#help-0
1 messages · Page 855 of 1
$\text{det}(AA^{-1})=\text{det}(I)$
Mosh
so $det(A)det(A^{-1})=1$
Mosh
I enjoy it.
were complete opposties then lol
k
ok lost again
I applied properties of det and the fact det(I)=1
is det(AA^-1) = det(A)det(A^-1)
yes.
okay, makes sense
det(AB)=det(A)det(B).
alright
so could you say that the identity matrix is just the matrix form of the number 1?
high school algebra to get det(A).
yes.
is that finished now?
yes.
damn
okay thanks
im just a bit confused, it seems alot simpler than the worked solution on the website i used for the question
they did it like this
yeah that works too
if you never learned the det properties, that's how you should do it
but I wasnt going to tex/write out the computation for the RHS
that makes alot of sense now that you helped me work it out
thanks
the transition to starting linear algebra has been so confusing for me though
god i hate matrices
lim as x approaches infinity of the function:
should be 2x right?
but the anwser key says it is 2x-1
(1/x) --> 0
so you are left with 4x/2
Wait what!? How is the answer in terms of x
nono pretend this is a function and we want to find the asymptote
yeah and when x = -0.5 it should be undefined
as x --> infinity
Still doesn’t make sense if you say “approaches”
ohhh
The phrase is "asymptotics"
ok tnx
shouldn't this be 2x?
Oh now it makes sense
or oblique asymptote for non horizontal/vertical lines
but basically $\frac{4x^2}{2x+1}$ then do the long division
Mosh
oof long division
long division is cringe
it's easy if you know how to do it lmao
yeah i see that u can do long division but as x--> infinity, shouldn't this be 2x?
i don’t know how lol
you get something like $2x-1+\frac{k}{2x+1}$ which goes to $2x-1$ for large x
i find it hard
Mosh
and confusing
yeye i get long division but i just dont see how the function above is not 2x as (1/x) --> 0
if you actually compute the limit you'll just get some function that goes to infinity too, you need to do long division to get the oblique asymptote
same
when we first learnt it when i was like 14 it just never stuck
so u can't use limits for this?
had to revise it for a couple hours the other day cus of finding roots of a cubic
sooo annoying
if you did the limit you'd get inf
hmm interesting. ok thanks! yeah i guess I can see the limits are the same
annoyinnggg. ok thanks a lot!
yep
darn
cause you get polynomial + rational
which is quite easy to integrate up to the rational term, but that's either logarithmic or inverse trig 
what is the use of inverse trig? @glass lichen
to undo trig
to find the angle
just some other trig function
what is reciprocal trig used for
quantum be quiet ur not smart
does it have any applications
its used to obtain graphs of the secant, cosecant, and cotangent functions
so easy
is that ever useful in like
engineering
take the reciprocal by both sides
Like historically they were used a lot with things like haversine, chord, excosecant
please leave im trying to teach him
hey top
u seem bored
wanna help me study for a bit?
yes
as long as mosh leaves
and quantum
sweet
it will stroke ur ego
yeah im smarter then them
cus im 16 struggling with precalc and starter linear algebra
linear is so easy
Like there are "dumb" reasons to use sec/csc/cot example you'd use sec to find hypotenuse more easily
u can flex ur math guns
you are getting me angry
dont care
let me teach him
didnt ask
😕
guys be happy
im going to report you to the moderators mosh
goddamn mathmetician egos
he chose me to teach him not you
i cant wait until i get good st math
so i can do this to people
its ok you can start now
i am bad at math but im smarter then mosh and quantum
Why don't you dm each other?
ayo no bullying
watch your mouth
i can laugh at 14 year olds when they cant handle basic trig
totally badass
i could own so many little kiddies
if you're good at math where's your proof of 3n+1?
?
im way smarter then you at math trust me
ask me any question
what's 3n+1?
veritasium boi
how are you
(btw channel is free if anyone's wondering)
its a sequence i dont think it can be solved
NO ITS NOT
ITS FOR PIKEFISH
true
my channel
might as well rename it
well
harder question please
ok holdo n
im pooping rn
"harder than 3n+1" ok kid
boutta flush
yes its unsolved
im not doin all dat
3n+1 = 4 if n = 1
and i am probably older then you
did u know?
with ur anime pfp
who needs help
@remote siloe
im the smartest in this entire premises
just flushed my poo
i do
what do u need
@alpine sable
as long as mosh and quantum are gone im good
actual question for you to solve.
thats so easy
thats easy lol
i couldnt be bothered to solve it thats how easy it is
It is pretty easy, takes like 3 or 4 lines
it'll take me 1 try
ok, ill wait
hah
solving it rn
im too busy to add symbols so
a0Id+a1B+a2B2 +...+anBn2.
harder next time?
top
what do u major
everything
so true
do u do engineering or do you like being poor
im a master at anything you can think of
what about farting while twerking
(on cam)
yeah i can do that easily
@glass lichen is quiet
too busy
Keep it appropriate
sry
i solved ur pathetic problem
NEXT.
ill gurantee you im the smartest
here
mosh just got totally owned
yep
does this mean im good at math
or just that im a loser
man your such a loser
thats so easy
this channel is taken rn sorry dude
i hate people with no intelligence
chill y'all
You're not helping anyone
" moderators trolls 🤓 😢 "
Can we get a dunning-kruger role for these kinds?
@alpine sable keep up the aggravating behavior & you're out
go to math help discord
wait for someone to post a question
call them stupid
ok sorry
i need someone to match my intelligence thats all
i've been searching for a while
i apologize
top
help
sincerel
OK
im solving it rn
what the hell does the question even mean
hha
hah*
its pretty easy actually
condescending comments like this don't help your case
chill bro
How about you actually try and help?
@alpine sable pay attention to the last equation of the problem
does that mean dilate it by 3 and rotate it 0.5 radian
s
ok can someone help\
I suppose it looks something like this
$T=\begin{bmatrix}
3\cos(1/2) & -3\sin(1/2)\
3\sin(1/2) & 3\cos(1/2)
\end{bmatrix}$
Euclid31415
$8=(x\sqrt{7})^2+y^2\geq 2\sqrt{7}xy\implies xy\leq \frac{4}{\sqrt{7}}$
Euclid31415
@craggy niche tangent line is a straight line, and you have two pairs of coordinates on that line, so you can calculate the slope of the tangent line
aka the derivative at that point
the line of 2.-2 and 3,-4 right?
Similarly, if we replace either of x,y with negative of its value we also obtain the minimum
the points on that line
thank u ❤️
no problem
why did the 9 and the b^2 not become negative when transposed
$9=16-b^2\iff b^2+9=16\iff b^2=16-9$
Icy001
thanks, I'm struggling with this one as well and idk what I'm doing wrong like before
oh ic
@unique peak its + or minus sqrt{7}
they know what they sent
@vapid oak what if a, b, c are side lengths of a right triangle in Minkowski space ;)
its not my answer lmao my teacher did it like this but the class ended before i could ask
yeah i understand now thanks
:)
how do i do that
how that would be?
Have you seen the derivative of arccosh x?
What’s arccosh
i guess so, im practicing and remembering all this stuff
cos^-1
That’s arccos
that has to be the answer
That looks like the alternative form of arccosh(sqrt(2)x)
Ohhh
anyone know how to do this, i keep getting it wrong and im not sure if its because my derivative is wrong for this question
Are you allowed to use Lagrange multipliers?
But do you know how to get to ln?
Yeah, the definition of $\cosh x$ is $\frac 12(e^x+e^{-x})$
Icy001
because there aren't complex numbers involved there, there is actually a way to get the inverse function of that using natural log
but it's pretty tricky
sounds interesting
I solved that question and yeah I did it with langrange. I just need help on the new question I posted
Do u know what the derivative is supposed to be for this question for f(x,y)? @devout summit
Yeah just chain rule
Yeah but do u know what the actual equation ends up being
I think I'm messing it up because everything is square rooted
Let me write it out
Thanks
Having trouble with 17
rewrite 256 in terms of 2^x
Yeah I wanted to take the x root of both sides of the equation to solve for x
so rewrite sqrt2 and 256 in terms of 2^x
First think about what is square root 2 as a power?
Probably something like this.
$\frac{df(x,y)}{dt}=\frac{xx'(t)+yy'(t)-\cos(\theta)(xy'(t)+yx'(t))}{\sqrt{x^2+y^2-2xy\cos(\theta)}}$
Euclid31415
What
1/2
Oh I get Wym now
Like how raising something to the -1 is the same as square rooting it
No that’s wrong
ok it looks very similar to what i got before so ill plug and check to see if it works
help
Yeah 2 to the power of 0.5
There now what
and just to clarify x'(t) and y'(t) are just Va and Vb in this case right? @devout summit
Ye
alright
But I think you have to put in negative values of those
Since x and y are decreasing
df/dt should come out negative
Infinitely many solutions!
no im dumb
I need help
bro
It’s obviously the 3rd one
bruh
thanks
bruh
Do you see why that is
don’t give people answers
no im in 8th
If u don’t mind
im just not sure man
I know its 3rd since
everyday he do 10 minute
and it stated that he do same minute everyday
so yeah
im in 10th
just not sure
I like algebra
geometry is hard I think
curves and stuff
yes I love algebra
im gna do so bad for the sat
damnn
can someone help me with that
it didn't work even with Va and Vb being negative
i forgot mode too lol
bro to find mean, mode, median
pls help
you should have listened in class
I forgot
pls
ok
its due in 7 mins
oh nevermind it worked I accidentally had subtracted instead of added because there was 2 negatives @devout summit thanks
so 5,7,7,4,4,2,1
just look online
ikr
Noice
u just add all the numbers and divide them by how many of them are there
@modest wyvern its 5,7,7,4,4,2,1
pls just help me
i just need help on this last question for langrange
now make them in order
thats the answer?
no
for example 1,2,3,4 is = 10 but u divde by 4
make them in order
least to greatest
and find median
and add them and divide by 7
which 1 meant median lmao
to find mean
i cant even rmr
lmao
1, 2, 4,4,5,7,7
I tried this question like 10 different times but i cant seem to get it correct. I get 2y^2+y-2=0 as my equation after lagrange @devout summit
@candid nova bro
there is like
10 ppl typing to help 1 guy
u blind?
channel busy
oh mb i was talking to euclid
so mode = 4 and 7 because mode is the number which appear often
median is the median of it
oh lol
i thought u was those random dudes who post in every channel
lol nah haha
he's been helping me for a while in this channel its just i was doing work so i only typed after finishing
@modest wyvern to find the mean
add of them them up
and divide by 7
not always 7
divide by the quantity
of the numbers
yeah sorry lol
no worries im just on my last question
@devout summit is it alright if i dm you instead for this question
can someone come up with a question with this graph
pls
its due in 1 min
<@&286206848099549185>
Ok...
functions?
pls
bruh wdym question
like a problem sovling question
no problem
whats the problem?
cant think of one
then how am i supposed to know the question
I need to make a problem sovling question that uses the graph
idk even know what x and y represent
x and y pretty much always represent the same thing
do you know logs?
yes
how do I find the volume of this?
wait
k
What are the component shapes of the composite?
@raven juniper turn it into a sphere and a cylinder
Well there you go
or whatever that other shape is called lol
πr2h=v for cylinder
a cylinder and two hemispheres
ok there are 30 batterys
and you know the formula for both the volume of a cylinder and the volume of a sphere
so there you go
can you remind me 😭
so like 5 batteries lasted 0-7 hours
so i find the area of the cylinder and add the volume of the sphere?
u there?
i think u need to find the volume of both and add them
ye
i think thats what i said-
so 113.1+113.1 which is 226.2
?
i dont get what u mean
oh, sorry. yes
oki thank 🙏
yw :]
o( ̄︶ ̄*)o
horizontal
ok
i miss see it with y axis lmao
lol ok
idk
12
Were you asking help on test questions?
wow
Nope
LMAO 😂
So why did that screenshot say test?
that was his test
Where?
yeah
,rotate
@wary stream number 3
im confused on the per year compounded monthly part
idk what to put for n
12 or 1
and i dont get the right answer either way
n = 12
Because $$1 + \frac{0.12}{12} \neq \frac{1.12}{12}$$
dldh06
its 1+0.12 not the fraction
lol
1.01
Therefore $$1 + \frac{0.12}{12} \neq \frac{1.12}{12}$$
dldh06
i see
i think my other questions didnt have monthly thats why
it was yearly so i didnt know
Monthly means n = 12
multiply by 12
the formula for this question is not ^nt, but ^t
because it ask you how many months would it take to get that amount of value
not how many years
this formula is used when it asks you 'how many years'
Weeks, n = 52
no i get that but im talking about by t
im confused ryann just said there is no n by t?
you should use the formula since its a compound interest in a year
with ^nt
henlo, is there a channel here where i could ask question about rational functions?
year 11 btw
but, you would get the value in terms of 'how many years'
so to convert to months, you have to multiply the ans with 12
Not specifically for years, could be done with days hence n = 365 so it needs to be part of the equation
yes, thats when if the q says the person would get full interest (not compound interest) every day
in our case right now, the q says its a year investment with compounds in months
so i do put 12 by n?
but in the end i multiply by 12 again
you should
because it wants it in months essentially ?
yes
n=52
yea so in the end you multiply by it
yes
<@&286206848099549185>
the problem itself is a really simple one i made up
but there is a step within it that i'm not sure which is correct, and idk what keywords to google for it
Anyone in grad school who'd like to try and figure out how my current research approach will be wrong id be very greatful
@humble ruin I think you applied the Leibniz rule incorrectly here
actually never mind
ddx = 0 yep
Wait you are just asking for someone to check if it's right...
There a bunch of ways to check yourself
For example, try calculating $d(f\omega)$ using the Leibniz rule directly and see if you get the same answer
Icy001
The graph shows the career interests of the students at Linda's college. Suppose there are 900 students at the school. How many of the students want to be an athlete?
same with $d(\sigma\wedge\omega)$
Icy001
help
My objective is to find all complex numbers satisfying this equation
so there is no argument
Small syntax issue
$|z|=4$ is a statement with an undeclared variable $z$, but ${z\in\bC\colon |z|=4}$ is indeed a circle with radius 4
Icy001
we could even grant we know z is a complex number but it'd still be undeclared
hmm okay thanks bud ❤️
Question
So
In the position function
s(t)=-16t^2+16t+32
"When does the diver hit the water"
You factor and get -1,2 as your time intervals
so the answer is two
but how can it have negative time interval?
what does that represent?
Can someone pls tell me if I've solved these correctly? Just wanna make sure I'm not making any dumb mistakes
I don't have wolfram alpha pro and the thing I'm trying to figure out is exceeding standard computation time. Could some write this in?
Integrate[(n! p^n (1 - p)^(n - r))/(r! (n - r)!), {p, (r+1)/(n+1) - x, (r+1)/(n+1) + x}]
I answered B is that correct
We do if x= this then u = that for the first 2. why was it not necessary to do in the last 2. How do I know when to do it and when to not? I'm noob in integrals. Help please
how well does everyone know truth tables?
I'm real fricking confused on my project because i triple checked everything and some how its all still wrong
Guys
I'm in High school, If study logic, will it be benficial? Will I benefit from it?
Like will it help me with Math? Will I use it?
When do I need to study logic? And why do people study it? Is it really useful or applicable?
channel already booked bro
No, the answer is A
how do you apply the 6 circular functions (e.g., cos, sin, tan, sec, csc, cot) in real life ?
how is the imaginary number of 7, 5 and the real one is 3
How do i find the exact value of sin θ or cos θ if θ is in standard position?
You generally can't.
Mine is nothing to do with that. That’s from like ages ago. I was referring to something I’m doing with finding maximal convex sets as research
Howdy! I was wondering how to figure out how the latitude of a launch affects the speed of a spacecraft. In the video they stated this but I have honestly no idea what to do with it
You are on a mission to rendezvous with the International Space Station (ISS), which is in orbit 400 km above the surface of the Earth, with an orbital inclination of 51 degrees. You are launching your spacecraft from Cape Canaveral, which is at a latitude of 28.5 degrees.
Well, I'm trying to figure out how to get the same result as the one shown in the course
Cape Canaveral (At least the latitude provided) is 28.5 degrees
I'm trying to figure out how to get the 4/10 stated in the subtitles
<@&268886789983436800>
b&
👍
I am new on calculus, if we could prove that sqrt(2) is irrational by contradiction, how could we prove the rational number is rational? for instance sqrt(4), 4, 5 etc, do just need one example a/b a,b Z, or how to prove the right way
How is $(2^3x)/2 = 2^(3x-1)$?
Manan.
Yessss.
Plug in any value of x to see why

yes do that
Nevermind, figured out how to solve it. Appreciate the help though, @alpine sable !
hey guys I'm absolutely stuck on what the hell to do here
like I know this is here but I have absolutely no idea how to apply it, the prof barely went over this
<@&286206848099549185>
so I've gotten this far but idk if I'm on the correct track or not
why the solution is 10^6 ??? can someone explain me why
How do I increase the thickness of the stems on a Barnsley fern?
?
😦
i am stupid russian c++ programmer
And I want to make a fern.
k ty
it depends on how you draw the stems
I'm ashamed of my code
i have github with chess and tetris
https://pastebin.com/jUvr4c3V there is fern
Pastebin.com is the number one paste tool since 2002. Pastebin is a website where you can store text online for a set period of time.
you're drawing using points?
you could say for every point instead of just setting the pixel at that point set the pixel at that point + the pixels left, right, above, and below it
there would be overlap in the pixels set
but unless it requires black to set the pixel i don't see a problem there
I tried it, I lost too many details. I only want to enlarge the stem.
is there any distinction between the leaves and the stem?
or are they all the same thing essentially?
idk
hi
hi
which program are you using to create the fern?
ah, too bad, I only know python, html, and a little css
this is a botch but you could try to only let it make the first points big
guess when it is done with the stem
unless you mean all stems
then it wont work 😄
,rotate
Can i put my ti-84 calculator on insert by default instead of overlay?
<@&286206848099549185> 😕
ikr
oh, you deleted the photo, it is not impossible to factorize that 4th degree polynomial into 2 quadratics multiplied, and then dance from there
and then
can someone heelp with number 1 a? i dont understaand theee question
The doctor wants to prove that the relationship is correct
"Tree A is 152 years older than tree B. After 25 years, tree A will be triple the age of tree B. How old is tree B?"
Got this question in the test today and I did a+152+25=3a
But I don't think it was right
the difference between their ages will always be the same
complete the square
huh
first define that (|x| = \max(x, -x)) and (\pm x \leq |x|)
wht square
ricey
express (x^2 - 2x + 2) in the form ((x-h)^2 + k) where (h) and (k) are numbers
ricey
- what is k, what is h, what is x
- is it -b/2a or is it that
i aam so confused rn
oh you're being taught that way
then
yes
axis is -b/2a
then substitute that into the equation to get the y-value of the turning point
mhm
then
so your axis of symmetry is x = 1
so how would you find the turning point
how would you find the coordinates
just like that??
taable
ik how to do the b ojne
i was confused with the question 1
aa
ok
can you find the coordinates where it's the turning point first
when x = 1, y = ?
ps. if you're still stuck, this theorem is called "triangle inequality"; look it up
uh
are wee lookingg for yy
yes we are looking for y
when you are writing down a point, it looks like (x,y)
and your axis of symmetry is x = 1
what do you mean why
x^2 - 2x + 2
uh huh
x = -b/2a
axis of symmetry is a line
you are describing a line
so you need the x =
1 is just a number
it could be either on the x (horizontal) or the y (vertical) axis
you have to specify which one
so in this case it's x = 1
,tex
\begin{tikzpicture}
\draw[help lines] (0,0) grid (5,5);
\draw[->] (0,0) -- (5,0) node[right] {(x)};
\draw[->] (0,0) -- (0,5) node[above] {(y)};
\draw[dashed] (1,0) -- (1,5) node[midway, right] {(x = 1)};
\end{tikzpicture}
ricey
ricer im lost a bit
im looking for the table thing, findingg the y,
𝒚=𝒙^𝟐−𝟒𝒙−𝟓
the x is -1
the answer key says the y is 0
but why??
-1^2 is 1
waait
What did you get at first?
-8
You didn't plug in -1 for all x
morre parenthesesee
wat
(-1)^2 -4* (-1) -5
And did you type 4 -1 or 4 * -1?
-4 x -1
Did you type exactly what corporation said?
[(-1)^2 - 4(-1) - 5]
ricey
(-1)^2 - 4*(-1) - 5?
Hi
Hi
Mr/Ms.CH
Mr
Anyway first let me ask you what's the meaning of absolute value?
?
Oh ok no problem
Can I ask you a personal question please.
Which languages do you know well I'll speak to that language ( using translator )
Yeah . Right
yo follow up question
Oh , Great
a queestion said it is -x^2, what do i do with it if x = -6
So you know the value can be negative or positive.
yep
Right?
is it 36 or -36
Use parentheses
OK so you have several value for x
If u do (-x)^2 = 36
-x^2 = -36
Right?
if i fill in the x with -6
You type in $$-(-6)^2$$
dldh06
So you need too test all avaible values
If the absolute value is negative or positive
Both
So how will you do that?
Yeah right 👍
Excellent
i just hate to count
Yeah the question needs mood
So for getting all 4 available values what will you do?
Mr. @tiny minnow
does anyone know how to solve this limit when n-> inf?
junait
Could someone help me with this?
I thought it will be looks like this, but my value for k is wrong
<@&286206848099549185>
the tangent at (3, 6) passes through the origin is like
the point 3, 6
and the point 0, 0
got it, thx

