<@&286206848099549185>
#help-13
elder elm
cedar kilnBOT
@elder elm Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
regal pivot
Just to double check the answer for this is - scr3/4 correct?
regal pivot
And this work would be correct?
sour tiger
I’m trying to find what the length would be for this problem. I found what the width is, and input it into the equation where length is written in terms of w, but it equals zero
hollow trail
you solved w for the assumption a = 0
sour tiger
you solved w for the assumption a = 0
Ohhh, so what would I do instead?
hollow trail
well if you want to find the max of a function, you probably want to find its critical points
sour tiger
So would I take the derivative of the area function?
I feel like I need the derivative of something
hollow trail
the derivative of the area function with respect to width would give you the width for which the area has a maximum or minimum
cedar kilnBOT
cedar kilnBOT
Available help channel!
delicate patio
cedar kilnBOT
cedar cypress
Do you know Baye's theorem
delicate patio
P(Female | Successful Candidate) = P(Successful Candidate | Female) x P(Female)/P(Successful Candidate)
i am not able to find P(Successful Candidate | Female)
cedar cypress
P(Female | Successful Candidate) = P(Successful Candidate | Female) x P(Female)/...
yeah cool
delicate patio
P(Female) = 2/5
P(Successful Candidate) = 1/2
how can i find the last using the data given
i tried taking the total candidates as 120
got the final answer answer as 7/12
but i dont know how to find P(Successful Candidate | Female) directly
cedar cypress
you can set up an equation based on the given information,
let the total candidates be N
N/2 is the total number of successful candidates,
N/2 = .4N x female success probability + .6N x male success probability
.4N x female success probability = 1.4 x .6N x male sucess probability
this will give you your numerator in terms of the denominator and hence your answer
you can see that the 'N' has no practical use
delicate patio
you can set up an equation based on the given information,
let the total candida...
"let the total candidates be N
N/2 is the total number of successful candidates,
N/2 = .4N x female success probability + .6N x male success probability
.4N x female success probability = 1.4 x .6N x male sucess probability "
i understood everything till this part
i am a bit confused sorry
like what would the numerator be
cedar cypress
like what would the numerator be
its what you wrote earlier
delicate patio
what would the male sucess probability be
delicate patio
we dont need that if you look at the equations
i got female succesful probability as 35/48
i got this same value when i took N = 120
so yes it is independent of N
hmmmm
cedar cypress
P(Female | Successful Candidate) = P(Successful Candidate | Female) x P(Female)/...
here the ratio was essentially .4N x FSP / .5N
using the equatons we can directly get .4N x FSP /.5N
so there is no need to uniquely solve for FSP
cedar cypress
so yes it is independent of N
that we could have also seen in the equation as we can just divide both sides by N
and no change will happen
delicate patio
here the ratio was essentially .4N x FSP / .5N
using the equatons we can direct...
how can we directly get .4N x FSP /.5N this
can you elaborate please
delicate patio
that we could have also seen in the equation as we can just divide both sides by...
yes i totally get that. thank you for proving it in this way. made all this more clear in my head
cedar cypress
you can set up an equation based on the given information,
let the total candida...
here, from the second equation substitue the value of rhs in terms of lhs into the first eqn
delicate patio
here, from the second equation substitue the value of rhs in terms of lhs into t...
yea i solved for fsp that way only
cedar cypress
my point was we dont to solve for the 'exact value' as we just want the ratio
say i give you 2x+5=18, sure you can separately solve for x, but we dont need to if we want to evaluate an expression like (2x+5)/6, we can directly go 18/6
nevertheless you will arrive the answer both ways
im just recommending something to minimize calculation
delicate patio
my point was we dont to solve for the 'exact value' as we just want the ratio
yupp
thankyouu
just got bit confused by 'directly'
😅
thankyou
crimson sedge
Five times the sum of x and 5 is 8 less than twice x. Solve for x.
crimson sedge
!status
cedar kilnBOT
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
1
cedar cypress
write what theyve given you in a maths equation
translate english to math
five times (the sum of x and 5) is 8 less than (twice x)
earnest geyser
@crimson sedge
cedar kilnBOT
cedar kilnBOT
Available help channel!
frigid sinew
cedar kilnBOT
frigid sinew
for the series here, i wrote out the partial sum
but i cant find a pattern
is it a harmonic serie?
cerulean sail
Check the sequence first, I'd suggest 
(the sequence doesn't go to infinity, but if it did, it would also allow you to conclude something about the series!)
frigid sinew
(the sequence doesn't go to infinity, but if it did, it would also allow you to ...
ah i put that there just to see if it works
i think it goes to -4.5
cerulean sail
i think it goes to -4.5
It does, the sequence goes to -4.5, do you know what you can say about the series from that?
frigid sinew
It does, the *sequence* goes to -4.5, do you know what you can say about the ser...
that it would go to negative infinity?
ahhh
right right
btw the way i determine sequences is by putting n to 9999999 on my calculator uhm
idk if its the right way to
cerulean sail
Well, that can work at times, but sometimes can be misleading
frigid sinew
what could be another way
cerulean sail
One thing you [should] know is that if a series converges, the sequence it's made up of must converge to zero, so if you have the sequence not converging to zero, the series must diverge somehow
cerulean sail
what could be another way
And "all the series tests they give you" 
frigid sinew
One thing you [should] know is that *if* a series converges, the *sequence* it's...
ah so if series is convergent
then lima_n = 0?
ah okay yeahh im struggling with notations sometimes
tysm!
again
.close
cedar kilnBOT
cedar kilnBOT
Available help channel!
vapid grotto
Would I find the hypotnus using a^2+b^2=c^
cedar kilnBOT
Would I find the hypotnus using a^2+b^2=c^
spiral hull
Yes
cosmic narwhal
Would I find the hypotnus using a^2+b^2=c^
50^2 + 120^2 = c^2
cedar kilnBOT
@vapid grotto Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
worldly walrus
How do I calculate sin(2theta)
cedar kilnBOT
How do I calculate sin(2theta)
worldly walrus
I don’t know what double angle formula is
hollow trail
the double angle formula is $\sin(2\theta) = 2\sin(\theta)\cos(\theta)$
wraith daggerBOT
cloud
polar linden
how do i solve this?
polar linden
no
polar linden
hello
tawny grove
!status
cedar kilnBOT
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
1
polar linden
soo pi^2h
tawny grove
Vbox = (π)(R^2)(H) = 25π
polar linden
oops yeah
tawny grove
And write volume of box
V = (L)(W)(H)
and we don't know any of these quantities, L, W, and H but we can substitute with variables we defined up there
V = (2R)(2R)(H)
simplify the expression
V = 4(R^2)(H)
polar linden
V = (2R)(2R)(H)
here
tawny grove
One radius is half the width of the box
So 2R is the width of the box
we can infer based on "fits perfectly inside the box"
tawny grove
Okay so now we have two equations:
Vcylinder = (π)(R^2)(H) = 25π
Vbox = 4(R^2)(H)
Now you have these two equations, can you solve?
Vbox = 4(R^2)(H)
(π)(R^2)(H) = 25π
polar linden
im not sure how to
tawny grove
No problem
- Vbox = 4(R^2)(H)
- (π)(R^2)(H) = 25π
Using equation 2), we can solve for (R^2)(H)
(R^2)(H) = (25π)/(π) = 25
Subbing back in equation 1), we can find Vbox
4(R^2)(H) = 4(25) = 100 cm^3
polar linden
ah
untold plover
i think you're making him lost.
polar linden
no i understand
polar linden
okay thank you : )
cedar kilnBOT
@polar linden Has your question been resolved?
cobalt grotto
stupid question but like how are we using ft^3 in a 2D problem
cobalt grotto
Are we just assuming the tank is 10x10x10?
fast lotus
stupid question but like how are we using ft^3 in a 2D problem
he gave density of water
fast lotus
Are we just assuming the tank is 10x10x10?
prolly
cobalt grotto
prolly
ok, so how do I actually do this
I have done it before with a semicircle
But this is more complex
fast lotus
i got no idea sryy
cedar kilnBOT
@cobalt grotto Has your question been resolved?
cedar kilnBOT
@cobalt grotto Has your question been resolved?
turbid harbor
Can anyone help me check whether my logical equivalence is correct?
cedar kilnBOT
Can anyone help me check whether my logical equivalence is correct?
@turbid harbor Has your question been resolved?
upper abyss
What's in that picture is all true
turbid harbor
is it?
My truth table says otherwise
oh freak
I put negation q
not p
mb
my truth table is not equal
So I guess it is not logical equivalence unless my eye deceive me
cedar kilnBOT
cedar kilnBOT
Available help channel!
swift saffron
$7^{8^{9}}$ mod 1000
cedar kilnBOT
$7^{8^{9}}$ mod 1000
wraith daggerBOT
matchafrappucino
cedar kilnBOT
@swift saffron Has your question been resolved?
crimson sedge
Hello
quaint epoch
the formula for circumference of a circle is 2πr
crimson sedge
Yeah
quaint epoch
r = 23 m as given in the question
crimson sedge
That’s 144.4
Not an answer here
138.2
Oh I’m looking at the wrong question lmao
quaint epoch
lol
crimson sedge
I have another one
wraith daggerBOT
faiyrose
crimson sedge
I do this on a calculator?
Can you explain more ?
I would assume so
Yes
270
Not a selectable answer ?
Oh
What
wraith daggerBOT
faiyrose
crimson sedge
How do I read this
Wait I’m an idiot it literally tells me
Haha 😂
How do I do a pie sign on laptop
wraith daggerBOT
faiyrose
crimson sedge
The final answer I got was 18.8
But it didn’t come up
As an answer
I did this
270/360 x 2pi x 4
How do I convert 18.8 to terms of pi
Ohhh
6 pi
Alright one more
@orchid field 35
What
I don’t understand sorry
Kk
It’s 85 angle?
So
Same equation as before but 275/360?
Or wait that’s not even what it’s asking
The answer is 85 eight?
Right*
Okay last one lol
crimson sedge
Okay last one lol
Unless of course you want to help me with a few other problems lol
I’ll show you after we solve this one
One of the other ones is
Trigonometry
Kk
What about this one
lol what’s the answer
Or explain what a minor arc is
An arc whose measure is less than 180 degrees google says
So MN and LP?
PL*
And
LM NP?
How would LM be more than 180 degrees?
Ok
@orchid field are you ready for trig?
Do you now someone that can
@orchid field
mighty shuttle
is this a test?
mighty shuttle
ok
crimson sedge
Can you help me?
mighty shuttle
I'm trying to solve a problem of my own rn, sorry
crimson sedge
I'm trying to solve a problem of my own rn, sorry
No worries
<@&286206848099549185>
cedar kilnBOT
@crimson sedge Has your question been resolved?
crimson sedge
Hello?
radiant scaffold
Yo if you could show a clear photo of the whole question thatd be great
cedar kilnBOT
@crimson sedge Has your question been resolved?
crimson sedge
Yo if you could show a clear photo of the whole question thatd be great
I gotchu, give me 10 minutes
@radiant scaffold
radiant scaffold
Ok
So we have an angle and a value
So what can we use with those two to find another side
radiant scaffold
Ok
Theres an abbreviation thats fairly liked
Its SOH CAH TOA
Sin = opposite/hypotenuse
crimson sedge
Ok
radiant scaffold
Cos=adjacent/hypotenuse
Tan= opposite/hypotenuse
Which of these three would be useful to find AB
crimson sedge
Cos
radiant scaffold
The other angle
crimson sedge
45
crimson sedge
40 lol
radiant scaffold
Ok
crimson sedge
So that’s one number now what
radiant scaffold
So cos40= AB/BC Right?
crimson sedge
What’s the equation
radiant scaffold
So cos40= AB/BC Right?
This, but they give you the value of BC, What is it
crimson sedge
60 ft
radiant scaffold
Yep
So now we only have 1 unknown value
Can you rearrange the equation cos40 = 60/AB to solve for
crimson sedge
How ?
radiant scaffold
:||
crimson sedge
lol
radiant scaffold
How good are you at algebra
crimson sedge
Not good
crimson sedge
That’s what online math does to you :/
radiant scaffold
If you have this, you normally want to cancel out anything that's happening to the unknown value
So in this one, AB Is being divided by 60
In order to make it just AB, what do you think we should do
Fuck
Wait
Sorry
radiant scaffold
Wrong way around
Damn im being stupid today
Anyway the thing you normaly do with these is make AB not a denominator
This means multiplying both sides by AB
Can you write the equation for that
radiant scaffold
Ok
Lets start off with a small algebra question instead
Cause algebra is the foundation, its best to get better at it now then later
radiant scaffold
Damn ok
If you have x+2=3, what does x equal
Quick fire just tell me if you dont know
crimson sedge
1
crimson sedge
-2
crimson sedge
dk
crimson sedge
-4
crimson sedge
Yeah
radiant scaffold
So then whats the opposite of multiplying by 2
crimson sedge
2
cedar kilnBOT
crimson sedge
Divide by 2
crimson sedge
.reopen
cedar kilnBOT
✅
radiant scaffold
So if you have AB as a denominator, you want to get rid of the fraction right?
crimson sedge
Yes
radiant scaffold
If the thing on the right divides it by AB, what do you think you should do
crimson sedge
AB are letters though how do we divide by letters?
radiant scaffold
AB are letters though how do we divide by letters?
Its just a stand in for numbers
Its like x
crimson sedge
:/
radiant scaffold
Youll timex both sides by AB(or call it x idk)
crimson sedge
Ok
radiant scaffold
Then you get a beautiful equation of ABcos40=60
crimson sedge
Yeah ok
radiant scaffold
So then whats the next step
crimson sedge
I’ve never done a trigonometry problem before
radiant scaffold
radiant scaffold
I’ve never done a trigonometry problem before
Its alright, we all learn
radiant scaffold
Then if you have 2x=4
Remember what we did here
Same concept
:||
Ok
We divide both sides by cos40
That makes AB alone right?
crimson sedge
I got 2 minutes to do all three questions :/
crimson sedge
That makes AB alone right?
Yeah
radiant scaffold
I got 2 minutes to do all three questions :/
Yea this is basically just you need practice on these questions
crimson sedge
60/cos40 ?
crimson sedge
60 / cos(40 radians)
radiant scaffold
Not radians, this is degrees
crimson sedge
Still -89
radiant scaffold
Did you change the calculator mode
radiant scaffold
Ah
How did google stuff up that bad
Uhh type 60/cos(40 degrees)
Lets see what happens
radiant scaffold
Brother go off to history, if you need help after on these just dm me if the help closes
crimson sedge
78
crimson sedge
78
crimson sedge
Wait but how do I show work
radiant scaffold
^reminder of questions (if someone needs to go to this)
cedar kilnBOT
@crimson sedge Has your question been resolved?
wild geode
So, basically, for question 2, you'll be doing the same thing using the tangent function. So, the equation would be
Because
SOH**|CAH|**TOA
Tangent function is t=opposite/adjacent
Just like the sine function is
s=opposite/hypotenuse
The equation for Tangent is
tan(40°)= AC/BC
Because you need to find AC.
solve for AC by multiplying BC to both sides leaving you with
BC(tan(40))=AC
Question 3
I'd just think about it visually.
If you travel 5ft per second
Then use your path (AB)
Divide (AB) by 5 and you'll find seconds
If bro travels 3ft per second
Use bro's (BC)
Divide BC by 3 and you'll find seconds
fossil pewter
Why is the partial derrivative in regards to z this diagonal matrix?
fossil pewter
When I did this I just said derrivative of sin(z) = cos (z)
crimson sedge
^reminder of questions (if someone needs to go to this)
I can’t dm you
cedar kilnBOT
@fossil pewter Has your question been resolved?
cedar kilnBOT
@fossil pewter Has your question been resolved?
next palm
Why is the partial derrivative in regards to z this diagonal matrix?
I'm guessing how the function is meant is that f(z) = (sin(z1), ... , sin(z_E))
Because z, by its definition is an E-dimensional vector
dark orbit
Lets say that from pipe water is poured out to cube of side A , ideal situation such that water is equally distributed and no water flows out, what should be the flow of water such that the height of the water level is increasing with rate x? (Variable form)
now, dV/dt = 3A²x im getting by differentiating function of volume
But, i tried in a different method
take a thin slice of cube, which will be a cuboid of height dA and A² as its surface (top view square A^2 shud be its area)
then volume is A^2 dA
of that cuboid, and that is also the volume that will be filled with x rate,
with this im getting A^2 x, what did i do wrong?
drifting matrix
Lets say that from pipe water is poured out to cube of side A , ideal situation ...
A²x is correct, not 3A²x
dark orbit
A²x is correct, not 3A²x
what?
drifting matrix
(typo)
dark orbit
hmm
so whats wrong in 3A^2 x method
OHH
volume of filled water is not A^3
gotcha
.close
cedar kilnBOT
cedar kilnBOT
Available help channel!
crimson sedge
The figure shows parallel lines AB and DE, ∠BAC = 30°, ∠CDE = 50°. Calculate the size of the angle ACD.
crimson sedge
I got 80 is it correct?
dark orbit
yes
crimson sedge
.close
cedar kilnBOT
cedar kilnBOT
Available help channel!
minor seal
Hey
raven shard
u have to combine a cosx + b sinx into a single sinusoid
minor seal
By factoring by $\sqrt{a^2+b^2}$ I get cos(x-\theta)$ with $\theta$ a reel such as
wraith daggerBOT
Akti
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
minor seal
I'm stuck here, there is something to do with arctan but I'm kinda lost about it, never dealt much with those before
Depending on a,b signs
I tested and should get those results, but idk how to prove it
cedar kilnBOT
@minor seal Has your question been resolved?
cedar kilnBOT
@minor seal Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
rancid cipher
im checking my work with Symbolab and my final answer doesn't match and it's not equal to theirs. I've checked my work it looks fine to me but I could very much be overlooking it. Can someone please review it
cedar kilnBOT
im checking my work with Symbolab and my final answer doesn't match and it's not...
@rancid cipher Has your question been resolved?
modern compass
im checking my work with Symbolab and my final answer doesn't match and it's not...
you somehow vanished your 5/2 and 3/2 denominators
modern compass
you can rewrite and factor out a 2 to get rid of the 1/2 in front, but those should still be divided by 5 and 3
rancid cipher
yes i c, i think imma sperate them so i can solve... i need to slow down lmao thank you
.close
cedar kilnBOT
cedar kilnBOT
Available help channel!
delicate patio
cedar kilnBOT
rough terrace
(1,-1)?
cedar kilnBOT
@delicate patio Has your question been resolved?
cedar kilnBOT
@delicate patio Has your question been resolved?
sharp pike
This isn't the standard form of an ellipse
delicate patio
This isn't the standard form of an ellipse
how can I get the centre then
sharp pike
Search up the ellipse equation form
You want it like that
Or wait
Nevermind that won't work
delicate patio
Nevermind that won't work
what should i do then
delicate patio
<@&286206848099549185>
delicate patio
<@&286206848099549185>
timber zinc
(1,-1)?
radiant scaffold
what should i do then
have you searched up the ellipse equation form?
do you know it?
timber zinc
first you have y+1=0 so you find out that y=-1 and x+y=0 you gonna have x=1
queen loom
delicate patio
first you have y+1=0 so you find out that y=-1 and x+y=0 you gonna have x=1
okay thank youu
.close
cedar kilnBOT
cedar kilnBOT
Available help channel!
steep charm
How do i read this in my head? As far i can tell the fancy g is just a G and not a greek letter or anything, and the circle with a cross is just called a "CIRCLED TIMES"
steep charm
Also a little econfused by that sentence, is ⊗ just the same as × (which is just multiply right?)
cedar kilnBOT
@steep charm Has your question been resolved?
void wasp
This G is a set. It could also be any letter you want. To differentiate it a little bit from normal letters used for Area, volume and so on, they write it a little fancy sometimes
steep charm
So in your head how would you read G := (G, ⊗)
void wasp
The other symbol stands for an operation. It doesn't have to be multiplication. It could also be addition, subtraction, Division, Modulo. Like basically anything you want
gusty forum
⊗ is not the same as × in this scenario, × is also not multiplication but instead the cartesian product
{fancy G} × {fancy G} represents the cartesian product between fancy G and fancy G
steep charm
The other symbol stands for an operation. It doesn't have to be multiplication. ...
ah okay
is : like "where"?
"Consider a set g and an operation ⊗ where for all combinations of two sets G, G, the result is a set G"?
void wasp
⊗ is not the same as × in this scenario, × is also not multiplication but instea...
I'm not sure if this is correct here. This seems to be the definition for a "group". Which leaves the operation open as long as certain requirements are met. But I might be wrong
void wasp
is : like "where"?
"Consider a set g and an operation ⊗ where for all combinatio...
Yeah I think you could say it that way
gusty forum
I'm not sure if this is correct here. This seems to be the definition for a "gro...
by definition ⊗ cannot be the cartesian product because you immediately lose closure
also you're not mapping to the same set, but anyways
void wasp
How do i read this in my head? As far i can tell the fancy g is just a G and not...
An example for a group would be the set of whole numbers $\mathbb{Z}$
wraith daggerBOT
Zue
void wasp
And the operation: +
steep charm
I see
i think i get it
G := (G, ⊗)
What does this notation mean exactly?
The group on the set G and operation (cricle cross)?
void wasp
by definition ⊗ cannot be the cartesian product because you immediately lose clo...
Oh I am so sorry. I completely missed your point.. you're totally right!
void wasp
The group on the set G and operation (cricle cross)?
I'm not sure how you say that in English but something along those lines must be correct
So if you consider my example with the whole numbers:
$\mathbb{Z} \times \mathbb{Z} \to \mathbb{Z}$
With the Operation +
wraith daggerBOT
Zue
void wasp
Then we could pick a number for the first set (3) and the second set (-2). And we get the Cartesian product for.example (3,-2)
Which we then use our operation on (+) which gives us (1) which is in Z.
cedar kilnBOT
Available help channel!
abstract pagoda
HELP
abstract pagoda
how do you get Yk
the solutions give y(0) = 0.5, y(1) = 1 and y(2) = 0.5
but how
hidden mural
whats y
abstract pagoda
hidden mural
theres no f
abstract pagoda
?
hidden mural
alright
abstract pagoda
i get it all appart from the substitution at the end
hidden mural
the solutions give y(0) = 0.5, y(1) = 1 and y(2) = 0.5
f(0) = 1
hidden mural
not 0.5
hidden mural
y(0) = f(0) = 1
hidden mural
ok it's y_k
hidden mural
well y_k = f(x_k)
hidden mural
f(x0) = sqrt( 1 - 3/4)
abstract pagoda
its squared?
hidden mural
= sqrt( 1/4 )
abstract pagoda
hidden mural
yes
hidden mural
fr
hidden mural
jk
hidden mural
welcome
cedar kilnBOT
cedar kilnBOT
Available help channel!
cedar kilnBOT
Please help
sturdy ferry
cedar kilnBOT
@sturdy ferry Has your question been resolved?
torpid cipher
what do you need help with
sturdy ferry
what do you need help with
Like the the entire second page
scenic nest
I need guidance on how to study my intro to discrete math material for my uni exam
scenic nest
Here are the topics I need to cover
Combinatorics
Multiplication principle
Addition principle
Pigeonhole principle
Permutations and combinations (with and without repetition)
Solving problems involving combinatorial principles
Discrete Probability
Experiment, sample space, and events
Finite probability space
Equi-probable spaces
Conditional probability
Mutually exclusive and independent events
Applying probability concepts to solve problems
Graph Theory
Graph models
Graph isomorphism
Degrees of vertices
Paths and cycles in graphs
Euler's theorem and its applications
Bipartite graphs and their properties
I have tried using my textbook, online resources, etc but I keep getting myself confused and frustrated
candid mason
So the first thing to figure out what it is you are getting confused about
torpid cipher
I have tried using my textbook, online resources, etc but I keep getting myself ...
richard johnsonbaugh discrete mathematics is the one i studied with
scenic nest
So the first thing to figure out what it is you are getting confused about
In combinatorics, the questions seem to be more like riddles and I can't decipher whether I should use permutation, combination, multiplication rule etc.
scenic nest
richard johnsonbaugh discrete mathematics is the one i studied with
Thanks I'll check it out
scenic nest
richard johnsonbaugh discrete mathematics is the one i studied with
Do I need to start from chapter 1 sets and logic, or can I just study the topics I sent above directly?
I overthink a lot, and it hasn't helped me in this module especially
candid mason
Do I need to start from chapter 1 sets and logic, or can I just study the topics...
Ideally you would start from logic, sets if you haven't studied it
scenic nest
How should I take notes, or do I just read and solve questions? i have a habit of taking notes but it doesnt help during solving questions
candid mason
Try down key definitions and theorem. Number each page and store them in a folder for future reference
In addition you should do exercises
scenic nest
thank you
scenic nest
Ideally you would start from logic, sets if you haven't studied it
What topics should I make sure to cover before I tackle the topics above?
crystal raptor
If you have past exam papers it's worth going through them and figuring out what it is you don't know
candid mason
logic, set theory, proofs at the bare minimum
scenic nest
If you have past exam papers it's worth going through them and figuring out what...
I'll make sure I do that
scenic nest
logic, set theory, proofs at the bare minimum
Okay noted
scenic nest
In combinatorics, the questions seem to be more like riddles and I can't deciphe...
any tips on this?
cedar kilnBOT
@scenic nest Has your question been resolved?
tender sundial
I am supposed to show that |det(M)|^2 <= product of (the sums of (each row of M elementwise squared)). I'm fairly certain the path forward is that the determinant of the LU of M is the product of the diagonals of L and U (one of which is all 1s). Which means that the left hand side is just the square of the product of the diagonal of U. Intuitively because of the absolute value we know each element on the right hand side is positive, so I think we know that the RHS is >= the product of the diagonal elements of U. Does that sound right?
tender sundial
The problem of course I can't quite figure out is that I'm not sure how to deal with the squaring of each element on the right hand side.
cedar kilnBOT
@tender sundial Has your question been resolved?
cedar kilnBOT
@tender sundial Has your question been resolved?
crimson sedge
i am not familiar with this type. can anyone help? (*e^1/s)
cedar kilnBOT
i am not familiar with this type. can anyone help? (*e^1/s)
@crimson sedge Has your question been resolved?
pure quartz
Hello
fast lotus
P(A/B) also P of A given B is defined as P(AintersectionB)/P(B)
pure quartz
Yes i tried that however my results was the ff:
P [ (Y = 3) intersection (Y>=2) ] / P [ ( Y>=2 ) ]
which just results to the same numerator and denominator
pure quartz
oh wait i saw where i went wrong
fast lotus
Oh
pure quartz
lemme retry again and see if i got it
fast lotus
lemme retry again and see if i got it
Okay
pure quartz
my answer is not in the choices
i tried to solve the conditional problem by
P [ Y = 3 ] / ( P [ Y = 3 ] + P [ Y = 2 ]
then i solved for P [Y=3] and P[Y=2]
P [ Y=3 ] = f (1,3) + f (2,3) + f (3,3) = 41/56
P [ Y=2 ] = f (1,2) + f (2,2) = 13/56
then my answer was 41/54
which was not in the choices
can someone help me where i went wrong?
granite knoll
why are you calculating the probability that Y equals 2?
the condition is Y is at least 2
pure quartz
awwww i see
oh wait im confused
did i not incorporate it in the equations correctly?
granite knoll
not sure. try asking in #probability-statistics
cedar kilnBOT
cedar kilnBOT
Available help channel!
night karma
Are these (red marked) elements of O(n)?
cedar kilnBOT
Are these (red marked) elements of O(n)?
kindred venture
doesn't that depend on what n is tending towards?
night karma
Hm we have no n given
drifting matrix
it is
night karma
Ok my thought was everything that is "below" O(n) is in O(n)
but then I was wrong I guess
fair geyser
oh duh
night karma
maybe because O(log n) has values that O(n) doesn't have
drifting matrix
uhhh
fair geyser
so the middle left is O(n)
fair geyser
Ok my thought was everything that is "below" O(n) is in O(n)
that's totally right
drifting matrix
Are these (red marked) elements of O(n)?
however, the bottom left sum isn't
neither is the top right sum
fair geyser
but it could be the wrong answer if you have a better option
night karma
okay can you explain why, I didn't understood it:/
drifting matrix
okay can you explain why, I didn't understood it:/
Are you not given any proper definitions of O(n) in class?
night karma
It's said that f(n) <= c * g(n)
fair geyser
probably plus, it doens;t matter
it just says something that's obviously not O(n), but infdirectly
drifting matrix
It's said that f(n) <= c * g(n)
aha so then you can go off that.
night karma
but I don't know how I can find out the n0 and c
drifting matrix
Are these (red marked) elements of O(n)?
also the middle left is wrong
I really think you need to work with the definition or otherwise this is just guesswork for you
drifting matrix
but I don't know how I can find out the n0 and c
that's the skill
night karma
rip
drifting matrix
If you work through examples you can aquire the skill.
night karma
yea maybe I can find more examples
drifting matrix
For example 13n + 15/n + 17/n² <= 13n + 15 + 17 = 13n + 32
you estimate first using constant terms
drifting matrix
It's said that f(n) <= c * g(n)
then here you pick c = 13+32
then your thing <= 13n + 32 <= (13+32)n (g(n) is just n)
night karma
hmm okay what I understand so far is:
13n + 15/n + 17/n² <= c * n
and then I need a n0 for that the c * n is equal
let's say n0 = 1
13/1 + 15/1 + 17/1² = 13+15+17 = 45
now I insert n0 in the other equation with a c, for example c = 45
so I have 45 * 1
then we found out it's O(n)
okay I think it's basically the same as you wrote but in another format
night karma
but then I'm also only guessing a n and c ( with my approach)
drifting matrix
hmm okay what I understand so far is:
13n + 15/n + 17/n² <= c * n
and then I ne...
i.e. 13n + 15/n + 17/n² <= 45*n
it's true but I am not sure if you actually realize this
night karma
so 45 <= 47?
drifting matrix
em stick with 45, although it doesn't matter
if you find any number, every bigger number will work too
night karma
okay but usually I search for the smallest n0 possible I think
so let's say 42✓n + 0.1n <= c * n
now I have the problem of finding the c and n... I can try to put in something that is possible to solve
42 ✓4 + 0.1* 4 <= c* 4
84.4 <= c* 4
Now I need a c for that it's 84.4
84.4 <= 21.4 * 4
so this one is also O(n)
now I can try another one
the sum in the left bottom corner
it's n * ✓n <= c * n maybe
n0 = 4
4 * 2 <= 2 * 4
Also O(n) lol
drifting matrix
now I can try another one
the sum in the left bottom corner
it's n * ✓n <= c *...
that is how I can tell that you are doing it wrong
drifting matrix
you need to make sure that
^
night karma
n needs to be > n0?
I will watch some videos now about it, I'll come back later
.close
cedar kilnBOT
cedar kilnBOT
Available help channel!
shrewd panther
I've been stuck on this for awhile now, my brain isn't braining today and i've gotten so many wrong answers </3
My math teacher doesn't explain as well but i still try </33
cedar cypress
what have you tried
cedar cypress
wdym by tried slope
shrewd panther
My math teacher has only been teaching slopem he always goes back to it everytime we finish a new math unit
cedar cypress
you wish to use the pythagorean theorem here
shrewd panther
sure
cedar cypress
do you know what it states
cedar cypress
i meant to ask do you know the pythagorean
shrewd panther
i kind of do but i kinda don't at the same time
shrewd panther
yea i know it
cedar cypress
can you try to use it here?
shrewd panther
the O doesn't seem to mean anything i think thats why i feel confused
cedar cypress
the O is the origin, it seems like you're having trouble with the coordinate system
and not the geometry
but regardless just use what they gave you
shrewd panther
Alr
shrewd panther
Would B be a half because of how it is or would it still count as 1
cedar cypress
point B is at the end of the unit line there
so we will count that as a full unit
we only worry about the horizontal distance
and then the vertical
neon grotto
Would B be a half because of how it is or would it still count as 1
you don't need to see the area of it but the distance/units on the x axis
neon grotto
13
cedar cypress
CB you should call it
because B is just a point
shrewd panther
ohh alr
cedar cypress
unless you meant the small letter 'b'
referring to my diagram
of the right angled triangle
shrewd panther
theres a right angle at the A and C
cedar cypress
angle(ACB) is a right angle yes
shrewd panther
i see 3
cedar cypress
.
refer this
just compare
and use small letters for sides please since weve already assigned the capital ones to points
shrewd panther
alr
12 to the power of 2, we jut do 12x12 to get us 144
oh ait
its 13
C = 196 + 9?
neon grotto
C = 196 + 9?
c square is 196+9
neon grotto
check this again
cedar kilnBOT
cedar kilnBOT
Available help channel!
tropic kestrel
I am doing this and I don’t understand stand it (I am in 8th)
neon void
cedar kilnBOT
cedar kilnBOT
Available help channel!
nova snow
cedar kilnBOT
nova snow
Hi so the formula that I've used is (n!/n^n)x^n
And I've still gotten it wrong
Can someone please help
elfin hemlock
Hi so the formula that I've used is (n!/n^n)x^n
For example for n=1 what you wrote is that the numerator is 1, but
(2 * 1)!-(2 * 1+1)!=2!-3!=2-6=-4
cedar kilnBOT
@nova snow Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
runic garden
Hello could someone help me with this question please? Determine the values of θ if 0 ≤ θ ≤ 2pi given that cosθ = −0.3178
runic garden
I am just confused on how I should start this question
runic garden
2 and 3
royal loom
Okay
The inverse cosine function has a limited domain
Do you know where it’s limited to?
runic garden
No
royal loom
Say that you wanted to know the cosine inverse of 0
How would you know if it should be pi/2, or 3pi/2, or 5pi/2, etc…
Well the first thing you can do is restrict to values in between 0 and 2pi
But then the issue is that
cos(pi/2) = 0
And
cos(3pi/2)=0
Right?
😓 so what should the inverse be
runic garden
no clue 😦
royal loom
The solution is to restrict to values between 0 and pi
Then the only option is that cos^(-1)(0)=pi/2
But if you wanted to recover information from the other quadrants
Like say you knew you were in quadrant 3
And you did cosine inverse
You know that it only thinks that you’re in quadrant 1 or 2
So whatever output value it gives you, just add the appropriate angle to rotate it to quadrant 3
runic garden
still no clue sorry
im doing an online class and im looking thru the content right now
I think its missing some of the stuff you're talking about
so I will reteach myself the content with youtube
sorry about that
royal loom
Well when you look at cos(theta)=-.3178
Taking the cosine inverse of both sides
theta = cos^(-1)(-.3178)
But you have to be careful because, cosine inverse has a restriction, and you might have to adjust the result
That was my point
runic garden
thank you
royal loom
If it’s a value on the unit circle
But it doesn’t look like something I’m familiar with atleast
toxic totem
well too bad
oblique prawn
cedar kilnBOT
toxic totem
why would it be
oblique prawn
why would it be
1/(0-1)-1/(2-1)=-2
the integral = -1/(x-1)
when u evaluate from 0 to 2 u get -2
violet flume
,w Integrate[ 1 / (x^2 - 2*x + k ), {x,0,2} ]
oblique prawn
,w Integrate[ 1 / (x^2 - 2*x + k ), {x,0,2} ]
at k=1
oblique prawn
,w Integrate[ 1 / (x^2 - 2*x + k ), {x,0,2} ]
it doesn’t understand k
violet flume
yes it does
oblique prawn
oh idk then
wraith daggerBOT
Requested by janniku
violet flume
wolfram gimme a fuckin break come on
oblique prawn
,w integrate 1/(x²-2x+k)
wraith daggerBOT
oblique prawn
wolfram gimme a fuckin break come on
i think it’s not able to find a function in terms of k itself
violet flume
man my fucking internet im going to lose my mind
violet flume
bruh when k=1 this is undefined
i could be wrong but i think since k is not the variable of integration you can plug in the value prior to integrating
,w complete the square x^2-2x+k
wraith daggerBOT
wraith daggerBOT
wraith daggerBOT
violet flume
this is the problem
oblique prawn
ye
violet flume
so just use this
wraith daggerBOT
violet flume
1s
woah 
i got an all-letter share link
stachcmmip
,w integrate (x-2x-1/2)^(-1)
wraith daggerBOT
violet flume
hmm looks like its non-convergent from at least k=1 to k=0
cedar kilnBOT
cedar kilnBOT
Available help channel!
marble ermine
Hello, if A is a commutative ring and rad(A) is the set of niplotent elements of A, how can I discribe the nilpotent elements of A/rad(A)?
mental trail
if a is a nilpotent element of A/rad(A), that means that there exists some x in A, cl(x) = a, and x^m is in rad(A) for some m...
marble ermine
yes