help-0

[raw shard]

@eternal osprey it’s not that hard, it’s just a few chain rules

[devout summit]

I just took 3/4 inside the bracket

[eternal osprey]

will it be better to ln both sides first hto[

and derive implicitly

[fresh parcel]

i mean

if it was me

id probably just use repeated chain rules

[raw shard]

it doesn’t really matter

same @fresh parcel

[sour dove]

this.

[raw shard]

log differentiation is useful but i never use it lol

[fresh parcel]

lol

[alpine sable]

Is this regular convex or irregular convex?

[raw shard]

pacman

[buoyant kayak]

a beauty

[fierce turtle]

lol

[raw shard]

amazing

[devout summit]

So, finally you should end up with \ $\frac{1}{3}\sin^{-1}\left(\frac{3}{4}\left(x-\frac{2}{3}\right)\right)+C$

[ocean seal]

Euclid31415

[hybrid plume]

Some kind of identity?

[fierce turtle]

how do the fancy thing

[hybrid plume]

Euclid u know?

[raw shard]

i guess it’s just a reciprocal

[devout summit]

Its just another trig substitution but x=atan(u)

[hybrid plume]

u is?

[devout summit]

Another variable

[raw shard]

tanx = u

interesting how stuff like that actually works

[devout summit]

Its just latex

[fierce turtle]

o

[devout summit]

But this is so widely used, we consider it one of the "standard" forms

[vagrant fractal]

How do I solve this?

[fresh parcel]

is a a constant

[flint badger]

wheres the +c

😡 😡

[carmine lion]

hey guys

https://cdn.discordapp.com/attachments/268882317391429632/898021489025122315/image0.png

[flint badger]

I mean not really by the way, just looks like sub

[carmine lion]

i just wanted to know where this proof is wrong

[raw shard]

@carmine lion sqrt(x^2) is absolute value

[flint badger]

$:\sqrt{\left(4-\frac{9}{2}\right)^2}+\frac{9}{2}$ evaluate this

[ocean seal]

eggdog

[raw shard]

it’s not equal to x

[carmine lion]

ah

ok

[lapis goblet]

I like you pfp 👌

[flint badger]

Thanks G

[carmine lion]

ty mate

[raw shard]

sqrt((4-4.5)^2) = 0.5, not -0.5

[flint badger]

Yep

[raw shard]

basically what i just said lol

[carmine lion]

so

$\sqrt{x^2} = |x| \neq x$

this right?

[ocean seal]

abe

[raw shard]

yeah

[flint badger]

exactly

[carmine lion]

aight just confirming

cheers

👍

[flint badger]

because of:

[fresh parcel]

if x = 5 the root could be both -5 and 5

[flint badger]

$\left|x\right|=-x\quad :\quad x\le :0$

[ocean seal]

eggdog

[raw shard]

probably actually x<0

[flint badger]

true yea

[karmic quail]

nvm

[raw shard]

absolute value of -4 = -(-4)

lol

when i saw that i got confused too

[karmic quail]

it gave the condition looks like

[fresh parcel]

-x isnt always negative

if x is negative then -x is positive

so yeah

[karmic quail]

if x>0 , |x| =x?

[flint badger]

yea

[flint badger]

or well I guess if you said this

you would have to include 0

[raw shard]

yeah

[flint badger]

but that brings up a debate about whether 0 is positive or negative

[raw shard]

absolute value of 0 is 0 though

[flint badger]

and I would just say neithe

r

[raw shard]

it’s neither

yeah

[fresh parcel]

-0 moment

[flint badger]

[raw shard]

just look at lim x->0 1/x

good example i guess

[flint badger]

yeah

[fresh parcel]

mhm

[devout summit]

Does not exist

[restive echo]

is this channel free

[warm brook]

no it requires a monthly subscription charge

what’s your question

[restive echo]

[flint badger]

new to discord hm

[raw shard]

my gosh

[restive echo]

I'm not sure why this is true

[fresh parcel]

is this a matrix

[restive echo]

no

It's a binomial coefficient

[fresh parcel]

oh

crap im dumb

[restive echo]

I feel dumb

[raw shard]

lol

matrix

[devout summit]

Bro it is kinda trivial

[restive echo]

ok

[warm brook]

then help the dude don’t condescend wtf

[devout summit]

What do you get if you put r+1 in place of i inLHS?

[restive echo]

Well it looks like they replaced I with r + 1

[devout summit]

Ye

[restive echo]

Ya I get that part but I'm just not sure why

oh wait

[fresh parcel]

oh yeah

[restive echo]

is it because they increase the upper limit of the summation

by one

So you need to add that one extra term

[fresh parcel]

they increase the upper limit of the summation so you need to add when its equal to r+1

that was confusing

set i to r+1

[restive echo]

ok ya that makes sense idk why I didn't get that

[devout summit]

Its just in this format. \$\sum_{i=0}^{k+1} a_i=\sum_{i=0}^k a_i +a_{k+1}$

[ocean seal]

Euclid31415

[restive echo]

was staring at it for like 10 minutes

right right

one more q: I'm kinda bad at this summation stuff

if I had a sum from I = 0 to n

if there's a n in the summation

can I just take it out

[fresh parcel]

what

wdym take it out

[restive echo]

Take it out of the summation

[devout summit]

Yeah if its in some removable state like multiplication

[fresh parcel]

like make it sigma(i=0, n-1) + n?

[restive echo]

n * sigma (I = 0, n)

this is unrelated to my first q btw

[violet canopy]

could i get some help with this please

[devout summit]

$\sum_{i=0}^n n\cdot a_i=n\sum_{i=0}^{n}a_i$

[ocean seal]

Euclid31415

[restive echo]

oh that's fine

℉

?

[fresh parcel]

oh thats what you meant

[restive echo]

thought you couldn't do it if it wasn't a constant

[fresh parcel]

distribute

[fresh parcel]

but n is a constant

[glass lichen]

you can pull out anything constant wrt the summation index

[fresh parcel]

i isn't a constant though

n remains fixed

[glass lichen]

$\sum_{i=1}^n f(n)g(i)=f(n)\sum_{i=1}^ng(i)$

[ocean seal]

Mosh

[violet canopy]

yeah

kinda forgot how to do that

ngl

[restive echo]

Oh

ok thanks @devout summit @fresh parcel @glass lichen

[fresh parcel]

:)

[alpine sable]

if m = 5; (6, -1)
then it'd be (7, 4)(6, -1) right?
so m = 3/5; (2, -4)
would (7, -1)(2, -4) be correct?

[fresh parcel]

is it a matrix

oh wait

nevermind

[raw shard]

bruh

[fresh parcel]

but whats the question

[raw shard]

again

[fresh parcel]

i saw 2 numbers inside a bracket

[alpine sable]

oh wait

using slope and a point

i'm sorry for the lack of context :(

[glass lichen]

that still isnt a question

what are the entire instructions

[alpine sable]

oh

i'm told to graph using a slope and a point but idk what the slope's point is

[glass lichen]

...

[fresh parcel]

a point?

[glass lichen]

slope point means the line has some slope and goes through this point

a point doesnt have a slope

empathsis on the singularity of point

[alpine sable]

uwjsushsshwhwwv i'm bad at math terminology sorry

ok let me rephrase that

[fresh parcel]

you mean the x and y intercepts right?

[glass lichen]

"point slope formula" is $y-y_1=m(x-x_1)$ for slope m and point $(x_0,y_0)$

[ocean seal]

Mosh

[alpine sable]

I'm told to map two points on a graph using a slope and a point. But i'm given only one point and a slope

[alpine sable]

i believe so

Oh lwt me try that out

i don't get it

[fresh parcel]

remember, slope just means how many y units it goes up for every x it goes right

[alpine sable]

...kinda like this?

pardons for the blurry pic

[fresh parcel]

mhm so draw a line between the two lines

and you've successfully graphed it

[alpine sable]

so the points i got here are correcg right?

[fresh parcel]

the format for a point is (x,y)

y is up and down

x is right and left

your points are right

[alpine sable]

glorious! thank you :))

math learning moments are fun because the only teachers i have right now are online folks; fun as f2f teachers

[fresh parcel]

mhm

math is more of a natural thing

it describes things in real life

its just that some people don't make that clear :)

[alpine sable]

ah! i see

[fresh parcel]

im going to go now

i have things to do

[alpine sable]

farewell :)

[fresh parcel]

:)

[alpine sable]

thank you again

[fresh parcel]

yw

[quartz osprey]

how do i solve for this

21000=A(1+0.06/365)^-365(4)

when i solve for A i get like

0.99 or something

which doesnt make sense

thank you

[grand garnet]

you might be plugging in the wrong numbers.

i got a different answer when i plugged everything into my calculator.

[quartz osprey]

alright

let me replug in

so waht im going to plug in rn is

or

thats the setup right

[grand garnet]

use your initial formula

[quartz osprey]

ok sec

[grand garnet]

p=a(1+r/m)^-m(t)

[pliant beacon]

how do i get the slope

[quartz osprey]

now i try to isolate x right

couldnt i divide by that entire thing?

[grand garnet]

yep

[quartz osprey]

alright let me see what i get

26695.7055

[grand garnet]

yep!

[quartz osprey]

how can the initial be bigger than the A

or ami trippign rn

[grand garnet]

it can't.

[quartz osprey]

did i plug in wrong then

or

am i doing it wrong

[grand garnet]

so actually you found each variable.

[alpine sable]

Any help here? I figured that AB = 6x - 50, although that isn't the answer. I used the quadratic formula but I got different values for x.

[quartz osprey]

yea

i have all of them

[grand garnet]

so what is p?

this is compound interest correct?

[quartz osprey]

sec

uhh

P is what you get

like P is final $$$

A is initial

wait no A is final

and P is initila we aretryihng to fin d intiial

[grand garnet]

yeah, but for some reason the equation given to you is written wrong and when I plugged everything in i got 16,519.51

[quartz osprey]

hmm

what formula should i use

teh -1 one?

[grand garnet]

do you have multiple tries on the answer?

[quartz osprey]

yes

im just trying to understand the problem atm

[grand garnet]

so the equation that is written on the hw says p=a(1+r/m)^-mt

so if we don't know p, plug in the numbers you already have

[quartz osprey]

alright

p=21000(1+0.06/365)^-365(4)

oh

and tahts the right answer

wtf

wait im so confused

what is this problem asking me and waht is it related to the equation? wtf

i dont understand hm

[grand garnet]

so, you were finding interest. however, this equation was set up different b/c the ^(-mt)

lol tbh i was confused too for a second.

[quartz osprey]

wait im so confused

so this equation is to find compound interest

after 4 years

bruh im confused

[grand garnet]

given me one second im looking into another equation

ahhh, okay so you are finding the initial amount, because -365 days times 4 years would help find the amount deposited in the beginning. does that help?

and r/n is the percentage rate/the duration (365days)

if that doesn't help maybe we could get on a chat.

[wary stream]

That equation in the problem for compound interest was to find the value in the past. The negative sign makes it go back in time. Normally the equation is positive exponent

[alpine sable]

I was using Photomath because I was stuck on something and on this step, it tells me to change the signs on both sides of the equation but I don’t know why I have to do that. Could someone explain?

[quartz osprey]

oh i see alright thank you

[quartz osprey]

it helps thanks sm

[stuck anvil]

this

help me please

I also have to graph it

[dire wren]

find domain and range?

u should graph it first

[wet cove]

how do i find x

i need explenation

[dire wren]

bruh

channel is in use

subtract 3 from both sides

then multiply by 2.9 on both sides

[wet cove]

thanks

[stuck anvil]

how?

[rocky quest]

I need help

[dire wren]

that a quiz?

lol

we cant help on tests/quiz

[raw shard]

submit quiz

lol

[shy thicket]

I mean if you gonna cheat

do it right

jesus you are lazy

[raw shard]

@rocky quest first of all that’s a quiz, second of all the people before you haven’t gotten there questions answered

[wintry oyster]

nvm.... 😦

[raw shard]

same to you sorry

@wintry oyster #help-8 is open

[wintry oyster]

ok ok ty

[raw shard]

@craggy niche i can’t help you without giving the answer, and that’s pretty basic stuff so if you’re doing derivatives you should know that

[wet cove]

whats the next step?

[ember pike]

If f(1) = 10 and f(n) = -2f(n-1) then find the value of f(5)

[raw shard]

divide by 15

[ember pike]

help

pls

[wary stream]

Don't interrupt a channel that is being used

[wet cove]

8 right?

[raw shard]

f(2) = -2f(1) = -20

do you see a pattern?

@wet cove yeah

[wet cove]

<#

[craggy niche]

dldh06 gave some advice, got it right. Cheerrs

[raw shard]

keep doing f(x+1) in terms of f(x)

@ember pike

[wet cove]

1/65 in negative exponent

how

[native ginkgo]

guys what method do i need to make 2/7 into decimal without calculator

[wary stream]

$$a^{-n} = \frac{1}{a^n}$$

[ocean seal]

dldh06

[wary stream]

Long division, by hand

[native ginkgo]

@wary stream ty

[wet cove]

so 8^-2?

[wary stream]

Yes

[wet cove]

do i multiply them?

[wary stream]

Divide

[wet cove]

what is the next step

[ember pike]

makes no sense

im about to rip my hair out its so frustrating

[wary stream]

Do you not know how to use basic algebra concepts? Get all the terms with a variable on one side, everything else on the other

[civic jungle]

This might help: the statement f(n) = -2f(n-1) really ought to be written as: "for every positive integer n, f(n) = -2f(n-1)."

Then just try to read it like an English sentence and understand what that is saying

[ember pike]

so do i just plug in 5?

to n?

[civic jungle]

Don't do anything until you've understood the meaning of the sentence

[ember pike]

i understand what it means

[civic jungle]

could you say it in your own words?

[ember pike]

wdym by that

[civic jungle]

Translate for every positive integer n, f(n) = -2f(n-1). to the kind of English you understand

[azure smelt]

How do yu calculate p?

Statistics btw

[ember pike]

this is so frustrating i cant even think

[civic jungle]

It's expected to take some time if it's your first time reading math (properly)

But I promise you everything you need to know how to solve the problem is actually contained in that sentence

[azure smelt]

Wdym by that

[civic jungle]

You just have to dig the meaning from it

[azure smelt]

Dig?

[civic jungle]

Oh I wasn't responding to you @azure smelt

[azure smelt]

woops

[ember pike]

i dont speak math language

[azure smelt]

um could u help tho?

pls

I suckkkkkk at math

[civic jungle]

Yep, that's normal. But the good thing about math language is that it's grammatically just English

[azure smelt]

Well no

[civic jungle]

If you understand the abbreviations

so let's walk through it

f(n) means "the value of f at n"

= means "is" (in particular, not "calculate")

-2 is -2

and f(n-1) is "the value of f at n-1"

[ember pike]

mhm

[civic jungle]

so if you write it all out, you'd get:

"For every positive integer n, the value of f at n is -2 times the value of f at n-1."

Now the "for every positive integer n" is important

What do you think it's trying to say there?

The positive integers are 1, 2, 3, 4, 5, ... btw

[ember pike]

for every positive integer, multiply it by n?

[civic jungle]

Nope!

[ember pike]

hmm

[civic jungle]

But that's okay

I'm glad you attempted an interpretation

[ember pike]

every positive integer is n?

[civic jungle]

Nope

So the real deal is this

If I said "every positive integer is positive" (kind of a tautology)

You'd have no problem understanding that right?

[ember pike]

I understand that

[civic jungle]

Let's get gradually more complicated

[ember pike]

its like -2 is -2

[civic jungle]

"Every positive integer plus itself is equal to twice itself"

Does that sentence make sense?

[ember pike]

yes

[civic jungle]

Notice how I said "itself" many times

It gets quickly unwieldly for more complicated relationships

[ember pike]

Yep

[civic jungle]

So we introduce a variable name

to name the "positive integer"

So let's write more succintly

"For every positive integer n, n+n = 2n"

I just rewrote "Every positive integer plus itself is equal to twice itself," no tricks involved

[ember pike]

so n+n is 1

because 1+1 is 2

[civic jungle]

Do you mean n is 1?

[ember pike]

Yes

[civic jungle]

Why did you say that?

[ember pike]

because you said n+n is 2n, and isnt every positive integer plus itself twice itself?

[civic jungle]

Yep

So n is really anything, right?

[ember pike]

Yep

[civic jungle]

In fact, you aren't even supposed to solve that equation

[ember pike]

so if n+n = 10

[civic jungle]

Just read it

[ember pike]

then n+n = 5+5

[civic jungle]

so let's step back

[ember pike]

because adding a positive integer to itself is two times more

[civic jungle]

All I did was write the sentence "Every positive integer plus itself is equal to twice itself"

in a more efficient way

No more, no less

I didn't turn it into a problem

I just wrote it as a math sentence

[ember pike]

yes

[civic jungle]

"For every positive integer n, n+n = 2n"

Understand how that means the same thing as the longer version

The role of n here isn't something to solve for

It's just a name

Just like you give people names

I gave the positive integer a name

the 'n+n = 2n' is again a part of the sentence, it says "n plus n is 2n"

(there is no "solve" or anything like that)

I gave it a name n, so I can call it n

[ember pike]

yes

[civic jungle]

So that's what "for every positive integer n" should be read as

-> "For every positive integer... (and I'm calling it n)"

[ember pike]

mhm

[civic jungle]

So back to:

for every positive integer n, f(n) = -2f(n-1).

This is gonna translate to:

"f at every positive integer input is equal to -2 times f evaluated at 1 less than that positive integer" (this is pretty unwieldly to write out)

That's the whole point of introducing algebra and math notation

[ember pike]

Ok so, lets say for instance f(1) = 2

and

f(n)=-3f(n-1)

then

f(2)=-3f(2-1)

[civic jungle]

Yes!

[ember pike]

which equals -3f(1)

[civic jungle]

Indeed

[ember pike]

and then -3(2)

[civic jungle]

Yep

[ember pike]

so the answer for f(2) is -6

[civic jungle]

It does look like f(2) is -6

Well done

[ember pike]

Alright, now i get it

its basically just plugging in everything

[civic jungle]

If I were to say what it basically is, it's reading comprehension :)

[ember pike]

Yep

Alright, well i understand now

Thank you for your help

[civic jungle]

See, speaking math isn't that hard!

[ember pike]

Just gotta think it through

[azure smelt]

can u help me please

I Hate Statistical Analysis

[civic jungle]

@azure smelt What does cumulative frequency even mean?

[azure smelt]

U don't know or are u asking me?

[civic jungle]

I feel like if you recall the definition, you'll immediately know from reading it how to find p

Half and half 😛

[azure smelt]

What

[civic jungle]

did I say something confusing?

[azure smelt]

Cumulative as in collective

Frequency as in estimate

Right?

[civic jungle]

Those don't sound like workable definitions at all

There should be precise definitions for what those terms mean

[azure smelt]

Bruh

[civic jungle]

I'm not saying that like I'm surprised

I know for a fact either your teacher or textbook

has the precise definitions

in your notes or in the textbook

You just have to find them

[rigid wind]

it's the summation

up to that point

[civic jungle]

Ya, cumulative should mean something like that

does that ring any bells?

[azure smelt]

Not in my head

But yes

Kind of

[rigid wind]

can you repost the pic

[azure smelt]

My tutor is going by IB standards

[rigid wind]

at x=15, cdf = 2 + 10

at x=25, cdf = 2+10+14

etc

[azure smelt]

I don't know what IB is

[rigid wind]

cumulating all the previous frequency

up to that point

[azure smelt]

But how do I find the relationship>

[rigid wind]

you need to find p

[azure smelt]

Isn't that the whole point in this>

[rigid wind]

what relationship?

[azure smelt]

Between the frequencies>

[civic jungle]

This is kind of a weird data set, can x only take on the values {5, 15, 25, 35, 45, ...}?

[azure smelt]

Right?

[civic jungle]

(side question)

[alpine sable]

can somebody help me

[tacit ginkgo]

It's a really odd dataset. I'd assume so because then the c. Freq would rely on how many values you choose... unless that's what it's supposed to be?

[civic jungle]

Indeed, if x could be any positive integer, then cumulative frequency would not even be determinable from the frequency column

[rigid wind]

you're only working with what given

[azure smelt]

Nothing

lol

No Mean, MEdian

or Mode

[rigid wind]

?

[azure smelt]

lol

[rigid wind]

.

with p completing the frequency, you can find mean

and variance

[civic jungle]

wat class/year is this for?

[azure smelt]

ughhh

im not in skool

home skool

[civic jungle]

Oo, so what year?

in that case, the tutor you refer to is just your teacher right?

[civic jungle]

Ok I figured out what cumulative frequency likely actually means in this context

Frequency of x is just $#{y\in\text{ your data set }\colon y=x}$

[ocean seal]

Icy001

[civic jungle]

and cumulative frequency of x is just $#{y\in\text{your data set}:y\leq x}$

[ocean seal]

Icy001

[civic jungle]

And the assumption is the data set only contains values 5, 15, 25, 35, and 45

[tawny dawn]

How do I find the ordered pairs?

[civic jungle]

@azure smelt hope that helps, I gave you the likely precise definitions

[lapis goblet]

wdym

[wary stream]

Already getting help

[lapis goblet]

aight

[quartz osprey]

need a little help on this problem in finding T

so what i have so far

is 18000=15000(1+0.05/12)^12(t)

6/5=(1+0.05/12)^12(t)

and im not sure where to go from here

do i do -1?

[lapis goblet]

take log of both sides

Look up log power rule

[quartz osprey]

ok sec

ok i see

so i hit it with a log and change it to a log?

[lapis goblet]

huh

[quartz osprey]

uhh

idk

like

12tlog 1+0.05

[lapis goblet]

did u look up log power rule

[quartz osprey]

yea

[lapis goblet]

Yeah what u have is right

[lapis goblet]

This

[quartz osprey]

ok thanks

seems easy enough to be solved from here right

[lapis goblet]

Yes

[quartz osprey]

-.05 and

[lapis goblet]

Isolate the t and plug into calculator

[quartz osprey]

ok nvm i lied

can i subtract 1+-.-5

or i can add tehm first right?

1.05

[lapis goblet]

Subtract?

[quartz osprey]

add

1+0.05

[lapis goblet]

Just leave it as is

[quartz osprey]

ok

[lapis goblet]

And plug it all into calculator

Less steps for you

[quartz osprey]

calculator wil solve for t?

[lapis goblet]

6/5=(1+0.05/12)^12(t)

[log(6/5)]/[12log(1+.05/12)]= t

[quartz osprey]

wait what

[lapis goblet]

yeah same thing

[quartz osprey]

3.65402

[lapis goblet]

ye

[quartz osprey]

alright i probaly wont remember why

bruh

but thanks

[lapis goblet]

power rule my dude

It brings the t down like you had

[quartz osprey]

so hit it with the log when you need to solve for a power

[lapis goblet]

Then you just solve for t

[quartz osprey]

alright

[lapis goblet]

just remember to do it for both sides

[raw shard]

ln(x^y) = ylnx, ln(xy) = lnx+lny, ln(x/y) = lnx-lny

[quartz osprey]

those are log rules

[raw shard]

yeah

[quartz osprey]

yea that first ones powerrule

[lapis goblet]

Memorize this shi

[quartz osprey]

yea 😭

i need to thanks

[lapis goblet]

👌

yup

Wdym

U got your 2 roots

that’s it

[raw shard]

maybe rewrite as 18-7x = x^2

which i see some solutions to

[quartz osprey]

after that im stuck on this i dont even know how to get started is it I=prt?

[robust flax]

how can i compute this?

[raw shard]

bruh

both of you should delete your questions

this channel is occupied

[quartz osprey]

you can factor that out like

wait can you

x+9 x-3

yea that works

your zeros are 9,3

that can also be simplified to -3rt-72 or whatever

im not sure if rt-72 is possible

[raw shard]

x^2+6x+9+-36 = (x+3)^2 - 36 = 0

hmm

3 and -9

@tropic oasis idk how you got that

[quartz osprey]

-9?

[raw shard]

oh

[quartz osprey]

oh wait yea

google how to find percent increase

[raw shard]

it can

did you input the values correctly?

[abstract pelican]

Can any1 tell me why I'm not getting -1 as an answer here?

[jagged imp]

d(b^3)/dx=0?

[celest anvil]

so i did this

undefined for some reason help pls 🙂

[jagged imp]

should be 1*-3+-1*4 for your dot products.

[celest anvil]

oh shot

so row pairs not column for the bottom too>

?

[jagged imp]

nope. denominator is fine.

[celest anvil]

alr coo

[knotty sage]

Find three cubic spline functions that pass through the four points (1, 5), (2, 6), (3, 2) and (6, 1) with the second derivatives = 0, at the two endpoints.
Anyone can help me with that?

[abstract pelican]

thanks

[vale wigeon]

@knotty sage are you sure you didn't misstate anything there?

[knotty sage]

why?

[vale wigeon]

...oh wait, cubic splines...

[knotty sage]

yep

[vale wigeon]

not just a single cubic function interpolating all of this at once

[knotty sage]

do u know how to do that?

[vale wigeon]

have you made any progress on this btw

i have an idea in mind but idk if you already arrived at it yourself

[knotty sage]

i have not

[vale wigeon]

make the interpolating function linear on [1,2] and [3,6], then make a cubic interpolating function on [2,3] with first derivatives at 2 and 3 matching those of the linear pieces

[modern dagger]

Hi. How to find complex solutions for D and E in this expression: $$-p - 1 = Dp - 2D - 3Di + Ep - 2E + 3Ei$$ ?

[ocean seal]

OleG

[vale wigeon]

😒 how could i forget that #help-0 is where everyone gangs up

i'm out

[alpine sable]

hello

is anyone alive to help me with some calculus

[knotty sage]

how can i do that?

[lapis valley]

How can I solve this for x, other than graphing?
$$\frac{1}{x}\hspace{1mm} cosh \left(285x \right) - \frac{1}{x} = 74$$

[ocean seal]

hduxueiwkwnxudi

[rigid smelt]

its a transcendental equation so theres probably not any other way

[lapis valley]

oh

[rigid smelt]

i mean you could kinda write it in terms of exponentials and fractions, and then try to simplify it somehow so that we can use lambert w function here

but i cant really see how

[lapis valley]

I see

lmao when i put this in wolfram

[rigid smelt]

probably used series to solve and approximate answers 🤷‍♂️

[vale wigeon]

i was going to post this but then someone else just had to jump in

[knotty sage]

sorry what should i do next?

[vale wigeon]

you could do one of several different things but it's all going to boil down to solving a system of linear equations where the unknowns are constant coefficients characterizing your middle cubic in some way

you could for example write y' = (11 - 4x)/3 + a(x-2)(x-3) where a is an unknown constant, integrate that, get another constant, then set y(2) to 6 and y(3) to 2 to get a system in a and c and solve for those

(11-4x)/3 is the linear function that interpolates between (2, 1) and (3, -1/3)

[alpine sable]

hey! can anyone do these two?

[bleak wren]

hi can somebody help w truth values ?

[abstract pelican]

You can use the truth table I think

[bleak wren]

idk how to use that

im having trouble trying to understand it

[abstract pelican]

stolen

in your case, it's B and D respectively

[bleak wren]

wait so what would be my answer

like do i just write b and d

[alpine sable]

can someone help me pls. question:The sum of the first 105 numbers in Pascal's Triangle

[abstract pelican]

Since both statements B and D is true , the truth value would be
B ^ D = T ^ T = T

I guess

You have to identify first if the given statements is true or false

After that, rely on truth tables so you can get its truth value

Or if there's no given truth table, then make one

[bleak wren]

what happens to the J tho?

[bleak wren]

thats the thing i have no idea how and i cant understand it

[abstract pelican]

Ohh I thought I saw and statement

So it's a conditional one

Anyways, it's still the same

[bleak wren]

idk it's a conjunction

[abstract pelican]

You just have to know if the statement is true or false, then use a truth table

Unfortunately, I can't help you with making a truth table. However, there are youtube videos out there that will explain it better than I do

[bleak wren]

ohhh i made up those statements

how do you know if they are true

[abstract pelican]

Since the statements you used in your compound statement is true, then the value of it would be true

If you wrote if vaccination rates are NOT increasing, then B would be false

Since that would be the opposite of your simple statement B

[bleak wren]

ohh okay

what about this

[abstract pelican]

The truth value would still be true

Since the single statements are true but you negated them all your statements, it would still be true. Truth table would look something like

H P ~H ~P (~H^~P)
T T F F T

Or wait

Here

[bleak wren]

wow

so it is T ^ T = T ?

[primal tinsel]

I'm struggling

What am I supposed to put in this box

and why am I supposed to put it there?

[waxen pendant]

hi can someone help me

[knotty sage]

@vale wigeon is it like that?

[alpine sable]

some help plz

[nimble wyvern]

well, you can start by expanding cos(3theta)

[alpine sable]

im not sure how to do that

these are the identities i have

could you treat it as if it's cos(2x+x)?

[toxic zephyr]

yes

[alpine sable]

wwhat is i was to have cos4x @toxic zephyr

[versed vault]

for what values of x is this undefined

[alpine sable]

cos3x+x?

[versed vault]

I found x = 1, x = -1 and x = 1/3

is there any more?

[toxic zephyr]

that works but maybe cos(2(2x)) would be better

depends on the situation

[alpine sable]

does it work like that

dang

i see

[sick olive]

It this chat free?

[alpine sable]

This chat free?

Anyone can help?

Been solving it for an hour

I cant get it right

[devout summit]

Take cases to get rid of modulus

[alpine sable]

I did

Can you send me steps

See how you did it

[devout summit]

What is your progress

[granite wharf]

Help

I need help

With maths

[alpine sable]

I separated them with 2 possible cases

X-7 / X+ 2 < (x-3)

X-7 / X+ 2 < (-(x-3))

Am i correct?

[devout summit]

For x>=3 and x<3 correct?

Now, bring the (x-3) to LHS and combine with numerator

[alpine sable]

Ok

[granite wharf]

I need help

Is anyone good at statistics

[devout summit]

This channel is occupied

[granite wharf]

Me ?

Im in 8

[alpine sable]

Is channel is occupied please

?

[granite wharf]

If you can help then yea I dont mind

Okay do I start ?

[devout summit]

For this, \$\frac{x-7}{x+2}-(x-3)<0\implies \frac{x-7-(x+2)(x-3)}{x+2}<0$

[ocean seal]

Euclid31415

[granite wharf]

Thats the two graphs

[alpine sable]

Yeah thats what i did then?

[devout summit]

The numerator turns into -(x-1)^2

[alpine sable]

God dam it go another channel please

[granite wharf]

I need to compare them and I need to use the words mean, median and mode and skew

[alpine sable]

Bruhhh!!!!

[hoary sand]

[devout summit]

dm me

[granite wharf]

Here

I have to write a paragraph

To compare how they are similar

[hoary sand]

do you know what those terms mean

[granite wharf]

And different

I know what these terms mean

[hoary sand]

then just compare them for each graph?

[granite wharf]

I dont know how to find these terms in the graph

[alpine sable]

go to sleep kid

[granite wharf]

Its due 11.59pm

I cant sleep

[alpine sable]

its 3:09am

now

[hoary sand]

not everyone is in the same country

[granite wharf]

Exactly

[alpine sable]

oh

[hoary sand]

how do you find the mean

[granite wharf]

You add all the data together and divide it by how many data is collected

[hoary sand]

so, do that

[granite wharf]

Ok

[rocky ledge]

topic is area of triangles

how do I find the indiviual side lengths?

[frail crypt]

Can someone help me here?

[alpine sable]

We have $X_i \sim N(\mu, \sigma^2)$ we want to get rid of the $\mu$ thus we can rewrite it as $X_i - \mu \sim N(0, \sigma^2)$. How is this possible; how does this work? How is this called?

[ocean seal]

faraday

[wispy olive]

<@&268886789983436800> .

[night geyser]

not worth a mod ping

just tell them that memes go in #chill

[wispy olive]

Memes in question 0 and also in other channels.

[night geyser]

and what do you expect us to do? ban on the spot for posting an inoffensive meme in the wrong place?

[wispy olive]

Why is the center point 2/3 as far away from (0,0) than $(a+b/2, c/2)$

[ocean seal]

Senku Ishigami

[wispy olive]

Delete the post and tell them not to.

[night geyser]

the former isnt really necessary and the latter can be done by you.

[raven sapphire]

lmao

[warm sky]

Is this equal to zero?

[wispy olive]

Memes go in #chill .

[raven sapphire]

why are you still on about this?

[wispy olive]

Well ask the mods.

Memes are not really generally allowed here.

[raven sapphire]

Ask the mods? tf you mean. drop this whole thing and ignore it. no reason for you to still be babbling on about this

[wispy olive]

Well sure.

If you ask a question, everyone ignores it and then some person comes and pings you to joke with the question.

I guess you would feel really good.

Leave it.

[raven sapphire]

you're still going on about this

why?

[alpine sable]

,w y = 5x + 1

[warm sky]

You can use the quadratic formula from here

[ocean seal]

Results provided by WolframAlpha

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

Requested by moncler#5094

[quaint trout]

<@&268886789983436800> @summer yacht keeps spamminf people with this nonsense answer and won't stop after being asked to

Mods have logs

Don't be dumb

[fading zephyr]

lemme check

presumably this

[quaint trout]

Yeah

[fading zephyr]

i'll mute you for a while as a warning @summer yacht . repeated offenses will escalate.

[tired drum]

Can anyone do this and give me the working

[tidal turtle]

ty

[alpine sable]

anyone there

sam can walk 2.1 m in 30 mins , find the time taken for 5.6 km

2.1 mile = 3.37 km

how do i solve this

[alpine sable]

#❓how-to-get-help read rules

[mighty tiger]

if I have a summation over index C and C= A+ B then is the summation over index C = Summation over index A * summation over index B ?

[wintry whale]

Use TAN relation. eg: TANA=p/b

[junior talon]

This is from spivak's calc

How do I even approach this?

[alpine sable]

help

[silver current]

@alpine sable substitute -3 into the equation

so y = -2(-3)-3

=3

and then do that for the rest of the x values

[covert minnow]

Hell

Help

[sullen dock]

don't ask to ask

[covert minnow]

What's that supposed 2 mesn

Mean

[sullen dock]

don't say help waiting for someone to say post your question for you to post it, post it directly

[covert minnow]

Nitro for helping me with math😋

ax+b=c+d

It isnt schol work😋

[covert minnow]

Hot

3b=byx

5=4x

[olive inlet]

Help plz

[covert minnow]

[olive inlet]

I have a class soon plz ASAP

[covert minnow]

@sullen dock

[alpine sable]

Hello
I'm a student from class 8
and I have problems in linear equations containing fractions in them

[dim oasis]

Would you like some help with them?

[covert minnow]

HELP

[alpine sable]

Yes

I would please

O actually don't know how to solve them
If one is given in fronna me

[dim oasis]

Could I see the problems?

[alpine sable]

Yes sure

Wait

Can I give a file?

[dim oasis]

Sure

[alpine sable]

Basically no.13,14
Questions like thesee

[raw shard]

multiply the second equation on 13 by 2

then add both equations together

x is isolated now

[alpine sable]

Okay

[dim oasis]

In 14, you could multiply second equation by -10 to isolate Y

Not sure if there’s easier way, it’s been a while since I’ve done elim lol

[alpine sable]

I see

Okay thank you very much

Obliged

[late parcel]

Is this channel open?

[dim oasis]

[late parcel]

Can someone explain questions 4-8 to me

[dim oasis]

It’s been a while since I’ve done problems like that but they seem right to me

[late parcel]

But why

I just copied the answers from the board and don’t understand why

I see no correlation

[dim oasis]

I wish I remembered bio enough to be super helpful but I’m not sure what I can do

[mellow dome]

is this channel open?

[late parcel]

Umm

Does anyone know population environmental science

Growth curves

More of a math than science unit

[buoyant kayak]

populations of animals grow logarithmically, meaning they eventually reach a population cap, whereas things like bacteria and other unicellular organisms grow exponentially

not sure the limits to bacteria growth though

[late parcel]

I know that bugs also grow exponentially

And spiders

And R- selected species

But the thing is

Why are the fleas considered logistic

Because arnt fleas an insect

And don’t they give minimal care to their young

[buoyant kayak]

no idea, i don't know anything about environmental studies

[late parcel]

Alright np. I guess this is a math server anyways. @mellow dome channel open

[mellow dome]

danke

how do I go about doin this?

<@&286206848099549185>

[alpine sable]

how do i solve 2^-4?

[sleek elbow]

its the same as $\frac{1}{2^4}$

[alpine sable]

wut]

[ocean seal]

Ladan

[alpine sable]

so the minus trnaslates to /whatever the equasion is without a minus

[sleek elbow]

yup thats it^^

[graceful gyro]

could someone explain why its 9/2x and not 9/2xy

[late parcel]

Is this channel open

I have a real “thinking” problem

[dim oasis]

I could take a crack at it

[late parcel]

Never mind, I found out it had a simple formula

[pastel osprey]

someone please help my math homework is due in 15 minutes and i dont know how to solve this one question. it goes “there’s line AB, construct point C so that AC:CB=2:3”

nvm y’all false alarm my homegirl got me

[echo tide]

homegirl a real onε

[dim oasis]

gg homegirl

[pastel osprey]

periodt

[rich silo]

<@&286206848099549185> can I have some help pls

[fresh parcel]

isnt an integral literally that

the area under the curve is taking an integral

[rich silo]

Ye but I only just started the topic and I’ve tried googling it can’t get like a clear answer

Like idk how to explain that in a summary

[glass lichen]

Keep in mind the actual instructions are to research yourself

[rich silo]

Okay

Mosh

[fresh parcel]

Oh

[glass lichen]

Yeah, they're just trying to be lazy

[fresh parcel]

i know what the teacher wants now

[rich silo]

I am trying to be lazy

[raw shard]

https://tutorial.math.lamar.edu/Classes/CalcI/AreaProblem.aspx

read this

[rich silo]

Bcos that’s what this server is for

[glass lichen]

it isnt

[raw shard]

and go to the next page and read it

[fresh parcel]

maybe he/she just wants you to describe the idea of infinite sums

[rich silo]

Thanks quantum

That’s actually very helpful

🙏

[glass lichen]

almost like you could've googled that yourself

[raw shard]

lol

[rich silo]

Shut it mosh

I have been it’s not easy to get a good website

You and your anime profile pic

[raw shard]

bruh

[glass lichen]

3b1b's video on the topic, any derivation of definite integrals via riemann sums

[lone pasture]

ono

[fresh parcel]

like how when there are more and more rectangles the integral more closely approximates the area under the curve

[glass lichen]

just googling "How is area under a curve and an integral related?"

[fresh parcel]

yes 3b1b is cool

[rich silo]

Just google “how to go outside”

[glass lichen]

Like I just googled it and got a stack exchange post

[lone pasture]

@rich silo chill bro

[rich silo]

Hope you’re proud to have the “very active” role on a discord buddy

[lone pasture]

you found your website now go research

[rich silo]

Okay harsh ❤️

Help for usage!

[glass lichen]

what have you tried?

yep

range is the set of outputs

2(5)+7

x is redundant and confusing since the variable was x