0 is its own additive inverse since 0 + 0 = 0
#help-10
dense imp
in the case of 2x2 matrices, you want the 2x2 matrix that gives you the matrix that consists of all 0's
so the additive inverse of that matrix (-1 ,3) / (-4, 5) ....im writing it as just rows cause i cant do better in this chat...is simply (1, -3) / (4, -5) since you add all those numbers together and you get 0's
so make that match up with the matrix with the a \b unknowns and youll just get 2 equations in 2 unknowns you can solve
grizzled belfry
so u mean, we can write that matrix with variable matrix (A) + another with no variable (B) , we should equate with zero i.e A+B=0 ?
and solve at last equate the corresponding parts?
dense imp
ok lemme just write the matrix as 4 numbers (-1, 3, -4, 5) what is its additive* inverse?
grizzled belfry
(-1*-4 + 3*5) ??
dense imp
?
what matrix would you add to (-1, 3, -4, 5) to get the (0, 0, 0, 0) matrix?
(hint: its easier than it seems)
grizzled belfry
-7 ?
dense imp
you would add the (1, -3, 4, -5) matrix to (-1, 3, -4, 5) to get (0, 0, 0, 0) all the components add and yield 0
does that make sense?
its just all the coordinates with opposite sign
dense imp
so (-1, 3, -4, 5) is the original and (1, -3, 4, -5) is the inverse, the problem tells us that (a - 1, -3, b+3, -5) is also a way to write the additive inverse
grizzled belfry
hmm im getting it
dense imp
so we see that the second and 4th coordinate of the one we got and the one given in the problem are the same, it should be also true for the first and third coordinates we just set the coordinates equal to each other
a - 1 = 1 and b + 3 = 4
so we get a = 2, b = 1
grizzled belfry
wow thanks im all clear now
dense imp
ok and wherever i said inverse here keep in mind i meant additive inverse
generally when you just say "inverse" for matrices you use it for multiplicative inverse, so i dont mean to confuse you later, i should be careful and say "additive inverse" when we are talking about this
grizzled belfry
um ok additive inverse just means a+b=0 right ?
dense imp
yes and multiplicative inverse means ab = 1, so for example 5 and 1/5 are additive inverses
or in the case of matrices multiplicative inverses would multiply to an identity matrix (one that has all 1's for the top-left to bottom-right diagonal) and all 0's everywhere else
grizzled belfry
i havent heard of multiplicative inverse , im reading in grade 9
dense imp
ok maybe you dont have to worry about it then : ) but its same concept
0 is special for operation of addition because A + 0 = A
similarly, 1 is special for operation of multiplication because A * 1 = A so it makes sense that you consider inverses in respect to that special number to the operation
anyway if you think youre done with your question you can use .close to free up the channel
grizzled belfry
how do i do it?
pallid tinsel
hi
warm shaleBOT
kaynsu
warm shaleBOT
giannis_money
pallid tinsel
maybe maybe
timid silo
lmfao
solar trellis
expand^
timid silo
LMFAO
timid silo
yessir
pallid tinsel
ayy
astral ivy
Do you know how to do that
distant moth
💀
timid silo
distribute the term to each
timid silo
no
astral ivy
Read
pallid tinsel
dont do this to me
warm shaleBOT
kaynsu
astral ivy
3(a+b) = (a+b) + (a+b) + (a+b)
?
pallid tinsel
uh
noble yacht
👁👄👁
obtuse pebbleBOT
candid sigil
**kaynsu**
how you use the dot!!!
obtuse pebbleBOT
Available help channel!
zenith prawn
how many 5 digit numbers can be formed with the numbers 0; 1; 2; 3; 4; 5 if they cant repeat?
obtuse pebbleBOT
how many 5 digit numbers can be formed with the numbers 0; 1; 2; 3; 4; 5 if they...
haughty coyote
you have 6 digits, you need to choose 5 in order. I guess you haven't seen combinatorics yet ? Or do you mean the same digit can't appear twice in a row ?
zenith prawn
lets say the number is 12345 there cant be another 5 in there
basically the same number cant repeat in the same 5 digit number
haughty coyote
so you need to count how many ways you can choose 5 numbers and then how many ways they can be ordered
also sorry for the delay I have a really awful connection right now
zenith prawn
its okay
in how many ways can you form a 5 digit number with these numbers (0; 1; 3; 4; 5) without repeating them
i think that should explain it better
haughty coyote
count how many options you have for the 1st digit, then how many options for the 2nd digit, etc
obtuse pebbleBOT
@sterile pawn Has your question been resolved?
carmine bear
made this derivation of the gaussian copula including mean and variance, is there a way to further simplify the last bit?
obtuse pebbleBOT
made this derivation of the gaussian copula including mean and variance, is ther...
carmine bear
oh and if anyone spots any mistakes let me know please
obtuse pebbleBOT
@carmine bear Has your question been resolved?
carmine bear
<@&286206848099549185>
brittle blaze
this is above my head, sorry man
noble yacht
maybe try an advanced channel?
obtuse pebbleBOT
@carmine bear Has your question been resolved?
carmine bear
alright
sharp grotto
Hello guys, how can a person cut 9x4 rectangle once to fill 6x6 square ?
sharp grotto
it looks like childish problem but im sitting more then 20 minutes trying to solve it 😀
dense imp
it looks like childish problem but im sitting more then 20 minutes trying to sol...
is that all the problem says?
sharp grotto
yeap
dense imp
and is it implied that it's possible?
sharp grotto
U got 9x4 rectangle, and u should get 6x6 square with one cut
dense imp
9x4?
sharp grotto
yea yea sorry
dense imp
straight line cut?
sharp grotto
It is not mentioned.
dense imp
oh
that'll do it
i dont know why i assumed it was supposed to be a straight line for a long time and kept scratching my head
sharp grotto
yes, same, now that you mentioned it It got a lot easier
Im pretty sure with straight line it will be impossible
anyways, thank you
.close
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
nimble latch
i have math question pls help
obtuse pebbleBOT
i have math question pls help
tepid sequoia
read
restive pilot
i have math question pls help
post your question
restive pilot
okay
nimble latch
y=-0.025(x-20)power of 2 + 10
y=6.4
so... 6.4=-0.025(x-20)power of 2 +10
i need to find x
according to this website
that im using to revise
stuff
restive pilot
y=-0.025(x-20)power of 2 + 10
could you screenshot that?
restive pilot
sure chief
nimble latch
restive pilot
and you want all solutions for x correct?
nimble latch
sort of gimme a minute to explain
restive pilot
sure ^^
nimble latch
the question hints that there might be multiple answers for x
the first one being x=32
that I understand
because you square root 144 and simplify until you find x=32
buuuut
the other value of x is x=8
this is what I dont understand
because why would you negativly square root it
restive pilot
okay so first what you did here is you subtract 10 and then divide by -0.0025 right
restive pilot
yes great!
nimble latch
then -3.6/-0.025 = 144
restive pilot
okay to answer your question we want to know all solutions for sqrt(144)
which numbers multiplied with themselves are 144
restive pilot
answer me my question please
restive pilot
no need
you want to understand how the soltion 8 is possible and we will get there
square root always have 2 solutions
one positive and one negative
nimble latch
oooh ok
nimble latch
makes sense
restive pilot
and 12 * 12 = 144
nimble latch
ok
restive pilot
thats why you have 2 solutions at most quadratic equations
nimble latch
ooh ok
restive pilot
at least real solutions
nimble latch
thanks
restive pilot
sure
nimble latch
i understand now
imma share this discord if thats ok
many ppl will find it interesting
how do i leave?
how
sry
.close
obtuse pebbleBOT
proven plank
obtuse pebbleBOT
proven plank
i need help
with 15
i understand how I can redraw the diagram into its 10N vectors
but idk where to go from there
astral marsh
40-30 = 10 so 10N left
35 - 25 = 10 so 10N to the top right
now
with the 45degree thing uhh
well they are both 10 in each direction so maybe a little less than 20
its basically like a spread out 20 thats not efficient i think
proven plank
its basically like a spread out 20 thats not efficient i think
huh
obtuse pebbleBOT
@proven plank Has your question been resolved?
obtuse pebbleBOT
proven plank
.reopen
obtuse pebbleBOT
✅
proven plank
<@&286206848099549185>
obtuse pebbleBOT
@proven plank Has your question been resolved?
obtuse pebbleBOT
@proven plank Has your question been resolved?
obtuse pebbleBOT
@proven plank Has your question been resolved?
proven plank
.reopen
obtuse pebbleBOT
@proven plank Has your question been resolved?
gritty light
can somebody solve x^3+6x+9 without using the cubic formula
obtuse pebbleBOT
can somebody solve x^3+6x+9 without using the cubic formula
@gritty light Has your question been resolved?
royal basin
so in fact you meant x^3 + 6x + 9 = 0.
it appears that this polynomial does not have any rational roots
gritty light
it appears that this polynomial does not have any rational roots
yeah but whats the irrational solution
obtuse pebbleBOT
yeah but whats the irrational solution
royal basin
probably impossible to obtain now that you've stipulated the cubic formula may not be used
gritty light
so it is imossible
obtuse pebbleBOT
@gritty light Has your question been resolved?
obsidian isle
(x-a)(x-b)(x-c) =
(x^2 - (a+b)x + ab)(x-c) =
x^3 - cx^2 - (a+b)x^2 +c(a+b)x + abx - abc =
x^3 - (a+b+c)x^2 + (ab + bc + ca)x - abc
-(a+b+c) = 0
ab+bc+ca = 6
-abc = 9
This actually might not be so bad
gritty light
whats this
obsidian isle
Expansion
c = -9/(ab)
a + b - 9/(ab) = 0
ab - 9/a - 9/b = 6
a^2b + ab^2 = 9
a^2b^2 - 9b - 9a = 6ab
ab(a+b) = 9
ab(ab-6) - 9(a+b) = 0
Let A = ab, B = a+b
AB = 9
A(A-6) - 9B = 0
B = (A^2-6A)/9
(A^3 - 6A^2)/9 = 9
A^3 - 6A^2 - 81 = 0
I think this might be solvable
,w 9-4(sqrt(10)-1)(33-6sqrt(10))
warm shaleBOT
obsidian isle
This is tedious
obtuse pebbleBOT
@gritty light Has your question been resolved?
finite flame
obtuse pebbleBOT
finite flame
How do i do it
I know there’s something related to n(n+1)/2
As its sum of n natural numbers
1 + 1/(6/2) + 1/(12/2) + 1/(20/2) +….
2/2 + 2/6 + 2/12+ 2/20 +2/30
2( 1/2 +1/6 +1/12 + 1/20 +…)
2(1-1/2+1/2-1/3+1/3….+1/2020-1/2021)
2(1-1/2021)
4040/2021
<@&286206848099549185>
(I knew its useless to ping@ helpers)
Ban all memebers with @ helpers role 
Lmao
No but seriously what’s wrong in my solution
warm canopy
(I knew its useless to ping@ helpers)
Do you think this is going to make helpers more inclined to help you?
finite flame
No not really
obtuse pebbleBOT
@finite flame Has your question been resolved?
storm bay
obtuse pebbleBOT
storm bay
I'm confused to how they turn cos(2x) into 2cos^2x-1
From the top line to the one under
high lily
double angle identity
robust sleet
^
robust sleet
look it up
storm bay
Alright I'll watch a vid on it 👍
Oh there's formula on this thing
In my formula book
I lowkey remember this
robust sleet
lol
obtuse pebbleBOT
@storm bay Has your question been resolved?
gritty light
c = -9/(ab)
a + b - 9/(ab) = 0
ab - 9/a - 9/b = 6
a^2b + ab^2 = 9
a^2b^2 - 9b ...
is that for my question
obtuse pebbleBOT
storm bay
yeah theres literally a formula saying that cos (2x) is equal to that in my book
obtuse pebbleBOT
Available help channel!
thorny otter
hello again, I have an question the following equation that i get the values u and a from
obtuse pebbleBOT
hello again, I have an question the following equation that i get the values u a...
thorny otter
instead of u and a, i would like to get b and x
I have no idea on how to do this, so any help is greatly appreciated
obtuse pebbleBOT
@thorny otter Has your question been resolved?
velvet siren
You can start by saying b≠x
thorny otter
ok
im sorry, this is all pretty new to me again, i havent done anything this complex since early 90s
its a function im trying to work out for my coding project, so i dont really understand what you mean by b≠x
thorny otter
So i have written the equation wrong?
i believe that the equation above is the same as the function GetFutureDataFromAmountIn
just trying to reverse it
Sorry if its still convoluted or not in the right terminology. If its to weird, ill just close and try somewhere else
thorny otter
Does anyone know if there is a paid service that would help with a question like this <@&286206848099549185> ? or where else i could seek some assistance?
olive hawk
It would be helpful if you could explain what exactly the procedure does?
thorny otter
no problem
I should also say the current reservein and out are readily available
but im not sure if i did it correctly
@warm canopy still too convoluted?
<@&286206848099549185> Was fun wasting 8hrs here trying to get some help. Thanks all.
.close
minor cypress
which one of the four?
in a the student needs atleast 5 correct
so ill subtract 1-(4 correct + 3 correct + 2 correct + one correct+ 0 correct)
ummm wdym by negative distribution?
you are correct here
yeah this isnt wrong
the student needs atleast 6 questions in b
40% of 15 is 6
so just add P(x=5) case in your above problem and subtract from 1
obtuse pebbleBOT
@crimson kiln Has your question been resolved?
shadow lava
Did I do this correctly?
obtuse pebbleBOT
Did I do this correctly?
wide orchid
the calculations are correct yeah
shadow lava
Hmmm ok it just looks weird.. this is what the instructor got
wide orchid
the calculations are correct yeah
if ya take x = 0 and y = 0 respectively
wide orchid
send the full question plz
shadow lava
wide orchid
yeah, correct.
wide orchid
yeah, correct.
the equations are
wide orchid
umm wait, i don't think i am the right person to answer that. all i can say is that the equations are correct. idk slope n all , sorry
nocturne minnow
What you are doing here is finding the x and y intercepts, you know that, right?
nocturne minnow
Because they are different
shadow lava
OK
So if we divide the equation by 2 the lines will be squished smaller?
And if we multiply the equation by 2 the lines will be stretched taller?
nocturne minnow
It changes the slope, yes
shadow lava
However, intercepts to both lines will still be at the same point regardless of multiplying equation or dividing equation by 2?
I think that makes sense the more I think about it 🤔
I see it on software with Google Analytics or Stocks zoom in or zoom out changing the aspect ratio and scale but not the intercepts
clear cloak
Hi
clear cloak
Can someone explain 2 to me please
brittle blaze
clear cloak
You’re saying 10 is the base?
brittle blaze
What is the question asking, you never said
naive owl
he wants u to explain 2
clear cloak
When I put 10 log (2) in my calculator I get 0.3
Not 2
So 10 to the power of log2?
clear cloak
I know this
brittle blaze
I don’t understand what you are trying to do
clear cloak
I don’t understand what it says
10^log(2) or is 10 the log base here?
Because log(2) is not 2
brittle blaze
he wants u to explain 2
I obviously understand that but it helps to know what the question is asking for
brittle blaze
10^log(2) or is 10 the log base here?
10 is the base
naive owl
I don’t understand what it says
$$10^{log(2)$$
warm shaleBOT
Chunkin
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
clear cloak
So it is 10 to the power of log (2)?
naive owl
yeah
clear cloak
10 is the standard base of log
Ok thanks!
Yea so when I fill this in on mu calculator I do get 2 now
naive owl
,w is 10^log(x)=x
warm shaleBOT
obtuse pebbleBOT
@clear cloak Has your question been resolved?
clear cloak
Am I doing this correctly to inverse?
distant moth
,w is 10^log(x)=x
10^log(x) is equal to x, the only condition is x>0 right?
clear cloak
As was my thought
naive owl
10^log(x) is equal to x, the only condition is x>0 right?
I think not
,w is 10^log(x)=x
warm shaleBOT
naive owl
,w plot 10^log(x)
warm shaleBOT
naive owl
,w log(0)
warm shaleBOT
warm shaleBOT
naive owl
ayo 🤨
distant moth
obtuse pebbleBOT
@clear cloak Has your question been resolved?
versed turret
,w lim 10^(log(x)), x -> 0+
warm shaleBOT
versed turret
Similarly, graphing x^x shows y = 1 when x = 0.
And for sin(x)/x, (0, 1) is a point on the curve
karmic field
Question: Under a rotation through an angle of 45 degrees about the y-axis, the image of the point (-13root2 / 2, 10, -3root2 / 2) has a position vector a . Find the position vector
obtuse pebbleBOT
Question: Under a rotation through an angle of 45 degrees about the y-axis, the ...
karmic field
Basically I need to find a, I understand how to do the rest of the question but this part has me stumped
I have the answer as well, I just need to understand how to do it
Just the a= part is the answer
obtuse pebbleBOT
@karmic field Has your question been resolved?
candid sigil
<@&286206848099549185>
karmic field
Yes I have
karmic field
How would you convert the vector into the matrix?
versed turret
And multiply this by $\begin{bmatrix}
-\frac{13}{\sqrt{2}}\
10\
-\frac{3}{\sqrt{2}}
\end{bmatrix}$
karmic field
Hmm okay I’ll give it try
warm shaleBOT
castroploiin
karmic field
That does not work
karmic field
You
Are correct
I am a dumb ass
And was doing 45 degrees with rads instead of pi/4
Thank you so much for this!
.close
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
neat smelt
Hi
neat smelt
I saw something like this in a book
percentage_change,current_price,last_close_price 13.2, 120.5, 150
I'm wondering how they got the 13.2% if anyone can explain
Yes of a stock
Ok nice. Thank you
Pn-1 would be the previous day price right?
Awesome.
!close
strong mauve
how did he get from step 1 to step 2? i don't understand what's happening
broken bridge
cancelled n! on both sides
simplified 3 and 6! on the left
simplified 4! on the right, 11 become numerator
broken bridge
3/6!=3/(1x2x3x4x5x6)=1/240
naive owl
ohhh
timid silo
obtuse pebbleBOT
timid silo
hi! may i get help understanding how to evaluate this integral please
i couldnt seem to understand the method my professor used and i couldnt find any examples similar to this to reference
eternal bloom
i couldnt seem to understand the method my professor used and i couldnt find any...
It's part of a circle, and in particular the quarter circle of radius 1 in the first quadrant. So it is pi/4. Alternatively integrate by parts
robust sleet
There's a method for these type of integrals, called trignometric substitutions.
timid silo
It's part of a circle, and in particular the quarter circle of radius 1 in the f...
could you further explain how you got pi/4? i understand that its in quadrant 1 since its restricted to (0,1) but i dont get how to evaluate it
timid silo
There's a method for these type of integrals, called trignometric substitutions.
i dont believe that is covered yet! thank you tho!
robust sleet
show us what method your prof taught u
timid silo
OH WAIT I THINK I GET IT
versed turret
It's 1/4th of a circle with radius 1
robust sleet
yeah 1345 already told it
timid silo
so i think what he did was he took the formula for area of a circle and used 1 as the radius, so that became pi(1)^2 but since its a quarter its pi/4
that makes sm more sense now
thank you for yalls help! i appreciate it!
eternal bloom
so i think what he did was he took the formula for area of a circle and used 1 a...
yeah, call the integrand y. then y=sqrt(1-x^2), so y^2 = 1-x^2, so x^2 + y^2 = 1 (y>=0, x>=0)
timid silo
yeah, call the integrand y. then y=sqrt(1-x^2), so y^2 = 1-x^2, so x^2 + y^2 = 1...
got it! thank you sm!
.close
slender totem
How would I differentiate $y = \sqrt{x^2 + 1}$ from first principles? I think I remember my teacher saying something about the difference of two squares, but I can't see how that can be applied here.
obtuse pebbleBOT
How would I differentiate $y = \sqrt{x^2 + 1}$ from first principles? I think I ...
warm shaleBOT
William VII
broken bridge
try rationalizing the fraction when you use first principle
slender totem
I've tried just doing $y = \sqrt{(x+h)^2 + 1} - \sqrt{x^2 + 1}$, but that hasn't really gotten me anywhere
warm shaleBOT
William VII
slender totem
try rationalizing the fraction when you use first principle
I haven't gotten to a fraction yet
broken bridge
$y = \frac{\sqrt{(x+h)^2 + 1} - \sqrt{x^2 + 1}}{h}$
warm shaleBOT
exploseph
slender totem
oh yeah
broken bridge
then, $y = \frac{\sqrt{(x+h)^2 + 1} - \sqrt{x^2 + 1}}{h} \cdot \frac{\sqrt{(x+h)^2 + 1} + \sqrt{x^2 + 1}}{\sqrt{(x+h)^2 + 1} + \sqrt{x^2 + 1}}$
warm shaleBOT
exploseph
slender totem
Ok, I'll try that and see where it gets me
I've got $\frac{2x + h}{\sqrt{(x+h)^2+1} + \sqrt{x^2+1}}$
warm shaleBOT
William VII
slender totem
I can just substitute h = 0 in now, right?
slender totem
x^2 + 2xh + h^2 + 1 - x^2 - 1 = 2xh + h^2?
I cancelled out an h from the top and bottom
broken bridge
ah right my bad
broken bridge
I can just substitute h = 0 in now, right?
yea youre right
broken bridge
apologies for me overseeing
broken bridge
glad i could help
slender totem
.close
amber torrent
obtuse pebbleBOT
amber torrent
Does anybody know what the difference is between Lagrange remainder and the big O notation O((x-a)^(n+1))?
royal basin
big O is nonspecific, Lagrange remainder gives an actual expression for the error term in terms of the function
amber torrent
thank you!
obtuse pebbleBOT
Available help channel!
zinc cliff
is there a problem here with my factoring? (im aware the bottom part hasnt been compressed, i just mean the upper parts)
obtuse pebbleBOT
is there a problem here with my factoring? (im aware the bottom part hasnt been ...
cunning plaza
x² - 2x doesn't equal (x-1)(x-1)
you could factor it into x(x-2), if that at all helps
but the two things you factor your binomial into need to multiply together to yield the original binomial
@zinc cliff is that helpful?
zinc cliff
yeye! i see it now
gimme a minute to correct that
would -1 and positive 2 work?
hmm
im looking at the hyperbola for the original equation rn and i cant seem to get them to match
obtuse pebbleBOT
@zinc cliff Has your question been resolved?
tardy epoch
would -1 and positive 2 work?
x^2-ax = x(x-a)
obtuse pebbleBOT
@zinc cliff Has your question been resolved?
obtuse pebbleBOT
timid silo
<@&286206848099549185> am very lost 😦
teal fjord
obtuse pebbleBOT
long sinew
Maybe you are supposed to use "Constant rate" as a clue
teal fjord
well yes
but the graph has to show the depth of the water
not how much the water is leaking
long sinew
Yes, so over time the depth will decrease
teal fjord
so is the answer still A?
long sinew
It would seem so
teal fjord
or could it be D because the shape is a cone
obtuse pebbleBOT
@teal fjord Has your question been resolved?
south geode
deft carbon
what are you having problems with exactly
south geode
I’m having problems starting and just making the equation
I don’t quite understand the concept displayed in the question
deft carbon
well i can try but im not sure my answer will be 100% correct
south geode
That’s fine
deft carbon
most important thing is to remember the minimums and maximums of trig functions
so lets just take sin(x)
south geode
Okay
deft carbon
what values of sin(x) are smallest and largest?
south geode
Like points? I think smallest is -1
south geode
Oh okayy
deft carbon
like no matter what value of x you put in sin(x)
it cant be larger than 1, and cant be smaller than -1
ok now this is tricky but
they want you to create a function with these conditions
- maximum of 22.13
- minimum of 6.08
south geode
Okayy
deft carbon
we will worry about the n'th day of the year later
what way do you propose of achieving this @south geode
answer quickly i gotta sleep
south geode
what way do you propose of achieving this <@708549640865316916>
Sorry I was writing stuff down
south geode
what way do you propose of achieving this <@708549640865316916>
Putting a sin x equation then adding shift values?
Like d and k
deft carbon
no dont worry about shifting values for now
south geode
Oh
south geode
I’m not sure tbh cuz winter and summer different
deft carbon
basically sin(x) has a minimum of -1 and a maximum of 1
so some constant in front of k, added to some other value, must equal
k(1 [max]) + d = 22.13
k(-1 [min]) + d = 6.08
deft carbon
.-.
deft carbon
you got it right (kind of)
like i said i gotta sleep so ill gib the answer now
k = 8.025, d = 14.105
what do these constants mean? well lets look at a curve of ksin(x) + d
south geode
I got H= 8.025 sin (2pi/366(t-80.5))+14.105
deft carbon
ignore the values of x for now cause we havent done anything to them, but notice how this sinusoidal function has a maximum of 22.13, and a minimum of 6.08 like we wanted to
south geode
Thanks a lot
deft carbon
.close
spare vapor
how to fully factor?
obtuse pebbleBOT
how to fully factor?
spare vapor
.close
obtuse pebbleBOT
spare vapor
o wel
obtuse pebbleBOT
Available help channel!
lucid fog
what is 1+1
obtuse pebbleBOT
what is 1+1
steady turtle
hi
gusty kraken
obtuse pebbleBOT
gusty kraken
Kinda just stuck this is my last problem for my final assignment.
obtuse pebbleBOT
@gusty kraken Has your question been resolved?
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
dreamy oasis
obtuse pebbleBOT
dreamy oasis
can anyone help?
obtuse pebbleBOT
@dreamy oasis Has your question been resolved?
dreamy oasis
<@&286206848099549185>
obtuse pebbleBOT
@dreamy oasis Has your question been resolved?
broken bridge
@dreamy oasis try using tangent properties.
i.e. If a point outside of circle touches the circle at two diffrerent point, the two distance would be the same
in this case, ET=ES
you can also use this rule in other points of tangency
dreamy oasis
okok ty
obtuse pebbleBOT
@dreamy oasis Has your question been resolved?
obtuse pebbleBOT
stray hatch
I don't get how x + y > 5 became y > -x + 5 and y = -x +5
obtuse pebbleBOT
I don't get how x + y > 5 became y > -x + 5 and y = -x +5
@stray hatch Has your question been resolved?
stray hatch
<@907240687077052427> Has your question been resolved?
no
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
wispy bramble
Can anyone help me solve this, it's asking to determine the transfer function and the poles and zero of the system. Not too sure what to do as this is a new subject I'm being taught poorly
obtuse pebbleBOT
Can anyone help me solve this, it's asking to determine the transfer function an...
vernal wren
Can anyone help me solve this, it's asking to determine the transfer function an...
Check this out
obtuse pebbleBOT
@wispy bramble Has your question been resolved?
wispy bramble
Yh I don't really get it despite watching the example relevant to my question
vernal wren
Did you get how to find the transfer function?
vernal wren
Did you get how to find the transfer function?
If you did then you can check out this to find the poles and zeros
wispy bramble
Did you get how to find the transfer function?
Not really
Would 5(dy/dt) go to [5sy(s)-y(5)]
vernal wren
Not really
Would 5(dy/dt) go to [5sy(s)-y(5)]
5sy(s)-5y(0) i think
Might wanna tag the helpers here as I haven't done this in a while and I'm learning from the vid as well
wispy bramble
<@&286206848099549185> I'm kinda stuck as this is a new topic for me
This is what I've done so far
Not sure if this is right
<@&286206848099549185>
<@&286206848099549185>
obtuse pebbleBOT
@wispy bramble Has your question been resolved?
opal totem
how do you find the equation of an already graphed circle
obtuse pebbleBOT
how do you find the equation of an already graphed circle
opal totem
broken bridge
find its centre by drawing two diameters i guess
assuming its tangent to y=2, y=-6, x=-1, x=7
obtuse pebbleBOT
@opal totem Has your question been resolved?
opal totem
.close
obtuse pebbleBOT
obtuse pebbleBOT
Available help channel!
small iron
Hi everyone! I don't know if this is the right channel where to ask this, so if it isn't, I'm sorry
I'm currently studying successions and I was thinking: Can I write a function like f(x) = f(x-1) + 1?
obtuse pebbleBOT
Hi everyone! I don't know if this is the right channel where to ask this, so if ...
brittle blaze
Hi everyone! I don't know if this is the right channel where to ask this, so if ...
Is f(x) defined?
small iron
Is f(x) defined?
Ooooh ok I got why I can't do it
I can only write successions if the value is defined, right?
split light
Hi can you guys help me with this please. Idk how to solve it
obtuse pebbleBOT
Hi can you guys help me with this please. Idk how to solve it
tall turtle
Hi can you guys help me with this please. Idk how to solve it
try writing out the first few terms of the series
split light
1 -3 +6 -10 + 15
tall turtle
uhh
check that again
its squares right
not the sum
like say n is a super big number
just keep going
it should be
split light
1 -3 +6 -10 + 15
o I did n=5 thats why
split light
yes you are right
split light
ohhhh i see
cedar gull
how to get out now
..
u cant just seperate them
@split light
is there any question behind it?
split light
I dont know how to separate them
cedar gull
speaking of the question
where u find tihs
what exercice
it can be related
plus there are 2 ways that u need to go threw
if j=2k and if j=2k+1
show me the whole exercice
cedar gull
there is probleme in that sum
outer hatch
Find the eqn of the elipse whose foci at (4,6) and (-6,6) one vertex at (5,6)
cedar gull
wat
split light
?
cedar gull
i think he is dreaming
outer hatch
i think he is dreaming
Find the eqn of the elipse whose foci at (4,6) and (-6,6) one vertex at (5,6)
cedar gull
bruh
cedar gull
solve it then
outer hatch
solve it then
How ?
split light
he's sending it to every channel
cedar gull
he is acting like a b ass
vicoo
i dontt think we can solve taht
sry
i rly think that there is a probleme
split light
symbolab gives me this
cedar gull
symbolab gives me this
ive gone to symbolab too 
cedar gull
u gona get a fat error now boy
split light
hahahah
split light
thanks anyways dude, i've been trying to solve this for the past hour
glossy ermine
h
nocturne minnow
Where are you stuck on?
glossy ermine
i keep trying to do the question from a tutorial
i think i mess up when i am taking away the 31.9 off 79.2
i think the tutorial might be wrong
naive owl
8.9 is the height not the hyptonuse
glossy ermine
i know
im trying to work out the hyptonuse
can someone please work it out for me
and then send me their method
craggy cave
Hello guys 👋 if you can please help me to solve problem of real analysis 🥺
glossy ermine
@naive owl would it be 10.6?
naive owl
Hello guys 👋 if you can please help me to solve problem of real analysis 🥺
maybe u can use that real analysis and find an open channel
glossy ermine
what did you use to work it out?
clear cloak
or would it be 5.7^2?
Only round up in the last stage of any mathematical problem.
glossy ermine
so answer is 5.5?
wary magnet
would this be 30.1?
Yes
wary magnet
5.5
obtuse pebbleBOT
@glossy ermine Has your question been resolved?
pliant schooner
obtuse pebbleBOT
gloomy valve
@pliant schooner You can actually use both, but the washer/disk method might be more intuitive if you rotate around x-axis
naive owl
,w plot -\sqrt{x-x^{2}}
warm shaleBOT
naive owl
like this?
obtuse pebbleBOT
@pliant schooner Has your question been resolved?
tribal iris
obtuse pebbleBOT
tribal iris
I tried taking ln of both sides
But i get stuck after that
What am I supposed to do?
tardy epoch
🏥
dreamy scroll
re write $2x\ln(x) = \frac{\ln(x)}{\frac{1}{2x}}$
warm shaleBOT
JamesH
tribal iris
re write $2x\ln(x) = \frac{\ln(x)}{\frac{1}{2x}}$
Thanks alooooot
pallid flame
le hospital
tribal iris
My bad
pallid flame
🥖🏥
tribal iris
tribal iris
le hospital
Something like this?
dreamy scroll
you dont have to differentiate both sides
lhopitals says if L = lim f(x)/g(x) = '0/0' or 'inf/inf' then L = lim f'(x)/g'(x)
tribal iris
pallid flame
ye
warm shaleBOT
please request a new nickname
obtuse pebbleBOT
supple pumice
For a 2 dimensional vector space.
dreamy scroll
what are the requirements for T to be diagonalizable?
supple pumice
To find one more eigenvector
dreamy scroll
why one more? what eigenvector do we currently have?
supple pumice
I figured that if v is an eigenvector for 2, then if I find another eigenvector linearly independent from v then T is diagonalizable?
dreamy scroll
that sounds right to me, i was thinking about it differently but there are so many equivalent things to diagonalizability
are you studying from axler?
supple pumice
yeah
dreamy scroll
what exercise is this?
supple pumice
oh, this was actually a midterm question that I couldnt solve, and I'm trying to work it out right now.
dreamy scroll
ill do a bit of reading, i feel like ive done this exact problem before
supple pumice
ahh thanks im still trying myself
obtuse pebbleBOT
Available help channel!
livid zinc
hello
supple pumice
hey
livid zinc
hi
but im not sure which length to use
L or K
@supple pumice are you here?
where is that?
okay.
supple pumice
livid zinc
its quite inactive
supple pumice
oh thats interesting
livid zinc
are you not able to do that?
supple pumice
no i was using this channel and then it seems to have closed without me knowing
strong vale
obtuse pebbleBOT
dreamy scroll
how did you determine there were no solutions to b)?
strong vale
how did you determine there were no solutions to b)?
Well at $x=1$, $\ln(1) = 0$ and $-\frac{1}{2x} = -\frac{1}{2}$
warm shaleBOT
azeem321
strong vale
Derivative of ln(x) is 1/x
and derivative of -1/2x is 1/2x^2
wait that doesnt prove anything
Well, I guess it's just easier to consider $x\ln{x} = -\frac{1}{2}$
warm shaleBOT
azeem321
obtuse pebbleBOT
@strong vale Has your question been resolved?
obtuse pebbleBOT
@strong vale Has your question been resolved?
strong vale
<@&286206848099549185>
obtuse pebbleBOT
@strong vale Has your question been resolved?
finite vector
For (d) have a look at $f\left(ln\left(\frac1{x}\right)\right)$
warm shaleBOT
newbienoob
obtuse pebbleBOT
@strong vale Has your question been resolved?
tepid depot
im a bit confused on how the answer is 57.5
obtuse pebbleBOT
im a bit confused on how the answer is 57.5
robust sleet
what did u try
tepid depot
sin(35) * 33