But we are missing half of it?
#help-36
thorn grotto
What did you get for PRS?
thorn grotto
Yeah
frozen sparrow
Sorry lmao Im just confused
thorn grotto
So whats QRS?
frozen sparrow
180-(35+42+48) = 55
thorn grotto
Its QRP + PRS
frozen sparrow
180-83 = 97?
thorn grotto
Yup
thorn grotto
PSQ can be found with bottom left theorem
frozen sparrow
Yeah I think I did that one few times
I was confused my bad
I thought we did all four
PSQ = 35?
thorn grotto
Yeah
frozen sparrow
Oh thanks !
So in total POS = 180-(42+42) = 96 PRS = 96/2 = 48 QRS = 35+48 = 83 SPQ = 180-83 = 97 PSQ = bottom left in the picture theorem = 35
Thank you jelle now I understand
I wanted to summerize it to send it to my classmates if they can understand this lol
.close
final saddleBOT
final saddleBOT
Available help channel!
fast reef
final saddleBOT
fast reef
not sure how to do this
like whats sufficient to show that fa,b(x) is defined and that fa,b(x) is in Xb for all x in Xa?
final saddleBOT
@fast reef Has your question been resolved?
final saddleBOT
@fast reef Has your question been resolved?
final saddleBOT
@fast reef Has your question been resolved?
final saddleBOT
@fast reef Has your question been resolved?
abstract relic
I need help with this power series question, to find interval of
convergence and the radius of convergence.
final saddleBOT
I need help with this power series question, to find interval of
convergence an...
vital crag
There's no x
muted prairie
final saddleBOT
@abstract relic Has your question been resolved?
sonic crystal
How do you factorise a phase shift so you actually find the correct one, like for example y = sin(2x-pi/6)
final saddleBOT
How do you factorise a phase shift so you actually find the correct one, like fo...
tiny gorge
can you clarify what you mean by "find the correct one"?
if you plug in x=0 then you get sin(-pi/6), so the phase shift is -pi/6, no?
(or +pi/6 depending on how you define phase shift)
cobalt lodge
unless you are being asked to describe transformations in a fixed order you can do everything anyway you want
sonic crystal
if you plug in x=0 then you get sin(-pi/6), so the phase shift is -pi/6, no?
(or...
Why is this so?
because you do
Bx + c = 0
final saddleBOT
@sonic crystal Has your question been resolved?
final saddleBOT
final saddleBOT
Available help channel!
cyan solstice
How do I find the vertex of y=-4.9x^2+20.58x+1.4
final saddleBOT
How do I find the vertex of y=-4.9x^2+20.58x+1.4
last helm
use the formula -b/2a
cyan solstice
What’s that?
last helm
its the line os symmetry formula but you can also use it to get the x in the vertex
(x,y)
last helm
i mean that would work
but using theformula is much faster and easier
no actually that wouldnt really work
either turn it into vertex form (which is difficult because u have decimals) or use the formula
cyan solstice
How would I use the formula? My teacher has never taught it
last helm
this y=-4.9x^2+20.58x+1.4 is in the form: ax^2+bx+c
a=4.9
b=20.58
c=1.4
inout these values in the formula
-(20.58)/2(4.9)
cyan solstice
Is it the quadratic formula?
last helm
no
last helm
you dont need to use the c because it's not part of the formula
cyan solstice
Ohhh
last helm
-b/2a
cyan solstice
So that’s the x of the vertex right? And then I just put it back into the equation to find the point of the vertex?
cyan solstice
OMG THXXXX
last helm
and get y
cyan solstice
GENIUS
last helm
and that y is the y in (x,y) of vertex
cyan solstice
ILY
last helm
not a problem
buoyant dome
How did this conversion happen?
final saddleBOT
How did this conversion happen?
ivory vessel
separate the numerator
then move everything but 2/y to rhs
$\frac{y-2}{y}=ce^{2x} \newline \leftrightarrow \frac{y}{y}-\frac{2}{y} = ce^{2x}$
soft zealotBOT
FungusDesu
ivory vessel
$\leftrightarrow 1 - \frac{2}{y} = ce^{2x} \newline \leftrightarrow \frac{2}{y} = 1 - ce^{2x}$
soft zealotBOT
FungusDesu
brazen mesa
final saddleBOT
brazen mesa
is there an algebraic method to solve this?
tranquil pine
Hmm
brazen mesa
I can do it through trial an error, but is there a better way?
brazen mesa
something my young niece has asked me for help on, and I've shown her how to do it but I'm curious that there's probably a better way
brazen mesa
I did it the luddite method, 75(11/15) -1 = 54 and so on...
ivory vessel
honestly these kind of exercises can only be solved by randomly plugging in numbers and pray that it works
tranquil pine
But there most likely has a better way
ivory vessel
either that or theres some formula for it that you 90% dont know about
tranquil pine
But if anything just take the simple way for it
brazen mesa
ok I didn't know if you could group the terms in some way, but since the input to the next day is the output from the previous it's probably more of a function approach?
sequence seems to be 11/15 -> 5/6 -> 3/4 -> 1/2 -> 3/5 -> 1/4
for reference
ok guys thanks for your help I'll just close this but if you happen to figure out another way please feel free to message me as I'm all ears
.close
thick forum
this is supposed to be easy but I don't even know where to start
final saddleBOT
this is supposed to be easy but I don't even know where to start
thick forum
like I know how to make the table but I don't know what I'm supposed to do once I put down the formula
stone wagon
okay, do you know how to apply it here?
thick forum
I'll show you what I did with my first question
stone wagon
oki
thick forum
stone wagon
,rccw
soft zealotBOT
stone wagon
for std deviation?
thick forum
yeah I'm confused
stone wagon
$\sqrt{\frac{\Sigma f_x(x-\mu)^2}{\Sigma f}}$
soft zealotBOT
artemetra
soft zealotBOT
artemetra
thick forum
that's what I do?
stone wagon
that's what I do?
you found both numerator and denominator so i don't see why not
thick forum
okay thank you!!
upper oak
is this correct? x≈73.98 meters and y≈46.02
A wood that is 120 meters in length is needed to be cut into two parts such that the ratio
of the parts constitutes the Golden Ratio. What must be the lengths of the woods?
final saddleBOT
is this correct? x≈73.98 meters and y≈46.02
A wood that is 120 meters in length...
@upper oak Has your question been resolved?
final saddleBOT
@upper oak Has your question been resolved?
upper oak
done w that
wut bout dis? For the given function, f(x) = x² – 4x +3, g(x) = x – 1, find the following:
a. f(-5)
b. g(7)
c. f(g(x))
d. g(f(x))
final saddleBOT
@upper oak Has your question been resolved?
buoyant comet
Can someone help me with this task pls:
Determine all integers n for which real numbers x,y exist in such a way that the following equations are satisfied:
x+y=n
x³+y³=n²
final saddleBOT
Can someone help me with this task pls:
Determine all integers n for which real ...
buoyant comet
@flint bobcat
@strong mirage
pls help me
@soft zealot
@upper oak
@tranquil pine
final saddleBOT
@buoyant comet Has your question been resolved?
final saddleBOT
@buoyant comet Has your question been resolved?
final saddleBOT
@buoyant comet Has your question been resolved?
flint marsh
How to show that $\frac{\pi}{4} \leq \sum_{n=1}^{\infty} \frac{1}{n^{2} + 1} \leq \frac{\pi}{2} + \frac{\pi}{4}$
final saddleBOT
How to show that $\frac{\pi}{4} \leq \sum_{n=1}^{\infty} \frac{1}{n^{2} + 1} \le...
soft zealotBOT
texaspb
flint marsh
I need some help
I know that $\int_{0}^{\infty} \frac{1}{x^{2} + 1} = \frac{\pi}{2} + \frac{\pi}{4}$
soft zealotBOT
texaspb
flint marsh
by the integral test
but
I don't know how to use that
in my proof
I have a feeling that it could be useful lol
final saddleBOT
@flint marsh Has your question been resolved?
final saddleBOT
final saddleBOT
Available help channel!
buoyant yarrow
Help
ivory vessel
,rotate
soft zealotBOT
final saddleBOT
@buoyant yarrow Has your question been resolved?
wind river
final saddleBOT
wind river
in my practice questions
dont know how to go about this as the method in the openstax textbook doesnt really make sense to me
final saddleBOT
@wind river Has your question been resolved?
drowsy token
can someone explain how did this happen?
final saddleBOT
can someone explain how did this happen?
@drowsy token Has your question been resolved?
final shadow
Hi
final shadow
I have this equation
And want to find for what values of b will get me a graph with 3 zeroes
I started by plugging in 0 as y, but dont know where to go next
bc that leaves me with x^2 = b^x
final shadow
And want to find for what values of b will get me a graph with 3 zeroes
my answer for this question will be an inequality*
any help is appreciated : D
final saddleBOT
@final shadow Has your question been resolved?
final saddleBOT
@final shadow Has your question been resolved?
final saddleBOT
@final shadow Has your question been resolved?
fathom stream
final saddleBOT
fathom stream
How would you do this
formal trail
do you know how to take a dot product?
fathom stream
do you know how to take a dot product?
n * v = 0
oh so im dumb i get it means n and v are orthogonal
.close
umbral vault
so my teacher said
final saddleBOT
so my teacher said
umbral vault
we need to evaluate log using its laws and properties
for the exam
is this like not equations
idk what he mean by that
cuz he gave us a list
one said solve log and exponential equations
and a different part of the list said evaluate log using it laws
same thing?
random forge
probably
hexed oriole
This isn't math related but does anyone know how to add a horizontal line onto an excel line graph
final saddleBOT
This isn't math related but does anyone know how to add a horizontal line onto a...
hexed oriole
Like a flat line with an intercept at y=2 for example
while there's already a line graph on there
indigo plover
final saddleBOT
indigo plover
hey
what exactly should i do here again
like i saw a picture of change bas e rule
but i dont relaly understand
Like what is the c base
flint kettle
Whatever you like
indigo plover
really?
flint kettle
Yep
grand kiln
you have a calculator?
indigo plover
yes
grand kiln
use it then
indigo plover
Ok
somber path
final saddleBOT
somber path
.close
final saddleBOT
somber path
.close
final saddleBOT
Available help channel!
fossil zodiac
help
formal trail
use the pythagorean identity
rancid turtle
you made a mistake. The part after minus donnot have 1+cosx.
fossil zodiac
use the pythagorean identity
I do not have cos2x
fossil zodiac
you made a mistake. The part after minus donnot have 1+cosx.
huh
rancid turtle
you cannot simply like that.
fossil zodiac
why
rancid turtle
Only when all the terms up are mutiplied toghter can you divide 1+cosx at the same time.
sry for my poor English
fossil zodiac
So the second step is wrong
rancid turtle
Yes
fossil zodiac
sry for my poor English
Its okey
fossil zodiac
Only when all the terms up are mutiplied toghter can you divide 1+cosx at the sa...
okey I understood it now
thank you
.close
final saddleBOT
sonic crystal
also im pretty sure u differentiated it wron
final saddleBOT
Available help channel!
main sage
My friend has a car, its dimensions are
Length: 14.7ft -> 15.0 ft
Width : 5.7ft -> 6.0 ft
The garage gate is around 7.5 ft Wide
The Street Road perpendicular to the Gate has 14ft of space,
One end of the Gate is perpendicular to the Wall, so there is'nt much space for him to turn the car freely.
How Wide should he extend his gate so he can easily take out his car in and out, of the Garage Gate.
final saddleBOT
My friend has a car, its dimensions are
Length: 14.7ft -> 15.0 ft
Width : 5.7...
@main sage Has your question been resolved?
ivory beacon
If I have a integer x and raise it to the power of n (n is a positive integer) and this is a multiple of 10 is x a multiple of 10
final saddleBOT
If I have a integer x and raise it to the power of n (n is a positive integer) a...
sturdy cypress
yes
supple jolt
Yes
ivory beacon
is there a proof for this it seems self explanatory
desert mantle
if 2 divides x^n, then 2 divides x cause 2 is a prime
same for 5
being a multiple of 10 means that its divisible by 2 and 5
ivory beacon
thank you i thought it’d be something to do with prime factors just wasn’t sure exactly what
.close
final saddleBOT
final saddleBOT
Available help channel!
merry plaza
how do you verify sec(x)-sec(x)*sin^2(x) = cos^2(x) using the pythagorean identity?
final saddleBOT
how do you verify sec(x)-sec(x)*sin^2(x) = cos^2(x) using the pythagorean identi...
merry plaza
whoops sorry i meant -sec(x)*sin^2(x)=cos^2(x)
merry plaza
yeah LOL
muted granite
you solved it :D?
merry plaza
nah im stuck on why they are equal
weary junco
hmmmm
muted granite
hmm
weary junco
lemme see
muted granite
😄
weary junco
i think this is only true for certain values of x
cant be proven by the pythagorean theorem then
merry plaza
the full question is to verify: secx-secx*sin^2x=cosx
i guess i was going about it the wrong way but i cant find out how to verify it
weary junco
the full question is to verify: secx-secx*sin^2x=cosx
I see
let me give it a shot
done
ill send a pic
discord aint letting me take a picnjfehoabnfoinv
@merry plaza
its definitely true
just plug in sides for each ratio first
merry plaza
.close
final saddleBOT
final saddleBOT
Available help channel!
tranquil pine
how does this step work? How can you go from the expression 27/n^3 * n(n+1)(2n+1)/6 to 54/6?
final saddleBOT
how does this step work? How can you go from the expression 27/n^3 * n(n+1)(2n+1...
tranquil pine
If you were to multiply it out individually, I don't think the ns would cancel each other out
wraith crater
as n tends to infinity that $\frac{n(n+1)(2n+1)}{n^3}$ tends to 2
soft zealotBOT
$Pure$
tranquil pine
as n tends to infinity that $\frac{n(n+1)(2n+1)}{n^3}$ tends to 2
I believe you, but why does Wolfram Alpha say this?
wraith crater
you didn't enter the whole thing
tranquil pine
oh right
wraith crater
where is /n^3
wraith crater
because u have the 6 in there...
tranquil pine
yeah but isn't that part of the formula
whatever, I can just use this. Thank you
hidden birch
ok
final saddleBOT
@tranquil pine Has your question been resolved?
daring pendant
final saddleBOT
daring pendant
So I know the gradient of a function points in the direction we need
The direction of maximum increasing slope
But how do I find the values we need? Is it 4 and 12?
I think so but I’m unsure
No no that’s Fx
The partials
daring pendant
<@&286206848099549185>
final saddleBOT
@daring pendant Has your question been resolved?
daring pendant
Ran into the same issue here
<@&286206848099549185> please babes
I finished everything on my homework but these 2 (:
gentle berry
I did homework like this recently, I'll see if I have anything in my notes that can help
for part a, the answer is the dot product of the gradient and the vector (it is already a unit vector), looks like that is what you did just you plugged in a number wrong
@daring pendant
daring pendant
for part a, the answer is the dot product of the gradient and the vector (it is ...
wdym?
what exactly is the maximum directional derivativr
daring pendant
you plugged in -4 instead of 7
right
but what exactly is a maximum directional derivative
gentle berry
you want to find a unit vector so that the dot product of that vector and your gradient is maximized
i think there is a fancy way to do it, but in this case it might not be so bad to set up a system of equations
could call the vector <i,j> where i^2 + j^2 = 1, and maximize <i,j> * <2,7>
i don't actually remember the fancy way to do this
final saddleBOT
@daring pendant Has your question been resolved?
grim dirge
If I had a function such as f(x) = the root square of (x - 2), and I evaluate the function at x = 6, the function will result on the root square of 4. Since the result to this can be either 2 or -2 (-2^2 = 4 too), why the function will always use the point (6, 2) and not (6, -2)?
final saddleBOT
If I had a function such as f(x) = the root square of (x - 2), and I evaluate th...
tranquil pine
The square is defined as the positive value
x^2=4 had indeed 2 solutions (2 and -2)
But the square root is always defined as the positive solution
So thats why
wide maple
Block A has velocity 10m/s, and a mass of 8 grams. Neglect friction, and then it hits block B, which was at rest, and has a mass of 2grams. What is the final velocity of block A
final saddleBOT
Block A has velocity 10m/s, and a mass of 8 grams. Neglect friction, and then it...
wide maple
I have that m1v1i = m1v1f + m2v2f
And that m1v1i = 80 kgm/s
But I don't know how to find the 2 unknown v finals
final saddleBOT
@wide maple Has your question been resolved?
red leaf
let P be a polynomial fuction and p(x)=x^4-mx^3+4x^2-6x+8 if (x-2) is a factor what is value of m?
help?
final saddleBOT
let P be a polynomial fuction and p(x)=x^4-mx^3+4x^2-6x+8 if (x-2) is a factor w...
sour umbra
(x-2) is a factor, what does that say about 2?
red leaf
(x-2) is a factor, what does that say about 2?
i plug in 2 for x?
sour umbra
yes, but do you know what p(2) is?
We do know that it's a factor for your polynomial.
soft zealotBOT
Result:
28
,calc (2)^3
soft zealotBOT
Result:
8
The following error occured while calculating:
Error: Unexpected end of expression (char 5)
red leaf
,calc 7/2
soft zealotBOT
Result:
3.5
yep
sour umbra
plug in to see which one works
sour umbra
yep
sour umbra
You're solving for m right?
m should only take one value
(x-2) is a factor of p means that 2 is a root of p
then p(2)=0
final saddleBOT
@red leaf Has your question been resolved?
hardy hollow
is my work correct?
final saddleBOT
is my work correct?
final saddleBOT
@hardy hollow Has your question been resolved?
umbral vault
how to find cube root
final saddleBOT
how to find cube root
random forge
press the math button, then press 4
hazy aurora
shut gazelle
Math, option 5, you can do any root
umbral vault
wow thnxs
random forge
(just google questions like this)
final saddleBOT
@umbral vault Has your question been resolved?
cosmic quartz
t^2/20+8=15
final saddleBOT
t^2/20+8=15
zinc geyser
$\frac{t^2}{20} + 8 = 15$
soft zealotBOT
Bettim
zinc geyser
right?
cosmic quartz
ye
zinc geyser
subtract 8 on both sides
cosmic quartz
yea
zinc geyser
what do you get
cosmic quartz
t^2/20 = 7
cosmic quartz
t^2=140
zinc geyser
now take square root on both sides
zinc geyser
first prime factorise it
$\sqrt{140} = \sqrt{2 \times 2 \times 5 \times 7}$
right?
soft zealotBOT
Bettim
cosmic quartz
yeah that makes sense
zinc geyser
since there is 2 twos, we can seprate them as it is a perfect square
$= \sqrt{2\times 2} \times \sqrt{5 \times 7}$
soft zealotBOT
Bettim
zinc geyser
makes sense?
cosmic quartz
so by prime factorise it you mean by like
be able to multiply up to 140
with only
prime numbers
zinc geyser
yes
cosmic quartz
so it would be just 2 and then square root of 35
zinc geyser
yes
cosmic quartz
alright I guess that makes sense
zinc geyser
your accurate answer is $\pm 2\sqrt{35}$
soft zealotBOT
Bettim
soft zealotBOT
final saddleBOT
dawn shell
cosmic quartz
I think you gotta do .open
final saddleBOT
Available help channel!
final saddleBOT
cosmic quartz
u got no roles thats why
final saddleBOT
Available help channel!
mellow vale
hi
versed crater
Integrals see under the x axis as negative area
But that makes no sense how can you have negative area
mellow vale
ok wait
lets say
ik that total area u add
and net area u subtract
the total area here
is 5 + (-1)
whihc is 4
and the net area is
5--1
whihc is 6
versed crater
The other way round
versed crater
Total >= net
mellow vale
ah
always?
but the derivative of the negative part is a negative number
isnt net area always the subtraction
formal trail
you always add the areas. in net area you just add them, in total area you add the absolute value
versed crater
Net usually means after all the “reductions”
versed crater
Like net income is the money you have after tax and whatnot
mellow vale
is it always goign to be negative?
versed crater
The integral is negative
Area cannot be negative
Area is a non negative measurement
Just like length
You can’t be -1m tall
fast nova
Can someone tell me how to check if this equation has a solution in the F_3?
final saddleBOT
Can someone tell me how to check if this equation has a solution in the F_3?
@fast nova Has your question been resolved?
tulip coyote
Well seeing that 3 is pretty small, you could run through all possibilities and see if you get any x such that x^2 + 1 = 0 mod(3)
fast nova
I have a doubt, is it the ring of integers modulo 3?
fast nova
Okay so can you tell me what are those elements in F_3, and how to compute that?
is it 0, 1, 2?
tulip coyote
Yep those are fine 
fast nova
Yep those are fine <:catThumbsUp:662911317090369546>
so that means it does not have any solution for the equation right?
fast nova
Yep those are fine <:catThumbsUp:662911317090369546>
can I say since F7 is isomorphic to the ring Z7, and Z7 is an integral domain, there can not be any possible solution in F7
tulip coyote
so that means it does not have any solution for the equation right?
You won't get any sure
tulip coyote
can I say since F7 is isomorphic to the ring Z7, and Z7 is an integral domain, t...
Not quite no 
fast nova
ohhhh
so then how can there be any solution if F7 contains the elements 0,1,2,3,4,5,6 none of these satisfy the equation
then what is the point of this question, also I think I am not able to understand how these elements are realised in these Fp's. Could you explain how that is done?
tulip coyote
so then how can there be any solution if F7 contains the elements 0,1,2,3,4,5,6 ...
How do you know? Remember you're basically asking in F7, which elements x are such that x^2 + 1 is divisible by 7
[none of them do]
fast nova
ohhh so all I have to do is to find elements x in these Fps such that x^2 + 1 is divisible by p?
tulip coyote
then what is the point of this question, also I think I am not able to understan...
Well, there actually happens to be something you can say about whether there are any solutions in the ring F_p based on the prime p
fast nova
Well, there actually happens to be something you can say about whether there are...
what is that?
tulip coyote
ohhh so all I have to do is to find elements x in these Fps such that x^2 + 1 is...
Yep, that's basically the aim (there are shortcuts you can take too for some: e.g. for F7, if you want to test directly, only test 0, 1, 2, 3, because 4 = -3, 5 = -2 and 6 = -1)
tulip coyote
what is that?
Well, I can't say, gotta make you suffer a tiny bit 
Did you get solutions for F5 or not?
fast nova
Well, I can't say, gotta make you suffer a tiny bit <:catGiggle:6689487177720791...
sure thanks tho youve been very helpful
fast nova
Did you get solutions for F5 or not?
just writing it down
fast nova
Did you get solutions for F5 or not?
2 and 3?
fast nova
Yep <:catThumbsUp:662911317090369546> those work <:catGiggle:668948717772079128>
hehehhehehe
thanks
I will retake this course, I hate this tho, is micheal artin's book a good place to start?
tulip coyote
Good question, don't think I've read it 
I've mostly used Atiyah' Commutative Algebra for what it's worth
fast nova
Good question, don't think I've read it <:sadcat:1073406457220956170> I've mostl...
anything that is beginner friendly, cuz I swear on my life I have no clue what this is ? I love maths but is it possible to love math without loving abstract algebra?
tulip coyote
sure thanks tho youve been very helpful
What I will say here though is two things:
if you have x^2 + 1 = 0, then x^2 = -1 and x^4 = 1, and
Fp is a field, so the group of units has size (p-1)
tulip coyote
anything that is beginner friendly, cuz I swear on my life I have no clue what t...
yeaa not sure whether that book is really "beginner friendly" as it assumes you remember a lot of prior definitions 
and it definitely is possible (though I'm not one of those people )
fast nova
What I will say here though is two things:
if you have x^2 + 1 = 0, then x^2 = -...
umm you can still solve it by going the bruteforce way right?
tulip coyote
umm you can still solve it by going the bruteforce way right?
You can for small p's (but for larger ones, your life gets a bit harder)
Given the choices of p they gave you, they haven't really given a good chance for you to spot the pattern tbh
fast nova
Given the choices of p they gave you, they haven't really given a good chance fo...
thank god, Iol
anyways thank you
Also you will be here right like once in a while, I will be having a lot of doubts
like if you are free, you could consider helping me hehe
tulip coyote
I'll keep an eye out for you when I'm lurking 
tulip coyote
Well, there actually happens to be something you can say about whether there are...
[by the way: this here is that you have solutions iff ||p = 1 mod(4), if the hint wasn't clear enough!||]
final saddleBOT
@fast nova Has your question been resolved?
tranquil pine
can someone explain bayes theorem to me
final saddleBOT
can someone explain bayes theorem to me
tranquil pine
also (Probabilities of unions and intersections: You should know how to calculate the probabilities
of unions and intersections of events, even when the events are not independent or mutually
exclusive. In particular you should know how to compute conditional probabilities.) what else could they be if not mutually exclusive or independent
STATISTICS
Suppose you roll 3 fair die. Determine the sample space and the size of the event space - what does this mean how do I do it
<@&286206848099549185>
final saddleBOT
@tranquil pine Has your question been resolved?
tranquil pine
<@&286206848099549185>
final saddleBOT
@tranquil pine Has your question been resolved?
tranquil pine
no one ever answers my questions
final saddleBOT
no one ever answers my questions
vale flame
I will
ancient thistle
ancient thistle
no one ever answers my questions
Maybe you're learning advanced math that no one knows how to answer 
tranquil pine
3000 level
it’s pretty common in college though
it’s all above
but that’s just normal statistics
idk how to do
ancient thistle
Let's see if I can answer
tranquil pine
Suppose you roll 3 fair die. Determine the sample space and the size of the even...
ik what this is
ancient thistle
How about using stochastic matrices to solve it
lyric summit
Ω = {(x,y,z): x,y,z,∈ {1,2,3,4,5,6}}, then the size is 6x6x6 = 216
final saddleBOT
@tranquil pine Has your question been resolved?
tranquil pine
How about using stochastic matrices to solve it
what that
fleet jolt
I have some math stuff that in class I couldnt understand,
could you teach me the formula of how to solve these types of problems?
basically I have a number and every certain ammount of time i loose a number of that
can you help me?
ancient thistle
Hello
ancient thistle
.close
final saddleBOT
hybrid heath
bye
supple jolt
ancient thistle
.reopen
final saddleBOT
✅
grand kiln
hi again
stone wagon
$\mathfrak{F}$
soft zealotBOT
artemetra
ancient thistle
What does it mean?
stone wagon
$\mathfrak{a}\mathfrak{b}\mathfrak{c}\mathfrak{d}\mathfrak{e}\mathfrak{f}\mathfrak{g}\mathfrak{h}\mathfrak{i}\mathfrak{j}\mathfrak{k}\mathfrak{l}\mathfrak{m}\mathfrak{n}\mathfrak{o}\mathfrak{p}\mathfrak{q}\mathfrak{r}\mathfrak{s}\mathfrak{t}\mathfrak{u}\mathfrak{v}\mathfrak{w}\mathfrak{x}\mathfrak{y}\mathfrak{z}\mathfrak{A}\mathfrak{B}\mathfrak{C}\mathfrak{D}\mathfrak{E}\mathfrak{F}\mathfrak{G}\mathfrak{H}\mathfrak{I}\mathfrak{J}\mathfrak{K}\mathfrak{L}\mathfrak{M}\mathfrak{N}\mathfrak{O}\mathfrak{P}\mathfrak{Q}\mathfrak{R}\mathfrak{S}\mathfrak{T}\mathfrak{U}\mathfrak{V}\mathfrak{W}\mathfrak{X}\mathfrak{Y}\mathfrak{Z}$
soft zealotBOT
artemetra
stone wagon
What does it mean?
it's just a script
$\mathcal{a}\mathcal{b}\mathcal{c}\mathcal{d}\mathcal{e}\mathcal{f}\mathcal{g}\mathcal{h}\mathcal{i}\mathcal{j}\mathcal{k}\mathcal{l}\mathcal{m}\mathcal{n}\mathcal{o}\mathcal{p}\mathcal{q}\mathcal{r}\mathcal{s}\mathcal{t}\mathcal{u}\mathcal{v}\mathcal{w}\mathcal{x}\mathcal{y}\mathcal{z}\mathcal{A}\mathcal{B}\mathcal{C}\mathcal{D}\mathcal{E}\mathcal{F}\mathcal{G}\mathcal{H}\mathcal{I}\mathcal{J}\mathcal{K}\mathcal{L}\mathcal{M}\mathcal{N}\mathcal{O}\mathcal{P}\mathcal{Q}\mathcal{R}\mathcal{S}\mathcal{T}\mathcal{U}\mathcal{V}\mathcal{W}\mathcal{X}\mathcal{Y}\mathcal{Z}$
soft zealotBOT
artemetra
stone wagon
oh shit lol
ancient thistle
I reckon nabla
soft zealotBOT
artemetra
stone wagon
I reckon nabla
what does nabla have to do with it
ancient thistle
I meant to say there was a symbol that I recognize
stone wagon
ah okay
ancient thistle
What does C and C^1 mean there though?
stone wagon
C - continuous
C^1 - differentiable at least once
C^n - differentiable at least n times
stone wagon
np
final saddleBOT
final saddleBOT
Available help channel!
final saddleBOT
final saddleBOT
@silver wasp Has your question been resolved?
queen crescent
How do u graph -2x⁴+x³+9x²-4x-4 with an x intercepts of ±2, -1/2, 1 and y intercept of -4?
final saddleBOT
How do u graph -2x⁴+x³+9x²-4x-4 with an x intercepts of ±2, -1/2, 1 and y interc...
soft zealotBOT
Ab
split yacht
so it must cross -2, -1/2, 1 and 2 on the x-axis
and -4 on the y-axis
finally, it's positive before -2 on the x-axis
since as you approach x=-2 (from the left side), you have something like
$(x+2)(x+1/2)(x+1)(x-2)=(-)\cdot (-)\cdot(-)\cdot (-)=(+)$
soft zealotBOT
Ab
final saddleBOT
@queen crescent Has your question been resolved?
split yacht
actually plotting it in desmos, if you must cross -4 on the y-axis, you will have a negative constant in front,
plotting it in desmos or any other graph calculator is a quick and dirty way to get your answer ^
potent cypress
final saddleBOT
little python
,rccw
soft zealotBOT
final saddleBOT
@potent cypress Has your question been resolved?
final saddleBOT
@potent cypress Has your question been resolved?
crisp gate
@potent cypress you wanna create an equation
Distance of the police man = Distance of the thief
Then you are going to solve the equation and surely find a result
drifting cradle
hey can someone help with this? im new to trig sub
final saddleBOT
hey can someone help with this? im new to trig sub
drifting cradle
i've tried secant
random forge
im pretty sure this is ugly trig sub, have you made any progress?
drifting cradle
kinda erased it since i use a small whiteboard
gleaming galleon
hey can someone help with this? im new to trig sub
use this formula
there's whole another long proof for it, you just gotta learn this for exams
drifting cradle
yeah no i just wanna learn trig sub
i'm also waaaay ahead of my class so
not worried for exams rn
random forge
didnt watch the whole video but they have a few tricks at the beginning that will work on yours too
tranquil pine
yo what happened here
final saddleBOT
yo what happened here
soft zealotBOT
random forge
$a^{\log_az} = z$ is a fundemental log property
soft zealotBOT
tired knot
Hia
tired knot
Need help
Im trying to simplify this
is this correct so far?
Forsome reason I think im wrong
even though no clue how
tyty frein
worldly vale
what you've done is fine so far
drifting cradle
r u tryna like
hidden birch
make x(x+h) ur denominator
drifting cradle
get the derivative of 1/x?
tired knot
I need to put it in the form of
drifting cradle
because that's the derivative definition
drifting cradle
alr, get the common denominator
drifting cradle
easy way is multiply each of them by each other's denominator
hidden birch
lim h->0 $\frac{-h}{hx(x+h)}$
soft zealotBOT
$Pure2$
hidden birch
lim h->0 $\frac{-1}{x^2}$
soft zealotBOT
$Pure2$
drifting cradle
but you need to keep the limit
that's still the end goal
also you kept the limit but got rid of the h
drifting cradle
look at the question
worldly vale
at no point are they being asked to evaluate the limit
hidden birch
oh, i missed that
drifting cradle
lol
hollow sun
yo guys
drifting cradle
it's okay i've only learned limits recently
hidden birch
mb
hollow sun
yo how do i get help with some maths
tired knot
Ok so
and then the only thing i can think of is
But i dont think that way i will get it
drifting cradle
how about you get the common denominator here first
between 1/x+h and -1/x
then multiply the resulting denominator by h
because that's the very bottom
drifting cradle
just multiply each one by the other's denominator
tired knot
oh
drifting cradle
note: x(x+h) = x²+xh
drifting cradle
ok now just combine the fractions because they have the same denominator
drifting cradle
hold on lemme try this myself brb
drifting cradle
btw all that is over h, and the - before the second fraction is spread
drifting cradle
welp, i like to say that basic algebra is a mathematicians greatest obstacle lmao
drifting cradle
nice
drifting cradle
and there you have it lol
tired knot
.close
noble steppe
Am I going in the direction for this integration?
final saddleBOT
Am I going in the direction for this integration?
vital crag
one of those sines should be a cosine
noble steppe
hmm
noble steppe
one of those sines should be a cosine
vital crag
you'll need to do integration by parts again
vital crag
on this integral
noble steppe
oh yeah ofc
i didnt actually do integration by parts using the previous values
i stopped there because my spider sense were telling me something si wrong
anyway cheers
.close
night dragon
why does -3 + (-4) = -7 not 7
final saddleBOT
why does -3 + (-4) = -7 not 7
night dragon
doesn't two negative become a positive
little python
they r being added not multiplied or divided
tranquil plume
why does -3 + (-4) = -7 not 7
because + gets multiplied with -
and becomes -
u get it?
night dragon
then -3+ is what makes it -7 then what about (-4) does that negative just disappear
not count
ripe prairie
-3 and -4 are numbers
They are themselves objects
The - in front of -4 is not a separate object because -4 as a whole is an object (a number)
So when you add two negative numbers together it's like adding two positive numbers together except you have a negative sign in front at the end
tranquil plume
then -3+ is what makes it -7 then what about (-4) does that negative just disapp...
dont see it as -3 +, see it as -3
-3 is a number, -3 + isn't
also, the bracket makes the - & + multiply
night dragon
i get it
ok
wow
i was thinking in the science way two negative = positive
then what about -7+4
if -4+7=3
tranquil plume
-3
tranquil plume
since 7 is greater, u take the - sign
whichever number is greater u take that sign
night dragon
Does that look right
final saddleBOT
Does that look right
hallow lantern
verbal pendant
i mean -3 + (-4) = -7 yeah
verbal pendant
bit confused what you’re asking but everything you did is correct
-4 = + (-4) yes
ripe sapphire
uh i'm not sure if this is the right channel but i'll just ask my question now so first i basically just want to know if this is correct
final saddleBOT
uh i'm not sure if this is the right channel but i'll just ask my question now s...
final tangle
<@&268886789983436800>
final saddleBOT
@ripe sapphire Has your question been resolved?
final saddleBOT
@ripe sapphire Has your question been resolved?
summer shadow
@ripe sapphire yes it's
for any value of y you plug in the given value of x , are you trying to plot a graph ?
ripe sapphire
for any value of y you plug in the given value of x , are you trying to plot a g...
i am
ripe sapphire
so it should be looking something like this right?
sharp kindle
How do i draw the diagram for Regular expression a*b*
final saddleBOT
How do i draw the diagram for Regular expression `a*b*`
hidden birch
oh like DFA
lol
wraith crater
i think it's smthin like that but honestly dont know much about this
can you confirm dr chris
hidden birch
i think it's smthin like that but honestly dont know much about this
can u get better?
