yeah I can definitely say it's wrong, according to my sim it should be around 0.016
#help-26
thorny flameBOT
oak sequoia
yes I think this is the correct answer
topaz sinewBOT
@oak sequoia Has your question been resolved?
torn vale
What is the condition?
The largest number appearing is 9.
So even if 9 doesn't appear, you still don't get anything that's greater than 9
so it's fine
so it doesn't matter if you select 1 7 times or 9 7 times
whatever you're getting the largest of those is not exceeding 9
torn vale
yeah I can definitely say it's wrong, according to my sim it should be around 0....
..... 
oak sequoia
This is the correct answer btw, none of the options were correct
torn vale
yeah I can definitely say it's wrong, according to my sim it should be around 0....
ok wtf.... your code is wrong
torn vale
what does trail() return
it returns a boolean value
knowing python the boolean value will get changed to either 0 or 1
oak sequoia
Yeah
oak sequoia
What is the condition?
The largest number appearing is 9.
So even if 9 doesn't...
the question asks the probabilty of the largest number being 9
so it does matter if we dont get any 9s
that's why remove all the cases were we dont pick 9
i.e. (8/15)^7
so the final answer comes out to be (9/15)^7 - (8/15)^7
torn vale
hmm if it asks to give you that the largest number picked is exactly 9 then I guess it should be equal to (9^7 - 8^7)/(15^7)
oak sequoia
doesn't is 9 mean the exact same as exactly 9
torn vale
honestly I don't know about that
but I can tell you that what you did is correct if it asks for "exactly 9"
ask who made the question I guess
topaz sinewBOT
torn vale
you're welcome
topaz sinewBOT
Available help channel!
eternal sundial
im having a bit of problem with this question
topaz sinewBOT
im having a bit of problem with this question
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'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
2
sweet shard
You're given the antiderivative so you can differentiate it to work backwards
topaz sinewBOT
topaz sinewBOT
Available help channel!
autumn phoenix
Hello so I tried solving this homework exercise and I wanted to check if it was right. I used the formulas we learned a couple of days ago but the answers seem weird? I just wanna see if I make some error
Ps I Translated from French to English so it may not be all correct English terms
topaz sinewBOT
Hello so I tried solving this homework exercise and I wanted to check if it was ...
elfin sparrow
Looks good!
Although it looks like you can't decide whether to call the intersection point I or H
autumn phoenix
Is it all right?
elfin sparrow
(or is that M)
Yeah the math is right, just the name of that point keeps changing
Sometimes it's I and sometimes it's H
autumn phoenix
Lol 😂 if the math is right I’m fine with changing the letter xD
Thank you so much
elfin sparrow
np 👍
autumn phoenix
How do I close the channel^^
elfin sparrow
you can type .close
autumn phoenix
.close
topaz sinewBOT
topaz sinewBOT
Available help channel!
neon iron
equation 1 :
x + 1 = 4 , x is not equal to 0
equation 2:
2x + 2 = 8
are these equations equivalent?
I think they are, because they have the same set of solutions (that's just 3).
I am asking this, because one equation has a condition, and the other one doesn't have.
neon iron
The condition is kinda obvious, I don’t think it restricts anything
yeah...
but it could be any condition,
so, as long as it doesn't affect the solution set, it doesn't matter... i suppose
ruby gate
topaz sinewBOT
@neon iron Has your question been resolved?
topaz sinewBOT
topaz sinewBOT
Available help channel!
fickle vale
Hey can someone please help me with this question?
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was?
A. 12
B. 14
C. 19
D. 33
So far,
I let the father's age be F
and the son's age as S
topaz sinewBOT
Hey can someone please help me with this question?
A father said to his son, "I ...
fickle vale
So the father's age now is 38
Let P be the fathers age when the son was born
38 - S = P
Wait hold on
so
lets change it
let X be the number of years ago
and the father's age be F which is 38
and the son's age be S
So 38 - X = S
How do I solve from there?
what do I substitute?
maiden shale
Hint, at present the father is twice as old as the son
maiden shale
He's telling his son he had his age when he was born
fickle vale
Yes
maiden shale
Wait, did I misread? 🤔
fickle vale
19 is correct as the father's age when the son was born
but how did you get that other then common snense
like how do we solve it?
maiden shale
If the son is X years old at present and the father was X years old when he was born, then the father is 2X old at present
So, if the father is 38, the son is 19, and five years ago he was 14
maiden shale
lyric mountain
Isn't it no because P(A intersection B) != P(A)P(B)
topaz sinewBOT
Isn't it no because P(A intersection B) != P(A)P(B)
lyric mountain
you need to prove that P(A intersection B) != P(A)P(B)
long stirrup
makes no sense
long stirrup
how can you say that equals P(B)
jade thunder
what does it mean for A, B to be mutually exclusive
having a mathematical definition for that term "mutually exclusive" might help you out
long stirrup
they know what it means, that's the first thing they write there
jade thunder
oh well i didn't see 😦
lyric mountain
how can you say that equals P(B)
P(A intersection B) is a empty set. So all that's left would be P(B) which is given.
lyric mountain
Where?
jade thunder
2nd line
the probability that A happens given B happened should be 0 since they are ME right?
but you've written that it's P(B)
lyric mountain
Wait why would it be 0? I wrote a condition for P(B), that it had to be greater than 0.
jade thunder
which, if they are ME, must be 0
if B has happened
A CANNOT also happen
otherwise they wouldn't be ME
so then P(A|B) = 0
similarly for P(B|A)
dense anvil
topaz sinewBOT
dense anvil
is this a typo from textbook
runic crag
Probably yeah
dense anvil
.close
topaz sinewBOT
Available help channel!
turbid rose
how would you find the vertex's of a nth degree polynomial
topaz sinewBOT
how would you find the vertex's of a nth degree polynomial
valid marsh
do you know calculus
valid marsh
how would you find the vertex's of a nth degree polynomial
do you have an nth degree polynomial you’re trying to find the vertices of?
turbid rose
dont have a specific one just wanted to know
valid marsh
how would you find the vertex's of a nth degree polynomial
one way would be to differentiate it and then set the derivative to be equal to 0
a routine thing to do, if you know calculus
valid marsh
dont have a specific one just wanted to know
What led you to this question?
turbid rose
uhhh i was drawing
polynomials
but it wasnt required to find the vertex
just the intercepts
valid marsh
how would you find the vertex's of a nth degree polynomial
If you want a method you can apply, then here’s one: let p(x) be a polynomial, like $$ p(x) = ax^n + bx^{n - 1} + cx^{n - 2} +\cdots + z $$
thorny flameBOT
(a + b)^2 = a^2 + b^2
valid marsh
Then consider $$ p’(x) = nax^{n - 1} + (n-1)bx^{n-2} + \cdots + z_1 $$
Set p’(x) = 0, then the resulting solutions will be the x coordinates of the vertices
You’ll learn why this works in calculus
thorny flameBOT
(a + b)^2 = a^2 + b^2
turbid rose
chain rule?
valid marsh
chain rule?
what
turbid rose
nvm
turbid rose
Set p’(x) = 0, then the resulting solutions will be the x coordinates of the ver...
ok tytyty
.close
neon iron
What branch or topic of math does this Question belong to?And also help me with the answer.
topaz sinewBOT
What branch or topic of math does this Question belong to?And also help me with ...
rich fossil
Synthetic Geometry?
or Euclidean geometry
well euclidean geometry is a subfield of synthetic geometry
You could use Apollonius's theorem
Relates the legs and medians of a triangle
neon iron
Synthetic geometry like coordinate geometry?
rich fossil
the opposite
Synthetic geometry doesn't use a coordiante system
just uses the postulates, axioms, theorems or whatever
neon iron
Gotcha TQ bro
topaz sinewBOT
@neon iron Has your question been resolved?
neon iron
Yes
quick wharf
topaz sinewBOT
quick wharf
is the limit e not supposed to have a little negative on it?
and how did they get - infinity, i could just conclude that its divergant
idle edge
and how did they get - infinity, i could just conclude that its divergant
ln x goes to -inf as x goes to 0
idle edge
is the limit e not supposed to have a little negative on it?
technically yes but when M -> e with M > e, the limit does not exist
idle edge
ln x goes to -inf as x goes to 0
same thing here, x going to 0- wouldn't make sense
quick wharf
technically yes but when M -> e with M > e, the limit does not exist
so when do I need to use the negative, and when can i just put it the number
idle edge
so when do I need to use the negative, and when can i just put it the number
always put the sign if you're not sure it can be removed
what do you mean by "put in the number"
replace M by e here for example ?
quick wharf
what do you mean by "put in the number"
yeah by number i mean the limit that makes the integral improper
coarse bluff
this is so random but uhh
topaz sinewBOT
this is so random but uhh
coarse bluff
i just randomly thought about this
so if we have like the number 5 for example
half of it is 2.5
but if we have 5 objects
lined up
the middle on is the 3rd one
is there a technical name for that middle number
ruby gate
why is yours censored
coarse bluff
me redefining stuff 😭😭😭
ruby gate
coarse bluff
in complicated ways
timid moth
timid moth
topaz sinewBOT
timid moth
how do u do this
I try taking k to be 1 and simplifying the expression
But it doesn't reduce to smth meaningful
topaz sinewBOT
Show your work, and if possible, explain where you are stuck.
neon iron
which part?
neon iron
you want to find k, not set k to be 1
neon iron
use calc for part a
timid moth
Can u specify how
neon iron
a (differentiable) function is constant iff the derivative is 0 everywhere
neon iron
yes
timid moth
i cant solve this tho
neon iron
why not?
timid moth
i dont know how
neon iron
rearrange for k...?
rich fossil
you may be able to just use trig identities for these but it'll prolly be long and inefficient
hushed flint
1-3sin^2xxcos^2x + k(1-2sin^2xcos^2x)
Simplify the expression
-3-2k=0
k=3/2
rich fossil
timid moth
i think
u might be able to juse use sin^2+cos^2
and make it squared
and cubed
to get the expression?
rich fossil
or possibly express cos in terms of sin vice versa
neon iron
neon iron
its much simpler than that
timid moth
i think derivative is harder:(
neon iron
k= what?
neon iron
equate to 0 and rearrange
thorny flameBOT
timid moth
i need to bike home
topaz sinewBOT
@timid moth Has your question been resolved?
dire pumice
topaz sinewBOT
dire pumice
how do you do a and b?
is this the correct working out?
arent they the same anyway
cause its an isoceles
it is
so how do i write the answer for a and b
i dont know
how do you work out that xbc is 75 degrees without knowing it is
wait a min
this stuff isnt even on our test
oh my god i wasted so much time learning this
im gonna close this thanks for the help.
you 2
.close
summer dock
we can find the perimeter
rancid rock
How?
summer dock
since the three sides with x are joined by two right angles, you can draw in another side temporarily to create a square with side length x
then figure out the remaining two sides using pythagoras
summer dock
?
topaz sinewBOT
@rancid rock Has your question been resolved?
rancid rock
Can someone please help
topaz sinewBOT
topaz sinewBOT
Available help channel!
low fable
help
elder leaf
Yeah no worries lmao I was doing that
low fable
I have to revise scientific notation calculations for an exam
(4,8 x 10^8) + (1,2 x 10^7)
(7,2 x 10^-3) ÷ (2 x 10^-5)
(3,5 x 10^-9) - (4,1 x 10^2)
(2,5 x 10^4) x (3 x 10^6)
i only know how to solve the multiplication one
how do i solve the others
dusk fossil
I have to revise scientific notation calculations for an exam
are you familiar with the properties of exponents
like (a^n)^m =a^mn
low fable
are you familiar with the properties of exponents
sorry, i learn math in fr🤮nch
low fable
like (a^n)^m =a^mn
these? lemme send u a pic
dusk fossil
yes
low fable
oh yeah ik them
dusk fossil
(4,8 x 10^8) + (1,2 x 10^7)
ok for this one you can just divide 4.8 by 1.2
low fable
but my question is how do we do it if we have differents exponents (m & n) and numbers (a & b)
neon iron
$$ \frac{4.8(10^8)}{1.2(10^7)} $$
$$\frac{4.8}{1.2} \frac{10^8}{10^7}$$
thorny flameBOT
brandon_hu
low fable
what
dusk fossil
low fable
$$ \frac{4.8(10^8)}{1.2(10^7)} $$
$$\frac{4.8}{1.2} \frac{10^8}{10^7}$$
what's this beautiful mathematical visualization tool?
dusk fossil
do you get that
low fable
its in the formulas yes
ohhh i forgot we can put it in the form of a fraction
bruhhhh my bad
neon iron
what's this beautiful mathematical visualization tool?
latex
dusk fossil
(7,2 x 10^-3) ÷ (2 x 10^-5)
can you do this one @low fable
low fable
can you do this one <@645633624519081986>
yes
its simple i just got it
but about the addition
craggy haven
how does it work, please tell me
low fable
if we have different exponents and numbers, how does it work
||just wanted to say that i am not stupid, i just forgot everything i've seen in maths during this year||
dusk fossil
||just wanted to say that i am not stupid, i just forgot everything i've seen in...
thats okay
low fable
so?
dusk fossil
(4,8 x 10^8) + (1,2 x 10^7)
ok so for this one you have two options
write it normally then add
then convert to scientific notation
low fable
ok so for this one you have two options
yes?
low fable
then convert to scientific notation
isnt that too long?
low fable
ok, what about 7x10^7 - 7x10^6
dusk fossil
then it would be 49.2 x 10^7
then just move the decimal one to the left and add 1 to the exponent
low fable
ok, what about 7x10^7 - 7x10^6
this problem, in a math exam, i just wrote 70000000-700000=63000000=6,3x10^7
dusk fossil
then make it scientific notation
low fable
this problem, in a math exam, i just wrote 70000000-700000=63000000=6,3x10^7
but the teacher said the justification was a complex one
dusk fossil
this problem, in a math exam, i just wrote 70000000-700000=63000000=6,3x10^7
that is also correct
low fable
is there a simpler justification?
low fable
that is also correct
yes but i didnt get all points
neon iron
I think it's easier to understand if you try to visualize the numbers in your cranium
low fable
I think it's easier to understand if you try to visualize the numbers in your cr...
my cranium tiredium
low fable
I think it's easier to understand if you try to visualize the numbers in your cr...
i didnt say i dont know how to do it
i said how do i justify the calculation
in a simpler way
neon iron
10^6 is 1 one decimal place smaller than 10^7
dusk fossil
you can either lower the highest exponent or raise the lowest
whatever is easier for you
neon iron
10^6 is 1 one decimal place smaller than 10^7
so 10^7 + 10^6 is just (1+0.1) 10^7
the decimal moves over one because it's one smaller
low fable
ohhh yeah u just reminded me this is how she said we should answer!
thx bro
ok now onto the next chapter
statistics
(btw if yall wondering i am revising for DNB, its to pass to 10th grade, the exam is tmr and i havent revised anything)
i have 11 chapters to revise
in 6hours
luckily i still remember some things
let me tell u what i need to learn for statistics chapter
and histograms
hello?
dusk fossil
i do not know french
dusk fossil
croissant
dusk fossil
I order croissant
low fable
whats moyenne in english i forgot
low fable
I order croissant
i am not fr🤮nch, i just study in a fr🤮nch school
low fable
I order croissant
oh yeah the average
do we say weighted average in english too?
,,
,,help
thorny flameBOT
low fable
,help tex
thorny flameBOT
,, <equations>
,tex <code>
,align <align block>
,texsp <code>
,texw <code>
,tikz <code>
Click 
to show more information.
low fable
,, 1*1
YOOOOOOO IT WORKS
,, (1,83^-2)/(93x)
,, (1,83^(-2)//(93x)
,, (1,83^(-2))//(93x)
nvm bro is stupid
dusk fossil
,, (1,83^-2//(93x)
thorny flameBOT
Mended
low fable
see? he's stopid
dusk fossil
we just dont know the syntax
low fable
delete him
dusk fossil
you can write incredibly complex stuff in latex
low fable
do u know averages and medians
low fable
you can write incredibly complex stuff in latex
thats for later
dusk fossil
divide by the number of terms
low fable
do we say weighted averages in english?
like for example
do we say 11x3+12x7+13x12+16x10+15x6+16x2/3+7+12+10+6+2
low fable
production of honey in kgs
and the other one number of beehives
the average is 13.875kg per beehive
low fable
the average is 13.875kg per beehive
thats the weighted average (in french)
dusk fossil
that sounds right
low fable
so you guys say it in english?
dusk fossil
maybe
low fable
population is all of the individuals studied
and character is the studied particularity
for example here the population is the beehives
halcyon compass
I mean for the most part it is the same
low fable
and the character its the amount of honey they produce
halcyon compass
o sorry wrong channel
low fable
o sorry wrong channel
np
dusk fossil
that makes sense
low fable
ok got it?
dusk fossil
yes
low fable
now you of course know whats a median
The values of the series are arranged in ascending order;
We divide the total workforce by 2;
If the total count is odd, then the median is the central value;
If the total frequency is even, then the median is the half-sum of the two central values.
do u know this
dusk fossil
yes
low fable
ok
what about " l'étendue "
like the difference between the biggest and the smallest value
its a dispersion indicator or smthing
the more the étendue is big, the more the serie is dispersed
yeah we should pass statistics chapter its easy
@dusk fossil do u know something called " calcul littéral "
and remarquable identities
ping me when u get back
dusk fossil
and remarquable identities
i am familiar i just never knew they had a name
low fable
i am familiar i just never knew they had a name
(a+b)²= something like that
there are 3 of themm
low fable
dusk fossil
im familiar with all of this
dusk fossil
entering college
low fable
10th?
dusk fossil
13th
low fable
bruh
ur older than me which i do not accept
anyways
yeah lets skip this chapter as well
i'll just do some exercices to be sure
u know what man
i'll do some exercices real quick for all my chapters
dusk fossil
whats your biggest struggle
low fable
then come back if i have some problems
low fable
whats your biggest struggle
thats the problem , i dont know
dusk fossil
ok just ping me
low fable
let me do a mock exam
low fable
ok just ping me
will do
elder leaf
Yup
low fable
🥐
elder leaf
Kebab ????
low fable
LETS GO ENFIN QUELQUN
elder leaf
low fable
t'es en quelle année d'étude
elder leaf
1ere année de master
dusk fossil
l'order croissant
low fable
1ere année de master
oaaa c'est loin ca
low fable
l'order croissant
yes 🥐 order
dusk fossil
i order croissant
elder leaf
Mais c'est un master en enseignement par contre
low fable
1ere année de master
chuis dans la merde j'ai le brevet demain
low fable
Mais c'est un master en enseignement par contre
ah tu va devenir prof?
elder leaf
Ui
elder leaf
chuis dans la merde j'ai le brevet demain
Tu t'y es pris a temps du coup ?
low fable
Tu t'y es pris a temps du coup ?
non comme un gros con
elder leaf
Aïe
low fable
j révise au dernier jour
dusk fossil
is it true that parisians speak in reverse french
elder leaf
Yup
low fable
is it true that parisians speak in reverse french
parisians are weird
dusk fossil
and sometimes those reversed words become reversed
low fable
im not even french
dusk fossil
thats weird
low fable
and sometimes those reversed words become reversed
ahh le verlan
low fable
de ouf
dusk fossil
how does that even occur
i guess they just get bored after living in a city that smells like piss
low fable
i guess they just get bored after living in a city that smells like piss
i dunno it just happened
i see who you are
you are my enemy
myyy enemy
you are my enemy
dusk fossil
idk what they are saying
low fable
man i hate thalès and pythagore although they're simple
elder leaf
Oui
dusk fossil
i know latin
low fable
i know latin
mortis
dusk fossil
and i can kinda under stand this
elder leaf
C'est un bon truc pour la surface du cours, mais pour comprendre le fond, il faut le travailler avec des exos qu'il ne donne pas forcément
low fable
C'est un bon truc pour la surface du cours, mais pour comprendre le fond, il fau...
bien sur j vais faire des brevets example
c'est nécessaire sinon tu va rien comprendre aux problèmes
low fable
i know latin
Sus scrofa domesticus
elder leaf
Yes
dusk fossil
Sus scrofa domesticus
thats not correct
low fable
thats not correct
cap
dusk fossil
it would be tu sum scrofam domesticam es or sum scrofam domesticam es
low fable
it would be tu sum scrofam domesticam es or sum scrofam domesticam es
latin is a dead language
dusk fossil
the sus is redundant
low fable
ah yes astaghfirullah i forgot
topaz sinewBOT
@low fable Has your question been resolved?
topaz sinewBOT
topaz sinewBOT
Available help channel!
uncut agate
Hi, I’m trying to solve this inverse laplace transform, this is what I did, where is my error? I don’t get the same result of wolfram
topaz sinewBOT
Hi, I’m trying to solve this inverse laplace transform, this is what I did, wher...
uncut agate
topaz sinewBOT
@uncut agate Has your question been resolved?
sweet shard
maybe remove your helper role if you're not willing to read two sentences
unkempt condor
Thank you! 🙏🏻
If it’s hard to read then I can take another photo for you but I don’t understand how you can call yourself a “helper” if you can’t read to lines of question?
sweet shard
<@&268886789983436800>
little ore
sweet shard
true irony
unkempt condor
can one of you help me please (with the q)
thanks for dealing with the other guy btw
<@&286206848099549185>
strong oak
<@&286206848099549185>
If the person doesn't win either of the games, there are two scenarios where that happens: draw in chess and lose in pool OR lose in chess and lose in pool. How I do probability trees is I "travel" along the paths, multiplying along the way. So we'd multiply draw in chess times lose in pool, then do the same for the other scenario, then add the two probabilities
topaz sinewBOT
@unkempt condor Has your question been resolved?
topaz sinewBOT
topaz sinewBOT
Available help channel!
topaz sinewBOT
split goblet
using sohcahtoa to solve this
how do u determine if the the values r negative or not
cause who says the hypotenuse, 7, can't be negative
(need this for future problems)
like how did they determine that 7 should be positive
radiant tapir
have you ever heard of "All Students Take Calculus"?
split goblet
rings a bell
radiant tapir
split goblet
but i dont remember
radiant tapir
starting in quadrant 1 and going counter clockwise, it'll tell you which trig function is positive in which quadrant:
Q1: All positive
Q2: Sin positive
Q3: Tan positive
Q4: Cos positive
Hence, "all students take calculus"
that's how you determine what's positive and negative
split goblet
starting in quadrant 1 and going counter clockwise, it'll tell you which trig fu...
can you demonstrate how it would work in the problem above i sent
csc (theta) = -7/3
so
split goblet
according to this, csc would be positive?
radiant tapir
$csc(\theta) = -\frac{7}{3}\\$
$csc(\theta) = \frac{1}{sin(\theta)} = -\frac{3}{7}$.
thorny flameBOT
MellowDramaLlama
radiant tapir
that tells us that the sin term is negative
sec = 1/cos as well, so if sec < 0, then cos < 0
so we know we're in Q3
fiery hornet
I just need some help figuring out how to solve for range.
I already set f(x) as “y” and went to solve for x, to which I got x = +/- 2, but I’m not entirely sure if my process to get to that answer was correct, or what to do now that I’ve got what “x” equals.
bitter mortar
Are you familiar with the definition of the range?
fiery hornet
All possible outputs from a function, right?
bitter mortar
Yes! 😄
fiery hornet
Hmmmmmm...
Well, to help myself atleast see what I'm working with, I threw it into a graph, and now I'm wondering if the answer is just +/- Infinity, because it just keeps towards +/- 4, but never reaching there, as is what I figured out when I got the domain
bitter mortar
I like your domain 🙂
fiery hornet
Er... although the "other" question I would have now is, without a graph, how would you show that..? If it's clear through a graph that the answer isn't infinity, do I just "say" what the range is?
Putting f(x) as y and solving for x got me to +/-2, but the graph shows a much more believeable +/- Infinity
bitter mortar
Putting f(x) as y and solving for x got me to +/-2, but the graph shows a much m...
I'm not familiar with this method, sry
Well by common sense / "say".
Usually, the domain will limit the range
however, here the domain doesn't impose restrictions on the maximum and minimum values of the output
fiery hornet
So the domain is just telling me where the limit will be, but not how high/low the value of the output will be
bitter mortar
That sounds about right! And then you find those values of the extremes, that would be your range
A light example:
f(x) = 4x for -1 < x < 4
Also called Domain: (-1, 4)
Then the range would be:
4 * -1 and 4 *4:
Range: [-4, 16]
fiery hornet
The domain is all numbers greater then -1 and less then 4.. right?
o-
saw the edit
bitter mortar
Hehe nice.
Minor mistake: The < should be <= and same for >= I believe
topaz sinewBOT
half edge
Ye sure Lemme látex it rq homey
np
$210 \pi m^2 \cdot 1.5 mm = 210 \pi m^2 \cdot 1.5 mm \cdot \frac {1 m}{1000 mm} = \frac {210 \pi m^2 \cdot 1.5 m}{1000} = \frac {315 \pi m^3}{1000} = \frac {63 \pi m^3}{200}$
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northsteve
flat sentinel
@half edge THANK YOU
half edge
NP BRUDA
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sleek halo
domain of $e^{\frac{-1}{|t|}}$
steamhahasteamhaha
sleek halo
Is it all except 0?
sleek halo
e^x has full support, -1/x hates 0, abs() has full support
what do you mean by full support
craggy haven
like as in every input value is valid
sleek halo
oh ok
craggy haven
the domain is R in other words
knotty ledge
i wouldnt use the word support that word is taken by something else
sleek halo
the domain is R in other words
I wasn't sure at first becuase isn't e^-infinity = 0? 🤔
craggy haven
i wouldnt use the word support that word is taken by something else
yeah good point
craggy haven
I wasn't sure at first becuase isn't e^-infinity = 0? 🤔
e^x trends to 0 as x goes to negative infinity
-infinity isn't a number unless you're working in something called the projective plane (you're not)
sleek halo
e^x trends to 0 as x goes to negative infinity
how about this one
$\frac{\ln (1-t)}{t}$
is it $( -\infty, 0) \cup (0, 1)$
craggy haven
\cup for union btw
seems right to me
thorny flameBOT
steamhahasteamhaha
sleek halo
\cup for union btw
seems right to me
ty
topaz sinewBOT
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frail junco
hiya
frail junco
I’m stuck after reaching -1/(uk+2)
do i have to prove uk >0 with mathematical induction first or is there another method
grim jacinth
Wym?
Oh + 1 - 1?
I'd argue it's quite clear that u_n > 0 for all n
But you care about bounding it above
icy sky
frail junco
ohhh okay ty
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grim swift
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neon iron
can anyone help me with math
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finite mortar
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finite mortar
heres the diagram
for part b i dont get how the magnitude of the acceleration when the string is slack = gsintheta
craggy haven
acceleration due to gravity is directly down at g
but we care about the acceleration in the direction down the slope
finite mortar
hmm so 3gsintheta would be wrong? because that's just a component rather than acceleration?
craggy haven
well... it's probably the component we care about
acoustic tangle
heres the diagram
Is the surface frictionless?
finite mortar
yeah
acoustic tangle
Alright, so we can set up the system of equations mg - T = ma and T - mgsin(theta) = ma
(Assuming the hanging object is going down, if something goes wrong then we do the other case)
acoustic tangle
It says so?
craggy haven
why would the hanging object go up?
pretty sure B is going to fall and hit the ground with a loud bang
finite mortar
'B is immediately brought to rest by impact with the ground'
yeah im asking about A's acceleration when string goes slack
after it hits
acoustic tangle
B can't hit the ground if it goes up
acoustic tangle
Alright, so we can set up the system of equations mg - T = ma and T - mgsin(thet...
Anyway, here you can solve for T easily
Or you wanted to start with part b/c?
finite mortar
yeah im asking about part b😭
craggy haven
if A comes to rest the surface is definitely not frictionless
finite mortar
i see where you're coming from thats technically true
but question said smooth fixed plane so i guess they simplified it in that sense
acoustic tangle
Alright, so, since B travelled a distance of 0.8m, A must have also travelled that amount but on the inclined plane
finite mortar
plus the string doesnt break anyway it just goes slack
acoustic tangle
So CD = 0.8m
craggy haven
oh "instantaneous rest" as in it just stops yeah ok i see
finite mortar
only part i dont really get is why the acceleration is gsintheta
everything else is quite standard, u use the final velocity as initial velocity and work out the remaining distance to add on to 0.8
craggy haven
i'm very confused by this question because from what you've said it doesn't seem to require g at all
acoustic tangle
heres the diagram
When you draw the mg vector for A and project it onto the inclined plane, you get mgsin(theta)
craggy haven
F = ma
finite mortar
F = ma
isnt this the point where it has instantaneously stopped though
isnt that only for motion
ah now im so confused
craggy haven
does it talk about g sin theta for part (b) or part a?
finite mortar
part b
acoustic tangle
Weird, it's more relevant in part a
Anyway, if only gravity is acting upon an object on an inclined plane, then its acceleration will be F/m or mgsin(theta)/m and hence gsin(theta)
finite mortar
okay i kinda am getting it, used f = ma as it is still moving and hasnt stopped yet
and i got a = -g sin theta
im wondering if they just made it positive because its the 'magnitude' of the acceleration
since surely if its going to stop, acceleration has to be negative as its basically decelerating
acoustic tangle
Magnitude is always nonnegative, yeah
finite mortar
shit question
but makes sense now, ill just use f=ma if its moving
thanks both
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oak root
Hello, how to show that $2^{n} - 1$ is a prime number only when n is prime
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lilisworld
oak root
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buoyant bane
hello! i recently learned how to attack geometry problems with vectors, and i wanted to try it on an AIME problem. (i know vectors may not be the best way to do this, but i want to learn and practice)
whenever I try my "slick vector method", i get a wrong answer
topaz sinewBOT
hello! i recently learned how to attack geometry problems with vectors, and i wa...
buoyant bane
if you consider A as (0, 0, 0)
then A->B + A->C + A->D = A->G
(sorry i don't know how to notate vectors)
buoyant bane
then A->B + A->C + A->D = A->G
so B + C + D - 3A = G - A
2A = B + C + D - G
so then, as my textbook told me, I can put the origin wherever i want
so i set the origin to point P
then i know the lengths of B, C, D, and G cuz they're given in the problem, and from that i should be able to find A
but when i plug in these values, i get a messy radical expression which doesn't match the given answer
keen venture
So you set the origin to A, and to P?
buoyant bane
uh
buoyant bane
2A = B + C + D - G
so i derived this with the origin as A
if i move the origin, does that make the equation invalid
keen venture
2 times a point = the sum of 3 points, minus another point?
Or, these are vectors from the origin to these points, given that the origin is A?
We typically call the origin "point O", and then a vector from O to B would be "OB"
My major concern is I don't see any statement about P at all in your write up
buoyant bane
We typically call the origin "point O", and then a vector from O to B would be "...
oooh okay
buoyant bane
2A = B + C + D - G
2OA = OB + OC + OD - OG
now from my understanding, i could set O wherever I wanted
so i wanted to set O to P
keen venture
Problem is that choosing the origin twice is essentially saying A = P
I see you're trying to decouple these two settings, but
- You don't really gain anything from a temporary O
- You're likely mistaken at this point
Now, I think you can still do this work without setting A as the origin anywhere. Your first equation can still say:
AB + AC + AD = AG
Okay wait I think I see what you're saying. Let O be any point
buoyant bane
2OA = OB + OC + OD - OG
i feel like this claim should hold for any O
topaz sinewBOT
@buoyant bane Has your question been resolved?
buoyant bane
i think i can ping <@&286206848099549185>
buoyant bane
2OA = OB + OC + OD - OG
if this claim is true for any O, why does it not work for point P?
topaz sinewBOT
@buoyant bane Has your question been resolved?
buoyant bane
i took a shower and realized why i'm wrong
buoyant bane
but when i plug in these values, i get a messy radical expression which doesn't ...
i'm plugging in the magnitudes of the vectors rather than the vectors themselves, so of course it will give me a nonsense answer
lesson learned: if you ever can't figure out a problem, take a shower
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boreal leaf
I'm not very good at integration
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I'm not very good at integration
mellow venture
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sweet arrow
<@&286206848099549185> can y'all help me with physics problem?
topaz sinewBOT
<@&286206848099549185> can y'all help me with physics problem?
sweet arrow
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plush dew
what is the value of zero factorial
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what is the value of zero factorial
neon iron
1
snow girder
Hi. Please someone help me.
snow girder
Draw a 6-sided shape that divides the shape into 4 equal parts using only one possible line.
sweet shard
closed your other channel
drifting swift
Draw a 6-sided shape that divides the shape into 4 equal parts using only one po...
is there a picture to go with this?
snow girder
Just that.
But that's not answer
It's just for showing 6-sided shape
So?
<@&286206848099549185>
sweet shard
!15m
topaz sinewBOT
Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.
@snow girder Has your question been resolved?
snow girder
@sweet shard can you help me?
sweet shard
no, i can't read this
snow girder
Draw a 6-sided shape that divides the shape into 4 equal parts using only one po...
It's just this
topaz sinewBOT
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topaz sinewBOT
@snow girder Has your question been resolved?
echo salmon
topaz sinewBOT
sweet shard
looks like an injection problem
injection/injective is synonomous to one-to-one
https://www.khanacademy.org/math/linear-algebra/matrix-transformations/inverse-transformations/v/surjective-onto-and-injective-one-to-one-functions
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bronze bison
hey
bronze bison
sequence of functions
if the sequence converges uniformly, then the function f inherits integradability from the sequence
does someone have a nice proof for this?
i want to change this then to show or not show the same for improper integrals
topaz sinewBOT
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bronze bison
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south osprey
How would the diagram for this look? Im having trouble visualizing it
boreal leaf
Hello
Start by drawing the object
Preferably on an horizontal surface
A point object
south osprey
A point object
Like this?
boreal leaf
20 degrees to each other
craggy haven
that seems like what I have in my head
20 degrees is a lot smaller than that but hey it's a diagram
boreal leaf
The angle between the force vectors is 20 degrees
south osprey
The angle between the force vectors is 20 degrees
? Isnt the angle between the 2 vectors in my diagram 20 degrees? Or am i understanding it wrong
boreal leaf
Draw the arrows to indicate their direction
The angle between their tails is the angle between them
south osprey
The angle between their tails is the angle between them
south osprey
What is the force vector that points downwards for?
the resultant
or should it be in the other direction maybe?
south osprey
oh okok
boreal leaf
Also that equation you wrote is wrong
south osprey
o what equation do i use for it?
boreal leaf
No no
south osprey
?
south osprey
ok ill use that formula and see if i get the correct answer
boreal leaf
I don't think it's the cosine law
south osprey
oh yeah cosinelaw is -2abcostheta
boreal leaf
How did it go
south osprey
How did it go
oneee sec im trying to fully understand it first
fierce zealot
For $f(x,y) = xy$ on $4x^2+y^2 = 8$, how can I find max and min using Lagrange Multipliers?
topaz sinewBOT
For $f(x,y) = xy$ on $4x^2+y^2 = 8$, how can I find max and min using Lagrange M...
thorny flameBOT
KN
fierce zealot
$f_x = \lambda g_x \implies y = \lambda 8x$
thorny flameBOT
KN
fierce zealot
$f_y = \lambda g_y \implies x = \lambda 2y$
thorny flameBOT
KN
fierce zealot
Then $y = 16 \lambda^2y$
thorny flameBOT
KN
fierce zealot
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ionic oar
$\lim_{{x \to 0}_{y \to 0}} \frac{y^2 + \sin x}{x^2 + \sin y}$ where $(x,y) \to (0,0)$ along $x = y^2$
topaz sinewBOT
$\lim_{{x \to 0}_{y \to 0}} \frac{y^2 + \sin x}{x^2 + \sin y}$ where $(x,y) \to ...
thorny flameBOT
neonperseus
ionic oar
idk how to write it in LaTeX the way the worksheet puts it
But I've never done this before
So uh
How do you
drifting swift
so, lim (y^2+sin(y^2))/(y^4+sin(y))?
ionic oar
Can you treat it like seperate limits
ionic oar
so, lim (y^2+sin(y^2))/(y^4+sin(y))?
Oh
lmao
I'm overthinking
I was gonna plot graphs and do wierd shit
Thanks ann
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grim swift
