help-0

[oak chasm]

You're talking about problem 3, right?

[alpine sable]

Yes

[oak chasm]

No, it's definitely not a rectangle.

A rectangle has all four angles as right angles.

Problem 3 doesn't have that.

Problem 3 is a trapezoid.

Does that make sense?

[alpine sable]

Yes, then I have to split the figure and then subtract them?

Like this

¿?

[oak chasm]

Yes, you can do that.

Or you can recognize it's a trapezoid.

And use the trapezoid area formula.

A trapezoid is a four-sided polygon with two sides parallel to each other.

[ocean seal]

Chai T. Rex

[oak chasm]

It's like the triangle formula, except you add the two parallel sides.

[alpine sable]

Ok, I'll try to do it.

Thx u

[hybrid pike]

@oak chasm I'm stuck

[oak chasm]

@hybrid pike On what?

[hybrid pike]

This

[oak chasm]

What's the square pyramid volume formula?

[oak chasm]

Good, so fill in the side length to a and the height to h.

[hybrid pike]

Can you show me how to do it?

Sorry I was on it for some time

[oak chasm]

How to fill in variables with values?

[hybrid pike]

Yeah

can you type it

[oak chasm]

Oh, I see. It's a bit different.

The perimeter of a square is four times the side length.

[ocean seal]

Chai T. Rex

[oak chasm]

@hybrid pike

[hybrid pike]

hey

4?

@oak chasm

[ocean seal]

Chai T. Rex

[oak chasm]

@hybrid pike Do you see how I replaced a and h with the value in parentheses?

[hybrid pike]

I see

[steep steeple]

hey is this channel open?

[hybrid pike]

So, then the answer is 4, right?

[steep steeple]

can some1 hhelp

on this

[oak chasm]

@hybrid pike No.

@steep steeple Sorry, channel is still busy.

@steep steeple Try #help-7｜zen1thxyz if you hurry.

[steep steeple]

not in a hurry

but i would like to move on to another problem

can u ping me once this channel is free

[hybrid pike]

hmm

86.4?

[oak chasm]

@hybrid pike Yes.

[hybrid pike]

241.3?

[gloomy hazel]

is this channel open?

for question?

[heady crest]

https://www.youtube.com/watch?v=R4xwl5r3q3k

[hybrid pike]

is this right?

[oak chasm]

Looks good.

@gloomy hazel Sorry, channel is busy.

[hybrid pike]

ok

@oak chasm

I'm stuck

[steep steeple]

is this channel free now?

[hybrid pike]

not yet sry

[steep steeple]

can i ask my question cuz i gotta go soon?

since it's pretty late

if u dont mind

[hybrid pike]

1142?

[hybrid pike]

ok

[steep steeple]

does anyone know how to solve this type of question?

[hybrid pike]

It's right

[steep steeple]

i think i have an answer but need confirmation

[alpine sable]

you already posted it on #help-7｜zen1thxyz

[steep steeple]

yea but no one was there to respond

[alpine sable]

#❓how-to-get-help

[cinder lily]

who knew cats could be so intimidating

[hybrid pike]

https://tenor.com/view/relax-cat-massage-gif-5450331

[alpine sable]

first of all find the volume of the rectangular prism

then multiply it by average lbs/ft^3

that's all

in addition rectangular prism is cuboid

[hybrid pike]

@alpine sable Can you do it? I have infinite questions, so I can do the rest by your example

[alpine sable]

i'm not calculator sorry

so mundane

i only can give you guidance

[hybrid pike]

There is a bot for discord, where it lets you use a calculator

I just don't know how to use it

[alpine sable]

not calculator strictly for measuring the volume of the rectangular prism

[hybrid pike]

13x9x4

= 468

[alpine sable]

then

[alpine sable]

as i mentioned

hence.....

[hybrid pike]

how do i do that>?

sorry

[alpine sable]

keep this fact to you @hybrid pike

[ocean seal]

mniip but cuter

[hybrid pike]

0.63/468 x 468^3?

[alpine sable]

no

what is the unit of the volume

and what is the unit of .63 which is the average weight

@hybrid pike

[hybrid pike]

hmmm

weight?

[alpine sable]

no

i mean weight over volume

@hybrid pike

[hybrid pike]

oh

[alpine sable]

all g

????

[hybrid pike]

I hope so

[alpine sable]

good

have a nice day

[hybrid pike]

0.63/468 ?

[alpine sable]

no

[hybrid pike]

Wait, you're leaving>

sorry bothering u

[alpine sable]

this

[hybrid pike]

0.63 is the weight

[alpine sable]

no

[hybrid pike]

468 is the volume

[alpine sable]

.63 is weight over average

[hybrid pike]

oh

[alpine sable]

yes

hence......

i mean

uhhh

therefore????

[hybrid pike]

?

[alpine sable]

so what is the weight??

am i long winded????

[hybrid pike]

idk

[alpine sable]

[hybrid pike]

like tall?

[alpine sable]

no

SMH

[hybrid pike]

fr?

oh, my bad

[alpine sable]

got it???

all good????

[hybrid pike]

I don't think so, sorry

12x 13.5 x 15 = 2430 ft^3
0.47* 2430
=1142.1?

@alpine sable

[alpine sable]

[hybrid pike]

[alpine sable]

yes

for the previous one

all good

???

alright

hope you understand

thank you so much for coming to my ted talk

[hybrid pike]

lol

Have a good day

sorry for bothering u

[alpine sable]

u2

nvm

no worry

that's 1 minute see you tomorrow

Brh

I just wanna watch anime

ANYONE KNOW?

[hybrid pike]

same

[alpine sable]

But ive watched all of MHA

[alpine sable]

same

[hybrid pike]

I hate nas daily

[alpine sable]

Its over for now and i need more

[alpine sable]

same tbh lol

i watched tons of times cause i'm addicted to it hence that's destructive

[hybrid pike]

He's Palestinian, but he doesn't care to inform the people of the situation

Not t he 60 laws against the Palestinians

or the stealing of homes under international law

[alpine sable]

#chill

[hybrid pike]

True my bad

[hard compass]

I can help

both x+14 and 2x-6 are equal to each other because they are vertical angles

so write it as x+14=2x-6 and isolate the variable like so:

x+14=2x-6
-x -x

14=x-6
+6 +6

20=x AKA x=20

Does that make sense?

[alpine sable]

Yes 🙌

[hard compass]

Glad I could help!

[alpine sable]

GENUIS 😩

[alpine sable]

🛑 don't give out solution

[hard compass]

I wanted to walk them through the problem so they could see the full method of solving

[alpine sable]

give them guidance, clue, or something like that

[hard compass]

I see what you mean though

[alpine sable]

i reckon they might probably copy what you wrote recently

I won’t

I just needed some clarification

[hard compass]

Well I hope you understand it better now, sorry I violated academic integrity there lol that wasn't my intention.

[alpine sable]

ok so next time don't do this again

[hard compass]

Affirmative

guidance/clue, keep that on a post-it note somewhere.

[harsh sigil]

how does this look

[hard compass]

are those linear functions?

Im still learning functions myself so I wouldn't be of much use

[harsh sigil]

yeah

[hard compass]

yeah functions are painful

[gloomy hazel]

can somone help me on this question and this question

I am pretty confuse what is going on

[hard compass]

Unfortunately that is way out of my league

ask around a bit, bound to be someone who can help you out.

[alpine sable]

Is Y = 10 ?

[grizzled solstice]

how do i do part ii ?

[glacial hedge]

@grizzled solstice do you know remainder theorem

[gray isle]

yes, y=10 is correct

[grizzled solstice]

yes

wait i meant i*

[leaden barn]

Whoops

Hope you didnt submit that

[glacial hedge]

@grizzled solstice so i assume you solved part i

[alpine sable]

No

[grizzled solstice]

no 😭

[glacial hedge]

oh

[grizzled solstice]

i got confused since there’s a k

[glacial hedge]

yeah

so basically

f(x)/x-k has remainder f(k)

*remainder theorem

since we know the remainder

we know f(k) = 9

[grizzled solstice]

ohh

[glacial hedge]

that is $2k^3+9k^2+7k+3=9$

[alpine sable]

Never watched Elf 🤔

[ocean seal]

Elonmosqito96

[hard compass]

what is the remainder theorem?

out of curiosity

[glacial hedge]

the remainder of f(x)/x-a is f(a)

[grizzled solstice]

something related to polynomials

[glacial hedge]

dude

@tardy crown this chanell is being used

[tardy crown]

oh im new soz

[glacial hedge]

its fine

ok so @grizzled solstice do you understand part i

[grizzled solstice]

is it like this ?

im still confused im sorry 😭

[glacial hedge]

wait wha? is this for part i

[grizzled solstice]

yes

starting from f(x)

[glacial hedge]

not quite

ok lemme start over

its given that f(x)/(x-k) = 9

sowwy

the remainder

[grizzled solstice]

yes

[glacial hedge]

and the remainder theorem states that the remainder of f(x)/(x-k) is f(k)

hence we know f(k) = 9

does this make sense

[grizzled solstice]

basically the value of k is 9

[glacial hedge]

not quite

f(k) is 9

[grizzled solstice]

oh

i see

[glacial hedge]

and plugging k in for x you get

$2k^3+9k^2+7k+3=9$

[ocean seal]

Elonmosqito96

[glacial hedge]

the textbook then subtracts 9 from both sides to get the equation they have

does this make sense?

[grizzled solstice]

ohhhh

YES i understand

thank you!

[glacial hedge]

@grizzled solstice can you do part ii now?

[earnest copper]

can someone help me

I do not know how to simplify

[glacial hedge]

@earnest copper expand the left side

[earnest copper]

ok then do I put all x or d on one side

[glacial hedge]

then you put all x on one side

$-3d + dx = kx +9$
$-kx+dx=3d+9$
$x(-k+d)=3d+9$
$x = (3d+9)/(d-k)$

[ocean seal]

Elonmosqito96

[glacial hedge]

ahhhh

its all on one line

[grizzled solstice]

yep

[glacial hedge]

$-3d + dx = kx +9$

[ocean seal]

Elonmosqito96

[glacial hedge]

$-kx+dx=3d+9$

[ocean seal]

Elonmosqito96

[glacial hedge]

$x(-k+d)=3d+9$

[ocean seal]

Elonmosqito96

[glacial hedge]

$x = (3d+9)/(d-k)$

[ocean seal]

Elonmosqito96

[earnest copper]

Ohhh dang I forgot about doing the parentheses

ty I get it now

[glacial hedge]

your welcome

[kind eagle]

I've got an axiom:
"Let the Fibonacci sequence be defined as F1 = 1, F2= 1, Fn = F(n-1) + F(n-2).
(The formal definition of the Fibonacci sequence)
For every Fibonacci number Fn where n > 5, there exists at least one prime p where F(n-1) < p < Fn."
I've used a program and this checks out for the first 10000 primes.
Knowing that prime numbers occur pretty randomly, could this be proven?

[jolly moon]

can someone help me with some math that is due in 1.5 hours, i just need some help

[brisk pawn]

https://dontasktoask.com

[patent python]

ok so im struggling with another question ( again ), essentially i need to find the coordinates of point B

i found both slopes

for AC and BD

as well as the intersection (E)

but idk how to find the coordinates of point B

[rigid smelt]

Is the line BD perpendicular to AC?

[patent python]

yes they are

considering there was a 90 degree angle i forgot to include

they also noted that trigle ABC is isometric to triangle ACD

triangle*

[rigid smelt]

Oh wait nvm, that was an unecessary question since you know the slope of BD anyway

So since you know the slope of BD and you know the coords of D

Just plug in the slope formula and solve for B

[patent python]

i have no coords for it though

i have no X or Y

therefor cant isolate

[rigid smelt]

Oh ABC is isometric to ADC, so your first equation is derived from the slope of BD. And your second equation should have something to do with the length of BC

Find the length of CD

That should also be the length of BC

Now you have two equations

[patent python]

not sure to understand

[rigid smelt]

Can you find the length of CD?

[patent python]

yes

what kind of formula am i going to put it into though?

[rigid smelt]

Distance formula?

[patent python]

ohh

so i do

[rigid smelt]

Anyway, since AbC is isometric to ADC, CD will be equal to BC

[patent python]

ok afterwards what do i have do

[alpine sable]

Is this correct anyone ??

[patent python]

use the theorem to check urself

[rigid smelt]

Ok, just tell me first, whats the slope of BD?

[patent python]

a(2) + b(2) = c(2)

(2) being square

[patent python]

uhhh

let me check my sheet

its y = -4x + 340

[rigid smelt]

Wait you also said that you know the coordinates of E?

[patent python]

yes

[rigid smelt]

Oh great

Then E is the midpoint of BD

[patent python]

it doesnt inform me that it is but it likely is

[rigid smelt]

Nvm about the distance thing then

[alpine sable]

I used the theorem and I got that answer

[patent python]

then it should be correct

let me do it myself

[rigid smelt]

It is because remember, the triangles are isometric

[ancient creek]

yup

[patent python]

yeah its correct

[rigid smelt]

So anyway, the first equation is the one with the slopes

[patent python]

well

i found it cuz it was the intersection of AC and BD

not because it was the middle of BD

[rigid smelt]

Yes i know

But its also the midpoint of BD

[patent python]

alright, what do i do with that info

[rigid smelt]

We can prove that thru the fact that ABC and ADC are isometric

Anyway

Can you tell me the slope formula for BD?

[patent python]

ok

[rigid smelt]

And lets call B(x,y)

[patent python]

its y = -4x + 340

thats for BD

[rigid smelt]

No, im asking for the slope formula

Not the linear equation

[patent python]

oh

the one i used to find the slope?

s1 x s2 = -1

s being slope

s1 is the slope of AC

[ocean seal]

waler

[patent python]

oh

[rigid smelt]

Now plug in the slope and the coords of B and D

[patent python]

ok

so that would give

-4x + 340 = 0 - y2/85 - x2

?

[rigid smelt]

m is the slope of BD

Not the linear equation

[patent python]

yes

oh

so just -4

[rigid smelt]

The slope of BD is not -4x +340

[patent python]

yeah its -4

[rigid smelt]

-4=(0-y)/(85-x)

Can you simplify this to a linear equation?

[patent python]

hhh

[alpine sable]

How do u find the height of a triangle?

[patent python]

dont think so

[patent python]

what context

[rigid smelt]

Just get rid of the fraction

And people please stop filling up this channel

Use a free one

[patent python]

hmm

id have to get rid of the 85-x

[rigid smelt]

how about multiplying both side by (85-x)?

[alpine sable]

@rigid smelt which one is free

[patent python]

yeah

[rigid smelt]

i think you can find it out yourself

unless you dont know what free means

[rigid smelt]

tell me what you get

[patent python]

so that'd give me 4x - 340 = 0 - y

[alpine sable]

Idk what it means I dumb 😀

[patent python]

check the channels where nobody has spoken for a decent amount of time

[alpine sable]

:0

[rigid smelt]

sure, -y=4x-340

ok ill rearrange it a bit

y+4x=340

this is our first equation

keep this in mind ok?

[patent python]

yes

wait

how did they become positive?

[rigid smelt]

now can you tell me the coords you got for E?

[patent python]

the y*

[rigid smelt]

move y to the right side -340 to the left side

[patent python]

oh

so u divided evrything by -1

?

[rigid smelt]

yeah sure

[patent python]

ok

[rigid smelt]

.

[patent python]

for E i have (80, 20)

[rigid smelt]

yep thats right

can you tell me the midpoint formula?

[patent python]

uhh

as in what formula i used to find that coord?

[rigid smelt]

yes

what kidn of formula you can use to find (80,20) as the midpoint

[patent python]

i compared the linear equation of AC to BD

so i did

1/4x = -4x + 340

[rigid smelt]

no, again, i didnt ask what you did

are you familiar with this formula?

[patent python]

yes

[rigid smelt]

great

so since E is the midpoint

we get 80=(85+x)/2

correct?

can you solve for x there?

[patent python]

78 = x

oops

mis typed

[rigid smelt]

close

[patent python]

75 = x

[rigid smelt]

yes

so can you find y the same way i did?

[patent python]

uh

what formula do i insert the x i just found?

[rigid smelt]

.

xm is the midpoint

x1 and x2 are the endpoints

so its the same for y

ym is the midpoint

y1 and y2 are the endpoints

now apply that into your case

y_E=20
y_D=0
y_B=y (unknown)

[patent python]

hmm

so the x we just found

is it for the end poit

point

[rigid smelt]

yes, the x we found is the x coords of B

[rigid smelt]

do you know how we got this?

[patent python]

not entirely sure

[rigid smelt]

E is the midpoint of BD

[patent python]

i know the 80 is from mid

the 85 is from D

[rigid smelt]

yes

and x is from B

because we call the coords of B (x,y)

and now we want to find x and y

[patent python]

well technically

since we found 78 as our x

for B

[rigid smelt]

75*

[patent python]

couldnt we just replace it into the linear equation for BD?

75*

[rigid smelt]

yeah sure, if you want to

[patent python]

ok

[rigid smelt]

either way works

[patent python]

alright

y = 40

[patent python]

im just not too sure how we got this formula though

i know where the info comes from but the formula itself im not entirely sure

[rigid smelt]

that is the midpoint formula

i thought you knew it

[patent python]

so we only took the X of the midpoint?

[ocean seal]

waler

waler

[rigid smelt]

yes, or y

i was intending for you to use both of the coords to find x and y

but you could also plug x into the linear equation to find y

[patent python]

ohhh i get it

we just seperated the formula into 2

right?

[rigid smelt]

yes

[patent python]

ok that makes sense

[gritty cave]

could someone help

[patent python]

so wait

what was the point of this?

[ionic jewel]

quadratic eqn

[patent python]

of the y + 4x = 340

[gritty cave]

ohh

[rigid smelt]

actually i wasnt thinking straight, could have just used the midpoint formula

but you can use that to check your answer i guess 🤷‍♂️

[patent python]

alright

thanks a lot

[nova night]

i need help with evaluating this expression

[glacial hedge]

@nova night is the 9-2i 2i+1 part a binomial coeffecient?

[nova night]

i believe so, not to sure tho

[glacial hedge]

ok

well then i would suggest substituting the values in to the formula

and turning (-2)^i to (-1)^i * 2^i

[nova night]

are we trying to find i in this expression? i'm not quite sure what the goal here is actually

[glacial hedge]

well

OH its not an infinite series

mb

xD

since its only from [0,2] you could just plug in for i

[nova night]

what series is this actually?

[glacial hedge]

do you know

ahh frick i forgot the name of the theorem

but ? = 75 + 40

= 115 deg

you could also check this because

the missing angle in the triangle is 180-75-40

because the angles of a triangle add to 180

then 180- (180-75-40)

because they are colinear

getting 75+40

or 115 deg

@zealous island does that make sense

[zealous island]

yeah

I got a friend to help me

@glacial hedge but this is final question so if you can help me on this

it would mean alot

[mystic sinew]

Whats your question?

[zealous island]

this

the image

It's for IReady

and this is the final question

Big test grade

[mystic sinew]

You just want the answer?

[zealous island]

yeah

since it's due at

12:00 AM

EST

[mystic sinew]

You’re not allowed to ask for help on tests

[zealous island]

well

[glacial hedge]

its probably a hw

[zealous island]

it isn't a test

its homework

basically

[glacial hedge]

taro

do you still need help

with that

$3x=78+x-2$

[ocean seal]

Elonmosqito96

[glacial hedge]

because of a theorem (i forgot the name)

[mystic sinew]

use the sum of angles of a triangle = 180

[glacial hedge]

its called like the exterior opposite angles theorem or something like thta

[mystic sinew]

and the third angle would be 180 -3x

[glacial hedge]

@mystic sinew it would be much easier to just use a formula

[zealous island]

I got it

by myself

I got it correct

[gritty cave]

could i get help with this please if that question is done

[mystic sinew]

forgot the formula didn't know there was one lmao

[glacial hedge]

@gritty cave use the determinant

[mystic sinew]

b^2 - 4ac

figure the value of that out

[gritty cave]

but do i make it equal 0

[glacial hedge]

you know b and c

b= 4

c=-8

-32a-16=0

a = -1/2

[mystic sinew]

wait why are you equating it to zero

that would just mean it has one root right

[glacial hedge]

no because

when its goes less than 0

it has no real roots

so we get

a < -1/2

[mystic sinew]

ah yeah my bad I thought you said the answer was c (a = -0.5)

[glacial hedge]

oh xD

[mystic sinew]

I mean you did say exactly that at the end bro

can someone give me a hint on how to solve this

[glacial hedge]

what is the first lettter

[mystic sinew]

please don't solve it just give me a hint

x'

[mystic sinew]

it's x'

[glacial hedge]

oh

wait whut

[mystic sinew]

a = 5x + y
b = 2x + 4y

b = ma + c
y = mx + c

[glacial hedge]

im assuming a = x' and b = y' right?

[mystic sinew]

it doesn't matter it's just an arbitrary variable name but yeah same variables

[glacial hedge]

have you tried integrating the equations with x' and y' with respect to their respective variables?

[mystic sinew]

no? whats the thought process behind suggesting that?

[glacial hedge]

wdym

wait is this a calculus problem?

or an algebra one

[mystic sinew]

algebra

[glacial hedge]

mb

because x' and y' are notations for the derivative of x and derivative of y

[mystic sinew]

ye that's why I changed it to a and b

[glacial hedge]

have you tried substituting a and b in the bottom 2 equations?

[mystic sinew]

it ends up very messed up and I gave up and had lunch, gonna go and east had nothing to eat today

[ocean seal]

𝒫robably

[icy notch]

can someone help me?

[ancient creek]

each term is getting multiplied by 1 / 3, so something like this:

$a_{n}=45\cdot\left(\frac{1}{3^{n-1}}\right)$

[ocean seal]

Hashing Power

[icy notch]

thats the answer for the bottom one?

how would i find a1?

[ancient creek]

yea

[ancient creek]

find out the value of a_1 by inputting n = 1 in the equation provided above

[alpine sable]

How can I access the advanced mathematics channel?

[strong furnace]

do ,iam advanced in #bots

[icy notch]

would this how the equation would look?

[alpine sable]

Ok Thanks

[ancient creek]

no

[ancient creek]

$45\cdot\left(\frac{1}{3^{n-1}}\right)$

[ocean seal]

Hashing Power

[icy notch]

so n-1 is the exponent

[ancient creek]

yup

[icy notch]

because its not letting me do that

[ancient creek]

oh

then maybe try this:

$a_{n}=135\cdot\left(\frac{1}{3^{n}}\right)$

[ocean seal]

Hashing Power

[ancient creek]

a_1 will still equal 45

[icy notch]

so this looks good?

[ancient creek]

yup

[icy notch]

thanks, u think u got time to help me with a couple more questions?

[ancient creek]

hmm im not sure

depends on the question

[icy notch]

1 sec

[gray isle]

that's the explicit formula,
not the recursive formula

[ancient creek]

but he was unable to write n - 1 in the exponent

[gray isle]

exponent?

[icy notch]

yea

[gray isle]

here, for a recursive formula a_n would be defined in terms of the previous term(s)

i.e. in terms of a_(n-1)

[ancient creek]

ohhh

[icy notch]

@gray isle so the answer i put is that correct?

[glacial hedge]

does anyone know how to prove this?

im pretty sure its true

but i might be missing something

[alpine sable]

how many geometry reasons are there ?

[gray isle]

no

that's the explicit formula,
not the recursive formula

[icy notch]

oh

are you able to assist me with that?

[gray isle]

here, for a recursive formula a_n would be defined in terms of the previous term(s) i.e. in terms of a_(n-1)

[ancient creek]

@icy notch so in that case I guess in that case $a_{n}=a_{n-1}\cdot\frac{1}{3}$ where a_0 is 135 but please confirm with someone else

[ocean seal]

Hashing Power
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[icy notch]

?

[ancient creek]

i feel that is correct but do confirm with others also

[gray isle]

yeh

[icy notch]

so what would a1 be?

45?

[gray isle]

yeh

here the recursive formula applies for integers n>=2

[icy notch]

so what would i do with something like this

[ancient creek]

r (the common ratio) in this case is 5 (45 / 9 = 5, 225 / 9 = 5, ...)

[glacial hedge]

@jac\

wps

[alpine sable]

lets say i have something that takes 36hours to produce, if i boost the production rate by 24x for an hour how long would it take for the job to finish?

can someone pls help

[glacial hedge]

dafuk

what does "if i produce teh production rate by 24x for an hour" mean

[alpine sable]

there sorry

edited

[glacial hedge]

ok

[icy notch]

a day of production will go by in an hour

[glacial hedge]

^

[icy notch]

thats some clash of clans shit

[alpine sable]

how tf did u know xd

im preparing for war

lmfao

[icy notch]

LOL

[glacial hedge]

R U SERIOUS

[copper umbra]

Damn

[glacial hedge]

BRUH MOMENT

[icy notch]

W

hey can someone correct my answer if im wrong on this?

[ancient creek]

i like just started learning multi-variable calculus, but i would say yes because since f(0, y) = y^2 as y approaches 0, it will become 0; f(x, 0) = x^2 as x approaches 0 it will be 0, so there is no contradiction and the answer is true.... but like i said i just started learning so you might want to confirm this with someone more experienced

[icy notch]

wait

lol

[copper umbra]

13 hrs

[glacial hedge]

#my life

im speedrunning multivariable calculus

tryna finish in 4 weeks 😆

[ancient creek]

damn nice, i am gonna go slow and take my time so that i can understand every topic nicely

[glacial hedge]

lmao

im doing it through cty and my instructor gets an email every few hours with a question...

i started feeling bad and thats why i joined this discord server xDD

[icy notch]

yo can someone check if im correct? My answer was 55

im pretty sure i did it correctly just not positive

[ionic jewel]

looks good

[twin ginkgo]

can anyone help ?

[alpine sable]

solve it as [(aI + bE)^2]^2

u will eventually get ur answer

[twin ginkgo]

thanks a lot

[hard compass]

I need to try find the amount of times 10 baseball teams play each other twice

I am pretty stumped

[hard compass]

I figured it out never mind

[thorny panther]

To do integral by parts u need to find u,v du, dv but how do you which part is u, dv?

[gritty cave]

help

[ionic jewel]

a is negative, so it falls into the less than 3 category

and you are plugging in "a-3" for x, then go from there

[alpine sable]

b

[gritty cave]

oh ok

[alpine sable]

b?

[ionic jewel]

why are you giving answers

why are you asking answers is the real question

this isnt a free "answer my question" server

[ionic jewel]

you can pick

you pick whichever way ends up simplifying (faster)

[alpine sable]

I am asking am i correct?

[gritty cave]

i got c though

[ionic jewel]

well series questions are always stupid, but looks like -15 then -12 between the terms

so you can maybe assume the difference between terms will linearly decrease

[ionic jewel]

its not c

[ionic jewel]

you are correct, but its not your problem

@gritty cave note that (a-3) will always be negative, since a is negative

[alpine sable]

thanks, I am just evaluating myself

[ionic jewel]

therefore you need to pick the part of the piecewise function that includes negative numbers

which is x < 3

[alpine sable]

I need help on this question

[ionic jewel]

ok

[alpine sable]

The 1/x is a 1/2x

[ionic jewel]

why is minecraft giving you calculus problems

[thorny panther]

Is there any telltale sign?

[alpine sable]

It’s a code to this mystery I am solving to find a lost person

[ionic jewel]

yes

[ionic jewel]

but its better to try choosing yourself and not memorizing a list

i do not have trouble picking my parts in ibp and dont use that list

sorry laugh dont feel like thinking about volume of rotations, maybe post in #calculus

[thorny panther]

I c

[alpine sable]

That’s okay

[sudden tulip]

must i solvr

or write statemetns

[orchid cape]

Refrain from doing that, this channel is meant for others 'doubts ' only to be solved and not answer to be blurted out.

[viscid basalt]

nvm

[ionic jewel]

ok

[radiant ferry]

?

[ionic jewel]

find the volume of the big shape

then see how many times the volume of the cube goes into it

[gritty cave]

?

[ionic jewel]

what have you tried

[gritty cave]

i know it's the derivative principle, i just forgot how to apply it

[ionic jewel]

ehhh no i don't think derivatives are the right idea here

remember gradient (slope) is rise/run

[topaz hull]

maybe try to plug x and x+h in

[gritty cave]

ohh

[misty pebble]

What is the notation for derivative with the original function being y =? Like do i make it f'(x)?

or is it dy/dx something?

[topaz hull]

f'(x) and dy/dx are both fine, write it like y=? IF they say so (don't use it usually)

[ionic jewel]

maybe you meant y' =

f'(x) = y' = dy/dx (until you get to calc 3)

[misty pebble]

So I've got y= 1/2x^4+2/3x^3. Do I write that as dy/dx 2x^3+2x^2

[ionic jewel]

dy/dx =

[misty pebble]

Alright

thanks

[radiant ferry]

bruh can someone explain to me how this works

[topaz hull]

CBD+CBA=180, and we know that CBA=130-x. Use algebra to solve it for the rest

[gray isle]

apply angle sums of triangles/straight lines
and/or exterior angle theorem directly

[alpine sable]

हिंदी में लिख कर बताओ क्या कहना चाहते हो

किसी दूसरे के सवाल में मुझे जवाब नहीं देना है?

[gritty cave]

how did i get this wrong

[gray isle]

you shouldn't just consider the boundaries for the range

[gritty cave]

ohh

[marsh cradle]

you dont need to give an answer to their question, you need to explain how and why you got that answer, also refrain from speaking anything other than english

[alpine sable]

I am not fluent in English, The thing is that I didn't give answer to him/her, I was just checking myself If I am right I could explain how I got the answer.... understand??

[marsh cradle]

ah got it

see, but that can be harmful

[alpine sable]

Yes, I will not do it again

[neat merlin]

Please, help

[marsh cradle]

im not sure what the V is in between

[alpine sable]

What should I have to do if someone ask a question here?

[ionic jewel]

probably "and"

[neat merlin]

How to compare this

[ionic jewel]

oh is it versus?

lol

[marsh cradle]

lol

[ionic jewel]

not sure what you mean by compare though

[neat merlin]

im stuid quadrid it but nothing

[ionic jewel]

you could just plug them all into a calculator and compare the decimal values

[neat merlin]

No, I need exact way to compare it withouts any calcs

[ionic jewel]

none of them look equal

[orchid cape]

Yes you are right, you may help them to reach their answer not directly answer the problem

[ionic jewel]

first one can't simplify, second ones fraction isn't equal to the first ones

and the third one is just wack, but i see no way to combine it into the first one

might be the same as the second but i doubt it

[alpine sable]

Lol

[neat merlin]

In fact this can be compared by taking it into another cube but in this case I will have to work with relativity large numbers, how to avoid this

[alpine sable]

You got this.

[neat merlin]

: C

[alpine sable]

You can do it.

[neat merlin]

I dont wanna do it! 😦

There should definitely be an idealogical way to compare it in a couple of steps, but im blind

[alpine sable]

A ideological
An ideological?

[neat merlin]

right

sorry

[ionic jewel]

$a^2 - b^2 = (a-b)(a+b)$

[ocean seal]

bunny

[alpine sable]

x^2-25

x^2 - 25

$x^2 - 25

[ionic jewel]

what?

[alpine sable]

?

[ionic jewel]

why are you typing that

did my hint help you enough/at all?

[neat merlin]

(x+5)(x-5)

[alpine sable]

thanks!

ill be here alot since im not so good at math

[neat merlin]

mm

[ionic jewel]

buddy why you did you just give him the answer

give help not answers

[neat merlin]

right, ok

[sudden tulip]

excuse me may I ask a question here now ?

am i supposed to explain in statements ?

[shadow sierra]

Find out the determinant

[vague coral]

which exercise

[shadow sierra]

Linear

[vague coral]

is it a test tho ?

[shadow sierra]

Seems like a test xD

[ionic jewel]

the test time on the screenshot isn't the same as their phones time

so I'm pretty sure they took this test earlier today

[vague coral]

because its not mine

[ionic jewel]

oh

well it's x:50 which isn't in the test time no matter what timezone

that sucks

[vague coral]

its for daddy sosa

And he keeps saying hes going to fail

like why is he so desperate ?

[crystal crag]

It IS the test time folks

[vague coral]

14th june

We are the 14th june today

Its a test

<@&268886789983436800>

[ionic jewel]

im still pretty sure this is either before/after the test and not during test time but fair

oh I'm wrong

it's during the exam

ban ban ban

why is the time zone in india off by half an hour

[muted pelican]

can anyone help me with these proportions?

[vague coral]

Because he send a pdf file

oops wrong ping

[muted pelican]

nice reply

[vague coral]

my bad*

[ionic jewel]

no i mean it's 3:57 for me, but it's 1:27 in India

[heavy otter]

huh

[muted pelican]

[ionic jewel]

like i thought time zones were off by an hour

not half an hour

but according to google it is not true

[crystal crag]

IST is GMT+5:30 so 5 and a half...

[ionic jewel]

never heard of a +5:30 i hate time zones even more now

[vague coral]

Im in GMT+0:00

[muted pelican]

there is

[crystal crag]

Ez for u to explain to others haha

[ionic jewel]

great my innate programmer fear of time zones is now worse

[shadow sierra]

Yes lmao it’s during the test

[alpine sable]

Anyone know of any free pdf coursebooks for further math A-levels?

[alpine sable]

mans awake at 4am

[supple egret]

Question : If i have 2 functions that are intersecting at some points, how do i know which one is above the other?

If this isn't clear enough please tell me to formulate it better, english isn't my main language.

Something like this. Which one would be above the other?

[ionic jewel]

yeah i may not have the healthiest sleep schedule

[ionic jewel]

pick an x value between the intersection points, and plug into both and see which has a higher y value at that point

[supple egret]

So i just take x of either left intersection point or x of right intersection point and plug into both

Thank you man ! 🙂

[ionic jewel]

no use a point in the middle

if you use the intersection points they will have the same y value

[supple egret]

Oh

Like in (xleft, xright) range?

[ionic jewel]

use literally any point between the two intersection points

[supple egret]

I should pick from there

[ionic jewel]

yes exactly

[supple egret]

Okay.

Thanks!

[supple egret]

I have one more question. If i have binomial coefficient (2 n) (2 is above n) where n is bigger than 2, how exactly do i write that?

I think it should be ?/2!

I m not sure what to write instead of ?

[noble sinew]

Its equal to 0 if its an integer greater than 2 then

[supple egret]

Oh

What if i have the sum of n=0 to infinity of (4 n) ?

[noble sinew]

using the above its just sum from n=0 to 4 of {4 choose n}+sum from n=5 to inf of 0

[quiet crown]

So, i've been given this question in my textbook and i'm confused to how they got this as an answer

[supple egret]

Okay thanks! @noble sinew If i wanted to leave sum intact, then i can't "simplify" ( calculate ) that (4 n) right?

I mean if i started to calculate the sum of n= 0 to 4 of (4 n) then i wouldn't be able to write it as a sum anymore

Right?

If i m not clear enough please tell me so i can formulate it better

[noble sinew]

not rly no

[supple egret]

So if i have this function f(x) = (2x) / (1+x^2)^2

The only way to write it as a power series is 2x / sum( (2 n) * x^2n) ?

I am not sure if i m alowed to somehow get that 2x into the sum, i guess not

Usually whenever i have a power series its just one sum without things that are outside of it.

[gray isle]

,rotate

[coarse bay]

do u know how they got 0.52

[covert berry]

I happen to have no idea which is european or south american team.

Lol

Why England splits into two countries?

@coarse bay There are two such scenarios: England VS Argentina and Brazil VS Germany.
The first case is 0.4 * 0.4 = 0.16
The second is 0.6 * 0.6 = 0.36
So it's 0.52 in total.

[celest void]

Pretty dumb question but we would have to consider both cases here right?

[covert berry]

Three cases actually

[celest void]

what will they be exactly?

[covert berry]

x > 3, 0 < x < 3, x < 0

[celest void]

How did you get those?

[covert berry]

x >= 3 and 0 <= x < 0 work just as fine

In inequality, you need to be more careful.

The x could be negative or positive. It's ok if it is positive but if it is not, the sign switches.

[celest void]

I would get $\frac{|x-3|}{2x} - 1 < 0$

[ocean seal]

Serena!

[celest void]

Right? ANd then i have to attempt to solve this?

$\frac{|x-3|-2x}{2x} < 0$

[ocean seal]

Serena!

[vapid swift]

i think only two cases

when x =>3 and x<3

[covert berry]

It is okay, but I would personally prefer leaving the number 1 alone.

It's just fine there.

[celest void]

Hmm right I see

[distant kiln]

How do I graph y^2 + z^2 = x^4?

[covert berry]

Don't cross-post please

[celest void]

Alright from here uhm what do i essentially do?

[distant kiln]

Sry

[celest void]

Like uhm symbolab says x<0

[covert berry]

Check the aforementioned three cases.

Have you yet to understand why there are such cases?

[celest void]

I'm a bit confused

[celest void]

Right perhaps

|x-3| could be either -(x-3) or (x-3)

[covert berry]

Now, just do the maths on each case and you're fine

[celest void]

I mean what would be the two cases

Like where did you get it from

just from the absolute value

You're not considering anything else?

[covert berry]

Just the absolute value itself gives you two cases.

But you need to take caution of the < sign.

[celest void]

so x>=3 or x<3 would be the two cases?

[covert berry]

If you multiply 2x, there are extra two cases where x > 0 and x < 0

So thinking with combinatorics, you have 4 cases.

But one case among those is not valid, it's (x > 3 ; x < 0) which is wrong.

So you're left with the 3 cases.

If you're still confused, go ahead with the 2 cases. You may find out what's wrong then.

[celest void]

Hmmmm

I'm just confused on finding the cases

Denominator can't be zero would be one case?

so x>0 or x<0?

[covert berry]

Hm?

Yeah, you could say that

[celest void]

There's no other conditions i have to consider though right?

I mean the values of the numerator wouldn't be affecting me?

[covert berry]

Yeah

What do you mean

[celest void]

I'm confused like if you get this question

where would you start first

[covert berry]

Don't worry too much about the cognition stuff. It's all just experience to be honest.

[alpine sable]

how do i solve this https://mcs-notes2.open.ac.uk/files/mst124Unit5SampleTMA.pdf

[covert berry]

Once you've done enough, you just automatically take caution there.

[celest void]

Yeah i'm just trying to understand how you would solev it

😭 I've learned this before but just having a brainfart

[covert berry]

It's ok.

Good luck.

[celest void]

Hmm so....

[vapid swift]

first start by multiplying 2x on both sides

that would make it easier

[celest void]

u mean $|x-3|<2x$?

[vapid swift]

and then consider the cases

[ocean seal]

Serena!

[covert berry]

That's not correct. As 2x could be negative or positive. It's inequality not equality.

[vapid swift]

i didn't say to remove the modulus tho

[vapid swift]

yeah right

[celest void]

now x-3<2x and -x-3> 2x?