can you please show your work ?
#help-0
haughty sun
uncut escarp
you do understand the sum sign correct?
it has a starting whole number value represented by a variable on the bottom (k = 1) and a value which the variable approaches in increments of 1 on the top (3)
for every step it plugs the value, starting at k = 1, into the equation and adds the answers together
smoky condor
You mean put in k³(k²-1)
uncut escarp
here you would calculate k^3((k^2) - 1) for k = 1, k = 2, k = 3 and add those together
warm copper
,rotate
ocean sealBOT
warm copper
!status
lone heartBOT
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 was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
State the definitions of arithmetic progressions and geometric progressions, and provide a couple of examples of each. Then, ask yourself if you took 3 elements in order from each of those progressions, is there a consistent, reasonable way to relate them? If so, is it an answer? If not, your answer is d.
smoky condor
There are ways to relate the means but not progressions
warm copper
It seems you have your answer.
last walrus
Is there a missing word? It say arithmetic mean of 4, and ... mean of 9?
warm copper
number 47 doesn't involve the means.
warm copper
Originally, we were. Instead of closing the channel and opening another one, they elected to ask a follow up for another item on the page.
last walrus
Why do I feel like both (a) and (b) are valid solutions for 47?
lone heartBOT
@smoky condor Has your question been resolved?
warm copper
The relationship between $p$, $q$, and $r$ is based on some initial value $s$ and some common ratio $t$. We could say that $p=st^n$, $r=st^{n+1}$, and $q=st^{n+2}$. Then, $pr = st^nst^{n+1} = s^2n^{2n+1}$ and $q^2 = s^2t^{2(n+2)}$. Since $pr\not=q^2$, I would rule out both a) and b) on the grounds that $a-b = b-c$.
ocean sealBOT
Shenzao
untold lake
Can someone help me with the proof on why this is or isn't a vectorial subspace
tacit arch
Can someone help me with the proof on why this is or isn't a vectorial subspace
Did you check the definition of subspace
lone heartBOT
@untold lake Has your question been resolved?
lone heartBOT
lone heartBOT
Available help channel!
lost dirge
lone heartBOT
lost dirge
I don’t really understand how X is a map (function) and a variable
vale wigeon
roughly speaking a random variable is an assignment of a real number to each point in Ω
which is exactly what a function is
lone heartBOT
@lost dirge Has your question been resolved?
lost dirge
injective? with the natural numbers?
prime seal
is nulity of a matrix dimension of its kernel?
lone heartBOT
is nulity of a matrix dimension of its kernel?
alpine sable
yes
hot bluff
nullity and kernel are identical, just different words for the same thing.
lone heartBOT
prime seal
.reopen
lone heartBOT
✅
prime seal
nullity and kernel are identical, just different words for the same thing.
but how come be nunlity equal to dimKerA and kerA at the same time?
ocean hawk
nullity is the dimension, nullspace is another name for kernel
lone heartBOT
lone heartBOT
Available help channel!
cosmic acorn
Hi
cosmic acorn
The solution seems not to be right
It should be this but idk how to reach this solution
I do not see any mistakes
I controlled everything. I just looked 15-20min on it
tall topaz
Take out a factor of e^(-2x)
cosmic acorn
Take out a factor of e^(-2x)
What happens with 32
tall topaz
Well you can write (32=32\cd e^{-2x}e^{2x})
Lol my flights gonna take off good luck
There we go
ocean sealBOT
Pure
ocean sealBOT
Pure
limpid turret
!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.
elfin fiber
rise = change in y
run = change in x
slope = rise/run
real gazelle
Are you supposed to be doing it individually?
Like, without help from other people
Alright
lone heartBOT
Helpers are just people volunteering their time to help you. Be polite and patient.
edgy breach
damn bro is toxic
vapid shuttle
what made no sense about this?
the "rise" is how much you 'rise' vertically. it's how much you go up. It's the change in the y-value, from lowest to highest
the "run" is how much you 'run' horizontally. It's how much you go left to right. It's the change in the x-value
The slope of a line you can think of as the rise divided by the run. Rise/Run
change in y / change in x
!noans
lone heartBOT
The purpose of this server is to help you learn, not to hand out answers. Do not ask someone to give you the answer directly.
edgy breach
it looks like the question is just asking y = mx+b, so being told rise/run was actually helpful. m = (y2-y1)/(x2-x1), where y2 and x2 are "later" x/y values, and y1/x1 are "earlier". In general the easiest way to do this is using the intercepts.
the +b of y=mx+b is just the y-int, which is just th value of y when x = 0
vapid shuttle
People have been helping you for over 15 minutes
you just expect to be handed the answer
that's not how it works
pseudo ice
should’ve asked earlier than 8mins to the deadline…
vapid shuttle
rise = change in y
run = change in x
slope = rise/run
edgy breach
you should not be so rude to people in the future especially people who are trying to help you. if u listened and tried to learn, you would've gotten this question right. Instead you were calling people idiots and laughing at them, which only ended up with you failing
vapid shuttle
Then why not solve it yourself?
hidden knoll
we do not tolerate academic dishonesty
tacit arch
Then why not solve it yourself?
It wasn't that simple after all
vapid shuttle
You said it was test corrections, the moderator, was making sure you weren't cheating
hidden knoll
<@&268886789983436800>
vapid shuttle
to help you learn
ocean whale
Then please read #❓how-to-get-help to understand how the server works
pseudo ice
!noans is literally rules lol
lone heartBOT
The purpose of this server is to help you learn, not to hand out answers. Do not ask someone to give you the answer directly.
hidden knoll
vapid shuttle
It's called being entitled and rude
tacit arch
Yikes
edgy breach
you're doing very early year math, this is stuff you need to know if u ever want to do math. The purpose of this server is to help people understand so they can apply what they learn in tests. You're new to this server tho so maybe u missed it.
ocean whale
Found this
tacit arch
Found this
Yikes
vapid shuttle
What a great attitude to have
night geyser
.close
lone heartBOT
merry depot
edgy breach
sarcasm isn't being rude, especially since you don't know anyone. It's one thing to do it with friends but it's weird with strangers
tacit arch
Nami did the bani
vapid shuttle
Unfortunately I don't even think they were trolling 😭
lone heartBOT
Available help channel!
trim wedge
lone heartBOT
trim wedge
Question: Each of the following graphs can be generated by stretching or compressing the graph of y=logx. Write an equation to correctly the describe the graph.
Answer: y=log(2x)
Why is this the case
chrome tiger
The answer can't be log(2x)
The images show that the functions are zero at 1 and 2 respectively
While log(2x) is zero at x=1/2
hot bluff
for reference
pseudo ice
They tried 
they only considered transforming (10,1) but forgot about the (1,0) point lol
fading latch
?
grand gulch
if $x_n$ converges then $\frac{x_n}{n}$ also converges
lone heartBOT
if $x_n$ converges then $\frac{x_n}{n}$ also converges
ocean sealBOT
skischooldropout
grand gulch
so my initial thoughts are yes this should converge its just been a while since I have done proof based math and I am definitely struggling more than I think I should be on this problem. So I guess there would be two key cases. First where x_n grows faster than n at which point does it converge to a or when n grows faster than x_n/n at which point does it converge to 0
pseudo ice
You may want to notice that $\frac{x_n}n = x_n\cdot \frac1n$
ocean sealBOT
@pseudo ice
grand gulch
so this to me then wants me to say yes and my intial thoughts are to use this with the eplisons to try and make everything "equal"
so I think |x_n - a| > |x_n * 1/n - a|
pseudo ice
Are you using $a = \lim_{n\to\infty} x_n$ right?
ocean sealBOT
@pseudo ice
grand gulch
correct as an aside I would also have to consider $a = \lim_{n\to-\infty} x_n$?
ocean sealBOT
skischooldropout
pseudo ice
And what are you allowed to use? Can you e.g. use properties of convergent sequences or anything?
grand gulch
yep anything this is just self-study
pseudo ice
Cool, you may want to think about properties of convergent sequences maybe 
pseudo ice
<@788085606483361802>
Hopefully me writing it in this form should help you find something that might be useful!
grand gulch
I appreciate it!
pseudo ice
like considering boundness?
You could use that too, but there should be a theorem somewhere that talks about you having convergent sequences and what you can do with them
grand gulch
ok ok Ill go back and look!
pseudo ice
Yep, take a look through what you have, you should hopefully find something useful!
pseudo ice
No problem 
do let me know if you manage to cook something with those 
(or not 
)
lone heartBOT
@grand gulch Has your question been resolved?
uneven rivet
For limits of two variables
U can always prove it doesn’t exist via plugging in polar cords right
Like if there’s a trig function in it and no r then like it doesn’t exist bc the theta could change so the limit changes
lone heartBOT
For limits of two variables
U can always prove it doesn’t exist via plugging in ...
@uneven rivet Has your question been resolved?
spiral pasture
lone heartBOT
junior vigil
let u=2+ln(x)
subtle blade
could someone help me solve this?
lone heartBOT
could someone help me solve this?
subtle blade
i have to use the work energy theorem and this equation
lone heartBOT
@subtle blade Has your question been resolved?
lone heartBOT
@subtle blade Has your question been resolved?
tender oak
How do I factor x⁴-16? I've just started learning factoring perfect cubes and we weren't taught how to do anything above x³ yet💀. I don't want to use youtube since my teachers have a different method of teaching and that might screw me up, thanks.
hushed locust
you can treat x⁴ as (x²)²
glad echo
do the ² twice
elfin fiber
Do you know about difference of squares?
glad echo
you can treat x⁴ as (x²)²
^^
vocal jewel
How do I do this?
lone heartBOT
How do I do this?
visual citrus
Guys don't kick me out but I am a 5th grader who wants and desires to learn math. My hardest is pre-algebra and no one in my class knows how to do it. I am on winter break and am able for a few methods and practices to improve my algebra (not pre-algebra). Thank you.
elfin fiber
Guys don't kick me out but I am a 5th grader who wants and desires to learn math...
You're not going to be kicked out. Open your own help channel though.
lone heartBOT
@vocal jewel Has your question been resolved?
lone heartBOT
@vocal jewel Has your question been resolved?
last walrus
@vocal jewel Hi there, I think the missing statement is likely something about congruent triangles and the fact that you know SSS congruency
vocal jewel
<@407191601496981525> Hi there, I think the missing statement is likely somethin...
it's one of these
last walrus
These are all X, Y, Z, but the original question you posted had ABCD
lone heartBOT
@vocal jewel Has your question been resolved?
vocal jewel
These are all X, Y, Z, but the original question you posted had ABCD
when I click on the box that's what shows up
im assuming it's because it's a delta math
north trout
what is 1+1
lone heartBOT
what is 1+1
junior vigil
what is 1+1
Please do not troll in help channels.
junior vigil
.close
lone heartBOT
lone heartBOT
Available help channel!
novel sand
10c2 is for selecting any two x and y from set 3k but why didnt they do it 3 times as from the set of 3k+1 the difference is also multiple of 3 same thing for 3k +2
rose sigil
the square of a number of the form 3k+2 leaves 1 remainder when divided by 3
because (3k + 2)^2 = 9k^2 + 12k + 4 = 3(3k^2 + 4k + 1) + 1
so x^2 - y^2 will be divisible by 3 if:
both x and y are divisible by 3 or
both x and y are not divisible by 3
i might have jumped too much there, does it make sense?
novel sand
its a bit confusing
rose sigil
novel sand
3k+2 squared leaves a remainder so lets say its the x number
Then the y would also leave a remainder 1
rose sigil
what's y?
rose sigil
a 3k +1 form too?
novel sand
like one number i chose is 3k_1 + 1 and other 3k_2 + 1
rose sigil
if x is of the form 3k + 1 and y is of the form 3m + 2, then yes, x^2 - y^2 will be divisible by 3
rose sigil
how is it being excluded 
novel sand
Oh
rose sigil
there are 10c2 ways to pick x and y both divisible by 3, and 20c2 ways to pick x and y both not divisible by 3
it's included in the 20c2
cinder breach
lone heartBOT
cinder breach
Can somebody please explain this passage?
lone heartBOT
@cinder breach Has your question been resolved?
lofty creek
(N+1)n!=n n!+n!
cinder breach
How do we come up with this?
lofty creek
Write the denominator in the same way as in the picture
What terms do you get extra?
cinder breach
What terms do you get extra?
Do i do the distribution of the brackets for the denominator as well?
cinder breach
Ok but why's that
lofty creek
How do you get there from k!(n+1-k)!?
lofty creek
I know that n! = n(n-1)!
Hint: smth like this
cinder breach
Yes?
lofty creek
You are writing it as if you have the solution already
cinder breach
and n+1-1-k turns into n-k
lofty creek
and n+1-1-k turns into n-k
This is what the first fraction is right?
cinder breach
Yes
lofty creek
Ignore the top part for now
Only look at the denominator
<@&268886789983436800>
We have the first part already
K!(n+1-k)!=k!(n-k)!(n+1-k)
Now we want the second part
k!(n+1-k)!=.......=something*(k-1)!(n+1-k)!
lofty creek
Ignore the derivation
Right now
We are trying stuff out
To see if we can spot any pattern
We have no clue where alwe are going yet
So trying to write down the whole derivation is futile
lofty creek
we need to go to something with $k!(n-k)!$ and $(k-1)!(n+1-k)!$ in the denominator
ocean sealBOT
Flappie
lofty creek
and they both need to come from $k!(n+1-k)!$
ocean sealBOT
Flappie
lofty creek
we have already found how we got to the first one
$k!(n+1-k)!=k!(n+1-k)(n+1-k-1)!=k!(n-k)!*(n+1-k)$
ocean sealBOT
Flappie
lofty creek
so now we want to go to the second one
$k!(n+1-k)!=??????=(k-1)!(n+1-k)!*\mathbf{stuff}$
ocean sealBOT
Flappie
cinder breach
and what is the stuff
1 / (k-1)! ?
lofty creek
how do we go from $k!$ to $(k-1)!$?
ocean sealBOT
Flappie
cinder breach
Divide by k
ocean sealBOT
Flappie
lofty creek
**Flappie**
so if we look here
stuff=k
right?
so we have
$\k!(n+1-k)!=k!(n-k)!*(n+1-k)\k!(n+1-k)!=(k-1)!(n+1-k)!*k$
ocean sealBOT
Flappie
lofty creek
you see this part?
cinder breach
Yes
cinder breach
I don't understand
ocean sealBOT
Flappie
cinder breach
n+1-k?
cinder breach
K
lofty creek
exactly
so only now we go back to our question
$\frac{(n+1)n!}{k!(n+1-k)!}=\frac{n*n!}{k!(n+1-k)!}+\frac{n!}{k!(n+1-k)!}$
ocean sealBOT
Flappie
lofty creek
which fraction do you think becomes the k one and which the n+1-k one
(try stuff out)
cinder breach
(try stuff out)
We need to simplify n right?
cinder breach
I am
lofty creek
$\frac{n!}{k!(n+1-k)!}=\frac{n!}{k!(n-k)!(n+1-k)}$ and $\\frac{n\cdot n!}{k!(n+1-k)!}=\frac{n\cdot n!}{k(k-1)!(n+1-k)!}$
ocean sealBOT
Flappie
lofty creek
$\frac{n!}{k!(n-k)!(n+1-k)}+\frac{n\cdot n!}{k(k-1)!(n+1-k)!}$
ocean sealBOT
Flappie
lofty creek
okay well honestly
im not sure where this is going either
im just trying stuff out aswell
cinder breach
I am crying
lofty creek
${a \choose b}=\frac{a!}{b!(a-b)!}$
ocean sealBOT
Flappie
lofty creek
aha
cinder breach
Btw thank you very much
And thanks for all your patience
And sorry if i am slow 😭
lofty creek
i want to find the solution aswell :)
i know i did it somewhere a few years ago
so its actually good practice for me aswell
cinder breach
so its actually good practice for me aswell
cinder breach
Still that passage the professor wrote makes no sense
That where you split the fractions
lone heartBOT
lofty creek
goodbye
lone heartBOT
Available help channel!
nova barn
lone heartBOT
nova barn
i'm stuck on the inverse part here..
i know that the graph of inverse of f(x) is symmetric abt y=x..so the area on the y axis by f(x) will be same a the area on x axis by inverese..
<@&286206848099549185>
lone heartBOT
@nova barn Has your question been resolved?
nova barn
.close
lone heartBOT
lone heartBOT
lone heartBOT
Available help channel!
molten tusk
yoo
molten tusk
lone heartBOT
@molten tusk Has your question been resolved?
hushed ether
lone heartBOT
oblique drift
im pretty sure the right hand side should be in denominator
but anyways leme write the solution and explain, 1 min please
oblique drift
yes
oblique drift
$\frac{1}{(sec(x) - tan(x))^2}$ \
$\frac{1}{sec^2(x) + tan^x(x) - 2sec(x)tan(x)}$ \
$\frac{1}{sec^2(x) + sec^2(x) - 1 - 2sec(x)tan(x)}$ \
$\frac{1}{2sec^2(x) - 1 - 2sec(x)tan(x)}$ \
ocean sealBOT
killersnake
oblique drift
this is what i get in end
hushed ether
idk if its related to the top
hushed ether
oblique drift
the original image u sent didnt include it lol
hushed ether
yea
oblique drift
idk if its related to the top
which one you want to solve
gray isle
use the result in b)
lofty creek
c is literally b but squared
hushed ether
so i juz square this?
crystal thistle
the integrand is (1+sin x)/(1-sin x)
now sub sin(x)=t and it will be a rational function in t
hushed ether
what even is integrand-
crystal thistle
if you prove (b) then its much easier than what i wrote
hushed ether
i proved b but no idea how to do c
crystal thistle
just square
hushed ether
square secx+tanx?
hushed ether
oh
oblique drift
if you prooved (b), then just square both sides
oblique drift
but in exam, you will need to write steps to proove (b) before squaring
fallow wadi
Let T be the set of subtrees of a tree T. Prove that if the intersection of any two T1, T2 ∈ T is not empty, then the intersection of all (T in T) is also not empty.
lone heartBOT
Let T be the set of subtrees of a tree T. Prove that if the intersection of any ...
@fallow wadi Has your question been resolved?
somber crag
jagged cobalt
upbeat eagle
Hello
upbeat eagle
I know how to do everything
But I dont understand the markscheme for B
I did a different way, but I cant understand this ^
Wait nvm I understand
lofty creek
they are calculating the area of y=x^2+1 from 0 to 2 and then simply the area of the triangle
lofty creek
the area under the parabola
upbeat eagle
upbeat eagle
Yeah I understood that ^
New question
How would you calculate the blue area
(4,10) is the coords of the corner
I would assume, you make a y = mx+c formula for the 4,10
And it would be y=x +6?
lofty creek
wait, why do you draw that tall rectangle?
upbeat eagle
Bc I want to find the area of it
lofty creek
aha
upbeat eagle
I would, make 2,5 a y=mx+c
So y= x + 3 ?
lofty creek
well, area of a triangle is area*width?
upbeat eagle
?
lofty creek
oh, you dont want from the line?
lofty creek
okay
upbeat eagle
If i wanted the area of the pink
I would start off with making a y = mx+c of that top blue line
So then
y= x+ 3 and x^2 +1
[x+3 -x^2 -1] dx from 0 -->2
Would that give me that pink area?
lofty creek
the verticle blue line would be x=2
upbeat eagle
oh
lofty creek
because a function requires you to have only one y value for each x
a parabola rotated to the right would not be a valid function
what are you going to use the vertical line for?
upbeat eagle
it was more of a question formyself
lofty creek
alright
upbeat eagle
to make sure I remember stuff hehe
lofty creek
:)
tyty
lofty creek
take your time
upbeat eagle
alright got it then
Im going to take a break now
Ty flappie
once again
.close
lone heartBOT
lofty creek
Ty flappie
no problem
lone heartBOT
Available help channel!
fallow solar
If the curve of a continuous function on its domain has one point of inflection, then the greatest number of points at which the function curve intersects with any straight line is equal to.......
exotic canopy
at least one or exactly one?
fallow solar
No exactly one
exotic canopy
imagine any straight line
and a continuous curve
how would they intersect twice?
sketch it
fallow solar
fallow solar
It's only 1 point
fallow solar
fallow solar
In the question it literally says the curve has one inflection point
exotic canopy
exotic canopy
In the question it literally says the curve has one inflection point
yes i am aware
fallow solar
How are those inflection points?
exotic canopy
i just want to show you that for a curve to intersect a line twice, there must exist at least two points of inflection
fallow solar
Here is a sketch of a line that intersects twice with a curve with no inflection points
exotic canopy
i just want to show you that for a curve to intersect a line twice, there must e...
wait hold up
nvm i am wrong
but like
this is a purely visual question
the answer is 2 btw
fallow solar
Yup
exotic canopy
$y'' = 0$ has 1 solution\
$y = 0$ has $n$ solutions\
solve for $n$
ocean sealBOT
artemetra
fallow solar
what's the answer?
3
The question really doesn't make sense for me
I don't even understand it
Oh hell yeah
I got it
exotic canopy
oh i got it
oh
lol
now idk why i was thinking only 2
a lot of cubics satisfy this
fallow solar
Crazy
exotic canopy
if you are done, write ".close"
mild monolith
Apply gradient descent to MSE:
Come up with at least 3 training examples
Take at least 2 weights
Work out at least one step completely
Also, observe the effect on the cost
right picture is my solution, yet is seems to be wrong. This is the feedback i got^^ i dont understand what i did wrong
pure depot
Hi! I had a question regarding the curves for this question. Why is the Area in the middle not considered??
mild monolith
ooooh i think i might understand, the 1.667 i calculated should be applied to the weights and then recalculate the MSE, till we reach 0 or as close as possible
wrong channel buddy
pure depot
Ok
mild monolith
@pure depot would you mind deleting the messages
i dont fully understand the mse formula given by my school, when i google it looks so much different. Could anyone explain how the MSE formula i sent works the same
<@&286206848099549185>
crystal thistle
sorry but what is mse 😶
mild monolith
Mean squared error
it's a way to calculate the error of an a.i models prediction
in order to tweak it's weights
crystal thistle
oh
lone heartBOT
@mild monolith Has your question been resolved?
mild monolith
<@&286206848099549185>
mild monolith
.close
uncut escarp
does this logic make sense?
lone heartBOT
does this logic make sense?
uncut escarp
does it hold
lone heartBOT
@uncut escarp Has your question been resolved?
uncut escarp
not really
<@&286206848099549185> could you check the logic, give some input and then close this, i gotta go
lone heartBOT
@uncut escarp Has your question been resolved?
cursive cosmos
is this working out correct?
cursive cosmos
.close
lone heartBOT
lone heartBOT
Available help channel!
forest hinge
I am about to take a college placer test that I failed earlier and I really need help studying arithmetic
forest hinge
I am struggling with the fractions and percentages
I barely failed last time and I fo ant take the test again in 40 minutes if anyone just has some quick advice I really need it
I am about to leave ANYTHING will help
I really need simple formulas for solving percentages and turning fractions into decimals and decimals into fractions (without a calculator.)
Its asking quesitons about computing in my head which I am not very good at
<@&286206848099549185>
lone heartBOT
@forest hinge Has your question been resolved?
lone heartBOT
@forest hinge Has your question been resolved?
lone heartBOT
@forest hinge Has your question been resolved?
plucky surge
lone heartBOT
plucky surge
Can you pls give some hints for these? f^3 means f(f(f(x)))
vapid shuttle
what does it mean for f^(3) to be surjective
plucky surge
what does it mean for f^(3) to be surjective
for all y in A, there exists x in A such that f3(x) = y
vapid shuttle
and what is f^(3)(x)
plucky surge
f(f(f(x)))? sorry what do you mean?
plucky surge
yeah
vapid shuttle
that's the key
for all y in A, there exists an x in A, such that f^(3)(x) = y
for all x in A such that f^(3)(x) exists, there exists a z in A such that f^(2)(z)=...
and son on
plucky surge
ohhh okay i think its starting to make sense, let me process that a little first
vapid shuttle
plucky surge
for all x in A such that f^(3)(x) exists, there exists a z in A such that f^(2)(...
by this, is this f(f(f(x))) = f(f(z)) what you meant?
vapid shuttle
sure
plucky surge
so i've written down what I assumed, but am i using the wrong idea? the definition for the 3 lines above were functions
vapid shuttle
your first line is already sus
for all x, there exists y1 such that f(x)=y1 ?
what if x is not in A?
what if x is an elephant?
and then moving to the second line
sure, for all x in A there exsists y1 such that f(x)=y1
but now the same problem
why must y1 be in A?
you have to start with what you are given about f^(3)(x) being surjective
and work backward from there
instead of forwards as you are
plucky surge
okay thanks, let me go back to your comments earlier to try and work backwards
is this more along the right line?
vapid shuttle
okay the first line is better
the second line doesn't make much sense
it should read more like
f(f(f(x))) is a specific output of f^(2)(x)
so for all f(f(f(x)) there is a value in the domain of f^(2)(x) that takes on it
it isn't clear to me how to state that neatly
but I don't think that's what you quite have in line 2
vapid shuttle
looks good at a brief glance
plucky surge
is this a bit more clear now? not full write-up, but does the idea make sense?
vapid shuttle
no problem
plucky surge
appreciate it lots
alpine sable
lone heartBOT
alpine sable
@foggy pecan
i got d = 20
bru
@foggy pecan what did i do wrong
- i differentiated the equation and made them equal to 0
cuz i wanna find the stationry point which is the turning point
and then we also know that the the turning point is at 1, 3 at x
so idk what i did wrong
@foggy pecan can u see this?
foggy pecan
i am here
foggy pecan
a = -6, b = 9 and c = -2, you confirm them ?
foggy pecan
yes
so
now use them in your given function cube polynomila
and finally
x = 3, and y = d
alpine sable
so 27 - 54 + 9 + -2 = d
alpine sable
it's ok
how do i reduce my sily mistakes
i acc do this a lot recently
do u know any tips
foggy pecan
how do i reduce my sily mistakes
you must write slower, and be precise, feel such precision, whenyouwrite soemthign try to veirfy each line you wrote
at beginnigns it makes process slower, but later, it wibe automatic
foggy pecan
yw )
foggy pecan
yes i am
foggy pecan
is that ur baby in ur pfp?
yes, that is my Baby, ) but virtual one :))
alpine sable
yes, that is my Baby, ) but virtual one :))
oh ooppsssss i thought it was real life
mb
anyways
foggy pecan
smiles
foggy pecan
yw)
lone heartBOT
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faint monolith
Jones is chasing a car 800 meters ahead of him. He is on a horse moving at 50 km/h. IfJones catches up to the car in 4 minutes, how fast was the car moving?
lone heartBOT
@faint monolith Has your question been resolved?
faint monolith
How much faster must Jones be to be able to catch up within four minutes
idk
how do u do it
can u show me
faint monolith
ok
eager sonnet
Jones catches up in 4 minutes. How far did Jones travel
faint monolith
10/3 minutes
faint monolith
yeah
eager sonnet
Good
Then we'll use it to derive a method to solve such qns
Let the speed of the car be x km/h
faint monolith
yes
eager sonnet
How far did the car travel before it was caught up by Jones (not including the 800m at the beginning)
faint monolith
idk it. doesnt give any information about the car
eager sonnet
Use x
faint monolith
oh
eager sonnet
So?
eager sonnet
We worked out the time taken for Jones to catch up
That's the same amount of time that the car moved
So let's first express 10/3 min in hours
faint monolith
1/18 huors
faint monolith
x/18
eager sonnet
10/3 minutes
Oh shoot
I'm sorry
Earlier I thought u were correct but u were wrong
It's 10/3 km
faint monolith
wait im getting confused
can u write everything we've done up to here
like summary
faint monolith
ok
eager sonnet
Earlier u said 10/3 mins right?
faint monolith
wait the time they travel is the same right?
eager sonnet
Ya
faint monolith
so we just get the distance and spped of both a set them equal?
eager sonnet
Earlier u said 10/3 mins right?
But I asked for distance
faint monolith
yeah
eager sonnet
so we just get the distance and spped of both a set them equal?
Not really
So it's actually 10/3 km
Get it?
faint monolith
yes
eager sonnet
Ok
eager sonnet
The car is ahead of him
eager sonnet
Ye
eager sonnet
We have the time
faint monolith
10/3 / 50 = 38/15 / x
yeah
thanks
i just needed help with the first part
my brain blanked out
faint monolith
.close
lone heartBOT
eager sonnet
Wait
lone heartBOT
✅
eager sonnet
I'll teach u an easier method
faint monolith
what is it?
eager sonnet
Basically take distance over time straight away
0.8/(1/15)
12
Then that's the speed difference
So the car's speed is 50-12=38 km/h
eager sonnet
But that's only for catchup type of qns
If its opposite direction
That's a different story
faint monolith
yeah
eager sonnet
Okie?
faint monolith
opposite direction is adding the distances = the total distance
eager sonnet
Yep
lone heartBOT
eager sonnet
No prob
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narrow geyser
how do i rearrange to solve for x
lone heartBOT
how do i rearrange to solve for x
keen mason
rugged spruce
night geyser
.close
woven grove
guys how do you evaluate 29219+73924?
lone heartBOT
guys how do you evaluate 29219+73924?
fallow solar
By the calculator
lone heartBOT
@woven grove Has your question been resolved?
rose aurora
<@899834877531271228> Has your question been resolved?
☠️
faint monolith
Hi
faint monolith
I'm struggling to find out how to add a solution to a problem on AoPS (Art of Problem Solving)
can someone who knows tell me how
lone heartBOT
@faint monolith Has your question been resolved?
lone heartBOT
@faint monolith Has your question been resolved?
lone heartBOT
@faint monolith Has your question been resolved?
crystal thistle
I'm struggling to find out how to add a solution to a problem on AoPS (Art of Pr...
what solution are you trying to add and where (aops wiki or aops contest collection)? well you could ask this on site support forum on aops anyway.
lone heartBOT
@faint monolith Has your question been resolved?
faint monolith
what solution are you trying to add and where (aops wiki or aops contest collect...
AMC 8 contest solutions
crystal thistle
AMC 8 contest solutions
can you give the link to that problem?
lone heartBOT
@faint monolith Has your question been resolved?
frosty oxide
lone heartBOT
frosty oxide
How does one solve it?
vale wigeon
the first step is to write this in a less chicken scratch way
lone heartBOT
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hoary ether
Help me please
lone heartBOT
Help me please
frigid mirage
Help me please
is this the whole problem as it was given to you?
perhaps any mention of x being an integer?
well I tried a bit and I'm out of ideas on how to solve "properly"
luckily it's quite easy to guess an integer solution
lone heartBOT
@hoary ether Has your question been resolved?
weak parcel
Hey
weak parcel
wow do you not get whole numbers for this question
Would the equation for A be
T-4g = 4x -g/4
Obviously assuming g is 9.8
weak parcel
Times
prime glacier
ohhhh
weak parcel
Like 4 times -g/4
weak parcel
Wouldn’t it be -g/4
Cos it’s descending
No it’s rising
Cos Q is descending
Or would it be 4g/4 @prime glacier
prime glacier
nah
it's positive
we take it as positive
because the net force is acting upwards
and that's where it's accelerating
if i'm wrong correct me
but i'm 100% sure it's +g and not -g
weak parcel
Yeah ur right