help-0

[alpine sable]

that's usually how this is done

[ashen anchor]

what does x represent in the question? (obvious question)

given those two pieces of information, finding a domain should be ezpz

[fresh quail]

hi

can i ask cal here

[rustic delta]

um is it the fans?

[vast ore]

bro there r three questions lmao

[ashen anchor]

the question says "x is the number of people in attendance"

which values make sense for the number of people in attendance to take?

for example... can you have half a person in attendance?

[rustic delta]

no

[ashen anchor]

so that rules out real numbers

[rustic delta]

mhm

[ashen anchor]

it also rules out choice A since the stadium is capable of seating more than 30

so the only choices left are C and D

[rustic delta]

D?

[ashen anchor]

D is what I would suggest as well since it specifies whole numbers

[rustic delta]

how do i get the range?

[ashen anchor]

whats your understanding of range?

[rustic delta]

not that much

[ashen anchor]

oh okay, well range is the set of all possible outputs of the function f(x)

while domain was inputs

[rustic delta]

oh ok

[ashen anchor]

which that in mind, what do you think is the maximum value f(x) can have?

[rustic delta]

30

[ashen anchor]

any particular reason why you say 30?

[dire jetty]

@alpine sable thx got it now just used the table the wrong way around

[ashen anchor]

I can guarantee you the largest value is not 30 since that is just f(1) haha

[upbeat gorge]

imo, before you even touch the range in this problem, you should identify first your domain

[ashen anchor]

that was the first question we solved here

[upbeat gorge]

ah ok

one foot in the door then

[rustic delta]

so now what ?

[ashen anchor]

I could just tell you the answer but that would ruin the learning haha

you know the domain :) its the set of all possible inputs.

you need to use that knowledge of possible inputs to figure out what is the set of possible outputs

lucky for you, the function f(x) = 30x is simply just multiplying your inputs by 30

[rustic delta]

i believe its either d or c

[ashen anchor]

oh, i dont see the range question

if you can post a picture of the range question, i can confirm

[ashen anchor]

is it possible for 0 people to show up?

[rustic delta]

no

[ashen anchor]

wait haha yes it is possible

[rustic delta]

bruh what

[ashen anchor]

im trying to get you to see that 0 is in your domain

which translates in english to "zero people can show up"

if zero is in your domain, it translates to the minimum value of your range

[upbeat gorge]

not always but in this case yes

[wary stream]

Is there suppose to be a decimal point before the values, like
.0, .30, and .63,026?

[ashen anchor]

yeah thats why i specified "your" and not "the" ;)

[violet canopy]

how do you find the number that is arranged smallest to largest

[wary stream]

Just look at the exponents and put them from smallest to largest

[grand nest]

c is not the correct awnser btw

[violet canopy]

it's that simple?

[wary stream]

Yes

[torpid turtle]

8x4

please

[grand nest]

?????

[ashen anchor]

assuming the number being multiplied by powers of 10 is a single digit, it is that simple

[torpid turtle]

8x4 hello anyone

[wary stream]

Use a calculator

[torpid turtle]

i dont have one

[wary stream]

Use your fingers

[ashen anchor]

16x2

[torpid turtle]

ohhh

ok

32

[ashen anchor]

cant tell if troll

[wary stream]

You can do 16x2 but not 8x4? Tf

[grand nest]

well, it is easier to multiply by 2

[ashen anchor]

huh

maybe that did help

i was just being sarcastic LOL

[wary stream]

Also, if you're on some sort of device, whether it's a phone, tablet, computer, etc, because you're somehow using discord, they all have a calculator

[grand nest]

but then again idk why anyone can't remember 8x4

[torpid turtle]

🤓

[grand nest]

So true

[wary stream]

Definitely trolling

[torpid turtle]

yea

i was but idk what 8x4 before

[ashen anchor]

[grand nest]

what year are u in?

[wary stream]

Like I said, calculator

[vagrant falcon]

I need help…this packet is graded on accuracy and I don’t even know if im rigjt

[ashen anchor]

really cant see that text

[vagrant falcon]

better?

[alpine sable]

I can’t type in #category-theory

[wary stream]

#get-advanced-access

[alpine sable]

I chose the thing

But I’m still not able to type in it

[wary stream]

Press the check mark

First

[wary stream]

"HOW TO TYPE IN ADVANCED MATHEMATICS
To deter users of a lower mathematical level from stumbling into the advanced section, you are required to gain the Advanced role to type here. If you acknowledge that you understand the purpose of these channels, and would like to participate in them, react with :greencheck: under this post."

From the #get-advanced-access channel

[alpine sable]

Oh thanks

[ashen anchor]

its better. I'll work on it soon. What are you stuck on though?

or are you just asking if your answer makes sense?

[vagrant falcon]

if my answer makes sense, this HW is graded on accuracy so and I spent alot of time on this problem

however im not sure if its right

[ashen anchor]

quick question. I'm being rather pedantic but does the area NEED to be rectangular?

it just asks for minimum right?

[quartz osprey]

uhh

minimum is 2nd derivitive right

[vagrant falcon]

its asking for volume

the volume of the mulch around the thing

[quartz osprey]

how do i find the derivitive and how do i get that last answer

[vagrant falcon]

That’s the info

[ashen anchor]

yee i know the barn is rectangular

but consider this

[vagrant falcon]

Yea that’s what I drew

[ashen anchor]

you see those curved edges

[vagrant falcon]

The white outline is the barn

The red is the mulch

[ashen anchor]

yes im aware, but you have the mulch as being rectangular as well

im suggesting what if the edges are curved

it reduces area, while keeping the 10 foot constraint

so i'm asking if the mulch NEEDS to be rectangular as well

[vagrant falcon]

yes it does

[ashen anchor]

interesting, then ill calculate based on that

[vagrant falcon]

well from top its rectangular

basically it says its 10 feet from each side of the barn

the barn is 30x50 ft.

so the mulch area is 50x70

plus the 6 inches deep (.5) feet

[ashen anchor]

assuming rectangular mulch yes, I can guarantee you the shape I drew has an even smaller area haha BUT I will calculate based on the assumption of rectangular mulch

[vagrant falcon]

ok

[vagrant falcon]

FYI, the problem is asking for cubic yards

not cubic feet

[ashen anchor]

sure thing

[quartz osprey]

how do i find the derivitive for this

and how do i find answer for B i already tried plugging into both derivitives and original equation

am confused i kinda broke it down to f=-0.01x^2 f'=-0.02x g=lnx g'=1/x and when combined

[ashen anchor]

I calculated in feet^3 then converted to yard^3

i gotta fix a typo

[vagrant falcon]

27?

where did 27 come from

[ashen anchor]

its the conversion of cubic feet to cubic yards

there was another typo so i fixed

[vagrant falcon]

oh

so 3 feet by 3 feet by 3 feet right?

which is 27

[ashen anchor]

that what i saw yes

[vagrant falcon]

ok

hm

so the answer is 37.03 cubic yards?

cuz i saw my mistake now

[ashen anchor]

1000/27 ~~ 37.04 to 2 dp

[compact meadow]

Who good at chemistry

[shy lion]

yb: Depends on the chemistry problem

[vagrant falcon]

How do I find the radius for the silo, it states no info about it

[north needle]

$rotate image

Need to learn commands

[wary stream]

,rotate

[shy lion]

Give me a minute and I have to install libreoffice. I thought I had it already but apparently not

[quartz osprey]

dont really know how to plug this in

other than like

q0=20

q0e^kt

[sour dove]

you forgot your variable t

[quartz osprey]

k should be a constant

oh

im so mad

it stilld oesnt work

every 20 minutes

so 20x or something

i mean i could just o k2

kt

[sour dove]

no it doubles every 20 minutes

[quartz osprey]

how do i express that?

^2?

[sour dove]

so you have an initial population of 20

so what's double of 20?

[quartz osprey]

40

so i do double of the population at first ?

[sour dove]

great. Now set t = 20, and set the outcome to 40

then solve for k

then you get your answer

[quartz osprey]

wait im so confused

why do i do that ?

initial pop of 20

why do i find double of it ?

since t techincally is 0 rn right?

[wary stream]

You realize it says a function of time t, meaning that you don't plug in anything for t yet

[quartz osprey]

oh

i didnt know

[sour dove]

because the problem gives you that fact. It says "it doubles every 20 minutes" So we know that at t = 20, it'll be twice the initial value (aka when t = 0)

[quartz osprey]

oh i see

no i dont see it

i dont see how initial would still be double d

i know t=20 it will double though

yea i dont get thie stupid ass question its like asking for constants but it wants an answer without them

like i swear its asking for the setup

[sour dove]

no I

I'm pretty sure it's asking for the equation with k solved

[wary stream]

That's what it's asking for, set up the general equation

[quartz osprey]

oh

[sour dove]

because Q(t) is with respect to t, or time

[quartz osprey]

arg

alright 40=20e^k(20)

like that ?

=40

and i solve for k like that

[sour dove]

yes with the edit that's correct

and then you solve for k

[quartz osprey]

yea my bad for first oen forgto it

let me work on that

[sour dove]

no worries

[quartz osprey]

ln(2)/20=k

can i simplify that?

[sour dove]

not that I can see. Either use that or plug it in and give the proper amount of decimals.

[quartz osprey]

ok i see thanks

im not going to remember this for the test

😭

[sour dove]

nah you got this

just remember to look for clues in problems

things like "it doubles" or "the population decreases by a 20% at x time", etc

[quartz osprey]

idk what k even stands for lol

it just ssays its a constant

[sour dove]

k is just an unknown constant

yes correct

[quartz osprey]

oh

[sour dove]

basicially, in modeling in order to find things that "fit in" to your formula you derived, you have to find some value that it multiplies by (aka a constant)

consider y = (1/2)x [y = .5x]

1/2 is a constant

[tight locust]

i will not consider y = 1/2 x

[sour dove]

there lol

[tight locust]

i'm still not gonna consider it

[wary stream]

Or $$C =2 \pi r$$ where $$2 \pi$$ are constants

[ocean seal]

dldh06

[sour dove]

what if I gave you $3.50?

[quartz osprey]

ok i see kinda

[tight locust]

sure

[quartz osprey]

now it says solve for 1milion
dont i just set it = to 1 million
1000000=20e^ln(2)/20)t

500,000=e^ln((2)/20)t

ln both sides

ln(500,000)=ln(2)/20t

multiply by recripociol

wait no

idk what to do from here

[wary stream]

$\frac{1000000}{20} \neq 500000$

[ocean seal]

dldh06

[quartz osprey]

oh

[sour dove]

you're on the right track, though!

[quartz osprey]

50000

ln(50,000)=ln(2)/20t

multiply by 20t? would that be viable

[sour dove]

be careful with that. What you want is t * (ln(2)/20). The way you have it you're saying that it's 20t in the numerator, which is incorrrect

[shy lion]

After you get A_{mulch}, you'll still need to convert that into yards by dividing it by 3^3

[quartz osprey]

oh yea t is on the outside

[sour dove]

$1,000,000 = 20e^{\frac{ln(2)}{20}t}$

[ocean seal]

Bohemian_Jack

[quartz osprey]

cant i divide that entire thing out ?

[wary stream]

You need parentheses

[quartz osprey]

ln(50,000)=(ln(2)/20)t

[sour dove]

yep perfect. Now you can divide both sides to isolate t

[quartz osprey]

oki sec

[wary stream]

Or multiply by the reciprocal

[quartz osprey]

312.192

[sour dove]

that's what I got too

[quartz osprey]

lets GOOOO

[sour dove]

so basically what is this saying then?

[quartz osprey]

that in 312 minutes

the population will be 1 million

awesome thanks

i even get stuck doing basic derivitives i swaer

like wtf

for this to that

its like

400x is ez

the second part isnt for me though

[sour dove]

A little over 312 minutes to be precise 😉

[quartz osprey]

yea hah

[quartz osprey]

what i tried doing here is f=-0.01x^2 f'=-0.02x g=ln(x) g'=1/x

[sour dove]

or specifically about 312 minutes and roughly 12 seconds

[wary stream]

It's just product rule
If $$ y = f(x) \cdot g(x)$$ then
$$y' = f(x) \cdot g'(x) + g(x) \cdot f'(x)$$

[quartz osprey]

(-0.01x^2)(1/x)+(0.02x)(lnx)

[ocean seal]

dldh06

[quartz osprey]

yea im doing that rn but

idk why it look sso scuffed

[tight locust]

prove it

[wary stream]

Prove what exactly?

[sour dove]

what do you mean by "it looks scuffed?"

[sour dove]

I think he's just trollin' ya

[tight locust]

product rule

[compact meadow]

@shy lion

[wary stream]

Done

[quartz osprey]

uhh idk let me work it out little bit more

[sour dove]

man oh man I don't miss having to follow that in calc 1

I was so lost lol

[compact meadow]

How I calculate the volume

[quartz osprey]

xyz

[compact meadow]

??

[quartz osprey]

this combined i get -0.01x+0.02xlnx

[quartz osprey]

why do you ask this vague ass question and expect to get any answer

volume of what?

[sour dove]

Use Archimedes Principle: If an object is submerged in a liquid, the object displaces a volume of the liquid equal to the volume of the submerged object.

[compact meadow]

Thank you

[quartz osprey]

😒 my bad

[compact meadow]

I mean you responded to it

You ain't have to get all mad you could've just let it be lol

[sour dove]

Yep no worries!

The origin of that fact is kind of interesting too

Archimedes, the Greek mathematician, discovered the principle of buoyant forces while sitting in his bath tub. He discovered that the upward buoyant force on a submerged body was equal to the mass of the displaced liquid. The displaced volume is equal to the volume of the body submerged in the liquid.

[magic geyser]

eureka yes

[compact meadow]

And how is that vague ? You just hating lol

[compact meadow]

Damn that's tuff

[quartz osprey]

idk where that extra +x comes from

[sour dove]

So what do you get fully if you use the product rule?

[quartz osprey]

what i have is

[sour dove]

can you write it out for me?

[quartz osprey]

let me get on pain

sec

paint

[magic geyser]

In Physics, this Archimedes' Eureka moment is called the Archimedes Principle, which states that when a body is immersed in a liquid, it experiences an upward buoyant force, which is equal to the weight of the liquid displaced by the body. In fact, buoyancy explains why some objects float, and others don't.

[sour dove]

I feel you there. I love to get on pain

[sour dove]

Not quite

[quartz osprey]

where did i go wrong?

[sour dove]

give me one moment to write it out

[quartz osprey]

kk

[ocean seal]

Bohemian_Jack

Bohemian_Jack

[alpine sable]

$12:12 =?

[sour dove]

so what's the derivative of:
a) 400x
b) 0.01x^2
c) ln(x)

[quartz osprey]

400 0.02x 1/x

[sour dove]

yep! Now just plug those into where you derived them. What do you get?

[quartz osprey]

let me do that

400-0.02x(lnx)+0.01x^2(1/x)

[sour dove]

$400 - (0.02x)(ln(x) + (0.01x^2)(\frac{1}{x})$

so after the 400, do you see anything that we can factor out

[quartz osprey]

wait then where did i go wrong ?

[ocean seal]

Bohemian_Jack

[sour dove]

oh my b

you didn't

but you pulled out an x

[quartz osprey]

i did cuz

0.01x^2/x

should be 0.01x

[sour dove]

yeah you're right. My bad. I didn't see you pull that x factor out

so this is a proper answer.
$R'(x) = 400 - 0.01x(1 + 2ln(x))$

[ocean seal]

Bohemian_Jack

[sour dove]

but in the screenshot above you didn't factor out your x 😛

[quartz osprey]

wait i didnt

let me look

[sour dove]

Tagging so you can get to it

[quartz osprey]

oh i see

wait but there is an extra x

the +x

isnt that +x extra?

[sour dove]

you factored out the x in your handwritten solution

[compact meadow]

How do I get the density of something

Chemistry

[quartz osprey]

oh

[magic geyser]

Google

[sour dove]

There's a formula: Density is equal to mass over volume

[pseudo hearth]

hi i love u give admin

[quartz osprey]

thats waht im saying

[wary stream]

$$D = \frac{m}{v}$$

[ocean seal]

dldh06

[quartz osprey]

thanks again

alright now to get suck on somethign else lmao

[sour dove]

https://tenor.com/view/jake-the-dog-sucking-is-the-first-step-to-being-good-at-something-adventure-time-gif-8716053

[magic geyser]

imagine asking such simple question in discord instead of googling it

[wary stream]

That's honestly everyone who asks for a specific formula or a simple concept that Khan Academy explains well, in like 5 minutes

[magic geyser]

😂

[quartz osprey]

not wrong but khan doesnt answer specific questions

or it kinda does

since you dont need to ask them if you know how to do it

ig

[wary stream]

But the concept though

Like people have asked questions related to SOH CAH TOA many times and I just linked a Khan Academy video or Organic Chemistry Tutor video that shows examples

[compact meadow]

These big ass words 😂😂😂

[wary stream]

Which words?

Because there are no big words

[compact meadow]

Nvm I found that shit online 🔥🔥🔥

@sour dove thank you

[sour dove]

These are all probably just new concepts.

But they're fairly straight forward once you've had time to think about something.

For example density. The definition of density is the mass of the object divided by the volume of the object.

In other words, "how much does this mass take up in a space?"
So say you have a pound of steel, and a pound of feathers in a bag.
The steel will just be a tiny little thing, whereas the bag of feathers will be huge!
The steel is more dense.

[sour dove]

You're welcome!

[compact meadow]

Ohhhhhh

So the thickness ?

Cuz steel thicker than feathers

Thickness equals density

[sour dove]

I wouldn't use the term "thickness", as it's not quite that. Thickness is a different measurement

but I think your brain is on the right track 🙂

[wary stream]

Fun fact: Ice is less dense than liquid water even though ice is the solid version of water

[quartz osprey]

das why it floats on water

[compact meadow]

How is that possible

[wary stream]

Science

[sour dove]

same principle!

Remember that density is mass over volume.
As ice freezes, it "spreads out" (I know I'll get roasted for saying that, but I'm trying to keep the example simple)".
In other words, the volume increases

so because it's less dense than the water itself, it floats 🙂

[compact meadow]

Ohhh ok

So more spread out ?

[placid zinc]

Note that water is special. Most fluid/solid combos don't act like this.

[sour dove]

good point. @compact meadow as you study chemistry you'll find out just how special water is. It's a whacky thing

[compact meadow]

Ohhh ok

[placid zinc]

You'd expect, since atoms are slowing down, that they get closer together and density goes up. That's true for most things. Water doesn't play by your rules, though.

[wary stream]

4 degree C is the temperature at which liquid water has the highest density, that's another fun fact

[sour dove]

What @placid zinc said. Basically in liquid form, water molecules are just kind of taking up whatever space their container is (container can be things like a lake, a cup, a bathtub, etc).
When it freezes, it creates space between the molecules (like in the photo)

[glacial tiger]

having trouble on this question…

[wary stream]

,rotate

[wary stream]

Apply concepts of vertical angles and sum of angles on a line equals 180

[queen bobcat]

So i have to graph a scatter plot, most of the data is between 7 and 31 but i have one point at 300, what increments should I go by?

[glacial tiger]

i have this currently

[wary stream]

,rotate

[glacial tiger]

i tried plugging it in and got weird numbers i don’t r forever

correct*

[shy lion]

Pressure affects water's pressure states. Lower pressures raise the freezing point and higher pressures lower it.

[wary stream]

Plug in the known expressions, simply, if necessary, then elimination/substitution to find the value for x and y

Using the first two lines is what I mean

[kind crest]

Is someone willing to answer my question

[alpine sable]

Which is

[glacial tiger]

i don’t think i did this right

[sour dove]

You never asked a question my dude

oh there we go

do you have a definition of f(x)?

like above in text or a previous problem?

[sour dove]

so what is this function?

[wary stream]

Homework or test?

[sour dove]

f(x) = ?

[kind crest]

It’s practice

For extra credit

[glacial tiger]

if it was a test i think they would have some blocker or sum

[kind crest]

Idk tbh jack

[sour dove]

have you learned about absolute value?

[wary stream]

The other thing to note is, have you learned about function transformations?

[kind crest]

I think awhile ago

[sour dove]

yeah good point, should be asking that question first.

[wary stream]

Because that chart is very helpful

[kind crest]

I’ve never been good with graphs tbh

Idk why

[sour dove]

practice makes perfect! 🙂

but you just have to break it down, piece by piece

[kind crest]

So the f represents the function or no?

[wary stream]

f(x) represents the function

[kind crest]

So since it’s set up like this it would move to the left?

[wary stream]

Yes, by how much?

[kind crest]

2

Right?*

[wary stream]

Yes

Now, what does the + 1 represent?

[kind crest]

Going up?

By 1?

[wary stream]

Yes

[kind crest]

So what does the 2 mean

Or behind f

[wary stream]

Refer to the chart I posted

What does the two mean?

[kind crest]

Stretch

So would the graph in the end look like that

@wary stream

[worldly breach]

can somebody help me with this question????

,rotate

[kind crest]

@sour dove

[vapid oak]

what does cos do in an equation

[lime tangle]

wdym

[vapid oak]

like the cos of 180

[lime tangle]

oh

[vapid oak]

what does that mean

[lime tangle]

do you have a unit circle with you?

[vapid oak]

yea

[lime tangle]

go at angle 180 at the unit circle

[vapid oak]

ohhhh

[lime tangle]

and the x value at 180 is your cos(180) value

what will it be?

[vapid oak]

-1

[lime tangle]

good

[vapid oak]

how would you do that in your head

[lime tangle]

just keep doing problems

[vapid oak]

ok

[lime tangle]

like

lets say teacher asks for cos(90)

or sin(90)

[worldly breach]

@lime tangle can u help me with that?

[lime tangle]

sure

[lime tangle]

yeah so just keep doing problems. the more problems you do, the more you will memorize the unit circle. however, i am pretty sure u will be allowed one on the test.

[vapid oak]

ok

[lime tangle]

there is also a pattern in the unit circle

see if you can find it

[vapid oak]

it looks like if you go across it is like rotating on a grid

[lime tangle]

you can technically know the unit circle by drawing one quadrant

[lime tangle]

yes

[kind crest]

@lime tangle could u help me with a question

[lime tangle]

sure

[worldly breach]

<@&286206848099549185> anyone can help?

[frank bane]

delta math 🤮

[kind crest]

Knewton Alta

[worldly breach]

this channel is occupied

[lime tangle]

looks like an absolute function to me

[frank bane]

looks like delta a little

[kind crest]

Right

And it says I need to graph the points

[lime tangle]

below it says by moving dragabble points what does that mean

[kind crest]

Well you see how there’s points in the image

You can click and hold them and drag them

It’s basically the same as just regular points

I just need to figure what the points are

[lime tangle]

hm

does the f(x+2) mean anything

to me it looks like

[kind crest]

2 to the left

[lime tangle]

y = 2 time f of (x+2) + 1

it says in the table there

a(f(X)

means

(x,ay)

[kind crest]

Ok

So how would the points come

[lime tangle]

you know a is 2

[kind crest]

Yep

[lime tangle]

so

umm

lemme think now

[kind crest]

It’s a vertical stretch

I think

Since a is greater then 2

1*

[lime tangle]

yes

it is a vertical stretch

[kind crest]

Vertical stretch 2 units to the left one unit up

That’s what I know

[lime tangle]

what points does the graph give

the draggable points

how many do they give

[kind crest]

0-10

Just a graph like that

[lime tangle]

cuz i was gonna say plug in random x points

[kind crest]

But no specific points

[lime tangle]

because you know x point will always be the same

and y point will change

because its times a

[lime tangle]

i see

[kind crest]

That’s how it came

[lime tangle]

here is what i see

af(x+c)

which means ur points will be

[kind crest]

Af(x+c)+d

[lime tangle]

or that

[kind crest]

The d is 1 I think

[lime tangle]

yes

[kind crest]

So one point would be (0,0)

The vertex

Then I go about doing the steps

Like

2 to the left up 1

?

[lime tangle]

hmm

[kind crest]

Idk wtf I’m doing

Chegg doesn’t even have this question

[lime tangle]

well tbh w u ive never done this in my life im just trying to look at the table u gave me and follow the rules like that

and so far what i see

is two rules

af(x)

and

f(x+c)

and yes, i also see the other one

f(x)+d

which means ur points are gonna look something like this

so following this format

$af(x+c)+d$

that means that

[ocean seal]

IAMTHEFARMER

[lime tangle]

a = 2

c=2

d=1

therefore your points will look like

(x-c, ay+d) or (x-2,2y+1)

[vapid oak]

is sine just the y value on a unit circle

[lime tangle]

yes

[kind crest]

😭

[lime tangle]

(x-2, 2y+1)

is what i seee

let me <@&286206848099549185> to see if anyone know how to do it more fluently

[kind crest]

<@&286206848099549185>

Please

[lime tangle]

cuz i am not very qualified in this stuff somebody else will know it 10x better than me

[lime tangle]

is this calculus

what u r learning now

seems like cal

but like cal 2

[kind crest]

College algebra

[lime tangle]

college alebra holy shit

[kind crest]

💀

[lime tangle]

this shit hard lol

[kind crest]

Yeah ik

I’m a freshman in college and idk wtf I’m doing

[lime tangle]

i suggest you post your question again

so the helpers can see

[kind crest]

<@&286206848099549185> please help me

[quartz osprey]

just plug in points

[limpid flicker]

how do you solve this?

[quartz osprey]

isolate k in all of them

so the k-1 one

k=1

[winter loom]

Is the number -5,890 rational or irrational and how do you know?

[glass lichen]

what do you think?

[winter loom]

i think

i thinkkkkkkkkkkkkk

its irrational

[glass lichen]

also -5,890 as in negative 5 thousand or -5 and decimal?

ok... why?

[warped hare]

guys
I have the SSAT exam tmr
i havnt rlly studied
help
dm me pls

[torpid estuary]

rational, it can be expressed in the form x/y

[winter loom]

becauseeeeeee

[glass lichen]

dont give answers

[quartz osprey]

why would anyone hlep you if you havent helped yourself

[kind crest]

@lime tangle

I got it

[shut scaffold]

specifically and roughly used in the same answer

[torpid estuary]

sorry

[shut scaffold]

🤔

[winter loom]

o

[warped hare]

i tried

[glass lichen]

sucks to suck... go study

[quartz osprey]

try harder?

[warped hare]

i had 5 weeks study

[torpid estuary]

sry man not our fault

[quartz osprey]

doesnt look like you used teh 5 weeks

[warped hare]

Bruh

ye thats mb

[torpid estuary]

do better next time XD

[quartz osprey]

anyways how would i go about finding g/day is it just derivitive of Q?

[warped hare]

imma go sweat my balls off and study

thx

[shut scaffold]

😂

Subject SAT exam?

[warped hare]

no

[shut scaffold]

I know that calculator and non calc in the general SAT are easy

[warped hare]

Secondary school

[quartz osprey]

i think sat goes up to algerbra 2

[shut scaffold]

Idk what SSAT means

[quartz osprey]

subject?

[shut scaffold]

or did you mean sat

He said it's not that

[quartz osprey]

oh

whatever goodluck homie

[warped hare]

k

[shut scaffold]

https://www.youtube.com/watch?v=1lI_P-7zgAU

[warped hare]

thx

[shut scaffold]

I just watched the vid

You'll be fine

[warped hare]

k

[quick latch]

how would i solve this

[shut scaffold]

looks like scale factor maybe

I got an answer that's listed there

[quick latch]

so to find EG should I set up something like 8/16=15/x

oh actually there would be no point in doing that

[shut scaffold]

Basically you know the length of AB

What is it

I'll just tell you what I did

AB = 21

[quick latch]

I should just do 8/16=(8+7+6)/x

[shut scaffold]

And AD = 8

So you get 21/8 for your scale factor

Because AD x 21/8 gives AB

So you do AE x 21/8

Which is 16x21/8

Which gave me 42

You can do that because they're all parallel to each other

[sour dove]

What can I say? I like to live fast and loose

[quick latch]

I did it very differently but also got 42

[shut scaffold]

big boi 💪

[shut scaffold]

I respect that

[quick latch]

That's what I did

[shut scaffold]

Yeah that makes sense as well

If you were taught that method then use it

I just worked it out based on logic and some intuition

[quick latch]

I wasn't taught it that way I don't think I just didn't know what to do and then you said scale factor and it made me realize what to do

[lime smelt]

u guys got any good YouTube videos for algebra 2

[shut scaffold]

^

I just sent someone that

It's for the SSAT

[quick latch]

It's like question 9 on the practice ACT so I have no idea when I learned it but it was probably a really long time ago

[quartz osprey]

how do i find g/day

[lime smelt]

im learnin algebra 2 by myself so

[quartz osprey]

so what i did

is

0.27=m0e^-0.00012t

ln0.27/-0.00012

and its wrong

[shut scaffold]

looks like a chain rule question again

u = (ln0.5/14.2)

and y = 150e^ut

[quartz osprey]

so its just the derivitive of what i got first?

[shut scaffold]

yes but sub in 13.6 for 6

t*

[quartz osprey]

i mean doesnt it just dissapear cuz of derivitve anyways

[shut scaffold]

hmm I'm not sure if you sub in before or after differentiating

and I'm also not sure why im helping at u 3:20 am

[quartz osprey]

i kinda have no idea how to take derivitve of that is it f= 150e^x and g is ln(0.5)/14.2)t

[shut scaffold]

when i need to wake up in 3 hours

[quartz osprey]

lol

goto sleep then lol

[shut scaffold]

yeah gn

[quartz osprey]

gn

[lethal prawn]

Am I doing this correctly? Transferred to a new school so I missed all the lessons lol

I just need to know if it's right or wrong

Not the answer

[eternal crest]

Does anyone know an equation of a number that I should use for the x in Newton’s Method of Square Roots?

[lethal prawn]

Dude this channel is in use

<@&286206848099549185> just a little bump

[eternal crest]

Oh I thought you were supposed to say that after a couple minutes

Like in rules or something I swear it said that

[lethal prawn]

You ping helpers after 15 minutes

[eternal crest]

Well I guess I might’ve gotten a head start 🤷‍♂️

[lethal prawn]

Do you know the answer to my question btw

[eternal crest]

Absolutely no idea

I’m a sophomore and I might be dumb for my age

[lethal prawn]

I'm a sophmore too

I just missed the lessons

[eternal crest]

Sucks bro

I’m doing trig rn in my classes

[lethal prawn]

Interest over here

[eternal crest]

Danggg that’s rough

[lethal prawn]

It's close to midnight

Really need to know this before tomorrow

Tuesday by the latest

I just don't want to stretch my luck

[eternal crest]

Maybe ping in a different chat

I kinda messed this one up

[lethal prawn]

Meh they don't seem to be responding

I'll find another way

[eternal crest]

Alright gl

[sick torrent]

For the first line why is the (y’) there?

<@&286206848099549185>

[brave aurora]

@sick torrent cause its implicit differentiation

[sharp barn]

erm quick question (if this channel is free) is the answer for x= 1/7?

[sick torrent]

I don’t understand

When is it that you need to add y’

[brave aurora]

plug it into your calculator?

[brave aurora]

cause you took the derivative of -2y^3

y'= dy/dx

[sick torrent]

How come the it’s not just -6y^2

[brave aurora]

cause you're differentiating y with respect to x

idk how to explain it lol

[sick torrent]

Oh

[brave aurora]

whenever you see implicit differentiation mentioned, just remember to also differentiate y

[sick torrent]

So every derivative of y will have y’ in the end?

[brave aurora]

yee

[sick torrent]

ThNk u

[sharp barn]

did i do sumthing wrong?

[sharp barn]

erm

[brave aurora]

oh youre tryna find x

[sharp barn]

yeah

[brave aurora]

plug it in and see if the left hand side equals the right hand side

[sharp barn]

erm basically solving it

[brave aurora]

the answer isnt 1/7

[sharp barn]

hmm then what idid i do wrong?

[toxic dock]

think of them as subtracting actually

since theyre all at a base of 3?

their exponent values should be subtracting no? so 6x - (5 -x) or 7x-5 = 2x + 1 - (2x + 6) or -5

7x = 0

[sour dove]

6-6 is not 1, 6-6 = 0

[sharp barn]

oh yeah

[toxic dock]

that is... also true

[sharp barn]

x=0?

[sour dove]

so the answer should be x = 0 🙂

perfect!

[sharp barn]

oh so my working up until then is correct?

[sour dove]

@toxic dock's method works great too. You can either cross multiply or subtract the exponents when your base is the same

[sour dove]

yes!

[toxic dock]

:D

[sharp barn]

is subtracting easier?

[toxic dock]

but i get a different answer D:

[sour dove]

$\frac{a^{b}}{a^{c}} = a^{b-c}$

[ocean seal]

Bohemian_Jack

[sharp barn]

oh alright guys thank you very much

[sour dove]

either or

[sharp barn]

yeah that i know

[toxic dock]

can you plug in 10/7

[sharp barn]

so a dont need to minus with a?

[toxic dock]

and let me know if that works

no no

thats the rule of dividing exponents with same base term

[sharp barn]

if different term?

[toxic dock]

then you cant

or

like your question

you force same term

[sharp barn]

if u cant force it to same term?

[sour dove]

6x - (5-x) = 2x + 1 - (2x + 6)
6x - 5 + x= 2x + 1 - 2x - 6
7x -5 = -5
7x = 0
So your RHS should've been -5 🙂

[toxic dock]

for questions like this, you'll never be given numbers that cant simplify to same base term

because you have to equate the exponents to eachother to solve for X

[sharp barn]

oh alright thank you very much

[toxic dock]

yezzirrrr

[quartz osprey]

how do i even do the other 2 lmao

like

i know inflection point is when second derivtive = -

0

i dont really know how to find the second derivtive in all these constants though

[sour dove]

if it helps use real values and just sub the letters back in

but it's a biiiiig ol chain rule

[quartz osprey]

yea lol

i kinda dont know where to get started

[sour dove]

give me moment, I'm working it out lol

[quartz osprey]

will it be like Ce^-Ae^-kt *-Ae^kt *-kt or something like that

[sour dove]

oh I think I see where you went wrong

you were close though

can you try plugging in t = ln(A)/k ?

[quartz osprey]

sure sec

its still wrong but

can you show me how you even got there

cuz i kinda

lol dont know

like i know there s a shit load of chainrules

[sour dove]

so can you give me what you got for your Q''(t)?

[quartz osprey]

i got 1/k ln(1/A)

[sour dove]

no no sorry like for the whole formula

[quartz osprey]

yea i didnt do that lol

[sour dove]

oh lol

[quartz osprey]

i just followed the video

yea i kinda have no idea how to do that

so

lol

[sour dove]

okay

this might take a second to write out so bare with e

*me

[quartz osprey]

kk thank you sm

[grim grail]

what are the equivalency statements?

Not sure where I can find this information

[ashen anchor]

google?

https://textbooks.math.gatech.edu/ila/invertible-matrix-thm.html

[quartz osprey]

lol

[grim grail]

Thanks i wasnt sure if thats they were called or if my teacher was just calling them that

[brisk sentinel]

How would I set this problem up

[sour dove]

hey man I'm sorry, I don't think I don't have the will to write this all out on text.
I'm writing it out on my ipad so I'll try to get it to you

[brisk sentinel]

oh is this chat in use?

[sour dove]

nah go ahead

[toxic dock]

Literally just plug in 0

To t

So it’d = -2/2

[brisk sentinel]

ok thank you

[toxic dock]

Which simplifies to -1/1 which is really just -1

Ye

[normal chasm]

someone explain this to me, please

[sick torrent]

I don’t understand why this is wrong

[toxic dock]

Bruh

[raw shard]

that is a lot

[toxic dock]

I want to answer both of you so bad but I’m in the middle of an essay and keep getting distracted

[normal chasm]

finish your essay first!!!

[sick torrent]

😞

[fresh parcel]

which part is wrong

[sick torrent]

The first red

Like 2x^2 y’ + 4xy y’ +1 it’s supposed to be 2x^2 y’ - 4xy y’ +1

I just don’t know why it’s minus instead of plus

[devout summit]

These are three concurrent lines so, third line passes through intersection of two.

[fresh parcel]

hm

im not sure either

mb

[normal chasm]

how would i find the value of p? im sorry but i dont understand

[devout summit]

You get some solution (x,y) by solving the first two equations and then subbing that in third equation to find p.

[eternal crown]

Every summer, Lea always finds time to plant in her garden. This year, she wants to plant 54 sunflower plants, 72 corn plants, and 63 tomato plants. If she puts the same number of plants in each row and each row has only one type of plant, what is the greatest number of plants she can put in one row? *
1 point
A. 3 plants
B. 6 plants
C. 9 plants
D. 18 plants

[normal chasm]

ohhhh thank you so much!

[normal chasm]

which method would i use? elimination?

[hexed lintel]

A man sold two bicycles for ₹6000 each, gaining 20% on the one and losing 20% on the other. Find his gain or loss percent on the whole transaction.

[rich gorge]

hi guys, I need help with this one

[devout summit]

Whatever you’re comfortable with. You could write in terms of y and substitute or yeah elimination

[sour dove]

@quartz osprey I'm sorry this took so long. I think I had a brain fart.

I think your issue was your reciprocal flip for A

which, in turn, makes me realize how much time I wasted to try to figure that out...

for part c, I think you might've forgotten that something a^0 is 1, not 0, but that's just a guess

[runic timber]

can som1 explain 3b to me?

[hexed lintel]

py

[robust flax]

how can i calculate this?

[fleet pollen]

what is Weighted Frequncy in data management?

[minor anchor]

Idk about the second part but for the first part I think just solve dy/dx=(e^y)(x^2) as a differential equation

like put the x's and y's on different sides then integrate both sides

[robust flax]

integrate?

i thought we dont need it for this

[quartz osprey]

your efine thanks for taking your time on this

[minor anchor]

to solve differential equations (DE) (where there is only multiplication/division, no addition subtraction) you put the y with the dy and the x with the dx, then integrate each side to find the family of equations that go with the DE

[sour dove]

if I recall correctly, you find the magnitude of your direction vector, then multiply it by the gradient (aka the partial derivatives at thos points)

[robust flax]

i am trying to substitute into this definition

[sour dove]

so df/dx = 2xe^y and df/dy = (x^2)(e^y)
The magnitude of your direction vector is sqrt(1^2 + 2^2) = sqrt(5)
so then it'd be sqrt(5)(2x*e^y)i + sqrt(5)(x^2 * e^y)j at the point (1,0)

[robust flax]

so the limit of $f((1, 0) + h(1,2)) - f(a)$ divided by $h$

as h approaches 0

[ocean seal]

r34v

[sour dove]

but it's been a min so don't quote me on that

wait nvm lol.
The directional derivative is $\frac{\partial f}{\partial x}\hat{u_x} + \frac{\partial f}{\partial y}\hat{u_y}$

[ocean seal]

Bohemian_Jack

[restive hill]

Hi can anyone help me?

[ashen anchor]

i solved this

but what have you done so far @runic timber

[sour dove]

where $\hat{u} = <\hat{u_x}, \hat{u_y}>$

[ocean seal]

Bohemian_Jack

[robust flax]

i tried plugging into calculator but it dosnt match this exampe

[mint fulcrum]

quick question, how do you solve this without losing accuracy on the answer? How do you keep it precise?

[mint fulcrum]

<@&286206848099549185>

https://media.discordapp.net/attachments/885968557169606706/899517511177994280/image0.jpg?width=2038&height=1064

[placid zinc]

Would appreciate not pinging helpers over a troll question

Codek

[mint fulcrum]

actually, it's not a troll question

[mint fulcrum]

i'm trying to prove a point to someone

that i'm right

[placid zinc]

That you're right about what?

[mint fulcrum]

ok so imma explain. this person thinks that just using 2.718 and getting the answer in decimal form is just as accurate as keeping e the way it is (after simplifying)

https://media.discordapp.net/attachments/885968557169606706/899519453711200296/unknown.png

[upbeat wing]

it's not, i'm getting the ans as 6,606.08

[mint fulcrum]

this is what I came up with

[mint fulcrum]

im arguing that this is more accurate

because we don't cut off an irrational number

[upbeat wing]

no, we always use approx. values to solve these questions like e=2.718 and pi=3.14 when we solve a question

[mint fulcrum]

you're killing me right now babe 😂

[jade ice]

<@&286206848099549185> help me pls what to do here adition? Subtraction? (Number 4)

[ashen anchor]

so... they're saying to calculate using e as 2.718?

[mint fulcrum]

yeah

but it's less accurate

[upbeat wing]

i'm not your babe

[mint fulcrum]

is what i'm saying

[placid zinc]

So? It sounds like it doesn't matter

[upbeat wing]

it doesss, i think the ans is 6,606.08

[jade ice]

Pls stop fighting

[upbeat wing]

not his simplification

[placid zinc]

I don't see why we're calculating "I love you" anyway

[jade ice]

I need helo

[rapid verge]

stop interrupting

[jade ice]

What am i

[rapid verge]

#❓how-to-get-help

[upbeat wing]

it's not ily

oh got it's an equation

just slove it

[mint fulcrum]

it's not an equation though

[alpine sable]

Where?

[placid zinc]

Pretty well known math meme

[upbeat wing]

just ignore that and solve it

[ashen anchor]

i thought they were trolling, that is clearly the i love you meme

[mint fulcrum]

we know it is the meme

but

we're trying to get the simplification to that

https://images-ext-1.discordapp.net/external/FWihiMgg1BrrVicqH2rRPPTyxArsMptz3zE91VuIRQk/https/media.discordapp.net/attachments/885968557169606706/899519453711200296/unknown.png

@upbeat wing cope

[alpine sable]

Can you explain please?

[upbeat wing]

and to do that you'd take e=2.718

[alpine sable]

Oh NVM.

[mint fulcrum]

NOOO

[placid zinc]

Okay, so there's an error value when only considering e = 2.718. I'll call it ε.

[upbeat wing]

you'll simplify it further

[gray isle]

leave e as e unless told otherwise

[mint fulcrum]

yeah

[alpine sable]

I hate whoever wrote e^980 as e980.

[mint fulcrum]

YEAH

omg

the meme is a meme, but doing that is just a sin

[alpine sable]

Exactly.

[ashen anchor]

what exactly are you asking?

you can just expand some kind of error composite term to see if accuracy is lost

[alpine sable]

Why are you cringe?

Lol

[ashen anchor]

its in my bio :p

[placid zinc]

A perfect calculator wouldn't lose accuracy over that simplification. The problem is, you're not using a perfect calculator, and I don't make calculators

So I'm not perfectly sure how doing ^980 and then √ might affect it, over just doing ^490

[ashen anchor]

wait that's what they are asking?

[placid zinc]

Well, I'm not certain kek

[ashen anchor]

a calculator will definitely have some floating point overflow error when calculating such a large power

[gray isle]

depends on the calc and how it stores values ig

[ashen anchor]

then depending on the algorithm used for square roots, even more information can be lost

[placid zinc]

Because now Rovic doesn't seem to care over "just leave it as e"

[mint fulcrum]

yeah

i said leaving it as e is more correct

but @upbeat wing disagrees

[ashen anchor]

as opposed to using 2.718?