help-0

[cunning frost]

and remember that slope = rise / run

what are rise and run in this case

[waxen turtle]

Idk

It rises and goes down weird😭

[cunning frost]

maybe i am being too confusing sorry

let y(x) = the number of heart beats between 0 and x seconds

[waxen turtle]

I GTG

😭

[cunning frost]

ok

[waxen turtle]

I'll return later fr

.close

[lone heart]

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[magic cipher]

Need help plz

[lone heart]

Please don't occupy multiple help channels.

[magic cipher]

New to this just seeking for sm help for this question. Been stuck on it for couple of hours now

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@magic cipher Has your question been resolved?

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@magic cipher Has your question been resolved?

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@magic cipher Has your question been resolved?

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[livid flame]

Why is the second expression negative, shouldn't everything be positive due to the absolute value?

[torpid quartz]

because sin(x) for x in (π,2π) is negative

so it need - sign to make the sinx positive

[livid flame]

oh yeah thanks

.close

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[barren vector]

.reioeb

.reopen

[dusty zenith]

hii can someone help me check if this is correct? our teacher's lesson was a little confusing so im not sure if what i did was correct, thank u!

[fickle sandal]

looks ok

[coral flower]

sin is perpendicular / hypothenuse

so it should be 3sqrt5 / 9

[dusty zenith]

does that mean csc should be 9 / 3sqrt5 as well?

[coral flower]

yeah , but the other guy says its ok

[dusty zenith]

okaayy thank u so much!

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[vapid shuttle]

I don’t understand this proof

Why would g:([0,1])-> S be connected?

Because the closed interval is

And g is continuous

Well why is g continuous?

Like where does g even come from

[kind sparrow]

I find it easier to read if you do path connected implies connected, then the existence of g is from definition

It's the same thing either way, I just don't want to think about multiple nots floating around

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[coral flower]

Z1 = 3+4i
Z2 = 4+3i
show that |Z1 + 1/Z2| nearly= 5

[coral flower]

i simplified everything to
|(97i+79)/25|
and this isnt equal to 5

[mortal trellis]

well apparently you only have to show nearly =5?

which is true

its roughly 5.004

[coral flower]

how?

[coral flower]

i cant simplify this anymore

[coral flower]

yeah nearly equal

[mortal trellis]

well you can plug in the definition of absolute value

[coral flower]

i only know that |x| = sqrtx^2

should i use that?

@mortal trellis sorry for ping , but pls help me :)

cuz i only know that absolute values = negative to positive , positive to positive , nothing else

[gray isle]

|a + ib| = ?

being given this question you should know stuff about mod of a complex number

[coral flower]

i should but i forgot

i only remember || changes negative to positive

[mortal trellis]

"negative" and "positive" makes no sense over C

|a+bi|=sqrt(a^2+b^2)

[coral flower]

so a = 79 and b = 97 here?

ok yeah i get 5.003999 , ty

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[halcyon ore]

how do i solve this similar triangles question?

[halcyon ore]

i cant think of anything except the scale factor which is 23/18

[white turret]

let DC x

and calculate

[halcyon ore]

wdym?

dc x?

oh so dc is x

i still dont know how to do it

[white turret]

DC is x

[halcyon ore]

yeah

[white turret]

therefore DB = x+5

[halcyon ore]

ohh

so i find db

thank you

[white turret]

no scaled problem

[halcyon ore]

huh

ok i dont get it again

[white turret]

what?

[halcyon ore]

db = x + 5

[white turret]

how did you NOT solve this knowing the scale?

[halcyon ore]

i dont know

i still dont know how to solve it

[white turret]

so

[halcyon ore]

yeah?

[white turret]

similarity

is

[halcyon ore]

yes?

[white turret]

did you learn similarity?

[halcyon ore]

this morning

[white turret]

or else i should get the answer without it?

uh k

[halcyon ore]

i learnt similar triangles

[white turret]

how did you learn that

[halcyon ore]

scale factor

or ratio equation

to solve question like that

[white turret]

wait i get my food

[halcyon ore]

ok

[white turret]

ok

there are two triangles

(similarity concept)

[halcyon ore]

yes

[white turret]

triangle ABC and DEF

what's the definition of similarity?

using them to explain

[halcyon ore]

uhh

the angles should be same

[white turret]

that's the criteria

[halcyon ore]

hmm

definition

ok i think like

the line 23

23 cm

i mean

ab

is similar to

ec

db similar to dc

[white turret]

brain.exe loading

[halcyon ore]

im sorry bro i really need to learn this like im a 5 year old

[white turret]

they are corresponing sides

[halcyon ore]

i solved questions like these

[white turret]

so don't use similar to

[halcyon ore]

ok

db = dc

ab = ec

[white turret]

well now you use EQUAL!!

they are never equal

[halcyon ore]

oh

.....

[white turret]

so

[white turret]

suppose this is an example

[halcyon ore]

yea

[white turret]

AB : AE = AC : AD (or you can use AB : AC = AE : AD because they are the same : proportional expression)

[halcyon ore]

yeah i get it

but i dont get why u use ratios

are u tryna show that there is a scale factor

[white turret]

ok

let's status

1. you don't know definition
2. you don't know criteria of similarity
3. you don't know the properties

[halcyon ore]

yeah

[white turret]

which

numbers

[halcyon ore]

u see

[halcyon ore]

i know how to solve this question i just find the scale factor and multiply

but i dont know how to do the same thing for the questions im doing now

and this is the last question of level 1 i still gotta do level 2 and level 3

im gonna send it again

i couldve solved this if i had got 2 sides

but i dont so idk how

and i dont know the definition

and property stuff

[white turret]

crys

let's suppose there are triangle ABC and DEF

[halcyon ore]

yep

[white turret]

wait.. finding english expression (s;kull)

[halcyon ore]

yeah thanks

[white turret]

(i can't find it) maybe in your textbook or something whatsoever

so

increase the scale

of one triangle

for example, triangle ABC

[halcyon ore]

yes

[white turret]

(by the way, you can also decrease)

so

[halcyon ore]

yes

[white turret]

if ABC ≡ DEF (should put triangle symbols there)

[halcyon ore]

yes

[white turret]

then the triangle that changed the scale

is similar to DEF

[halcyon ore]

YES

i get it

[white turret]

there are more ways to explain the definition

[halcyon ore]

ok

[white turret]

but it's basically said: if they are the same shape

[halcyon ore]

ok

u wanna know what i wrote in my book

two figures are similar if

all their angles equal (equiangler)
corresponding sides are in proportion
one shape is enlargment of another

u tryna explain this to me?

[white turret]

how do i explain do i do i

so where's the definition of similarity

in that book

[halcyon ore]

my teacher didnt tell me

or i forgot to write it

can u tell me

[white turret]

w

what i told is the one way to explain the definition

[halcyon ore]

yes

ok

btw ur food is getting cold (im sorry)

[white turret]

lol

[halcyon ore]

u know what

can u tell me the answer

i wil llearn how to do it later

and u can eat ur food

and i can slee

p

[white turret]

nice

[halcyon ore]

yeah

before i came here

[white turret]

so look at that picture again

[halcyon ore]

i put every number under 30 and clicked check

[halcyon ore]

yeah

[white turret]

https://cdn.discordapp.com/attachments/490557019623915520/1162336110043746394/Screen_Shot_2023-10-13_at_11.28.37_PM.png?ex=653b90db&is=65291bdb&hm=39e7ccdd9040cb476cda4d2b55712640c71dc71192c59468bc3c8ddd07f16323&

[white turret]

lol

[halcyon ore]

yea

[white turret]

so let DC x

by the way the answer is.. (calculating.exe)

[halcyon ore]

yeah

[white turret]

16

[halcyon ore]

WHAT

NO WAY

LIAR

LET ME TRY IT

[white turret]

oh wait

[halcyon ore]

yeah its wrong

[white turret]

i miscalcualted

it's 18

(Lol)

[halcyon ore]

NO WAY

[white turret]

me dumb

[halcyon ore]

IT IS

I SWEAR I TRIED EVERY NUMBER UNDER 30

CAN YOU TELL ME HOW YOU GOT IT PLEASE

actually

nvm

go eat your food

and yeah

have a nice day

[white turret]

i am confused so i'm going to force to close the ticket

.close

(no permission issue)

[halcyon ore]

ill do it for you

(no no permission issue)

bye

.close

[lone heart]

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[empty carbon]

is a correct? and please help with how to do b

[round geyser]

if g(a) = b, then g^-1 (b) = a

basically

from g(a) = b

take $g^{-1}( g(a)) = g^{-1} (b)$

[ocean seal]

nalin

[empty carbon]

oh okay

thank you so much

.close

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[shut musk]

do i just solve this by trial and error?

or is there a fast way

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@shut musk Has your question been resolved?

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@shut musk Has your question been resolved?

[shut musk]

<@&286206848099549185>

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@shut musk Has your question been resolved?

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@shut musk Has your question been resolved?

[ocean seal]

poypoyan

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@shut musk Has your question been resolved?

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[quasi sand]

I didn't understand the 2nd and 3rd step

[abstract hinge]

Basiclly these are just trignometirc properties

Just hold on i will send u the property used here

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@quasi sand Has your question been resolved?

[abstract hinge]

That's Enough acc to me

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[thick lynx]

My instructor uses the following procedure when checking for differentiability at a point $x_0$: \begin{enumerate} \item $f'(x_0)$ exists. \item $f$ is continuous in $x_0$. (no jump) \item The difference quotients $\frac{f(x_0) - f(x_0 - h)}{h}$ and $\frac{f(x_0 + h) - f(x_0)}{h}$ as $h \to 0$ exist and correspond. (no sudden bend like for $|x|$)\end{enumerate}

[mortal trellis]

if you already have 1 then yes

[thick lynx]

Well their procedure starts with checking 1

[mortal trellis]

to check 1 includes already checking 2 and 3 basically

are you sure 1. isnt supposed to say that f(x0) exists?

[thick lynx]

Yes, there is even an example with sqrt(x), for which the derivative at x_0 = 0 doesn't exist.

[thick lynx]

Perhaps if one of these three is fulfilled, it already means it's differentiable at x_0?

Though there would be a counterexample against 2

The Weierstrass function

[thick lynx]

Say we cross out 1.
Wouldn't 3. make 2. redundant?

[mortal trellis]

yes

[thick lynx]

Not the other way around though, because of the Weierstrass function

So all we need is 3.

[mortal trellis]

the limits can only exist if they are of the form 0/0, so there cannot be a jump anyway

yes 3 or 1

its a weird list

[thick lynx]

Do you mean that makes it impossible for there to be a jump because it would be of the form (0 + c)/0 in that case?

[mortal trellis]

yes

[thick lynx]

Actually, does 3 really make 2 redundant? We need $h > 0$. Say we have [f(x) = \begin{cases} 1 & x \geq 0 \ 0 & x < 0\end{cases}.] Now, the difference quotient from the right to $0$ would be $0$, just like the difference quotient from the left to $0$.

So the difference quotients as h -> 0^+ would agree

Ah wait, nvm

The left one would tend to infinity/would not exist

Thanks

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[mortal trellis]

who says anything about h>0

[thick lynx]

.reopen

[lone heart]

✅

[thick lynx]

WLOG we can say h > 0, since if h < 0, then it would basically be identical to the other limit, no?

[mortal trellis]

ah thats what you mean

yes ok

[thick lynx]

Yeah

Thanks

.close

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@midnight vault Has your question been resolved?

[mortal trellis]

maybe try an example to begin with? say p=13?

[lone heart]

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@midnight vault Has your question been resolved?

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@midnight vault Has your question been resolved?

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@midnight vault Has your question been resolved?

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[halcyon ore]

how do i solve this?

[upbeat gorge]

What can you say about angles ABD and BDC?

[halcyon ore]

they are equal

[wanton nova]

triangles can't be equal

[halcyon ore]

what

[upbeat gorge]

What’s your reason

[halcyon ore]

because

similar triangles

should have the same angles

[upbeat gorge]

how do you know they’re similar

[wanton nova]

preety sure bcd is bigger than abd

[wanton nova]

so how are they equal

[halcyon ore]

mb

idk

[wanton nova]

#❓how-to-get-help

[upbeat gorge]

that is the conclusion I was steering you towards, but you’re supposed to get that from the angles being equal

[halcyon ore]

so

i dont get what u mean

i know they similar only cuz the activity on similar triangles

[halcyon ore]

what is the conclusion u were steering me towards?

that the triangles are similar?

[upbeat gorge]

Yes

[halcyon ore]

o

[upbeat gorge]

From AA

[halcyon ore]

huhh

i see the arrow on dc and ab

[upbeat gorge]

You know what that arrow means?

[halcyon ore]

so i think they are the same side

but smaller

[halcyon ore]

that they are same side but enlarged?

[upbeat gorge]

That’s not what the arrow means

[halcyon ore]

oh

i dont know then

[upbeat gorge]

the arrow means the two lines are parallel

[halcyon ore]

oh

i mean

i can use that to find all 3 angles

but idk how to use that to find side

angle dbc = 42
angle cdb = 96

nvm

im wrong

[upbeat gorge]

huh?

[halcyon ore]

i have no idea what to do

[halcyon ore]

i dont know what im doing

[upbeat gorge]

That’s why you follow me lol

[halcyon ore]

ok mb

u say ill do

[upbeat gorge]

So parallel lines

BD is the transversal

[upbeat gorge]

So what are these two angles classified as?

[halcyon ore]

uhh

they are the same

wait

let me think of the name

alternate angles

right

[upbeat gorge]

Yes

Alternate interior angles to be exact

Hence they are equal

[halcyon ore]

yes

[upbeat gorge]

And then you have the two 42s

One of the conditions for similar triangles is AA (angle-angle)

This is where you conclude that ABD and BDC are similar triangles

[halcyon ore]

oh

i see

[upbeat gorge]

Now you can just use proportionality

[halcyon ore]

this is what someone tried teaching me yesterday but i couldnt understand for 25 mins and then i quit

hopefully i can learn now

[upbeat gorge]

Remember that corresponding sides have their corresponding opposite angles

[halcyon ore]

yes

[upbeat gorge]

I suggest you label the two alternate angles so you don’t get confused

[halcyon ore]

ok

[upbeat gorge]

How would you find AB in the best way (you need to use the two measures you know)?

[halcyon ore]

hmm

[noble jay]

Yo can anyone help me

[halcyon ore]

#❓how-to-get-help

[noble jay]

?

[halcyon ore]

u lost me at the 2 measures

[noble jay]

Bro it's really important

[halcyon ore]

i only know

abd and

[noble jay]

I really need

[halcyon ore]

bdc

[noble jay]

It

[halcyon ore]

bro just go to a channel in available and send ur problem there

[noble jay]

Which channel

[halcyon ore]

one of those

[upbeat gorge]

Literally any channel in the category that does not have a usertag

[halcyon ore]

as long as its not taken by the time u get there

[upbeat gorge]

Anyway

[halcyon ore]

yeah so

i only know

abc and bdc are alternate

whats the second one

[upbeat gorge]

I mean the line measures btw

[halcyon ore]

OH

[upbeat gorge]

Not the angle

[halcyon ore]

48 and 36

[upbeat gorge]

What proportions will allow you to use those values and find AB?

[halcyon ore]

i dont know proportions

oh wait

gimme a sec

yeah i dont know

[upbeat gorge]

Do you know corresponding sides though?

[halcyon ore]

corresponding sides are

db should be 48

so 36 should be what 48 is

[halcyon ore]

so 36 represents what 48 represents in the other triangle?

is that what i need to know

[upbeat gorge]

You might want to use this as a guide

[halcyon ore]

arghh

[upbeat gorge]

But yes this is on the right track

[halcyon ore]

all i can see is that

if i put them side by side

36 is where 48 should be

because of the 42 degree angle

https://cdn.discordapp.com/attachments/490557019623915520/1163059354623291502/Screen_Shot_2023-10-15_at_11.22.32_PM.png?ex=653e326e&is=652bbd6e&hm=21a09164f3cd1629aeadae2e2d3deeb533e35011ee68c6cee2298a7b7f74494c&

[upbeat gorge]

How about AB

[halcyon ore]

AB is

what BC is

[upbeat gorge]

nope

[halcyon ore]

but 3/4

dang

then ab is what DB is but 3/4?

[upbeat gorge]

Again, check your corresponding opposite angles

[upbeat gorge]

Yes

[halcyon ore]

NO WAY

[upbeat gorge]

Because AB is opposite the 42° angle

As is DB

[halcyon ore]

YEAHH

I GET WHAT U MEAN

thank u so much

[upbeat gorge]

DB and DC correspond because they’re both opposite the third angle we didn’t talk about before

[halcyon ore]

i see

there is 1 more question

can i send it here

or should i create a new ticket thing

i mean new channel

[upbeat gorge]

If it’s related, just send it here
If it’s completely different, close this channel and open a new one

[halcyon ore]

its related

similar triangle question

[upbeat gorge]

Ok sure send it here

[halcyon ore]

this question

i know the answer but i dont know how to get it

[upbeat gorge]

you spot the similar triangles here right

[halcyon ore]

yes

i see the parallel lines too

[upbeat gorge]

It’s proportions again

[halcyon ore]

oh

[upbeat gorge]

Give me the two pairs of corresponding sides that would help the most

[halcyon ore]

hmm

bd and bc

i mean

yeah

no

bd and dc

[upbeat gorge]

The other?

[halcyon ore]

hmm

ab

and ec

[upbeat gorge]

Yes

You might want to let DC=x as a placeholder variable

So the proportions make sense

[halcyon ore]

ok

[upbeat gorge]

Then BD is what?

[halcyon ore]

x+5

[upbeat gorge]

Yes

Now you can make a proportion and solve for x

[halcyon ore]

hmm

making proportion is hard

i cant think of how to make it again

x + 5 - x = ab - ec

uhh

idk

@upbeat gorge how can i think of how to make the proportion

[halcyon ore]

this work but idk how to use to get dc

ok ig u gone

.close

[lone heart]

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[stable warren]

i dont understand how he concluded

$(-1)^8\dot (i)^8$

[ocean seal]

TechySkills

[stable warren]

https://cdn.discordapp.com/emojis/1129243468259151912.webp?size=48&name=breadraised&quality=lossless

[exotic canopy]

(-i) = (-1)(i)

just factoring out -1

[stable warren]

hm

so both will have 8 as their exponent?

[exotic canopy]

yes

[stable warren]

if so; -1 will become 1

and multiply by i will become i^8

so;

$-i^8 = i^8?$

[ocean seal]

TechySkills

[stable warren]

$i^8 = 1$

[ocean seal]

TechySkills

[stable warren]

so;

$-i^8 = i^8 = 1$

[ocean seal]

TechySkills

[stable warren]

am i correct?

[exotic canopy]

careful about brackets

$-i^8 = -1$\
$(-i)^8 = 1$

[ocean seal]

artemetra

[stable warren]

what is difference?

[exotic canopy]

the first one is $-(i^8)$, the second one is $(-i)^8$

[ocean seal]

artemetra

[lone heart]

@stable warren Has your question been resolved?

[stable warren]

hmm

arent both the same?

Hmm

$-(i^8) = -(i^2)^4 = -(-1)^4 = -(1) = -1$

[ocean seal]

TechySkills

[stable warren]

$(-i)^8 = (-1)^8 (i)^8 = (1) (i^2)^4 = (-1)^4 = 1$

[ocean seal]

TechySkills

[lone heart]

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[round comet]

how do i do this?

[lone heart]

@round comet Has your question been resolved?

[lone heart]

@round comet Has your question been resolved?

[round comet]

.close

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[fair musk]

Why no solution? I squared it and got 4

I thought algebra was always right

[uncut torrent]

not always :3

plug 4 into that equation, what do you get

[fair musk]

2

[uncut torrent]

so not -2

hence, 4 isnt a solution

[fair musk]

Then why did algebra tell me otherwise

[uncut torrent]

its because the square root always gives a positive answer

unless you use complex numbers which im gonna assume you dont know abuot

this equation is solvable, but not without complex numbers

using real numbers (1, -4, 0.045, etc), there is no answer

[fair musk]

Whats the complex number soln?

[mellow knoll]

x = y implies x^2 = y^2
but x^2 = y^2 doesnt imply x = y

so whenever you square an equation you have to plug your answers back in at the end to check them

[lone heart]

@fair musk Has your question been resolved?

[languid bolt]

i don't think there's an answer even if you use complex numbers.

[uncut torrent]

realised that after i said it thats why i shut up :3

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[round comet]

could someone help me with b please?

[languid bolt]

try factoring out x1x2 for b.

from the question itself.

what do you get? @round comet

[round comet]

Like this?

[languid bolt]

you have the latter part right?

from a

[round comet]

Yes x1x2= -1.5

[opal jolt]

that's the first part, not the latter

[round comet]

Sorry x1^2 + x2^2 = 9.25

I mean 61/4

[opal jolt]

however, since you have both, you can now compute the product

[languid bolt]

i was talking about the latter part of the expression she wrote tho.

[opal jolt]

i'm aware, and she gave the other part of the expression she wrote

[round comet]

I got -22.875

Thank you for part b btw!

[round comet]

With c should I do a similar bit with trying to factorise or separate the fractions out

[gray isle]

combine into single fraction, followed by factorsiation

[round comet]

awesome thank you ill try now!

[round comet]

I combined it but I’m stumped on the factorising bit

I made the bottom (x1x2)^2

So -1.5^2

[gray isle]

the numerator is a sum of two cubes

there's a factorisation identify for that

and like before, you can use the previous sections to calculation to resultant expressions

[round comet]

I’ve got up to this bit

[gray isle]

a^2 - ab + b^2 = a^2 + b^2 - ab

[round comet]

??

[gray isle]

no

[round comet]

Oops

[gray isle]

$a^2 + b^2 \redneq (a+b)^2$

[ocean seal]

ℝαμΩℕωⅤ

[round comet]

-2ab

[gray isle]

again note that you have the value of $x_1^2 + x_2^2$ from earlier

[ocean seal]

ℝαμΩℕωⅤ

[round comet]

Sorry last question!!

I’m trying to do part d

What do I do from here?

[outer osprey]

x1^2 + x2^2 = 9.25 ?

[round comet]

No sorry haha I meant 61/4

Hopefully that’s the right answer

[round comet]

Do you know how I can go about d?

[round comet]

I’m trying d but I’ve got a bit stuck at this point

[lone heart]

@round comet Has your question been resolved?

[round comet]

<@&286206848099549185>

[knotty turret]

?

yeah

wsp

hello?

@round comet

[round comet]

yes sorry!

[round comet]

i was stuck on the d part of the question

[knotty turret]

oh

can u repost

i dont get what ur asking xd

[round comet]

Sorry haha

I’ve gotten them all up to d and I’ve reached this point

My answers are above in the chat

[knotty turret]

back

sry

[round comet]

no worries

[knotty turret]

oh

wait what lvl math is this

[round comet]

like year 12 uk or grade 11 us

[round comet]

i think

[knotty turret]

im in geo btw

im in 7th grade

[round comet]

oh damn

haha then maybe dont worry about it

[knotty turret]

sorry.

[round comet]

no worries!!

.close

[lone heart]

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[round comet]

how do i begin this?

[lone heart]

@round comet Has your question been resolved?

[glacial patrol]

Square both sides, watch out for extraneous solution which make the terms under the square roots negative if there are any (idk, I haven't checked)

Er might need arccos too

Good news is terms under square roots r always nonnegative

[winged lava]

^

[round comet]

thank you ill try now

.close

[lone heart]

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@alpine sable Has your question been resolved?

Someone else is already using this help channel. If you need help with a question, please open your own help channel/thread (see #❓how-to-get-help for instructions).

[alpine nacelle]

Maverix -> this means you evaluate the function inside the parenthesis at 1 minus the same evaluated at 0

it's what comes from your integral

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

@alpine sable Has your question been resolved?

[alpine sable]

If data is left skewed, what do you use median or mean?

@lone heart

<@&286206848099549185>

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@alpine sable Has your question been resolved?

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To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

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[lone heart]

@alpine sable Has your question been resolved?

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@alpine sable Has your question been resolved?

[bitter crater]

Idk how to solve this

[ancient saddle]

Yes and that's ⅙. As it's a density function, the integral (over its domain) must be 1

That's why in the end they solve
k/6 = 1

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[tawny imp]

find sec θ if sin θ=-4/-5 and 180<θ<=270

[tawny imp]

.close

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[dawn quail]

Is this true or should I use x= instead of f^-1(x) =

[wanton nova]

thats not how you find the inverse

that's only the first step

[dawn quail]

I haven't finished yet

[wanton nova]

and yes, for the first step you use x

[wanton nova]

you switch x and y

[dawn quail]

so to say f^-1(x) = x is incorrect
but f(f^-1(x)) = x is correct
or f^-1(f(x)) = x is also correct

[wanton nova]

also there shouldnt be powers or fractions on top of fractions in your final answer

[dawn quail]

wdym?

[wanton nova]

did you finish?

is that the last step

if yes, it's incomplete

[dawn quail]

this is better?

[wanton nova]

yes

[dawn quail]

but what's wrong with this if it means the same thing?

just another way to write it

[wanton nova]

it's not finished

[dawn quail]

wdym by "finished" exactly

[wanton nova]

it's like saying the answer is 4+4

and not 8

[dawn quail]

it's given an exact value for y tho

how is it different than the end result? there is addition and division involved still

[wanton nova]

y=4+4 is the same

as y=8

[dawn quail]

lol

[lone heart]

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[lone heart]

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[fringe sleet]

do you know what the single arrows and double arrows tell you?

[alpine sable]

Yes double are parallel

Arrows mean parallel@lines

[fringe sleet]

yes the 2 double arrows signify that the lines containing those arrow are parallell. but this is also the case for the single arrows

[alpine sable]

So it’s something to do with parallel lines

And the fact they don’t cross

[fringe sleet]

yep, and is there some angle fact that you can think of when it comes to angles made up of lines which are parallell to one another?

[alpine sable]

Corresponding angles are equal

Thanks for the help

[fringe sleet]

no problem

[alpine sable]

.close

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[sinful anvil]

how do i find the mean?

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@sinful anvil Has your question been resolved?

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[ionic sedge]

can someone help me on this

[ionic sedge]

i believe these two are the right answers

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[unreal patrol]

does anyone know the answer to this

need answer fast

[vale wigeon]

why fast

[unreal patrol]

been stuck on it for so long

[vale wigeon]

are you taking a test right now?

[unreal patrol]

no

[vale wigeon]

then why the point value in the top right

• the urgency

[plucky chasm]

🤔

[vale wigeon]

sus as shit if you ask me

[unreal patrol]

😭

its a ss

[alpine sable]

i mean it could be a hw assignment

[vale wigeon]

we don't give out answers anyway

[unreal patrol]

omd

[unreal patrol]

literally

yk the answer or nah?

[alpine sable]

just plug in the formula for mclaurin tho

not off the top of my head

[unreal patrol]

ah ok

if anyone knows please lmk

tag me

@alpine sable

what does

as far as the term in x^3 mean?

[alpine sable]

when you expand a maclaurin series you have a polynomial with each following x power being incremented by one

so something like a + bx^2 + cx^3....

its basically asking you to find the expansion until its a third degree polynomail

its been a while since ive worked with these so im very rusty sorry

[real gazelle]

Screenshot of what lol

[unreal patrol]

my hw

[real gazelle]

Alright

[unreal patrol]

interegating fr

[lone heart]

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[lone heart]

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[paper terrace]

how is this wrong ?

[paper terrace]

am i supposed to write it as 2.2*10^2?

[jagged cobalt]

the . after it is making me wary, to me it is implying the presence of a decimal place

i dont see why else thered be a . after a number here

1st option feels safest indeed

[lone heart]

@paper terrace Has your question been resolved?

[paper terrace]

wouldn’t there be a 0 after it though

there’s one after the second option too

i thought we were only supposed to use scientific notation for 10^3 or higher

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[lone heart]

@paper terrace Has your question been resolved?

[paper terrace]

.close

[lone heart]

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Channel closed

Closed due to the original message being deleted

[alpine sable]

original message has my dox lol

how should I approach this?

for the first part especially

[placid zinc]

Deleting that message is closing the channel, sadly

You'll want to take another channel

[last ether]

Okay before it closes, quick hint:

Infinities

R^2 is the entire 2D space

Your bounds are gonna involve infinities

[alpine sable]

r= infinity maybe?

idk

[last ether]

Yeah

0 to infinity

[median oar]

Not equal*

[alpine sable]

I mean it doesn't even let me define r

[median oar]

!msgdelete

[lone heart]

The original post of this help channel has been deleted, and it will abruptly close and possibly lock. (This is irreversible.) Please claim a new channel, and don't delete the first message of any future channel you claim.

[median oar]

Go make a new channel first

[lone heart]

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[gritty cradle]

how could this be a vertical cusp or a vertical tangent?

[oblique pebble]

well from the graph you can see the vertical tangent

the line flattens out until infinity

^^ not a good definition but a simple way to look at it

[gritty cradle]

@oblique pebble ty, also why isnt this a cusp?

[oblique pebble]

i would find the derivative for cusps instead of looking at the graphs

if the derivative doesn't exist at that point its a cusp or corner

also zoom in

its probably smooth if u zoom in

[gritty cradle]

yah it is

so would it be neither?

[oblique pebble]

this is a cusp

u can clearly see a sharp corner

yours is a smooth curve

[oblique pebble]

think so

[gritty cradle]

let me try another attempt and see

@oblique pebble alr ty man

[oblique pebble]

yw

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[distant nymph]

Okay I learned how to find the answer, but I don’t know why diagram A is the correct picture

[lone heart]

@distant nymph Has your question been resolved?

[lone heart]

@distant nymph Has your question been resolved?

[quaint falcon]

based on the expression (sin^-1 (7x)) we know that sin(theta) = 7x

sin is opposite over hypotenuse

so the side opposite theta has to be 7x, and the hypotenuse has to be 1

so you get 7x/1 = 7x for sin(theta)

and A is the only option where those values are in the right spot

[distant nymph]

i see

thx

.close

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[still fulcrum]

Hey can anyone help!

[proven leaf]

[still fulcrum]

Ignore the second pic

This isn’t a tessilation because there are gaps between the circles, right?

[proven leaf]

I assume you didn't mean to send the second pic?

lol

[still fulcrum]

No soz 😭

[proven leaf]

do you know what a tessellation means?

[still fulcrum]

It’s not a tessilation because there are gaps between the circles

Kind of

A pattern with no gaps

Or overlaps

[proven leaf]

[still fulcrum]

Kk Tyy

Also

[proven leaf]

...?

[still fulcrum]

What does it mean to “state the value of the sum a+ b + c

Does it mean state the answer?

Would I write a +b+c = 180

[proven leaf]

without the math jargon: "What is a+b+c?"

[still fulcrum]

Kkkk

[proven leaf]

but as you get down the line in math

that math jargon is very important :)

[still fulcrum]

What the flip

Is maths jargon

😭😭

[proven leaf]

jargon means like specilized words for math

[still fulcrum]

Oooh!

I see

[proven leaf]

like "state the value of the sum" blah blah blah

[still fulcrum]

Oooh

Damn

[proven leaf]

here it's not totally improtant

[still fulcrum]

Thanks for ur help

[proven leaf]

but math jargon definitely will be later in your math career

[still fulcrum]

Wait I write 180 right?

[proven leaf]

I hate to be that guy, but 180 what? degrees? radians? chickens? mickey mouses?

[still fulcrum]

Degree

Soz

[proven leaf]

you're good, it's just important to begin getting used to that :)

[still fulcrum]

Yhyhyh ty

Thanks for ur help!

[proven leaf]

[still fulcrum]

.close

[lone heart]

Channel closed

Closed by @still fulcrum

Use .reopen if this was a mistake.

[lone heart]

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[keen fossil]

hello

[tacit arch]

[keen fossil]

riemann

how do u solve

11√10 - √90

[tacit arch]

What's there to solve

Do you have an equation or variable

[keen fossil]

simplify

i mean

heh

[tacit arch]

9 = 3 * 3

[keen fossil]

yes indeed

so 30 times 30

but that is not a perfect square is it

sire

@tacit arch

[tacit arch]

30 * 30 = 900

,calc 30*30

[ocean seal]

Result:

900

[keen fossil]

ok

wait

i misread the quesiton

@tacit arch

it was 11√10 - √90

so i got 4√10

is dat corect

[tacit arch]

Use a calculator to check

[lone heart]

@keen fossil Has your question been resolved?

[keen fossil]

can u help with something

[tacit arch]

?

[keen fossil]

idk how the calculator got this

[tacit arch]

[keen fossil]

but it got 13√5 i think

for this prpoblem

and idk how it got it

but its

7√45 - 2√80

and i happened to get 1√5

pls help

[keen fossil]

riemann

i askd

[tacit arch]

What question

Or problem

[keen fossil]

dis won

its extremely irritating

and i tried to solve it already

dont know where i went wrong

riemann