and even a smaller value of b
#help-23
sonic sail
novel magnet
bruh 😆
novel magnet
ye but if i put 12 for b the equation will become undefined
because it would be divided by 0
right?
sonic sail
the idea is to use smaller and smaller values of b so that you can find out what the slope of tangent line is without actually caring about the tangent line
you can still make b smaller than 12.0001
what if b=12.0000001 or b=12.00000000000000000000001
then you should have an idea what the slope would be right
look at the last three slopes
they are all negative and if you go top to bottom the number increases yet it doesnt go above 0
do you think the number they approach is above zero
if not what is the greatest number less than any number greater than zero
novel magnet
if not what is the greatest number less than any number greater than zero
0.000000001
inifnite 0
:/
sonic sail
thats impossible
novel magnet
then you should have an idea what the slope would be right
it would just be -0.00000016
sonic sail
theres no decimal with a infinite number of zeros and ending at 1
but the slope can go much higher than that
sonic sail
do you think the number they approach is above zero
answer this first
novel magnet
no
sonic sail
if not what is the greatest number less than any number greater than zero
so what
0.01 is greater than zero
so is 0.000000001
so is 0.000000000000000000001
novel magnet
yes
sonic sail
so what is the greatest number less than any positive number
sonic sail
but -0.000001 is greater than that
novel magnet
yes
sonic sail
so is -0.000000000000000001
novel magnet
bruh
sonic sail
there are infinitely many numbers greater than -0.01 and -0.000001
youre forgetting one simple number
novel magnet
hmm
sonic sail
think of integers
novel magnet
-1
sonic sail
so what is the greatest number less than any positive number
this greatest number is actually an integer
but -0.01 is greater than that
novel magnet
;-;
sonic sail
im sure you can think of nonnegative integers yes
nonnegative literally means not negative
novel magnet
1
sonic sail
so either positive or ?
sonic sail
but 1 is a positive number
0.000001 is less than that
we need a number that isnt positive nor negative
to satisfy the condition
not negative cos you can always find a number slightly greater than the negative number you choose
not positive cos you can always find a number slightly less than the positive number you choose
sonic sail
yes
novel magnet
how would 0 make sense tho
sonic sail
any stationary object has a zero instanteneous velocity
sonic sail
its a bad idea to find slope of tangent line using that method generally speaking
sometimes the table doesnt include a value that is way greater or less than all other values in table
so your answer could be very far from the right one
sonic sail
theres a thing in calculus called limits
novel magnet
s(tf)-s(ti)/tf-ti
sonic sail
and that table is maybe precursor to limits and derivatives
sonic sail
is this test
sonic sail
oh hw
novel magnet
ye
sonic sail
the keyword was there actually
next to answer box
integer
Type an integer or a decimal
if it was a decimal you could still go smaller or larger than the one you choose
but if it was an integer it would be more definite
sonic sail
you dont need to use equations here
youre asked to use the table
the interval [12 b] becomes single point 12 when b=12
sonic sail
that represents instantaneous velo
novel magnet
i needd sleep
sonic sail
yes
novel magnet
wait hold on
novel magnet
i did
sonic sail
look at your answer for b
you said that object has 0 instantaneous velo when t=12
and your answer 0 for c agrees with that
novel magnet
oh right
sonic sail
when the interval becomes single point t=12
novel magnet
okay i see it now
wait, instantaneous velocity means the average velocity when t approaches 0 right?
novel magnet
oh
sonic sail
instantaneous velo is taken at a single point in time
thats why its called instantaneous
safe radishBOT
Available help channel!
lean otter
I get to know that, for a series which is defined as $\sum_{n=1}^\infty f(n)$ only converges if $\lim_{n\to\infty} f(n) = 0$.
So, my doubt is that, why is this method not working in case of $\sum_{n=1}^\infty \frac1n$? The limit $\lim_{n\to\infty} \frac1n =0$. So according to this method, the series must converge but that's not true.
safe radishBOT
I get to know that, for a series which is defined as $\sum_{n=1}^\infty f(n)$ on...
flat frigateBOT
plucky elk
I get to know that, for a series which is defined as $\sum_{n=1}^\infty f(n)$ on...
"if" is not the same as "only if"
Example: I will bring an umbrella out only if it is raining
Maybe an english analogy isn't too helpful
Just think in terms of (statement 1) and (statement 2)
As well as implications
(statement 1) is "the series converges"
(statement 2) is "the limit of the sequence is zero"
Which implies which? Or do they imply each other?
lean otter
Yeah, they imply each other
mortal meteor
the fact, that the series converges implies that the f(n) converge to 0 but no the other way around
plucky elk
Yeah, they imply each other
you just pointed out that the 1/n converges, but the harmonic series does not.
lean otter
Yes
lean otter
I didn't understand
plucky elk
(statement 1) is "the harmonic series converges"
(statement 2) is "the limit of 1/n converges to zero"
does (statement 2) imply (statement 1) ?
lean otter
These both statements are incorrect
plucky elk
are you guessing?
lean otter
does (statement 2) imply (statement 1) ?
Umm... No, i think only statement 1 imply statement 2.
lean otter
are you guessing?
Noo, i know that 1/1 + 1/2 + 1/3 +... diverges
lean otter
That method is usually used to test for divergence rather than testing for convergence
When a limit is non zero of the summand, the given series diverges
plucky elk
right, it's not a test for convergence because the implication is false
lean otter
Yes ^
plucky elk
Umm... No, i think only statement 1 imply statement 2.
now go back up and apply this to your question
lean otter
That method is usually used to test for divergence rather than testing for conve...
So you mean if the limit is not equal to 0, then series will converge. But if it's 0, we cannot say about convergence?
Exactly
Due to the harmonic series case
Because it's inconclusive whether the series really diverges or not
When we're finding the limit, the last term is never equal to 0 in this case, but rather approaches 0. Due to this, the harmonic series very very very slowly shoots off to infinity.
Ohh
lean otter
When we're finding the limit, the last term is never **equal** to 0 in this case...
Thank you!
Yw ^^
.close
lean otter
what power of 4 is $4^{36}\cdot2^{18}$
safe radishBOT
what power of 4 is $4^{36}\cdot2^{18}$
flat frigateBOT
crabbo
lean otter
i have to compute $\log_{1/4} (32^{-18})$
flat frigateBOT
crabbo
thin bridge
why do you have to compute that monstrosity
crisp lodge
it will give you the answer, perhaps exponent rules will ease the process ?
hint, can you write 2^2 in powers of 4?
lean otter
hint, can you write 2^2 in powers of 4?
4^1
crisp lodge
Now, can you apply the same exact method to the exercise ?
lean otter
$4^{36}\cdot 4^6$
flat frigateBOT
crabbo
lean otter
4^42 is the answer
thin bridge
where's 4^6 coming from
lean otter
2^18=(2^2)^6=4^6
thin bridge
where's (2^2)^6 coming from
lean otter
exponent laws
thin bridge
what exponent law are you applying to get from
2^18 to (2^2)^6
thin bridge
how exactly are you applying
(2^a)^b=2^(a*b)
to get from
2^18 to (2^2)^6
(would really like NOT to have to keep asking these follow questions)
(i'm strongly implying that you done a algebraic mistake and expect you to find it)
lean otter
9
safe radishBOT
@lean otter Has your question been resolved?
golden lark
safe radishBOT
golden lark
I found the answer to a relatively easily, but I truly do not understand what b means? I'm super confused by the wording. Anyone get it?
like what material? how thin is it?
i've taken calculus already so maybe i'm overcomplicating? but wouldn't this need more info and some kind of integral?
.close
cerulean stream
If I have an item in a vending machine and I put in $1 then how do I calculate how many Q, D, N I get back? If the item was $0.15 then I would get back $0.85. How would I calculate the amount I get back of each coin?
safe radishBOT
If I have an item in a vending machine and I put in $1 then how do I calculate h...
inland ivy
Are you assuming the least number of coins possible
Or in other words the maximum number of quarters
Then the max number of dimes
Etc
Rather than having 15 dimes when you could separate it into 6 quarters
cerulean stream
Yes it would be the least number of coins
inland ivy
You could probably use some fancy remainder/modulus stuff
quarters = floor(money/0.25) would be the first step
Where floor gets rid of the decimals
Then you could say
dimes = floor((money Mod 0.25)/0.1)
cerulean stream
Ok thank you very much
inland ivy
And finally you could say nickels = floor((money Mod 0.1)/0.05)
I think that should all work
stray dew
thats a computer science question, have a look in #old-network
inland ivy
You wouldn't really say that's inherently computer science would you?
I'd call that just like logical statements
safe radishBOT
@cerulean stream Has your question been resolved?
stray dew
You wouldn't really say that's inherently computer science would you?
imo boolean algebra falls under computer science, no?
safe radishBOT
safe radishBOT
Available help channel!
lean otter
How do I solve this limit when denominator is 0?
safe radishBOT
How do I solve this limit when denominator is 0?
graceful tiger
you can use l'hopital
graceful tiger
it works with l'hopital
lethal musk
geometric proofs
graceful tiger
yes
lean otter
i SUCK when it comes to trigonometric functions
go do 100
lethal musk
I will send you a video
graceful tiger
yes please
vagrant pawn
in questions like these, how do you know which value to make (k+1) when proving by induction?
safe radishBOT
in questions like these, how do you know which value to make (k+1) when proving ...
vagrant pawn
like it's unclear to me why one would assume the A(n) case then prove A(n+1) instead of for example like A(t) and then proving A(t+1)
broken yew
You realise...
t is a dummy variable inside that integral
That statement has no dependence on t.
The only thing it has dependence on is n.
vagrant pawn
oh.
alright
what if i were to attempt to prove something like this?
would the statement depend on k?
merry swift
From the statement it doesn't seem like any of these variables are necessarily integers at all, so induction might not be useful. What's theorem 1.8?
vagrant pawn
vagrant pawn
what if i were to attempt to prove something like this?
oh, so I wouldn't be able to use induction for this?
vagrant pawn
ah i see, this says for all k not just integers
merry swift
yeah
vagrant pawn
but just for the sake of understanding, if k were to be an integer, I would prove A(k+1) right?
merry swift
if k was from an inductive set, you could prove the base case and prove that A(k) implies A(k+1)
merry swift
well this chat is taken so if you wanna move to a question channel take one that isn't
vagrant pawn
I might move this to this chat idk
vagrant pawn
if k was from an inductive set, you could prove the base case and prove that A(k...
alright thanks
.close
safe radishBOT
plain hedge
<#488120190538743810>
alright I will make a new chat then
safe radishBOT
Available help channel!
mortal ore
when we say that a matrix is linearly independent
safe radishBOT
when we say that a matrix is linearly independent
mortal ore
are we looking at rows or columns?
worthy hemlock
You can look at both
worthy hemlock
Yes
mortal ore
thank you @vagrant pawn
other than checking rows/cols, is there a better way to see if a matrix is linearly independent ? @worthy hemlock
worthy hemlock
Not that I can think of
worthy hemlock
Determinant can help you determine if the matrix is invertible
night temple
Given( 5, h ) is one of the solution for the simulataneous equation h(x-y)=x+y-1=hx^2-11y^2 . Find h
safe radishBOT
Given( 5, h ) is one of the solution for the simulataneous equation h(x-y)=x+y-1...
plucky elk
Did you plug in the point?
safe radishBOT
@night temple Has your question been resolved?
tacit sky
Hi guys can anyone help me out with this 2 questions i have no idea how to do this, do show me the steps too how to calculate thank you
safe radishBOT
Hi guys can anyone help me out with this 2 questions i have no idea how to do th...
thin bridge
which part of q3 did you get stuck on?
wispy shard
Hi guys can anyone help me out with this 2 questions i have no idea how to do th...
for Q2:
Split it into a geometric series and a sum of squares.
Do you know a general formula for the sum of squares?
(Hint: Consider the following:
$\sum_{k=1}^{n} (k+1)^3 - k^3 = \sum_{k=1}^{n} 3k^2 + 3k + 1$
flat frigateBOT
bm
safe radishBOT
@tacit sky Has your question been resolved?
next gulch
safe radishBOT
next gulch
,rotate
flat frigateBOT
thin bridge
copy and paste the input here
place it in between ` `
to keep the *
next gulch
SQRT((2*N32/(2*M32)^2+((2*I22*J22)/(I22)^2)))
next gulch
let me try
carmine dew
wow
next gulch
`SQRT((2*N32/(2*M32))^2+((2*I22*J22)/(I22))^2)`
i believe it worked !
thank you so much
thin bridge
note that there are colour codes to indicate which parentheses are paired
next gulch
note that there are colour codes to indicate which parentheses are paired
yeah that makes sense
E44*SQRT(2*E22*F22/(E22)^2+(N32/2*M32)^2)
so i would imagine this is correct in relation to this
,rotate
flat frigateBOT
thin bridge
what happens when you enter that into excel
next gulch
i get a value but it is not close to what it should be
thin bridge
show me the colours of the parentheses you see in the formula bar
thin bridge
in what you currently have
for the term on the left, only (E22) is being squared instead of whole fraction
and for the term on the right,
N32 is being divided by 2 and then multiplied by M32 (i.e. B/2 * C = BC/2 which isn't what you wanted)
you also used E22 for both y and A
next gulch
in what you currently have
for the term on the left, only (E22) is being squared...
so i have to put parenthese around the entire first portion of the equation
next gulch
you also used E22 for both y and A
yeah that was inteded i just wanted to show different constants with them
thin bridge
parentheses around whatever is supposed to be squared
thin bridge
theres still an issue for the right term
thin bridge
yes
next gulch
my value does look a lot better now
i just have to be careful dividing
but ty for the help again !!
thats all i needed for this lab calculations
.close
lean otter
In complex analysis, when do we change the bounds of separated integrals if there are more than one contour?
safe radishBOT
In complex analysis, when do we change the bounds of separated integrals if ther...
lean otter
is it going to be like
$\int_{0}^1 zdz+\int_0^1 zdz$ or $\int_{0}^1 zdz+\int_1^2 zdz$
flat frigateBOT
Cüneyt
safe radishBOT
@lean otter Has your question been resolved?
safe radishBOT
@lean otter Has your question been resolved?
safe radishBOT
@lean otter Has your question been resolved?
ruby phoenix
hi how can i solve this limit pls
safe radishBOT
hi how can i solve this limit pls
split ether
No time to check this but what I'd try first it decomposing the fraction into two fractions, one having sqrt(2x + 1) - x on nominator and the other having -(sqrt(1 - 2x) - x) on nominator
ruby phoenix
thanks. i ll try this
ruby phoenix
we still didnt do that
humble venture
yea ignore then
split ether
No time to check this but what I'd try first it decomposing the fraction into tw...
Oh wait nvm that can't be justified, just realised
ruby phoenix
Oh wait nvm that can't be justified, just realised
i tried it but it didnt lead to anything
crisp lodge
a maclaurin expansion might be relevant?
ruby phoenix
its not smth i know
split ether
How about L'Hopital's rule?
crisp lodge
How about L'Hopital's rule?
oof, that would be nasty
safe radishBOT
@ruby phoenix Has your question been resolved?
ruby phoenix
did you get to the result by rationalizing ?
safe radishBOT
@ruby phoenix Has your question been resolved?
ruby phoenix
anyways im closing this because i just solved it
it was unfortunately really hard for yall 🤣🤣🤣😂😂😂😂 losers
.close
tacit berry
hi
tacit berry
I don't understand the step with partial fraction in this video (timestamp included)
How does it work?
lean otter
I have no clue how to do the base case for this problem. What interval on the reals do I choose for a sequence of n numbers between those reals?
I included my attempt but I don’t think it’s right
queen cave
How do i recognize a difference of squares easily?
safe radishBOT
How do i recognize a difference of squares easily?
queen cave
is it just when i see x^2 and something that could be squared?
inland ivy
x^2-something that can be square rooted
For a whole number
So for example x^2-9 which is x^2-3^2
split ether
Anything can be represented as a square of a number (as long as that anything is not negative)
You can use difference in squares even in x^2 - 2
queen cave
x^2-something that can be square rooted
ah thanks
queen cave
*Anything* can be represented as a square of a number (as long as that anything ...
In this case, is it just... x^2 - 2^2?
oh wait hold up
split ether
I said x^2 - 2
split ether
(x - sqrt2)(x + sqrt2)
vestal seal
safe radishBOT
pulsar condor
how did you get that?
oak summit
Almost
vestal seal
I moved the 7 over first
pulsar condor
right, giving w-7=-sqrt(g)
vestal seal
no i always thought of it like
going backwards from bidmas
and just
moving things over
if it was
g-7 or 7-g
i thought it was the same thing
but anyways
so it would be w-7?
= square root of g
pulsar condor
sure, won't help you get g= though
flat frigateBOT
Mosh
pulsar condor
read what I just wrote
and you'd see the answer.
you square both sides to get rid of the sqrt
pulsar condor
why?
vestal seal
ive legit just tried that
pulsar condor
don't know what to tell you then.
thin bridge
try
g=(7-w)^2
lean otter
At 9:02-9:30 in this vid is there a way to solve the limit of the piecewise function algebraicly? It seems more mathematical to me if done algebraicly than from plain observation.
safe radishBOT
At 9:02-9:30 in this vid is there a way to solve the limit of the piecewise func...
crisp lodge
At 9:02-9:30 in this vid is there a way to solve the limit of the piecewise func...
yea, side limits
x->-a x->+a
-a +a denote direction of approach not sign of number
lean otter
safe radishBOT
lean otter
the solution says make the substitution a=x+y
b=y+z
c=z+x
i do see how it unfolds
but the idea of substitution doesnt make sense
lean otter
oh im not asking for another way
i just wanna know why and how this substitution works
seems kinda abstract
weak dirge
It might have to do with the satisfying condition
I’m not entirely sure though
Wait I think I see it
Do you know how to solve this?
Yeah it’s really just a very creative solution
I personally don’t think I would come up with it
But it works very well
lean otter
Do you know how to solve this?
yea
weak dirge
So if you substitute it in the satisfying condition
You get x+y+z=1
Which you can use to substitute on the denominator
lean otter
ik how it works out
weak dirge
Okay idk what you’re asking then
lean otter
but the idea of substitution doesnt make sense
.
like this substitution doesnt make sense
weak dirge
How does it not make sense
lean otter
like how are we even allowed to do this
a=x+y
b=y+z
c=z+x
like the way all of them are constrained
weak dirge
I mean fundamentally you can substitute for whatever you want, the important part is that there are three independent variables
weak dirge
Define constrained
weak dirge
Yeah but like they’re independent? In terms of the equation?
If you make a matrix it should be evident
weak dirge
The three sets of equations for abc are independent
lean otter
If you make a matrix it should be evident
lean otter
The three sets of equations for abc are independent
i dont get u
weak dirge
Independent may not be the right word I’m still in bed
Theyre just not dependent
It’s still R3
lean otter
what isnt dependent?
weak dirge
Are we talking about the satisfying condition or the substitution
lean otter
now im saying that x,y,z are dependent variables
weak dirge
Regarding the substitution, they are not which is what makes it possible
No matter what 3 variables you have, you can perform this substitution
The question is just the question, obviously an R3 span is a trivial
lean otter
and i lost u there
solar dock
safe radishBOT
solar dock
I got to the second matrix, how do i solve for h i dont understand
if rank A is equal to Rank C, why is h = 2 wrong and 7-2h = 0 right?
drowsy moss
The rank of A is not 2?
solar dock
oh ye i kinda choked now i understand where are tring to to get the entire second row 0 so it can be a consistent matrix
.close
safe radishBOT
safe radishBOT
Available help channel!
shy moss
i need help on this question
safe radishBOT
i need help on this question
shy moss
plucky elk
Do you have any equations or expressions so far?
shy moss
no
plucky elk
Let x be the number Roxy is thinking of
shy moss
ok
shy moss
one min let me write that down
yep i wrote it down
ok and now what can our second expression be
@plucky elk hello...
<@&286206848099549185>
plucky elk
Can you narrow down the values for x?
Write down a similar inequality for the next sentence
plucky elk
Divide what?
shy moss
4 and 40
plucky elk
Ya
shy moss
so we can find what 1 x is
also one question
why did you right this downn <
????
for the expression
plucky elk
"less than 40"
shy moss
oh ok
thanks
also 1 x is 10
right
so that means rory is thinking of 10
?????????
@plucky elk
plucky elk
also 1 x is 10
4x < 40 not 4x=40
shy moss
oh ok
plucky elk
Is 4x < 40
plucky elk
When you divide inequalities, they stay inequalities
shy moss
right???
plucky elk
4*3 < 40 turns into 3<10 when you divide by 4
plucky elk
Stop pinging me
shy moss
ok
plucky elk
I'm just pointing out you keep the inequality
Instead of turning it into an equation like you did
plucky elk
so that means rory is thinking of 10
This was wrong
shy moss
so we would write 4x<10
plucky elk
so we would write 4x<10
Correct this
shy moss
cause we divided like you said
plucky elk
so this is what i got 1<10
There should be an x here
plucky elk
4x divided by 4 is ?
shy moss
1x
plucky elk
Good
shy moss
oh so now do we dived
plucky elk
1x < ?
plucky elk
Yes
shy moss
ok
plucky elk
Can you read the next equation and come up with an inequality?
plucky elk
Yup
plucky elk
Yea. 1x is the same as x because 1 times any number is itself
Can you read the next sentence and come up with an inequality?
shy moss
ok the nest sentence is that if the number is multipled by 7 it is larger than 50
so now for our inequality it is
..
7x=50
right or no
plucky elk
No, but close
shy moss
7x<50
shy moss
yes so would that mean 7x>50
shy moss
we need to divid
plucky elk
By what number
plucky elk
Slow down
Before, we divided by 4
Because it isolated x to one side of the inequality
4x < 40, divide both sides by 4, x < 10
7x > 50, divide both sides by ?, x > ??
plucky elk
Well if you divide 7x by 49, you get x/7 > 50/49
What does that tell you about x?
You want to isolate x on one side of an inequality
shy moss
so you put it to the other side
shy moss
wait so what should i write in my notebook
shy moss
oh ok
plucky elk
Always both sides
shy moss
1x>7
plucky elk
We don't want to change anything about the inequality
shy moss
ok
plucky elk
Plug into your calculator
plucky elk
Just understand that 50/7 is not equal to 7
plucky elk
So this is close enough to being right
shy moss
its basicly x
shy moss
yep
plucky elk
Can you review your notes to confirm
plucky elk
Do you know what a whole number is?
shy moss
one min let me sharpen my pencil
shy moss
Do you know what a whole number is?
yes a
ok back
so how can we but 7.1 to a whole number
plucky elk
You only need that x is larger
plucky elk
For whole numbers, x>7 is the same as x>7.1
plucky elk
Summarizing you know x < 10 and x > 7
Can you find whole numbers that satisfy both of these inequalities
shy moss
welll there is no number that they can go
small aspen
@shy moss Your about me is terrifying
plucky elk
Now of those, how many also satisfy x>7
shy moss
7
plucky elk
Summarizing you know x < 10 and x > 7
Again, we're doing this, but in two steps
7 is not greater than 7
shy moss
8
plucky elk
7 is equal to 7, but not greater than 7 and not less than 7
shy moss
9
plucky elk
That's all of them
shy moss
8 and 9
plucky elk
I think you can do the rest of the problem
plucky elk
Read and interpret
glad lava
Quick question: The identity element in the permutation group $S_n$ is just
1,2,...,n on both rows, right?
flat frigateBOT
beeswax
frigid geyser
assuming by that you mean the permutation that maps the top row to the bottom row, yes
pastel hamlet
@fading raft I forgot the rest of the problem lol
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<@!872024354572103731> I forgot the rest of the problem lol
fading raft
So the first one reads as
pastel hamlet
ah wait I messed it up
fading raft
What is the value the function x approaches as x approaches 1 from values less than 1
pastel hamlet
first one should be 3
fading raft
yh
fading raft
good
pastel hamlet
since it's from the right
fading raft
whats the third
pastel hamlet
and the last one does not exist
lean otter
Limit does not exist
fading raft
why
pastel hamlet
they're not equal
lean otter
Because right hand limit ≠ left hand limit
pastel hamlet
^
fading raft
good
lean otter
👍
pastel hamlet
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@amber hemlock Has your question been resolved?
verbal night
What is x+x^2=122872
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What is x+x^2=122872
red glen
What is x+x^2=122872
A quadretic equation
verbal night
What’s the answer?
red glen
What’s the answer?
Do you know quadretic formula?
red glen
Yes
red glen
$\frac{-b \pm \sqrt{b^2-4ac}}{2a}$
flat frigateBOT
BrownMunde
red glen
I’m stuck on the x + x^2 = 122872 part
Use this , here a is coffiecent of x^2, b is coffiecent of x and c is conatnt term
verbal night
What do we plug in for b
red glen
What do we plug in for b
a=1, b= 1 ,c= -122872
verbal night
Is this what it’s suppose to look like
Then do we add and subtract -1 from -61435.5
red glen
,w solve (x^2+x-122872=0)
flat frigateBOT
verbal night
Now what
verbal night
nope
red glen
Then this is tough
stable bobcat
So follow me here
We always need to put our everything on one side
And the 0 on the other
verbal night
I thought my version was ok too
stable bobcat
Well we don't use that
verbal night
Ok
stable bobcat
Always put your equation and make it equal 0
Now what we do next it
Think of the equation as
ax²+bx+c
For example
5x²-3x+2
here a is 5 b is -3 and c is 2
In your case, x² is multiplied by 1,
X also multiplied by 1
And c is the number itself which is -122872
Got it?
stable bobcat
a is the coefficient of the square, b is the coefficient of the variable and c is the constant
stable bobcat
The minus belongs to the coefficient not the x
So always, write your equation in that shape and leave 0 alone
And then get your a b and c
ax²+bx+c=0
And plug the numbers in the formula
This formula is equal to x
Got it?
verbal night
Yes
stable bobcat
You should try on some other equation to make sure.
I wouldn't say it's hard
Just requires some practice.
verbal night
Ok ok, I got you
stable bobcat
Sweet
Note that every quadratic equation gives two different solutions
Obviously
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@verbal night Has your question been resolved?
verbal night
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verbal night
Did my other work and now I’m back to this
oblique goblet
What’s the problem?
red glen
I’m not sure where to plug in the 350 or -351
Distance can never be negative
oblique goblet
I think it’s x + 22000, not x + 22
oblique goblet
Rip
But yeah you have the right idea, set up the quadratic, find the x values, and then like @red glen said, use the positive root because distance can’t be negative
verbal night
And then I plug in the positive solution to the x values then I get my answer?
oblique goblet
Yeah exactly
You have the exact process, just read the problem wrong (I do that all the time too, don’t sweat it)
verbal night
Oh ok thank you man
Thanks to everyone who helped
I have learned so much in the span of a couple of hours
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mystic hemlock
lim
x→−2+
mystic hemlock
Can anyone help me what does + stand for?
lean otter
Can anyone help me what does + stand for?
slightly greater than -2
mystic hemlock
slightly greater than -2
So does it have an effect or I should just give x -2
But it has effect on modules yes?
lean otter
So does it have an effect or I should just give x -2
it does depending on function
some discontinuous function may have other value at -2+(or right side of -2) and undefined or another value at -2-
take an example 1/x
its defined on x = 0+
but not on x =0
lean otter
But it has effect on modules yes?
doesn't affect the modulus since its on -2 and not 0
mystic hemlock
No i mean |x+2| when -2+
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mystic hemlock
Sorry but one more question
lim
x→0−
When it is like this and in 1/x how can i solve it?
lean otter
When it is like this and in 1/x how can i solve it?
its just -infinity
and for 0+ its +infinity
mystic hemlock
But when it is 1+ we can solve it yeh?
lean otter
yeah
mystic hemlock
its just -infinity
It doesn't matter what i have on numerator?
lean otter
It doesn't matter what i have on numerator?
just check the sign of numerator that's it
mystic hemlock
What if it is 0?
lean otter
then answer is 0
mystic hemlock
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verbal night
Can someone walk me through this problem
safe radishBOT
Can someone walk me through this problem
crisp lodge
Have you tried anything so far?
Is there anything specific that you don't understand ?
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@verbal night Has your question been resolved?
lean otter
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final loom
lean otter
final loom
:p