help-0

[hard patio]

have you tried anything?

[mellow oriole]

nop

i dont know wgat to do

[mellow oriole]

^

[hard patio]

okay

from the figure given

can you infer what the sides of the rectangle are?

[lone heart]

@mellow oriole Has your question been resolved?

[mellow oriole]

uhh

top right square is 10

bottom left x^2

last two 5x and 2x

[hard patio]

And all of them added together is 40

[mellow oriole]

yes

[hard patio]

So

What equation do you get?

[mellow oriole]

x^2+7x+10=40

x^2+7x=30

idk what to do next

[hard patio]

Do you know how to

[mellow oriole]

noppe

[hard patio]

Solve quadratic equations

[mellow oriole]

formuka

[hard patio]

Okay you can use it

[mellow oriole]

30= quadratic formula of that question?

to find x

[hard patio]

So what values do you get for x?

[hard patio]

???

[mellow oriole]

i gotta do it

[hard patio]

No

[mellow oriole]

uhhh

[hard patio]

You shift everything to one side

And c=-30

[mellow oriole]

what

ohh so i make everything = 0?

[hard patio]

x^2+7x-30=0

[hard patio]

Yes

Wait

What do you everything

[mellow oriole]

i did it

now quadratic formulav

?

[hard patio]

Now plug the a,b,c into the quadratic formula

Yes

[mellow oriole]

ok

now what

i got -3

and 10

@hard patio

[hard patio]

Huh

[mellow oriole]

uhh

did i do it wrong

crap

[hard patio]

It’s -10 and 3 I think

[mellow oriole]

7+13

[hard patio]

Did you mess up any signs?

[mellow oriole]

7-13

then divide by 2

i think u messed up

7-13

-6

-6/2 = -3

7+13=20

20/2=10

[hard patio]

Try plugging your answers into the original equation

[mellow oriole]

ok

[hard patio]

You answers don’t work

Your*

[mellow oriole]

oh

ok

i git it

ty

.close

[lone heart]

Channel closed

Closed by @mellow oriole

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[simple jetty]

how do I solve 51

[thorny patio]

Figure out what quadrant that value is in first

You are radians so to be in quadrant 1 you are between 0 and pi/2

Q2 is pi/2 to pi

Etc

The number 4.8 is between 2 of those "cardinal direction" angles

(Use a calculator to approximate the radian anglevalues)

[lone heart]

@simple jetty Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[final badge]

how to solve 6(-7+6i)(-4+2i)

[final badge]

Do I distribute the 6 to everything inside the parentheses?

[thorny patio]

Think of it as 3 different objects

When you distribute 6 into one of them

You have used the 6 already

[final badge]

oh...

[thorny patio]

Also remember you can multiply in any order

So i would personally recommend multiplying the 2 complex numbers first

And then distribute 6 at the end

[final badge]

ah kay. thz

[thorny patio]

Yw

[final badge]

.close

[lone heart]

Channel closed

Closed by @final badge

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

for these, do I just test the 3 conditions?

f(-2) != lim f(x) as x -> -2 right

You can just say that at f(-2) the function does not exist, thus having an ____ discontinuity

You can fill in the ___ yourself

[alpine sable]

it does

f(-2) = 1

Ah i was talking about 27

ok

for 28

[thorny patio]

Yes for 28 you need limit exists and f(x) = lim of f(x)

[alpine sable]

Well even if it does exist, you need to check if their limits are equal anyways

f(-2) != lim f(x) as x -> -2 right

[thorny patio]

Yes that's true but you have to show it a bit more than that

[alpine sable]

how

What do you get as the limit of f(x) as it approaches -2?

1

or there's a hole

[thorny patio]

The limit is not 1 the limit is what the function is doing as it gets close to that point

[alpine sable]

Are you sure about that

[thorny patio]

Not what value it has at that point

[alpine sable]

i need to graph it then?

[thorny patio]

It wouldn't hurt to get a better idea

[alpine sable]

idk

that's my only idea

as it approaches -2 it is something like -1.999999 and -2.00001 from both sides but not -2 itself

[alpine sable]

yes

but they're DNE

lim is DNE

Exactly!

ic where ur going ok

You are getting there

what about when there's inequality

[alpine sable]

so I just need to write that

[tacit arch]

Did you learn one sided limits yet

[alpine sable]

i already know it

@tacit arch i just didn't know when to use it

not that it exists

do I write two limits?

because it's a piecewise

[tacit arch]

One of them is a left sided limit, the other is a right sided limit

[alpine sable]

top one is lim as x goes to -1 from the left = -4

right?

and top is lim from the right = 1/2

but how do I prove it's not continuous

[tacit arch]

Use the definition of continuous

[tacit arch]

How do you get -4

[alpine sable]

i mean -2

[alpine sable]

so since f(-1) DNE, it's not continuous?

[tacit arch]

f(-1) is defined

Since -1<=-1, f(-1)=-1+3

[alpine sable]

f(-1) is 2 though

[alpine sable]

i meant lim

lim f(-1)

[tacit arch]

That's not a limit

There's no x

[alpine sable]

wait

yeah

this is so ez

i just realized

lmao

[tacit arch]

f(-1) means f at -1

You're welcome

[alpine sable]

thank you zad

wait WHAT

how do you do something with cos

[tacit arch]

It's so ez

[alpine sable]

-_-

im not even a math undergrad like u

@tacit arch I have proof why this is not possible

[tacit arch]

Zad will help you

[alpine sable]

i am sorry pls

rienmann

pls

Riemann plz I’m sorry

Idk what x goes to 0 from left is 😭

wait 1

Right ???

[lone heart]

@alpine sable Has your question been resolved?

[alpine sable]

.close

[lone heart]

Channel closed

Closed by @clever musk

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[mossy current]

If you have a 6 sided dice, is the chance you roll three consecutive number - 1,2,3. The same chance of rolling any 3 numbers?

[golden canyon]

does the order of the numbers matter, would 2, 1, 3 also be a valid roll?

[mossy current]

I dont think so, no

[golden canyon]

then, the first digit can only be 1, 2, 3 or 4

[mossy current]

ahhh

[golden canyon]

and the remaining digits each have to be 1 more then the previous

[mossy current]

I seee

okay so

0.25 x 0.25 x 0.25

is the chance of rolling three consecutive numbers?

0.015625 = 1.5625%

Is that correct?

[golden canyon]

even less, the it's 0.25 * 1/6 * 1/6, because the last 2 rolls each have a 1 in 6 chance of being the correct digit

nvm, it's 4/6 * 1/6 * 1/6

[mossy current]

im quite confused haha

Okay so

[golden canyon]

it's the chance of the first one being correct * the chance of the second one being correct * the chance of the last one being correct

[mossy current]

4/6 = It has to be 1,2,3 or 4.

[golden canyon]

yes

[mossy current]

then 1/6

why is that?

[golden canyon]

if the first digit is a 4, the second has to be a 5

there is just one possibility

[mossy current]

Okay so, 1/6 = the next consecutive number

then the final one being the same reason?

[golden canyon]

yes

[mossy current]

4/6 x 1/6 x 1/6 = 0.0185. 1.85%

[golden canyon]

yes

if the order doesn't matter you have to multiply by 6, because there are 3! = 3 * 2 * 1 = 6 ways of rearranging them

[mossy current]

so it would be 4/36 x 1/36 x 1/36

[golden canyon]

if the order doesn't matter, yes

[mossy current]

Alright so if the order didn't matter, 4/36 x 1/36 x 1/36, due to there being 6 ways of rearranging the numbers. If the order does matter 4/6 x 1/6 x 1/6.

Alright thanks for the help, I appreciate it.

This is only talking about 1 dice being thrown right?

[golden canyon]

if 3 dice were thrown at the same time the order wouldn't matter, but otherwise it's still be the same

[mossy current]

im confused

So this working doesent matter if i throw 1 dice, or 3 dice were thrown?

[lone heart]

@mossy current Has your question been resolved?

[golden canyon]

throwing 3 dice at the same time or 1 dice 3 times in a row is the same

[mossy current]

alright apprecaite it

thank you

[lone heart]

Channel closed

Closed by @mossy current

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

i need help with this, physics, thank you, i might have further question if it was solved more complicated than i expected

[hard patio]

Use of the equations of motion

[alpine sable]

I used this formula and it was 3.06 m/s², but my teacher said its wrong

But howcome its wrong

[latent basin]

when you rearrange it solving for v = a * t

[alpine sable]

Its was looking for acceleration

[latent basin]

if theres no Vi its assumed to be 0

Yeah

but you have a

an object in freefall has the same acceleration as gravity

so you have a = 9.82, t = 3.2, vi = 0

youre lookin for vf

[alpine sable]

Wait im lost :*)

[latent basin]

np its alright

[lone heart]

@alpine sable Has your question been resolved?

[alpine sable]

So 31.432 m/s is the final velocity?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lone heart]

Channel closed

Closed due to the original message being deleted

[thorny parcel]

You need help with it?

[misty wyvern]

Yes

[thorny parcel]

Do you see this pattern?

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[cedar vale]

Hi

[cedar vale]

So im suppose to find the missing value of x

i was wondering if what i did was correct

[obsidian tide]

its correct except it would be plus/minus 2

so 2, -2 as solutions

since square root gives you two solutions

[cedar vale]

ohhh so my answer is suppose to be like this?

[obsidian tide]

yeah

or ± 2

[cedar vale]

Ok thanks

.close

[lone heart]

Channel closed

Closed by @cedar vale

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[latent basin]

I need help with this problem

[slender hatch]

Can anyone please help me this I only got 2 hours to answer this

[latent basin]

wc

[slender hatch]

wc?

[latent basin]

go to a chat above this one so u get a room

[slender hatch]

Ok

[lone heart]

@latent basin Has your question been resolved?

[latent basin]

.close

[lone heart]

Channel closed

Closed by @latent basin

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[wanton junco]

Hey channel comers
I could use a bit of a guiding hand on the following question, regarding the basics of fourier analysis:
Show that if $f:\mathbb{R} \to \mathbb{R}$ is a continous, real valued $2\pi$ periodic function s.t. $f\hat(n)=0 $ for all n, then $f(t)=0 \ \forall t\in [-\pi,\pi]$

[ocean seal]

Deus_Vult

[wanton junco]

there's a guidance calsue saying that it is enough to show that f(0)=0, using its continuity property at 0. it says to assume $f(0) < 0$ and construct a function $g(t) : [-\pi,\pi] \to \mathbb{R}$ as a combination of sin and cos functions so that $\int_{-\pi}^{\pi} f(t)g(t)dt >0$, and arrive at a contradiction. an example of such a function is given as, $(\epsilon+\cos{t})^{N}, N\in\mathbb{N} $ where N is as large and $\epsilon$ is as small as we want them to be.

[ocean seal]

Deus_Vult

[lone heart]

@wanton junco Has your question been resolved?

[lone heart]

@wanton junco Has your question been resolved?

[wanton junco]

<@&286206848099549185>

[lone heart]

@wanton junco Has your question been resolved?

[lone heart]

@wanton junco Has your question been resolved?

[heady needle]

i had to play a game 30 times and record my outcomes (win/losses)how am i supposed to find relative and theoretical probabilities

<@&286206848099549185>

[lone heart]

@wanton junco Has your question been resolved?

[spring spade]

I need help with my geometry(algebraic) homework

<@&286206848099549185>

[merry depot]

read #❓how-to-get-help

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[loud root]

I thought log returns can’t be negative values. How does this chart of log returns of bitcoin produce negative values?

[lone heart]

Please don't occupy multiple help channels.

[loud root]

.close

[lone heart]

Channel closed

Closed by @loud root

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[glacial ether]

My friend write down some numbers and explained to me how to do 47 but I forgot can someone tell me

[slate jolt]

,rccw

[slate jolt]

they are counting how many paths to get to each point

[glacial ether]

Explain more pls

[slate jolt]

lets zoom in there

for the top right

theres only one path right?

[glacial ether]

Yes

[slate jolt]

so we put a 1

same for the down left

[glacial ether]

Yes

[slate jolt]

now for the down right one,

we could be coming from the top right or bottom left

right?

[lusty hollow]

monkeybros

[glacial ether]

Help me Tetris man

[glacial ether]

Yes

[slate jolt]

if we come from the top right we had 1 possible path and same for bottom left

so we add those 2 numbers of paths (1 and 1)

and we get 2

if we zoom out a bit

can you explain why we get a 3?

on the rightmost column

[glacial ether]

One unit to right if A plus 2

I think

[slate jolt]

this sentence doesnt make sense to me

if A plus 2?

[glacial ether]

Umm

Add

[slate jolt]

okay but why did you add those 2?

specifically

[glacial ether]

I have no idea

[slate jolt]

lol

[glacial ether]

[slate jolt]

you might aswell have answered pi

[glacial ether]

My friend told me about adding the numbers together so yea

[slate jolt]

didnt you get the logic of what i was doing?

[glacial ether]

No idea y thou

[glacial ether]

Kind of

[slate jolt]

and

what is this logic then?

or what did you get from it

take your time re read it if needed

[glacial ether]

Ok

I see

There are 2 ways to get to that point???

[glacial ether]

.

I understand now

Thank u very much

.close

[lone heart]

Channel closed

Closed by @glacial ether

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[neat imp]

Stuck on calculus math problem

[neat imp]

I have a test tomorrow and really stressed because I don’t know how to do any of this

Can someone help me out?

I figured out I need to product rule left, but I’m not 💯 sure how

<@&286206848099549185>

[lone heart]

@neat imp Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[ocean thunder]

Can someone help me with some something? It's telling me to "Solve the system by elimation", can someone tell me what this means and how to do it?

[ocean thunder]

Could I just use desmos and find when they intercept?

[frank merlin]

no

[ocean thunder]

I mean would I get the same answer

[frank merlin]

yeah

i guess

but like can't do that on the test

[ocean thunder]

Ok, how would I solve by the system of elimination?

[frank merlin]

eliminate a variable

[ocean thunder]

let me get an example rq

x+7y=-5
-x+y=-3

[frank merlin]

just add the system

and you eliminated x

[ocean thunder]

wdym?

[frank merlin]

add the first eq and 2nd eq

[ocean thunder]

so 8y=-8

[frank merlin]

uh huh

[ocean thunder]

and then what?

How would I get from 8y=-8 to (2,-1)?

obv the line intersects with the two equations and (2,-1) is on the line 8y=-8 but how would I find (2,-1) without using the first two equations on a graph

[lone heart]

@ocean thunder Has your question been resolved?

[ocean thunder]

So how do I solve using the system of elimation, I know the first step is to add both of the equations together but how do I get the coordinate pair.

I get 8y=-8 from
x+7y=-5
-x+y=-3
How do I get (2,-1)

[lethal pelican]

So then you get y=-1

Then, you can just plug it in, which will give you x

[ocean thunder]

wdym plug it in to get x?

[lethal pelican]

Substitute y for -1

[ocean thunder]

That's just pretending it's 8 . -1 right

which would be -8 = -8?

[lethal pelican]

No into one of these equations. x +7y=-5 or -x+y=-3

Cause you first used elimination to get y =-1, and now you can use y to find x

[ocean thunder]

oh ok

so 8y=-8 so y = -1 and
x+7(-1) = -5

so x must equal 2, I see

How would I solve a system of linear equations using substition?

I just need an example so I can understand
One of the problems is

3x+2y=12
y=x-9

[ocean thunder]

<@&286206848099549185>

[pure plover]

just subsitute y from 2 into 1

3x+2(x-9)=12

x=6

[ocean thunder]

y from 2 as in 2y right?

[pure plover]

y from second equation

y=x-9

from second equation

[ocean thunder]

Yep

[pure plover]

just copy paste x-9 wherever you find y in the first equation

Thats called substituteion

substitute it

[ocean thunder]

so 3x + 2x-18 = 12

5x - 18 = 12

[pure plover]

yup

yup

[ocean thunder]

Then I add 18 to both sides?

[pure plover]

yep

[ocean thunder]

Then I can just substitute 6 in y = x-9 right

being y = 6-9

[pure plover]

yep

[ocean thunder]

How can I check if a solution has infinitely many solutions no solutions or coordinate pairs?

I'll drop an example

y=3x+8
y=-3x+8

Does it have to do something with then intercepting with each other?

[alpine sable]

Yes. These are both lines, and so when you solve for x and y, those values will make a new point (x,y) that these two lines intersept at

[ocean thunder]

From what I know, if the two lines have the same intercept and slope it has infinite solutions right

[alpine sable]

Correct, but the two lines you gave do not have the same slope. One is the negative of the other

[ocean thunder]

yeah

If they intercept what does that mean for the solutions?

[alpine sable]

If they were the exact same then they would have infinite points of intersection

[alpine sable]

It just means there’s one point where they cross

[ocean thunder]

so one solution?

[alpine sable]

For lines there will always only be 1 point where they intercept. You will get one x value and one y value, but this only counts as one solution because it’s one point (x,y)

[ocean thunder]

What if they're parallel?

[alpine sable]

if they are parallel they have 0 points of intersection

[lone heart]

@ocean thunder Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[vale junco]

Hello. I have a question.
It is given that f(sin(x))=f(cos(x)), and you need to find an example to f(x).
note that f(x)=c is not acceptable

[tacit arch]

Why not c is acceptable?

[vale junco]

Because it's obvious

when you have a function f(x)=c it solves all equations from type
f(u(x))=f(g(x))

[tacit arch]

Why are obvious answers not acceptable?

[vale junco]

Idk because I wanna know how to solve this kind of stuff

but find all the solutions

[rose sigil]

did you make the problem up?

just wondering

[vale junco]

Ig

I mean I had some stuff similiar to this

and I just tried making up problems because I was bored in English class and then I came up with this and I couldn't solve it for days

I did make progress though

[tacit arch]

So you don't even know if such a function exists?

What progress?

[vale junco]

ok ill show

$f\left(g\left(x\right)\right)=g\left(x\right)\cdot \frac{d}{dx}\left(g\left(-x\right)\right)$

[ocean seal]

sloppymope

[vale junco]

this family of functions solves it

Because sin(-x)=-sin(x)

[vale junco]

Even if it doesn't exist I just wanna show it

[rose sigil]

i have a nonconstant function but i don't think you'll like it

[vale junco]

show meee

[tacit arch]

Your question implied it exists

[vale junco]

oh sorry

Then I probably said it in a stupid way

[tacit arch]

But you didn't actually demonstrate it does yet

[rose sigil]

f(x) = 0 if -1 <= x < 1, f(x) = 5 (or literally whatever you want) otherwise

[vale junco]

what abt this:

oh wait nvm

[vale junco]

-_-

[rose sigil]

i said you weren't gonna like it, i'm sorry T_T

[vale junco]

Well anyways

so there is no actual way to find this function right?

Ig ill close this channel now cuz

cya and ty for your help

.close

[lone heart]

Channel closed

Closed by @vale junco

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[fringe yoke]

X

[fringe yoke]

Can someone explain this to me:

It's a theorem

$[x] = [y] \Longleftrightarrow x\sim y$

[ocean seal]

Tim O’Brien

[fringe yoke]

So if two equivalence classes are the same, then something?

and the other way around

[lone heart]

@fringe yoke Has your question been resolved?

[lone heart]

@fringe yoke Has your question been resolved?

[lone heart]

@fringe yoke Has your question been resolved?

[noble sinew]

Surely your book says what [.] means

Is this lp spaces context?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

hey

[high rapids]

Ask

[alpine sable]

So i = Ke^st

so just substitute Ke^st instead of i

after taking the derivative of Ke^st we get this and we can factor out

To make this equation true , the last part in brackets ( ) has to be equal to 0

so if i use the quadratic formula i get : s1 & s2 but later on it says i = K1e^s1t + K2e^s2t

basically it's something to do with homogenous equation etc..

why is the solution the sum of all homogeneous solution , ?

i have not much idea what's a a homogeneous solution , just if i could get some easy fast explanation here

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[digital walrus]

Hi

I'm looking for some basic Topology exercises. Like:

• Determine the interior of a set in the given metric
• Is this set is a border set
• Is this space a Complete metric space
• Is this family a base
• Is this space a Separable space

Things around this scope

[lone heart]

@digital walrus Has your question been resolved?

[lone heart]

@digital walrus Has your question been resolved?

[lone heart]

@digital walrus Has your question been resolved?

[muted halo]

Is this where we ask quetions

I have to determine the equation or the quadratic functions so my first 1 says: the quadratic function with zeros 0 and 8 that passes through the point (-3,-6)

[modern topaz]

no

this channel is occupied

u have to choose an empty channel

[digital walrus]

<@&286206848099549185>

[lone heart]

@digital walrus Has your question been resolved?

[lone heart]

@digital walrus Has your question been resolved?

[lone heart]

@digital walrus Has your question been resolved?

[frank heath]

.close

[lone heart]

Channel closed

Closed by @frank heath

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[digital walrus]

Hi

I'm looking for some basic Topology exercises (with answers). Like:

• Determine the interior of a set in the given metric
• Is this set is a border set
• Is this space a Complete metric space
• Is this family a base
• Is this space a Separable space

Things around this scope

[digital walrus]

@frank heath why did you close this question?

[rose sigil]

honestly you could make those up yourself

[digital walrus]

Bro

How do I Know if I did them right?

[ornate condor]

hey

layla is now cursive

nice

[digital walrus]

I don't need to do any exercises if i can create them with answers

[rose sigil]

wdym?

[digital walrus]

I want to do exercises because I don't know this topic very well

So If this subject is hard for me, I cannot create exercises myself

Try to create exercises for subject u don't know

[rose sigil]

but you can make problems like that just from knowing a few spaces

like R or discrete spaces or some particular finite spaces

[digital walrus]

I tried to do that and got 0 test points because I did them wrong

[rose sigil]

[digital walrus]

So this doesn't work for me

I cannot create excercises

Because I don't know the topic

And to train it I need exercises

[rose sigil]

ok sorry

[digital walrus]

Just please help me, I'm looking for them about a month

[rose sigil]

i’m not sure, have you looked in any (maybe on the easier side) topology books?

[digital walrus]

Yes, I even ordered one in desperation and it doesn't have exercises I need

[rose sigil]

oh :c

[digital walrus]

9/10 times I cannot check if book that I'm ordering has those type of exercises

That's why I'm asking for help

[lone heart]

@digital walrus Has your question been resolved?

[lone heart]

@digital walrus Has your question been resolved?

[lone heart]

@digital walrus Has your question been resolved?

[digital walrus]

<@&286206848099549185>

[lone heart]

@digital walrus Has your question been resolved?

[night basin]

does that help? @digital walrus
https://profs.info.uaic.ro/~fliacob/An1/2017-2018/Resurse pentru seminarii/RPS06/Exercises and Solutions.pdf

[lone heart]

@digital walrus Has your question been resolved?

[digital walrus]

Checking

[digital walrus]

ok it does help a little but this is still only a few exercises for the topics that I need

Thanks bro, It helps me ❤️

[night basin]

Nice, though i just googled "basic Topology exercises" and took the first, that seemed to fit....
I guess there are a lot more good exercises to be found there...
I am interested: How does it come you need to learn it, but have no learning material?

[digital walrus]

My professor told me to make excercies myself

[frank heath]

.close

[lone heart]

Channel closed

Closed by @frank heath

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[mint thistle]

how do you get the outer bound of 0-pi

for theta

its like it just comes out of no where

If use a 3d grapher it is obvious but how do you get this algebriacally

[lone heart]

@mint thistle Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[languid lichen]

A soda can is modeled by a cylinder of radius r and height h.

b) An operator wants to change the
nice
shape of his cans. He plans to increase the radius by 20%.
By what number must he divide the height to keep the same volume?
c) Deduce the percentage reduction he must apply to the height. Round to the nearest tenth.
i use translater so if its not perfect i can explain
*

[lone heart]

@languid lichen Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[inner pulsar]

Lia was supposed to make payments of $1766 6 years ago and $1000 5 years ago to settle a loan. If Lia would like to settle both of the payments today, what total amount would she have to pay if interest of 4.70% compounded semi-annually is charged?

[inner pulsar]

very confused on how to tackle this any help is great

[alpine sable]

wait so

the 4.7%is yearly?

4.7% interest

if yes get the 4.7% of 1766$ and multiply by 6 then lets say we get X
and get the 4.7% of 1000$ and multiply by 5 say its Y
then add X and Y and add them to 2766$

[lone heart]

@inner pulsar Has your question been resolved?

[inner pulsar]

4.7% is every 6 months not yearly

<@&286206848099549185>

[alpine sable]

if yes get the 4.7% of 1766$ and multiply by 12 then lets say we get X
and get the 4.7% of 1000$ and multiply by 10 say its Y
then add X and Y and add them to 2766$

thats how you solve it

unless
the 4.7% is added to the total each 6 months
then you have to calculate the (4.7% of the total + the 4.7% interest last time )

wait i can give you the final answer
just tell me does the 6month 4.7%interest get added to the total after each 6months so then you have to include in the total the next time you calculate the interest?? @inner pulsar

this is fun

[inner pulsar]

yeah it does

[alpine sable]

ok lemme get a paper gimme 3minutes

[inner pulsar]

for sure for sure thank you

[alpine sable]

4647.4$

@inner pulsar

[inner pulsar]

perfect man thats what I got too thank you

[alpine sable]

amazing

glad to help

[inner pulsar]

.close

[lone heart]

Channel closed

Closed by @inner pulsar

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[wicked tree]

i need to figure out if this diverges/converges

did I solve correctly?

(I used the ratio test)

[near hollow]

the ratio test is a limit

If $\lim_{n\rightarrow \infty} \abs{\frac{a_{n+1}}{a_n}}<1$ then we get convergence

[ocean seal]

Max..

[near hollow]

so what you wrote is correct except u need to add the absolute values and limit

and then determine what the limit goes to

[wicked tree]

where do I add absolute values?

around the whole fraction?

also in that case if I take the limit of 1/4n that goes to 0 and therefore converges yes?

[near hollow]

yes just apply this

[near hollow]

yep

make sure when learning this stuff you pay close attention to your lecture notes

"What is the ratio test, what does it test and how to carry it out?"

what you did is write, you considered a ratio but if you look at your notes the limit and absolute value will be there and its really important

[lone heart]

@wicked tree Has your question been resolved?

Channel closed

Closed by @wicked tree

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

Hello, I need help trying to write the double integral and this is what I've done so far:

[alpine sable]

, rotate

[alpine sable]

Does this hold true? Nevermind the C region, it's all B from -1 to 0, and from 0 to 1 it's region A

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[alpine sable]

Hello?

.reopen

[lone heart]

✅

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[weary wyvern]

Presumable it means {z in R^2 : |z - P| < r}

So the statement really means there exists an r such that ...

Disk

More commonly this is referred to as:

$\mathbb{B} (P,r)$

[ocean seal]

giannis_money

[weary wyvern]

B stands for ball here

No it's a positive real number

[edgy walrus]

r is the radius

its just a disk at point P with radius r

[vale mirage]

can someone here please solve the riemann hypothesis

[edgy walrus]

you should open another help channel

because its a local extreme value, we want to look at a specific region
so its saying that a point is a local max or local min if you can encompass it in a disk/ball of radius r such that every other point is less than it for local max and great than it for local min

[weary wyvern]

No just a circle in the x-y plane but you fill in the circle and remove the circle itself so you just have the interior

[lone heart]

Channel closed

Closed by @hallow light

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[vale mirage]

can someone here please solve the riemann hypothesis

[marsh rapids]

Never funny. Even less so when there's already plenty (like peak hour) of help channels taken up by people who aren't trolling and actually need help

[weary wyvern]

Apparently someone partially solved it today

[marsh rapids]

Holy shit

[weary wyvern]

I mean a few days ago

[vale mirage]

i just need someone to explain why no one has solved it yet

[marsh rapids]

Yeah I'm reading up on that rn

[lone heart]

@vale mirage Has your question been resolved?

[alpine sable]

Could you help @marsh rapids

Need some help with double integrals and polar coordinates, I think I have written in the right way but i don't get the correct result:

,rotate

[alpine sable]

It's wrong, should be 2 I think

[marsh rapids]

Just open your own help channel

[alpine sable]

Oh okay

[lone heart]

@vale mirage Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

Please don't occupy multiple help channels.

[lone heart]

@honest oyster Has your question been resolved?

Channel closed

Closed by @honest oyster

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[wheat isle]

Are unreal and not real roots the same thing?

[rose sigil]

probably the same?

[wheat isle]

Because it says find the value of k when the “equation” has no real roots

and the discriminant of <0 means unreal roots

Wait

I’m dumb

.close

[lone heart]

Channel closed

Closed by @wheat isle

Use .reopen if this was a mistake.

[rose sigil]

umm ok haha

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[delicate fjord]

i have a question about this series

[golden stratus]

you can just ask a question, you don't have to announce it

[delicate fjord]

sorry okay i guess my question is about alternating series test

so for this asubn would be 1/sqrt(n) correct?

[golden stratus]

It depends what you mean by a_n . There is no standard meaning of a_n

[delicate fjord]

well like in the alternating series test the form is (-1)^n a_n

so in this case that would be 1/sqrt(n)

[golden stratus]

Yes if that is the form you take, then a_n is 1 / sqrt(n). But just saying "a_n" with no context means nothing to anyone

[delicate fjord]

okay so why is it when we test for absolute convergence he is now using the entire series formula not a_n

since we already established a_n was 1/sqrt(n)

is this an error?

[golden stratus]

clearly he's doing something else. Again, we would need more context

Oh sorry, because he's doing absolute convergence, so the alternating series test is irrelevant

[delicate fjord]

okay thats what i thought too

but

as he gets the absolute value he drops the ^n as if hes using the wrong a_n?

[golden stratus]

well what is the absolute value of (-1)^n?

[delicate fjord]

please tell me it would be 1^n

[golden stratus]

what's another name for 1^n

[delicate fjord]

umm im not sure

[golden stratus]

hint: the anser is in the screenshot you just shared

*answer

[delicate fjord]

oh no im blind

[lone heart]

@delicate fjord Has your question been resolved?

[delicate fjord]

.close\

.close

[lone heart]

Channel closed

Closed by @delicate fjord

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[carmine anchor]

Polynomial function: 1. f(x) = -5x + 2 2. f(x) x^2 + 3x + 2

[carmine anchor]

the question is asking me to sketch these into graph

how do i do that?

[vagrant sphinx]

-5x + 2 is not a polynomial function

In order to graph a polynomial function, take a table and set your X’s values

plug your x value into the equation and solve for y

Then you can plot the points from there

[rose sigil]

huh?

[carmine anchor]

the x^2 on num 2 is also negative (-x^2)

i forgot to write it

[carmine anchor]

how do i do that

[vagrant sphinx]

what do you mean

isn’t a degree of one a linear equation

which is a polynomial of degree 1 i’m stupid

😵‍💫😵‍💫😵‍💫

[vagrant sphinx]

choose x values such as -1

plug that -1 into your polynomial, -5(-1)^2 + 2

So if you chose -1, then your f(x) is -3

then you could chose 0 and 1

[carmine anchor]

hmm okay

[carmine anchor]

how did -5x got ^2?

[vagrant sphinx]

can you rewrite the equation

[lone heart]

@carmine anchor Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[gritty pond]

how to memorize 30 60 90 triangle & 45 45 90

[serene junco]

45 45 90 is half of a square

30 60 90 is half of an equilateral triangle

if that helps

[gritty pond]

for intuition of trig function

no geom

[alpine sable]

I always remembered it as "60 is opposite to the big one (square root of 3)* and for 45 45 you can just remember it is 1 1 and realise it must be square root of 2 from there

[gritty pond]

what the heck is "the big one"

😂

[alpine sable]

Lmaoo

[gritty pond]

i thought 60 is bigger than root 3

[alpine sable]

It's weird but it made me remember

Square root of 3 looked chubby to middle school me okay 😔

[karmic solstice]

why u wanna memorise 😭

[alpine sable]

I got sick of forgetting

[karmic solstice]

LEX

[alpine sable]

SKATE

[gritty pond]

i don have time to "Learn" math

[karmic solstice]

[vagrant sphinx]

why can’t you just use sin and cos

[gritty pond]

??

U mean sohcahtoa?

[vagrant sphinx]

sin60 is root 3/2

so opp / hyp

sin30 is 1/2

isn’t that easier then memorizing the stupid triangle

[karmic solstice]

😌

[gritty pond]

i mean we're just memorizing something else

[karmic solstice]

no need to memorise that actually

[gritty pond]

honestly lex method works for me

[karmic solstice]

are u allowed a calc btw

[gritty pond]

i think

unless someone can find a betetr one

no

[karmic solstice]

calculator

ok nvm

then yea memo ur special angles

[gritty pond]

yeah

calculus

[karmic solstice]

no

I mean calculator

are u given a calculator

cuz I have a trick

so u don’t gotta memorise special angles

[gritty pond]

No calculator

[karmic solstice]

then gg

[alpine sable]

Yeah let's calculus this shi😎

[karmic solstice]

NOPE

ignore that

[lone heart]

@gritty pond Has your question been resolved?

Channel closed

Closed by @gritty pond

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[tender pulsar]

below in blue is the correct answer

but i dont get how they got it

<@&286206848099549185>

its been 15 minutes

<@&286206848099549185>

please

[lone heart]

@tender pulsar Has your question been resolved?

[tender pulsar]

<@&286206848099549185> please help

[lone heart]

@tender pulsar Has your question been resolved?

[tender pulsar]

<@&286206848099549185>

[lone heart]

@tender pulsar Has your question been resolved?

[tender pulsar]

<@&286206848099549185>

[maiden wave]

@tender pulsar It looks like they are just using the general form given and substituting in the constants

to get y=2sin(4(x+45))+6 to the proper form, the only thing you need to change is making +45 be -(-45)

just match up the variables to the constants and use those values to substitute into the important points

and -45+90/4 is -22.5, maybe you are trying to divide the whole thing by 4?

only 90 is getting divided

feel free to @ me if you are still confused

[tender pulsar]

bruhh i got it

it was doing bedmass wrong

cause i divded it by 4 last

seperately

thank you o much

[maiden wave]

for sure!

[tender pulsar]

.close

[lone heart]

Channel closed

Closed by @tender pulsar

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[reef dawn]

Not all critical points are local min/max right?

[rose sigil]

nope

sorry that might have been unclear

i meant not all critical points are local min/max

you could look at the cubing function for example

[reef dawn]

is it because some are dne?

[rose sigil]

yea that could be, but points where the derivative are 0 don't need to be local mins or maxes either

[reef dawn]

can one point be both abs max and local max?

[rose sigil]

yea, all abs maxes are also local maxes

local max just means it's a max when you look at some interval around the point

abs max means max when you consider the whole domain of the function

[reef dawn]

if a function looks like this theres no local min/max?

[rose sigil]

if the curve continues, then yea

[reef dawn]

ok tysm

[rose sigil]

yep ^-^

[reef dawn]

.close

[lone heart]

Channel closed

Closed by @reef dawn

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[silent urchin]

Hi, I'm quite confused on how to do the last 2 qs

[thorny parcel]

Well do you know that trigonometric functions are periodical?

[silent urchin]

Yes but I don't see any functions which would be the same as cos4pi/3 and is within the range described by the problem

[thorny parcel]

Are you sure?

What quadrant is 4pi/3 in

It is in the third quadrant

[silent urchin]

Third quadrant?

[thorny parcel]

What value does cos 4pi/3 have

[silent urchin]

-0.5

[thorny parcel]

Can you think of a trigonomectric function that has that value that is between 0 and pi/4

It doesnt have to be cos

[silent urchin]

Potentially one of the inverses or cot, csc, sec?

[thorny parcel]

You could just simply do -sin(x)=-0.5

And the x should be within the range

[silent urchin]

Ahhh

-sin(30) = cos(240)?

[thorny parcel]

yea

[silent urchin]

Is it just pi/4 for the last one?

Cotpi/4

[lone heart]

@silent urchin Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[brazen plaza]

Hello I need help to solve this

[brazen plaza]

Pls somebody need to finish my homework

[alpine sable]

Well, for (a), assuming no erroneous input has been given, the program should print out the age of the user, by subtracting the birth year from the calendar year (which gives you the difference, aka your age), and since there is no data of the birth month, it just gives the two possible ages the user might have, if they were born in that year.

And for (b), you can just put an if statement that checks if difference (the variable c) is greater than 22 (well, because it's 2022) and if it is, you can output that the user was born before 2000, if it's equal to 22, then you output they were born in 2000, and if it's smaller, then you can just directly output that they were born after 2000

[lone heart]

@brazen plaza Has your question been resolved?

[signal brook]

Someone might help me with flow rate calculations? I just need to understand it i have the answers already

[pallid scarab]

#❓how-to-get-help
this help channel is already occupied

[brazen plaza]

Help with this please

[brazen plaza]

Anybody fast please

Nvm I only need help with this

Just this page

Please anybody help

[lone heart]

@brazen plaza Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[upbeat girder]

Can someone help me with this question

[lone heart]

@upbeat girder Has your question been resolved?

[sonic kiln]

just use ln(a×b)=ln(a)+ln(b)

and ln(a^b)=b×ln(a)

[sonic kiln]

your answer for b is correct, but not for the other 2

[upbeat girder]

I didn’t get 9x^2 for the numerator

@sonic kiln

[lone heart]

@upbeat girder Has your question been resolved?

Channel closed

Closed by @upbeat girder

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[median oyster]

help

[lone heart]

@median oyster Has your question been resolved?

[lone heart]

@median oyster Has your question been resolved?

[lone heart]

Channel closed

Closed by @median oyster

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[pallid laurel]

Hello, I’m stuck on the third part of this question:

[pallid laurel]

I have done the first two, and I need some help with beginning the third one. I don’t think using the dimension formula will help here

[wooden swallow]

Find an equation of the circle that satisfies the given conditions.
Center at the origin; passes through (2, 6)

is it here where i get help?

someone pls help

[mortal trellis]

get your own channel

if you have U, try thinking about how you can extend U to X

with dim(X) = dim(U)+1

[lone heart]

@pallid laurel Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[hollow trench]

how did she get 1/11

??

[heavy cloak]

By Dividing by 5

The numerator and the denominator of 5/55

[hollow trench]

so if it was like 9/60 it would be 0.15?..

[heavy cloak]

Yes

[hollow trench]

THANK YOU

LOVE YOU

.close

[lone heart]

Channel closed

Closed by @hollow trench

Use .reopen if this was a mistake.

[heavy cloak]

Np

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[gloomy knoll]

i really need help prooving the following inequality using induction:
Let $ x\in\left[ 0,1 \right] $. Lets define a sequence $a_{ i }\in\ { 0,1,2 }$ recursive as following: Let $ i\in \mathbb{N} $ and let
$a_{1},...,a_{i}$ be already defined, then define $a_{i+1}$ as:
$$ a_{i+1} = \max(a\in\ { 0,1,2 }: \frac{a}{3^{i+1}} + \sum_{j=1}^{i} \frac{a_{j}}{3^{j}} \le x)\ $$

Lets also assume that we don't maximize over the empty set.
Now i want to proove that for all $ i\in \mathbb{N} $: $a_{i+1}$ is defined properly and the following inequality is true:
$$ \sum_{j=1}^{i+1} \frac{a_{j}}{3^{j}} \le x \le (\sum_{j=1}^{i} \frac{a_{j}}{3^{j}}) + \frac{1}{3^{i}}$$

Does anyone have hints how to proove it using induction? I don't really get it..
I have problems especially with the maximum function

[ocean seal]

Jυяαנ

[vale wigeon]

the intuition behind this, i think, is that the a_i are the digits in the base-3 expansion of x.

[gloomy knoll]

obviously for i=0 the statement is true because the sums fall into the empty sum..

hmm, okay, thank you, but how does it help me? :c

i have problems just going the straight forward way of prooving it because i dont really know anything about x.

[vale wigeon]

well let's try first proving that a_1 is properly defined

a_1 = max(a ∈ {0,1,2}: a/3 ≤ x)

so a_1 = floor(3x), except if x=1, then a_1 = 2.

[gloomy knoll]

floor(3x)?, i thought that a_1 should be 0 if 0<=x<=1/3, 1 if 1/3<=x<=2/3 and 2 if 2/3<=x<=1..

because a_0 = 0

[vale wigeon]

yes, a_1 is 0 if 0 ≤ x < 1/3, 1 if 1/3 ≤ x < 2/3 and 2 if 2/3 ≤ x ≤ 1.

and floor(3x) accomplishes exactly this, except for x=1.

[gloomy knoll]

ah yes, didnt know the floor function..

yes i already calculated the first few parameters of the sequence

but i dont know how to make the induction step

the inequality is true for all i in N

[vale wigeon]

maybe it will be easier if you give the quantity $\sum_{j=1}^i a_j3^{-j}$ a name, such as $S_i$

[ocean seal]

Ann

[vale wigeon]

then you need to prove that $S_i + a_{i+1}/3^{i+1} \leq x \leq S_i + 1/3^i$

and $a_{i+1} = \max(a \in {0,1,2}: a/3^{i+1} + S_i \leq x)$

[ocean seal]

Ann

Ann

[gloomy knoll]

dont i have to know some more about x?

[vale wigeon]

dunno what you mean by "know some more"

[gloomy knoll]

ur right. i will try to do the induction step, give me some minutes c:

wait dont i have to proof that: $Si \leq x \leq S_i + 1/3^i$
and $a_{i+1} = \max(a \in {0,1,2}: a/3^{i+1} + S_i \leq x)$

[ocean seal]

Jυяαנ

[gloomy knoll]

<@&286206848099549185>

[lone heart]

@gloomy knoll Has your question been resolved?

[lone heart]

@gloomy knoll Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[past wave]

Simplify loga(1)-loga(a^b)

[past wave]

How tf do u simplify this apart from removing the log

1-(a^b)

[weary wyvern]

What's a^0?

[past wave]

one

But we can't prove that b=o

[weary wyvern]

Whats log_a(1)?

[past wave]

Not a clue

its just loga(1)