close but no
#help-0
zenith compass
So a x (a-b)/b?
glad sluice
still no
let's go step by step
first find this
in 1 part, how much is wine and how much is water
zenith compass
(a-b)/a?
zenith compass
Ok
glad sluice
so in 1 part, (a-b)/a is wine
zenith compass
So the amount of wine in a gallon is a-b
Umm so the amount of b gallons here is b(a-b)/a?
glad sluice
yes
and we remove b(a-b)/a from a-b (in the initial "a" parts)
so final volume of wine is a-b-(b(a-b)/a)
zenith compass
So $a-b-(b(a-b)/a)=a-b-b-b^2/a$
ocean sealBOT
Trenton
ocean sealBOT
Trenton
zenith compass
Did I do sth wrong?
glad sluice
Then we divide it by a?
why?
glad sluice
take (a-b) common
glad sluice
lone heartBOT
@zenith compass Has your question been resolved?
lone heartBOT
@zenith compass Has your question been resolved?
zenith compass
.close
paper coral
when doing partial fractions
lone heartBOT
when doing partial fractions
paper coral
for square root
will it be a or waht
let me give an exmaple
is this correct?
or square x has something to a
tacit arch
you can't use partial fractions here
In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.
,w integral 1/(sqrt(x) (x^2 - 1))
ocean sealBOT
tacit arch
aren't you supposed to solve the integral yourself?
paper coral
ye but the only thing i can think of is partial fractions
is there something else i can do?
tacit arch
i don't know how to get the solution, so i'd try trig substitution first, then maybe integration by parts
paper coral
trig sub hmm
tacit arch
there are 6, hopefully 1 of them works
steep prism
tacit arch
https://media.discordapp.net/attachments/910926707505115189/941323068016562186/S...
this channel's occupied. read #❓how-to-get-help
Is this your recurrence
$c_n = 12 \cdot 11^{n-1} - c_{n-1}$, $c_2 = 12 \cdot 11 = 132$ ?
ocean sealBOT
riemann
tacit arch
can you write down the first 5 terms in the sequence ?
ocean sealBOT
riemann
proud oriole
wait, the base case is C2
ocean sealBOT
riemann
proud oriole
n >= 2
tacit arch
**riemann**
then you can do this
proud oriole
do what?
tacit arch
**riemann**
.
tacit arch
**riemann**
what is this equation when n=2 here
proud oriole
c2 = 12*11
tacit arch
nope
proud oriole
why
tacit arch
plug in n =2
proud oriole
right?
ocean sealBOT
riemann
tacit arch
.
tacit arch
**riemann**
.
proud oriole
My question says don't use C1 and C0
ocean sealBOT
riemann
tacit arch
no
just ask your question more clearly and provide necessary context
you're not allowed to?
proud oriole
no
alpine sable
I have found that A = 4/3 and r = 3 by doing 108 = ar^4 and 2916 = ar^7
alpine sable
I have tried plugging in as Sn = (4/3(1-3^7))/(1-3)
But it doesnt seem to be the answer
what am I doing incorrectly?
pale kestrel
You have gotten the indexes confused probably
a4 = 108 = ar^4
what exactly is this a?
figure that out
alpine sable
I did it by doing 2916/108 = r^3
which is 27 = r^3
and r is 3
and plugging that into the function
108 = a (3)^4
and got a as 4/3
pale kestrel
But what is a
near lagoon
I think $a_k = a_1 r^{k-1}$, for $k \geq 1$
ocean sealBOT
Mat
alpine sable
The first number that comes in the sequence?
pale kestrel
what is a1 equal to
near lagoon
So you should set 108 = a1 r^3, for instance
pale kestrel
Its not a matter of which formulas is correct or whatever
its being clear what your numbers/variables mean
alpine sable
a1 should be the first number in the sequence
pale kestrel
you decided an = ar^n
it appears
so what is a1
you figured out a and figured out r
You probably plugged a1 incorrectly into that formula
It's not 4/3
alpine sable
Then im not sure how to find a1
near lagoon
Try out $$108 = a_1 r^3$$ $$ 2916 = a_1 r^6$$ @alpine sable
ocean sealBOT
Mat
pale kestrel
bruh
the issue isnt they picked the wrong formula
They need to figure out what is wrong with the steps they tried
Which is they dont seem to be clear on what a1 should be for what theyve written
near lagoon
Their formula indeed is not wrong, they just need to use it accordingly
alpine sable
For a4 i put 108 = a (r^4) and for a7 i put 2916 = a (r^7)
pale kestrel
so what is a1 then?
pale kestrel
in terms of a and r of course
exactly
a1 = ar
and you plugged in the wrong a1 earlier
you thought a1 = a which is incorrect
a would be the 0th term for what you have written
alpine sable
then what step do i have to take to find a1?
alpine sable
3*4/3?
pale kestrel
I have found that A = 4/3 and r = 3 by doing 108 = a*r^4 and 2916 = a*r^7
look at the formula
It requires you to plug in a1
so plug in the correct a1
which is ar
raven spade
My question is simple
lone heartBOT
My question is simple
karmic rapids
what is your question?
raven spade
how -1< x < 1 go to 0 < x^2 < 1?
and then 2 < 2+x^2 < 3
That's wrong right?
I mean (-1)^2 = 1
grave matrix
how -1< x < 1 go to 0 < x^2 < 1?
I don't believe your second inequality is right anyway
raven spade
I don't get it?
grave matrix
0 ≤ x < 1, not -as you've written- 0<x<1
grave matrix
Note the bar under the <
grave matrix
Right
raven spade
It's a parabola
grave matrix
Between x = -1 and x = 1
raven spade
Yeah
grave matrix
Minimum of the parabola is...?
grave matrix
Yh
raven spade
so
if I always square I get 0 <= x^2 <= a^2
consider a is the other number
sorry fixed it
grave matrix
nps
grave matrix
Also, I think for comparison properties, you should use weak inequalities
raven spade
weak inequalities?
grave matrix
So start with -1 <= x <= 1 and continue
grave matrix
I have a major tomorrow
gl
raven spade
oh wait
In this solve he used strong
although the choses are in weak inequalities
.close
hasty gale
lone heartBOT
hasty gale
I understand the top equation
I would just like to know
what is linearization of f
and why we need to add our equation of tangent plane to f(a,b)
ocean sealBOT
riemann
tacit arch
the plane without $f(a, b)$ is a bad approximation to $f(x, y)$ at $(a, b)$
ocean sealBOT
riemann
lone heartBOT
@hasty gale Has your question been resolved?
lapis nest
does the set of solutions make sense
ocean sluice
Can i get help here
lone heartBOT
Can i get help here
void niche
What work have you done so far
tacit arch
use implicit differentiation again
void niche
Show work for us to be able to help
ocean sluice
$2(x^{2}+y^{2})^{2} = 25(x^{2} - y^{2})\
4(x^{2}+y^{2})(2x + 2y\frac{dy}{dx}) = 25(2x - 2y\frac{dy}{dx})$
ocean sealBOT
Nix Valentine
ocean sluice
$8x^{3}+8xy^{2} + (8x^{2}y+8y^{3})\frac{dy}{dx} = 50x - 50y\frac{dy}{dx}$
ocean sealBOT
Nix Valentine
ocean sluice
$(8x^{2}y+8y^{3} + 50y)\frac{dy}{dx} = 50x - 8x^{3} - 8xy^{2}$
ocean sealBOT
Nix Valentine
ocean sluice
$\frac{dy}{dx} = \frac{50x - 8x^{3} - 8xy^{2}}{8x^{2}y+8y^{3} + 50y}$
ocean sealBOT
Nix Valentine
ocean sluice
,calc (50(3) - 8(3)^3 - 8(3)(-1)^2)/(8((3)^2)(-1) + 8(-1)^3 + 50(-1))
ocean sealBOT
Result:
0.69230769230769
Nix Valentine
tacit arch
What did you enter that said it was wrong
ocean sluice
$y + 1 = \frac{9}{13}x - \frac{27}{13}$
ocean sealBOT
Nix Valentine
ocean sluice
$y = \frac{9}{13}x - \frac{14}{13}$
ocean sealBOT
Nix Valentine
ocean sluice
so I entered -14/13
tacit arch
How did you get the second equation?
ocean sluice
tacit arch
$y = \frac{9}{13}x - \frac{14}{13}$
This one
ocean sluice
i subtracted 1 from both sides
tacit arch
,calc -27/13-1
ocean sealBOT
Result:
-3.0769230769231
,calc -40/13
ocean sealBOT
Result:
-3.0769230769231
Stop ignoring minus signs
ocean sluice
-40/13 is it?
tacit arch
Minus signs have feelings
dry echo
What does "diverges" mean?
lone heartBOT
What does "diverges" mean?
pale kestrel
not converge
vague coral
What does "diverges" mean?
in term of limit, it means that it goes to infinity, or doesn't approach a value
dry echo
in term of limit, it means that it goes to infinity, or doesn't approach a value
So
lim as x approach infinity of cos(x)
does not approach a value
it diverges?
Thanks!
.close
strange quartz
Hey, can I get help with this question please, Topic is Integration by Substitution.
I've got up to the final integration in terms of du, and am unsure of where to procceed from there, I can explain my working if neccacary,
Thanks
strange quartz
Hyperbolic arctan/ PFD
how would I approach that
because I don't think it's covered in my syllabus
bright hedge
Partial fraction decomp?
strange quartz
thats the next topic, but I'm not allowed to use that here
if i gave you my simplified version
sorry one second
bright hedge
Well you get a 1/(4x^2 - 1)
strange quartz
Well you get a 1/(4x^2 - 1)
yes
bright hedge
I mean i guess you could do like a 2x = sec
vague coral
u = sqrt(x)
u² = x
du = dx/2u
no need for partial frac
strange quartz
2/ 4x^2 - 1
strange quartz
u = sqrt(x)
u² = x
du = dx/2u
no need for partial frac
how did you get du = dx/2u?
strange quartz
oh okay
bright hedge
He was thinking I was talking abt PFD with the sqrt
vague coral
how did you get du = dx/2u?
derivative of sqrt(x)
strange quartz
derivative of sqrt(x)
1/2(x)^-1/2?
vague coral
derivative of sqrt is 1/2sqrt(x)
strange quartz
derivative of sqrt is 1/2sqrt(x)
oh
bright hedge
Lol
strange quartz
i thoguht the power decreases too
strange quartz
ah, I'm not good at simplifying it while typing xd
vague coral
It is 1/(2sqrt(x))
im too lazy to write parenthesis dude
bright hedge
Anyways teach verified how to do 1/(4x^2 -1) with no PFD or hyperbolic arctan
Or find some other cool way to do this
vague coral
when you let u = sqrt(x), you have 2u/(u(4u²-1))
strange quartz
strange quartz
when you let u = sqrt(x), you have 2u/(u(4u²-1))
yes
strange quartz
when you let u = sqrt(x), you have 2u/(u(4u²-1))
i cancelled the u on top and bottom after
vague coral
ye
vague coral
well partial frac I guess
vague coral
4u² -1 = (2u)²-1² = (2u-1)(2u+1)
vague coral
so i need to find the numerators of the partial fractions now
dont tell me you dont know how to do partial frac
vague coral
$\frac{1}{(2u-1)(2u+1)} = \frac{A}{2u-1} + \frac{B}{2u+1}$
ocean sealBOT
Herels
vague coral
,wolf \frac{-1/2}{2x-1}+\frac{1/2}{2x+1}
ocean sealBOT
strange quartz
hm
vague coral
I just want the result but whatever
strange quartz
interesting formatting
vague coral
recheck your calculations
strange quartz
will do
ah yes
I
swapped the wrong place
makes sense
A = 1/2, B = -1/2
yup
so the final is
vague coral
now integrate and dont forget that u = sqrt(x)
strange quartz
1/2(2u-1) - 1/2(2u+1)
vague coral
im too lazy to verify, just use wolframalpha
vague coral
np
strange quartz
.close
tawdry jolt
I'm quite stuck when writing a negated universal statement symbolically
tawdry jolt
No vegetarians eat meat.
Should I define vegetarians and "eats meat" as separate variables?
I got this:
Let V = The set of all vegetarians
Let M = “eats meat”
∀ x ∈ V, ~M(x)
But I'm not very confident.
mint shoal
no
formal cloud
yes
tawdry jolt
What?
mint shoal
its a yes and no right?
tawdry jolt
No
formal cloud
yes
tawdry jolt
No it's not
mint shoal
no ur question
tawdry jolt
I'm asking how to write something symbolically
mint shoal
ye
formal cloud
donyt overcomplicate
tawdry jolt
So how should I do it then?
formal cloud
this html right?
tawdry jolt
I'm actually trying to do this whole syllogism:
No vegetarians eat meat.
All vegans are vegetarian.
∴ No vegans eat meat.
No
Discrete math
lone heartBOT
@tawdry jolt Has your question been resolved?
tawdry jolt
I tried and got this:
Let P = “vegetarians”
Let Q = “vegans”
Let M = “does not eat meat”
P → M
Q → P
∴ Q → M
But what type of argument is that?
pulsar aspen
I tried and got this:
```
Let P = “vegetarians”
Let Q = “vegans”
Let M = “does n...
That's not a valid argument.
pulsar aspen
Yes, it's transitive property of implication.
In Curry Howard correspondence, it corresponds to function composition.
lapis forge
Had a controversial question on a quiz. Plane starts at 0m/s and ends at 100 m/s. The distance is 2.5 x 10^3 m. Sorry had this question on a different help chat but it got closed.
limpid flame
What is it asking for?
lapis forge
Sorry, average lowest acceleration
blissful whale
lowest acceleration?
bleak ridge
Is it a calc class?
lapis forge
Physics
bleak ridge
Kinematic formulas?
lapis forge
Yeah
bleak ridge
Which one would you use
lapis forge
If you use kinematics u get 2 but if u do 0.04 * 2.5 x 10^3 u get 100
blissful whale
distance = acceleration * time²/2
and
velocity = acceleration * time
bleak ridge
They prob said that to make sure people were actually solving it
Not just making a guess with a little bit of evidence from the choices
lapis forge
So the answer is 2?
lapis forge
Yeah
blissful whale
By rearranging the equations you should get: distance = 1/2 velocity * time
and time = 2 distance / velocity. Then plug in secodn equation and get
velocity = 2 acceleration * distance / velocity
acceleration = velocity² / (2 distance)
lone heartBOT
@lapis forge Has your question been resolved?
blissful whale
,wolf (100m/s)²/(2 * 2.5km)
ocean sealBOT
nimble frost
i have a double integral, main function is y^{1/2}cos(y)dydx
with x from 0 to 1 and y from x^2 to 1
nimble frost
I am trying to reverse the order of the bounds
to my understanding the upper bounds will both still be 1
but x's lower bound would be y^1/2 i think?
and y's would be 0??
this is what i have so far
blissful whale
$$\int_0^1 dx \int_ {x^2}^1 dy \sqrt{y} \cos(y)$$
ocean sealBOT
M8732
glass lichen
I am trying to reverse the order of the bounds
Have you drawn the region...?
nimble frost
im doing that in desmos atm
blissful whale
You must reverse integral signs if you revers oerder of bounds.
nimble frost
ok i at least have the order of my bounds correct now i think?
to my understanding the region would be between the four lines
glass lichen
the 4 curves defining the region are the bounds
blissful whale
You start with (x,y) such that y>x². Then sqrt(y)>x.
glass lichen
Not the integrand
nimble frost
ah yeah because its sideways i see what you mean
glass lichen
glass lichen
it'd be the purply area
nimble frost
because the original function doesnt impact the region of integration>
i think thats what im getting hung up on
glass lichen
The integrand has nothing to do with the region, no
nimble frost
this is starting to look better i think
looking it over in desmos it seems correct?
glass lichen
yes
nimble frost
thank yall for helping explain it to me
for some reason i really struggle with bounds so ty
mellow sphinx
looking it over in desmos it seems correct?
Yeah it does, nice work!
lone heartBOT
lone heartBOT
Available help channel!
exotic moth
Hello can someone check my answers if it's correct thank youuu
tacit arch
Hello can someone check my answers if it's correct thank youuu
Can't check your work without the questions
lone heartBOT
@exotic moth Has your question been resolved?
exotic moth
Can't check your work without the questions
Oh yeah I forgot it wait
lone heartBOT
Oh yeah I forgot it wait
exotic moth
Can't check your work without the questions
-
The scores on a Physics long test follow a normal distribution with a mean of 48 and a standard deviation of 3. Find the probability that a randomly selected score is above 50. -
The scores on a History test follow a normal distribution with a mean of 48 and a standard deviation of 4. Find the probability that a score randomly selected is below 45. -
What is the probability that Marco spends at least 240 min on online gaming if his mean time spent on it is 270 min with a standard deviation time of 15 min? - The mean walking time of Louie to school is 20 minutes with a standard deviation of 2.5 min. What is the probability that he walks to school in not more than 18 min?
severe sluice
Hello can someone check my answers if it's correct thank youuu
why are you rounding to 1 decimal place?
exotic moth
why are you rounding to 1 decimal place?
What no.?
lone heartBOT
@exotic moth Has your question been resolved?
smoky gale
If i have a circle inscribed in a equilateral triangle and i know the sides of triangle. Can i find how the sides are divided by the touch points of circle and triangle?
lone heartBOT
If i have a circle inscribed in a equilateral triangle and i know the sides of t...
@smoky gale Has your question been resolved?
severe sluice
If i have a circle inscribed in a equilateral triangle and i know the sides of t...
hint: connect all the vertices of the triangle to the circle's center.
sterile idol
If i have a circle inscribed in a equilateral triangle and i know the sides of t...
The sides would be tangents to the circle
lone heartBOT
lone heartBOT
Available help channel!
vale pulsar
b+a = 5
a-c = 3
bc - ac + c^2 - ab = ?
lone heartBOT
b+a = 5
a-c = 3
bc - ac + c^2 - ab = ?
stoic hound
Note that squaring the second equation gives you a^2-2ac+c^2 = 9, and multiplying the two given equations gives you a^2-ac+ab-bc=15. Can you get to the desired expression using these two new pieces of information?
lone heartBOT
@vale pulsar Has your question been resolved?
vale pulsar
It's so easy but I got stuck in it.
raven rover
Do you have work for us to look at?
covert agate
It's so easy but I got stuck in it.
the hint you were provided leads you one step away from the answer
vale pulsar
the hint you were provided leads you one step away from the answer
I'm really confused!
I don't know how should I use a^2-ac+ab-bc=15 and a^2-2ac+c^2 = 9
covert agate
$\begin{cases}
b + a = 5 \
a - c = 3
\end{cases}$
ocean sealBOT
Chromium
covert agate
correct?
vale pulsar
Yup
covert agate
you were suggested to square both equations
$\begin{cases}
(b + a)^2 = 25 \
(a - c)^2 = 9
\end{cases}$
ocean sealBOT
Chromium
vale pulsar
Yessss.
I could do it.
It should be -6, right?
lone heartBOT
ashen vale
How??
raven rover
Do you have work?
ashen vale
I stuck at 2c-4a-30
lone heartBOT
Available help channel!
ashen vale
How could Tanjiha find the answer lol
lone heartBOT
How could Tanjiha find the answer lol
raven rover
?
ashen vale
?
hasty elk
?
vale pulsar
How could Tanjiha find the answer lol
(a-c)^2 = a^2 - 2ac + c^2 = 9
(a+b) (a-c) = a^2 - ac + ab - bc = 15
a^2 - ac + ab - bc = a^2 - 2ac + c^2 + 6
Now you can calculate bc - ac + c^2 - ab yourself!
ashen vale
Okay
swift basalt
please someone help me
lone heartBOT
please someone help me
swift basalt
please help me <@&286206848099549185>
wide raven
dude 15 mins
raven rover
swift basalt
dude 15 mins
please help me i only pinged once not spam
wide raven
please help me i only pinged once not spam
you have to do that after 15 mins
covert agate
please help me i only pinged once not spam
15 minutes before pinging.
that's the server rules
swift basalt
you have to do that after 15 mins
so i need to wait 15 minutes before u answer my question?
covert agate
so i need to wait 15 minutes before u answer my question?
15 minutes
before pinging...
wide raven
so i need to wait 15 minutes before u answer my question?
not this time, but next time for sure
see T can take values 0, 1, 2, 3
you need to find how many possibilities for each
and then plot
lone heartBOT
@swift basalt Has your question been resolved?
tacit arch
<@&286206848099549185>
You're getting help, stop pinging
swift basalt
You're getting help, stop pinging
im not getting any help
swift basalt
not this time, but next time for sure
can you help me
GELP EME
HELP ME
HELP ME
PLSSSS
HELP
<@&286206848099549185> if anyone answers my question i will pay $10
zenith compass
<@&286206848099549185> if anyone answers my question i will pay $10
this server only give voluntary helps
Don’t try to pay anyone for helps
alpine sable
I am purchasable, but only for 1 million dollars+ (per problem rate)
misty dagger
😍
zenith compass
Lmao
severe sluice
can you help me
try listing all the possible outcomes and their probabilities. assume coins are distinct (i.e. HTT is different from THT).
swift basalt
but there is no question
up there
alpine sable
I mean still no question
swift basalt
try listing all the possible outcomes and their probabilities. assume coins are ...
wait i have a answer can u check if its correct
alpine sable
you posted a problem, not a question
severe sluice
wait i have a answer can u check if its correct
sure
swift basalt
you posted a problem, not a question
that image is a problem lol
alpine sable
But not really a question, it doesn't illustrate what you want us to do
severe sluice
aside from the fact that you're a weirdo for putting the taskbar at the top of the screen, the table seems correct
swift basalt
But not really a question, it doesn't illustrate what you want us to do
random variables probability distribution table and graph ( bar graph)
alpine sable
aside from the fact that ~~you're a weirdo for putting the taskbar at the top of...
I have it on the right
severe sluice
no offense :\
swift basalt
aside from the fact that ~~you're a weirdo for putting the taskbar at the top of...
okay so the only thing im going to do is bar graph how do i make that
severe sluice
bar graph?
swift basalt
no offense :\
well i like it than task bar in bottom because idk why it makes me uncomfortable
swift basalt
bar graph?
yep bar graph
severe sluice
list the outcomes on x-axis and the probabilities on y-axis and then draw bars
alpine sable
those bars better be sick
swift basalt
list the outcomes on x-axis and the probabilities on y-axis and then draw bars
so all the answer that i answered i will put on the bar grapgh?
i mean all the results i will put on the grapgh or what
alpine sable
try it and post
swift basalt
try it and post
alpine sable
looks good, although depending on how pedantic your teacher is the areas of the bars have to add up to 1
misty dagger
Is that window 11?
lone heartBOT
@swift basalt Has your question been resolved?
swift basalt
what is standard deviation?
lone heartBOT
@swift basalt Has your question been resolved?
swift basalt
<@&286206848099549185> help on this one please
swift basalt
hello
median dirge
Which ques.
swift basalt
this please
im struggling finding the answer
@median dirge
please help me
😦
<@&286206848099549185> please help me please please please
median dirge
@swift basalt
swift basalt
please help me
swift basalt
<@!810532247027449876>
did u find out the answer?
median dirge
I wont find out your answers
swift basalt
I wont find out your answers
why?
median dirge
Come in a VC
swift basalt
why??
swift basalt
no i need the answers just type it here
swift basalt
ik
median dirge
And yes, we dont give away answers
swift basalt
can u tell me how to type it on calculator because i tried it and no results
median dirge
There are homework servers for that
swift basalt
what should i put
its not homework its exercise for us
we literally get no grades in this question lol
swift basalt
just explain it here
median dirge
Okay
swift basalt
okay okay i get it u wont tell me the answer its okay
median dirge
So for all x values less than 0. It has a y-value of 2x-5
And for all x values equal to or greater than 0. It has a y-value of x+7
swift basalt
someone told me that i should write it like 2x(-1) then the result are -7
is it correct?
also i need solutions
median dirge
So first of all you see how the function looks like
swift basalt
swift basalt
what do i need to do
swift basalt
wait
median dirge
swift basalt
-1?
median dirge
At x=-1
swift basalt
1
median dirge
What is the limit of this function
median dirge
How did you get that
swift basalt
i think 0
swift basalt
How did you get that
0 is the answer
i have a answer but no solution because i use the calculator
wait my first answer is -7,-6,-0.5x,-0.02x,-0.002x
so i should rmeove the x then all the answers are ok now?
yes i have done but not this way
we dont use graph in solving the limits
wait dont erase im going to write what u write
okay i get it now thanks
lone heartBOT
@swift basalt Has your question been resolved?
tacit arch
.close
fallen bane
Hey I was wondering if someone could tell me what kind of algorithm I would use to calculate the best path to target from start position
the blue line is path we wanna find
the black line's are walls that we want to ricochet off to the target position
peak kernel
manic wind
What is "best path"
ebon condor
There's a way you can find any path?
but it would include some trial and error
everyone is typing but no one is saying anything
okay if yall need help you can @ me
alpine sable
okay if yall need help you can @ me
Let the man type Lmao. Tr1x thats a good explanation.
still elbow
What is "best path"
for example using something like A* search algorithm to find best path to target object but we want to do this based on ricochet so we have the ability to change direction once it hits something (I.E a wall) but we don't know how calculate it using ricochet or even if this is the correct algorithm to use
fallen bane
yes
ebon condor
yeah idk about the shortest path guaranteed
but you can find a short path
Here's an iterative algorithm
- test if you can reach target
- if yeah cache result
- reflect all targets across each surface
- test if you can reach target
alpine sable
Don't Memorize
fallen bane
1. test if you can reach target
2. if yeah cache result
3. reflect all targets a...
thanks
lone heartBOT
Available help channel!
neon garden
lone heartBOT
neon garden
cant figure it out
pale kestrel
Consider the complement
neon garden
what does that mean
neon garden
is it some american term?
ocean sealBOT
neon garden
so just this?
pale kestrel
well yes
so the complement probability im referring to
is the probability of the complement event
neon garden
1/2?
pale kestrel
???
neon garden
what lol
pale kestrel
when in that very specific example you screenshotted then yes
but not in your original question
neon garden
ive never heard of what you're talking about are you asking for the probability of heads/tails
pale kestrel
What is the complement event in the q
In fact what is the event that happens in the Q, first of all
neon garden
(1/2)^2?
pale kestrel
????
neon garden
idk thats what i was wondering
pale kestrel
what?
neon garden
jesus chill
pale kestrel
What level of math are you taking
Has probability not been defined in terms of events
for you?
neon garden
idk what it is in the american system
year 11
so 10th grade maybe?
idk im not the best
pale kestrel
The event in the question is:
'Pat gets at least 1 head and at least 1 tail'
Im not from america either
pale kestrel
The event in the question is:
'Pat gets at least 1 head and at least 1 tail'
does this make sense to you?
neon garden
yes
neon garden
so what would the opposite of that be?
pale kestrel
correct
'Pat gets all heads or all tails'
is the complement
Have you been shown probability in terms of sets?
abstract fractal
I was gonna say "isn't it no heads or no tails" but then I realized I'm stupid lmao
pale kestrel
We might let the set A represent 'Pat gets at least 1 head and at least 1 tail'
The question wants P(A)
And I suggested to instead work out $P(A^c)$
ocean sealBOT
Shuri2060
pale kestrel
Do you know how $P(A)$ and $P(A^c)$ are related to each other?
ocean sealBOT
Shuri2060
pale kestrel
A^c means the complement of A
pale kestrel
right
neon garden
ok ill try and figure it out gimme a sec
pale kestrel
**Shuri2060**
they are opposites, but I mean to ask how their probabilities are related
neon garden
.close
plucky void
Can anyone solve this : (((l*q)+6)/l) = 98
l=___
q=___
lone heartBOT
Can anyone solve this : (((l*q)+6)/l) = 98
l=___
q=___
ionic hazel
i am not the best at maths but i can try and tell you what i did if it helps
plucky void
k
ionic hazel
i multiplied by I to get (I*q)+6 = 98I
then divided to get q + 6/I = 98
didn't really do much
but it's in a better form
now this is a reciprocal graph
alpine sable
now you can see that there are infinitely many solutions
ionic hazel
can use q and I on x and y
plucky void
now you can see that there are infinitely many solutions
One solution is enough
ionic hazel
can just put a q value in and get an I value that works
alpine sable
if you want one solution set q = 0 and solve for l
ionic hazel
q = 98 - 6/I
plucky void
can just put a q value in and get an I value that works
K, thnks for helping me out
plucky void
if you want one solution set q = 0 and solve for l
Ya, I didn't think 'bout that
plucky void
so for example, when q=6, I = 97
I'm not understanding you, i'm a 8th grader
ionic hazel
I'm not understanding you, i'm a 8th grader
what you don't understand?
plucky void
what you don't understand?
I'm not understanding anything
plucky void
can you make (l+6)/l=98, l+6=98*l
ionic hazel
no
wary stream
No
ionic hazel
now you can
plucky void
I edited it
wary stream
Now that edited version is correct
ionic hazel
yeah. now you need to get all the I's together
plucky void
I think it is easier to solve now
ionic hazel
you have 98I on right side and 1I on left side
so if you subtract 1I from both sides, you get 6 = 97I
plucky void
Ya, now I got you
ionic hazel
great!
wary stream
I simplified it to (l+6)/l=98, by setting q as 0
FYI this was wrong if the problem was $$\frac{l \cdot q +6}{l}=98$$
plucky void
I used calculator for this
ocean sealBOT
dldh06
plucky void
I set q to 0
wary stream
Yes, and what you said was wrong as I mentioned
plucky void
Let me check
wary stream
You don't get $$\frac{l + 6}{l}=98$$ if q = 0
ocean sealBOT
dldh06
plucky void
Oh sorry, I set q to 1
plucky void
K
wary stream
Don't use decimals because fractions are more exact
wooden sapphire
lone heartBOT
wooden sapphire
d(1/x)/dx = 1 because
d(1/x) = 1/h, d(x) = h, so (1/h /h) = 1
alpine sable
is this exercise correct?
I'm so confusing,i think the teacher make some mistake when she typing this
wooden sapphire
so what's going on here?
distant flare
d(1/x)/dx is the derivative of 1/x
wooden sapphire
yes
distant flare
which is the same as x^(-1)
alpine sable
is this exercise correct?
I don't understand this.
wary stream
is this exercise correct?
Don't ask in an occupied channel
Read #❓how-to-get-help
wooden sapphire
which is the same as x^(-1)
right, I get that, so why am I getting the wrong answer here?
and how do you get that from this diagram?
distant flare
using power rule, you get -1/x²
wooden sapphire
I'm not using the power rule
I'm using this diagram
why am I too stupid to figure this out?
I've been staring at this for hours
buoyant kayak
probably because you're trying to find a derivative using a graph with no points
and getting a numeric answer?
wooden sapphire
why does 3b1b tell you to do it then?
wary stream
This is part of a video, if you're questioning about d(1/x)/dx equals what, if you continued in the video, wouldn't it tell you the answer?
distant flare
so how much y changes to x
buoyant kayak
what video is this?
wooden sapphire
ocean sealBOT
a disappointing son
buoyant kayak
geometrically
wooden sapphire
yes
buoyant kayak
wooden sapphire
I'm gonna put my logic here. Tell me what you think. dx is a distance, h. d(1/x) is another distance 1/h, so d(1/x)/d(x) is 1/h /h or just 1.
but... that doesn't make any sense
buoyant kayak
i'm not sure how you reason d(1/x)=1/h
wooden sapphire
I'm not sure how I keep getting it either
dx is h right?
you can just
say it's a distance
vale sapphire
d(x²) ≠ dx²
buoyant kayak
you could assign dx to h if you'd like, however i don't see that helping
buoyant kayak
no
wooden sapphire
why
buoyant kayak
i'm still unsure how you're arriving there
d(1/x) is the change in height of the rectangle he drew
wooden sapphire
yeah
buoyant kayak
he's saying the area of that rectangle must be equal no matter how you change dx or d(1/x)
wooden sapphire
yes
vale sapphire
d(1/x) is asking the question "if i change x by an arbitrarily small amount, how does 1/x change"?
wooden sapphire
the function is 1/x, so if you plug in h, you get 1/h right?
buoyant kayak
sure but h is just a randomly assigned variable
wooden sapphire
yeah
buoyant kayak
d(1/x) does not mean plug in h for x in 1/x
vale sapphire
d of something is not plugging another value in
wooden sapphire
d(1/x) does not mean plug in h for x in 1/x
then what the fuck does it mean?
buoyant kayak
d(1/x) is asking the question "if i change x by an arbitrarily small amount, how...
.
wooden sapphire
that's what's geometrically shown
buoyant kayak
no it ain't
wooden sapphire
it's a Y distance
buoyant kayak
vale sapphire
yeah, but that doesn't mean it's the y distance you get when plugging in dx
wooden sapphire
oh wait
buoyant kayak
he shows d(1/x) as the change in height of the rectangle that occurs when you have a small change in x
vale sapphire
(also, note d(1/x) is negative here)
buoyant kayak
3b1b points that out already
vale sapphire
if you slightly increase x, 1/x should slightly decrease
wooden sapphire
okay so
the corner of the red rectangle
to the corner of the green rectangle
is dx
vale sapphire
horizontally
vale sapphire
Say dx is really small, like 0.1
wooden sapphire
what you plug in
buoyant kayak
you're not plugging in anything
wooden sapphire
you're not plugging in anything
then how are we getting y values on this graph?
buoyant kayak
we're not
wooden sapphire
Do you really think 10 is the height of that rectangle
no, ofc not
wooden sapphire
I understand I'm wrong
vale sapphire
we're not getting values
I think you're muddying the waters here
Let me go the physicist route for this
buoyant kayak
talk about muddying the waters
vale sapphire
Yeah well i don't think the formalism helps here
buoyant kayak
do you want me to tell him to go ahead and plug in numbers
cause you're not supposed to do that
all 3b1b is saying is that the area of the red rectangle must equal the area of the green rectangle
that's literally it
and he already labels the length and width of both rectangles