#help-13
1 messages · Page 14 of 1
it's nice because we already have s and ~r
in fact, it might even give you a better hint for why this argument is invalid
| r | s | ~r | ~(~r) | ~r ^ s | ~(~r ^ s) | ~s | ~s v r | ~(~s v r) | s ^ ~r |
|---+---+----+-------+--------+-----------+----+--------+-----------+--------|
| T | T | F | T | F | T | | | | F |
| T | F | F | T | F | T | | | | F |
| F | T | T | F | T | F | | | | T |
| F | F | T | F | F | T | | | | F |
i'm gonna get rid of the middle ones so this doesn't get too wide
okaqy
| r | s | ~r | ~(~r) | ~r ^ s | ~(~r ^ s) | s ^ ~r |
|---+---+----+-------+--------+-----------+--------|
| T | T | F | T | F | T | F |
| T | F | F | T | F | T | F |
| F | T | T | F | T | F | T |
| F | F | T | F | F | T | F |
ok so that last column is the simplified conclusion
and columns four and six are our premises
well now we can tell if this is valid/invalid
if the conclusion has any false values it's invalid?
only for the rows with all true premises
so for which rows do we have all true premises?
T for the premises in columns 4 and 6 right?
yes
so you only need one, but yes it fails for both here
gotcha
so again, in this its asking for what makes it invalid
id put row 2 for the first one and row's 1 and 2 for second?
again, this is basically taking into account all possible states of the variables and saying even though everything we started with was true, the argument has failed here
yep! those are the rows that show the argument is invalid
gotcha
tysm, and sorry for pinging moderators i've been at this for like 2 hours and was super frustrated bc it an online only class
hopefully i didn't flip a bit by accident!! i know you were with me the whole time but for these it might be worth checking once more just in case haha. it can be really discouraging for this kinda computation (literally why we have computers for this)
the method is the same though and it gets better with practice!
and ofc glad to help!
alright i have to do a few examples like this so ill go back and double check, thanks again!
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Zeros of the function
can someone teach me how i can list these down using synthetic polynomial division
ping me when you help me answer
the question only asks for all possible rational roots, which can be found here
https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_(Tradler_and_Carley)/10%3A_Roots_of_Polynomials/10.01%3A_Optional_section-_The_rational_root_theorem
do you also need help with synthetic division?
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is this correct
oh sorry, the circle is at (4, -2)
then it's probably fine
if you cannot type the set membership symbol you should replace it with "in" and not e
{x | x in R, x > 4}
ohh ok thx!
thx
oh yea good idea
also probably would prefer interval notation for this anyway lol
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question 10 of a SAT test
so basically Idk why but everytime i try an answer it still fits as y-value of y-intercept as constant
A b C or d
Im asking!!
that's why Im here!
<@&286206848099549185>
I still need help here...
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Need some help with the problem. B={(t^2+t+1),(t^2+3t+2),(t^2+2t+1)}
I've plugged in b1,b2,b3 in L(P) to get L_B
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If one of the vertices of the hyperbola is the origin while one of the endpoints of the conjugate axis is at (3,-9), how far is the focus from the center
Help
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OHNO WAIT
in terms of just equation
PER SE y^2 = 5x^4 – 3x^2 + 71
is this a function or not a fucntion?
It's an equation
Until you want to plot it into graph
Then it's a function
but u know when u do evtical line testing in a graph it may suggest that it is not a function sometimes but in this case i dotn know what to say
,w Plot y^2 = 5x^4 – 3x^2 + 71
f(x) = 5^4-3x^2+71
y^2=f(x)
In terms of equation it's not an function
But if you are talking about graph it has its own consequences
ohh
Yeah
,w plot x^2 + {y -3/4(x^2)^(1/3)}^2 = 1
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What is 2+2
,calc 2+2
Result:
4
not sure, 5?
Use the Peano axioms
This doesn't have any real-world applications, surely; stop the tomfoolery!
reminds me of the people who would think this is correct
My axioms says 0/0 = 1. Deal with it.

whaaa
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How do I calculate the percent difference between the two
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<@&286206848099549185>
<@&286206848099549185>
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how can i determine how many lattice points are contained in a bounded region?
@deep nest Has your question been resolved?
try drawing it
you multiply two numbers
difference + 1
possibly difference − 1 if the lines don't have points
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i got the problem right but i dont know how the computer did this calculation
@cobalt merlin Has your question been resolved?
why do you need to know
if you got it right, you should just do it your way
because i might have it on test and i have to figure it out without mathematica
you didn't do it without computer help?
try using that
ok thanks
is there a way to do it with like
x^2 <-- inside goes sin(x) <-- inside goes sin^-1(...)
no
rip
In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more angles. They are distinct from triangle identities, which are identi...
if you want to look for other identities. the one i screenshot'd is just the simplest i know of
ye ye we covered that
supposed to have been pre-requisite knowledge for calc 2 lol
but i saw computer gave ez answer im like how it got that
didn't realize this was a calc problem. looks like a trig problem
well its part of a larger problem lol
i was given x = 8sin(8theta) y= 8cos(8theta) 0<= theta <= pi/4
i was like lets find theta for both
plug into identity sin^2theta + cos^2theta = 1
and then i was like how i simplify that s lol
it's just a circle
its parametric functions or something
or semicircle
ye but they ask exact equation
you can also arrive at sin(x) / 64 since you have a circle of radius 8
well i dont have that solid of a grasp of this rn
im just solving things mathematically lol
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Hi, for one of my physics solutions, I noticed that this formula was applied
Is this even correct..?
Because the funny thing is, doing that gives me the correct answer!
I assume that's how you define Delta t^2
If that were to be the case then I can't seem to wrap my head around the derivation...
Actually I'm going to give that a quick shot
Yea it doesn't work that way...
That's like a base formula for change in time
Ohhhhhhh
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well yea hello, need help ?
You can substitute values of x in.
have you seen what are a and b in y = ax + b ?
No
Wdym
You can substiture a value in for x, eg. -2(0)-3
Substitute a different value in for x.
Hello do you have good clips to understand ( Cos ) ( sin )
So like -2(1)-3?
Yes, like that.
Oh ok I got it now thanks for the help
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@gloomy lynx @leaden snow the number isnt divisible by 7
@kindred hornet Has your question been resolved?
it seems to be divisible by 103
Prove that the number 99 … 91, a number consisting of 2023 9’s and then a 1, is not prime.
^^
this number is divisible by 103
but i had to make a script to find a it
how would i prove it mathematically
nvm it is divisble by 7
hi
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How do I sketch #21?
The triangle can look a little different from the answer key, right?
As long as it makes sense? <@&286206848099549185>
@obtuse coral Has your question been resolved?
???
hmm
okay if you want to draw (p, q)
just draw a random point in the first quadrant since p, q are positive
also hi from mr sinn server? xd
Lol yeah hi
Kk
okay then for (2p, 0)
just make the x coordinate
twice as far
and the y coordinate 0
So it doesn’t matter where exactly it is, right?
11.68 mg KI in 100.4 mL of solution
no
Ty
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prove that if 6x ≡ 6y(mod 12), x ≡ y (mod 6)
are you sure you did not mistype either the problem statement or the instructions? @lethal bison
no
then give it another look and make sure everything is typed correctly.
that, or post a screenshot or picture of the problem exactly as it was given to you.
it was probably wrongly explained bcuz it was a friend who wasnt sure about a question and like asked me off her memory so yeah it's probably wrong
but my plan was using euclidean algo to find x and then you get to see that y is 1 or something around that
would that work?
no,
what you want to prove is false
because the statement "if 6x ≡ 6y(mod 12), then x ≡ y (mod 12)" is false
yeah
easy counterexample: x=0, y=2
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Is this correct?
I used L'hospitals rule twice
your handwriting could be better
as-is you have somehow managed to make $x$ and $\infty$ look similar
Ann
but other than that you are correct
Brutal
?
Just found it funny that someone would get called out for their handwriting lmao
you consider "your handwriting could be better" a call-out?
Well, figuratively, not meant to be taken literally
that handwriting really could be better
😭
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how do you get these fractions if A is twice as likely as B?
You could lasso them! They can't get away if their feet are tied
2/3 is twice of 1/3
yeah but why is the denominator 3
hmm why cant the denominator be 3
??
yes
yes
P(A) = 2P(B) = 2(1/3) = 2/3
yes but why would the denominator of p(b) be 3?
hmm i think you should post the question
ahh maybe its because P(A) + P(B) = 1
P(A) + P(B) = 2P(B) + P(B) = 3P(B) = 1
so that P(B) = 1/3
if jar A and jar B are the only possible jars to be selected their probabilities must add to 1
isnt it A that is twice as likely?
not b
If A is twice as likely, then you would double P(b) right?
mmmmmmm yeh sorta
you're right
is it cuz your trying to get b to the same value?
if Jar A is twice as likely, the probability you get Jar A is twice the proba you get Jar B
the other way around couldn't make sense
P(A) = 2P(B)
alright thank you
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aye
I’m just gna put this qn here
in case anyone can help too
I need help for structural formula of A, F, G
@solemn torrent Has your question been resolved?
theres a chem server in #old-network
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wanna ask with limit
$\lim\limits_{x \to 0+}{\frac{\sin{2x}+e-e\ln{(\sin{2x}+e})}{x^2}}$
Dri111
can i calc limit with no lhopital?
Are you sure it's e*ln and not e^ln ?
Whats the derivation of lim x->0 ln(1+x)/x = 1?
Proof
so deriviate the inside of the limit?
No.
Derivation = Proof.
Not derivative
Anyways, maybe I'm using wroong terminology. Its been so long.
And the how and why? Proof using first principle?
Afair, we used series expansion.
Or some overcomplicated binomial proof for the above.
um
just says that lim of (1+x)^(1/x) converges to certain number
and we call that e
Oh. So using that as definition.
Do you the definition of derivatives? Using limits?
have*
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@tame zodiac Has your question been resolved?
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Factorise: a^12-1
,w factorise a^12 - 1
Heh
ok yeah
I am getting (a^6+1) (a^3+1) (a-1) (a^2+1+a) [I factorized a cube - 1]
ok now I got it
TYSM!
@hybrid glade
Ur wlc
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Show that if n is an integer, then n = ⌈n/2⌉ + ⌊n/2⌋
im not sure about my thought process on this, but I think this can be written as p -> q
N/2 + N/2 = 2N/2 = N
it's a ceiling and floor function
Oh....
then there's 4 cases i can think of, since it's an implication:
T -> T
F -> T
T -> F
F -> F
so like, every integer should be able to get back to n even after the floor and ceiling function
There are two cases
Either n is even or n is odd
In both of these cases you can calculate everything explicitly
hmm yeah, i have thought of that too. and either would still hold true
but i'm not sure on how to show it
and if there is a non integer that can still hold the q part true
or a integer that can't hold the q part true
or i could be going in the wrong direction
or rather, would it be wiser to do:
-
non integer, will not be able to get back to n (F -> F) which is still a true implication
-
an integer, gets back to n (T -> T) which is also a True implication
then
i. even case
ii. odd case
If n is not an integer, then the premise is false. If the premise is false then the implication is always true. So this case is already done. There is nothing to do
The only thing you have to do is that if n actually is an integer, then the claim is true
hmmm, i see. so that will be 2 onwards?
And this you can split up into the cases odd and even
Wdym with 2 onwards
-17 is also an integer
from here i mean
Yes
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Tell me the lesson i can study and answer it for you
wym
I wanna take some challenges
Yeah no I can't really understand this
like how do i even get the formula for a proof
Not R implies Q
@crimson sedge sorry for tag but since you're advanced could you help
if you are free ofc
<@&286206848099549185> pls
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Hello, I have a very dumb question but I am very curious.. And it would raise my grade up by 1 point.
So I have this picture.
Of a flower. And I must prove that it is symmetrical.
From the teacher's reaction it is definitely symmetrical in some way..
<@&286206848099549185>
if you bend it half way it will not be symmetrical, but how can I prove It's symmetry? I would be so thankful to whoever can help.
@naive parrot Has your question been resolved?
,rotate
it doesn't turn into itself at 90° but it does at 180°
Okay but if I checked it didn't seem like could turn it 180 degrees?
Some parts don't turn 180
But what excacly do you mean by it turns 180? it doesn't change if it turns? Because it does?
The teacher said at first it is not symmetrical then caught me leaving the school and told me that she looked long at my picture and if I can prove it she will raise my grade..
this part at 9 o'clock is extra fat and is unlike any other
So I asked the teacher did she see any symmetry she asked and said I don't know while laughing.. So she said to google the about point and line symmetries
Yeah..
I don't know if she maybe was like you here haha and maybe saw some symmetry and then I'll show her that It's actually not symmetrical
Well yeah so the conlusion is It's not symmetrical?
well there's no way It's in any way symmetrical in a line symmetry?
somehow.
I digged all evening.
So Im just looking for someone with a clear mind to confirm my finding.
no yeah there's no hidden third option
Well I'll try to be a smartass and explain my teacher why It's not symmetrical what could make it symmetrical
maybe that'll help
Central symmetry (symmetry with respect to an internal point) - when there is a point inside the figure that always bisects the line segments connecting the elements on opposite sides. As a rule, this point coincides with the center of the figure and can also be called the center of symmetry.
neh
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💀 help pls
just look at 2 points, xo the slope formula for them and then look at the y intercept for b
then replace in y = mx + b
the slope formula being
m = (y2-y1)/(x2-x1)
where y2 and x2 are the coordinates of 1 point and y1 and x1 are the coordinates for the first point
preferabely pick the 2nd point higher up the line so tue slope is positive and easier to work out
np
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hi
@swift sinew Has your question been resolved?
no
Cross
🚫
React
🙅♀️
bruh.

yeah so get the % for sports first.
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How do I find the geometric series?
write $3.16316316... = 10 \cdot 0.316316316...$
riemann
not following
do you know how to write $0.11111\ldots$ as a geometric series?
riemann
here's a similar worked problem
https://math.stackexchange.com/questions/818747/converting-a-repeating-decimal
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do what the ratio test tells you to do
do you know the definition of factorial?
do you see the pattern here?
well you multiply by decreasing numbers
so what's 2n+1 decreased by 1?
2n?
yes
So then how many times do I decrease it?
Like if this were a fixed number then you multiply until it reaches 1
until you can cancel
uhuh...
what's $\frac{7!}{10!}$
riemann
bro u be helping everyone
stop spamming everywhere
(7x6x5x4x3x2x1)/(10x9x8x7x6x5x4x3x2x1)
ohh so then you cancel out the stuff below 8
right, but you didn't need to go that far
exactly
1/(10x9x8)
right
okay then lemme see...
simplify 2(n+1) + 1 to see a similar pattern
Oh so I just leave the factorial symbols there
<@&268886789983436800>
<@&268886789983436800>
pretend n = 3 and try cancelling the factorials
ty
@dense frigate Has your question been resolved?
you're missing a (2n-3)! in the denom
It just keeps going
it does. but it does keep going on both bottom and top
instead of 8, there's a number in terms of n where it cancels
so you end up with a few terms only
do this first
yeah
well if n=3 then the numerator is 0
wait nvm
uhuh so the 3! cancels
so that means you get (n+1)^6/(2n+3)(2n+2)n^6
if you just look at the highest power, it's n^6/n^6 = 1
so it's inconclusive?
wait no
it's n^6/n^8
so it goes to 0
.close
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T
hm
is that a laplace transform?
Weierstrass sub
oh nvm
2nd step looks wrong
Then does the 2 cancel each other
I mean u can factor out a 2 from the denominator and then cancel them right?
Sure
Yeah you have two terms in the denominator and t^2 + 1 is not a common factor
@strange fulcrum Has your question been resolved?
.close
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$\begin{bmatrix}0\6\end{bmatrix}$=$\begin{bmatrix}-6\-8\end{bmatrix}$-D
donttry
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Help please
@bold eagle Has your question been resolved?
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I need the solutions to this quadratic equation I have gone as far as dividing but don't understand the rest
er
i like the hammer
its called quadratic formula
but leaving that aside
what did u get after u divided?
thrs slightly more systematic approaches
like
vietas
quadratic
but generally
just check the factors
n guess em
plug em all in
oooo
yes
what does that even
oh
yea no
uve to factors it first
then u apply that zero product property
yea i did
um
and now I do the zero property
right..
oki yes
idk
u
didnt show ur steps lol
u just said u did this n that
ive no idea where u at lol

yea
i now add 3
thats right
yea
ur ans
💀
wot
x=-1 and x=3
yes
and the answer id b
is*
dang that kid was smart to ask such question
he was like 8 yrs old
...
i am dissapointed in myself
🤓
was tryna rickroll u
how do I end this thingy
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and i do it
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how do you do this with the 9 in front
you can substitute u=3x
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hello can someone explain to me why my answer is wrong?
there's no way 4th root of 1250 is 316
.close
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you can't integrate it like that because it's absolute value
the function (x-1) is negative from 0 to 1, so the absolute value changes the sign
basically you have to split it over the positive and negative intervals and then integrate (x-1) where it's positive and -(x-1) where it's negative
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I'm trying to figure out why 25 is that answer
I don't know how to do the problems from 25 onwards and the answer key has absolutely no explanation
could someone help me with #25 and #27
ah right I wrote it down wrong from the answer key B)
can you explain how to get that?
sqrt(8) = sqrt(4*2)=sqrt(4)*sqrt(2) = 2 * sqrt(2)
OH
THANK YOU THAT MAKES SO MUCH SENSE
I was supposed to know how to do that years ago and never understood JFKS;JD
the ones before 25 seemd more complicated tho
they were different, I understood those ones somehow- but the teacher doesn't teach very well and the answer key looks like this
only answers for the odd problems and no explanation at all
very helpful /s
okay thank you!! that makes sense and it's really nice to finally know how to do these kinds of problems
.close
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w you got for 27?
3 sqrt2
:D
bye
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how do i do this
For what values of x is sinx = -1/root2
wdym
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In the solution, how did 1.2 and .8 come? Please explain.
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Hi, what does N stand for here?
How many bits the number requires i believe,
dgh
I think im wrong actually, never seen this way of representing it judt do it when i need it
Wait nvm thst should be ok
A 7 bit system here would have a 2^0
So
See the bottom
It is the n of bits required for the number youre making
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@quartz salmon Has your question been resolved?
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Hello, this is about arithmetic progression and I don't understand how to solve each of the sequences with the n values for each of these three
@flat pier Has your question been resolved?
For the 1) I think I understood (with n+1) but for the other 2) and 3) I don't know how to solve them
@flat pier Has your question been resolved?
@flat pier Has your question been resolved?
@flat pier Has your question been resolved?
Why does it keep saying that
It's making sure your question isn't resolves so it keeps the channel open or closes it for others to use
@flat pier Has your question been resolved?
Oh okay I see, thanks
do you mean like finding a closed form for u_n? i've never heard of "direction of variations" of a sequence, is this statistics?
I meant it like the order of the sequence, determining if it's increasing or decreasing
oh that's a lot easier
so for the first one, un=-4n+5. then u(n+1)=-4(n+1)+5=-4n+1. we can see that -4n+5>-4n+1 (since 5>1), thus un>u(n+1) is decreasing.
for the second, see how with each increase of n we're adding n^2+5 which is always positive?
and for the last one, ||see if you can write it as k*m^n. you know the behavior of m^n depending on the magnitude of m (for example, 2^n explodes to inf, 1/2^n goes to zero, and 1^n stays the same), so you can determine if it's going to go to zero, infinity, or stay the same.||
Alright I see, I'm going to try this
.close
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hi
i might need some help
i multiplied by -2
so
-2L=-2w-8
2L+2w=52
do i just subtract now?
even if if the equals sign is in different places
You can just add 2w to the top equation so they line up
Or yeah, you could use substitution instead
Replace L with w+4 in second equation
and then>??
They got elimination and substitution all mixed up in a different channel, this might be a bit extreme
Solve it
but
Solve for L
You try and see if subtracting works. If it doesn't work then try adding. Only when you try will you really understand.
You only need to eliminate one variable
yes
The other remains
yeah
And you find its value
ye
sub eqn1 in eqn2
2w + 8 +2w =52
w = 60/4 = 15
sub w=15 in eqn1
L = 15 +4
L=19 w=15
you're welcome
waoit
i might have been wrong
im in bed typing with 1 hand with 1 eye closed and the other opened
oh
wont be surprised if im wrong
ok send it
Yes