When i try to equate equations i end up stuck
#help-26
willow chasm
which part?
runic vale
sup
runic vale
why is the domain x not equal to 0 and x not equal to 3
shouldnt it be x not equal to 0 and x not equal to 1?
jade thunder
It’s of f(g)
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slender sonnet
a trapezoids bases are 4 and 12 i got a line that is parallel to the bases and it crosses the touching parts of the diagnals find the lenght of that line
topaz sinewBOT
a trapezoids bases are 4 and 12 i got a line that is parallel to the bases and i...
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slender sonnet
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fiery zenith
Hi. I teacher gave me this task and asked us to research or ask family members to help ,but I can't find it on google and none of my family members are available . Can you please help me😁
topaz sinewBOT
Hi. I teacher gave me this task and asked us to research or ask family members t...
boreal mulch
Hi. I teacher gave me this task and asked us to research or ask family members t...
can you provide a better picture of the angles? thanks
topaz sinewBOT
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obsidian peak
Unsure on what this means/how they got there
topaz sinewBOT
Unsure on what this means/how they got there
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obsidian peak
<@&286206848099549185>
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gritty moon
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gritty moon
Does this look right
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heavy forge
Can someone help me
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agile lantern
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gritty matrix
topaz sinewBOT
gritty matrix
how do i do this
acoustic pecan
do what
golden frigate
real
acoustic pecan
generally by an inverse function
gritty matrix
how would i do that?
acoustic pecan
a calculator preferably
have you ever seen sin^-1 (arcsin), cos^-1 (arccos) or tan^-1 (arctan)
neat cape
hello where can i get help
gritty matrix
have you ever seen sin^-1 (arcsin), cos^-1 (arccos) or tan^-1 (arctan)
yess
i use that?
acoustic pecan
hello where can i get help
gritty matrix
so i just insert that with 0.8173?
bright heron
if sin(x)=y for example then arcsin(y)=x
(sorry to interrupt, but note this is only true for x values within the range of arcsin)
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marsh harness
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polar torrent
We want to start this by figuring out the shift up (C) and the amplitude (A). Also, this will have to be a cosine since we are forced to use either sin(kx) or cos(kx) and cosine is the only one that will give a max on the y-axis
To find A, we take the distance to the highest y-value which is 7, and the distance to the smallest y-value which is |-5|=5. The average of these distances should be our amplitude (A)
marsh harness
So the amplitude would be 2 then?
polar torrent
Once you know that, then you can solve for C, which should be the middle value of the y's
so start at -5 and count up 6 units to find C
marsh harness
So it’d be 1
polar torrent
Yes
A=6, C=1, so that last thing we need to figure out is the value of k
what is the period of cosine? do you know?
marsh harness
2pi?
polar torrent
Correct
the general formula for cos(kx) is (distance between the peaks) = 2 pi / k
so count how many steps from one peak to the next peak
marsh harness
That would just be multiplying 2pi with six right?
marsh harness
Ok I see now
polar torrent
alr so putting it altogether: $6 \cos(\frac{\pi}{3}x) + 1$ I think
thorny flameBOT
polar torrent
polar torrent
haha all good! glad you figured it out
dont forget to close the channel when you ar ehappy
marsh harness
Thank u for the help sir
polar torrent
you bet!
marsh harness
Idk how to close the channel
marsh harness
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regal sluice
so q = 8 + 5sqrt(3), 8 - 5sqrt(3) ? (checking my answer)
topaz sinewBOT
so q = 8 + 5sqrt(3), 8 - 5sqrt(3) ? (checking my answer)
@regal sluice Has your question been resolved?
sterile finch
so q = 8 + 5sqrt(3), 8 - 5sqrt(3) ? (checking my answer)
Looks good.
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coarse tusk
How can I calculate $$\int_0^1 y^{x-1} (1-y)^n dy$$
topaz sinewBOT
How can I calculate $$\int_0^1 y^{x-1} (1-y)^n dy$$
thorny flameBOT
kheerii
coarse tusk
(Here n is an integer and x is any real number such that none of x,x+1,x+2…,x+n are zero)
cursive patrol
looks suspiciously similar to the beta function
thorny flameBOT
kheerii
cursive patrol
So it would become B(x,n+1)?
sounds legit
coarse tusk
Is there a way to do it without beta and gamma functions?
cursive patrol
choose function 🤔 i assume not
coarse tusk
~~choose function~~ 🤔 i assume not
Choose function?
sweet shard
Is there a way to do it without beta and gamma functions?
Why not
It's by definition Beta
dense rain
I don't know what you are expecting if you don't use properties of the beta or gamma function. Anything you do is going to be just reproving properties of beta from scratch, and any alternative method is just going to a tongue in cheek, unhelpful alternative that is doing exactly that but more obtuse.
coarse tusk
I guess I should give more context
The original question is about binomial
The 7th question
What I did was I defined a function $$S(y)=\sum_{r=0}^n \frac{(-1)^n}{x+r} ^nC_r y^{x+r}$$
thorny flameBOT
kheerii
coarse tusk
Then I differentiated and integrated to get S(1), which gave me my integral
coarse tusk
It's by definition Beta
We have not been taught beta function yet
I guess im missing some other easier way to solve this then
pseudo jetty
!xy bro
topaz sinewBOT
Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.
pseudo jetty
partial fractions that shit
cursive patrol
lmao
pseudo jetty
I just did lmao
i'm saying you just pulled a massive xy on us
coarse tusk
damn
pseudo jetty
coarse tusk
i'm saying you just pulled a massive xy on us
Yeah that makes sense
I mean, the integral is also interesting in its own way
I got it solved by parts
sour geyser
Hey
pseudo jetty
as you would
sour geyser
yes im here to help
pseudo jetty
blud
dense rain
The "no knowledge or cleverness" approach I would probably use is multiply both sides of the equation by x(x+1)(x+2)..(x+n), then try to prove that identity by induction.
coarse tusk
The "no knowledge or cleverness" approach I would probably use is multiply both ...
Yes that is what we were told to do
I don’t like induction though
But thanks!
dense rain
Are you even listening to yourself and recognize how frustrating you are, by being given an explicit method you were told to do, then instead you come up with the beta function, but you don't want to use the beta function, and somehow defend all of this by saying the integral was interesting, which of course it is, it's a special named function, which you didn't want to use after all?
coarse tusk
Are you even listening to yourself and recognize how frustrating you are, by bei...
I know sorry
Just thought I had an interesting idea so I wanted to explore it, and I know induction can be used to prove this
It is a good solution and what we were told to do just wanted to know if there was some other way
Pfd answered my question
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lucid mulch
Can someone help me with this task, I can't even draw a sketch? The two altitudes of a rhombus, constructed from obtuse angles, divide each other into segments with a length ratio of 1:2. Calculate the angles of the rhombus.
topaz sinewBOT
Can someone help me with this task, I can't even draw a sketch? The two altitude...
outer portal
Can someone help me with this task, I can't even draw a sketch? The two altitude...
did you figure this out
lucid mulch
No
outer portal
the two altitudes of a rhombus Im guessing look like this
you think you want to try this out now or have me continue
lucid mulch
Can you continue
outer portal
theres a couple of properties you can use about these altitudes that you can justify by symmetry
for one, both altitudes are equal in length
another is that AC is a line of symmetry through the shape
also the two thin "red" triangles are congruent
imagine the intersection point is G, I mean that ∆DFG is congruent to ∆BEG
now they happen to tell you that the length ratio is 1 : 2
that would mean FG : GB = 1 : 2 and EG : GD = 1 : 2
try labelling side EG and FG to be 1 for convenience
from this, you can find the other lengths along the red lines
and then recognize that the lengths you have are familiar
you think you can continue from here?
outer portal
I don t know
whats your progress so far
outer portal
whats the length of GE
outer portal
try labelling side EG and FG to be 1 for convenience
cmon
G is where the two dashed lines intersect
lucid mulch
I got it, thank you so much
outer portal
???
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outer portal
np
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wind loom
M and m are the maximum and minimum value of a+b+c, with a,b,c natural numbers that satisfy :
ab+bc+2ca = abc + c + a + 2
Find 10M+m
topaz sinewBOT
M and m are the maximum and minimum value of a+b+c, with a,b,c natural numbers t...
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neon iron
You can get (a-1)(b-2)(c-1)=(a-1)+(b-2)+(c-1) so you have three integers whose product equals their sum
I think you can show that the largest possibility for those integers is 1, 2, 3 which gives a=2, b=5, c=3
wind loom
i found that m = 2+1+1=4
Is this correct?
neon iron
Yeah
Could only be lower when a=b=c=1 because they are natural numbers but that doesnt satisfy the equation
wind loom
Suppose n be in the set {1,2,…,100}
so (n^2 + 10)^2 is not quartic of an integer. Find all n
neon iron
I think that (n^2+10)^2 is never a quartic
Because if it is a quartic then n^2+10 has to be a square
But modulo 4 thats not possible
wind loom
Because if it is a quartic then n^2+10 has to be a square
So 1<= n <= 100 is the answer?
Which is 100
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sour geyser
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neon iron
Among four friends, A owes money to B, B owes money to C, C owes money to D, and D owes money to A. A,B and C; When each of them gives 60 money to D, no one owes anything to anyone.
B's debt to C is 5 times the debt D owes to A
How much money does C owe to D
topaz sinewBOT
Among four friends, A owes money to B, B owes money to C, C owes money to D, and...
neon iron
@restive inlet
topaz sinewBOT
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neon iron
@eternal wing
restive inlet
don't ping random users
and the scenario doesn't make much sense
neon iron
sorry about the ping
trim jasper
it feels like youre missing some info
neon iron
really?
restive inlet
i.e. has is something like A's debt to B wiped
when A doesn't give any money to B
neon iron
it's the whole question tho
trim jasper
like you can make an equation but it would have two variables, with one equation adding to 180
when d gets 180, no one owes anything to anyone
restive inlet
unless they're doing stuff like paying off someone else's debt
trim jasper
Among four friends, A owes money to B, B owes money to C, C owes money to D, and...
debt D owes to A = Y
B's debt to C is 5 times the debt D owes to A = 5 Y
trim jasper
when d gets 180, no one owes anything to anyone
information required is definitely in this sentence
neon iron
x is A owes to B
y is B owes to c
z is c owes to d
w is d owes to a
trim jasper
x is A owes to B
y is B owes to c
z is c owes to d
w is d owes to a
B owes to c is 5W
neon iron
yeah
trim jasper
x+y+z+w=180?
you will never be able to solve that
trim jasper
i dont know
neon iron
.......
tawdry dagger
try setting up some equations for the debts
long stirrup
C owes x to D
then B owes x−60 to C
then A owes x−120 to B
then D owes x−180 to A
neon iron
huh?
long stirrup
that's what they're saying
neon iron
C owes x to D
then B owes x−60 to C
then A owes x−120 to B
then D owes x−180 to ...
i don't get it
long stirrup
A,B,C owe 60 more than they are owed, while D owes 180 less
they just expect you to get it idk
neon iron
x is A owes to B
y is B owes to c
z is c owes to d
w is d owes to a
this type of approach doesn't work?
long stirrup
it probably also works
long stirrup
i don;t think it's 180
long stirrup
i know it's 480 becaus i already found x
neon iron
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terse ingot
Can someone help me? I dont understand what the derivate of 3^x is
terse ingot
topaz sinewBOT
ivory sorrel
try deriving it from first principals
terse ingot
ivory sorrel
recall that the limit of a^x-1/x at x =0 is ln(a)
terse ingot
Yes i dont know..
terse ingot
.
ivory sorrel
use the limit definition of the derivative
terse ingot
Okay will search an explanation on that
still dont get it
maybe cause there isnt an explanation in my native language
ivory sorrel
what's you native language maybe someone here can help in that language
terse ingot
dutch
ivory sorrel
ping helpers, maybe someone can help
terse ingot
<@&286206848099549185>
tawdry dagger
hi
terse ingot
hi
restive inlet
consider: $$3 = e^{\ln(3)}$$
thorny flameBOT
ℝαμΩℕωⅤ
terse ingot
hm yes
restive inlet
and you can use that to differentiate 3^x using expontial chain rule
(and more generally, a^x)
terse ingot
they didnt use the chain rule in the first half wait
restive inlet
chain rule is everywhere
void crow
yes
terse ingot
Yes but what do i do with the x?
terse ingot
ln(3)^(3^x)
yes..
restive inlet
did you consider what i mentioned above
terse ingot
its a differentiation rule
My book only explained the basics
restive inlet
consider: $$3 = e^{\ln(3)}$$
this leads to $$3^x = e^{\ln(3)x}$$
terse ingot
Like 2x is 2
thorny flameBOT
ℝαμΩℕωⅤ
terse ingot
So i dont know what kind of rules there are
restive inlet
chain rule is one of the first things they should teach you,
its also present in that ss you posted
void crow
chain rule is one of the first things they should teach you,
its also present in...
which q are u talking about
restive inlet
the one with a worked solution
restive inlet
not really
void crow
kinda yea
void crow
yeah
but chain rule is still pretty simple
it looks tough in that ss tho
imo
why tf would they use 0.5 instead of 1/2
terse ingot
I just need to remember this?
restive inlet
do NOT be lazy with ditching the d/dx operator
void crow
I just need to remember this?
pretty much
terse ingot
.rotate
terse ingot
pretty much
Aha okay
void crow
,rotate
thorny flameBOT
restive inlet
you wouldn't say
2 = 0
would you?
terse ingot
i would haha
void crow
if you have to differentiate $a^x$, you simply just say \frac{d}{dx} a^x = ln(a)(a^x)
restive inlet
have you applied chain rule or been taught about it in any way before?
restive inlet
yes
restive inlet
consider: $$3 = e^{\ln(3)}$$
this leads to $$3^x = e^{\ln(3)x}$$
terse ingot
,rotate
terse ingot
Look at the yellow box
restive inlet
try applying the chain rule to differentiate
$$e^{\blue{\ln(3)x}}$$
thorny flameBOT
ℝαμΩℕωⅤ
restive inlet
consider doing a sub like
$$u = \ln(3)x$$
if you feel the need
$$\dv{y}{x} = \dv{y}{u} \dv{u}{x}$$
thorny flameBOT
ℝαμΩℕωⅤ
restive inlet
that's converting between radical and exponential form
(no differentiation is happening in that step)
terse ingot
Yes but later on
restive inlet
power-chain rule
restive inlet
that was from the power rule
terse ingot
But they are using it 2 times like there
terse ingot
Yes
terse ingot
Power rule?
restive inlet
yes
terse ingot
Ohh isee
restive inlet
its the deriviative rule for differentiating power functions
terse ingot
Cause that is what you do with differentiate?
restive inlet
i don't know what you mean
thorny flameBOT
void crow
what you did there
restive inlet
again don't be lazy with not writing d/dx
terse ingot
again don't be lazy with not writing d/dx
yes sorry
restive inlet
i WILL make an extreme effort to point it out everytime until you stop
terse ingot
2 * 2 = 4 minus 1x so 4x
void crow
so $\frac{d}{dx} an^x = axn^(x-1)$
restive inlet
yeh, the new power 1 is the result of 2-1
restive inlet
similarly for your question
void crow
2 * 2 = 4 minus 1x so 4x
yes
restive inlet
-0.5 is the result of 0.5-1
terse ingot
Yes
void crow
yea
restive inlet
that gets simplified with all the other parts being multiplied
terse ingot
Yes..
void crow
it came to the front
restive inlet
which they did
terse ingot
So multiplied by 1
restive inlet
wdym
void crow
it basically states
restive inlet
multiplied by 1
void crow
mhm
restive inlet
do you mean that the 2 * 0.5 simplifies to 1?
or are you just unnecessarily stating multiplication by 1
terse ingot
can u state the chain rule real quick
Uhm
terse ingot
i only know what to do dont really know what it is?
restive inlet
i've typed out one form above
void crow
$x^2(x-1)^2$
thorny flameBOT
sin
void crow
THANK U
terse ingot
Oh aha
void crow
how did u get that?
restive inlet
its wrong
void crow
how?
terse ingot
Uhm i differentiate the x^2 into 2x and took the ()^2 and multiplied it with 1
restive inlet
well you're starting with something of degree 4,
the stated result is only degree 2
which makes it immediately visibly wrong
terse ingot
Oh wait
void crow
hmm
restive inlet
that's not how chain rule works
other rules were violated too
restive inlet
there is a way to use chain rule
terse ingot
Okay wait let me see
void crow
isn't it just better to use product rule?
void crow
uv' + vu'
restive inlet
probably, doesn't mean you can't use chain rule
void crow
why overcomplicate it
and teach him how to do it with chain rule
it will be pretty confusing
void crow
Okay wait let me see
do you know the product rule?
thorny flameBOT
void crow
do you know the product rule?
?
void crow
alright perfect
terse ingot
That is the product rule right
void crow
so it basically states that
terse ingot
.
void crow
if you have uv
restive inlet
chain rule would be required after product rule, like in the other examples
(it just won't be entirely clear whether if it was considered here)
void crow
you differentiate u
then v
get u' and v'
then use the formula: uv'+vu'
in my example
thorny flameBOT
void crow
$x^2 = u, (x-1)^2 = v$
thorny flameBOT
sin
void crow
yeah im tryna make it easier for u
restive inlet
following the notation in your book
$$f(x) = x^2, g(x) = (x-1)^2$$
thorny flameBOT
ℝαμΩℕωⅤ
void crow
it is kind of a complicated question since
terse ingot
**ℝαμΩℕωⅤ**
dont think that is the notation
void crow
ill show u how give me a second
restive inlet
dont think that is the notation
your book is literally using f(x) and g(x)
restive inlet
that's for the example given to you
thorny flameBOT
terse ingot
.
void crow
lets come back to this
similarly in this question, both product and chain rule would be used.
terse ingot
yes
void crow
$2 . (3x-1)^($\frac{1}{2}$)
terse ingot
void crow
you don't understand that part?
terse ingot
i only dont know how
to get this now
terse ingot
you don't understand that part?
yes
terse ingot
you don't understand that part?
fikrst part is clear now
first part i do understand so this one
void crow
hold on
void crow
but the fraction one i dont
well
when a power is in the denominator
when it comes to the numerator
it becomes negative
thats an exponent rule...
terse ingot
yes i know that
thorny flameBOT
terse ingot
i try to understand wiat
terse ingot
okay where does the 3 in the numerator comes from
void crow
oh the three?
terse ingot
yes
void crow
you differentiate $(3x-1)^-0.5$ by chain rule
terse ingot
oh wiat
thorny flameBOT
sin
terse ingot
no i see
void crow
mhm
terse ingot
is because wait
void crow
mhm?
void crow
yes
terse ingot
Yes i got it
void crow
perfect
terse ingot
Thank u very much!
topaz sinewBOT
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compact sequoia
topaz sinewBOT
compact sequoia
I think im interpreting this question wrong
Cause I’m only going from 0-5 so I have 2(7-4)
6
Ignore the 9 I used 6 and tried it for shits n giggles
keen venture
The bars are the absolute value function
keen venture
Also, why multiply by 2?
compact sequoia
Uhhh
Form given by video didn’t realize earlier
Alright so it’s abs value
Of 7-4
Yeah that dosent make sense
keen venture
No it's the integral of the absolute value
We care about the effect of the absolute value function:
Every negative area will flip over the y-axis, and become a positive area
topaz sinewBOT
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viscid slate
hello
viscid slate
i just dont understand anything
one of those triangles area is 18 i think
those rectanglualr faces are 54
i dont understand what to do
<@&286206848099549185>
slate bronze
Equilateral triangle so all sides equal
So area of rectangle will be 9x6
The prism has 3 rectangular faces
3xarea of one rectangular face
viscid slate
54*3=162
slate bronze
What do u not understand?
topaz sinewBOT
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viscid slate
i did 3/8
craggy haven
that it's not a flying mammal
abstract wadi
Might wanna pay attention to the word mammal there.
topaz tulip
why does this laplace transform get e^-2(s+5)
topaz sinewBOT
why does this laplace transform get e^-2(s+5)
topaz tulip
what did they combine?
topaz sinewBOT
@topaz tulip Has your question been resolved?
neon iron
What does the upside triangle functions represent?
topaz sinewBOT
What does the upside triangle functions represent?
neon iron
Its it the same as delta?
or average rate
the gradient
oh no
it's an operator, often referred to as del or nabla (the symbol)
Oh yeah
Thank you! ( i have not learnt about gradients yet )
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willow cliff
Hello
willow cliff
Can someone tell me the name e(x) v(x) and that weird thing so I can look it up its statistics
tiny oracle
oh no
It pretty much says that we want to find minimal or maximally by looking at points where gradf=scaled up gradg
Ex?
Thats is the expectation of some variable
tiny oracle
E(x) usually is the mean of random variable and it is the expected value after many many iterations
Gaussian*
When we have a sum symbol along with x and f(x), that is basically the discrete definition of expectation. We take the sum of all x with its output and add them all up
We can also have an integral in the continuous case
tiny oracle
F(x) is given to you
They gave the probably mass functions
You have an x and a pmf, so you can find the expectation by summing them, x and y pmfs respectively
willow cliff
which one is the pmf
why does e(x) = x *f(x)
what does E(x) stand for
what does v(x) stand for
and what does meu represent
tiny oracle
E(x) is simply because we multiply each value by its probability
The probability is a function that takes the value and spits some number between 1 and 0
So the probability of each value scales the value itself and tells us how probable it is. Then we add all these terms up and find the expected value for the variable x.
topaz sinewBOT
@willow cliff Has your question been resolved?
topaz sinewBOT
@willow cliff Has your question been resolved?
topaz sinewBOT
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west thorn
Hello. Got a weird question that I don't know if there's an answer, or how to correctly ask.
On the bottom Venn diagram. How can I write the shaded part of B? Is there some simple way to write it as I would complement of A, where I draw a line over the A.
topaz sinewBOT
Hello. Got a weird question that I don't know if there's an answer, or how to co...
west thorn
I would like a letter or something to represent only the shaded part. Ones only in B and are out of B∩A and B∩C
west thorn
ohh thanks. hadn't learned that yet!
i even made up some symbol just so i could write it haha
thanks!
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topaz sinewBOT
topaz sinewBOT
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dull quail
Hello, I am doing a proof in multivariable calculus using the epsilon-delta definition and I am stuck here
topaz sinewBOT
Hello, I am doing a proof in multivariable calculus using the epsilon-delta defi...
dull quail
I recall from earlier calculus that I could set the distance to be 1, but in this case there's x and y so not sure how to tackle that
sweet shard
polar coordinates might help
dull quail
Uhh can this be done without the use of polar coordinates? I do not recall this being brought up
sweet shard
Uhh can this be done without the use of polar coordinates? I do not recall this ...
Polar coordinates is something you learn before calculus
topaz sinewBOT
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nimble olive
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nimble olive
) Find ALL vectors orthogonal to the plane P : ~x (s; t) = s (0; 2; 3; 0) +
t(0; 3; 4; 0). What geometrical object does they represen
so this is a hyperplane?
do i do dot product of those twovectors?
worthy storm
so this is a hyperplane?
well it'll be a subspace, of what dimension?
nimble olive
well it'll be a subspace, of what dimension?
i dont understand do you mean 4 dimensional?
do i just put this into a rref
]d
topaz sinewBOT
@nimble olive Has your question been resolved?
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@nimble olive Has your question been resolved?
nimble olive
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vernal rivet
topaz sinewBOT
vernal rivet
how do you find initial velocity without an angle?
keen venture
They're asking for the magnitude of the vector
vernal rivet
oh
pseudo sonnet
you can also find the angle using tan(vy/vx)
elder terrace
How do I even do this
topaz sinewBOT
How do I even do this
loud oasis
use the definition of the derivative
loud oasis
try to get it as close as possible to the form shown in the hint
loud oasis
you're done now
elder terrace
It says the answer is 8to the power of x loge8
loud oasis
you can use log rules to put the 3 in the exponent
fast saddle
can someone explain why Im wrong and how to fix
topaz sinewBOT
can someone explain why Im wrong and how to fix
fast saddle
I flipped row 1 and 2
then divided row 1 by 4
then multiplied row 1 and added to row 2
to get the row reduced form
keen venture
Try the opposite order. That is, swap E1 and E3
topaz sinewBOT
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whole sleet
topaz sinewBOT
whole sleet
I hate these types of problems
I always get lost on when to flip and subtract etc
So like
Let me show this work
Brb 2 mins
Is there like a rule that i can follow that help me with all these types of problems cuz i feel like there is too many scenarios
Specifically these rational ones
Like i want to just flip everything but idk
I will just flip everything thats not a negative and post an updated shown work
topaz sinewBOT
@whole sleet Has your question been resolved?
severe lichen
A central angle of a circle with radius 150 cm cuts off an arc of 200 cm.
severe lichen
so i wanna find the area of a sector with that central angle
my radian measure is 900/3pi and degree measure is 95.49
i plugged everything in for A = (1/2)r^2(theta)
150^2/2 * 900/3pi
i got 10,602,875.21
is this sum correct it just seems impossibly large lol maybe im overthinking
topaz sinewBOT
@severe lichen Has your question been resolved?
severe lichen
<@&286206848099549185>
topaz sinewBOT
@severe lichen Has your question been resolved?
topaz sinewBOT
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eternal spoke
can l'hopital's rule only be used if direct substitution leads to an indeterminate form?
topaz sinewBOT
can l'hopital's rule only be used if direct substitution leads to an indetermina...
sweet shard
can l'hopital's rule only be used if direct substitution leads to an indetermina...
It's the limit is in indeterminate form
eternal spoke
,tex \frac{-10x+20}{3x^2-6x-4}
thorny flameBOT
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eternal spoke
hm
eternal spoke
It's the limit is in indeterminate form
so if i can use direct substitution and not get an indeterminate form
then i cant use l'hotital's?
sweet shard
No I didn't say that
eternal spoke
i have this limit
i was wondering if i can just use l'hopita's twice in a row
(-10x + 20) / (3x^2 - 6x -4)
-10 / (6x-6)
and now when i plug in 4 i get the wrong answer
sweet shard
(-10x + 20) / (3x^2 - 6x -4)
This isn't indeterminate form
eternal spoke
sweet shard
No I didn't say that
.
sweet shard
There's a limit expression here
sweet shard
That's correct
topaz sinewBOT
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warm vector
hi, i need help with this . It says solve a system of linear equations
pearl peak
write as a matrix and use gaussian elimination
warm vector
ok thanks
inner drum
I want to find X but when I put the function in cymath it tells me that I need x to find x ? why
https://www.cymath.com/answer?q=(S-0.5)%3D(SX)%2F((sqrt(k%2BX^2)))%3AX
but if I put values in the function it found X
https://www.cymath.com/answer?q=(50-0.5)%3D(50X)%2F((sqrt(41%2BX^2)))
topaz sinewBOT
I want to find X but when I put the function in cymath it tells me that I need x...
rigid ivy
!original
topaz sinewBOT
Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.
inner drum
I want to find X
and I need x to find x?
but if I put value it finding me the x value
lusty frigate
Whats the goal?
lusty frigate
can you post what you did
inner drum
I don't really know what am I doing
I got 2 parameters and I want to create a function that find x by using those 2 parameters
I want the K and S to be > 0
is it possible to find x? I only use S and K as a positive number
The definition area is x > 0
I mean I am trying to find x 😦
can I add conditions?
I don't know 😭
sweet shard
The fuck
sweet shard
Why are you making it harder to look for your question
sweet shard
Please show the original problem, **exactly as it was stated to you**, with the ...
You need to do this
inner drum
the problem is that I creating a 2D game and I want to find a formula that will help me calculate X for S > 0.5 and K > 0 and found the value of X when y = S - 0.5
sweet shard
There's no y here
sweet shard
There's no y here either
inner drum
I mean like y of collition between two functions
sweet shard
There's only one function here
inner drum
inner drum
There's only one function here
I meant like this
inner drum
There's only one function here
I am so so so sorry it's just my head thinking so much
sweet shard
From here you can square both sides to get rid of the square root
Then multiply by (k+X^2)
The rest is algebra to solve for X
Do those first two steps then show what you get
inner drum
inner drum
you right
sweet shard
a = b implies a^2 = b^2
inner drum
you are the king I was so unfocused thank you
sorry it suppose to be -Sk + 0.5k not - 0.5k right?
sweet shard
,w solve for x in (s-1/2)=sx/sqrt(k+x^2)
thorny flameBOT
sweet shard
Numerator looks wrong
Oh wait no
Oh there are two solutions because of the square
After you take the square root, you'll get 2 solutions
x^2 = a implies x=sqrt(a) or -sqrt(a)
sweet shard
Yea you have a sign error somewhere
inner drum
(SX)^2 and not SX^2
sweet shard
It looks like you'll always get 2 solutions for x for your given range of K>0 and S>1/2
topaz sinewBOT
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wintry coyote
topaz sinewBOT
wintry coyote
do i just do 2-1 for the first one and plug that in for t and so on
placid veldt
(X+Y)/2
half edge
Y(t) = 16t - 1.86t^2
placid veldt
Plug in for difference in height and divide by time period
wintry coyote
that's t
0.5
i plugged that in
and divided that by 0.5
it was wrong for some reason
placid veldt
f(2) - f(1) / 2-1
That's distance travelled vertically divide by the time it took to do so
v = d/t
wintry coyote
aight i'll try that
placid veldt
Lmk
wintry coyote
cus what i did was subtract and then plug that into one f(x)
instead of plugging in the two values into two f(x)s
and subtracting then dividing
yeah i'm getting different results now hopefully theyre' right
placid veldt
Yeah no cuz the equation is quadratic and hence different differences at different intervals of the same period
So average velocity at 0-1 may be different from that at 4-5
Even though they're both 1 second
If you do the subtraction beforehand you fail to consider that
@wintry coyote was that right?
wintry coyote
I'm checking