yes
#help-28
light sonnet
PEMDAS is the american way of saying BODMAS
digital chasm
i knew it haha
light sonnet
thanks the answer is correct but I'm not realy sure why
As I said before, it's because 7 * 3 is in the denominator so you need to group them
70 * 30/7 * 3
As mentioned that will do 70 * 30 then 2100/7 then 300 * 3
Because of order of operations
If you have 70 * 30/(7 * 3) then you need to do brackets first
So 70 * 30 / 21
Then multiplication/division from left to right
digital chasm
I was thinking 70 x 30 / 21
light sonnet
Yes that's what you were thinking but written out, you need to use parentheses
70 * 30/7 * 3
As mentioned that will do 70 * 30 then 2100/7 then 300 * 3
digital chasm
Because of order of operations
OH i understand now!
light sonnet
It's clear that your intentions were that 7 * 3 were in the denominator but if you written it out in a text format, you need to let people know that 7 * 3 is in the denominator by adding parentheses
digital chasm
Is it because I didn't do PEDMAS and parenthasses
light sonnet
Like I mentioned PEMDAS and BODMAS are the same, just different terms
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
BODMAS - Brackets, Order, Division, Multiplication, Addition, Subtraction
digital chasm
yeah I know that (i hope that didn't sound rude)
light sonnet
Is it because I didn't do PEDMAS and parenthasses
Try this, what if I asked you to calculate 3 * 4/ 9 + 3?
digital chasm
what does the order mean in bodmas again?
light sonnet
You're going to do what your first instinct is but for other people, it might be different because it's not clear on what the denominator is suppose to be
light sonnet
what does the order mean in bodmas again?
Basically exponents
If I gave you this 3 * 4/ 9 + 3
You would use order of operations and do 3 * 4 = 12/9 + 3 then 12/9 = 1.333 + 3 then add so 4.333
But what if I said it was suppose to mean 3 * 4/(9 + 3)? That's an entirely different answer, and by order of operations, you result in 3 * 4/ 12 = 12/12 = 1
digital chasm
Thank you! That makes alot more sense]
digital chasm
Basically exponents
Whats that?
digital chasm
Does this make sense?
digital chasm
rightt
light sonnet
Does this make sense?
Yes
But if you wanted to show full work, you should do (70 * 30)/(7 * 3)
Just think of the numerator and denominator having invisible parentheses
digital chasm
I multiply 7 and 3 and then do the question? like this: 70x30/21?
digital chasm
wait because there are 2 numbers multiplying together at the denominatior ( 7 and 3), you multiplied them to become 21 and could i do the samne to the numerator
light sonnet
if you wanted to show full work, you should do (70 * 30)/(7 * 3)
You want to start there if you wanted to show all the work
digital chasm
> if you wanted to show full work, you should do (70 * 30)/(7 * 3)
why didnt i have to do all that for question ** a)**? just wrote out the estimation and worked it out.
digital chasm
Just think of the numerator and denominator having invisible parentheses
I don't know how parenthesis work
light sonnet
It's just grouping the terms
upbeat ivy
does anyone see any pattern at all??!!
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does anyone see any pattern at all??!!
upbeat ivy
im losing my mind i've been trying things for like an hour. but it's supposedly a simply problem so i'm probably overlooking the obvious
soft axle
where is the question
soft axle
what's the authentication procedure
upbeat ivy
operation @ is conducted on x and y and you get z
7 @ 5 = 3. @ is arithmetic operations. what r the arithmetic operations.
i swear there is no pattern i'm losing my mind
hidden harbor
post the full instructions
upbeat ivy
i mean it's kinda long but i will hold on
hidden harbor
how do you expect us to understand anything without the instructions if you cannot with them?
upbeat ivy
how do you expect us to understand anything ***without the instructions*** if yo...
it's just finding the pattern...
raven yacht
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nimble needle
for 2 iii, i’m a bit confused if my answer is right
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for 2 iii, i’m a bit confused if my answer is right
nimble needle
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glossy valveBOT
gritty rose
But I think your answer is wrong anyway. k=0.126 will yield 2 roots
Try using the discriminant instead
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glad whale
where did the 0.8s come from?
like i know if i subtract the 8 i will have 8
but if i 0.2s - s i cant see how that equal 8
oh jeez
im a idiot
.close nvm
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shadow quest
I’m just a little confused about this
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I’m just a little confused about this
gritty rose
I’m just a little confused about this
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alpine marten
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alpine marten
im trying to solve by completing the square? would i use quadratic formula?
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tender skiff
11b
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tender skiff
<@&286206848099549185>
twilit leaf
Hi, the height of your second trapezoid should be 24
@tender skiff
Your first trapezoid*
Becuase it was accelerating at 3m/s/s for 8 seconds
So it should achieve a velocity of 3*8m/s by the end
tender skiff
Oh
tender skiff
Becuase it was accelerating at 3m/s/s for 8 seconds
Whydo igotta do that
twilit leaf
The velocity was increasing at a rate of 3 for 8 seconds
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teal epoch
how can i solve $$\cos\left(2\piΔfT\right)=\frac{Δf+2f}{2f}$$ for the smallest nonzero value of delta f?
glossy valveBOT
Bradley
teal epoch
or is that even possible?
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sacred crystal
for a the awnser would be 2 ?
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for a the awnser would be 2 ?
thorn ridge
$\lim_{x \to 0} f(x) \neq 2$
glossy valveBOT
Alti
thorn ridge
What does it look like the function's going to? Forget the hole.
thorn ridge
Hm. From the left side it's going to 2 and from the right side it's going to 4. What does it mean for the full limit if the one sided limits don't agree?
sacred crystal
diverge
thorn ridge
So the full limit doesn't exist. But you can answer c and d, because they're one sided.
thorn ridge
Jump discontinuity, limit doesn't exist as x goes to 2, yeah.
But the one sided limits do exist.
thorn ridge
Yep.
thorn ridge
sacred crystal
.close
hoary surge
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hoary surge
how to do 13.e
torn jolt
whats 20/8923?
torn jolt
Sorry
torn jolt
But what is 9+10?
hoary surge
21
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torn jolt
how do i do 13.e
write an equation
gusty rampart
Hello I'm kinda stumped as how I should proceed with this non exact differential equation
gusty rampart
left image is two of my attempts and right is where i'm at rn
bottom image was an incorrect submission
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thorn comet
this is more of a physics problem but has trigonometry factors so I was wondering if someone could help me figure out how to solve it
thorn comet
ik i have to figure out the horizontal and vertical components
but im not sure what to do after
sharp flame
Can you find at what time it hits the wall?
thorn comet
1.3s?
sharp flame
ah right
Then it's just a matter of using the equations of motions
Yes you will have to split it into components
thorn comet
is the 10ms the horizontal speed?
zenith falcon
no
sharp flame
I'd assume so
sharp flame
happens with the best of us
thorn comet
so 10ms is the horizontal speed?
zenith falcon
yeah
sharp flame
anyways uh I'll let you walk em through it
zenith falcon
well you just told them everything
i was just gonna say that you need to figure out when the projectile hits its peak height
you can calculate the verticle speed by comparing x/10 with tan35
zenith falcon
so if tan35 is like, idk 0.5, then 0.5 = x/10
zenith falcon
well yes
thorn comet
because tan35 = x/10
thorn comet
ohh
so if the vertical speed is 7ms
wait no
am i supposed to find the total distacne of the object too?
im rly confused
zenith falcon
i would assume so
as gravity would affect its velocity as well
actually
no
holy fuck what am I doing
you need to find out the initial velocity of the projectile
thorn comet
ohh ok
thorn comet
so 8.19ms
zenith falcon
(i hope you know what that means)
zenith falcon
nope
its only asking for velocity
but do find the peak height of the projectile
and the height at 1.3s
zenith falcon
or like, if it would cross the peak height
yeah but you need to write -g or +g depending on whether or not the ball is falling or still going upwards
thorn comet
wouldnt it be going down?
zenith falcon
not necessarily
it could be that its going up really slowly
but its still going up
so you would write -g
thorn comet
but i need to figure out the final velocity
thorn comet
but wasnt it launched from the top'
i mean to the top
so the gravity would be acting on it
downwards
zenith falcon
thats not how projectile motion works my guy
what if i threw it and it hit its peak height at 0.5 seconds
or 0.9 seconds
and now its going down
thorn comet
ohh
i kinda get that now
but v = u+at doesnt seem to work for the questions
i dont get any of the options
torn jolt
Resolve the velocity vector into its x and y components
it would be u_y = 10sin35 and u_x = 10cos35
add a -gt term for u_y since horizontally gravity is acting against it
torn jolt
thats when t = 0
torn jolt
okay my bad
zenith falcon
diagram again in just in case
thorn comet
what does the i and j mean?
torn jolt
unit vectors in the x and y directions
zenith falcon
i is the horizontal vector, j is the vertical vector
thorn comet
ohh
zenith falcon
dont worry about it
zenith falcon
v(t) = 10î + 10tan35-gt ĵ
wait but why 10sin35?
torn jolt
wait but why 10sin35?
we want to find the y component
thorn comet
wouldnt it be tan?
thorn comet
i think im the braindead one
i managed to get a negative answer
when that isnt any of the options
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torn jolt
help
flint sage
i got test soob
hey where do you need help?
torn jolt
i’ll dm u
acrually here
we can do it here
are these correct for 9 a b and c
is what i did correct
or no
@flint sage
<@&286206848099549185>
@flint sage
short bridge
is what i did correct
Doesn't seem like it.
First off, let me ask you this. Question says between 1 and 8. Are 1 and 8 included in the sample space or excluded?
torn jolt
wdym
what’s a sample space again
cuz 1 and 8 that’s a 2/8 chance
u can generate 1 or 8 2/8 times
short bridge
A sample space is the collection of all the possible outcomes.
torn jolt
and simplified 1/4
short bridge
I'm asking if calculator can even give 1?
torn jolt
wdym
short bridge
That might mean that number has to be BETWEEN 1 and 8.
torn jolt
so what
short bridge
Is 1 between 1 and 8 ?
short bridge
Then how can calculator give 1?
torn jolt
so it’s 1/8?
ignore b
for a
it would be 1/8 then
rihh g t
right
cuz 5 can be generated
short bridge
As i said, it depends. If calculator can give 1 or 8 - then your answer(1/4) is correct.
short bridge
If it can't, then 1/8 is correct.
short bridge
I can't guarantee. Book might just have written in confusing terms.
torn jolt
I can't guarantee. Book might just have written in confusing terms.
i can’t find the answers also
it’s not in the book
idk why
so i’m not sure
which to do
short bridge
Is it classwork?
torn jolt
no
short bridge
Or just studying on your own?
short bridge
Woah. Okay. Well, you get the concept. In exam, hopefully it'll be explicitly mentioned whether or not end points are included.
short bridge
For now, you can proceed in whichever one you wanna proceed with.
short bridge
but what’s a prime number
You should ideally be familiar with that. Primes come before probability, but anyway -
A prime number is such a natural number which is only divisible by 1 and itself. No other number divides it.
short bridge
Any positive natural number bigger than 1 which is not a prime is composite.
short bridge
so can u give example
Yes
For example - 2
It's only divisible by 1 and 2(itself).
Another example is 11.
Only divisible by 1 and 11(itself).
torn jolt
wdym by divisible
short bridge
That means that it is divided by the number fully. Doesn't leave any remainder.
2 divided by 1 is equal to 2. Remainder is zero.
torn jolt
ohhh
short bridge
2 divided by 2 is equal to 1. Remainder is zero.
short bridge
So, we say that 2 is divisible by 1 and 2.
torn jolt
what would the numbers be
short bridge
You tell me.
short bridge
Yes
torn jolt
isnt all numbers
short bridge
No.
torn jolt
what’s one that’s not
short bridge
I'm not going to give you the answer. Try and see for yourself.
You have done till 3.
Check for 4.
short bridge
If you want an example, then 10 is an example.
short bridge
It's divisible by 5 as well.
short bridge
Did you even read the definition?
torn jolt
i did
short bridge
A prime number is such a natural number which is only divisible by 1 and itself. No other number divides it.
short bridge
Yes
short bridge
Yes
short bridge
So 4 isn't prime.
short bridge
1 isn't prime.
short bridge
What?
short bridge
Okay. Good
short bridge
Wait. There aren't only 2 primes between 1 and 8.
short bridge
You found 2 and 3.
torn jolt
it’s 2 3 5 7
ok so
then
perfect swuare
u perfect swuare all of them rifht
so 2 square is 4
3 square u cwnt do it
so its 5/8
short bridge
Yes
torn jolt
ohh
4
so 4
it says not a composite or an odd number
so
4 not a compsoite
5/8
right
4 odd numbers between
composite is 4
4+1 is 5
so 5/8
OH WAIT
U HAVE TO DO
1-5/8
short bridge
That logic is vastly wrong. I dunno about the answer.
short bridge
I don't think so.
short bridge
Btw, once again, question is confusing.
short bridge
It says not a composite number
short bridge
That means a prime number.
short bridge
Yes.
torn jolt
can u help me
so it says
which of the following might occur
there’s up to 6 on dice
one die is rolled
so even number
3/6
a heart
13/54 including jokers
13 hesrt cards
3/6 even number
do we add them??
or no
torn jolt
oh ok
13/52
for cwrds
and 2/6
3/6
for even number
do we add or
x
or
keep it the same
cyan kelp
If A is the event "you roll an even face" and B is the event "you draw a heart", then A and B are independent events. for independent events, you have P(A and B) = P(A)P(B), where P(A) is the probability that A happens
so basically, you multiply, but its helpful to understand why
cyan kelp
if A and B are independent events and you want to find the probability that they both occur, then you multiply the probabilities
cyan kelp
yeah. you say that A and B are independent if, intuitively, knowing something about A doesn't tell you anying about the likelihood of B occuring
cyan kelp
if you roll a die and it lands on 2, you don't become more or less likely to draw a heart.
dependent is where that doesn't happen. If A is the event "you rolled an even number on the die" and B is the event "you rolled a 2 on the die", then if you know that A happened, you now know that there is a 1/3 chance that B happened
otherwise, you just know that there is a 1/6 chance that B happened after you roll the die
so A and B are not independent in this case
cyan kelp
in the new example i gave, A and B are not independent
maybe i should have called them C and D
cyan kelp
nah, if A and B are dependent events, then its just more difficult to find the probability that A and B both happen
no good, general way to do it
cyan kelp
it depends on the problem
cyan kelp
you would have to think about the specific case of the problem more. i can't give a solution that works for all problems
you would just have to compute P(A and B) a different way
but 11 is independent events, so you can multiply and don't have to worry about this 
cyan kelp
composite means not prime. the prime numbers between 1 and 6 are 2,3, and 5
cyan kelp
oh wait. 1 isn't prime or composite
torn jolt
1 is prime
cyan kelp
so the composite numbers are 4 and 6
cyan kelp
1 is not prime
cyan kelp
if a number is prime, it has only two distinct factors. but 1 only has 1 factor, namely 1
torn jolt
ok so 1 is compsoite?
cyan kelp
3 is prime because the only factors of 3 are 1 and 3
its not composite either 
its a special case. it's kind of weird
for it to be composite, it has to have more than two distinct factors
but it just has one factor, 1
torn jolt
4 and 6
ye
cuz 6 divided by 3 and 1
and 4 divided by 1 and 2
so they both compsoite
and then
thays 12/52 x 2/6
cyan kelp
4 has factors 1,2, and 4 and 6 has factors 1,2,3,6
torn jolt
which is 1/13
which means the even value and a hesrt is more likely to occur
right
cuz it’s 1/8
cyan kelp
yeah, i didn't check the multiplication you did but that's what you should multiply and compare
torn jolt
i did
the composite one
is 1/13
and
even number is 1:8
better chance for even nunber and hesrt
cyan kelp
good luck
torn jolt
thanks
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fallow sage
help
hot herald
did you watch the video / read the written exmaple?
fallow sage
yes
im looking at the example rn
i understand where the 1/3 came from but how did they get -12z
i know -9*3 is -27
hot herald
long division
knowing that there's a fractional root, it'd actually be more convenient to use the factor
(3z + 1), also 0 when z=-1/3
and get
(3z+1)(z^2 - 4z - 9)
,w factor 3z^3-11z^2-31z-9
glossy valveBOT
hot herald
also pretty poor example for them to have used
-1/3 is pretty much the last thing you'd consider testing
fallow sage
wait oops
that was for the other problem im stuck on
but this example pretty much the same
hot herald
same problem?
hot herald
yes
taht's what the guide says
start with rational root theorem
to first find a root and hence factor
fallow sage
+/- 1,2,3 and 1/2 3/2?
i think i was making it more complicated in my head
this one i dont know tho
i tried +/- 1,2,3 and none were zeros
nvm 1/3 works
what did i do wrong
gritty rose
What does yellow mean
fallow sage
it means i got some part of it right
gritty rose
did you factor out y-1/3 out of the cubic?
fallow sage
i did 1/3 and got a remainder of 0
and then did the quadratic formula
on
to get -3 square root of 66
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fallow sage
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sonic yoke
Logic question from a friend, explain the relation between these numbers: 5 becomes 7,6 becomes 3, 25 becomes 144, 64 becomes 234.
fast peak
you can quite literally come up with anything because there are infinitely many relationships that these could satisfy
sonic yoke
For example
fast peak
well when I say "can" I mean "could if I wanted to. but I am too lazy because its a bit of annoying work"
sonic yoke
Then what's the point of answering
fast peak
the point is that these questions are ill-posed
sonic yoke
i only asked one relation
I already found one involving single Digits, i Need another One to be sure
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sonic yoke
<@&286206848099549185>
sonic yoke
<@&286206848099549185>
Logic question from a friend, explain the relation between these numbers: 5 becomes 7,6 becomes 3, 25 becomes 144, 64 becomes 234.
.close
severe rune
I have a question
A parabola intersects the x-axis at the point x = 5, and the equation of the tangent line at the point P(3/y) is y = -x + 7. Determine the function equation.
anyone can help
static bramble
!status
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1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
@severe rune Has your question been resolved?
tribal oxide
Can you translate please not everyone speak German
severe rune
bro i already did
gritty rose
bro i already did
what about 1-3
tribal oxide
Oh wow I’m blind
severe rune
what about 1-3
what do u mean
gritty rose
severe rune
oh 1 is to get the function
2 and 3 are not really importent
but in 2 and 3 is about curvature and curvature degree. and circel
static bramble
You know 3 pieces of info: the y-values at x=3 and x=5, and the derivative at x=3
Easiest is perhaps to just form a system of equations to solve for your 3 unknowns (aka the coefficients of the quadratic)
severe rune
Easiest is perhaps to just form a system of equations to solve for your 3 unknow...
im sry but how
static bramble
How what
severe rune
how should i do that
static bramble
What is the standard form of a quadratic?
static bramble
3 unknowns there
severe rune
a b and c
static bramble
You know 3 pieces of info: the y-values at x=3 and x=5, and the derivative at x=...
Use this to make 3 equations
static bramble
Your 2nd and 3rd equations need work
4 = -3 + 7 is correct but doesn't help
And your third equation can be made more precise because you know what y is
severe rune
no i dont do I
static bramble
What are the properties of a tangent line at a point?
static bramble
That's an equation, I asked for properties
severe rune
tangent does not touch the function ?
does not cut it
it shows if the function is positive or negative
static bramble
So what does that tell you about
a) the value of the curve at that point
b) the gradient(/derivative) of the curve at that point
static bramble
so i can use it in the function like this
3^(2)a+3b+c=0
You can but it doesn't equal 0
severe rune
**what** does it tell you
sry for being dumb
static bramble
No it tells you something about both
severe rune
and what should i do with this information 
severe rune
4
static bramble
You skipped a step but yes
severe rune
which one T-T
static bramble
I was hoping you'd say y_p
Because I was going to say that the tangent line has the same y-value as the curve at the relevant point
severe rune
Because I was going to say that the tangent line has the **same** y-value as the...
oh im cringe sorry
severe rune
Use this to make a second equation to solve for your coefficients
and now with this 2 equation i can solve it ?
severe rune
where should i get the 3 from
static bramble
I've already told you where the 3 equations come from
static bramble
And what's the gradient at 3?
severe rune
4?
static bramble
That's the y-value
severe rune
3 then
severe rune
i really cant see it
static bramble
What is the equation of the tangent line at x=3?
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arctic isle
$|x(x-1)| < 8$
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$|x(x-1)| < 8$
glossy valveBOT
aguaman
arctic isle
how the fuck do i do this i'm genuinely so dumb i forgot basic math
i know this implies
uneven crystal
ill help\
arctic isle
-8 < x(x-1) < 8
uneven crystal
help*
arctic isle
@uneven crystal okay?
uneven crystal
what do we have to find the varible X?
arctic isle
bro what does that question even mean
stiff musk
maybe the easiest way is to observe that $|x(x-1)| < 8$ is equivalent to $x^2(x-1)^2 < 64$
glossy valveBOT
Bungo
arctic isle
i thought you're not allowed to square both sides
or at least, there are some instances where you can't
fathom saddle
It gets weird when there's negatives, but in this case there's none
I personally would do this question the way you did it, and consider each side separately. First:
x(x + 1) < 8
Is very related to:
x(x + 1) = 8
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arctic isle
I personally would do this question the way you did it, and consider each side s...
yes
what next
fathom saddle
x² + x - 8 = 0
Sadly that doesn't factor very well, but quadratic formula can still get it
Gives you the two points where x(x+1) crosses 8
arctic isle
$x = \sqrt{\frac{-1 + \sqrt(33)}{2}|, \sqrt{\frac{-1 - \sqrt(33)}{2}}$
fathom saddle
ew
glossy valveBOT
aguaman
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
arctic isle
shit
fathom saddle
Everything between these two points is a solution
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fathom saddle
Parabola doesn't get that low so everywhere is a solution.
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proven kettle
I’m trying to solve the system of equations at the top for C_1 and C_2 (apologies for the messy work). ive gotten to a representation for C_1, which i put into the second equation, but I’m not sure if my work thus far is correct, or if so where to go from here
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I’m trying to solve the system of equations at the top for C_1 and C_2 (apologie...
@proven kettle Has your question been resolved?
proven kettle
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mossy musk
I’m trying to solve the system of equations at the top for C_1 and C_2 (apologie...
watch out!
mossy musk
I’m trying to solve the system of equations at the top for C_1 and C_2 (apologie...
the method seems right
maybe too complex?
you can equal both equations to obtain:
c1 (e^(ipi/4)-e^(ipi/2)) = c2 *(e^(i7pi/4)-e^(i3pi/4))
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proven kettle
.reopen
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proven kettle
you can equal both equations to obtain:
c1 (e^(ipi/4)-e^(ipi/2)) = c2 *(e^(i7pi...
i was thinking this earlier, but I kept getting C1=C2=1, which, maybe because it is late, but that doesnt satisfy the original equation if that was true, right?
proven kettle
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mossy musk
i was thinking this earlier, but I kept getting C1=C2=1, which, maybe because it...
Nop, replace the value of C1 in the first ecuation (the ona that is equal to i+1)
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manic ridge
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manic ridge
i dont quite understand this
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left bone
well 3 and 4 are opposite answers so one of them has to be wrong
do you know how induction works
manic ridge
kind of but im not super confident
manic ridge
.close
west mango
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west mango
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What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
1
simple ridge
you have to start by taking right and left limits
simple ridge
yes $\lim_{x\to 3^-}{f(x)}$ and $\lim_{x\to 3^+}{f(x)}$
glossy valveBOT
calculus is fun
simple ridge
for the first limit notice that we want x to get closer and closer to 3 but it will remain < 3
you can think of it like this
and for the second limit we want to get closer and closer to x but the numbers will stay > 3
if you think about these 2 limits in this way
what will you get for the first lim
@west mango
simple ridge
ok if x< 3 then what is f
west mango
simple ridge
ok
ok now take the limit as x tends to 3^- for this expression
do you know how to do this
west mango
No
simple ridge
ok lets go through this step by step
first try substituing x=3^-
so substitute a number very close to 3 but less than 3
like 2.9 or 2.99
you should get 0/0 right
west mango
Yea
simple ridge
ok now try to factor the num
west mango
west mango
X-3
simple ridge
ok $\lim_{x\to 3^+}{f(x)}=\lim_{x\to 3^+}{x-3}=?$
glossy valveBOT
calculus is fun
west mango
=0
simple ridge
ok now for x=3 what is f
west mango
=0
simple ridge
yes right
west mango
simple ridge
for x=3 f(x)=x-3
so f(3)=3-3=0
now compare $f(3),\lim_{x\to 3^+}{f(x)},\lim_{x\to 3^-}{f(x)}$
glossy valveBOT
calculus is fun
simple ridge
it is indeterminate but we solved it and got 6
west mango
Ok so what is the final answer
simple ridge
now since those 3 arent equal then the limit doesnt exist
west mango
So the limit doesn’t exist
simple ridge
yes
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west mango
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gritty rose
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What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
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west mango
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cyan kelp
what if you just write (ax + by + c)(dx + ey + f) and multply it out
then equate coefficients with p(x,y)
i guess that's what i would do, theres probably a better way though
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west mango
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west mango
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sick prawn
I would first try completing a square, that 4xy looks like a good candidate. Then the remaining y^2 and x^2 can also contribute to squares and hope for the best
west mango
I would first try completing a square, that 4xy looks like a good candidate. The...
Can you elaborate on that please
We can factorize 4x
Same with 6
But then 33y?
cyan kelp
what class is this for, are there other similar problems that they've done
sick prawn
Can you elaborate on that please
4xy begs to become (2x + y)^2 or (2y + x^2)^2, that’s what I would try