger
etc.
and eventually you'll try something that happens to be the right answer
empty frigate
like if you want to find the 8th root of 208827064576
or actually in this case
the first thing you should do is notice that it's even
and divide it by 2^8, just to make it a smaller number
since 815730721 is at least somewhat easier to deal with
but also yeah i would not expect numbers this big to come up
proven nebula
and divide it by 2^8, just to make it a smaller number
i am not a calculator lmao
proven nebula
but also yeah i would not expect numbers this big to come up
oh okay
empty frigate
i am not a calculator lmao
well you can divide it by 2 eight times
proven nebula
so i dont need to worry?
empty frigate
yeah i don't think you need to worry
i mean you might be asked to find square roots of things like 23^2 because that's actually a pretty reasonable number, it's 529
but also like, that's just way easier because the numbers are smaller
20^2 is 400 which is too small, 25^2 is 625 which is too big, we can skip the even numbers, 21^2 is 441 which isn't right, so it must be 23^2 and indeed it is
kind light
need help
gilded osprey
If you are out of ideas, use the definition of
$x^a = exp(a ln(x))$
twin meteorBOT
Daddy_314
proven nebula
If you are out of ideas, use the definition of
$x^a = exp(a ln(x))$
bro tf does the rhs mean
gilded osprey
i literally just don’t understand how to do this at all
Express tan(27) and tan(39) in terms of d
gilded osprey
bro tf does the rhs mean
If you did not study the exponential nor the logarithm function, forget it
proven nebula
If you did not study the exponential nor the logarithm function, forget it
yeah im still in eight
kind light
Express tan(27) and tan(39) in terms of d
what do you mean? if i’m trying to find d, don’t i need the value of the opposite or adjacent?
gilded osprey
"need" is a strong word
You "can"
Do whatever you want
If you have a good approach
vocal sleetBOT
@kind light Has your question been resolved?
kind light
what does it mean to “express” tan(27) and tan(39)?
gilded osprey
The red triangle is a right triangle
Therefore tan(39) = h/d
Tangent is the best choice because we have the adjacent side to the angle and we want an information about the opposing side
There is no point in using cos or sin
The second step is to do the same thing we did in another right triangle
gilded osprey
kind light
so tan(27) = h/25+d??
kind light
alright
gilded osprey
And now the magic happens because we have two equations and two unknowns
This is a system of linear equations to solve
tan(39°) = h/d
tan(27°) = h/(25+d)
Tan(39) and tan(27) are just two numbers
Like any other number
weary dune
(Regarding my electricity bill) Q: What is the period of this bill and how many days of usage did it cover?
vocal sleetBOT
(Regarding my electricity bill) Q: What is the period of this bill and how many ...
weary dune
hi im kinda struggling with these word problems, ive figured out the first part of the question
billing period: 11 jan - 9 april
is the second part asking how many days are in between those dates or is it asking about some other info
brisk cloak
im pretty sure thats what its asking
brisk cloak
no problem angela
vocal sleetBOT
Available help channel!
sage pulsar
hello I am new. so is there a help that helps with precalc or is any help fine?
thick lantern
hello I am new. so is there a help that helps with precalc or is any help fine?
You can post anything you want.
There are also more topic specific channels below, you could ask there as well. Whatever works for you.
vocal sleetBOT
@sage pulsar Has your question been resolved?
tribal crater
vocal sleetBOT
warm scarab
Want us to grade it
tribal crater
Nothing I’m gonna do it this pic was b4
I’ll send here aswell give me 5 mins
I did the other question I’m done don’t need help on that one it’s fine jus lmk abt these questions if they seem correct
I have to take shower and get ready for math class brb
vocal sleetBOT
Someone else is already using this help channel. If you need help with a question, please open your own help channel/thread (see #❓how-to-get-help for instructions).