wait why don't i just set it firmly equal to 90
#help-0
spare abyss
nvm that doesn't work
I don't know how to incorporate the fact that i'm trying to calculate an average in my algebra
(178.03920 + x)/3 = 90
178.03920 + x = 270
x = 91.9608
I guess could someone check this?
fierce prairie
did you solve that by hand?
spare abyss
ok i'm a bit rusty on math since i haven't taken classes since high school
thank you
fierce prairie
np
spare abyss
.close
drowsy sedge
Hey everyone, I am having a bit of trouble formally proving inequalities for things like the Direct Comparison Test, I formulated this inequality, and did not really know how to prove it (well, I tried just doing algebra, but I got it being false so im doing something wrong)
Here is it in Symbolab:
drowsy sedge
well actually, nevermind I think I solve this one but in generally proving inequalities can be challenging
if anyone has a general guide that would be nice/tips/explanation for this one (although I got it, seeing someone else do it is nice)
.close
alpine sable
need help
alpine sable
by calulating the chain rule on BP
I cannot find that -1 is from where ?
can someone show the details for this step
lone heartBOT
@alpine sable Has your question been resolved?
alpine sable
<@&286206848099549185>
lone heartBOT
@alpine sable Has your question been resolved?
stiff jasper
How do I figure this out
lone heartBOT
How do I figure this out
edgy cliff
C
stiff jasper
Oops
I meant between the interval
Is it bc the y values between [1,3] have to be in between 10-18?
stiff jasper
Hm I kind of see it
So the graph can go up and down but since f(3) is positive then 17 has to be a solution??
last ether
How do I figure this out
Practicing for AB/BC lol?
edgy cliff
Not exactly
last ether
So the graph can go up and down but since f(3) is positive then 17 has to be a s...
That's because f(x) is continuous. IVT guarantees that as long f(x) is continuous on a closed interval [a,b] that f(x) outputs all values between f(a) and f(b)
edgy cliff
So the graph can go up and down but since f(3) is positive then 17 has to be a s...
if min<= 17 <=max
last ether
You're not guaranteed f(1) or f(18) are maxes or mine
edgy cliff
yes
stiff jasper
Practicing for AB/BC lol?
Sadly
last ether
It could look like this
However IVT primarily focuses on values between f(1) and f(3)
stiff jasper
That's because f(x) is continuous. IVT guarantees that as long f(x) is continuo...
Ohh ok
last ether
Stating that there exists all values between f(1) and f(3)
But that does not mean that the function is strictly confined f(1) < f(x) < f(3) for all x in (1,3)
last ether
if min<= 17 <=max
So I'd take this statement with a grain of salt
last ether
What part of it is confusing
stiff jasper
Like
stiff jasper
Stating that **there exists** all values between f(1) and f(3)
This part
Is it just that values exist but they’re not guaranteed to be between f(1) and f(3)
last ether
No IVT guarantees that as long as f(x) is continuous in [a,b], f(x) will kick out all values between f(a) and f(b) sometime within the interval
They guarantee only the outputs between f(a) and f(b)
Anything out of that, not guaranteed
stiff jasper
No IVT guarantees that as long as f(x) is continuous in [a,b], f(x) will kick ou...
Kick out?
last ether
Output
stiff jasper
Oh ok
last ether
Like if put in 2 into f(x) and it kicks out whatever f(2) is
stiff jasper
💪💪
last ether
Close the channel if you're done
stiff jasper
.close
high falcon
Hi
high falcon
I need help with this differential equation
I have tried to do it by using the partial derivative method but it doesn't work
<@&286206848099549185>
.close
sick thistle
I need help with Average Rate of Change. I’m stuck on the part where you factor the numerator. The problem is find the ARC of 9x^2-8 on the interval [1,t]
remote heron
@sick thistle so you need to factor $9t^2-9$?
ocean sealBOT
jan Niku
sick thistle
Yes I believe
I’m little confused and hoping someone can teach me finding the ARC using an interval
remote heron
can you identify anything common between the two terms
i mean youre almost there
you just need to factor
remote heron
i mean youre missing the number but yea
sick thistle
Is the number 3?
remote heron
no
sick thistle
Or is it 1 because t is 1
sick thistle
(T+1)(t-1)
ocean sealBOT
jan Niku
sick thistle
So the -9 just disappears?
remote heron
its still there
remote heron
it does
sick thistle
Then it equals 9t-9
sick thistle
9t+9
remote heron
9(t+1) yea
sick thistle
You helped me better than the teacher
remote heron
sick thistle
@remote heron can I dm you with questions?
remote heron
im probably too busy to help like that
sick thistle
Dang dang
remote heron
just killing time before bed right now
but you should ask more on the server
there are other helpers
remote heron
hm?
sick thistle
This one I’m completely lost in
remote heron
what question
remote heron
composition
remote heron
you put one function as the input of another
sick thistle
29(3t+1.1)^2-152(3t+1.1)+91
alpine sable
hello
alpine sable
does anybody know how to do these questions?
tacit arch
,rotate
ocean sealBOT
alpine sable
im not really sure if i should firstly simplify or cancel the common factors
tacit arch
Doesn't really matter too much
alpine sable
should i firstly simplify and then multiply?
like in question a should i simplify the 3 x square of 40 or take out the common factors straight away
alpine sable
yes i meant that
vale wigeon
anyway, there is no prescribed order in which to do these things
alpine sable
so i can just do any?
vale wigeon
if you can cancel out a pair of matching factors then go for it, if you can simplify a root then also go for it
edgy cliff
wait
alpine sable
alright
edgy cliff
alpine sable
oh thank you very much
edgy cliff
you're welcome
vale wigeon
!nosols
lone heartBOT
As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
alpine sable
!nosols
no its not homework
rn i have holidays
im just studying through textbook in case suprise test
when i go back to school
tacit arch
no its not homework
Doesn't matter
vale wigeon
still only hurts you to have shit like this handed out
alpine sable
how
i didnt know how to do working
now i know
bcz i was first doing common factor
instead of simplyfying
- im still gonna try to do the question by myself and do more of the similar ones
edgy cliff
it's flexible😊
analog nymph
dont even know where to begin
lone heartBOT
dont even know where to begin
frank apex
dont even know where to begin
do you know how to find expected value from pdf
analog nymph
no
frank apex
integral of xf(x) dx
wheat isle
i just drew a perpendicular line there because im not what else to do
wheat isle
does that give you x?
i dont know but i see people draw a perpendicular line to make right angles so im not sure
tacit arch
it'd help if you found the length of the vertical red line you drew
wheat isle
it'd help if you found the length of the vertical red line you drew
not sure how i would do that
wheat isle
i just drew a perpendicular line there because im not what else to do
i only have one angle which is 43.35 degrees
and the length 10.7cm wouldnt help
tacit arch
oh you're right i'm completely wrong.
wheat isle
wouldnt sinA = h/b
or do we disregard the perpendicular line because its not important here
oh sinA is just 43.35 degrees
wheat isle
10.7 / sin(...) = x / sin(...)
isnt 10.7 side c
i think im confusing myself with the labelling of the triangle
did i label it wrong
tacit arch
it really doesn't matter what variable names you give
.
tacit arch
a/sinA = b/sinB
use c/sin(C) then
wheat isle
ahhhh okay
this is what i have
$\frac{x}{\sin\left(43.45\right)}=\frac{10.7}{\sin\left(79.2\right)}$
ocean sealBOT
waterr beam
wheat isle
what should I do next?
tacit arch
do you know what sin(43.45) means?
wheat isle
xsin(43.45)?
wheat isle
do you know what sin(43.45) means?
like what its equal to?
tacit arch
right
tacit arch
if your equation were instead x/2 = 3, would you know how to solve for x?
wheat isle
Yes
tacit arch
**waterr beam**
do the same thing here
tacit arch
great
tacit arch
yes
lone heartBOT
@wheat isle Has your question been resolved?
stark lagoon
lone heartBOT
tiny robin
(the first derivative of inverse of f) of -1?
edgy cliff
tiny robin
and use 1/f'(x).
lone heartBOT
@stark lagoon Has your question been resolved?
tiny robin
wait, i guess the first one is correct.
\
solve $f^{-1}(x)$ as you did before, then use this formula.
ocean sealBOT
Z_char
edgy cliff
tiny robin
well, but you can not simply = 1/f'(x).
how can i explain this...
if you have a function, but inverse if not a function. you may have three different [f-1(x)]'(-1), right?
but follow you rule, it will be only one.
well, a simply explanation is you do not have this rule.(
edgy cliff
this's just a (f-1)(-1),instead of (f-1)'(-1)
tiny robin
like i showed before.
you got (f-1)(-1) first, then get [f-1]'(x).
you need to follow this rule.
edgy cliff
i see
tiny robin
i see<:catthumbsup:614540188747563008>
🙂
alpine sable
lone heartBOT
alpine sable
Why is it wrong to do something like:
M_a / M_b = 5/6 -> 6M_a = 5M_b
S_a / S_b = 2/3 -> 3S_a = 2S_b
Then money per student would be:
6M_a/S_a = 5M_b/S_b
Subbing the values of S_a i'd hae:
6M_a/ (2/3 S_b) = 5M_b / S_b
so the ratio between the money per student on team A to team B would be:
$9M_{a/p} = 5M_{b/p} \to \frac{M_{a/p}}{ M_{b/p}} = \frac 59 \text{ or } 5:9$
ocean sealBOT
!Kiz__
frank apex
**!Kiz\_\_**
this is true
alpine sable
S_a and S_b is the students in team A and B
M_(a/p) and M_(b/p) is the money per student for team a and b```what i did is right?
frank apex
idk about all the sentences above it but that equation transfer is right
alpine sable
Well that's not the right answer
The answer is B or something
Yeah i think it's B
alpine sable
idk about all the sentences above it but that equation transfer is right
can you go over the sentences above? I'm just curious 💀 if i'm bugging with some kinda dumb logic or not
frank apex
can't you just use the values they give you, and set the multiplier to be 1
5 dollars for A, 6 dollars for B
2.5 dollars each for A, 2 dollars each for B
2.5/2 = 5/4
alpine sable
can't you just use the values they give you, and set the multiplier to be 1
5 do...
yeah you're right
I still don't get why what i did was wrong though
frank apex
Then money per student would be:
6M_a/S_a = 5M_b/S_b
whered you get this
for the life of me I can't find the error
alpine sable
for the life of me I can't find the error
you found it i think
It should've been M_{a/p} = M_a/ S_a
M_{b/p} = M_b/ S_b
M_b = 6/5 M_a and S_a = 2/3 S_b
then divide M_{a/p} and M_{b/p}
,w (3/2)/ (6/5)
ocean sealBOT
alpine sable
@frank apex thank you for the extra pair of eyes btw!
frank apex
yw
alpine sable
.close
celest perch
lone heartBOT
lone heartBOT
@celest perch Has your question been resolved?
sand scarab
can someone please help me?
lone heartBOT
can someone please help me?
sand scarab
<@&286206848099549185>
earnest saddle
!15m
lone heartBOT
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.
sand scarab
💀
earnest saddle
what have you tried @sand scarab
sand scarab
everything i just can't seem to get the answer
earnest saddle
can you find <prq?
sand scarab
no i need help
earnest saddle
you know angle subtented at centre is twice angle subtended on circumference?
sand scarab
kinda
earnest saddle
then can you find $\anglePOQ$
sand scarab
okay thank youu
earnest saddle
!nosols
lone heartBOT
As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
hoary ether
I didn't copy!
earnest saddle
do you understand English? @hoary ether
delicate yew
No,I'm from Russia
then how you understand pro hecker quseion
mint sierra
oh
delicate yew
also translator
im getting brain freezing
hoary ether
and
earnest saddle
earnest saddle
.close
alpine sable
Need help solving this one.
Cannot use ranks and dets. Only concepts from row echelon form
alpine sable
I thought that if I will be able to prove that A^t and A has the same leading entries then I will be able to prove it. But can't think of a way without using ranks
lone heartBOT
@alpine sable Has your question been resolved?
lone heartBOT
@alpine sable Has your question been resolved?
lone heartBOT
@alpine sable Has your question been resolved?
alpine sable
HELP SOMEONE??
How can I prove that?
Let $A\in M_{n\times n}\left(\mathbb{R}\right)$ such that $Ax=\vec{0}$ has infinitely many solutions.
Do $A^{t}x=\vec{0}$ has infinitely many solutions?
Note. I can't use ranks and dets. Only things I can deduce from row echelon form. For example, I can't use the theorem $rank(A)=rank(A^t)$
ocean sealBOT
CStudent
lone heartBOT
@alpine sable Has your question been resolved?
tacit arch
<@&268886789983436800>
night geyser
.close
vale pulsar
How should I find function of g?
lone heartBOT
How should I find function of g?
echo socket
Well first of all we are gonna need g(1) to know what g is
For that you can let x = 1 yielding 2g(1) = 6 and g(1) = 3
So, simply isolate g(x) in g(x) + 3 = 4x + 2
vale pulsar
Well first of all we are gonna need g(1) to know what g is
Why did you let x=1?
To find value of g(1)?
alpine sable
lone heartBOT
ocean hawk
this channel is taken, read #❓how-to-get-help
alpine sable
<@&286206848099549185>
lone heartBOT
@alpine sable Has your question been resolved?
alpine sable
lone heartBOT
alpine sable
average day in ohio
Are you gonna help or not
wary stream
That step is not legal. Because you went from a subtraction expression to multiplication
alpine sable
That step is not legal. Because you went from a subtraction expression to multip...
I just took -1 out
Its still like( -1)
wary stream
The original problem, you factored out -1, it's separated by subtraction
wary stream
You can't make it multiplication
alpine sable
I grouped them doe
Because ai dont know how to factorize 4 terms
And for 4 terms
You group them to two
wary stream
I know how factor by grouping works
tiny robin
well, you have $x^2 - (y+3)^2$.
ocean sealBOT
Z_char
alpine sable
So whenever you group two terms in factorization
tiny robin
then use formula of the difference of square.
alpine sable
You put a + in between?
wary stream
When you do this, there's an invisible plus sign you need
When doing this, you changed the expression from subtraction to multiplication
alpine sable
You put a + in between?
?
wary stream
You put a + in between?
Yes
alpine sable
,w (x^2-y^2) (-6y-9)
ocean sealBOT
alpine sable
Nvm anyway thanks
wary stream
,w (x^2-y^2) (-6y-9)
This makes it multiplication
alpine sable
Yea
alpine sable
(x^2-y^2) (-6y-9) = (x^2-y^2) * (-6y-9)
That is x
modern sedge
next time picture please
marsh rapids
Don't make people download files. Post a picture/screenshot instead
reef tendon
sorry
lone heartBOT
modern sedge
you will have to claim new channel now
lone heartBOT
Available help channel!
alpine sable
Why do sine and cosine normally relate to an x and y value? (im new to trig)
tacit arch
Why do sine and cosine normally relate to an x and y value? (im new to trig)
what do you mean "relate"
like $y = \sin(x)$ ?
ocean sealBOT
riemann
alpine sable
yeah
alpine sable
x and y are just names for different numbers
well i get that in an algebraic sense, but i mean like in functions and graphs
tacit arch
well i get that in an algebraic sense, but i mean like in functions and graphs
sin and cosine are functions
like $y = x^2$ is a function
ocean sealBOT
riemann
alpine sable
Well yes
tacit arch
delete your message
lone heartBOT
Please read #❓how-to-get-help
tacit arch
to plot the graph of y = sin(x), plot a few points
tacit arch
radians usually
tacit arch
but degrees is fine too if you know how to convert
alpine sable
done
tacit arch
well i get that in an algebraic sense, but i mean like in functions and graphs
does that answer your question?
tacit arch
Why do sine and cosine normally relate to an x and y value? (im new to trig)
and this one?
tacit arch
btw would u understand in a coding sense
what's the actual question
alpine sable
its not really a question, its just a statement ill send that im trying to understan
So while trying to find the shortest distance between a wall(which from our position we dont know where it is), why would we use sine and cosine to determine shortest values for these.
outer lark
btw would u understand in a coding sense
are you trying to implement a distance function from one thing to another?
alpine sable
We are a player on a grid trying to "cast" rays to draw walls and give them size based on their distance.
this is called a raycaster
Im kinda making the problem a bit harder sry.
but any help is appreciated
outer lark
no, posting the original question gives context to what you want to do, and helps to avoid the xy problem :D
alpine sable
k
//makes a ray and draws it function ray(angle, i) { let x = player.x let y = player.y while (map[Math.floor(y)][Math.floor(x)] == 0) { x += Math.cos(angle)/wallSize/4 y += Math.sin(angle)/wallSize/4 } if (Math.abs(Math.round(x)-x)>Math.abs(Math.round(y)-y)) { y = Math.round(y) } else { x = Math.round(x) }
this might help if u understand, but its a function(in programming context) that draws rays.
just realized ur in the unity discord, which is literally what i was just doing and i still have it open lol
tacit arch
where's the math question
outer lark
I think I get what you mean and in answer to your original question, if you have a coordinate system, (x,y) and you have two objects in that system, you can relate x=rcos(theta) and y=rsin(theta), where r is the magnitude of distance between the two entities
modern sedge
are you confused about this part?
outer lark
in your code it looks like that is the iteration between the player position and the wall.
lone heartBOT
@alpine sable Has your question been resolved?
alpine sable
in your code it looks like that is the iteration between the player position and...
yeah
alpine sable
are you confused about this part?
this is what ive been stuck on
outer lark
have you played around with the values and checked the outcome?
alpine sable
No
outer lark
give that a go
alpine sable
k
outer lark
just comment what it was originally ;P
alpine sable
like which value should i try
alpine sable
`//makes a ray and draws it
function ray(angle, i) {
let x = player.x
le...
this is the original code
outer lark
like which value should i try
one really high one really low
just play around with it
alpine sable
No like which value here:
x += Math.cos(angle)/wallSize/4
y += Math.sin(angle)/wallSize/4
the 4?
outer lark
ye
alpine sable
x += Math.cos(angle)/wallSize/0.1
y += Math.sin(angle)/wallSize/0.1
x += Math.cos(angle)/wallSize/10
y += Math.sin(angle)/wallSize/10
Note: Making it higher has resulted in a large performance loss
Its smoother(walls are) but laggier
outer lark
expected
outer lark
x += Math.cos(angle)/wallSize/0.1
y += Math.sin(angle)/wallSize/0.1
so these are bigger increments of x and y, (less rays in the pov)
outer lark
opposite for the secondary screeny
alpine sable
opposite for the secondary screeny
what do u mean
outer lark
well its incrementing at a very low number so there will be lots of instances I suppose? like going from 0->1 in gaps of 0.5 only takes 2 iterations, but going from 0->1 in gaps of 0.1 takes 10
alpine sable
i see
btw can we go back to the original question,which was why the x and y correspond to cosine and sine
outer lark
oh I answered it earlier in general terms
outer lark
I think I get what you mean and in answer to your original question, if you have...
here
alpine sable
I think I get what you mean and in answer to your original question, if you have...
saw but kinda didnt understand
outer lark
hmmm
alpine sable
im kinda new to trig and im self teaching
outer lark
if you go through the khan academy trig section im sure it would help
alpine sable
if you go through the khan academy trig section im sure it would help
thats where i go to where im stuck
love it btw
but the vids are rly old and quality is low, so a cirlce looks like a hexagon
outer lark
essentially the distance (between two objects) is the 'hypotenuse' and the components of x and y (of that distance) are h x cos(theta) and h x sin(theta) respectively
alpine sable
essentially the distance (between two objects) is the 'hypotenuse' and the compo...
is there any graphical representation i can see
wait
"are h x cos(theta) and h x sin(theta) respectively "
what do u mean
"hxcos"
outer lark
h * cos(theta)
outer lark
cos(theta) = adj/hypot
of a right angled triangle
tbh just go through the khan section
alpine sable
k
outer lark
it will explain all this
alpine sable
sry for kinda wasting any time
outer lark
all good
alpine sable
k
alpine sable
u do unity right?
outer lark
I don't typically use game engines for graphics
alpine sable
i literally was working on a chess game in unity lol
alpine sable
I don't typically use game engines for graphics
oh
i just saw u in the mutual server
outer lark
yeah ill occasionally ask questions in those servers just to get help as they know the required math very well
alpine sable
yeah ill occasionally ask questions in those servers just to get help as they kn...
kk
well ig thats it
thnx
cya
.close
balmy geyser
hello
tacit arch
evaluate it inside out
lone heartBOT
@balmy geyser Has your question been resolved?
balmy geyser
uhh
i got it the first one
but now idk wtf im doing w this one
okay i looked at the circle thign and got pi over three
but i had to like
look at the Y coordinate from the sin
and then match it witht he X for the cos
why is that
tacit arch
why is that
why is what?
balmy geyser
i solved it by thus
but u see 1/2 is in the Y coordinate for the first match
but the final its in the X
why is that
balmy geyser
.reopen
lone heartBOT
✅
balmy geyser
my bad gang
deep moon
Can you tell me what's your problem again?
lone heartBOT
@balmy geyser Has your question been resolved?
balmy geyser
why is that
oh wait actually it was this too
lik
why do i have to bounce between X and Y
is it cause of some rules with Sine and Cosine
tacit arch
why do i have to bounce between X and Y
what do you mean "bounce" ?
do you know what $\sin^\inv$ notation means?
ocean sealBOT
riemann
tacit arch
in words
tacit arch
like i started there right
what is "there"
tacit arch
its written on the screen
what's "it"
tacit arch
7/9?
tacit arch
where does 7/9 come in?
balmy geyser
thats a separate questions
i had to move on since i aint rlly get an answer for the other one
tacit arch
right. you answered this to "what's your problem"
tacit arch
what question does this image pertain to then?
balmy geyser
this one
tacit arch
do you know what sin(pi/6) is?
tacit arch
you labeled the angle
analog nymph
we are finding r(x), the black line on the diagram. but why is y0 = x0?
alpine sable
the diagonal line is y=x
tacit arch
what does the line y=x has to do with r(x) tho
one end of r is on the line y=x
tacit arch
yes
lone heartBOT
Available help channel!
marble moth
Hi I need help
lone heartBOT
Hi I need help
marble moth
Can someone here please explain to me partial ordered sets in simple terms? I'm too stupid to figure it out on wikipedia
If I understand somewhat... a partial ordered set is a relational set that comes about by a relational operation applied to a set
so if we apply less than 1 to a set of numbers {1, 2, 3}
the partial ordered set would be {NULLSET}?
or if we apply less than 2 to the same set we get
{{1, 2}}
placid zinc
We're not talking about the same thing. Have a reference for this?
placid zinc
Okay. So yeah you seem to want some kind of operation which takes a set and returns one. That's not what a poset is
marble moth
What's a poset? 🙂
placid zinc
A poset is a set that is equipped with a "less than" operation
{1,2,3} can be made into a poset by saying 1 < 2, and 2 < 3
Or even by saying 3 < 2, 2 < 1 if you want
marble moth
Okay, so it's a set where the elements are ordered by a relation?
How is 3 < 2 or 2 < 1?
placid zinc
You can order your elements any way you want. There's no need to stick to a rule if you don't want to
Right. Now, we're talking about a partially ordered set. So the order operation can also be like "idunno" for some elements
We can say that 2 < 1, and 3 is not greater than, less than, or equal to 2 and 1.
That's a partial order on {1,2,3}
vale sapphire
that's for a different, arbitrary definition of < that differs from the one you are used to, to be clear
placid zinc
Because I said it is, haha
marble moth
Oh okay
placid zinc
For my version of <
marble moth
Oh, so the relational operation is defined by the creator of the set?
And that was just an example?
marble moth
So is the set of all whole numbers ({1, 2, 3, ..., infinity) a partially ordered set ordered by < (being our conventional definition of less-than)?
placid zinc
Yep! Your usual idea of < is a partial order
marble moth
Okay great, I really appreciate it.
placid zinc
It's also a strict order, because it can order every element
marble moth
I'm about to start college and I want to major in math and physics... seems I got a lot to learn lol
But this Discord seems like it'll be very helpful
placid zinc
Oh yeah this place is great. Studying ahead?
marble moth
Yeah I start in August, I haven't been in school in over 4+ years. I'm 21 now
Kind of worrying considering I only know basic trigonometry calculus algebra but I want to learn more.
I think math is a great topic to increase our abilities intellectually so I want to study it more.
@placid zinc so a total ordered set is the requirement that all members of the set order satisfy the relational operation? While a partial order is only that some do?
placid zinc
Perfect.
vale sapphire
It's also a strict order, because it can order every element
*total
marble moth
@placid zinc thank you for real. I'm grateful for your quick help 🙂
placid zinc
Np. Feel free to ask if you have anything else!
marble moth
@placid zinc will do 😉
Once again really appreciate it, this place seems like a great place to be on while I'm studying
I'm a complete noob lol
I took my math placement and got like a 50%
had no idea some of the stuff it was asking me...
like basic simplification of polynomials
lone heartBOT
Available help channel!
upper bridge
I do not understand any 8th grade math I have a 57 in the class I need a 70
lone heartBOT
@upper bridge Has your question been resolved?
thick egret
i need a refresher in what the signs mean
lone heartBOT
i need a refresher in what the signs mean
@thick egret Has your question been resolved?
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.close
coral prairie
lone heartBOT
gray isle
you mean h?
gray isle
missing a +6
coral prairie
missing a +6
wait wdym
gray isle
gray isle
what is 6 when
x= i don't even care what this is
the value of x has no impact on 6
6 is 6
coral prairie
oh so id just add a 6 in there
gray isle
same principle as you'd apply when finding
y = x + 6
when x=0
6 is 6
are you required to do this using first principles/limit definition?
are you not allowed to use more efficient stuff like power rule?
coral prairie
are you required to do this using first principles/limit definition?
are you not...
i think we learn the power rule next unit
so we just use the first way rn
coral prairie
ah yea i remember
haha
does this mean if i simify this
the bottom one
ill be one setp closer
gray isle
yeh
lone heartBOT
That’s the problem
winter elbow
That’s what I have so far, but it’ll leave me with 300x which is not good
I need the x’s to cancel and I’m 3 into these already and they aren’t, unless I’m dramatically screwing up
tight locust
Lets start directly from the definition
Distance(P,F1) + Distance(P,F2) = 10
sqrt((x+3)² + y²) + sqrt((x-3)²+y²) = 10
winter elbow
Yep yep
tight locust
sqrt(x²+6x+9+y²) + sqrt(x²-6x+9+y²) = 10
Square both sides:
(x²+6x+9+y²) + 2sqrt(x²+6x+9+y²)sqrt(x²-6x+9+y²) + (x²-6x+9+y²) = 100
winter elbow
Oh you’re going that way
Okay
Yeah it’s that that’s such a long term
My teacher moves it to one side and then squares so it removes one of the radicals, and then moves the remaining terms around and does it again to clear the last radical
tight locust
Square both sides:
2x²+18+2y² + 2sqrt(x²+6x+9+y²)sqrt(x²-6x+9+y²) = 100
100 - 2x² - 18 - 2y² = 2sqrt(x²+6x+9+y²)sqrt(x²-6x+9+y²)
50 - x² - 9 - y² = sqrt(x²+6x+9+y²)sqrt(x²-6x+9+y²)
Square both sides:
(50-x²-9-y²)² = (x²+6x+9+y²)(x²-6x+9+y²)
Yeah I see what you mean
This does work but its a lot of steps
All the other terms cancel and you're left with the form of an ellipse
winter elbow
Yeah, I feel like I’m so close on the other way and then I just run into the regular non exponent x terms not properly canceling for some reason
tight locust
Ok I see what you're doing that's actually a much easier way
Shouldn't you have 12x
On the left?
winter elbow
Oooo where’s that
tight locust
12x = 100 - 20sqrt((x-3)²+y²)
winter elbow
Oh my god yes
tight locust
6+6=?
winter elbow
Yeah wow
Yeah that solves it
Wow you’re the best, I must have made that same mistake in the same area
I can’t thank you enough !
amber epoch
How do you prove that the line passing through ax+by+c=0 and lx+my+n=0, (where, -a/b ,not equal to -l/m) can be written as (ax+by+c)+k(lx+my+n)=0
wheat bear
Were I can study for a quadratic math test?
lone heartBOT
@amber epoch Has your question been resolved?
lone heartBOT
@amber epoch Has your question been resolved?
median oar
How do you prove that the line passing through ax+by+c=0 and lx+my+n=0, (where, ...
A line that passes through another line is the same line
What do you mean it “passes through” ax+by+c= 0
lone heartBOT
@amber epoch Has your question been resolved?
tough gull
Stuck on how to find x, I'm trying to find a proportionality ratio but cant seem to get one
tough gull
got to this but this ratio wont work
I dont think
I could be wrong
its def wrong because it would make x 5.3 which is def incorrect
lone heartBOT
@tough gull Has your question been resolved?
lone heartBOT
lone heartBOT
Available help channel!
sturdy crow
We weren't taught differential equations of higher order derivatives. Is there an easier way to match the quations like c and e without solving for the general form and then matching?
sturdy crow
Also, I figured out that a is very close in form to III when solved, but my solution had an absolute value sign around the x that would make it not match. Did I do something wrong in my work or is this correct?
lone heartBOT
@sturdy crow Has your question been resolved?
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.close
polar trout
lone heartBOT
polar trout
why can you write the sum of 3 raised to n-1 over 4^n+1 from n=1 to infinity as the sum of 3^n over 3x4x4^n from n=1 to infinity
tacit arch
,tex .exp rules
ocean sealBOT
riemann
polar trout
wat
left trellis
tacit arch
**riemann**
use row 1 with a=3 and x+y = n-1
true sandal
lone heartBOT
molten pivot
well it's not a continuous function over the reals, but you can take the discrete limit if you'd like
true sandal
do you know squeeze theorem?
yeah
tacit arch
try using squeeze theorem
true sandal
,w graph (-1)^x/x
ocean sealBOT
true sandal
,w verify (-1)^x/x > -1/x
ocean sealBOT
true sandal
i guess it is zero
true sandal
well it's not a continuous function over the reals, but you can take the discret...
is -1/x < (-1)^x/x
molten pivot
<=
true sandal
.close
burnt dust
Hi, I’m quite new to completing the square method. I am unsure of how the answer sheet got 49/8 and then 49/16. Please kindly explain that part
burnt dust
Where did you get the -2, and why did you * the bottom part of the fraction only? Also how did you get 80/16
noble notch
Hi, I’m quite new to completing the square method. I am unsure of how the answer...
this solution
burnt dust
But why 49/8? And how did they get 49/8?
noble notch
Mr gamer explained it
but 49/8
is just combining terms together
so in the solutio
nin line 5
they have -2*(9/16) -5
and by combining those terms
you will get -49/8
burnt dust
Oh
burnt dust
they have -2*(9/16) -5
Can u breakdown this?
noble notch
Sure
ok
so
they first multiply -2 with 9/16
which becomes -9/8
and then to subtract 5
it needs to be put to the same denominator
so -5 can be rewritten as -40/8
because dividing -40 by 8 gives -5
and thenn they just combine the fractions
(-9+40)/8
burnt dust
For the -40/8 is there a way to get it or is it just by knowledge
burnt dust
Yup
noble notch
yeh
so because 5 is a whole number
who can just multiply and divide by 8 at the same time
because 40/8 is the same as 5
basically look at the denominator u need
and multiply and divide the number by that
burnt dust
which becomes -9/8
Right so because the first fraction is this , then u have to make the denominator the same so you it becomes 5/1* 8
noble notch
not quite
you cant change the number
because then it would become a different question
so you need to multiply by 8/8
which wouldnt change the question as 8/8 is 1
but 5/1 times 8/8
becaomes 40/8
which is what you need to combine the fractions
burnt dust
Haha im confused
noble notch
by which part
burnt dust
Right so because the first fraction is this , then u have to make the denominato...
This
burnt dust
Oh u cannot * the top?
noble notch
depending on which one u intended to multiply
noble notch
Oh u cannot * the top?
ye u can
sorry
just cant rlly tell with text
but
either way
it doesnt matter
multiplying top gives you 40/1
and bottom gives you 5/8
neither of those equal 5
so you cant do it
burnt dust
Ok
noble notch
so to get what u need
you need to multiply top and bottom
by 8
i.e multiply by 8/8
burnt dust
I can’t really visualise it
burnt dust
Right
noble notch
multiplying by 8/8 doesnt actually change the number
but it allows you to combine the fractions
burnt dust
Yes correct i understand it now
burnt dust
But now how did you get 9/8?
Is it okay if you do the entire question step by step and maybe explain along the way
burnt dust
Right
noble notch
2x^2 -3x-5 =0
so for completing square method
you get the middle term
which is -3x
and take the -3
divide by two and square it
so (-3/2)^2
burnt dust
Yup
noble notch
which becomes 9/4
but you cant just add a number in
so you have to subtract it aswell
so you get
2x^2 -3x +9/4 -5 -9/4
burnt dust
Correct
noble notch
oh wait
forgot a step
ok
so first
u need to dtake out two
2x^2-3x-5=0
2( x^2 -3x/2) -5 = 0
then you can complete the square
onyx creek
wheres the Q
noble notch
2(x^2 -3x/2 +9/16-9/16) -5 = 0
noble notch
Hi, I’m quite new to completing the square method. I am unsure of how the answer...
.
now you can factor
2[(x-3/4)^2 -(-3/4)^2] -5 = 0
from here its what I explained earlier
just combining the terms together
lone heartBOT
@burnt dust Has your question been resolved?
burnt dust
Sorry just trying to do the question with what you have given me give me a moment