help-0

[night minnow]

oh wait the letter thing

wait 10=a

that thing right?

i forgot omg

[ocean seal]

omsai

[night minnow]

its supposed to be f isnt it?

[alpine sable]

what works?

[storm lava]

yeah it works

it uses k>9 whereas mine k>=10 basically simliar

[alpine sable]

same

I meant I am trying to get better at induction too

[storm lava]

i am trying not to forget it lel

cuz i had it 1.5 or 2 yrs ago

in 9th grade i suppose it was

[alpine sable]

is grade 10 considered high school

[storm lava]

dunno

[alpine sable]

for us it is in grade 11

[storm lava]

¯_(ツ)_/¯

[alpine sable]

I am in grade 10 tho

[storm lava]

i mean i am on my last year at school, 11th grade, so we have better things to learn like limits or derivatives

[alpine sable]

last grade is 12th here

proofs are everything

we have proofs but those proofs are like maniuplation, for example manipulating trig identities constantly.

[alpine sable]

You know what, I need to turn back time and enroll in your high school😅

[viral lagoon]

need sum help with this

a walk thru so I understand and I can do the others

[crisp grove]

what the actual fuck

[storm lava]

tf

[crisp grove]

<@&268886789983436800> maybe a good time to ping

[tame falcon]

Thanks

[storm lava]

nice

[sour umbra]

need hekp

[alpine sable]

do you know what per capita area means?

[sour umbra]

no

[alpine sable]

a web search engine might help you find that out

does 1111111 disprove 3x+1?

[crisp grove]

yes

congrats

[alpine sable]

why congrats

i wasnt the one that did that thing

i suggest reading wikipedias article about collatz conjecture

oh wait nvm

im dumb

me too

In uncertainties, there's usually a big "i" bar vertically then an "H" bar horizontally

what does the "H" bar respresnet?

represent

[turbid ferry]

Are these the correct volumes of revolution equations?

[hoary fiber]

Pls help
This is a question from differentiation

[zenith fulcrum]

What does it mean by for each student how many scores are below their median score

[crisp grove]

@hoary fiber infamous chain rule

[alpine sable]

why infamous? chain rule is really useful

[crisp grove]

basically whenever someone's stuck, the solution is almost always chain rule

[glass lichen]

No

Not at all true 🤨

[crisp grove]

not the 'chain rule' but the answer 'use chain rule' is infamous

[crisp grove]

was a joke don't take it seriously

[alpine sable]

im stuck step bro

[hoary fiber]

K thanks

[cobalt comet]

why when theres repetition it always 7 on the last

[raw shard]

@crisp grove lol you’re right, so many times someone asks how to get this derivative and i just say use chain rule lol

[crisp grove]

we need a sticker fr that

[alpine sable]

how to get derivative of x^x ?

[raw shard]

nope

i would definitely be for that being an emote lol

[crisp grove]

@alpine sable u asked for the meme or u really wanna know?

[alpine sable]

for the meme

cuz cant just apply chain rule directly

[crisp grove]

but indirectly we can

[raw shard]

ok stupid question but do you actually have to convert that to e^(xln(x)) to get the derivative?

probably yes but still asking

[crisp grove]

if u use bigbrain u can do it directly

$\dv{x^x}{x}=x\cdot x^{x-1} + x^x \ln{x} = x^x(1+\ln{x})$

[ocean seal]

Ryuzaki

[raw shard]

if you’re being serious then how

oh

wow that is big brain

[crisp grove]

[raw nexus]

how are you doing sweet prince?

[hoary fiber]

i need serious help with differentiation

[crisp grove]

stop calling me that

[raw shard]

which one

[raw nexus]

banter

[raw shard]

@crisp grove you were probably joking but that still looks like you need chain rule lol

@hoary fiber which question do you need help with?

[crisp grove]

wasn't joking then

[short peak]

how is this done ?

[sinful chasm]

https://i.imgur.com/ki7Zpr2.png
Is this question valid?

[alpine sable]

The lengths of the minor and major arcs of a circle are 5.2 cm and 19.8 cm respectively find The radius of the circle

[raw shard]

are you people even aware that people have already posted questions here

it’s like the rules don’t even exist sometimes

[leaden ocean]

Which part. a is certianly valid. c is valid. I think b is valid too. Do you have a more specific question

[sinful chasm]

How would I prove it though?? I tried using g(a) and g(b) but Im not getting it

[leaden ocean]

well this method is to show g(a) = g(b) if and only if a = b

So

$\frac{a}{1-a^2} = \frac{b}{1-b^2}$

[ocean seal]

matthew

[leaden ocean]

implies

a-ab^2 = b - ab^2

implies

a=b

therefore this is injective

but make sure you talk about the domain

-1, 1

[sinful chasm]

one sec

[crisp grove]

$a-ab^2=b-a^2b$ not $a-ab^2=b-ab^2$

[ocean seal]

Ryuzaki

[sinful chasm]

how do you get a=b from a-ab^2 = b-a^2b

[crisp grove]

@sinful chasm there are better ways of showing 1-1

[sinful chasm]

yeah im not being able to

I tried inverting, but that gives me a quadratic

and Im not sure how to solve it

[crisp grove]

if u can show that ||strictly monotone||

[sinful chasm]

which means increasing or decreasing

[crisp grove]

ya

[sinful chasm]

is it possible to show that without differentiating?

[crisp grove]

ig

but easier of u just diff

[hushed pasture]

i think that he shouldn't use calculus stuff

[hushed pasture]

this is clearly algebra

[sinful chasm]

we havent done differentiation in the course yet

[hushed pasture]

so stick with @leaden ocean stuff

[crisp grove]

a<b u can go from here

[sinful chasm]

i'll try that

Salah I tried the Matthew thing, but i couldnt understand it

i was getting a=-1/b

[hushed pasture]

that's also hard because the interval contains negative numbers, so squaring both sides isn't allowed till meeting some criterias

[hushed pasture]

the definition of injective function: $\forall a, b \in I: f(a) = f(b) \implies a = b$

[sinful chasm]

yep I know that

[ocean seal]

Salah

[hushed pasture]

then use it

[sinful chasm]

so I tried using g(a)=g(b),

i got the same that as matthew above

and then when you simplify it further

[hushed pasture]

ues so factorize it

[sinful chasm]

you dont get a=b, I got a=-1/b

[hushed pasture]

no you should get it

ill show you

$a-ab^2=b-a^2b \implies a-b -ab^2 + a^2b = 0 \ \implies (a-b)(1+ab) = 0$

[ocean seal]

Salah

[hushed pasture]

which means a=b or ab = -1

[sinful chasm]

OHH

omg

[hushed pasture]

but for $a = \frac{1}{2}: b = -2 \not\in ]-1,1[$ so we should stick only with a = b

[ocean seal]

Salah

[hushed pasture]

so that's finish the proof

[hushed pasture]

@sinful chasm understand this?

[sinful chasm]

Yes i got it

thank you so much

[edgy cape]

How do I do the purple thing

[sinful chasm]

you need to equate dy/dx to 0

to show the stationery points

[edgy cape]

thats it

just a regular stationary point quiestion

[alpine sable]

how do i solve this

i get 6y = 60y + 315

then i get stuck

-54y = 315 is a decimal

i don't understand how they go from 56 = 40y + 84 to getting y = -12/5 in the example

[buoyant edge]

Just so I'm following correctly, the equation they give is 5y = 40y + 84, not 56 = 40y + 84 as you wrote.

$5y = 40y + 84 \ -35y = 84 \ y = \frac{-84}{35} = \frac{-12}{5}$

[ocean seal]

Chris24

[clear apex]

I NEED HELP FOR (A) PEOPLE

[alpine sable]

if Sqrt(x^6) = X^3 How can I prove that backwards?

[alpine sable]

got it thank you

[brave urchin]

can some1 help me with this

i dont really get it is that the length of each side?

[fair cargo]

what is a shape like this called?

[buoyant edge]

@brave urchin No, those are lines which form the sides of the hexagon. To find the lengths of the sides, you'd have to see where each line interesects. It would help you a lot to graph them.

https://www.desmos.com/calculator <-- a good website for graphing

[brave urchin]

i see thanks

[buoyant edge]

@fair cargo Annulus

[fair cargo]

what about if its squished to look like an oval

so still has the hole in the center but is an oval

[buoyant edge]

Probably some type of ellipsoid.

No, they should have parentheses to denote the argument of the cosine but it's almost certainly cos(x) - 1

[brave urchin]

ok thanks @buoyant edge

[quaint mica]

someone pls help

import matplotlib.pyplot as plt
plt.figure(figsize=(10,8))
plt.title('Probability Mass Function')
plt.xlabel('x')
plt.ylabel('PMF')
plt.bar(list(PMF.keys(), list(PMF.values)))

doing Probability mass function with python

[remote lodge]

Does anyone know a simple and easy online graph maker?

A line graph

[warped snow]

Desmos.com?

Have you tried that?

Real easy

[remote lodge]

I haven't, I'll try it now

thanks

[warped snow]

Np

[remote lodge]

It's free right?

[warped snow]

Completely

[remote lodge]

Thanks god

[warped snow]

There’s no hidden fees either

[remote lava]

I have a value between -90 and +90, and I want to - using an exponential function, turn this into a number from -1 to +1. Is this possible?

[shy adder]

Can anyone help pls

[wet cove]

HOW do i find x

[fathom cosmos]

x=-32/3

[remote lodge]

Mannnn

you just gave him the answer

you didn't help him figure it out

[wet cove]

fake news

\

here r options

i want to know how

[fathom cosmos]

a

[wet cove]

HOW

TELL ME HOW

[fathom cosmos]

3*10+2= 32 from there it is 32/3

[glass lichen]

if you're not going to help, dont comment.

[remote lodge]

I'd help you, but i'm stupid

[glass lichen]

what have you tried?

[wet cove]

idk how to find it

'cuz i forgor 😭

[glass lichen]

so check your notes

[wet cove]

;

[remote lodge]

Solve for x by simplifying both sides of the equation, then isolating the variable.

[raw shard]

well you have something being added or subtracted on one side so get rid of that

[wet cove]

yea i know that

but

how much

[raw shard]

7

[glass lichen]

-7+7=0

[wet cove]

so +7 to -7

[glass lichen]

to both sides.

[wet cove]

and +7 to 1

[raw shard]

add 7 to both sides

[wet cove]

ye

[raw shard]

yes

now you have (-3/4)x = 8

[wet cove]

then flip the fraction

and divide

[raw shard]

you mean multiply by the reciprocal right?

the negative reciprocal in this case

[wet cove]

4/-3

?

[raw shard]

yes

so multiply both sides by that

[wet cove]

wait what

so 4x-3?

[raw shard]

multiply both sides by -4/3

it’s the flipped fraction and multiplying a negative by a negative, so you’ll just have x

[wet cove]

draw it please 😂

having a hard time understanding

[raw shard]

you have (-3/4)x = 8

[wet cove]

yes

[raw shard]

so multiply both sides by -4/3

[wet cove]

so

-4/3x8

[raw shard]

huh?

this will make one side only have x

idk how you got that

[wet cove]

is answer

-10 2/3

[raw shard]

-32/3

i assume when you said x there you were multiplying

[wet cove]

yea lol

[raw shard]

that was confusing considering the context

probably stick to *

but yeah that’s right

[wet cove]

👍

[wet cove]

then?

[raw shard]

x = -32/3

[wet cove]

must be one of these

[raw shard]

it’s the first one

[wet cove]

the one i have selected

?

[raw shard]

yeah

[wet cove]

thank you'

[raw shard]

no problem

[wet cove]

correct?

+17 both sides?

[low topaz]

Are there second anti derivatives like how there are second derivatives

[raw shard]

@wet cove yes

[wet cove]

after that

i add 2.3 tp 4.83?

[raw shard]

no

you multiply by -1/2.3

to isolate x

[vernal quarry]

69

[wet cove]

where did you get the -1 from

[raw shard]

x is being multiplied by a negative, so you have to multiply it by another negative to make it positive

[low topaz]

70

[wet cove]

so -1/2.3 * -4.83

answer is 2.1

[raw shard]

yes

[wet cove]

thank you

[raw shard]

wait what

how did you even get 2.1 from that

[wet cove]

calculator says so

[raw shard]

oh i see i think

ok

[west vine]

Lol

Calculator

[wet cove]

this is right?

[wary stream]

So far so good

[wet cove]

-1/5

[wary stream]

No

[wet cove]

x15

[wary stream]

Not negative

[wet cove]

= -3

oh?

[wary stream]

Divide by the coefficient value

[wet cove]

which means?

(I'm sorry all my studdies are in arabic)

😂

[wary stream]

The number is positive, divide by positive 5

[wet cove]

ahh okay

so 1/5x15

[wary stream]

If it was negative, you divide by negative value

[wary stream]

Yes

[wet cove]

3

thank you

[wary stream]

To check your work, plug that value back in

And see if the left side equals right side

[wet cove]

yea i got 100% 😎

[vernal quarry]

42

[wet cove]

my workouts are correct I'm hoping?

yep they are 😎

thank you @wary stream and @raw shard

[light sleet]

Quick question...

[gray heart]

is it x?

[low topaz]

10^6

[light sleet]

I dont know myself D:

[raw shard]

@light sleet you know what horizontal and vertical is right?

[light sleet]

Yeah, I do

[gray heart]

it is x confirmed

[raw shard]

really

if they don’t know how to do it the information is kinda useless

[light sleet]

Yes, wait-

[raw shard]

i was talking to @gray heart

[light sleet]

sorry when it came to letters it was confusing

[raw shard]

ok so draw a horizontal and vertical line

through the middle of x

[gray heart]

it says so

[raw shard]

i was saying don’t tell them answers without helping @gray heart

i obviously believe that it’s x

[gray heart]

oh

well if you fold x in half horizontally you’ll get >, and if you fold x in half vertically you’ll get v

this is my help

[raw shard]

my explanation would be better if i did it visually

although they don’t even seem to be here anymore

so whatever

[ashen blade]

hey, does anybody know how to do this?

https://i.imgur.com/UzfUzQj.png

I tried turning it into lim x->(pi/2)+ of (e^(1/cos(x))

cos(pi/2) is 0

so I thought e^(1/0) as x->(pi/2)+ would just be infinity

but the answer is 0 idk

[alpine nacelle]

cos is negative when you're coming from pi/2+

so it's e^-inf -> 0

[alpine sable]

Hey guys

Could you help me? 😄

[raw shard]

depends what it is

either way post a question

[alpine sable]

Odd or even function

I dont know if I did it properly

[raw shard]

we don’t know the function

[alpine sable]

Who do?

[glass lichen]

You... cause it's your question

[raw shard]

i have no clue what you want lol

you asked a question and didn’t give any information

[ashen blade]

thank you

I thought it approached 0 and tried to evaluate a indeterminate value

had to think of it in terms of 1/-0.000000000001 etc

[alpine sable]

z=5x sin 3x, I need to check if this function is even or odd

[rough plinth]

Even

Just plug in -x and you should always get back z

In case you didn't know, sin(-x) = -sin(x)

[alpine sable]

Won't it be -5x?

Werido

[alpine sable]

Could you please write it step by step?

[cobalt lichen]

can someone help?

[glass lichen]

let it equal L then consider ln(L)

[wet cove]

i forgor the next step

[glass lichen]

-13-13 isnt 0

[raw shard]

you were supposed to add 13

[wet cove]

ohh

[cobalt lichen]

i am not getting it. Can you explain a little bit more?

[wet cove]

whats next

[raw shard]

bruh

[rough plinth]

The 13 on the lhs is wrong

[glass lichen]

$\ln(L)=\lim_{n\to\infty}[n\ln(1-\frac{1}{n})]$

[ocean seal]

Mosh

[wet cove]

2

[glass lichen]

and you can subsequently show that ln(L) is a derivative evaluated at 1, then L=e^(that number)

[cobalt lichen]

ok, now i get it.Thanks

[small bear]

Another way is using the well known limit of lim (n->inf/-inf) (1+1/n)^n = e

[glass lichen]

that too, but better to go through the logic of why limits of this form has those types of answers

[rich ginkgo]

is that ok for A

and this is B

[rough plinth]

More like this

For a

Let me draw it more clearly

[rich ginkgo]

ty

[oblique topaz]

hi i have aquestion

im new to this seerver and i wanna know how to find out the rate of change

can someone go into a vc and help me?

[rough plinth]

@rich ginkgo think you switched them around

[past trout]

The answer is X. If you cut the x in half both ways it is still parallel

[rich ginkgo]

oh yea

i did

[light sleet]

Dw i got it already

[rich ginkgo]

i sent them in wrong order my bad

but do they look ok

Thanks for the help btw

[past trout]

Ah sorry bro :-(

[light sleet]

Nah you're good!

[rough plinth]

Yeah seems alright

[past trout]

[rough plinth]

Post them here?

[wicked condor]

Hi everyone. I'm trying to solve an equation with an online tool https://www.alpertron.com.ar/DILOG.HTM. I know FLAG03. I think I need to remove mod p from the left side. I don't know how to do this. Could anyone help?

[wicked condor]

<@&286206848099549185>

That's ok, no problem

[winter rock]

@wicked condor yo bro

Waiting that someone come to help u

Could u help me?

It's some basis 11th grade

[jovial trellis]

How tall is the table?

[fair cargo]

what is the oval version of annular?

[royal meadow]

let the height of the cat be c and the height of the mouse be m; let the height of the table be t

try and make two simultaneous equations

[wind hare]

help:))

[alpine sable]

when you're trying to calculate the force of the top bit yeh

do u do R+28cos30 = 5g or R+028sin30 = 5g and how tf do u know which stupid soh cah toa thingie to use

[celest flower]

Soak.

A.

Toe.

[rough plinth]

Has the solution been confirmed to be 1/e?

[rough plinth]

The latter

[alpine sable]

i c ty but what r u basing it off of to know that
ngl cant remember basic trig at this point

[rough plinth]

Sin(w) = opp/hyp

Cos(w) = adjacent/hyp

This diagram should clear it up

[alpine sable]

hi how would I work out the original amount after 3 years compound interest?

[alpine sable]

ah ty makes more sense appreciated tyty

[rough plinth]

Yearly?

[alpine sable]

so the question is

[alpine sable]

Katie has £1000 after 3 years compound interest at 3%. How much money did she have originally?

Would I do 1000/1.03^3

[rough plinth]

Yup, that's it

[alpine sable]

thank!

[crude hamlet]

Anyone wanna help me with this?

[remote heron]

how far are you able to get?

[crude hamlet]

i know how to find the highest point of the ball but i don't know what to do from there ;-;

[pliant verge]

How can I flip the decimal like this using an algebraic equation:
0.1 <-> 1.0
0.123123 <-> 123123.0

[rough plinth]

Multiply by powers of 10?

What are you looking for specifically?

[alpine sable]

If q are the no. of digits after the decimal and p are the no. of digits before the decimal multiply by 10^(q-p)

[rough plinth]

^ what they said

[rough plinth]

Do you know those 3 equations for linear motion?

[tepid edge]

i have (x-6)/-|x-6|

can i cancel it out and get -1?

[rough plinth]

No

[thorn vortex]

No

[rough plinth]

depends on the value of x

[alpine sable]

if x> 6 then yes

[tepid edge]

6, both would be 0 if plugged in

doing this for a limit question

[pliant verge]

Lol now how can I get q without using my head

[alpine sable]

well you never told what information you've got

[pliant verge]

the dec. number I'm inserting in the first place to flip

For example 0.8 in your equation would be 0.8 * 10^(1)

I'm trying to figure out how I can still get that 1 but without using my head to count the amount of digits behind the decimal, and only using the original 0.8

[alpine sable]

are you asking this for a code in java or python ?

[pliant verge]

Neither

Though it would be so much easier to code this equation, I want to try this with pure math

Basically, I need a function that can get the amount of digits after the decimal in x. x will never be ≥ 1.

[alpine sable]

Ah call it digit bruh

[alpine sable]

do you know about pure math
because you keep saying "equation" instead of a function

[pliant verge]

You get the idea

[rough plinth]

So a pseudocode?

[pliant verge]

there I edited it

[vast marsh]

Ik it’s easy I just need a refresher

How would I do it with the (2x-2)?

[glass lichen]

x=2x-2

cause log(a)=log(b) iff a=b

[vast marsh]

Wait what

I hate marh beuh

Math

My teacher blows this year

So I would just take away the parentheses?

[glass lichen]

no

you wouldn't "just do that"

if you have 2 logs with the same base and they're equal, then their arguments must be equal

[alpine sable]

it's a function
not mere brackets

[vast marsh]

It’s one log tho

I don’t get this

[lapis goblet]

hello

For this one Ik the graph looks like a cone
But it’s asking how the word “slope” plays a role in determine that
Which I don’t get
Equations is g(x,y) = sqrt((x+1)^2 +((y-3)^2)
Point P(-1,3)

g(x,y) is defined as the distance from P to some point (x,y)

[dusky igloo]

10^X=0.125 how do I isolate X?

[lapis goblet]

you would take the log of both sides

@dusky igloo

one of the properties of logs is the power rule

i think you should be able to isolate x from there

[dusky igloo]

alright thanks

[quartz sage]

How to find the mean in dot plot

[rough plinth]

add up the frequencies of all the values and divide the sum by the total number of values

[lapis goblet]

<@&286206848099549185>

Ping me pls ty

[ancient saddle]

Hello, maybe you have to see the cone as a triangle

I mean, if you see it from a side, it looks like a triangle

[lapis goblet]

Hm

How would I explain the slope part tho

[lapis goblet]

All I can really get from this graph is that it’s a positive slope

Meaning the cone would have only positive z values

[ancient saddle]

if you consider only the X direction and fix y=2, you will see this upside down triangle

Those are straight lines

So the slope should be constant in the x direction

you can verify that using the level curves

[sterile thistle]

how do you calculate the volume of any shape

[rough plinth]

integrate

[lapis goblet]

You could take the triple integral

[rough plinth]

I don't get what your question is

[lapis goblet]

1 sec

[rough plinth]

What is the slope determining according to the question?

[lapis goblet]

Part 2. C

And I’mconfused on d

[upbeat basin]

I am in AP calc and I am very confused how that step is simplified for the 3rd step

[ancient saddle]

So you found that the level curves are circles, right? They are circles centred at (-1, 3). If you see the cone from a side, you will see a triangle upside down. Notice that the "radius of the cone" at each height (z) make a straight line. This means that dz/dx should be constant if you start from the centre, which you can verify with the level curves

[rough plinth]

*dz/dr

[ancient saddle]

yes, which in the level curves graph is dz/dx when you start from the centre

[rough plinth]

From what I understand, since the contour lines are equidistant concentric circles, you can conclude that the slope (dz/dr) is constant

[ancient saddle]

oh I see, that's much clearer

[rough plinth]

As for D, it seems to be continuous

[lapis goblet]

Ah I understand

Ty for the explanation

[rough plinth]

Np

[paper holly]

can someone help with this?

[rough plinth]

Hence, the shape being an inverted cone with its tip located at P. Now it's complete

-4 and 0

You got them as wrong?

[paper holly]

yup

[rough plinth]

The boundary points, perhaps?

[latent vapor]

try 0,-4 if -4,0 didn't work

[rough plinth]

oops

2 too

[paper holly]

why 2?

[paper holly]

that won't make a difference

[rough plinth]

did it work?

[paper holly]

i haven't tried yet. why 2. i dont have infinite trys yk

[latent vapor]

Then it's possible x=2 might also be an answer as @rough plinth said but its not guanteed

[rough plinth]

Cause what's the slope at 2?

[paper holly]

oh

[rough plinth]

undefined, that's what.

[paper holly]

yup that worked!

[rough plinth]

lol

[paper holly]

thankss

[split trail]

solve by graphing

pls help

<@&286206848099549185>

[rough plinth]

23/25

[split trail]

how the hell did you find that so fast?

[rough plinth]

Not your ans

[split trail]

oh

[rough plinth]

As for you

differentiate the expression first

[split trail]

can you just tell me the vertex form

i got it to factored form

[rough plinth]

Show me

[split trail]

the factored form is -(x+7) (x+2)

is this right?

[rough plinth]

Yup

[split trail]

how do you turn it into vertex?

[rough plinth]

Actually

No

[split trail]

wdym?

[rough plinth]

The factors are not correct

[split trail]

what did you get

[rough plinth]

Where's the -10?

[split trail]

no on the graph part my teacher told me to graph the thing by it self

like this

this ain't the answer

[rough plinth]

What is this?

[split trail]

this is how you graph it

its for different problem

they want us to do it like this

and find the x intercept

the 10 would be the 0 in this question

[rough plinth]

Look

First, multiply the whole thing by -1

[split trail]

okay

[rough plinth]

x^2 + 5x + 14 = 10

[split trail]

yea

[rough plinth]

x^2 + 5x + 4 = 0

k?

[split trail]

k

[rough plinth]

(x + 1)(x + 4) = 0

Any questions?

You there?

[late parcel]

I have a question, is this open

[rough plinth]

Go ahead

[late parcel]

It’s B bit I can’t figure out why

[rough plinth]

B

[late parcel]

But why/ how

[rough plinth]

cause even functions are symmetrical about a certain point

in this case 0

You know what an even function is, right?

[late parcel]

Where do u get the 0

And no I do not know what an even function is

Is that like x^2

[rough plinth]

Irrelevant/undeterminable

[late parcel]

?

Denominator of 0?

[rough plinth]

that's a slash

in other words, idk

and it doesn't matter

[late parcel]

Ok

K

[rough plinth]

listen closely

[late parcel]

Listening

[rough plinth]

f(x) = f(-x)

That's the mathematical definition for an even function about x = 0

[late parcel]

Ok

[rough plinth]

In other words, the y values of the points with equal magnitude distance away from the y axis is the same

[late parcel]

Oh ok

[rough plinth]

See how the function is symmetrical?

[late parcel]

Ya

[rough plinth]

so if f(-4) = 3 then f(4) = 3

That's an even function

So if f(a) = 7

then what is f(-a)?

[late parcel]

7

[rough plinth]

Perfect

[late parcel]

Thanks

[low topaz]

What is addition

[late parcel]

I think I got it

[rough plinth]

So if f(a) is a maxima, then f(-a) is also a maxima

[late parcel]

Gotcha

Thanks for the help

And I’m guessing odd functions are vice versu

[rough plinth]

f(x) = -f(-x)

One side (left side of the y axis) has inverted (times -1) values of the other side

[late parcel]

Gotcha

[rough plinth]

cos(x) is a classic even func

sin(x) is odd

[rough plinth]

Depends. What are you adding?

[low topaz]

An integer and an integer

[merry bronze]

The density of ethyl alcohol is 0.79 g/mL. What is the mass of 340 mL ethyl alcohol in kilograms? Do a 2-step conversion.

[rough plinth]

(0.79)(340)/1000

[merry bronze]

How did you get the 1000?

[rough plinth]

g to kg

1 g = 1/1000 kg

0.79 * 340 was originally in grams

[merry bronze]

Do a 2 step conversion said in a question

How can I do a Solution for that?

[fresh quail]

can i ask question

[raw shard]

in a different channel yes @fresh quail

this channel seems to be occupied

[dry echo]

Can someone help me find my mistake?

Here's my work (ignore the random 2y in the top right)

[rough plinth]

You forgot your y^2 on the 3rd line

The 1st term

[alpine sable]

You have a gift card worth $90. You want to buy several movies that cost $12 each. How do you write and solve an inequality that represents the number of movies you can buy and still have at least $30 on the gift card?

can someone please help me write the inequality!!

[dry echo]

AHH! Thank you!

[alpine sable]

12m≤ (90−30)

im thinking its that

[tall bluff]

can someone help

[alpine sable]

killing myself

[tall bluff]

7x + 5y = 9
-2x + y = -5

[rough plinth]

Looks alright

[late parcel]

For number 11 why am I getting the wrong local max

[alpine sable]

whats the inequality doe

[late parcel]

The book says (1/2, 2+ln2)

It’s number 11 on that first picture

[bold panther]

use substitution or elimination method

[late parcel]

Elimination is way easier

Is this channel open now?

[rough plinth]

Where are you having the problem?

The function just has a minima

[late parcel]

My ln has a 1/2 and the book has an answer with the ln having a 2

For the local max

[rough plinth]

You just wrote it down!

m <= 5

[alpine sable]

is that right

[merry bronze]

Can I ask here?

[rough plinth]

Yeah, that is an inequality. See that <= sign?

[rough plinth]

Go ahead

[merry bronze]

Correct me if I'm wrong🙂

[late parcel]

I had a question down

[alpine sable]

is the inequality right

[rough plinth]

Yes

[alpine sable]

r u

100% sure

[rough plinth]

yes

[alpine sable]

okay

thank u

so much

[rough plinth]

np

[merry bronze]

Is this correct?

[alpine sable]

@rough plinth can we talk

in dms?

[rough plinth]

I think you mean millitres instead of micro judging from the other units

also, there's a mistake

1 ml = 1/1000 litres

not 1/100000

ml is millilitres

not microlitres

[alpine sable]

i have to find the derivative using chain rule

[raw shard]

what exactly is confusing you?

[alpine sable]

ok so i did eveyrthing but i got confused with the exponents

[late parcel]

Make it (x) ^1/3

[alpine sable]

and idk if its right

[late parcel]

Post answer and I’ll check

Then I have a question

[alpine sable]

okk

[merry bronze]

The question is Give the two conversion factors you can construct using each pair of units.

Meters and Kilometers
Liters and Microliters
Seconds and Milliseconds

[alpine sable]

C)

[late parcel]

1/3-1 is -2/3

[alpine sable]

oh

Is that the only mistake

[late parcel]

Ya

And my teacher has us simplify by getting ride of the negative exponent

[alpine sable]

ok but if I have -2/3

[late parcel]

Can someone walk me through 9

@alpine sable what about it

[alpine sable]

How do I simplify it in the denominator

[buoyant kayak]

switch x and y, differentiate, plug in 2

[late parcel]

Atlas it becomes everything under the expo end goes down below

@buoyant kayak I’m really confused

[raw shard]

@buoyant kayak i’m assuming you mean implicit differentiation, because that function looks difficult to inverse

[late parcel]

I think I need a complete walk through

[buoyant kayak]

yes, differentiate implicitly

so you have a function $f(x)=x^3+x$

[ocean seal]

a disappointing son

[buoyant kayak]

replace f(x) with y, $y=x^3+x$. To find it's inverse, switch x and y
$x=y^3+y$

[ocean seal]

a disappointing son

[buoyant kayak]

now differentiate

[late parcel]

Is that with implicit

[buoyant kayak]

yes

[raw shard]

yes

[hoary fiber]

Sorry
Very late reply
Need help with all

[raw shard]

bruh what the heck

9 and a half hours later

also sorry i can’t help with all of those

[late parcel]

I got this

[raw shard]

@buoyant kayak wait i think even i’m confused, dy/dx will only be defined in terms of y

so do you plug in 2 for y?

since there’s no x?

[late parcel]

Oh plug in 1

[raw shard]

i thought you wanted g’(2)

wait what

[buoyant kayak]

it gives you g(2)=1

[raw shard]

oh lol

[late parcel]

So plug in 1

To get 1/4

[buoyant kayak]

(2,1) is a point on this graph

[late parcel]

Can you help me with 7 also

[buoyant kayak]

so same thing

$y=x^2$, switch x and y, $x=y^2$, solve for y and differentiate

[ocean seal]

a disappointing son

[buoyant kayak]

this one you don't need to differentiate implicitly because you can explicitly solve for y

[late parcel]

Y=square root of x

[alpine sable]

What did I do wrong here

my teacher got -8(x-4) instead of -4(2x-8)

[bold panther]

thats same thing

[buoyant kayak]

those are equivalent

[alpine sable]

ohh

[buoyant kayak]

yes, differentiate and plug in your value

[late parcel]

What am I doing wrong

It should be 1/10

[buoyant kayak]

you're plugging in 25 for y'

er g' rather

you're trying to find g'(25)

that doesn't mean g'=25

[late parcel]

Still wrong

How can you not use implicit differation

[split fog]

Can u guys help me with math

If I need it

I'm in honors math

But not very smart

[late parcel]

@buoyant kayak how am I wrong

I am honestly so confused how you can not use implicit differation

[buoyant kayak]

you can

but it's 20000x easier to not

$x=y^2$, solve for y...
$y=\sqrt{x}$

[ocean seal]

a disappointing son

[late parcel]

Well then why am I getting the wrong answer

Ok so then what

Plug in 25

[buoyant kayak]

no

take the derivative

$y=\sqrt{x}$ is just the inverse function

[ocean seal]

a disappointing son

[buoyant kayak]

you still need to differentiate that before you can plug in your point

[late parcel]

Where did I go wrong with implicit

Oh I see

[buoyant kayak]

see the division error?

[late parcel]

Wait no

That would be 1/50

Not 1/10

[buoyant kayak]

no idea why that doesn't work

just solve it like a normal function

[buoyant kayak]

.

oh wait lmao

it doesn't work because you're plugging in an x value for y

[late parcel]

What

[buoyant kayak]

your question gives you g'(25)

you have no y value to plug in

[late parcel]

But I lost the x when I took the derivative

[rough plinth]

What's the question this time?

[buoyant kayak]

which is why you don't differentiate implicitly

just differentiate $y=\sqrt{x}$

[ocean seal]

a disappointing son

[buoyant kayak]

if you differentiate implicitly, you get your answer in terms of y, and you don't have a y to plug in

you only have an x

[late parcel]

Still not giving me 1/10

[buoyant kayak]

what is your derivative

[buoyant kayak]

you need to take the derivative

[late parcel]

Oh I forgot

Got it

Last question of the night

Why does my teacher get 1/4 for number 5

I get 4

Am I wrong?

[buoyant kayak]

yes

[late parcel]

How

[buoyant kayak]

why do you have 4x^-3

[late parcel]

Oh ya I see

[pliant verge]

I need a function that can get the amount of digits after the decimal in x. x will never be ≥ 1.

[buoyant kayak]

like... a program?

or a mathematical function

[rough plinth]

not quite

a = 42, -1

How did you come up with those numbers?

For a matrix to be non-invertible the determinant has to be equal to 0

that is

(a - 6)(a + 7) - 42a = 0

Solve this to get the above 2 solutions

yeah np

[rough plinth]

Is that the whole thing?

Nothing mentioning how T1 and T2 specifically work?

Weird

[naive glen]

Could someone explain to me the meaning of these columns? I am completely lost here

[rough plinth]

Alright, we can try something

[buoyant edge]

@naive glen The columns of the A matrix are the vectors to which the basis vectors of R^n are mapped by T.

[naive glen]

so if we were in R^3, the columns would be the basis vectors (1,0,0), (0,1,0) and (0,0,1)?

[buoyant edge]

Only if your transformation is the identity transformation

Your columns are what your basis vectors are mapped to, so they're going to change unless it's an identity transformation.

Does that make sense @naive glen ?

[naive glen]

I think so, my issue with trying to comprehend this theorem is that I do not really have a clear understanding of what a vector basis actually is

[buoyant edge]

A basis is a set of linearly independent vectors whose span is the entire vector space.

[uncut lodge]

How do I solve this?

[raw shard]

@uncut lodge go to a different channel, this one is in use

[wise hound]

Reflection under x=1????

[buoyant edge]

and just for clarity, "linearly independent" means that you cannot form any of the vectors in the basis as linear combinations of the others

[wise hound]

Does Anyone know this?

[buoyant edge]

Channel's in use.

[wise hound]

o

[naive glen]

correct, this refers to when adding them, the only 0 solution is when the constants all equal 0

[buoyant edge]

Yes.

[uncut lodge]

Okok

[naive glen]

okay thank you for your help

[buoyant edge]

Np.

[mighty tiger]

anyone have how I can write a generic matrix and a matrix multiplication with summations? I'm looking through google but can't quite find what I'm looking for

[rigid wind]

$\mathbf{A} \in \mathbb{R}^{m \times n}$ ?

[ocean seal]

Vee

[fierce frigate]

How do i find the perimeter? it sys its 431. 8938 but how do i get it??

[alpine sable]

are you looking for the perimeter of the square excluding the circle?

$$\lim_{h\to0}\frac{x^{h+h}-x^h}{h}$$

[ocean seal]

Seven Two Eight Four

[alpine sable]

Ping me please.

[rigid wind]

derivative of x^x

i think

[alpine sable]

I think they want area of yellow region.

[alpine sable]

Derivative of x^dx actually lol.

[rigid wind]

actually nvm

[alpine sable]

I MEANT THE AREA MB

,w lim h to 0 (x^(2h)-x^h)/h

[ocean seal]

Results provided by WolframAlpha

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

Requested by Seven Two Eight Four#7284

[raw shard]

@alpine sable ok so see how you have 2 halves of a circle?

[alpine sable]

@rigid wind any idea?

[rigid wind]

nope

[raw shard]

you can calculate the area of the circle made from those 2 pieces and the area of the square, and then subtract the area of the square from the area of the circle

[alpine sable]

i believe you tagged the wrong person!

[raw shard]

oh lol oops

@fierce frigate read what i just said if you meant area

[alpine sable]

yeah i was gonna explain that but then they said perimeter so i was confused too

[raw shard]

perimeter can’t be right

[alpine sable]

@raw shard Can you take a look at my problem as well?

[raw shard]

depends what it is

[alpine sable]

This.

https://media.discordapp.net/attachments/490557019623915520/895150995288494130/880088237627031563.png

,w lim h to 0 (x^(h+h)-x^h)/h

[ocean seal]

Results provided by WolframAlpha

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

Requested by Seven Two Eight Four#7284

[alpine sable]

I don't believe Wolfram much though.

@raw shard

[raw shard]

yeah idk how to do that

also why don’t you believe wolfram?

[alpine sable]

1 minute.

[rough plinth]

bruh

[vague pecan]

i think you need to use l’hopitals rule

[alpine sable]

https://cdn.discordapp.com/attachments/860810470427852820/886313713735434260/wolf.png

@raw shard

[rough plinth]

just factor the numerator

[alpine sable]

My experience with WolframAlpha being high on meth.

[raw shard]

@alpine sable why are there 3 equal signs there lol

[rough plinth]

You know the limit formula for (a^x - 1)/x when x -> 0?

[raw shard]

for all i know 3 equal signs could mean something else

[alpine sable]

That is an operator usually used in computer science to check whether left side of the equation is equal to or not the right side of the equation.

[rough plinth]

I have verified this and it's correct

[raw shard]

oh

[haughty falcon]

One message removed from a suspended account.

One message removed from a suspended account.

[raw shard]

@rough plinth can you explain your process?

[rough plinth]

Sure

[haughty falcon]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[ocean seal]

HenHen

[haughty falcon]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[buoyant kayak]

you distribute the negative throughout the term

think of it as a -1 coefficient

[haughty falcon]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[buoyant kayak]

yes 👍

[haughty falcon]

One message removed from a suspended account.

One message removed from a suspended account.

[raw shard]

@rough plinth bruh

that’s a lot more than i thought it would be lol

[rough plinth]

Basics basics

[raw shard]

cool to see a proof either way though

i haven’t gotten to taylor series yet though

[haughty falcon]

One message removed from a suspended account.

[rough plinth]

@raw shard that's why I asked this first

[raw shard]

oh lol

i kinda know what they are but not for that

[rough plinth]

L'hopital is another hack

[alpine sable]

Had to quickly derive it. I didn't know about it. Thank you so much!

[buoyant kayak]

👍

[rough plinth]

My bad.

[raw shard]

nah it’s fine i know what they are kinda

seems cool

[haughty falcon]

One message removed from a suspended account.

[wise hound]

Reflection under x=1????

[raw shard]

just don’t know much about them

[rough plinth]

Perhaps you can explain @quantum now

[wise hound]

.

[raw shard]

@wise hound channel is occupied

oddly enough it’s occupied by 2 people and no one is saying anything lol

[wise hound]

plz tell me just one thing

today ks my exam

*is

Reflection under x=1????

[raw shard]

not enough information i don’t think

[wise hound]

wait

[buoyant kayak]

no need to guess. $-(-9j+2)=(-1\times -9j) + (-1\times 2)=9j-2$

[ocean seal]

a disappointing son