#help-33
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examples of solved problems in class
there are lots of ways to estimate. what specific way have you learned
do this
picture or screenshot
of the ORIGINAL question. not your typing
and do this
.
again, picture or screenshot of the problem you're working on
or explain what type of solution you're looking for
this is too vague to help you
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since i dont have an inflection point would the answer be c? all real numbers
wat
also it concaves up becasue its positive right?
my second derivative is positive so it goes up
indeed, the second derivative is positive
yup
The brackets
Should be facing the other way
Or is it a notation thing?
notation i think?
I guess, we're not allowed to do that in french notation
idk how french notations are
im in america
brackets mean included though
Ahhh, so you use whole different symbols for excluded
And other ones for included
Like ( and [
oh yeah we dont do that
Aight
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<@&268886789983436800>
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how to solve?
this was wrong but idk
took first derivative to find criticals
then tested them in second derivative
is that wrong?
.close
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Stuck here , thanks !
find two points on the line first
-4 & 1
Don’t get what you mean
I’m completely lost
Plotting Points on a Graph In this tutorial, I have prepared eight (8) worked-out examples on how to plot a point in a Cartesian plane (named in honor of French mathematician Renè Descartes). To plot a point, we need to have two things: a point and a coordinate plane. Let’s briefly talk about each one. A Point A ... Read more
-4,0 & 1,1 @main idol
looks good.
go back to this and find the slope using your two points
almost? you need an x somewhere
there you go
I don’t get it how come for this one Y = 4x - 60 is wrong like wtf
I’ve done everything we just done
Point crosses at -60 that’s the C
And the points I chose are -60,0 & 20,10
Then I got 1/4
So gradient is 4!
And it’s saying it’s wrong
🤦♀️
@main idol
show your work
I just did above I sent everything I done
you mean this?
these points look right
write an equation for how you get 4
@still temple Has your question been resolved?
don't rely on counting squares to get slope. use the formula
this formula
mainly because you're gonna get confused with what each square represents. a horizontal distance of a square is 10. a vertical distance of a square is 20. you need to read the axes and tick marks correctly
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can someone help with b
I understand the angles have to be at H and C but I forgot how to name them
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Where you distribute but if you can’t distribute you come bine like terms
Pls somebody come quick
n = 2 doesn't seem correct. I can see you got to 1/12 + 7/45 • n = n - 3/2, which is correct thus far. What did you do after this?
So first what I did was combine like terms
I combined 8/5 N and 13/9 N
Since they both have variables
Like I was taught to do in class
Yes, and you got 7/45 • n, which is correct
And then I put all the variables on one side by subtracting 7/45 N by -7/45 N which cancelled it out, and then I did N + -7/45 n because when something’s positive you gotta make it a negative
Oh my bad I messed up
Wait
Did I
?
I’m confused
Was i supposed to subtract 7/45 from N?
By subtracting 7/45 • n on both sides you get n - 7/45 • n - 3/2 on the right side, where you need to simplify n - 7/45 • n, yes
Oh so basically I was right I do subtract
Alright so after that when I subtracted in both sides
I should of gotten 7/45 n
Right?
Because I am subtracting the variables to get it on one side
So I did n - 7/45 which would of gotten me 7/45 N right
Wait I don’t get it
How would you get 38/45
?
Ohhhhh I get it
So now I should have 1/12 + 38/45 N = 3/2 right?
But I’m not done
My mistake
I wrote one half instead of 1/12
I edited it
No, you would have 1/12 = 38/45 • n - 3/2
You had n on the right side and subtracted 7/45 • n, so you get 38/45 • n on the right side
And then you had -3/2 already part of the right side
Ohhh
So now I have to minus 1/12 on both sides right
?
So like 1/12 minus -3/2
And 1/12 minus 1/12
?
What we have so far is:
1/12 + (8/5)n - (13/9)n = n - 3/2
Then because (8/5)n - (13/9)n = (7/45)n:
1/12 + (7/45)n = n - 3/2
Then because we subtract (7/45)n on both sides:
1/12 = n - (7/45)n - 3/2
Then because n - (7/45)n = (38/45)n:
1/12 = (38/45)n - 3/2
What can you do from here to get (38/45)n alone on the right side?
Subtract -3/2 by 1/12?
No
Add
Yes
Because if you add 3/2 on the right side -3/2 and +3/2 cancels out and when you add something on the right you also have to add it on the left
Yes, so to get "rid of it" you have to add it
Ohhh okay I understand
I was so confused
So the. After I do that
I just have to divide the number I get from adding -3/2 on both sides
By 38/45 N
And then divide 38/45 N by itself and then j should Get N
And the N = the number that I got
Well, not by "itself". By 38/45
Yeah that’s what I meant
So your answer for n becomes?
🙏
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Ty
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Hi can someone help me with this? This is too complex for mee 😭😭
@junior atlas Has your question been resolved?
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<@&268886789983436800>
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What did I do wrong?
The inside function isn't just g(sinx)
is line 1 correct?
Product rule
What.
Where exactly is it wrong
You multiplied f'(xg(sinx)) by the derivative of g(sinx)
In doing so, you ignored the first x
I didn’t
$\frac{d[f(x)\times g(x)]}{dx} = f'(x) \cdot g(x) + g'(x) \cdot f(x)$
Ddx of x is 1
Are you familiar with this?
NEONPerseus
Last line
The derivative of xg(sinx) is not g'(sinx) * cosx
g(x) is inside f(x)
Its inside the f i dont get it
What's the derivative of xg(sinx)?
I got it
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i don't know how to do this. complex numbers. I tried to using delta to calculate this but i'm not getting the answers like in the key.
answers
i did it like this but my answers are wrong
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What’s the geometrical interpretation for these solutions?
@ivory laurel Has your question been resolved?
It's just a line in 4D
Parametrized by lambda
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Idek where to start
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Find the lengths of the diagonals of rectangle QRST when QS = 8x+5 and RT= 7x+7
what can you say about diagonals in a rectangle
sure
if they’re confident
congruent
all sides
same length
aye
ye*
so
diagonals length
QS and RT
must be ?
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idk if its a or b
if it has an x intercept at 2 and y intercept at 6, there's two points the line has
once you can figure that, you can find your slope
don't just guess
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$(13 + \frac{1}{2}x)(400-8x)$ can be multiplied to get a quadratic equation
lexitorius
Then you could solve for x with quadratic formula, though you did find the two solutions
Oh okay
Thats my teachers answer , he did the zeroes method but also did this method so im confused which to use
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✅
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how do i do this?
First you need to find the domain of the area bounded by y = 9x and y = x³ in quadrant 1.
@quaint rain Has your question been resolved?
what do i do after?
You now have the bounds of your integral for your x-variable and it's already given what the bounds of your integral are for your y-variable
So start by taking the first integral. It shouldn't matter which you take first, as long as the variable you integrate with respect to, is the same you use for your bounds
You should have this at this point $\int{\int_{D}{4x^2}dA}=\int_{x=0}^{x=3}{\int_{y=x^3}^{y=3x}{4x^2}dy}dx$
Mikkel
ok tysm
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,rotate
How can I solve for X?? I’m kind of stumped here
oh
u can use
sub sinx as X
then solve for X using quad formula
then from thr sub back sinx=X
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How do i solve these types of triangles
Do you know what those sticks in AB and AC mean?
It means that the sides are equal
Ooh
I mean the lengths are the same
Hi, i was just calculating some uni grades and wanted to see if i passed a certain subject
here are my grades
10% of final subject grade (6/10)
15% of final subject grade (13/20)
15% of final subject grade 15/20
30% of final subject grade
7/10
8.50/10
5/10
0/10
30% of final subject
15/75
Final grade. I know i fucked up but might aswell
48.375%
Holy shit
approx 48.4% ye
Thats hella low
But im not a uni student so i cant judge
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can someone help me find
m and b
I have to go to bathroom but if someone could just send how they would do it and an explanation I probably will ace my test tommorow
In the second eq. you have 0 = m log(40), so m=0
for first
take mlog5 as log5^m
and apply the log rule of
Loga+logb = log(axb)
@deft delta Has your question been resolved?
@open relic @potent sentinel wait I forgot to mention these 2 equations are 2 data points connected
Lemme ss it
this is it in exponential
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A rectangular sheet of fixed perimeter with sides having their lengths in the ratio 8 : 15 is converted into an open rectangular box by folding after removing squares of equal area from all four corners. If the total area of removed squares is 100, the resulting box has maximum volume. The lengths of the sides of the rectangular sheet are
(a) 24
(b) 32
(c) 45
(d) 60
Please don't occupy multiple help channels.
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guys when solving for absolute values
we do not need to solve for this
because it equates to -1
and absolute values are always positive
so its extraneous root?
it's not that "we do not need to solve for this", it's that the solution consists of one step and the answer is ∅
oki thanks so much!
\
yo delete
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Given vectors x,a,b,c and x+(x.a).b=c and 1+a.b≠0
Prove that x.a=(a.c)/(1+a.b)
And write x as a linear combination of b and c
I proved the first one but I'm not sure how to go about the second question
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.close
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How would I write this in exponential form
I can integrate just need help setting it up
Would it become $(x^{\frac{1}{2} + \frac{1}{3} + \frac{1}{4}...})^{\frac{1}{2 \times 3 \times 4 \times 5...}}$
NEONPerseus
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need help start my finite math assignment, very hard to start -> recursion question
For n E Z^(+), define the function f(n)=prod_(k)=1^(n)(1+(3)/(k)).
Find f(1) and f(5)
@silk nacelle Has your question been resolved?
been waiting
@silk nacelle Has your question been resolved?
not at all lol
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How do you factor x^4+x^3+x^2+x
I want to find the real roots
by factoring out x
you can rewrite it as
(x - 0) * (x^3 + x^2 + x + 1)
so the first root is 0
now solve the cubic equation in the parenthesis to get the other 3
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angle PQX = angle SRX as angles in the same segment are equal
idk where to go from that
good
you also know that angles QXP and RXS are equal
are they not?
Which means that angles XSR and XPQ must be equal as well
therefore the triangles have all internal angles same
oh wait this is similiarity
ye
How?
so all angles is enough for that?
Yupp
well if 2 angles are the same the third one must be as well
1 angle is equal I got it , it's vertically opposite but the second?
angle PQX = angle SRX (angles over same segment)
angle QXP = angle RXS (opposite angles or whatever it's called)
from that we deduce
angle XSR = angle XPQ
therefore all angles are the same
I forgot that property
for what reason?
given two triangles of angles a1, b1 and c1 and a2, b2 and c2
if a1 = a2 and b1 = b2
we have
a1 + b1 + c1 = 180°
a2 + b2 + c2 = 180°
from that
c1 = 180° - a1 - b1
c2 = 180° - a2 - b2
since a1 = a2 and b1 = b2
c1 = c2
unless this theorem is proven using this problem's theorem which would be chaotic lol
right
@sinful jasper this one also
first i obviously cross multiplied or whatever
and then it left me with x^2-11x-2/x^2-4
and idk what to do from there
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how do i make a function that switches from -1 to 1 every 90 units
or pi/2 units if it is easier
i mean kinda
@exotic marten can you sketch a graph of the function you want
approximate, of course
perhaps it will be easier than trying to decipher the admittedly kind of ambiguous description of "switches from -1 to 1 every 90 units"
"Square Wave Equation"
i googled $y=\operatorname{sgn}(\sin(2\pi fx))$ that might work
sills
there is a pure defintion if you define it by parts, also the fourier series up to infinity is "exact" as this is the limit of a fourier series
yeah or use the sign function
which is defined by parts also
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You forgot the square
The answer is [ (n-1)! ]^2
But yes that's the good method @still temple
Ahh right thank you !!!
This was a bit of a tricky one
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ok so can anyone actually help me with this? my cousin is asking me for help but I don't know what to do either 💀
Bring them here too
Which one
Which part do you not understand
literally everything, but I think once I get an Idea how to solve it I'll do it myself
he doesn't use discord
in the first exercise replace f(x), g(x) and h(x) with what theyre defined to be
for instance, at a, f(x) + g(x) = 3x² + 4x + 1
alr answered the A. B. btw
oh
yeah that's my answer b
but the rest broo
surely this wouldn't be hard if that 3x² isn't alone like g(x) 
that's what confuses me
this correct? 
yeah yeah
thats correct
oki
1 sec
i dont think a is right
is that 2² or 3²
also at x³ ot should be 2³ which is 8
because you replace the x value with 2
and at f(x) with 3
meaning 3² + 3×3 + 2 + 2³ = 9+9+2+8
its still 28 but u mixed them up
the order
coincidentally
its the same result
oh 28 still the answ?
that's good to know ig, I think he doesn't need to show the solution since he's answering it on a book
he only needs the final answer
what about the rest?
at b is -(2+2) - 1³
you factor the - and its -2-2-1=-5
also if the way you solve them is flawed the resultes are going to be as well
not at a coincidentally but still
alright noted
d is right
ye bruh I don't think it matters anymore since it's not mine but still 
you should probably tell him to be more careful when he substitues the numbers for x
I'll send him this message screenshot dw
e is right as well
np
I hope you're right too cuz I'll feel bad if I give him wrong answers
wait
last question, I haven't answered the 1. E yet
how to?
you just suvstitute every x with -x
which would be 3(-x)² which is the same as 3x²
since anything squared is positive, as long as its in the real numbers
and it js
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I was able to find the general solution to the differential equation
however, I'm stuck on finding the unique solution
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Help
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Help
What’s your question?
@knotty socket
Okay so I did it by my self and I still got the wrong answer but here is the question
What have you tried
I tried doing the opposite
The opposite of addition
treat g(x) as just any other variable
So what’s X?
You just just isolate the variable and then divide by it's coefficient
Can you show me?
I'll give an example
4 = 5x + 7
4 - 7 = 5x + 7 - 7
-3 = 5x
-3/5 = x
Same logic applies
Use the question because it’s kinda confusing
@nova totem not letting him verify it?
Okay but I am not looking for the answer what’s importantly is how
(it's not)
to put them on the correct path
Yes?
Lmao don't give out wrong answers either, that's just confusing
mm alright
$$-2 = -x + 5$$
$$-7 = -x$$
$$7 = x$
Umbraleviathan
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So -2 -5?
Yes
Yes
x = 1x
And
-x = -1x
So I did -2 -5 which is -7
correct
Then division?
Yes
So I do -1/-1 cross out then -2/-1?
Yes
we can move it other to the left by subtracting both sides by 5
Yes
what are you left with now?
well, what did you arrive at?
So -7 /1?
negative x has a coefficient of negative 1
no
there's a negative on the x
divide both sides by negative 1
Did you get the 1 from X?
Now is our X = 7
yep
Thank you so much because I learned how to solve it and the answer came out to be 7
But I want to clarify something
So you got -1 because it says -x on the equation now correct me if I am wrong but I remember my teacher said that if it says an X it means a 1 or if it says a negative X then it would be -1
@stoic trail Am I correct?
Hello are you there?
Nvm But thanks for the help @stoic trail
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For the first question,
Given r(x) = x^3-4x^2+4x-6, find the value of r(2)
What does your answer tell you about x-2?
I dont get that question at all,
What am I supposed to see when I add up all those terms?
Im genuinely stuck
r(2) = 0 implies that (x-2) is a factor of x^3 - 4x^2+ 4x - 6
Wait
how do I know it equals 0?
@still temple
is there a rule or theorem I dont know of?
you plug it in
alright ty
And the second question
I dont think I get it either
I tried synthetic division but once again I dont think I did it right
Determine if x-5 is a factor of 2x^3-4x^2-7x-10
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yo, how do I check if something is in a solution set
for example, 3x - 5y > 15, how do I check if (2, 4) is in the solution set
sub
?
substitute
wdym, could you give me an example pls
also get another help channel
this one occupied
@fierce charm
what
Jesus christ that's what I was doing, fuck off
Ahh you just gotta search for a proof for product rule
Then you gotta need to use this after that
Yeah that
Sorry imma be out for a while
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i need help with basic functions
so i saw that f(x) is equal to the function
but then i dont quite understand if f(x) is the function and f(x) is equal to y then is Y a fucntion
yes, so what was the question?
It's an input-output
i understand that
Think of it as a vending machine
but whats confusing me is F(x)=y
so does Y represent the Y values in a table of values?
I mean we can use any symbols or letters but that is what we're stuck with
because that would mean X/input Y Yvalues
That's an equation
thats the relation
Like 2x+2=0 right?
Yes
Oh, that's a one piece reference
wtf
The pfp that you're using
It's the name that luffy used at that arc
bruh ur such a trol
yea i figured
K see you, gtg
??
yes
No it is only the relationship of inputs and outputs
exactly
I think you're confused with equations and functions
??????????????????????????????????????????/
im confused with why X and Y values are considered a function
cuz i thought function is like the machine or equation to help relate X and Y
Ah, just because the mathematicians said so
I mean, the poles of a magnet is opposite but since the guy who discovered electricity was wrong and it was already a hundred years after the discovery, nobody can change positive and negatives now
Yeah that's it
so a function has more than one meaning
it just means the relationship of input/s and output/s
i thohgt a function is only the equation/relations
YES SO THE RELATION
Equation is a bit different
SO WHY IS X AND Y VALUES A FUNCTION
noooooooooooooooooooooooooooooooooooooo
It's just the thing that we use to represent a function
im talking abiut X and Y table of values
Yeah, it shows the relationship of x and y, soo?
idk if im on the same page as u
Yeah, I'm also confused on what are you confused at
Yes
u told me that the X values like the numbers under X are a function
same with Y
but i thought the function was only the relation
like y = mx+c
the mx+c thing is the relation
The table of values shows the relationship between x and y
Yeah, I mean correct
It's just a linear function or has a linear relationship
so lets say x=1
k
Not yet, that's just an equation
x=1 is still an equation
If you're just trying to equate for a missing variable, then that's equation
x=1
now that's a function
NOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
yes
this
u said that the x and y values
so in that case
-2 and 3
are functions
That is a function
Cause the table shows when x =-2, then y=3
?
Doesn't it show relationship between the two?
When x=-2, then y =3
That's literally the meaning of a function
This shows the relationship between x and y
ok i think my brain just stopped working
isnt the equation
what shows the relationship
?
as i said earlier mx+c
This is the most funniest interaction that I had in this server
I don't really get where are you confused at
bruh
u said that
like 2 times
and i told u
like 2 times
ok
so
what is f(x)
Uga buga 2 ->🤯 x, uga buga y->3🤨
AAaah
It's just another way of saying y
But it is more functional
wtf
Y IS THE OUTPUT OR THE ANSWER IF X IS SOMETHING
i know f(x) = Y
EXACTLY
SO IF Y IS THE OUTPUT WHY IS Y A FUNCTION
A FUCNTION IS THE RELATION
AAAAAH
No, the whole equation is a function
f(x) is translated as function of x
wtf
exactly
and Y isnt a whoke equation
y is a number
Variable*
nono
yesyes
it is a number cause if X = something Y is a numnber
Yeah but as long as x isn't stated yet, then it still a variable
I think you're kinda confused with f(x)
yes
Nah, we just read it as function of x
OMG
For example x=10
Then we read it as f(10) or function of 10
what the heck is a function of x
hey
im supposed to use this
not u
and ur telling me that the function is the relation between x and Y
so relation between x and Y (10)
function of x or f(x) is telling you that there is a function and x was used as a substitution
Is that clear?
im still trying to comprehend what u just said
no
i do not
ur telling me that y values = relation
which i find hard to understand
NO it's not
Y values and x values shows the relationship
u will see
THIS IS WHAT I SAID
IT JUST SHOWS THE RELATIONSHIP
