#help-17
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umk
yes k
Agreed ??
ntse question ahh
Now compare the power and do some Math and you should get 1
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hello, can someone please help me with my math homework? ive been stuck at circle and hasnt been able to answer the semi one,
if anyone wanting to help the topic is solving circles and semi circles (angles)
i tried solving the circle first (finding the x) but im a bit stuck and dont know where to multiply the ten, please do tell me if i did something wrong :)
btw please excuse my bad english grammar, it isnt my first language ^^
<@&286206848099549185>
What’s the problem @dusky adder
im having trouble on the next step :')
these r the questions
yep
yes
im sorry but can u explain what you mean but subtract 15 on both sides?
Absolutely
So subtract 15 from the left side
And you get 5x
Subtract 15 from right side
And you get 165
So 5x=165
hold on, im trying to figure out what you mean, im rlly sorry :')
You want to isolate x
So if 5x+15=180
You wanna get 5x by itself
So you get rid of the 15 on the 5x side by subracting it
^
The reason you subtract 15 on both sides is because of the equality you want to make X alone so you can find it's value.
im sorry but is that for finding the x or finding the measurement of fg?
i needed that, but i thought "2x+5" would also be needed so i got a bit confused
ohh, i thought you were talking abt solving the circle
i need help with both :')
i didnt understand what our teacher meant and didnt explain it properly
sorry for confusing you
Could you draw the circle again
okay
It’s a little hard to understand right now
tell me if u dont understand thw writing
okay ^^
oh
ow waiy
yeah
in the given there were none
oh
should we try the semi circle then?
if you dont feel like it or if ur too busy rn, its alr
ohh
wait
should i draw it?
done
omg
my teacher is prbably sleeping at this hour
its currectly 12 am abt to be 1 am
do u think thiw will help?
thats the only photo sent in our math gc that could possibly help, the others are inscribed angles
wdym plug in?
like do i just put x in both 2x and 5?
ohh
and may i ask how you found the x?
yes
like multiply it by 2?
ohh
wait
im rlly rlly rlly sorry but im still confused
i mean, on how you solve it, is done in a specific order?
like do u add it after multiplying it?
yes
ohh
ok hold on
so after multiplying the two of them do we add them to eachother like this?
or this?
wait omg
i think i misclicked sum in my calc
do we plus it? if yes r we gonna do sum abt the x?
im still confused, how do u get 360 from adding 10 to just 40?
i tried adding it, i just got 50 and multiplying it iis 400
yeah
x is 32?
ahh okay
just another question
is the formula we used in circle the same for finding the x in semi circle?
so, we just add all of them?
.
heres another [hoto if ur confuse
i sent
Using linear pair you can easily find x
Okay is the intersection point of chords given as centre?
wdym?
The point at which the chords intersect, is that centre of the circle?
i just copied what was sent
it wasnt in the center
but idk yeah
If it is not given as centre, then it's not gonna be an easy deal finding arc lengths
Probably you made a rough diagram and thus making it look like it is not the centre
Wha-
Centre is a point inside a circle fro. Where all lines to the cirumference are equal
What grade are you in?
7
Do you know angle arc relationship?
i dont think we've discussed that yet
I am still not sure
Since I is not given as centre of the circle it may require some tricks
like?
idk
It would be better if you close this channel and open new one so as to get more help cuz pretty much no ones comming here
r u sure thats alr?
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could someone help me with the following geometry problem:
R is the radius of the circumscribed circle
@stable oriole Has your question been resolved?
Sounds like there are two steps here:
- Finding out the values of the angles in the triangle.
- Using the angles and the radius of the circumscribed circle to find the lengths of the sides of the triangle.
Are you comfortable with those steps?
What's wrong?
i can just say 12x = 180
and then find the angles
and then its smooth sailing from there
Yup! This is because the sum of the angles in the triangle is 180°.
yeah
Are you comfortable from this point on?
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hallo
what is the problem asking you to do
i also forgot to add a angle on the top triangle near the 6 ft
that is the full question
oh wait
let 0 be the angle of elevation of the players line of sight when shooting a free throw to the basketball ring which equation describes the problem?
and then it ust gives me some tigonometric functions
@lyric fossil
<@&286206848099549185>
0?
no yk the
!15m
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your diagram is wrong
diagrm?
drawing
how
it looks like the 6 and 10 are at the same height
im still confused about what its asking you to solve for
can you post the full question
oh its asking me to find the tigonometric fuction to use
as a picture
ok
to find what??
so your graph is correct
niceeeee
but we're focusing on the top triangle
instead of the bottom triangle right
so you dont rly need that one ;-;
so on the top triangle we have 15 as the adja and we have 4 as the oppo
so were missing the hypo
so which trig function uses the opp and adj
yea
so what would be the ans
uhmmmmmm
idk
dk how to use tan
ik how to use tan to find a side but not an angle
15 is adj
4 is opp right
since 4 is on the opposite side of theta
and 15 is next to theta
yea
ummmmmm
for example if it opp was 7 and adj was 2 , tan = 7/2
yup
so we just divide it?
theres your answer
np
so i dont think you learned this yet
but later
you would use inverse tangent to find theta
how
well i dont have a teacher
im stuck on home
ah
cause i cant go to school cause of my foot injury
ill show you it hang on
ok
No it's not. Or you made a typo
yea
This trigonometry video tutorial explains how to solve right triangles using the pythagorean theorem and SOHCAHTOA.
My Website: https://www.video-tutor.net
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also why is cos 4/3
You should watch that video
but i want you to teach me
It explains most of what you don't understand
nawr oct explains it much better than i do
ok
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Is this correct?
I have to find the limit of 1/sqrt x using the limit definition
Oh wait
if you times the top of your fraction by $\sqrt{x+h}\cdot \sqrt{x}$ then you have to do the same to the bottom
ΣAC
it shouldn't be 4x on the bottom have another go
$\sqrt{x}\cdot\sqrt{x} \neq 2\sqrt{x}$
ΣAC
the whole bottom is yeah
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using part d) how do i prove part e)
,rccw
<@&286206848099549185>
@vocal sleet
@rare wyvern Has your question been resolved?
<@&286206848099549185>
@rare wyvern Has your question been resolved?
<@&286206848099549185>
hey i don't know if what i did was valid
but through some what seems to me to be rather vague ideas i got the right expression
i decided if d is true
let b = c = d = e = f
a special case of d
(d)
then let a = c = d = e = f another special case of (d)
you should go into a new help channel
@rare wyvern
after you find those two special cases of (d) you add them together
to get the equation
but i have no idea if that is proving anything or if i'm just fucking with the symbols
wym by special cases
well a, b, c, d, e, and f can be any number > 0
and the inequality holds
that's proven in (d)
yeah
a special case of that is where b = c = d = e = f
and another one is where a = c = d = e = f
to avoid confusion i should make it b = c = d = e = f and a' = c' = d' = e' = f'
but although i get the correct expression at the end
idk if i just did fucky stuff
or if it actually proves anything
idk that might be it actually
i can give screenshot of what i did
though i havent done a proofs question like that
if you want it
yeah would be good thanks
yeah that works
which you then add together
i dont see a problem with it
to get the right expression
you should ask a prof for clarification because i am not certain 😄
.close
.close
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Its good. Here's a better clarified version
That was good man, never have I saw a use like that, and I'm going to graduate in maths this month 😂
@thorny storm Has your question been resolved?
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Hi, the answer to this is P = 2<-13/5, -19/5> + (1, -5) right?
My teacher got a different vector and I have no idea how
I checked my algebra like thrice
he got P = 2<-18/5, 6/5> + (1, -5)
idk how he got the 18/5
wait nvm
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I'm so confused
Because the triangle we have is in quadrant III
How did half of the tan end up in QII
Quadrant III is the interval (pi, 3pi/2)
half of that would be the interval (pi/2, 3pi/4)
How do you know that
We don't use unit circle
If that's what you're referring to
you have to use the unit circle
otherwise it doesn't really even make sense to refer to angles being in quadrants at all
would you agree that angles in quadrant 3 lie in the interval (pi, 3pi/2)
I know 3pi/2 is a coterminal angle in quadrant 3
I guess those are coordinates?
I've never been allowed to use a unit circle
She doesn't like it
not coordinates, this is an interval
What do you mean by that though
wdym not allowed? how do you even define the tangent then
fine alright how about this.
We define tangent as opposite over adjacent
Or 1/cotx
Those are identities though
you see that's not really a definition because it tells you nothing about how to find the tangent as the function of an angle
like if i told you to find tan(2) you probably would have no way of knowing how to do that
Pi/6
Wait no
nope
That's 1/2
tan(2). not tan(x) = 2.
the tangent of 2 radians
the tangent is a function that takes in an angle and returns a number
Or would that not work either
you really do need to use the unit circle, i'm guessing you just haven't gotten to that yet.
well unfortunately for you she's 100% wrong
She's a Phd teacher too

I feel like she makes everything harder than it should be
let's focus on the whole quadrant thing for a moment
I understand it now
It's just splitting the quadrant system in half
And going from there
Sorry for taking your time up
Thank you for helping me though
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Ignore the slash
Anyone see my mistake?
The solution is:
Assume Cal 1 knowledge
you had issues with the application of product rule for
Isn't it
d/dx[x]*y + d/dx[y]x = y + dy/dx * x ?
yeh, but you didn't have that in you work
you're missing the x in the second term
ahhhh
and you should also have parentheses around that whole part
same issue again
again you somehow wrote
y dy/dx + 1
which isn't
the y + dy/dx x which i confirmed to be correct
(1), your work for the derivative of xy
^
rewrite it, i didn't look at any of the work that involved the result of the wrong derivative
okie
so
can I combine the two terms on the lhs
then on the rhs, I could subtract x^2 dy/dx to get it on the lhs
The idea is to isolate dy/dx
bruh
Like, after I do what I mentioned above, idk how I'm supposed to get to the solution I provided
right
well that's the thing
The mess I got , i'm not really sure
I'll show you
<@&286206848099549185>
this isn't any different from isolating a certain variable in any other linear equation
B?
separate terms with dy/dx from terms without that
What to find..?
would you be able to solve
(a + bc)(1/d) = e + fc
for c?
Ummm
For that I can divide (1/d) from the lhs
Oh
Wait
(1/d) = (e + fc) / (a + bc)
Hmmm
Yeah I can't figure it out here either
What's the algebra property here that I'm forgetting
lets make things simpler and reduce this to a question with one variable
would you be able to solve
(2 + 3x)/5 = 2 + 7x
(2+3x) = 10 + 35x
.
.
(2 + 3x) - 35x = 10
.
.
.
x[(2+3) - 35] = 10
.
X = 10 / -30 ?
Dy/dx
-32x=8
x=-1/4
Lol
5 - 35 = - 30
(2 + 3x) - 35x = 10
x[(2+3) - 35] = 10
that step was invalid
Oh
x isn't a factor of (2+3x)
you can't factor x out like that
dy/dx= -(4x³y²+2xy)/2x³+2x⁴y-x
??
@brave ruin Has your question been resolved?
Please show me its steps
Int(2cos2x-1/1+2sinx)dx
=Int(2-4sin²x-1/1+2sinx)dx
=Int(1-4sin²x/1+2sinx)dx
=Int((1+2sinx)(1-2sinx)/(1+2sinx))dx
=Int(1-2sinx)dx
=x+2cosx +C
Use cos2x=1-2sin²x
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Thanks 😊
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Please check this
where's your solution?
Bro, this LPP, u have to solve the equations to find intersecting point and hve to make its graph...
I want to confirm my ans
what is your answer?
show your answer and work
My ans is D
Please show your work that got you to the answer of D
Hmm wait
isn't z only infinite if either x or y is infinite?
Since it maximizing at 2 point so it should be infinite?
Oh mb I read it wrong 😭
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Hi
Not sure how to do this
Do I multiply both of them individually of their conjugate?
<@&286206848099549185>
@storm idol
What about taking LCM first?
Oh
Would that be
Hmmm
How can I do that for m+i and m-i though
the LCM of two distinct denominators which cannot be reduced further is equal to their product
a/b +a/c
In above case denominators are distinct and their LCM would be bc
I think you should multiply by its conjugate first
Each one?
Yes individually
Their denomination will become same
How do you know that
Well write it as a single fraction
then do some algebra to get it in standard form of a complex number
@storm idol are you done with your question?
@storm idol Has your question been resolved?
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This is what I have so far
@kind zephyr Has your question been resolved?
@kind zephyr Has your question been resolved?
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@late vessel Has your question been resolved?
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how to get the inverse of this?
@half cloud Has your question been resolved?
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OOKK
Let $p(x) = x^5 + x^2 + \bar{1}$ and $ E = \mathbb{Z}_2 [x]/<p(x)>$
I've shown that E is a field since p(x) is a maximal ideal, the dimension of E is 5 and that the number of elements in E is 2^5 = 32. We have that Z mod 2 is a subfield of E such that we can consider p(x) as a polynomial over E. How can we factorise p(x) over E?
do you know one root of p? what do you know about conjugation?
@onyx condor Has your question been resolved?
dont ignore the bot while you are typing
no havent found any roots in E. Not entirely sure what the roots should look like. Are we looking for an x where x is a polynomial upto degree 4?
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then edit, dont delete
it wouldnt change
copy paste
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Let $p(x) = x^5 + x^2 + \bar{1}$ and $ E = \mathbb{Z}_2 [x]/<p(x)>$
OOKK
the bot only lets you change the output for a few minutes
after that you need to write a new message
what is $p(\overline x)$ ?
Denascite
A polynomial?
yes
and each residue class includes a unique polynomial of degree < 5. which we usually use as the representant
mhm
so we are trying to write x^5 + x^2 + 1 as a product of some representatives of residue classes ?
no
you said that polynomial is irreducible
so how should we write it as a product
well ok, trivial products I guess
oh ok, thought the irreducibility was dependent on the field
well ok yes. we'll get there over E
first we want to find a root
and I'm asking you to please calculate p(overline x)
i dont know what p(overline x) is
plug overline x in
and use what rules about addition and multiplication you know in quotient rings
$\bar{x}^5 + \bar{x}^2 + \bar{1}$ ?
OOKK
$p(\bar{x}) = 0 \iff \bar{x}^2 = -1(x^5 + 1) \iff \bar{x} = i * \sqrt{\bar{x}^5 +1}$
Denascite
OOKK
it woult be a * b mod p(x) ?
yeah thats the issue. not sure how to find roots in e
you are just supposed to follow my instructions for a moment. you are not supposed to solve the equation
ok leme go back
how do you multiply residue classes in a quotient ring
btw we are working mod2, so -1=1
Denascite
so what is $\overline x ^2 = \overline x \cdot \overline x$ ?
Denascite
OOKK
Denascite
what about $\overline x ^5$
Denascite
$\overline{x^5}$
{}
OOKK
ok, so now $p(\overline x) = \overline{x^5} + \overline{x^2} + \overline{1}$
Denascite
next, how do you add residue classes
$\overline a + \overline b = \overline{a + b}$
OOKK
$p(\overline x) = \overline{x^5 + x^2 + 1}$
OOKK
how about you answer my questions
man im blind
0 ?
ok
wait what? i need to process this for a sec
are they just maps from the field to itself?
ok, but im still uncertain what the question to factorise p(x) over E even means. Like what exactly are we looking for?
we will eventually get a factorisation (x-a)(x-b)(x-c)(x-d)(x-e) where a,b,c,d,e are elements of E
aha
we found the first factor with a=overline x
ohh now i see why it was a root
can we divide p(\overline x) by (x-\overline x) to get a 4th degree polynomial?
we could
but we wont
because then we'd have to do all kinds of calculations in E
and then just get out some random 4th degree polynomial which will be harder to argue with than with p
I was still asking you about field automorphisms
so we got that they are isomorphisms from E to itself. isomorphism in what sense. which operations do they respect
im thinking that it would map residue classes to residue classes
and preserve the addition and multiplication rules we just went through
this is the very last part of our intro to algebra class, and i missed the lecture they went through this exercise
we learned about the division algorithm, and when we get fields from ideals
in that lecture that you missed or before that?
before that
do you have notes from friends for the lecture that you missed?
yes, in the first half of the lecture they covered 1. definition of a maximal ideal 2. that an ideal I in R is maximal iff R/I is a field 3. That the ideal generated by p(x) in F[x] is maximal iff p(x) is irreducible over F
Also showed that F[x] is a vector space over F and that F[x]/<g(x)> is a finite dimensional vector space for g(x) in F[x] different from 0
hmm that is not enough to do this exercise. can you show me the original problem statement?
hmmm
i feel bad youve helped so much
we can stop here if you want to go. i can ask the classmates after easter what they did
did you have in class that over F_p, the map x^p is linear?
no
(a+b)^p = a^p + b^p ? not seen?
no, we've seen the binomial expansion but not this
hmm
well for p=2 its easy enough to see
I'm really wondering what they want to hear from you for this exercise
sometimes the professors assume we know stuff we dont
I guess we can at least factorize p(x)=(x-overline x)*(random degree 4 polynomial)
which is a factorization
not as good as you can do but well
but even seeing that overline x is a root is stuff that I wouldnt expect anyone to come up with
at least not within the time constraint that these assignments typically have
They said they intentionally include some questions that we aren't ready for yet to get us to think about the questions. It's not expected of us to solve them
oh
is there material you'd recommend to read up on for solving these kinds of questions?
thank you so much for all the help
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hey
question
how would i go about proving or disproving this. don't want the answer, just the first step
use the definition of m|n first
you should have learned that if you are asked to prove things about divisibility
these are questions that haven't been covered yet
*topics
also is it assumed that the devisor is the same in all 3 statements?
@strange crater
if m | n then there exists some k such that n = mk. you got that right
since the conclusion is a negative statement, it might be easiest to prove by contradiction
yeah
assume $m | n$, and $d \nmid n$ and $d | m$
cwatson
and reach a contradiction
m!=d
ok
ok i tried assuming that d|m and ended up getting k!=1
i don't think im approaching the question correctly. no?
@strange crater
so you have n=mk as one assumption, and you're also assuming the negative of the conclusion, so that d|m. but that doesn't mean m=dk; i.e., it won't be "the same k" for both necessarily
so assume m = dj for some j
so you have n = mk, and m = dj
then what would you do?
rearrange and get n/k=dj?
hmmm
so, go back. what is the next step after seeing that n=mk, m=dj
substituting
which gives you what?
n=djk
now what does that mean, right there?
means m=dj
you started w/ that already
just look at n=djk itself
and look back at your starting assumptions
how would it? you used n=mk (along with m=dj) to get to n=djk
yes my bad
no worries. look at all the starting assumptions
unsure
what if it was written like n = d(jk)
think of the definitions you used to start the proof
if $m | n \leftrightarrow n = mk$ then what does $n = d(jk)$ tell you
cwatson
remember, we're looking for a contradiction to be reached
does $n=d(jk)$ contradict any of the assumptions: $m | n$, and $d \nmid n$ and $d | m$
cwatson
i think i understand it now but i don't know how to write it
if you understand, then explain in words
actually my line of reasoning didn't make sense, nvm
ok i don't know. another hint? @strange crater
if I tell you that you don't need to do anything more, does that help? you have enough finished to conclude the proof...
which of the 3 assumptions have we not used so far?
n!=gd
cwatson
so what does that tell you?
d!=d?
no, you're not manipulating equations here
if I told you "let g = jk"
then what?
why is that something we can assume?
because j and k are just integers. so their product is another integer. we can just call it "g", or "x", or whatever
ah i see fair enough
so by saying $n = d(jk) = (jk)d = gd$, we are saying that $d | n$, which contradicts our (given) assumption that $d \nmid n$
cwatson
ok that's where the issue was in my understanding, got to jk!=g and didn't know where to go
thank you very much @strange crater
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idk how to convert them
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how do i solve for 0<x<180? i did tan(3)^-1 to get 71.57 and i divided that by 2 to get 35.78 but one of the other answers is 125.78 and idk how to get that
if 0<x<180 then 0<2x<360 - for these types of questions it can be easier to make a substitution such as u=2x, solve for u first, and then from there solve for x
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Im trying to determine the function for the sum of this power series
Im figuring its something with e^x^2 but the (n+1)n! Part is really throwing me off
Maybe make a substitution in the sum to change the n+1 into n
Reindex
Reindex?
How would i go about doing that ?
Also according to wolfram its
As in your original was
[
\sum_{n=0}^{\infty} \frac{x^{2n}}{(n+1)!}
]
we're suggesting to shift the terms so that the $n + 1$ turns into $n$ in the sum
@dull bear
||probably where your series started from and taking into account that||
Oop
Well let u = n+1
this here
i actually tried and found it... a few steps after this and u r done
Okay so i got, U!
How does that do anything cuz i dont know where to go from, dont think ive learned this approch looking through the text book
should i try to explain or share soln, cox soln is easy to look at and understand
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So if u_1 = 16, then we want to find the number x such that u_x = 1/8. The question is just saying how far we have to go in the sequence to get to 1/8
hm, so n = 7
?
u1 = 16
u2=8
u3=4
u4=2
u5=1
u6=1/2
u7=1/4
u8=1/8
that's right but you also have to include the 16 at the beginning in your counting so it would be 8
no problem 🙂
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for this: https://i.imgur.com/HmN4rkF.png
is it 15 * 14 * 13 + 10 * 9 * 8?
yes
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ty
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Have I evaluated this correctly?
,rcw
what do you need to calculate?
F'(x)
not quite
you would have to multiply it by the derivative of the ineer function
due to the chain rule
Oh, I thought the chain rule was just for say if it was like integral[5,x^2]
So would it just be F'= -4x^3tan(x^4)?
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What math rule allows this?
ithink its fractional exponent
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does derivatives mean slope?

