Yes
#help-0
magic pollen
wheat isle
Would it make sense to say the range of e^x would be all yER such that y>0 or would it only be y>0 and why?
alpine sable
imo, both are fine since its implied that y is a real number
but if you want to be extra clear, the first option is good
wheat isle
and I can write it like {yER:y>0} right
alpine sable
yes
wheat isle
Alright thanks
alpine sable
yw
wheat isle
.close
lone heartBOT
vale wigeon
.reopen
lone heartBOT
✅
vale wigeon
if you can't type the set membership symbol ∈, it's better to replace it with in rather than E
{y in R : y > 0}
just a style thing
lone heartBOT
@wheat isle Has your question been resolved?
wheat isle
yER visually more appealing than y in I stand my point 
mic drop
or how y’all mathematicians call it
lyric geyser
i dont quite understand where the red 1/x comes from, id like a bit of help ty
lyric geyser
heres the function
lyric geyser
je ne comprends pas trop d'où viens le rouge
lyric geyser
mais ensuite le bleu?
vale crag
$$\pdv{}{y}\left(\frac{1}{x}yh'_t(t)\right) = \frac{1}{x}\pdv{}{y}\left(yh'_t(t)\right)$$
ocean sealBOT
_aplatypus
vale crag
mais ensuite le bleu?
tu refais ta chain rule
un peu comme à la 1ère étape
t'as $$\pdv{}{y}\left(yh'_t(t)\right) = \pdv{}{y}\left(y\right) h'_t(t) + y \pdv{}{y}\left(h'_t(t)\right)$$
euh
il me manque un truc là
ocean sealBOT
_aplatypus
vale crag
ah voila (ça c'est juste une product rule pas trop de problème là dessus normalement)
la dérivée partielle tout à droite c'est une fonction composée
t dépend de x et y ici
ocean sealBOT
_aplatypus
vale crag
d/dt (h' (t)) c'est h''(t)
et dt/dy = 1/x
là c'est la fonction composée que j'utilise
@lyric geyser
vale crag
yus
même en plusieurs variables, les dérivées ça reste très mécanique
c'est juste un peu plus le bordel à gérer
raw jetty
assume there is an equilateral triange ABC with lenghts 10, and there is a circle that touches sife AB and AC and touches the outer triangle circle, and the points where the circle touched AB and AC arecalled f and g. what is the area of triangle AFG?
raw jetty
currently i have no idea on what to do
all i know is that AFG is an ewuilateral triangle i think
heady panther
2 5 7 10 what is next number ?
raw jetty
read #❓how-to-get-help ,not here
also it is a very basic aritmathic series
heady panther
So Say Answer
vale wigeon
read <#488120190538743810> ,not here
also it is a very basic aritmathic series
not an arithmetic series
vale wigeon
So Say Answer
we don't do that here
raw jetty
i just scanned trough the wuestion and thought it was a diffrence of 3 series
heady panther
NO ANY ONE CAN ANSWER MY QEUSTION
I KNOW THE ANSWER BUT I WANT KNOW HOW MUCH YOU KNOW
raw jetty
then tell the answer kid
vale wigeon
I KNOW THE ANSWER BUT I WANT KNOW HOW MUCH YOU KNOW
FUCK OFF
heady panther
OK YOU KNOW I ASK YOU QUESTION
raw jetty
guys how much your precdicting hes underaged
vale wigeon
assume there is an equilateral triange ABC with lenghts 10, and there is a circl...
got a diagram for this?
raw jetty
uhh
heady panther
THE ANSWER IS 15
vale wigeon
if you haven't then now's as good a time as ever to make one
heady panther
IS TERM TO TERM ADD 2 THEN ADD 3
raw jetty
the question is in text so i have to make one myself
vale wigeon
yes you do
heady panther
that isnt even correct 😭
PROVE
raw jetty
10+2=12
raw jetty
why
gray isle
if you want genuine help, claim your own channel, don't invade others
and don't test helpers
raw jetty
do you guys think he is 10 or 11
gray isle
and don't talk in all caps
raw jetty
or maybe 9
vale wigeon
@heady panther stop.
heady panther
WHY
vale wigeon
@raw jetty do not encourage channel intrusion.
heady panther
I COME TO USE APP
gray isle
think this is more than worthy of a <@&268886789983436800>
raw jetty
<@750992393502720010> do not encourage channel intrusion.
yeah ok
heady panther
BUT YOU NOT RESPECT TO ME
raw jetty
do you reccomend any website/app to draw those geometric stuff on phone?
gray isle
draw on paper
heady panther
GOOD BYE THAT NOT MY PLACE
raw jetty
i dont have a pen
raw jetty
i have paper but no writing tools
gray isle
do you have a stylus for your phone?
i think you're going to be better of coming back to this problem when you can properly write down the work
raw jetty
sorry if the drawing sucks
the last time i tried to approach it i set the point where the smaller circle touches the outer circle to be like N or smth, then i tried to find it ysing the basis that AFG=FGN but i have no idea if that was even correct or not
lone heartBOT
@raw jetty Has your question been resolved?
lone heartBOT
@raw jetty Has your question been resolved?
raw jetty
<@&286206848099549185>
gray isle
draw the radii from the centre of the small circle to the points of contact
and to A as well
subtle birch
Okay so here is what I did
Find radius of bigger circle and find height of triangle
Now set three variables GC=y
OC=r
OD=x
where O is centre of smaller circle and D is the bisector of BC
Now you have OG is perpendicular to AC
So you got two right triangles OAG and ODC
you'll get two equations in r,y,x
Observe the length DE is just diameter of larger circle minus height of triangle
where E is the point of contact of two circles
So you can get another relation between r and x
3 equations and 3 variables
solvable
@raw jetty
lone heartBOT
subtle birch
All the time I invested...
lone heartBOT
Available help channel!
sick lion
Find at positive x the minimum value x^4+3/x
lone heartBOT
Find at positive x the minimum value x^4+3/x
subtle birch
$\frac{x^{4}+3}{x}$
This?
ocean sealBOT
beard420
charred summit
or $\frac{3}{x}+{x^{4}}$
ocean sealBOT
sherif_player
charred summit
So did you study calculus?
sick lion
No
charred summit
No
Oh
So solving this problem would be mush easier if you have studied it.
But in what way do you want it
sick lion
I need to solve it.
wind cloak
How would you even do this without derivatives
charred summit
How would you even do this without derivatives
Yeah that is what I wanted to ask
$\frac{-3}{x^2} + {4x^3}$
ocean sealBOT
sherif_player
charred summit
Yes, that's derivative
You said that you don't know calculus.
How did you know that it is the derivative?
charred summit
**sherif\_player**
Yeah then substitute this in the original expression which is this
To know the minimum value
lone heartBOT
@sick lion Has your question been resolved?
autumn vigil
x^2+(a-b)x+(1-a-b)=0 find the condition for a for which roots are imaginary ∀ b∈R
autumn vigil
I have been taught the method of taking D>0 and then making another quadratic in b and then taking its D>0 for the other part (which was real and unequal roots) but i am not able to understand what to use in this
wet nest
First D<0
autumn vigil
did that...and i get b^2+(4-2a)b +(4a-4+a^2)
wet nest
And when you get the quadratic in b. It's Discriminant must be greater than 0 since b is a real number
Questions has said for all b belongs to R
autumn vigil
And when you get the quadratic in b. It's Discriminant must be greater than 0 si...
yes i did it and i get a<1 but the answer is no solution
wet nest
Wait there is no solution, right
autumn vigil
yes
wet nest
did that...and i get b^2+(4-2a)b +(4a-4+a^2)
What condition do we have?
This is less than 0
autumn vigil
What condition do we have?
This is less than 0
yeah <0
wet nest
What condition must a quadratic follow to be always negative
autumn vigil
What condition must a quadratic follow to be always negative
umm....d<0
wet nest
And b<0
autumn vigil
ohh yes
autumn vigil
ummm lemme see what u wrote and think again lmao
autumn vigil
ohh so can i write it like this? b^2+(4-2a)b +(4a-4+a^2)<0 but for a quad to be <0 a<0 but it has >a so there is no sol? @wet nest
autumn vigil
but if i make D<0 then i get a>1
wet nest
Leave a
autumn vigil
alright
got it
can u solve another question related to range of quad??
or i have to create another channel?
wet nest
Send the question
autumn vigil
y=(x^2-3x-2)/(x^2-2x-5) find range
instead of x there was tan but as tan has its range as all real values so i took it as x
wet nest
What is the answer?
autumn vigil
dont know
timber latch
y=(x^2-3x-2)/(x^2-2x-5) find range
umm
ok so
first perform long division
or
lets do it without division
we see limits at both inf and -inf are 1
now we need all critical points
they are
autumn vigil
now we need all critical points
uhh i havent learn till that much
timber latch
zeroes of f'(x) and places where its undefined
timber latch
uhh i havent learn till that much
you dont know diffrentiation yet?
autumn vigil
we are taught a method of taking the denomintor to left and making a quad in x and solving by suing D formula
autumn vigil
you dont know diffrentiation yet?
just a little bit to solve physics questions.....in which i am not good
timber latch
diffrentiation is simpler method
timber latch
just a little bit to solve physics questions.....in which i am not good
you dont happen to be in 11th grade in india do you
autumn vigil
you dont happen to be in 11th grade in india do you
i am lmao
timber latch
knew it
autumn vigil
lmao
autumn vigil
ohh in maths? or in physics
timber latch
the discriminant method is annoying af
timber latch
ohh in maths? or in physics
from youtube i meant
lack of diffrentiation makes this hella annoying
ok so
take denominator to other side
autumn vigil
lack of diffrentiation makes this hella annoying
yeah it does but i gotta do it by this method
autumn vigil
someone got an F on their addition exam
lol
autumn vigil
write it as quadratic in x in standard form
done it and got roots as (40 ±root(-32))/48
timber latch
i meant solving the quad in y gives that which we got by D of z
wait so
just close this channel and go to a new one
autumn vigil
just close this channel and go to a new one
yeah..i'll ping ya there
sleek gyro
jeez
autumn vigil
..close
sleek gyro
im sorry, taken care of
autumn vigil
.close
lone heartBOT
autumn vigil
oh....i closed
lone heartBOT
Available help channel!
alpine sable
Hey, I am currently working on my terrible math, and seem to not be understanding this rather basic principle.
What exactly is the reason that in this exercise y isn't 2/(p+q) but 8/(p+q+4), why can't you simplify?
gray isle
basic fraction simplification involves
multiplying/dividing the whole of the numerator and denominator by the same value,
(effectively multiplying by 1)
and/or cancelling a common factor
you can't divide the numerator by 2
while only dividing only a single term in the denominator by 2
in your case it's not quite that,
but either way, not valid
which changes the ratio
alpine sable
you can't divide the numerator by 2
while only dividing only a single term in th...
Makes complete sense, just so I am sure I understand correctly, does this imply that (even though obviously undesirable) this would be correct?
alpine sable
mhm
gray isle
don't overthink the value of 4/4
tardy stag
$y = \frac{2}{\frac{p}{4} + \frac{q}{4} + \frac{4}{4}}$
ocean sealBOT
Hayley
alpine sable
don't overthink the value of 4/4
yeah, so adding a +1 would be correct in this case at the end presumably
or am i misunderstanding still?
gray isle
+1 in the denominator, in the place of the 4/4,
tardy stag
$y = \frac{2}{\frac{p}{4} + \frac{q}{4} + \cancel\frac{4}{4}1}$
ocean sealBOT
Hayley
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
tardy stag
oh god
alpine sable
lol
gray isle
$y = \frac{2}{\frac{p}{4} + \frac{q}{4} + \cancelto{1}{\frac{4}{4}}}$
ocean sealBOT
ℝamonov
gray isle
good enough
alpine sable
okay thanks for the answers & help guys, this makes sense now; even though latex doesnt seem to enjoy this very much :p
.close
strong summit
lone heartBOT
strong summit
For e I got this
How do I put this as an inequality
Is it x bigger than or x smaller than 1?
tacit arch
"increasing" means the derivative is nonnegative
strong summit
"increasing" means the derivative is nonnegative
Meaning?
strong summit
Yeah Ik that but how does that help
tacit arch
have you seen these symbols before
< , >
strong summit
Yeah inequalities which is supposed to be the final answer
tacit arch
< is "less than"
e.g. 2 < 3 is a true statement
and > is "greater than"
e.g. 1 > 0 is also a true statement
strong summit
Ik that
But here I got 2 answers for x that equal the same
Idk what to do with that
tacit arch
But here I got 2 answers for x that equal the same
!show
lone heartBOT
But here I got 2 answers for x that equal the same
Show your work, and if possible, explain where you are stuck.
strong summit
This…..
tacit arch
But here I got 2 answers for x that equal the same
where are your 2 values?
what do you mean "equal the same"
strong summit
(X-1)(x-1)
If I put ‘‘em in a number line
The answer could be positive if it’s less than or bigger than 1
tacit arch
do you know (x-1)(x-1) = (x-1)^2 ?
strong summit
Yeah
tacit arch
are squares of numbers ever negative?
strong summit
No
tacit arch
or equivalently, does the graph of (x-1)^2 ever go below the x-axis
ocean sealBOT
strong summit
Do I just write all values of x are increasing?
tacit arch
just use words
proper heron
lone heartBOT
trim sorrel
Can you state the commutative property?
proper heron
What
proper heron
commutative property in math means you can switch the order of numbers being added or multiplied without changing the result.
spare canopy
oops
lone heartBOT
@proper heron Has your question been resolved?
lone heartBOT
lone heartBOT
Available help channel!
lone atlas
lone heartBOT
ocean sealBOT
v3ryberry
lone atlas
wary stream
It is
naive valley
your work all looks fine, but you didn't actually show the question
wary stream
$\frac{1}{4} \left(x + 3\right)^1 = \frac{1}{4}x + \frac{3}{4}$
ocean sealBOT
dldh06
wary stream
I'm assuming the first image is the answer key
lone atlas
yeah the first answer is the answer key
naive valley
ahh i see thx
lone atlas
I was just wondering if my answer was wrong
naive valley
no wonder it looks correct haha
i have no idea why they felt the need to put the 1 exponent
wary stream
It's not clear what your answer as I don't see a y = answer
I see all the math, but what's the final answer you got?
naive valley
is that the equation in the upper right corner?
best if you can write stuff in order and maybe put a box around the answer 😁
lone atlas
No you guys answered it already
I didn't understand why my answer was different from the answer key
but if both the answers mean the same thing then it's ok
wary stream
Answer key was just in a different format, that was all
Because don't forget x/4 = (1/4)x
harsh pewter
Hey guys I am currently in class 11th And on 7/7/23 I have my maths exam can Anyone Give me overview or idea about what exactly linear inequalities is ?
wary stream
harsh pewter
thank you Bot you owe me
wary stream
What?
lone heartBOT
@harsh pewter Has your question been resolved?
tacit arch
.close
woeful current
lone heartBOT
woeful current
Help plz
worn fox
naive valley
trim sorrel
HAHAHA
woeful current
95% of people can’t solve!
trim sorrel
More than 95
vague coral
tacit arch
!elliptic curve meme
lone heartBOT
🍎 = 154476802108746166441951315019919837485664325669565431700026634898253202035277999
🍌 = 36875131794129999827197811565225474825492979968971970996283137471637224634055579
🍍 = 4373612677928697257861252602371390152816537558161613618621437993378423467772036
tacit arch
!solved
woeful current
Ok at least explain why it can’t be solved then
trim sorrel
trim sorrel
I wrote the proof in the margin of my book but i cant find it
Sorry
I would be able to if i knew where it was tho
woeful current
No issue, shouldn’t be too hard to remember then
trim sorrel
Somehow its slipping my mind
hazy loom
!solved
btw srry if this isn’t math related but you haven’t used your boosts ok me out srry once again 
lone heartBOT
Available help channel!
snow lichen
There are two parking garages in Beacon Falls. Garage A charges $7.00 to park for the first 2 hours, and each additional hour costs $3.00. Garage B charges $3.25 per hour to park. When a person parks for at least 2 hours, write equations to model the cost of parking for a total of x hours in Garage A and Garage B.
help?
tacit arch
> There are two parking garages in Beacon Falls. Garage A charges $7.00 to park...
try writing out a table of numbers for 1,2,3,4,5 hours
snow lichen
try writing out a table of numbers for 1,2,3,4,5 hours
i need an equation first
tacit arch
no you don't
Garage A charges $7.00 to park for the first 2 hours, and each additional hour costs $3.00
snow lichen
> Garage A charges $7.00 to park for the first 2 hours, and each additional hour...
When a person parks for at least 2 hours, write equations
tacit arch
try writing out a table of numbers for 1,2,3,4,5 hours
but you don't need an equation to do this
tacit arch
nope
snow lichen
how?
tacit arch
Garage A charges $7.00 to park for the first 2 hours
snow lichen
> Garage A charges $7.00 to park for the first 2 hours
so 14 for those 2 hours
tacit arch
again, no
snow lichen
how?
tacit arch
$7 for two hours
snow lichen
OOHHHHHHHHHHHHHHHHHHHH
tacit arch
doesn't matter if you park for 1 minute
snow lichen
omg
tacit arch
try writing out a table of numbers for 1,2,3,4,5 hours
do this for each garage
snow lichen
do this for each garage
garage A
7, 7, 10, 13, 16,
Garage B
3.25, 6.50, 9.75, 12, 15.25
tacit arch
A looks right. B does not
tacit arch
are you done?
snow lichen
doesn't matter if you park for 1 minute
but 1 miniute is not an hour
tacit arch
oh no you need equations
snow lichen
are you done?
im confused with the equation
tacit arch
try plotting
tacit arch
have you seen equations of lines before
snow lichen
if i park for 1 minute, is that still 7 dollars?
tacit arch
y = mx + b maybe
tacit arch
if i park for 1 minute, is that still 7 dollars?
yes
tacit arch
garage A is harder than garage B. i suggest working on B first
snow lichen
garage A is harder than garage B. i suggest working on B first
3.25x
tacit arch
great you're done with B
snow lichen
just english
but 1 minute is not 2 hours
tacit arch
indeed it isn't
snow lichen
indeed it isn't
so its not 7
tacit arch
no. it is
snow lichen
you could do it with piecewise function
ya but we havent even made an equation for first graph
tacit arch
you specifically said you didn't want to graph
you don't need to graph to find the equation for garage A
snow lichen
you specifically said you didn't want to graph
sorry we havent made an equation for garage a
tacit arch
you could do it with piecewise function
this is a type of equation
watch this lesson
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:absolute-value-piecewise-functions/x2f8bb11595b61c86:piecewise-functions/v/piecewise-function-example
tacit arch
try making a piecewise one
snow lichen
try making a piecewise one
huh?
snow lichen
you said you know what piece functions are
but dont i need an equation?
tacit arch
this is a type of equation
.
tacit arch
that picture is itself a piecewise defined equation
use your numbers from here to similarly define one
7, 7, 10, 13, 16,
snow lichen
use your numbers from here to similarly define one
> 7, 7, 10, 13, 16,
how tho?
like if i use 7
and do it from 1-5?
tacit arch
and do it from 1-5?
what's 5 here
snow lichen
what's 5 here
the hours?
tacit arch
7 is the price for the first two hours
at hour 3, the price is $10
and at hour 5, the price is $16
so 7 wouldn't be the price for the first 5 hours
snow lichen
so 7 wouldn't be the price for the first 5 hours
bro so we use all the numbers from price 7-16?
and graph it from 1-5?
snow lichen
write a piece wise function
can we just write and equation from the table?
1:7
2:7
3:10
4:13
5:16
tacit arch
try it yourself
snow lichen
try it yourself
it wont work
like i cant find anything
and the calc cant either
hello?
tacit arch
Your piecewise function should be one function for x <=2 and another function for x> 2
snow lichen
.close
rich moat
lone heartBOT
@rich moat Has your question been resolved?
digital moon
lone heartBOT
digital moon
Status 1
willow patio
Do you remember how to complete the square @digital moon?
lone heartBOT
@digital moon Has your question been resolved?
wintry panther
Try to simplify $\frac{a^2+a(a+1)+(a+1)^2}{a^3(a+1)^3}$ and see what you get
ocean sealBOT
Cain
wintry panther
Try to get telescoping series
It's actually 1/a^3 - 1/(a+1)^3
I got to go now
Good luck
lone heartBOT
@alpine sable Has your question been resolved?
trim sorrel
,w expand a^2 + a(a+1) + (a+1)^2
ocean sealBOT
flat dawn
Tis the same
huh, I guess so
lone heartBOT
trim sorrel
Oop
lone heartBOT
Available help channel!
midnight forge
1+1=?
wheat isle
3
glass estuary
lone heartBOT
lone heartBOT
Available help channel!
icy jewel
lone heartBOT
toxic comet
read the given distances carefully
visual girder
i probably shouldnt say this but have u tried googling the question lol
there could be a step by step solution thingy online that u can use
icy jewel
fair point
considering how lazy and stupid my teacher is she probably hasnt changed the hw in years
considering she doesnt even have the time to respond to emails
visual girder
dang 💀
whole marten
o;-;
tardy stag
I can't tell what you did wrong
i mean you did something wrong
but I can't tell what it was, how did you get those values? like the angle
visual girder
i cant find answer
try gautmath
icy jewel
but I can't tell what it was, how did you get those values? like the angle
triangle calculator
whole marten
mine comes out near to 243 ;-;
tardy stag
mine comes out near to 243 ;-;
that's what I got as well
whole marten
wheat isle
I’m unsure how to approach part B and C
lone heartBOT
I’m unsure how to approach part B and C
upbeat hornet
For b, you just have to substitute t = 0 into the equation since that's what it means
For c, it is very similar
wheat isle
So N = 450(3)?
For part B
Actually
It would just be 450 right
450(3^0) = 450(1)
upbeat hornet
Yes
wheat isle
And part C i is 450(3^3)?
Assuming you sub in 3 for t
Actually
450(3^(0.9*3))
Cheers
.close
warped horizon
Are the steps i used here correct ?
lone heartBOT
Are the steps i used here correct ?
warped horizon
I got the answer but im kinda skeptical about the simplification
Like where i cancelled 2 and 12
Is it right to do that step ?
tardy stag
near the beginning you went from $\frac{r}{1/2}$ to $\frac{r}{2}$ and that doesn't seem right
ocean sealBOT
Hayley
tardy stag
cancelling 2 and 12 is fine there
warped horizon
Oeh okay
warped horizon
**Hayley**
Nono its r/2 i made a mistake
ornate ginkgo
I assume you want to find the distance of the point (x1,y1) intersection of both lines from (3,4)
warped horizon
everything else seems fine algebraically
Oh what about the x substitution in the beggining
warped horizon
I assume you want to find the distance of the point (x1,y1) intersection of both...
Yeye
tardy stag
Oh what about the x substitution in the beggining
this one? I assume you have an equation somewhere that says 10x + 5y + 10 = 0
warped horizon
One sec
ornate ginkgo
It's 12
tardy stag
<@246857845285453824> this
oh! yeah the solving each of the equations for x and y is fine, once I figured out that your $r$ wasn't a $\pi$
ocean sealBOT
Hayley
tardy stag
grave lily
lone heartBOT
grave lily
this is the problem i am working on
i was able to solve the differential equation but i am stuck on how to find the domain
lone heartBOT
@grave lily Has your question been resolved?
grave lily
<@&286206848099549185>
tacit arch
i was able to solve the differential equation but i am stuck on how to find the ...
do you know what y(1) = 0 means?
grave lily
I’m not entirely sure could you clarify for me
lone heartBOT
@grave lily Has your question been resolved?
grave lily
.close
foggy reef
lone heartBOT
foggy reef
can someone pls explain to me why the inequality reverses
foggy reef
how is it negative?
little hazel
np
foggy reef
.close
lone heartBOT
lone heartBOT
Available help channel!
still wadi
lone heartBOT
still wadi
need some help here
lone heartBOT
Show your work, and if possible, explain where you are stuck.
still wadi
Mr. Bot, not possible cause I have no clue where to start. That's why I need help
<@&286206848099549185>
I finished that problem, now I need help with a new one
no
lone heartBOT
@still wadi Has your question been resolved?
alpine sable
lone heartBOT
alpine sable
When I set this up i get m = c1e^x + c2e^-x
does it matter which order i do this in
mortal trellis
c1 e^-x + c2 e^x is the same
alpine sable
okay i just want to verify, my solution manuel does it differently so i wanted to make sure there wasnt some rule i was missing
thank you 🙂
okay another question
alpine sable
c1 e^-x + c2 e^x is the same
Im getting down to the point where im getting the determinate of the wonskian, and doing the thing thats similar to cramers rule.
im getting 2, e^xcoshx and e^-xcoshx
so i simplifly the 2 expressions on the right, divide them by 2 and then take the integral?
IE e^xcoshx = 1/2(e^2x +1)
then divide that by 2 and take the integral right?
mortal trellis
i don't remember enough about odes to help you there, sry
lone heartBOT
ocean sealBOT
1shero1
mortal trellis
well if you combine all these fractions again you will be left with (some polynomial)/q(x)
and that (some polynomial) is p(x) if you choose the A_i correctly
there are proofs
but none that I know that give more intuition
than just "you can do it, here is even an algorithm for how to"
mellow grail
Idk, but I guess you could reason that any constant A_I times (x-a_i) will also be a polynomial as long as A_I is not 0
so when you do add these up
mellow grail
well if you combine all these fractions again you will be left with (some polyno...
it becomes this
to be more formal, (sum of A_i)x - (sum of a_i)(sum of A_i)/q(x)
mortal trellis
but you dont want that because?
writing this down formally is just an exercise in using sum and product notation
craggy trellis
Need help pls
craggy trellis
.close
craggy trellis
help
lone heartBOT
help
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
methisalwaysright
lone heartBOT
@craggy trellis Has your question been resolved?
ruby current
the only nontrivial factors of a quadratic are linear
worn fox
You have to specify over what field it is not factorisable
ruby current
usually Q in the high school sense
chilly crag
Likely that it has nor real roots
But it lacks context as Zac said
Or Sac or EAC idk how to write it sry
lone heartBOT
ruby current
not sure about irrational roots
i think we regard irrational roots as not irreducible
lone heartBOT
Available help channel!
lone heartBOT
vale wigeon
do you know how percentages work
well you either do or you don't
why urgent?
are you in a test?
we don't help on tests.
it's against the rules and even bannable.
well that sorted itself out relatively quickly
.close
lone heartBOT
lone heartBOT
Available help channel!
primal flume
Could anyone help me with trigonometry and finding side lengths using trig ratios and multiplication
subtle birch
Question pic on the way?
primal flume
one sec lemme pull up the powerpoint
so the angle was 32 degrees and the side length was 4.6cm
ebon sparrow
Use sine ratio
subtle birch
so the angle was 32 degrees and the side length was 4.6cm
draw a diagram and label all these and send a pic
primal flume
no
subtle birch
it is the ratio of opposite side and hypotenuse in a right triangle
primal flume
oh like SohCahToa?
subtle birch
Yes
subtle birch
primal flume
im sorry but I have absolutely zero clue what that means
do you think you could walk me through what the question is asking?
ebon sparrow
[sin(32) = \frac{4.6}{x}]
ocean sealBOT
Akira
ebon sparrow
@primal flume solve for x
ebon sparrow
Start with cross multiplication first
ebon sparrow
Yes
primal flume
k
primal flume
not really
primal flume
yep
ebon sparrow
You need always remember sohcahtoa definitions
primal flume
You need always remember sohcahtoa definitions
yep i have them in my notebook
ebon sparrow
That's good
primal flume
did i do that right?
primal flume
isnt it sin32 times x?
primal flume
oh yeah
ebon sparrow
,calc sin (32)
ocean sealBOT
Result:
0.55142668124169
8.341997506616519?
ocean sealBOT
Akira
primal flume
yeah sorry just trying to process what i just did
primal flume
....
ebon sparrow
ye
ebon sparrow
Isn't the question asking to find AC? Then you need find the Hypotenuse
That's why we used the sine ratio
primal flume
ebon sparrow
Yeah
ebon sparrow
Yep
primal flume
and you use x because its an unknown value
ebon sparrow
Yeah
primal flume
but why use cross mulitplication?
ocean sealBOT
Akira
ebon sparrow
@primal flume
ebon sparrow
By cross multiplying these two fractions, you can easily solve for the variable at hand thanks to the reduction to only one equation
primal flume
?
ebon sparrow
Yes
primal flume
ah yes
primal flume
nearly
ebon sparrow
Okay
ebon sparrow
Angle CB?
primal flume
the opposite of a right angle triangle is the side opposite to the non right angle
isnt it?
ebon sparrow
It's the hypotenuse
primal flume
what?
primal flume
oh ok
so we figured out the adjacent right?
or sorry i measured the adjacent instead of the opposite
ebon sparrow
They already given you the opposite
Not sure if you need to find Hypotenuse or adjacent
Let's find adjacent
Tan or cos
But your question asking to find AC
Which is Hypotenuse
primal flume
is this the adjacent side?
ebon sparrow
so we did Tan instead of Cos
Use cos
ebon sparrow
It's fine
ebon sparrow
Oh okay
primal flume
ebon sparrow
Is this a different one?
primal flume
so i was supposed to measure the opposite but i measured the adjacent
ebon sparrow
I see
primal flume
sin(32)x = 2.8?
primal flume
oh
ebon sparrow
Have you heard of wolfram like do you know how to use it?
primal flume
no
ebon sparrow
,w sin(32)x = 2.8?
ocean sealBOT
primal flume
k thanks
ebon sparrow
np
primal flume
do you have to go?
@ebon sparrow you probably wont see this but thanks for all your help :)
mods ill close it soon i just have to take notes
.
.
ebon sparrow
do you have to go?
I just opened my pc
ebon sparrow
you can solve the cos ratio just like this
ebon sparrow
mods ill close it soon i just have to take notes
you can watch khan academy for this if you wish
ebon sparrow
still stuck?
primal flume
no im just figuring out the other questions
ebon sparrow
this one right?
ebon sparrow
oh so you're moving to another question
primal flume
yep
ebon sparrow
then you're all set
ebon sparrow
you can still open a new channel at any time
primal flume
ok
i might just keep this one open because im nearly at the next question
which i dont know
ebon sparrow
can i see it
primal flume
ebon sparrow
okay so you need to use cosine ratio this time
what do you need find for A or H?
what are the numbers given
primal flume
what are the numbers given
i gotta measure them one sec
ebon sparrow
okay
primal flume
,w tan(21)x = 3.6?
ocean sealBOT
primal flume
oh that was another question
ebon sparrow
oh lol
ebon sparrow
no thats opposite side