help-0

[stuck jolt]

I guess my question will dissapear again, oh well lmfao

[slender girder]

how do you check if a channel is occupied or not

[glass lichen]

timestamps

and common sense

[stuck jolt]

Good answer in my opinion

[slender girder]

timestamps?

where do you check that

[sly mantle]

occupied channels generally have ongoing convos or questions posted a few min ago

[slender girder]

oh wait you are an actual person

[glass lichen]

Discord displays the time something was posted when you hover over the message or beside the username if it's the 1st in a block of messages

[slender girder]

i thought you are a bot

my bad

[stuck jolt]

Okay

I will repost my question again

[wintry vortex]

anyone mind helping me makes sense of this?
im on board for a bit but its confusing me when it bring the quadrants into it
im at sin(t)=-55.26 or 304.74 standard form. 55.26 reference angle

I dont know why my answer atm is wrong

its just asking what (-) is and i got -55.26 but its wrong

[jade birch]

what is sin(t)=-55.26 supposed to mean?

[wintry vortex]

idk how to make the theta symbol on my keyboard

[jade birch]

-1 <= sin(t) <= 1
for all real t

[wintry vortex]

im looking for that one right now

Im just alittle lost on why my answer is wrong

I followed their example

[jade birch]

,calc sin(-55.26)

[ocean seal]

Result:

0.9604650214105

[alpine sable]

that angle is not between 0 and 360

[wintry vortex]

i got the -55.26 by doind arcsin(-0.8217

[jade birch]

Oh yeah, this

that's your reference angle I assume?

[wintry vortex]

55.26 is reference angle that i got

[jade birch]

One you find that, because sin(t) is negative, you need to find the angles in quadrant III and IV

[wintry vortex]

thats the part that rly throwing me for a loop

[jade birch]

you found one, which is 360-55.26

thats the quadrant IV angle

you're missing the quadrant III angle

[wintry vortex]

I get what quadrants are now, learned it earlier today lol. But how do I apply that to this question?

now im even more lost

how did they get that answer?

[sharp idol]

checking my work for homework but the answer to this would be 1,226 right or am I wrong

[wintry vortex]

I dont get the difference in this question between quadrants. I get that sin being negative means its in q3 or 4 because sin=y/r but i dont understand what the different is

[glass lichen]

what do you mean what the difference is?

[wintry vortex]

I dont understand how to get an answer for each quadrant

ya, every way i do it its wrong

even when i read them doing their equation it seems like they arent using their own equation

like the (t)-180=61..99degrees

they found earlier that (t)=-61.99 so idk where they are getting that solution

[glass lichen]

arcsin(-.8829)

,w calculate arcsin(-.8829) degrees

[ocean seal]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by moshill1#9771

[glass lichen]

whatever, wolfram being a pain.. anyway it says on the solution you posted that arcsin(-.8829) ~ -61.99deg

[glass lichen]

so from that you can tell the reference angle is ~61.99deg

and then quad 3 angles are 180+reference angle and quad 4 is 360-reference

[wintry vortex]

so you use reference angle not (t)?

[glass lichen]

no clue what (t) is

but yeah... you use the reference angle

[wintry vortex]

i was told thats how to do the theta sign lol

[glass lichen]

just write theta

[wintry vortex]

i dont have a greek keyboard

[glass lichen]

or just say... replace theta with t for ease

[wintry vortex]

ok that worked

why did their equations say something so different

[umbral hatch]

do u know the pythagorus theorem

so what u gotta understand is

the square of a side + the square of another side = square of the largest side

and what do we know about the largest side (hypotenuse)?

it is opposite the what

[scenic wind]

Would i still get this right

is the 1/3 part necessary or can i just leave it as 83%

[umbral hatch]

we cant really say, it depends on ur question, it should say whether to round or not

[scenic wind]

It doesn't it just says as a percentage. If you were doing this question would you have just written 83% and rounded it to 1 dp or would you have also written 1/3 part as well

[umbral hatch]

what

i said that to criticize the question

what i'd have done personally

would be to write 83.3 recurring clearly

and then write below it 83 percent rounded to nearest whole number

[scenic wind]

oh okay thank you anyways 🙂

[lime fossil]

need help finding the limits

i think their something odd about this homework. The limit of f(x) as x approaches to 1+ is only applicable for to get the limit of 1-x

[silver maple]

hi guys and girls, just a quick basic stats question

[lime fossil]

but the the answer will be zero, which will be undefined

[sudden crypt]

@silver maple other channeö

[sudden crypt]

why would it be undefined?

[silver maple]

can I still use the mean to report on a column data if the data is not normally distributed?

[lime fossil]

does not exist*

[sudden crypt]

but does it really not exist? Why shouldnt it exist?

[placid zinc]

Have you tried graphing this?

[sudden crypt]

it has to do with the definition of the x -> 1+ limit

[placid zinc]

Oh haha yeah the limit is even one-sided

[lime fossil]

yeah

[sudden crypt]

so if you have an x -> 1+ limit, the only interval you are concerned about is the (1, infinity) interval, it doesnt matter what happens at (-infinity, 1]

I use () for open intervals btw

[lime fossil]

ohh okay thank you

that's what im trying to say

that x-> 1+ limit, is only applicable for the second but if i evaluate it to find the limit, the answer will be zero from direct subtitution

[sudden crypt]

you mean the limit x -> 1?

do you know when that limit exists?

[lime fossil]

x--->1+??

[sudden crypt]

limit x -> 1 exists only if limit x -> 1+ = limit x -> 1- and if it exists, it is equal to these

[tropic sail]

x-->1t i think

[lime fossil]

thats what i know as well from the one sided limit theorem but it only that limit on the question

[sudden crypt]

well but then you see that limit x -> 1+ is well-defined and equals 0

[hot narwhal]

hy, i have a problem guys, i just wanna now how can i get the sign array of this function

[lime fossil]

I'll ask my teacher bout this one thank you btw @sudden crypt

[glass lichen]

find the critical values (roots of the numerator and denominator) then pick a value on the intervals defined by the crit values you found

[lime fossil]

maybe there's a mistake on the question

[glass lichen]

There's nothing wrong with the question you posted

$\lim_{x\to 1^+}f(x)=\lim_{x\to 1}(1-x)=0$

[ocean seal]

Mosh

[hot narwhal]

thank you @glass lichen

[lime fossil]

ohh thank you

[alpine sable]

Omg y’all smart

[open girder]

i have this question If** f(x) = x+5** , find, in terms of a , f(a^2)-3f(a)+2

[alpine sable]

what do you think f(a) is?

start with that

[open girder]

calculating f(a^2)-3f(a)+2 to find f(a)?

[alpine sable]

No

start with one piece

f(a)

then do f(a^2)

so what do you think f(a) is?

if we know that f(x)=x+5

[open girder]

a+5?

[glass lichen]

yes, f(a)=a+5

[alpine sable]

ok

now what about f(a^2)?

[open girder]

a^2+5??

[alpine sable]

yes

[open girder]

woa

[alpine sable]

so what is your expression now?

plugging in both

[open girder]

(a^2+5)-3(a+5)+2

???

[glass lichen]

yes

then simplify

[open girder]

i get iiit

i was supposed to learn this stuff like 2 years ago but i was trash at it

so now my teacher is skimming through this stuff

i got a^2+22+3a

[glass lichen]

check the constants

5-15+2 isnt 22

[open girder]

oh i did -3(a+5) wrong

those darn signs

i tell u

a^2 - 8 - 3a

[glass lichen]

yes, a^2-3a-8

[open girder]

oh is it important to order them too?

[misty wolf]

its the same answer but its the more common way to do it

[glass lichen]

Not really.. just typical to write it in standard form

[open girder]

alright fair enough

thanks very much guys

lovely people

[graceful gyro]

@glass lichen I think you helped me yesterday with dimensional analysis

[tight locust]

the what derivative?

[graceful gyro]

for instance psubr = r dot

that means dr/dt

[tight locust]

yeah but what derivative is it

ok yeah the time derivative

how can dr/dt be a momenta?

momentum is kgm/s, dr/dt is m/s

[graceful gyro]

thats what I am kinda unsure of aswell

because you have L/T

for dr/dt

[tight locust]

so i guess it's not unit compatible?

[graceful gyro]

people are saying in the course that all equations are dimensionally homogenous

but im having trouble seeing that as well

[tight locust]

maybe it's not a linear momenta?

angular perhaps?

no nvm

[graceful gyro]

yeah i dont think so

[tight locust]

that also does not work

[graceful gyro]

actually

wouldnt it be ML/MT

for conjugate momenta

so the Mass cancels out

<@&286206848099549185>

[glass solstice]

Not to intrude but this is correct right

[charred flint]

this is conjugate momenta, which can be different units, it's like an analogous form of momentum for some physical models

[alpine sable]

If you plug in x=6 do you get 4?

cause I don't

[graceful gyro]

so simply put p_r = L/T?

[charred flint]

yea

[oak chasm]

Use point-slope form.

You have two points. Choose one.

You have have the slope.

y - y coordinate of point = slope(x - x coordinate of point)

[graceful gyro]

these do not have to be the same dimension correct

[charred flint]

the p's are different yea

[graceful gyro]

okay yeah cause for the second one I got L^2 * T^-1

[thorn sundial]

can you guys help me with this

[graceful gyro]

so would cos^2(1) be dimensionless

so basically just L^2 * T^-1 again

[charred flint]

right

[graceful gyro]

for the third one

okay makes sense

okay so I have all those 3 done now let me compute the top

[graceful gyro]

just double checking dim[dp_r/dt] = LT^-2 right?

because you have LT^-1/T

[charred flint]

yup

[graceful gyro]

this isnt too bad just tedious lmao

okay @charred flint what would i do about the 0

[charred flint]

where?

[graceful gyro]

last one

[charred flint]

@rich basin yes, and negative F means the charges are pulled together

[graceful gyro]

of the main subset

dplambda/dt = 0

[charred flint]

0 can be any unit

[graceful gyro]

so L^2T^-2 = 0

because if so everything equals each other

and it would be unit compatible

[charred flint]

yea L^2T^-2

[graceful gyro]

okay awesome

so thats i assume a good thing

that everything is unit compatible

[alpine sable]

why can't I cancel out x in:

that only works when its being multiplied or there is a factor of x on top and bottom

Why though

[hushed pasture]

$\frac{x+1}{x-2} = \frac{x-2+3}{x-2} = 1 + \frac{3}{x-2}$

[ocean seal]

Salah

[short widget]

is this channel free?

[buoyant edge]

Yes.

[short widget]

I have a proof in the book, can someone help me understand it?

[buoyant edge]

Don't ask a question about your question. Just post.

[short widget]

I can share my screen or send u the link

Okay

[buoyant edge]

Post a screenshot, if that is possible.

[short widget]

long proof

theres more but the fire alarm went off ahahahha

Ill be back in 10

im sorry haha

Okay im back

@buoyant edge are u there?

[buoyant edge]

This is outside of my scope, as I'm just starting my first course in Analysis. If no one is able to help you for 15 minutes, you're welcome to ping the helpers, though use this sparingly.

[short widget]

okay thank you!

[pure lion]

is the cauchy principal value of an improper integral supposed to be real? or can it be complex too?

[normal girder]

question

https://gyazo.com/e54c6e6a270a75a39f104c2baf769fa3

how does one solve this

[short widget]

<@&286206848099549185> for my question above. Just need a walkthough of the proof i don't understand it very well

[alpine sable]

I keep on getting 65 what am I doing wrong?

[royal shard]

What part you did not get?

[short widget]

u dont really need to ping helpers for this
(-4)^2 = 16 ,
-2* 16 = -32
-32 + 1 = -31
answer is -31

[royal shard]

the comment of it being trivial is unnecessary _:(

[short widget]

sorry

[alpine sable]

sorry about the ping...thank you @short widget

[short widget]

np

[alpine sable]

its like this right?
column to row
WTB dominance matrix
is it row to coloumn?

for this ***

nvm

[limber ledge]

guys

I have a question

[short widget]

go on

[limber ledge]

Why do we flip the symbol when dividing by a negative

in an inequality

[alpine sable]

Can someone help me with basic geometry homework?

[limber ledge]

is their any specific reason?

[short widget]

like
1 < 2
becomes
-1 > -2

[limber ledge]

yea

[short widget]

well look at that closely

[limber ledge]

no

wait

[short widget]

for constants u can see it is true

[limber ledge]

like in -3x = 9

divide by -3 on each side

[short widget]

it becomes -x = 3

oh

sorry

it becomes

x = -3

[limber ledge]

ok what about 3 - 5x > 18

[short widget]

divide by what

[limber ledge]

why would we flip the sign for that problem

[short widget]

So, u have something on the left greater than something on the right

now greater in magnitude

the greater the magnitude upwards(positive)

the greater the magnitude when u flip it (negative)

so if the left is greater now

when u negate it

it should be smaller than whats on the right

and for our inequality to hold we will need to flip the sign

does that make sense?

1000000 > 10
-1000000 < -10

[lavish cypress]

what part of the proof are you having trouble understanding?

[limber ledge]

I dont have hw problem for this

I was genuinely curious

[short widget]

@lavish cypress i have a bunch of questions starting off why do we remove the i on partial of f in the definition of the deravitive

[short widget]

did i explain it ? or are there still doubts?

[alpine sable]

You need to put the x in brackets

[lavish cypress]

wdym remove the i?

[limber ledge]

👍

[limber ledge]

thanks for answering

[alpine sable]

Theres a difference between:

-2(-4)^2+1 and -2 x -4^2 + 1

np

[alpine sable]

Also Snezel if you're raising a negative 'x' value to any power it should be in brackets.

[short widget]

oh so the i used to iterate over all vector spaces it could map to? @lavish cypress

in this case since we only have 1 we dont need it

right?

[lavish cypress]

they take the case m = 1, because for m > 1, you can just split f into f = (f_1, ..., f_m), in which case you can just apply the theorem to the individual f_i's.

[short widget]

Thank you! okay next question. How do we arrive at the next step after the derivative definition

its just opening up the derivative numerator but where did the summation part go

[lavish cypress]

you mean this part?

[short widget]

yes

[lavish cypress]

first part is just to establish what you're trying to prove

the next step is a trick that they use to rewrite the difference so that they can imply the mean value theorem

[short widget]

Okay, so I know the MVT as giving us a point c that has a tangent parallel to the secant of the points connecting x and y

i dont understand why it applies here

[lavish cypress]

the idea is that you can apply MVT to each of these lines individually

[short widget]

So this will give us N new terms?

[lavish cypress]

that gives you this expression

[short widget]

yes but it doesnt show us the steps of applying MVT

how do i do that?

[lavish cypress]

I'll give you an example for one line

[short widget]

Thank you!!!!

[lavish cypress]

for the first line, [\frac{f(x_1 + h_1, \dots, x_n + h_n) - f(x_1, x_2 + h_2, \dots, x_n + h_n)}{h_1} = \eval{\pdv{f}{x_1}}_{y_1}] for some $y_1 = (a, x_2 + h_2, \dots, x_n + h_n)$, where $a$ lies between $x_1$ and $x_1 + h_1$.

[ocean seal]

Alphyte

[lavish cypress]

this is because if you define $g(x) = f(x, x_2 + h_2, \dots, x_n + h_n)$, then that difference quotient is equal to [ \frac{g(x_1 + h_1) - g(x_1)}{h_1} = g'(a), ] and [\eval{\dv{g}{x}}a = \eval{\pdv{f}{x_1}}{(a, x_2 + h_2, \dots, x_n + h_n)}] by the definition of partial derivative

[ocean seal]

Alphyte

[short widget]

is the last part of the first box because of the Mean value theorem?

[lavish cypress]

yes

[short widget]

where a lies between x1 and x1+h1

[lavish cypress]

and then I justify that last part in the second box

[short widget]

difference quotient referring to what

[lavish cypress]

this

[short widget]

okay ur tidying it up with g(x)

Okay i think i understood that

[lavish cypress]

yeah and then they just use the same logic for all the lines

[short widget]

why did they bring in the triangle inequality?

actually i get why they brought it in but what is the difference between these two h's

[lavish cypress]

h_n is the nth component of h

[short widget]

h is a vector of dimension n (its from the domain?)

the bold H

[lavish cypress]

$\norm{h} = \qty(\sum_{k = 1}^n \abs{h_k}^2)^{1/2}$ is how they're related

[ocean seal]

Alphyte

[lavish cypress]

but the specifics don't really matter

all you gotta know is that the absolute value of the components is less than the norm of the vector

[short widget]

yeah that would make sense

[lavish cypress]

and all the inequalities so it makes the bounding easier

[short widget]

yep yep

okay then the last line says as bold h approaches 0

but its on the left side do we bring it over

[lavish cypress]

wdym the left side?

[short widget]

the right side approaches 0 as h -> 0 but i do not see an h on the right

[lavish cypress]

y1, ..., yn are dependent on h.

and they approach x as h approaches 0

and as the partial derivatives are continuous, the differences also approach 0

[short widget]

from here right?

[lavish cypress]

yes

[short widget]

u sent this earlier

yes

Okay i think that made sense

[lavish cypress]

as h approaches 0, h1, ..., hn also approach 0

[short widget]

im gonna write this down in my own words and i think i got it

Where do you study this stuff?

[lavish cypress]

books

[short widget]

nice

any good recommendations?

[weak roost]

wonderful

[lavish cypress]

I used munkres analysis on manifolds, but spivak's calculus on manifolds is more commonly recommended

[short widget]

okay, are u in college?

I will check them out

thank you for the help!

[lavish cypress]

high school

[short widget]

woah

[limpid snow]

How do I solve for x?

[short widget]

7?

[limpid snow]

no thats the question number

sorry

[short widget]

yeah u want me to do question 7 right?

[limpid snow]

yeah

[short widget]

okay

[limpid snow]

idk how to move the x

[short widget]

no problem

so multply both sides by x

what do u get?

[limpid snow]

x(c/x)=(r+d)x?

[short widget]

yes

now simplify the left

x*(c / x ) is what

[limpid snow]

c?

[short widget]

yessir

x / x is 1

[limpid snow]

ohhhhhhh

[short widget]

what do u have now

[limpid snow]

c=(r+d)x

[short widget]

yep

divide both sides by (r+d)

[limpid snow]

wait why am i dividing

wouldnt i subtract

[short widget]

well u want x to be by itself and u want to remove its coefficient (in this case (r+d) )

if u want to remove 2 in 2*x u divide by 2 right?

x is being multiplied

[limpid snow]

ohhhh

gotcha

[short widget]

yep yep

so divide by (r+d)

[limpid snow]

c/r+d=x?

[short widget]

Yeah , u even simplified the right good job

ur done!

[limpid snow]

thx so much you're a life saver

[short widget]

u did the question 😄

[limpid snow]

a lil i guess

[ivory zodiac]

anyone please

a is obv -9.8m/s^2

t = t-1.8

h = 1/2 h

[short widget]

I'm not sure but there is also a physics server :D!

[ivory zodiac]

can u pls link it??

[wary stream]

Go to #old-network

[short widget]

i dmed it to u

[high lintel]

can anyone help me

[short widget]

Yeah

so we are given

we are also given

now plug in the value of C from the second pic into the first

what do u get

@high lintel

[high lintel]

2.8<=3.14d<=3.1

[short widget]

good

now we just want d

instead of 3.14d

so divide through out by what number?

@high lintel

[high lintel]

3.14 divided on both sides

the 2.8 and 3.1

[short widget]

and the middle too to get d

[high lintel]

and removed the 3.14

[short widget]

yep

what do u get

[high lintel]

0.892<=d<=0.987

[short widget]

yep that should be the interval

[high lintel]

thanks

yes

[short widget]

😄

cya

[vague iris]

Hi guys! Is {(1,1),(2,2),(3,3),(1,1)} a function?
My concern is that there are two similar ordered pairs (1,1) in the set. But shouldn't a set be distinct?

[short widget]

items are not repeated in a set { a, b, c , a} = {a,b,c}

[vague iris]

Yes, that's what I was saying. But in this case, it's still a function, right? (although the set is wrong)

[prisma dove]

yes

indeed

It is the identity function on ${1,2,3}$

[ocean seal]

MisterSystem

[vague iris]

This question is confusing

[ionic jewel]

remember the function rule

[vague iris]

I'm guessing there's a typographical error in letter D

[prisma dove]

Let $X$, $Y$ be sets, to check if a relation $R \subset X \times Y$ is a function we would need to check if $\forall x \in X, \exists ! y \in Y$ such that $(x,y) \in R$

[ocean seal]

MisterSystem

[ionic jewel]

two inputs can't have the same output

[prisma dove]

so for instance

[vague iris]

So, these are functions, right?

[prisma dove]

Yeah

It seems so

you have to check if for every x-coordinate

there exists a unique y

with (x,y) in the set

[vague iris]

Yes. That's what I did. The letter D is confusing

Thanks guys!

[short widget]

yeah unless D is has a type its still a fn

typo

[maiden holly]

Whats the diff between theorem, proposition, lemma and corollary?

Are they like interchangeable or smth?

[buoyant edge]

Theorems are results that you prove by series of truths.

Propositions are statements that may be either true or false.

Lemmas are generally smaller results that you use to prove theorems

And corollaries are specific results that follow from a theorem.

[maiden holly]

Oh

Ah i see thanks

[buoyant edge]

Np.

[languid stratus]

someone pls help

[wary stream]

What have you tried?

[languid stratus]

i tried multiplying the total gallons by the percentage decrease

[granite tulip]

i have 0 clue on how to do this can someone explain this to me

[austere nebula]

do you mind elaborating on that? if fd: Z->{0,1} is a function defined by fd(x) = 
1, if x is odd;
0, if x is even. wouldnt that equate to more than one input having the same output?

[alpine sable]

i mean

yes

[warm verge]

hey guys, how do i do this?

i have no clue where to even begin

[untold marten]

can someone help me?

https://cdn.discordapp.com/attachments/238956921581862913/883184454410076167/unknown.png

https://cdn.discordapp.com/attachments/238956921581862913/883184501268807730/unknown.png

https://cdn.discordapp.com/attachments/238956921581862913/883184566980968458/unknown.png

[warm verge]

nvm on this

[untold marten]

idk if i did it correctly

[south orbit]

hi 😄
i didnt know who else to ask this question but its a really simple question, it has to do with trigonometric integrals
I have the problem done but idk what I did wrong, the answer is mostly correct, just some trouble with the coefficient

the actual answer is https://gyazo.com/fdd7f725a0281881ac84daac936aa354

which implies it was the same answer but with a 1/9 at the end to distribute instead of a 9

[alpine sable]

hi

[ancient saddle]

Hello, I think this is the mistake

[alpine sable]

hey

[south orbit]

ah

yes

[alpine sable]

is there any accounting channel?

[south orbit]

that would be 9sin(9x)dx

fuck me

-9sin(9x)dx

i was integrating for some reason there

should have been deriving

[undone mason]

its late and I am also dumb so not the best mix, any one know the answer?

[south orbit]

-7/4

.75 = 3/4

• 1

is

[undone mason]

Thanks

[south orbit]

7/4

[undone mason]

I thought so

that would be < right

for the biggest fraction

[south orbit]

make them the same fraction

then find which one is bigger

so -3/2 = -12/8

which one is bigger then

[south orbit]

yes but they are negative

so which one is actually "bigger"

[undone mason]

11/8

[south orbit]

ye

[undone mason]

bro my teacher is dumb

I answerd that on my test but its "wrong"

I swear

[soft zodiac]

Can someone explain how 2/sqrt(2) reduces to sqrt(2)? I'm confused...

[mental pendant]

multiply sqrt(2) with numerator and denominator

[alpine sable]

2 = (sqrt(2))^2

[flint notch]

can u guys answer my compound inequality problme

avoid tthe things i wrote in the blanks

[south orbit]

no

the argument is false

[south orbit]

https://gyazo.com/39bd0eee7eb6f4e2b9636b4e05493c90

to rationalize denominators you multiply by whatever you want to get out of the denom

ie sqrt(2)/sqrt(2)

[flint notch]

ok?

i don't geett it

[south orbit]

that waas not for u

that was for banks

and sorry

[flint notch]

sso whsst do I write ffor the a, b, aand c

why sry

[south orbit]

your argument is true

didnt read your question fully

[flint notch]

ok np

so cna u help me out

[south orbit]

x+5 > 7
x+7 > 5

5+7 > x

[flint notch]

why

[south orbit]

the two sides are always greater than the 3rd

[flint notch]

ye

[south orbit]

then it would not be a triangle

[ionic jewel]

oh sorry I misread, they are all functions but yeah I imagine they meant to make it (-1, not 2) for one of them

[south orbit]

also

those signs should be greater than or equal to

but i dont have that on my keyboard

[flint notch]

OH I C

[south orbit]

if it was less then it would be like crossing u see?

[flint notch]

which sign?

[south orbit]

the > sign

[flint notch]

i think sos

[south orbit]

with = under

[flint notch]

u go control shift and >

≥

[south orbit]

yeah idk my keyboard is fucked

but those are greater than or equal

ah its called some theorem i forget but look

https://gyazo.com/56e54d7c642d6ee82887a0d43b5b1c2c

this would be the only "triangle" that can prove that theorem false

you get it now?

[vague iris]

Is the square root of zero undefined?

[south orbit]

no

it is 0

0 * 0 = 0

[vague iris]

ohh yeah i forgot. Thanks!

[limpid flicker]

I haven't done math in a while and idk how-to do this

[placid zinc]

If those were numbers, not polynomials, would you be able to find the surface area?

[limpid flicker]

yes

oh

[limpid flicker]

what about this one?

[placid zinc]

@limpid flicker
Let f(x) = 3x² - 16x + k
Remainder theorem says that f(7) = 0

[floral willow]

anyone know the answers for the 3 questions

[median tendon]

have u tried anything yet?

[floral willow]

i just dont know how to do it

im bad at maths

[median tendon]

you know what parallel lines are?

[floral willow]

nope

[median tendon]

do you know what a gradient/slope is?

[floral willow]

i either forgot

or didnt listen

[floral willow]

no

[brave pewter]

what property do you use when u multiply
2(2/4)

i am doing properties of number

[median tendon]

clearly this channel is in use

[floral willow]

yeah

[median tendon]

ok parallel lines are just two lines that are placed equal distance from each other such that if you were to extend the lines forever, they never intersect

does that make sense?

[floral willow]

what does intersect mean

[median tendon]

they never touch each other

[thorn vortex]

yes

[floral willow]

okok

how do i find the answer

[median tendon]

i don't know how to explain this without giving the answer xD

[floral willow]

i mean

you can just give the answers

i dont mind

[median tendon]

but whats the point of that, u wont learn

[floral willow]

true

[median tendon]

look at option (b)

see how they have both angles equal?

[floral willow]

yes

[median tendon]

can you conclude anything from that?

[floral willow]

85 degrees

degree

wait

is it degrees

[median tendon]

what does the angle indicate?

yes

[floral willow]

straight line

right

[median tendon]

what is an angle?

[floral willow]

its

angle

[median tendon]

kind of like its rotation right?

[floral willow]

yea

wait

rotation what

[median tendon]

I think you should ask your teacher for help, they will be able to explain it much simpler

[floral willow]

the thing is

my teacher hates me

cause im always late

to class

[median tendon]

no no they don't hate you, all you need to do is ask and they will help

[floral willow]

you know what

i'll

try

[median tendon]

what year lvl are u in?

[floral willow]

7th grade

can i just say

i dont understand a single thing

to my teacher

[median tendon]

btw for the question up there, u could just visually inspect it and get the right answer

[floral willow]

yea but the teacher

said she wants

the calculations

[median tendon]

it wont be the approach the teacher is after, but you'll atleast get the answer

[floral willow]

or sum

[median tendon]

ahhh

[floral willow]

so

[median tendon]

u know what
the answer is (a) and (b) because the agles are equal, (c) is wrong cause the angles are different

maybe the best way to learn something like this is with the answer

[floral willow]

so do i write down

equal as the answer

for a and b

[south orbit]

paste the prblem again

[cinder mantle]

you probably say pq||rs alt. angles in parallel lines are =

thats what i would do

[alpine sable]

keep in mind the straight angle is 180 degrees

sorry for the interruption

[floral willow]

kk

[wild snow]

Use BEDMAS

Brackets first, division next then multiplication

[dark granite]

PEMDAS is usually what's it called I've never heard of BEDMAS

[placid zinc]

Division sign is bad

[plush wagon]

i heard BODMAS

[wild snow]

I was taught BEDMAS where b stands for brackets although I know the correct terminology should be parenthesis

[dark granite]

okay

you keep saying this loll

[placid zinc]

PEDMAS is taught to 6th graders to learn a simplified version of math, and is not the end-all to an otherwise deep language

There I said it

[dark granite]

I think you're too young for this server

<@&268886789983436800>

[dreamy cedar]

[wild snow]

Yikes

[dark granite]

did he get banned? or did he just delete his posts?

[wild snow]

Hes not in the server so I assume the first option

Wait

I cant read

😂

[placid zinc]

Guess mods don't like those pedmas memes anymore

[dark granite]

lmaoooo

[fervent anchor]

Yes😂

[dark granite]

i forgot his username otherwise I would've looked him up lolll

[fervent anchor]

Naughty maybe his user

😂

[dark granite]

wait

you're right!

it's Naughty_83

[fervent anchor]

Wow

[dark granite]

lmaooo

I didn't even remember that

and I was chatting with him lolll

[fervent anchor]

It's ok

[dark granite]

his last post was 08/31/21

no wonder why it didn't get deleted

[alpine sable]

21/103 divided by 905/84

[dark granite]

yea

that's exactly what he asked about

[alpine sable]

yeah lol

there's trolls that come in here and ask like whats 1+1 and 500+500

[dark granite]

i know lmaoo

at least his question wasn't really like that

[placid zinc]

I've been trying to type "code-k" on those whenever I see them

Unfortunately I think I miss most

[dark granite]

wait why lol? what does that mean?

[alpine sable]

yeah what does that mean

[placid zinc]

So I can search and see how many times I've done it

[dark granite]

ah gotcha

[placid zinc]

Just something nobody says

[dark granite]

how many times so far?

[placid zinc]

Like I said, I miss most. Not many yet

[soft zodiac]

How do I get sine and cosine for angles that aren’t on the unit circle without using a calculator?

[alpine sable]

😂😂😂😂

[dark granite]

😂

[placid zinc]

It will be a funny huge list eventually

[dark granite]

well, they ARE on the unit circle, just not common angles and therefore, usually not labelled. We can't label every single angle as there are infinitely many

but you'd need a calculator depending on how messy of an angle you're dealing with

[alpine sable]

you can use double angle formulas and half angle formulas to sometimes

break up the inside

or calculator

[soft zodiac]

so if I have something like pi/7 I need to use a calculator?

[dark granite]

I would say yes

unless someone knows another trick

[soft zodiac]

okay ty!

[placid zinc]

You can get it by doing
sin(3pi/7) = sin(4pi/7)
And a lot of algebra

But that's not usually expected in a class of people learning trig

Actually I don't think even that is really possible, there's a quartic in there

[fervent anchor]

Yes! And the answer is 0.44879895051 in calculator

[soft zodiac]

ty 🙂

[fallen ridge]

hi is this for any one to use

[dark granite]

yup

feel free to ask

@fallen ridge

[fallen ridge]

can i dm you so i can explain my problem and my whole situation

[dark granite]

no, you can explain it here

[fallen ridge]

ok i have issues learning anything by reading i can only learn by listening to people explain it and ive been out of school for 2 weeks because i had covid and im behind and my teacher wont teach me the stuff i missed so im reaching out for help

[dark granite]

okay

so what's your question?

[fallen ridge]

is their anyone who could do like a video call and teach me what i missed bc my friend sent me the assignment

[dark granite]

can you at least explain the questions here?

then people might be able to vc with you if they can help

[fallen ridge]

this is what is given but i cant do this at all

[rigid wind]

ohno what is this format

also what is the question even asking?

[dark granite]

wtf lmao

what kinda format is this?

and yea what are you even asked to do?

[fallen ridge]

evaluate the expressions

[rigid wind]

[fallen ridge]

dose that not help at all

[rigid wind]

evaluate 2x+3y-4w?

what does that even mean haha

[fallen ridge]

LIB ARTS MATH 1 this is the class im in

[fallen ridge]

idk so i came to this server to get help

if anyone can help that would be amazing

[whole kestrel]

same

[fallen ridge]

do i give up i cant fail high school

<@&286206848099549185> im sorry but can anyone help me with my math

[fresh bolt]

what are you sorry for?

[fallen ridge]

for asking for help so much im failing my class bad with a 2% f because my teacher wont teach me what i need to know

[fresh bolt]

2/100?

[placid zinc]

2x+3y-4w=
Is not a question

[fallen ridge]

out of the whole grade

[placid zinc]

If you have anything that should go with it, please let us see

[fallen ridge]

i have nothing because ive been out with covid

my friend sent me that and i can try and get him rn at 3am

[placid zinc]

Hopefully he's not asleep

[fallen ridge]

darn it he is

well im not gonna be able to get this done am i

also that is the exact work the teacher gave

[shell heron]

how do i find a perpendicular line of another line?

for example y = 2x

[fallen ridge]

idk

[jagged imp]

the gradient of a line perpendicular to a line with gradient m is -1/m

[shell heron]

so -1/2?

[fallen ridge]

i dont understand i am not able to learn this was i can literally learn by voice and hearing the stuff

its because of some of my disabilities

im sorry

its how ive been my whole life

[shell heron]

who are u talking to

[jagged imp]

yeah, your lines gradient should be -1/2

[shell heron]

okay thanks i get it now

[jagged imp]

nw mate

[fallen ridge]

never mind i give up

on this

[queen raven]

can someone help me with polynomial long division?

i got (x^2) + (2x) + 2 + (-7/x+2)

i dont know what i did wrong

this is with remainders btw

[gray isle]

might have something to do with that x^2 + 2x^2 in your quotient

why are the two x^2 terms there

[queen raven]

my graphing calculator is showing a completely different answer, symbolab is showing a different answer and so is my working out

that was a typo my bad

but still cant figure this out

[gray isle]

can you try again and show your work

[queen raven]

sure, give me a second

[rigid wind]

minor mistake in signs?

[queen raven]

fuck it i give up

im just gonna fail

[alpine sable]

keep going even if you fail

failure is mother of success

[gray isle]

there is no judgement if you make a genuine attempt

show your most recent work and I can help you spot your mistakes and do it properly

[eager fern]

if im solving for x

and i get x=0 is the answer all real numbers?

[gray isle]

do you think 0 represents all real numbers?

[eager fern]

no

[alpine sable]

blocked

[gray isle]

last i checked, x=0 means x=0

[eager fern]

idk why it says the asnwer is all real numbers

[gray isle]

this channel may still be in use by zeffy.

lets move to a different channel

[alpine sable]

litto please cite rule number 2

[gray isle]

#help-8 @eager fern

[queen raven]

i know im doing something wrong

but i just dont know what

@gray isle

[gray isle]

multiple issues. 1 sec

first you have inconsistent signs

writing that part like that is a bit bad

don't put those parentheses there, and place the - sign a but further away (or just ditch it all together)

[queen raven]

i meant to out the - sign outside

[gray isle]

the line after that
-6x^2 + 2x
is fine,

but where is your 2x quotient coming from?

[queen raven]

i didnt have space to add an arrow

omg i forgot to divide the 4x^2

[gray isle]

not the 2x i'm referring to

where did that come from

[queen raven]

wait no i did divide it, im stupid, but idk where the 2x came from

[gray isle]

that 2x shouldn't be there

in that step you're looking for how many times x goes into -6x^2 which is -6x

[queen raven]

yeah i see

[gray isle]

which leads to the above

[queen raven]

yeah i see that now

[gray isle]

can you try continuing from there

[queen raven]

but i screwed up again in the section below

ill try that again

[gray isle]

yes, there were multiple mistakes there

[queen raven]

yup i got it

it wouldve been -2 -12, not +2 -12

so it would be -14 - 31/x+2

so it would = (x^2) -6x +14 -(31/x+2)

thank you so much for helping me understand!

im just really bad with positives and negatives

i always make stupid mistakes like this

[crisp ruin]

i'm having trouble with this Stackelberg game

[crisp ruin]

<@&286206848099549185>

[narrow carbon]

hiii <@&286206848099549185> , I'm having trouble with this. Is something wrong with what I did?

here's a more clearer pic

[hearty hazel]

Wait to clarify the question is,
$\frac{x+1}{2x+7} + \frac{2x-3}{4x+5} = \frac{1}{3}$

[rigid wind]

you can't divide those right away, gotta assess =0 first

[jolly stone]

if my understanding of Stackelberg game is correct,
player 1 must consider what player 2 will do first, in order to choose x
so basically, we must find what player 2's optimal choice of y in terms of x, then player 1 can choose optimal choice of x given optimal choice of y

[hearty hazel]

$$\frac{(x+1)(4x+5) + (4x+5)(2x-3)}{(4x+5)(2x+7)}= \frac{1}{3}$$

[jolly stone]

my answer will be x = 38/3, y = 43/6

[crisp ruin]

oh okie~, since posting this, i worked an answer of x=8, y=4

[narrow carbon]

what's this?

[jolly stone]

my math can be incorrect, how do you get this answer?

yes my math is incorrect

[hearty hazel]

I was doing the first step of your problem for you

[narrow carbon]

ohhh, alright thanks a lot

[crisp ruin]

i did player 2's subgame of picking y, which got me y=0.5x, then subbed that into p1's FOC funtion

[jolly stone]

yeah same idae

i just forgot one minus sign

wait for x, you need to sub back before finding derivative, i think?

U1 = 8x - x^2 - 4, and dU1/dx = 8 - 2x = 0 -> x = 4

[hearty hazel]

$$\frac{(x+1)(2x+7)+(2x-3)(4x+5)}{(4x+5)(2x+7)} = \frac{1}{3}$$
$$\frac{2x^2 + 9x + 7 + 8x^2 - 4x - 15}{8x^2 + 38x + 35} = \frac{1}{3}$$
$$\frac{10x^2 + 5x - 8}{8x^2 + 38x + 35} = \frac{1}{3}$$

[crisp ruin]

no, it's U1 = 8x -2xy -4

[magic warren]

m new to what a mantissa is and i dont know what +ve and -ve means(How many times must the decimal point be moved (plus,+ve to the left, minus,−ve to the right) when making 0, point, 000145,0.000145 into a mantissa?

Im

[jolly stone]

yep substitute y = x/2 as player 2's optimal choice back to U1

[crisp ruin]

yes yes

[jolly stone]

and we get U1 = 8x - 2x*(x/2) - 4

[crisp ruin]

well i subed it into the First Order Condition

[hearty hazel]

@narrow carbon can you solve from here?

[jolly stone]

player 2 does not know what player 1's choice is, but player 2 only know that player 2 will choose y = x/2, given that player 2 know player 1

[narrow carbon]

yep, thanks a lot

[jolly stone]

so in order to find out what x is, we must find out what player 1 will choose

[crisp ruin]

player 2 observed Player1 pick x

[jolly stone]

yep, but idea is player 1 calculated that player 2 will choose y = x/2

so player 1 will calculate optimal U1 given that player 2 will choose y = x/2

[crisp ruin]

so you're saying i need to put the reaction function back into player 1's original utility function and not into its derivative?

[jolly stone]

yep

because y is dependent on x

[hearty hazel]

@narrow carbon lmao typing online is hard I re-wrote the steps

[ocean seal]

variant

[umbral hatch]

isnt it 8x^2-2x-15

[crisp ruin]

thank you so much for the help 🙂

[jolly stone]

[dense blaze]

how do i get the limits of this with squeeze theorem as x tends to 0

i only know how to use squeeze theorem for (cosx - 1) / x

btw lhopital not allowed

[digital tinsel]

@dense blaze id personally use the taylor expansion for cosx and take that limit

[echo stirrup]

Can someone explain this

[mental pendant]

try using alternate segment theorem

[gray kiln]

this question is of which std btw

[fresh bolt]

wow so many pings

[wary stream]

Don't ping specific people

[stuck jolt]

$\frac{\lim _{n\to \infty :}\left(\left(\frac{2}{5}\right)^n-1+5^{1-n}\right)}{\lim _{n\to \infty :}\left(\left(\frac{3}{5}\right)^n+1+\frac{1}{5^n}\right)}$

[ocean seal]

Captain_Mat01

[summer goblet]

Hi there

good morning mathematicians

[alpine sable]

sup fam

[summer goblet]

Hi

how did you write the power numbers in terms of these fractions?

oh

you divided by 5

5^n

[random token]

<@&268886789983436800> do we encourage such bizarre pinging?

[stuck jolt]

yes

By the highest denominator power

[summer goblet]

then how do you finish the limit?

Why not use L'Hopital?

[stuck jolt]

Well you address them separately

[summer goblet]

because of n

[stuck jolt]

And then you remove the fractions

Which gets you -1/1

So -1

[ocean seal]

Commander Vimes

[alpine sable]

3,46... right?

[glass lichen]

approximately, yes..

though you could just use a calculator

[stuck jolt]

yes

Woah, that message took long to send

[alpine sable]

my teacher is saying that is 2,44...

wtf

[glass lichen]

well then they're wrong

or they're referring to something else

[golden spoke]

guys i need hepl with something please

so

if 35% = 9200

what is 100%

[stuck jolt]

35%x3-5%?

,calc 9200*3

[ocean seal]

Result:

27600

[golden spoke]

thank you

[stuck jolt]

Subtract 5% to that tho

[golden spoke]

subtract 5% from 27600?

or from 9200?

[glass lichen]

$.35x=9200$ then isolate for x

[ocean seal]

Mosh

[alpine sable]

this is the context

[glass lichen]

yeah, l~2.45 there

$2l^2=(2\sqrt{3})^2\implies l^2=6$

[ocean seal]

Mosh

[alpine sable]

good evening!

anyone know a thing or two about common monomial factoring?

[gray isle]

do you have a specific example you're strugglingwith

[alpine sable]

yes

wait let me copy it

-27a⁴+3a²-9abc

[gray isle]

do you know your exponent laws?

[alpine sable]

yep

[gray isle]

what did you try?

[alpine sable]

wait

i'll do this tomorrow

i dont have time now

Hi guys

I'm so dumb in math

and i want to be a good student

you can help me?

[summer goblet]

Hi, you can factor 3 and a.

[alpine sable]

Perform step by step the geometric transformation of the following function, identify with a different color each step: 1.
each step with a different color:

Please

i had covid 19 and i cant stay in class

[summer goblet]

It's just a mistake.

people make mistakes even teachers, professors...

[alpine sable]

everyone has made their own mistakes

yeah

you can helpme please?