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#help-33
sturdy lagoon
Are these correct? I did 1.02^6 then multiplied the sum of that by 30000
cobalt sentinel
Yea that shd be good
peak fern
marsh citrusBOT
peak fern
What do I do ?
marsh citrusBOT
@peak fern Has your question been resolved?
marsh citrusBOT
@peak fern Has your question been resolved?
sturdy lagoon
how do i put this in the scientific calculator???
marsh citrusBOT
how do i put this in the scientific calculator???
native frigate
how do i put this in the scientific calculator???
what calculator
the answer is either "your calculator has a function to do it" or "you need to use log rules to make two logs of the same base"
sturdy lagoon
what calculator
desmos scientific calculator
elfin berryBOT
riemann
silver nimbus
marsh citrusBOT
silver nimbus
only need for for b)
Potential difference (delta Volt) between the two circles is 12V
Looking for the charge of the left electrode (circle) in nC (10 to the power of -9 Coulombs)
Left electrode is at 0V
Right electrode is at 12V
Left electrode is at (x=0 y=0) right electrode is at (x=8.2, y=0)
point c (x= 2.7, y=0) point d (x=4.2, y=0)
marsh citrusBOT
@silver nimbus Has your question been resolved?
marsh citrusBOT
@silver nimbus Has your question been resolved?
twilit mulch
marsh citrusBOT
@still temple Has your question been resolved?
hidden plaza
Use midpoint formula and solve?
That doesn’t matter midpoint is defined to be at half the distance between the two end points
elfin berryBOT
Ji891
hollow sparrow
so using the midpoint formula, we know what are x and y values are: (6, 2)
so first off, what's the midpoint formula?
bingo
so let's label x_1 = a and x_2 = b for funsies
so we have the following
$6 = \frac{a + b}{2}, 2 = \frac{log_2(a) + log_2(b)}{2}$
elfin berryBOT
MellowDramaLlama
hollow sparrow
do you see what to do now?
coolio, you see the system of equations? 🙂
cool, can stick around if you want to double check your work
unless you think you've got it
hidden plaza
Correct
orchid scaffold
marsh citrusBOT
elfin berryBOT
MellowDramaLlama
hollow sparrow
not sure I'm following the logic here, why are you dividing both by r^2?
orchid scaffold
if that's the case you can factor out 2r^2
That's what I tried at first but I did that and got the wrong answer
hollow sparrow
what's the full question?
orchid scaffold
My marh book says the right answer is $r^2(4 - \pi)$
elfin berryBOT
Nrmribananacool
marsh citrusBOT
@orchid scaffold Has your question been resolved?
hollow sparrow
hey I'm so sorry I got wrapped up deep in another persons' question
let me look real quick
hollow sparrow
My marh book says the right answer is $r^2(4 - \pi)$
are you still there? 😦
Hi there, this channel is occupied unfortunately and I'm busy helping this person and another. Can you open a new channel over in #❓how-to-get-help and someone can help you if they're available/
?
hollow sparrow
That's what I tried at first but I did that and got the wrong answer
oh that's why. The are of a circle is not 2pir^2
it's pi * r^2
so you have this:
$4r^2 - \pi r^2 = r^2(4 - \pi)$
elfin berryBOT
MellowDramaLlama
marsh citrusBOT
@orchid scaffold Has your question been resolved?
vague ocean
Hi, need some help finding error
marsh citrusBOT
Hi, need some help finding error
vague ocean
proud ice
You wrote z instead of 2z for F
proud ice
I see... 
proud ice
Then why did you write 5t for the z component of F in your integral? 
vague ocean
Then why did you write 5t for the z component of F in your integral? <:thonk:406...
Because it’s clearly a z
😭
Thanks
So dumb. Gotta start writing z with a cross through them and a loopy 2
.close
marsh citrusBOT
marsh citrusBOT
Available help channel!
charred quarry
I need help
marsh citrusBOT
I need help
hazy lion
,rotate ccw
elfin berryBOT
charred quarry
I am specifically confused on the bounds for the complex Fourier formula. It seems everyone has a question where it’s from -pi to pi. What happens when it’s from -1 to 1?
Would this be the correct setup for Cn?
main idol
,rotate
elfin berryBOT
marsh citrusBOT
@charred quarry Has your question been resolved?
marsh citrusBOT
@charred quarry Has your question been resolved?
marsh citrusBOT
@charred quarry Has your question been resolved?
marsh citrusBOT
@charred quarry Has your question been resolved?
manic peak
why is the gradient of the normal to the equation (k-1)x equal to -1/k? isn't it -1/(k-1)?
marsh citrusBOT
why is the gradient of the normal to the equation (k-1)x equal to -1/k? isn't it...
hidden plaza
It’s asking you to show the gradient of isocline is never equal to the negative reciprocal of the gradient of the Family curve satisfying dy/dx = k (ie. lines with gradient k)
marsh citrusBOT
@manic peak Has your question been resolved?
manic peak
@hidden plaza yes
elfin berryBOT
manic peak
that isn't the negative reciprocal tho
isn't the gradient k-1
oh i get it now
it is not the -ve reciprocal of k-1
it is the -ve reciprocal of k
marsh citrusBOT
marsh citrusBOT
Available help channel!
valid kestrel
marsh citrusBOT
valid kestrel
how do I find the min of this function?
granite knot
what is the range of arccos(x)
vernal pond
do you know how to differentiate arccos(x)?
valid kestrel
I'm not too sure tbh
valid kestrel
do you know how to differentiate arccos(x)?
No
o<=y<=pi
is that the range
for arccosx
valid kestrel
yeah
vernal pond
so if we are looking for a min for it and we are multiplying by 3x you would expect x<0
when does the largest value for arccos appear between -1 and 0
marsh citrusBOT
@valid kestrel Has your question been resolved?
severe island
can someone explain the distinction between symmetric and evenly spaced data/distribution?
marsh citrusBOT
can someone explain the distinction between symmetric and evenly spaced data/dis...
severe island
:V
marsh citrusBOT
@severe island Has your question been resolved?
severe island
<@&286206848099549185>
At least why is this a {1,1,2,5,9,12,13,13} a symmetric set?
@marsh peak (sorry for ping), but could i get help on this?
marsh peak
I am unfamiliar with distributions/data science, sorry
shut crag
vad blir translates to what becomes, då translates to when, och translates to and.
marsh citrusBOT
vad blir translates to what becomes, då translates to when, och translates to an...
shut crag
i'm not getting help from the other one
is anyone alive
it's what does g(2) - h(2) become when g(z) = 2(z - 1) and h(z) = 3(1 - z)?
either -1, 1, 3 or 5
late geode
do you understand function notation
placid halo
You keep flipping a coin and whilst you do this, you keep track of the number of heads and tails.
You can think of this as a race between heads and tails. For example if after 9 flips, you have 7 heads and 2 tails, then heads is winning the race by 5
Consider a race of 10 flips, What is the probability that the side you flip first will be winning the race?
marsh citrusBOT
You keep flipping a coin and whilst you do this, you keep track of the number of...
placid halo
So if I do (9C5+9C6+9C7+9C8+9C9) * 0.5^9 I get 256/2^9 = 0.5
but if I try and do it the other way so calculting the probability that the first flip is not winning then doing 1-P(not winning) I get:
1-(9C0+9C1+9C2+9C3) * 1/2^9 = 1-0.254 = 0.746
And i'm not sure which one is correct or where the mistake is in either
crystal wraith
Hm? What's wrong with 9 choose 4 in the second way?
That's a tie. Which supports "not win"
marsh citrusBOT
@placid halo Has your question been resolved?
placid halo
That's a tie. Which supports "not win"
But I think the question is asking for first person winning so 9C4 would also be a tie for them
<@&286206848099549185>
crystal wraith
Actually wair
9 C 4 won't be a tie.
Is this second expression you've written for player 1 or 2?
I was under the impression you did your first toss, now you're finding the probability for the second person to not win.
It means 9 C 4 still is only 4 wins because the first win was the other player's.
placid halo
ah yes you're right
sorry I got confused with what I was calculating
If I add the 9C4 case then I get 0.5
thank you!
.close
burnt abyss
If alcohol is prohibited everywhere, and i say: Alcohol is provibited in some places, is this statement true or false
marsh citrusBOT
If alcohol is prohibited everywhere, and i say: Alcohol is provibited in some pl...
proper zodiac
English language is vague but yes
You are claiming there is atleast one place where alcohol is prohibited
native frigate
It's true, and one could semantically "prove" it
basically the same as the above answer is that "some" is existential, and is "there exists" specifically
proper zodiac
English language is vague but yes
Lol sorry by yes I meant yes it's true
burnt abyss
Lol sorry by yes I meant yes it's true
But
If i say its prohibited only in some places, that would mean that in other places it's not prohibited
Which would contradict the original statement
Or?
proper zodiac
That's your interpretation of the word some
English language does not directly translate into logical sentences
proper zodiac
Equally some = atleast one
proper zodiac
English language does not directly translate into logical sentences
.
Depends on how you interpret words
burnt abyss
If i say its prohibited only in some places, that would mean that in other place...
Ok and if someone says this, how can i counter them
proper zodiac
There is no countering, you both interpret the word some differently
burnt abyss
So its both true and false
proper zodiac
You ask them precisely what they mean
burnt abyss
Well i just took a test
And this was a question
Apparently the answe is: the statement is false
And i wanted to somehow prove my point
So i dont lose marks
proper zodiac
If you wrote down how you were interpreting the word some then a sane marker would give you marks for it
Because their question is ambiguous
proper zodiac
Then take it up with the exam board ig, in questions like this some is usually existential like bunny said
burnt abyss
If i say its prohibited only in some places, that would mean that in other place...
And if i were to go to the teacher, he would say this
And i cant counter him
proper zodiac
You would tell him that he is imposing a certain meaning on the word some
burnt abyss
How do different meanings of some relate to this
burnt abyss
If i say its prohibited only in some places, that would mean that in other place...
No matter what meaning he isnt wrong if he says this
Or?
devout mauve
the keyword is "only" in that case. which isnt in the original statement
proper zodiac
He is wrong if "some" is interpreted as atleast some
burnt abyss
very different meaning
Im sorry but i dont get how they are different
Could you explain
devout mauve
I am thinking of how
sleek lake
you could be dividing the possibilities into 3
some, all or none
devout mauve
when I ask you, do you have some teeth? would you say yes? or would you say no because you have all your teeth?
sleek lake
no, you always do that
devout mauve
and how about when I ask you "do you have only some of your teeth?" same answer?
for me those are different questions
sleek lake
that's universally true, but "some" could mean "not none" instead of "literally the first option I called some"
burnt abyss
Denascite yes i got it
burnt abyss
when I ask you, do you have some teeth? would you say yes? or would you say no b...
I would say yes
Just like i did in the test
burnt abyss
and how about when I ask you "do you have only some of your teeth?" same answer?
And here i would answer no
devout mauve
same
but apparently your teacher would also say no in to the first question
in the end this just boils down to english not being a perfect logical language
burnt abyss
Is it actually different in other languages?
devout mauve
most natural languages have problems like this
thats why in math we are doing all this logic stuff. with the precise meaning of what all symbols etc mean
past heron
When discussing the conditional statement, why do we often say: "If p, then q" that is, "If p is true, then q is true". It seems to suggest that there are no other truth values that p,q can take besides true and true. When looking at the truth table of conditional statement, q can be false. So If p doesn't necessarily mean q is true
marsh citrusBOT
When discussing the conditional statement, why do we often say: "If p, then q" t...
past heron
P and q can be false as well
right yeah
but the statement seems to suggest there is only like only one possible case
burnt abyss
No
past heron
"if p (is true) then q (is true)"
past heron
ok ok i see
Do you think it's better to think of the implies operator as just another operator like $\land$ or $\lor$ or does it have deeper underlying meaning or something.
elfin berryBOT
Chris9381
native frigate
it has the different properties than some operations, but all it does is take 2 binary values and give you one back
so it's just a standard operator
past heron
it has the different properties than some operations, but all it does is take 2 ...
Ok I see thanks. But what about for arguments and consequences. How should I should I think about it in this case? Like $P_1 \land P_2 \land P_3 ... \land P_n \implies C$. In this case do we only care about the case when all the premises are true and the conclusion being true leading to the implication being true. Or we do care about the other cases that can make an implication true
elfin berryBOT
Chris9381
past heron
Sorry this seemingly simple topic has bamboozled me 
sleek lake
we care about true true because it's sufficient
but the → should just work that way too
marsh citrusBOT
@past heron Has your question been resolved?
jovial mulch
Heyas
marsh citrusBOT
@jovial mulch Has your question been resolved?
solemn loom
can proofs by strong induction include algorithms that include base cases and recursion?
marsh citrusBOT
can proofs by strong induction include algorithms that include base cases and re...
devout mauve
sure
solemn loom
sure
I have a proof by strong induction that includes an algorithm and asks if it either requires P(0) or P(1)
solemn loom
aka both n=0 and n=1
I'd say that the proof requires both P(0) and P(1) and you cant prove it by just using either P(0) or P(1)
devout mauve
well I suppose you could reduce P(1) to P(0) aswell
does this really matter?
its a bit ugly
solemn loom
does this really matter?
i guess not?
devout mauve
cause then you might have a leading zero
solemn loom
right
solemn loom
cause then you might have a leading zero
so the proof requires just P(0)
devout mauve
yes
solemn loom
yes
Also for the same algorithm, where exactly did we need strong induction in the proof?
is it to prove our inductive step?
devout mauve
we are using the induction hypothesis for floor((k+1)/2)
which isnt k
but somewhere <= k
solemn loom
we are using the induction hypothesis for floor((k+1)/2)
hmm so we're using induction hypothesis and not inductive step
what about for the base cases
devout mauve
the inductive step uses the induction hypothesis. thats how induction does things
wdym with "what about the base cases"
they are proved separately
solemn loom
like
solemn loom
wdym with "what about the base cases"
did we need strong induction in the proof to prove the base cases, inductive step, and induction hypothesis?
devout mauve
this whole process is called strong induction
solemn loom
this whole process is called strong induction
so what i said stands true then
devout mauve
well not really. we didnt use strong induction to prove base cases and so on
base cases, induction hypothesis and inductive step are parts of what (strong) induction is
we didnt use strong induction for those steps at all. they all together make up our use of strong induction to solve the problem
lets imagine we build a table
part of that are steps like picking wood, using a saw, whatever
I'm not a builder
you wouldnt say I use "build a table" for the step "using a saw"
that just nonsense
marsh citrusBOT
@solemn loom Has your question been resolved?
waxen heron
Can someone help me with this problem?
marsh citrusBOT
Can someone help me with this problem?
@waxen heron Has your question been resolved?
high ginkgo
marsh citrusBOT
high ginkgo
this is what i know, and i assume i will have to use taylors inequality
how do i start the process?
i should write out the first few terms of the series but idk how
marsh citrusBOT
@high ginkgo Has your question been resolved?
high ginkgo
.close
flint reef
How do I find x in 1/sinx =1.25?
marsh citrusBOT
How do I find x in 1/sinx =1.25?
silent marten
Exacly!
silent marten
What do you mean ? ( English is not my main languague , so maybe i am not getting the point ) , but you need to find the degree of what exacly?
flint reef
Degrees as in degrees in a circle
silent marten
Ahhh ok ok got it
well , you cant do that in this case ( at least x its not a table number , like pi/3 , pi/4 , pi/6 )
because if you have 1/sinx = 1,25 <=> 1/1,25 = sin x (1,25 = 5/4 ) <=> 4/5 = sin x , and this is not an known angle if you know what i mean
flint reef
Well I found the answer the degree is 53 (non exact)
If you were to plug in x = 53 into 1/sinx = 1.25
It = 1.25
silent marten
yeah you can find the answer by apllying the inverse function of sine
flint reef
Ya that's what I needed to do
silent marten
its called arcsin, you can aplly arcsin to both sides and you get arcsin(4/5) = arcsin(sinx) so you get arcsin(4/5) = x
silent marten
Hiii guys i have a question
marsh citrusBOT
Hiii guys i have a question
silent marten
anyone knows a website or something like that, for the cubic formula
but i dont have exact values for the coeficients
sleek lake
wolfram?
silent marten
i have x^3 + (3pcx^2)/-z + (3pc^2x)/z + (pc^3)/-z where p,c and z are arbitrary values
he does this kind of things ?
sleek lake
i don't know what this thing is
silent marten
well its a cubic equation but instead of a coefecient like 3 , 2 , 1/2 , and thngs like that you have an arbitrary constant like "p"
English is not my main languague so if i say something wrong i am so sorry
silent marten
Thank you , the expression its not exacly that but i will try it, thank you so much for your help!
.close
stable scarab
did i do this correctly? ap calc derivatives tangent line work check !! i got another answer too so im so lost now😭
marsh citrusBOT
did i do this correctly? ap calc derivatives tangent line work check !! i got an...
tired saffron
Well
I disagree wi5h you
You made it awfully complex
For no reason
@stable scarab
stable scarab
oh
How do I simplify it?
I didn’t do the work somebody in the server did because we are all trying to find out the actual answer and every time somebody helps us they all get a different outcome
tired saffron
Well
What is the derivative
In terms of x
Of y=x^2 /4
It is x/2
We want to find the value of x for which this = 2
I.e x=4
Y=4
tired saffron
Yes
stable scarab
oh 😭 i did that originally until i over thought
so the slope of f(x) is 2
another helper told me@it wasnt
tired saffron
Yup
spring condor
Can someone help me with this physics question
marsh citrusBOT
Can someone help me with this physics question
spring condor
Been stuck on it for 2 days
Not sure if I did it right. Nor do I understand the question
marsh citrusBOT
@spring condor Has your question been resolved?
tepid holly
tepid holly
A Hi-Fi system operates at a sound level of 45 dB. What is the intensity in W/m²? Assuming 3 channels operate at the same loudness level, what is the total loudness level.
need help
Ok
yeah this is loud
main idol
!ss
marsh citrusBOT
Please post images (such as PNGs or JPGs) of the question rather than other filetypes such as PDFs which have to be downloaded. Non-image downloads can potentially contain viruses or other security risks.
loud stratus
yap of hell
marsh citrusBOT
@tepid holly Has your question been resolved?
rough owl
marsh citrusBOT
rough owl
i got the tree right which is D
But one of the forests is wrong
I think one of them is neither a tree nor a forest i just don't know which one
proper zodiac
why do you think B is a forest
rough owl
Two components, and there's a cycle
proper zodiac
what is your definition of forest
rough owl
a collection of trees but now i see that one is not a tree so it would mean that its neither a tree nor a forest
lemme try it
right?
proper zodiac
correct
also if something is a tree it should also be a forest
a tree is a collection of trees (albeit just one tree)
rough owl
so would D be a forest aswell
proper zodiac
yes because it is a tree
proper zodiac
look at C
lethal verge
I have problems with 3 math problems and how to think, and how to solve them. Any methods are welcome!
Transelation:
1st: A circle with radius 1 is tangent to a line m at a point P. Two circular arcs, with radii 2 and 4 respectively, have end points of m, and are tangent to the circle at the point Q which lies diametrically opposite P on the circle. The area of the circle is F, while the blue and beige areas in the figure have area h respectively G and H. Which statement is true?
2nd:Three circles all have radius 1. The center of each of them lies at an intersection between the other two circles. What is the area of the area that lies within two circles, but not within all three?
3rd: Both the smallest square and the shaded triangle have an area of 1. What is the area of the largest square?
marsh citrusBOT
I have problems with 3 math problems and how to think, and how to solve them. An...
lethal verge
first assignemnt i've allready identified that both g and f got pi as area
but im struggeling to identify what h is out of that info
marsh citrusBOT
@lethal verge Has your question been resolved?
marsh citrusBOT
@lethal verge Has your question been resolved?
lethal verge
Anyone able to help?
marsh citrusBOT
@lethal verge Has your question been resolved?
silent rampart
but im struggeling to identify what h is out of that info
The area of H=the difference between two circular areas
silent rampart
2nd question:
①connect the centers of different circle
②connect the point in shaded area which is on the circle(the center of circle is colinear with these points)
Then compute the areas cut by these lines
notice that this diagram is symmetric so the triangles are equilateral
3rd question：
The side of small square is 1
Set the side of large square is x
And the length of horizontal side of the triangle is y
Use the area of triangles and the ratio in similar triangles to list equations of x and y
Then solve them simultaneously
marsh citrusBOT
@lethal verge Has your question been resolved?
severe island
From the 5 given points, 3 different points are to be randomly selected. What is the probability that the product of the coordinates of these 3 points will be positive
marsh citrusBOT
From the 5 given points, 3 different points are to be randomly selected. What is...
severe island
I have done this:
(3C3 + 2C2 * 3C1)/(5C3) = 4/10
That's correct i guess it's just hypergeometric
but when i tried to do it using the probabilities then i'm not getting the same answer
(3/5 * 2/4 * 1/3) + (3/5 * 2/4 * 1/3)
elfin berryBOT
Result:
0.2
@severe island Has your question been resolved?
still temple
Need help factoring
marsh citrusBOT
Need help factoring
still temple
Yes
still temple
8 times 8
burnt abyss
8 times 8 is 512?
burnt abyss
8 times 16 is 128
still temple
oh soo 8 times 64
elfin berryBOT
Oogy Boogy
still temple
yes
burnt abyss
what can you do now
still temple
minus the 8
burnt abyss
wdym
still temple
like 8-8
still temple
oh like gcf
still temple
so would it be 8(y^2-1)
burnt abyss
no
still temple
Oh
still temple
Oh okieee is it 8(y^2-64)
burnt abyss
yes
still temple
yess
still temple
yes I think I will be able too
elfin berryBOT
Oogy Boogy
still temple
Yess I know this oneee
elfin berryBOT
Oogy Boogy
still temple
OHH so it be 8(y-8)(y+8)
burnt abyss
yes
still temple
AHH okiee that makes lot of sensee
burnt abyss
burnt abyss
you can write 25 as 5^2
still temple
oH okieee
burnt abyss
7 what
still temple
7 times 7
burnt abyss
7^2
still temple
yes that
burnt abyss
$5^2 \cdot x^4 - 7^2$
elfin berryBOT
Oogy Boogy
still temple
hmm x^2
burnt abyss
no
still temple
so just like 5x^2
burnt abyss
no
still temple
ohh
still temple
Im confused
burnt abyss
5x^2 times 5x^2 is (5x^2)^2
still temple
OH
lavish saddle
(5x^2)^2 - 7^2
burnt abyss
use the formula
lavish saddle
yes
lavish saddle
divide by 6
lavish saddle
yess
lavish saddle
more
lavish saddle
yes, (x^2+x-12) can be factorise
lavish saddle
yes!
still temple
OH okiee so then it be 6(x+4)(x-3)
lavish saddle
thats correct
lavish saddle
burnt abyss
storm thunder
how do I close chat soo it dont show occupied
.close
marsh citrusBOT
marsh citrusBOT
Available help channel!
pulsar quail
Why is my answer different
marsh citrusBOT
Why is my answer different
pulsar quail
I see the inductor formula
Can u help me br
marsh citrusBOT
@pulsar quail Has your question been resolved?
wide grail
Can u help me br
integral of v0(initial velocity) + gt (acceleration due to gravity) = v0t + gt²/2 + h0 (we're considering h0 - the starting traveled distance to be 0 because we're only looking at how long it took to travel the next 6 meters)
v0t+gt²/2 = 6
0.2*v0+g*0.02 =6
0.2*v0+0.2=6
0.2*v0=5.8
v0=29m/s
If it had an initial velocity of 0 (because it was dropped) and it now has a velocity of 29m/s, if our acceleration is 10m/s² then 2.9 seconds passed from the drop
So the total drop takes 3.1 seconds
Then we use the formula h0+v0t+gt²/2 where our initial traveled distance and velocity are 0 (since its dropped) meaning it's just gt²/2
10*(3.1)²/2 = 15.5*3.1 = 48.05m just as you got it
If you're wondering where all these formulas come from you just remember v is dx/dt and a is dv/dt, and since our acceleration is g
To get velocity we integrate g and get gt + v0 (a constant, initial value)
To get distance we integrate velocity to get gt²/2 + v0t + h0 (a constant, inital value)
lament gazelle
(c^3+d^4)^2 - (c+d)^3 if c= -1 and d=2
I got 248 since the power of power says to multiply exponents in brackets using the one out of the bracket so it became (-1+256) then (-1+8) which become 255-7=248
marsh citrusBOT
(c^3+d^4)^2 - (c+d)^3 if c= -1 and d=2
I got 248 since the power of power says ...
unborn ibex
whats the question
lament gazelle
(c^3+d^4)^2 - (c+d)^3 if c= -1 and d=2
I got 248 since the power of power says to multiply exponents in brackets using the one out of the bracket so it became (-1+256) then (-1+8) which become 255-7=248
lament gazelle
I dont get it?
unborn condor
you're not respecting the order of operations
hardy slate
hahahahahahhahaha
lament gazelle
sorry I am just having a headache rn
hardy slate
chatgpt sucks at maths
unborn ibex
lol
unborn condor
you have the following:
$( (-1)^3 + 2^4 )^2 - ( (-1) + 2 )^3$
lament gazelle
its the only way for me to make sure tho
elfin berryBOT
LordFelix
lament gazelle
yes
unborn condor
its the only way for me to make sure tho
everything that chatgpt says about maths is, at best, EXTREMELY suspect. It's literally against the rules of the server precisely from how notoriously bad at maths it is
now, done properly, you have:
$( -1 + 16 )^2 - ( 1 )^3$
elfin berryBOT
LordFelix
lament gazelle
yeah i mean i asked it and when it gave me 224 I was stunned so I kept asking then it change the answer to 256
unborn condor
which is:
$(15)^2 - 1 = 225 - 1 = 224$
elfin berryBOT
LordFelix
unborn condor
yeah i mean i asked it and when it gave me 224 I was stunned so I kept asking th...
precisely. That it can change the answer just because you keep asking is proof enough of it being beyond awful
unborn ibex
i still dont understand what is ur question lol
unborn condor
also, you stated the "power of a power" rule.
That only applies if in the parenthesis you have a single power. Not a sum
lament gazelle
I thought it was 16 to the power of 2 then substract the 1 which is 255
unborn condor
because:
$(a+b)^n \neq a^n+b^n$
elfin berryBOT
LordFelix
lament gazelle
so I should do whatever is in the bracket then multiply it if I have a sum
and if I dont i just use the power of power rule
.close
wraith oxide
xRy ↔ x + y is prime : Is this relation reflexive? I'm not sure about how the biconditional affects the statement
marsh citrusBOT
xRy ↔ x + y is prime : Is this relation reflexive? I'm not sure about how the b...
wraith oxide
I was unsure because if X + X is prime, isn't it false implies false, which is true?
hardy slate
?
proper zodiac
The biconditional is just telling you what the relation is, x and y are related if and only if x + y is prime.
If you want to check reflexivity you have to check whether x is always related to x, which is equivalent to seeing if x + x is always prime
wraith oxide
my understandind then is that for it to be reflexive x+x is 2x which isn't prime, so the relation is not reflexive?
whole sleet
2x isn't prime? Prove it.
proper zodiac
Give a concrete example
marsh citrusBOT
whole sleet
More like, give a counter example
2 + 2 = 4, which isn't prime. 2 is not related to 2, so the relation isn't reflexive.
marsh citrusBOT
Available help channel!
wicked birch
how do i do this
marsh citrusBOT
how do i do this
copper raven
deceleration
elfin berryBOT
hidden plaza
Weird name 💀
wicked birch
retardation means constant i think
hidden plaza
Use linear motion equation
wicked birch
like its deceleration us constant
hidden plaza
Since you have constant acceleration
wicked birch
Use linear motion equation
what is that
hidden plaza
You know suvat
wicked birch
ye
hidden plaza
Is the answer not suppose to be in terms of u or smth
wicked birch
hidden plaza
Right zeah
wicked birch
sorry i should have explained better
this is the answer
but i dont know how to eliminate a
hidden plaza
You can first form an equation with s = s using v^2 = u^2 + 2as
wicked birch
yes
hidden plaza
It says it stops so yeah it is
hidden plaza
This is looking at when distance = s
hidden plaza
So from s = -u^2/(2a) you can now look at the instance when the distance is s/2
ie. v^2 = u^2 - u^2/2 after simplifying v^2 = u^2 + 2a • s/2
By plugging in s = -u^2/(2a)
And solve that for v
You should get tthe answe
hidden plaza
By plugging in v=0 when s=s
hidden plaza
Right solve for s
hidden plaza
wicked birch
after that
i plug that into v^2 = u^2 + 2as
to get
i did it in my book now
took me a second to get my head properly around it
tysm
.close
cunning heath
So
cunning heath
I wanna find all matrices A 2x3 above field Z7 that meet these condition
How do u start
marsh citrusBOT
@cunning heath Has your question been resolved?
cunning heath
<@&286206848099549185>
marsh citrusBOT
@cunning heath Has your question been resolved?
oblique jackal
marsh citrusBOT
@cunning heath Has your question been resolved?
marsh citrusBOT
@cunning heath Has your question been resolved?
potent owl
help with this, calculate x
marsh citrusBOT
help with this, calculate x
desert dirge
call bh some length y
work out the other angles in terms of x
solemn nimbus
quick question
marsh citrusBOT
quick question
solemn nimbus
Does 1/x^2 with x=1 differentiate to 2x?
dire spire
$\frac{d}{dx}[\frac{1}{x^{2}}] = x^{-2} = -2x^{-3} = - \frac {2}{x^{3}}$
elfin berryBOT
saad
solemn nimbus
so the answer is no?
dire spire
yes
solemn nimbus
how tf did i get the correct answer then
Its equation of the normal
I got x+6y=43
cuz x=1, and I got -1/6 for the slope
I just did
8(1)^1/2-2(1)
low aurora
marsh citrusBOT
low aurora
Is this equation 3cos(2x)-1 the answer here
Nvm, the site is just really dog. Inconsistent as hell.
.close
marsh citrusBOT
marsh citrusBOT
Available help channel!
sullen ice
marsh citrusBOT
sullen ice
Would c be an extrema point
sour relic
Its not even on the graph
sullen ice
?
sour relic
It's not part of the graph
sullen ice
It is
sour relic
How
sullen ice
One sec
@sour relic
Clearly here c is a part of the function
Same question for this^
uncut widget
it would be an absolute minimum (but not a relative minimum)
uncut widget
afaik extrema are absolute but i just phrased it that way to be explicit
uncut widget
i think c would be an extreme value here as well but i’m not completely sure
that being said if it’s an extreme value for the first function i don’t see any reason why it wouldn’t be here
sullen ice
Okay that saves me a lot of time then
terse wren
Function need to be twice differentiable to have an extrema
sullen ice
Wdym
terse wren
It has to be continuous and can be differentiated twice
sullen ice
That seems arbitrary
sullen ice
What about absolute extrema?
terse wren
It exists despite of discontinuity
So it could be an absolute extrema
But it won’t be local extrema
uncut widget
it isn’t
nvm actually i’m wrong ab that
it is technically a relative max but if you’re using derivatives to find the point (first/second derivative tests) you won’t be able to find it
sullen ice
Yes
marsh citrusBOT
@sullen ice Has your question been resolved?
marsh citrusBOT
marsh citrusBOT
Available help channel!
cunning jackal
how do i achieve this conversion
marsh citrusBOT
how do i achieve this conversion
@cunning jackal Has your question been resolved?
Available help channel!
slow stirrup
Very simple (I think) trig question. 1 radian is the angle of the radius wrapped one time around the circle. Now, that's obviously easy to imagine.
If I only have a pencil and paper, I can't literally pick the radius up and bend it around the circumference. So, how can I be certain of where to put the 2nd "point" such that ABC is 1rad and BC is = the radius? Suppose I've drawn the circle with its radius.
If I'm given a compass, I suppose I could just measure the angle from the center and get 57.3 which tells me where the 2nd point should go. Is there a way without a compass?
I imagine it's trivial, but I've just started trig, so I'm curious. Secondly, how did the Greeks do it?
If I'm not making myself clear or if my question isn't correct, let me know.
For example, can I accomplish this with only a ruler?
marsh citrusBOT
Very simple (I think) trig question. 1 radian is the angle of the radius wrapped...
unborn condor
an angle of a radian is not constructible with a ruler
marsh citrusBOT
@slow stirrup Has your question been resolved?
wet tendon
marsh citrusBOT
wet tendon
how do I solve these types of questions?
undone summit
wet tendon
o wtf we didnt learn that but its saying that the derivative of the top devided by the derivative of bottom equals the limit…?
whole sleet
So you want to attempt to guess a function, plug that into the definition of the derivative, and refine your guess if necessary
It's somewhat clear what the function is, especially if you pay attention to the parenthesis
I think 54 is the easiest one here
The ³ kinda gives it away
whole sleet
Okay, 56. I see a √
wet tendon
yess
whole sleet
What happens if we plug √x into the definition of the derivative?
Specifically the second definition, not the one that approaches 0
wet tendon
lawll
whole sleet
Why 9 btw? I didn't specify a point
wet tendon
o bc it says lim as x aoproaches 9 on the problem
are we not supposed to plug that in yet
whole sleet
Well, you are a step ahead of me and that's a good thing
wet tendon
W
whole sleet
Note c = 9 is the point we're taking the derivative of
wet tendon
yess
whole sleet
So we have the point. We need the function
wet tendon
yaa
whole sleet
Does f(x) = √x work?
wet tendon
no
whole sleet
Exactly. Anything we can do, to fix it?
whole sleet
Bingo. f(x) = 2√x is the actual function
whole sleet
Yep. The point is very obvious when they use this definition of the derivative haha
wet tendon
bc for other questions on the andwer key it says that (for example number 1) that c = 1
whole sleet
A bit less obvious with the other form
wet tendon
oo
whole sleet
For 56?
wet tendon
for 53
whole sleet
Yep. With the h → 0, you need to fit it a little differently
wet tendon
is it bc that problem requires us to use a different definition
ohhhh
welp i dont gotta worry bout that one 😄 OK THANKSS
.close
vast radish
Hello
vast radish
So on khan academy I got the same answer but just simplified it further by entering 49*pi into a calculator and getting 153.93, khan academy however wouldn’t accept this answer, is there a reason why?
desert dirge
rounding is not a more simplified answer
its merely a less accurate one
49pi is the exact answer
desert dirge
because pi has an infinite number of digits
vast radish
What confuses me is they accepted some of my decimal answers too
I’m just wondering if maybe there’s some rule I’m overlooking