#help-0
1 messages · Page 841 of 1
do i know dr/dt
?
hmm ok
idk how do find it
im still thinking tho
okay
$V'=\frac{\pi }{3}\left(12rr'\right)$
ski
i'm here btw
i hadn't scrolled down
yes it does
its 8"
yeah haha
i didn't see that lmao
yeah sure
i think i understand what you're saying, im just not sure how to do it
👍
marc
marc do u have stats background by any chance
i have a simple question
that i have an idea for
ah ok
keep getting ignored 😦
ok np
wait wait
derivative of r^2 is r*r'?
not 2r*r'?
ok cool just making sure
where is the extra r coming from
oh damnit
product rule
i always forget product rule
$V'=\frac{\pi }{3}\left(r^2h'+2hrr'\right)$
ski
marc
and knowing what the mf question is asking
marc
ski
umm ok lemme think
def just amount of coffee in the cone
so calculate V at a height of 7
i can put it into terms of v and r
but i cant solve for either
$V=\frac{7\pi }{3}r^2$
oh boy
ski
i love trig

this is the right triangle thing right
ok lemme try really quick
here's where i'm at
no
mb
okay so u just cut off the bottom to get it down to 7
but if you 'cut off' part of it
the radius will change
7tan(theta) = b (the value i picked for new radius)
well idk what that angle is
well my answer has a theta in it
because idk that angle
like i get b = 7/tan(theta)
are cones isocolise triangles?
dude no way im spelling that
lmfao
according to google yes ok
to solve tanx = 6/7 just arctan both sides
didnt see any context but maybe thats what you need
oh lol
i will leave then 👍
how do you know radius is 4?
you cut off part of the cone so radius isn't half of 8
yes i understand
but idk how i know theta
ok
one sec
well ik you cut it in half
but the radius isn't for when the height is 7
but lemme find theta hold on
wait
idr how to do that lmfaoo
i know tan(theta) is 2
don't i have to use inverse trig functions or smth
ah so its arctan(2)
should i measure in rad or
no that would be dumb
63.435 degrees
eys
yes
yes lemme try
3.74
radius
?
hm idk what i did wrong
i got 61 degrees
oh
i didn't specify degrees to google
so it did radians
7/2?
ish
nice
ok nice so now i have the radius at this point
and the height
so i plug those into $6=\frac{\pi }{3}\left(r^2h'+2hrr'\right)$
ski
ski
ok wait so how do i calculate change in radius
can't i just rewrite the v' equation
then im not sure what to do
sorry to make you walk me thru it all
arctan
but that is to find a radius not to find dr/dt
marc
ski
oh assuming i already know theta
i mean its the same angle
so yeah
oh lol u already told me it basically
$\frac{h}{tan\left(63.435\right)}=r$
ski
ski
ok one sec
tell me where i went wrong here
yeah i remembered that
but i forgot to do h'
instead i just got rid of h
bc times (1)
low(d'high)-high(d'low)
/low^2
quotient rule
marc
omfg
lmao
its 1/tan(63...) *h
lol
okay haha
good to know and practice regardless
so r' = 1/tan(63.345)
well let's just do a rn
just to get it done
so is that asking what is dh/dt at h=7
hold on lemme volume of cylinder is just pi r^2h right
marc
$6=2\pi \left(r^2h'+2hrr'\right)$
ski
marc
yes
i think lol
3/64pi = dh/dt
bc
6=128pih'
divide by 128pi
oh
lol
3/32pi = h'
it's not
did i round wrong or smth
it says to 3 decimal places
0.02984155182, i put 0.030
yeah and the view an example thing uses the same method we did
Can you guys do my homework please
no
I don't have time
not our problem.
no
yes
time to get new numbers
have to use new numbers now
ok forget everything
here
okay
V=pi r^2 h
v' = 2pi rr' h'
damn
no big
its ok
np
im not doing anything lol
just math and watching my fish
marc
yeah u dont need to use product rule
bc u can plug in r before you derive
np
does this help
diff numbers, its the view an example thing
exactly
and tried doing it again w the new numbers and still wrong
8
in^3/min
yeah in the example
Can someone please help me I’m so lost
omg
wait
bruh
i think we used 8
instead of 7
in the equation for volume of cylinder
oh i meant hight
oh yeah ok
well
i got part (a) right
with the new numbers now
ok so
$V'=\frac{\pi }{3}\left(r^2h'+2hrr'\right)$
ok there
wait i cant pull that 2 out
ski
there
marc
doing rn
no its ok
ok i get radius at height of 4
is 2
pic is sending
taking forever
did you find tan(theta) = 2?
r
so radius = x=h/r
yes sorry just got confused
wait no bc x=r
so r is there twice
ok r = h_0 / r_0
i know im trying
ok can i just like walk u thru what im thinking
$tan\left(\theta \right)=\frac{h}{r}$
ski
ski
i forgot abt this lol
how come i cant ask question in the advanced mathematics stuff?
bruh
yes bro
i see what you did but i dont understand
can you just tell me where im going wrong
pls
hello
marc
ski
derive
to get r'
what would h'_0 be tho
oh ok
why dont i just replace h_0 with the constant then
r'=12h'
okay
?
im not asking you to
im looking for h' right
because im looking for the change in height /time
how fast is the level falling
that im looking for the change in height over time
which is h'
does the binomial theorem requite 0^0=1?
so i need to put in terms of h'
so r'/12 = h'
ok done
$v'=\frac{\pi }{3}\left(r^2h'+2hrr'\right)$
ski
v' = 8
radius and height depend on each other
so idk either
and r' and h' depend on each other
so idk
bruh
oh mb
.
the problem wants h', or the change in height over time. I'm given the volume change over time
no because everything else depends on each other
.
.
ok i know that when the height is 4 the level in the pot is rising
yeah idk
but you're asking for what i know
so
there
is it asking for how fast it's falling at 4?
doesn't make that very clear if so
the height that it wanted me to solve in part (a)
the coffee
in inches
in the cylinder
that's what i meant
to say
like fr
but it doesn't make it clear that it's basing (b) off of (a)
(3x+2)(2x+7) , so uh whats the sum, i forgot
are you being sarcastic haha
or is it actually not clear
ok cool
bc i didn't think it was
ok so i know h as well
guys i got a quick question am i allowed to ask here ?
lmao
occupied
okay so since i know the height at that point
and i have an equation to solve radius given height
my bad
ski
occupied
don't do it lol
okay so now what
i could solve with substitution
because r'=12h'
$8=\frac{\pi }{3}\left(297h'\right)$
ski
$\frac{h'}{2}=r'$
ski
#❓how-to-get-help read rules please
sorry
good?
forgot the pi
other than that
where do i plug it
and what do i look for
original
or derived
just plugged into mymathlab and got it right
so finally done w that terrible problem
one more
god damn
is this function continuous or discontinuous?
how do i tell the difference
the dots are the limit
check if the right and left handed limits are equal to each other
uhhh im sure
if u want to solve algebraically
is this a trick question
at just x=-3 is it dne
because those two functions dont have the same y value at x
1
and at the right its 2
I MEAN
0
so it would be 0, 1, dne, and by elimination not continous
but why is it not continuous
is it because the lines stop there
marc
who can help me with these
Get two points and get the slope
then you can either use point-slope and convert it to slope-intercept
Or use the y-intercept that’s indicated on the graph
if i can find the equation then i can convert it into slope form
do you still need help
is this channel free
not sure
he isn't responding so i'll ask my question here because I pinged helpers in another channel and didnt get any answers
do you know how whether i need to use Permutations or combinations for this question
A sock drawer contains 18 individual socks, six of which are black, 10 of which are white, and two of which are
zebra-print. You wish to randomly select two socks from this sock drawer.
What is the probability that your selection will consist of matching socks (socks of the same color)?
I have 4 math ixl due in an hour 😭
,w 2/18 x 1/17 + 10/18 x 9/17 + 6/18 x 5/17
could i also do 2C2 + 6C2+ 10C2 / 18C2?
are there supposed to be parantheses in that expression?
yeah nice work
so I have a follow up that I was struggling on,
if It asks me to find the probability that exactly one of my socks will be black
is it the same as (6C1) +(12C1) / (18C2)
my logic is that you only need exactly one, so select 1 from 6 black socks and the other sock will be a non-black which are 12
is that correct?
,w 6/18 * 12/17
hmm
ok then by the same logic, if i wanted to find the probability of just selecting zebra print socks, would that just be 2/18 * 1/17? @tight locust
yeah checks out
alright and I had one question I was hoping you could help me on, i'm not sure if its super simple or very tricky but I got different answers from everyone that i asked
ok
thanks
Consider two independent events, A and B, in a sample space. The probability that only A occurs is 0.3 and the
probability that at least one of the two events occurs is 0.34
so basically in this question im confused what the probability that ONLY A occurs means
what does it mean by the probability that only A is? Does that mean the set P(A and B^c) ?
or is it just P(A) = 0.3
P(A and not B)
alright so do u know how i would calculate Pb) using that info
P(b)
i just have P(A u B) and P(A and Not B)
how do i use that to get P(b) lol
what
P(A and not B) = P(A)(1-P(B)) = 0.3
P(A or B) = P(A) + P(B) = 0.34
,w a(1-b) = 0.3, a+b = 0.34
so what is a then
huh that's weird
i don't quite recall the formula for P(A and not B)
isn't it just P(A)(1-P(B)
but we dont have P(A)
unless you're saying that ONLY A is P(A)
but i thought we're saying that its P(A and Not B)
that's why we have the system of equations. two equations, two variables
i've never had to do solve a system of equations in stats lol
im pretty sure that cant be the correct way
you know what nevermind this
I'll figure it out somehow later, its not really important rn
can you check and see if the answer to this is just 12 P 12
A person has twelve favorite songs. Five of them are pop, three of them are rock, two of them are metal, one is
classical, and one is from a soundtrack. The person wishes to make a playlist of all of these songs by randomly
arranging them (note: the playlist must consist of all 12 songs).
How many different unique playlists are possible?
is this just 12P12
@tight locust
no it's right. i double checked that math. P(B) is about 3%
talking about the previous question
where A and B are P(A) and P(B) respectively
yeah that works. 12!/(12-12)! = 12!
and then if the question is How many different unique playlists are possible? is the answer just 2P2 * 10P10?
because u gotta permute the 2 metal songs and then the rest of the 10 songs in the playlist
or would it be 2P2 * 10C10
you literally asked me the same question twice in a row
and somehow arrived at a different answer for both of them
oh oops
lol
How many playlists exist where the first song in the playlist is metal?
2!*10!
for this part it would just be 2P2 10P10? or 2P2 10C10
you realize that nPn = n!
yeah
but the proper way of writing it is to use P right?
because we're doing a permutation
doesn't make a difference really. depends on what your teacher asks for
i see
and for the last 2 questions I got this. I might as well check these practice questions since they're the last two left xD
yeah
How many playlists exist where all the songs of the same genre are grouped together?
for this i got 5! * 3! * 2! / 12!
(5!)(5!)(3!)(2!)(1!)(1!)
think of it as $2x^2+0x$
a disappointing son
yes
all divided by 12! right?
👍
no
wait a minute
yes
we're grouping them together so they all have to appear together
you would only divide by 12! if you wanted the probability
but you asked for the number
yes
shouldn't it be 5!3!2!1!1!
no
how many genres are there?
5 total
and how many songs are in each genre?
and in pop there's 5 songs, 3 from rock, 2 metal, 1 classical and 1 soundtrack
so within the first one, it should be 5P5 because the order does matter
since within each genre, each song is different from another
resulting in a different playlist no?
no
why not
how many ways can the pop songs be ordered?
5
yes
then we do the same for rock, metal classical and soundtrack
so 3! 2! 1! 1!
isn't that it?
1440
Incorrect.
why
occupied channel. move
how many permutations of a 5 element set?
120
so 1440*120 = ?
because there are 5 different genres
oh so you're saying the order of the grouping also matters
yes.
so the order of grouping of the genres and the grouping WITHIN the genres
yes.
sheeeeshhhh
haha
makes sense now
172,800
that seems like a crazy big number tho
and if we wanted to do it for just one of the genres
like pop for example
how many playlists exist if all pop songs grouped together
that would be 5! * 12! then?
sorry
5! * 7! * 2!
right?
5! from pop, 7 from rest!, 2 for number of groups
5! * 11!
why 11!
no my bad. damn i'm off today. it should be 5! (1+3+2+1+1)! = 5! 8!
there are 8 elements in the set
isn't there only 7
pop + 7 other songs
why is pop included
it is its own seperate
because we're grouping by pop
so the orders can be, pop and non pop. or Non pop and pop
yeah and there's only two ways that can happen
some non pop, pop, some non pop
either in beginning or at end
you are wrong
no but the pop has to be grouped together
it is
How many playlists exist where all of the pop songs are grouped together?
oh yeah true
5! 8!
i see
the answer to the second one is 4/25, how?
thanks man
you good?
yep
and the number of different unique playlists is just 12!
yes
and for playlists starting with metal just 2P2 * 10!
yeah
thanks man i appreciate it
alright gg
gg lol
why does this happen
wouldnt negative exponent property make y^-12 into 1/y^12
so it would be
7^3z^15
2^3(1/y^12)
why does the y^12 end up at the top
1/(ab)+ab
Find min value for a,b > 0. a+b≥1.
?
1/(1/2) = 1÷1/2 = 1×2/1 = 2
Use this reasoning.
I said 1/(1/2) not (1/1)/2
OH
oops my bad
so
f/2(1/x) = fx/2?
OH WAIT bruh i had the thing on my paper
and realized there were no addition signs on my paper ;-;
Yes.
i was so confused bcs it was supposed to be multiplying and not adding then i realized that it was multiplying
yeah my bad i just didnt notice
divide by number = multiply by reciprocal
thanks for the help0
You know what the lim x->5 g(x) is equal to, so you can substitute it into the result you wrote instead of writing g(x)
g(5) = -2.
@lilac nest can you help me?
There's just a misunderstanding so want to clear it.
1/(ab)+ab
Find min value for a,b > 0. a+b≥1.
This.
its not g(5)-2
@lilac nest im not quite sure what you mean, do i know what its equal to lol?
Read first line of your question.
This please.
Shouldn't the answer be 2?@lilac nest
Oh, NVM. Wolfram detected it.
adrea is helping me in 3 already
Ok sure
@fickle relic It's hard to read, can you crop or post a screenshot that's zoomed in a bit?
Ok
@sour dove
thank you
D
K I got D too
yep! nicely done.
your school is dumb
rip
yeah some of these answer's don't seem right
it's a polynomial > 0, there's no discontinuities
Could somebody verify if my answer makes sense for the top wuestion)
I have my solutions
@fickle relic
Oh wait...
x(x^2 + 7x + 12) > 0
x(x + 3)(x+4) > 0
so x can't equal 0, -3, or -4
yeah I got that after the fact
honestly it's kind of weird question, because D works for what they're asking for too
@eternal arrow your top solution is correct
@eternal arrow top bottom right is mostly correct, except -5 can't be an answer, since you can't have negatives in a log statement. For example log(-5) does not exist
so the answer is just 5
bottom right is correct
Thanks
@wicked rampart bro 😩 good luck. I would advise you to use your graphing calc to check your answer
I would try but im heading off to bead
How do I approximate sqrt(38) via linearization
2^2 + 3^2 + 5^2 = 38, im supposed to use the 3d version of linearization
Add both f(x) and g(x) together, (2x^2+1)+(x^2-7)
2x+x^ + 1-7
Yes you can rewrite it like that
Add them, 2x^2+x^2 =
For 6.?
additon of function and subtract of function
... the number
here the given f(x)= 2x+1 g(x)=x^-7 FIND (F-G)(X)
JUST SAY NUMBER 5, ok
So your answer for number 5 is
-x^+2x-6
incorrect
why
$$(2x+1)-(x^2-7)$$
Leslie Miller
You forgot to distribute the negative
correct
?
All good except 3
ok ty
Hi can someone help me with part (c)
arrange all five women in 5! ways
then choose 4 out of the 6 empty spaces and arrange the men in them in 6C4*4! ways
so finally 6C4*4! *5!
hello
can someone please help me with this math problem
this is my work so far
hi what does this mean when constructing a matrix
can anyone pls help me thanks
in b) why did you write l=8-w? thats from a part a). b) is different from a)
oh ok
i erased it
absolute value
absolute value
can anyone help pls thanks
@surreal radish That's modulus
(1,2), (2,1), (2,3), (3,2)
what should i do instead?
do l = area/w
why?
oh , can u pls help me
basically the difference of i and j can be either 1 or -1
oh ok, thanks
so if they were likeI i-j I= 3
then would that mean the difference can be either - 3 or 3
no
yeah kinda but thats not possible in 3x3 matrix
matrix A, element a_ij, when i and j differs by 1, a_ij = x
Can you explain this step further pls
yeah mostly just dont forget to mention the domains :)
domain of the answer ?
i-j = /-1
just checking^
the way you mentioned D:(0,8) in the first part
but it should be domain of the p(w) thing i just solved right?
what grade math is this
any
basicallyyeah thats what i meant sorry for not bieng clear
oh no dw, tysm !
ummmm to be able to separate the men you have to put them in between of the gaps formed after women are placed
yep thats true
i was just trying to be clear
sorry if i ended up being more confusing
Ah I see
No problem
Also how did you know there were 6 empty spaces?
I mean without actually visually representing the problem
well four spaces in between the women and two on either end
hi im new, any one took stats in here?
Idk
general math
Anyone?
9?
But then how "3 friends left with 4 apples"?
cuz kyle in the end doesnt eat half her apples
you start with x, kyle eats three so x-3, then splits in three so each has (x-3)/3. but then other two eat half of theirs
so you finally end up with (x-3)/3, (x-3)/6, (x-3)/6 apples
add them and equate to 4
Thanks bro you're right 👍
idk
Grade 11

its correct
no
(f-g)(x) = f(x) - g(x)
similarly
(f * g) (x) = f(x) * g(x)
same for division

?
Ty
hi
what are the column vectors of A and B? my material doesnt have good examples so i dont understand
Literally just the columns as vectors
So A has two column vectors. They are:
(3,-2,1) and (1,1,0)
I should write those as vertical vectors but I am lazy
B is (1,-1 and 3) and (-3, 1/2 and 0)
in the same format as kay ex
kaynex
Assuming that a1 and a2 are scalars;
then A's column vectors are (a1) and (a2)
But I get an odd feeling they're not
assuming the same for b, B’s column vectors are b1 and b2
which is probably wrong
a1 is [3, -2, 1] vertically
Like that for all of them
i would send the whole question but its not in english and im not good at math terms in english
"present matrices A and B using their column vectors, aka write the matrices like A = [a1 a2] and B = [b1 b2]"
smth like that
do they go on different rows then
"they"?
a1 and a2
a1 is (implied) to be the left column
a2 is the right column
"column" means a vertical line of numbers
yes i know
so a1 is (3,-2,1) and a2 is (1,1,0)
but idk how to do the [a1 a2] thing
this is what i start with
my answer should look like A = [a1 a2] and thats what confuses me
surely i can just do a1 = ... and a2 = ... but thats not what they ask is it
That's not what your answer should look like.
<@&286206848099549185> can anyone help me further please
too late now 😦
how could I find all the ordered pairs for (x,y) such that 1/x + 1/y = a/b
Hi peeps
Need help with something
Is this right? Or do I need to raise 2 to 2 first before proceeding to get the first derivative?
I think your method is perfect
But online derivative calculator shows different answer 🤔🤔
DOES ANYONE KNOW TRIG
its correct
derivative calculator also shows the same thing
it actually shows -2sin(x/2)cos(x/2) but - sinx is also right
yeah a bit
drop a perpendicular
find the length of that perpendicular and then u can find theta ig
I think a better way to approach this would be to use the sine rule
have you learnt the sine rule?
Can someone help?
For the
a) I need someone to check
b-c) I don't know what to do
My a) answer
187.5=½×20×h
187.5 ÷ 20/2 = h
187.5×2/20 = h
H= 18.75
Ratio= 30/20 = 3/2
Height for larger: 3/2 × 18.75 =28.1725
Area ½ × 30 × 28.1175 = 421.875
Help
No that I know
i just want to ask a quick question
The ratio thing right?
The bigger over the smaller, since we finding the bigger one
is 0*0=0 or indeterminate?
Area : ½× base × h
187.5=½×20×h
187.5 ÷ 20/2 = h
187.5×2/20 = h
H= 18.75
Ratio= 30/20 = 3/2
Height for larger: 3/2 × 18.75 =28.1725
Area ½ × 30 × 28.1175 = 421.875
yes
which is it
does anybody of ya'll knows how to do this? I don't know how to answer it without cos in the given. It would help a lot.
That's not the question
That I know
Is my answer correct
Or not
And the B one is so confusing
a1 iss area?
i am so confused
im looking for aaarea
btww
imma try bymyself
askin pople is confusing
byeee
ill ask again
when
im ready
i jusst tipexed it
daammit
im confused
area of eclipse is a x b x pi ?
is the pi 3.14
or the full one?
cambridge wisse
im usingg normal pi
so basically my answer is right?
the b one is confusingg
after if find the b
i just ratio it?
no no no
dont
not going on a loop
do the same thing as a
right?
find thee area, and then thee missingg thingg, and then ratio it
and then find area agaain
ok and for c?
i know the area of trapezium is a+b/2 x h
but i only know one
huh
wait wait wait wait
huh
a1?
b1?
