help-0

[feral apex]

@alpine sable my bad

[alpine sable]

Because it don’t help 🤧

[gray isle]

it seems you don't have a basic understanding of labeling conventions

[feral apex]

What are triangles with a side 90° known ?

[alpine sable]

@gray isle I don’t

I literally haven’t done any geometry this year

This the only thing I need to pass

[gray isle]

start by watching the vid provided

[alpine sable]

@gray isle be my friend :(

[hearty summit]

can someone help me with 2 definitions? The median and perpendiucular bisector, I think its for triangles. It is some classwork I got

[fading rover]

@alpine sable you kind of look like Kathy Clarke lol

[alpine sable]

u cant

[runic finch]

why

[wary stream]

There's going to infinitely many solutions

[alpine sable]

how do i turn $\frac{\sqrt{2}}{2}$ into $\frac{1}{\sqrt{2}}$?

[ocean seal]

ajuze

[lethal stump]

well you know that 2 = sqrt(2)*sqrt(2)

[alpine sable]

oh i see, thx!

[lethal stump]

aight nws

always happy to help

[wraith cairn]

I have a question about this question

the way I solved it was dotting a vector with (3,2,4) and (4,6,3)

which gives 2 planes in 3d space

then I found a point that lies on both planes

and then I got the vector equation and converted it.

apparently there is another way to do it. What do you do?

[lethal stump]

equate the lines?

and solve the three simultaneous equations?

you'll have two variables so you would want to use two of the three to solve for t and r

and then check if the values work for the third equation

if they dont then the lines are skew

@wraith cairn

[wraith cairn]

are you sure you have read the question or am I misunderstanding something

[lethal stump]

oh shit

[feral apex]

Do you need to differentiate ?

[lethal stump]

i am dumb

soz

[wraith cairn]

no worries.

[sage jacinth]

ah ive seen this problem before

the goal is to realize that 2y+1 is odd for integer values of y

then you can solve for a solution

[ionic jewel]

2y+1 is not prime for integer values of y

it's true for some of them but not all

read: not all odd numbers are prime

[sage jacinth]

https://www.youtube.com/watch?v=C8M_ErBgCV8&t

[weary lance]

I have a multivariable calc question that's been troubling me. It seems pretty simple and straightforward, but I haven't found an answer
In curvillinear coordinates like spherical coordinates, the gradient is d/dr r-hat + 1/r d/dtheta theta-hat + 1/rsin(theta) d/dphi phi-hat. When you take the dot product between this and some vector valued function, you get a certain result, but this isn't equivalent to the divergence of that function! I don't understand why because I thought you can computed the divergence by dotting the gradient with a function. A similar thing is true for curl. Can anyone help?

[strong furnace]

assumption : m and n are positive integers

[rose plover]

can someone pls help me 😩 thanks

1. determine the height of a tree if its casts a shadow of 5 m and the angle of elevation of the sun to the tree is 32degrees
   a. Draw a sketch of the situation
   b.Mark in the given angle of evelation or depression
   c. Use trigometry to find the required missing length
   2.To illuminate the entrance of a condominium a night light is mounted on a pole of the base of the pole is 25 m from the entrance and the angle of depression of the light is 16 degrees how high is the pole?
   a. Draw a sketch of the situation
   b.Mark in the given angle of evelation or depression
   c. Use trigometry to find the required missing length
2. If you are 100cm tall and you cast a shodown 130 cm long. what is the angle of elevation of the sun?
   a. Draw a sketch of the situation
   b.Mark in the given angle of evelation or depression
   c. Use trigometry to find the required missing length

[wary stream]

Literally draw the sketch, that simple

[rose plover]

but what should i do about 5 m and 32 degrees

[wary stream]

Put it in the diagram

[alpine sable]

whats uhm 2+2?

[rose plover]

what is the height of a tree

[wary stream]

Don't troll

[wary stream]

That's what you're finding

[alpine sable]

no i actually dont know what it is

[wary stream]

Using trig

[alpine sable]

UR NO HELP

[wary stream]

Don't be trolling

[alpine sable]

I dont be trolling tho

[rose plover]

how do i learn trigometry

[wary stream]

Khan Academy

[alpine sable]

Its a simple question that I do not know the answer, what is 2+2?

[wary stream]

Use a calculator

[alpine sable]

lemme use u ;))

[wary stream]

No

[alpine sable]

Why not

[rose plover]

can u do me atleast one out of 3 of my question, do it on a paper and send screen shot on my dm

ill take it as a guide

[gray isle]

have you been able to draw a diagram yet?

[wary stream]

Nope, we don't do people's work for them

[gray isle]

that part has nothing to do with trig

[near heron]

ik im not supposed to ask to ask but if i asked something would it be cross posting or is this conversation over

[rose plover]

how to get that 17.21 m

[wary stream]

Using trig functions

[rose plover]

show me how

[gray isle]

do you have a calculator?

[rose plover]

i do

[rose plover]

is scientific cal required?

[gray isle]

yes

[rose plover]

i have

[gray isle]

which steps don't you understand

[rose plover]

getting the 17.21 m

[gray isle]

so the last step only?

[rose plover]

i guess

[gray isle]

make sure you calculator is set to degrees mode

then enter in:
10.34/ tan(31)

[tough yacht]

If y = x² - 6x + 15 find the coordinates of the point on the curve at which the tangent is parallel to the x-axis

can anybody help me

[gray isle]

what have you tried?

[tough yacht]

this @gray isle

actually i don't know what to do with it

[gray isle]

what types of lines are parallel to the x-axis

[rose plover]

how do i type it to a scientific cal

[tough yacht]

this is all i got

[gray isle]

then enter in:
10.34 ÷ tan(31)

assuming that calc is set to degrees

[tough yacht]

[rose plover]

where's the option to set degrees

[gray isle]

well at the top left it says deg, so i'd assume its currently in degrees

by yes to having a calculator, I assumed you had a hand-held scientific calculator

[alpine sable]

bro use desmos

https://www.desmos.com/scientific

[rose plover]

i got it

[gray isle]

what types of lines are parallel to the x-axis

@tough yacht

[rose plover]

thanks i was finding the answer for about an entire hour lmao

[gray isle]

(in 1 word)

[rose plover]

should i use the tan on all of those questions

[gray isle]

yes

[alpine sable]

Hey, if i have that

$\int_{0}^{3}x²dx$ = 9

[ocean seal]

the

[alpine sable]

And that

$\int_{1}^{3}x²dx$ = 26/3

bro this channel is used

[ocean seal]

the

[alpine sable]

if the first integral starts in 0, then why does it have less area than the one that starts in 1?

[gray isle]

it doesn't?

[alpine sable]

Oh ny god

Im a dumbass

I thought 26/3 was something else lmfao

My bad my bad

[covert berry]

Solve the functional equation:
f( f(x) ) = f(x) + x

I used a method in which I predict f(x)'s form then prove that the found f(x)s were the only ones which satisfy it.
I predicted f(x) = ax + b and found

[ocean seal]

rudy

[covert berry]

The final step is to prove that those two are the only solutions to the equation.

How can I do that?

<@&286206848099549185>

[willow anvil]

I don't understand how to answer question 20
19 is just showing the work for it

[alpine sable]

im in tears i need a hero

[wary stream]

Would help if you asked a question

[alpine sable]

how do i become smarter

i cant figure it out

[wary stream]

Good luck

[alpine sable]

:(

[wary stream]

Did you have a specific question to ask?

[night bramble]

i need help with a question

loading

[woven pollen]

20 is the remainder of the division you did to get 18.

[night bramble]

so i have this timeline

i dont get the part where it asks me to show

two different calculations at different times on the timeline

does it mean the amount?

and then after words i compare the interest of those amounts?

[woven pollen]

I agree that is a confusing question. But you have all the hard work completed. So just plod through each part of the question and reference your work. ok?

[night bramble]

uhhhhhh

yes i plan to do that

[woven pollen]

btw, to get the total amount of money you have at t=5, you can just add all those parts up.

[willow anvil]

Really sorry but could you help with 18

Help notils first if it is easier

[woven pollen]

compute the volume of the cooler (a rectangle). Then compute the volume of a can (a cylinder). and divide the cooler by a can. this will be the number of whole cans you can fit inside the cooler. The remainder of this division will be fill up with the water, in the next part.

[willow anvil]

Thank you

[glacial hedge]

I am a little confused with changing limits of integration, from fubini's theorem:

but why sometimes with a type 1 or type 2 integral

when we switch the order of integrals, **why ** do we change the limits??

[woven pollen]

the limits ride along with the dimension over which you are integrating, and by dimension I mean the "variable of integration", e.g. dx or dy.

[glacial hedge]

? i think i wasn't clear with something like

is equal to

but not

$\int _{\sqrt[3]{x}}^2\int _0^8:\frac{1}{y^4+1}dxdy$

[ocean seal]

Elonmosqito96

[glacial hedge]

does fubini's theorem not apply when there are variables in the limits?

[woven pollen]

Can you plot that volume and post it? It will be easier to explain with a visual example.

[glacial hedge]

uhhh i dont really have a good graphing software xD

the software cant actually do the [0,8], [2, cbrt(x)]

[woven pollen]

maybe I can find something. brb.

[glacial hedge]

oh

i see

fubini's theorem only applies for rectangles...

[woven pollen]

What is the name of this theorem?

[glacial hedge]

which theorem?

[woven pollen]

This one -->

[glacial hedge]

thats fubini's theorem

[woven pollen]

oh. What is the name of the class you are taking?

[glacial hedge]

multivariable calclus?

[woven pollen]

huh.

[glacial hedge]

?

[woven pollen]

I'm studying it now.

[glacial hedge]

samez

[wary stream]

Plug in the given values and find a

Also don't multipost

[silk coral]

Can someone explain congruent segments

[rigid smelt]

basically they are just segments that have the same length

[silk coral]

Would it be Lk and Nk

[rigid smelt]

no

[silk coral]

Oh it’s all

[rigid smelt]

theres no information given about those two segments

[silk coral]

Oh my bad

[rigid smelt]

look at the given information

see which one is related to segments

and use that to complete the question

[silk coral]

Ohh is it Ok and Kn

[rigid smelt]

yeah

[silk coral]

Ok thanks I see

One more this would be vertex correct

[rigid smelt]

sure

[orchid chasm]

can someone double check my stuff? its multiple choice

[covert berry]

[orchid chasm]

its just these

[covert berry]

Ping Helpers after 15 minutes

I can't help you, I'm just a kid unfortunately

[orchid chasm]

ah ok no worries

[rigid smelt]

is this a test?

[orchid chasm]

No just a check up thing our teacher does to see if we know the material

<@&286206848099549185>

[woven pollen]

Did you figure out why the limits changed?

[pine mantle]

anyone know how to solve this? its apart of discrete functions

[woven pollen]

yay. just a sec.

[alpine sable]

what is the meaning of the single integral here?

shouldnt it be double integral or more for multivar functions?

[woven pollen]

Yes, but. The dA lets you know it an "area" you are integrating over, and thus a double integral.

[alpine sable]

ah i see

[woven pollen]

It does look like a mis-print however.

I would have expected to see two itegral signs, too

[woven pollen]

oops. I messed up my arithmatic at the end. but do you get it?

[pine mantle]

this is what i wrote down for my question? how did u get what u got and what led me to getting mine

im not quite sure

[alpine sable]

Hey what’s (6x+5)

[woven pollen]

if x= 1,000,000, then 6,000,005.

[alpine sable]

Ayo

In the question it says

These 2 boys went to get a burger

And there’s a table of prices

They ask this boy wants to get a burger from shack shack

But the price for it is

$(6x + 5 )

[woven pollen]

the ratio is 3. 1/9 * 3 = 1/3. 1/3 * 3=1. 1 * 3 = 3. 3 *3=9.

[pine mantle]

huh

im not quite sure i follow

[woven pollen]

r = 3

Help.

[woven pollen]

x = 2 then. Because there are 2 boys.

[analog terrace]

should i arrange the data numerically before solving for the quartiles or leave it be ?

[woven pollen]

Yes, you must sort it.

[analog terrace]

i see. thank you

[sterile beacon]

4x^2 + 4x +4

Factorize

[alpine sable]

The width of a rectangle, in feet, is represented by (3x + 2). The length of the rectangle, in feet, is represented by (5x + 4). Find the perimeter of the rectangle.

[woven pollen]

It has complex roots

[analog terrace]

what are the two numbers that when added results to 4 and when multiplied also results to 4?

[sterile beacon]

What does that mean

[analog terrace]

that should give you the answer

[sterile beacon]

What

[woven pollen]

how many widths and lengths are in the perimeter of the rectangle?

[alpine sable]

there

[alpine sable]

they dont say. or atleast i dont think so.

im bad at math

[woven pollen]

Imagine walking your dog starting in one corner. You'll travel two widths and two lengths, right?

[sterile beacon]

fml

[alpine sable]

yep

[woven pollen]

ok, then you have two 5x+4's and two 3x+2's because those correspond to the lenght and width.

[alpine sable]

yes so do we add them? (5x +4) + (3x + 2)

[woven pollen]

yes. but two times each.

[alpine sable]

so for the answer we get for each we multiply by 2?

[woven pollen]

(5x+4) + (5x+4) + (3x+2) + (3x+2)

[alpine sable]

ohhh

i understand

[woven pollen]

mutiplying by 2 is good too

[alpine sable]

so how much is (5x+4)

[woven pollen]

5x+4 is just that. Unless you know what x is equal to, you have to leave it as 5x+4.

(5x+4) + (5x+4) = 10x+8. And, (3x+2)+(3x+2) = 6x+4. then, 10x+8 + 6x+4 = 16x+12.

[alpine sable]

so we just multiply 5x + 4 by 2

[woven pollen]

yes. 5x+4 * 2 = 10x+8

[alpine sable]

omg thanks u sm

i didnt understand this too

they didnt give us any number to work with

[woven pollen]

30% of m = 0.30 * m. So, we started with m peeps, then got 0.30 *m more peeps, so we ended up with m + 0.30 * m peeps.

btw, m + 0.30m = m(1 + 0.30) = m(1.3) or 1.3 * m.

[alpine sable]

ye someone told me its 1.30

but i wasnt sure

[woven pollen]

if you increase 20% it is 1.2. if you increase by 60% it is 1.6. etc.

[alpine sable]

understood

i kept tryna think abt this but it kept not making sense

my teacher is trying to explain it

[woven pollen]

the roots of 4x^2 + 4x + 4 are x = (-1 + 2i)/2 and (-1 - 2i)/2.

[alpine sable]

but i just cant find the connection

[woven pollen]

🤷‍♀️ I can't do those.

[alpine sable]

same lol

[woven pollen]

never could

[alpine sable]

haalf of my class is confused

[sterile beacon]

just replace a fruit with a variable letter

[alpine sable]

try it

[sterile beacon]

What is

i

[woven pollen]

I would write a bash script and brute force all the combinations....

i = sqrt( -1 )

[sterile beacon]

I see

[alpine sable]

i get in the first one that the 2 yellows = 5 but how does 1 get stacked on the apple and theres a yellow under it that equals to a yellow or 5

keep getting confused

[sterile beacon]

2 yellows equal 5?

each fruit is 1, 2, 3 or 5

How is 2 of the same 5

[alpine sable]

cause 2 yellows = 10

cause each one is 5

so thats why they wrote 0 down

[sterile beacon]

Right but you said two are 5

[toxic prairie]

you subtracting though?

[alpine sable]

adding

wait nvm

wtf

5 - 5

=

0

bruh

what abt the 2nd line in the middle

theres a apple and a yellow

the red cant be 5 cause if u did 5 - 5 its 0 but it made a 5

my brain cells

[toxic prairie]

lemon = 1, apple = 2, grapes = 3, the other one = 5

thats what Im seeing

you can verify

[alpine sable]

i think ur right

u just tested it out

let me look at the other one

yea ur right mate @toxic prairie thx sm

[toxic prairie]

np

[alpine sable]

https://i.imgur.com/wv3LAAi.png can someone help me with this

im really bad at volumes

[toxic prairie]

3rd one down

[alpine sable]

thank you but can you explain it if you don't mind?

[tawny lion]

there is a formula

integral of pi y^2 dx

so if y = root(x), your integral is x * pi

so make a bounded integral with x * pi

[toxic prairie]

the volume of a revolution is given by the integral of $\pi y^2$ (arrived at by considering the limit of cylinders) so the function $y = \sqrt{x}$ gives the integral $\pi x$

[alpine sable]

thank you guys so much

[ocean seal]

holazach

[toxic prairie]

np

[tawny lion]

if it asks for volume of revolution around y axis

then the formula is pi * x^2 dy

just remember those and you are good

[loud ivy]

The number of arrangements of the letters in the word ZYZZYA is

please help

[alpine sable]

$\frac{6!}{1! * 2! * 3!}$

[ocean seal]

omeganebula

[loud ivy]

thank youuuuuuuu

[alpine sable]

np

[loud grove]

Why is this true?

C is the curve of that function of x btw

And k is a constant

[alpine sable]

calculus

[rigid smelt]

you have to find that out thru the derivative of C

just differentiate and set the derivative equal to 0

after that try solving the equation for k

or find some kind of conditions for the equation to have (a) solution(s)

[loud grove]

Ohh I think I got it, thanks

[alpine sable]

https://i.imgur.com/WGkpO4W.png the answer to this would be the third option right?

[hearty flame]

Hello

Can anyone help me with something?

Ok

[alpine sable]

plz

[hearty flame]

I need help understanding i

aka Imaginary unit

[alpine sable]

i not good at that one

[hearty flame]

ok

[alpine sable]

but you can sent a pic in here

so everyone can see it

[hearty flame]

who is really good at math here

[toxic prairie]

whats up with i

[alpine sable]

can someone correct me

[toxic prairie]

64 x 30 = 1920 whats the problem

[alpine sable]

np

[jaunty crane]

anyone knows about simultaneous equation

[vale wigeon]

have you made any progress so far? @jaunty crane

[sterile beacon]

Use the curve to decide the velocity at the time period 4s

[vale wigeon]

@sterile beacon channel busy please move

[jaunty crane]

not yet i dont how to do

[sterile beacon]

How rude

[vale wigeon]

@jaunty crane you have a right triangle with sides labeled as follows

there's this very famous theorem concerning the side lengths in a right triangle...

[jaunty crane]

c2=a2+b2?

[vale wigeon]

use this symbol for exponents: ^

[jaunty crane]

c^2=a^2+b^2

[vale wigeon]

but yes, the pythagorean theorem is what i am talking about.

write out the theorem as it applies to this triangle, in terms of x and y.

[jaunty crane]

theres 2 right

1 linear

and non linear

[vale wigeon]

what do you mean by "theres 2"

there will be two equations in your problem, yes

one of them will come from the pythagorean theorem

the other we'll get to later

[jaunty crane]

ok

ill try sub it now

[vale wigeon]

don't overthink it and don't do any algebra until i tell you to.

[jaunty crane]

c is the hypotenus right

[vale wigeon]

@whole imp channel busy please move

@jaunty crane yes c is the hypotenuse

[jaunty crane]

okay

the y should i sub it like

(ex-1)`2

2x*

[vale wigeon]

y ≠ 2x-1, so no, you should not replace y^2 with (2x-1)^2

[jaunty crane]

(2x-1)^2?

oh okay

[vale wigeon]

@sterile beacon to address your earlier remark, you were being rude by intruding on an occupied channel. all i did was redirect you.

[jaunty crane]

so y = 2x-1+x

right

[vale wigeon]

no

where did all the squares go???

[jaunty crane]

oh yea

y = (2x-1)^2 + x^2

[vale wigeon]

you're still missing one

[jaunty crane]

uhm

[vale wigeon]

doublecheck your equation, you're still missing a square somewhere

[sterile beacon]

I can't deal with you right now

[jaunty crane]

y^2

[vale wigeon]

y^2 = (2x-1)^2 + x^2, that's right

that's our first equation

[jaunty crane]

okayy

got it

how bout the second

[vale wigeon]

we are given one other piece of info about the triangle

the perimeter of our triangle is 40

[jaunty crane]

yes

[vale wigeon]

are you able to turn that into an equation in x and y?

[jaunty crane]

i think so

x+2x-1+y=40?

[vale wigeon]

yes

[jaunty crane]

ohhh

[vale wigeon]

so you have two equations now: $\begin{cases} x^2 + (2x-1)^2 = y^2 \ 3x + y - 1 = 40 \end{cases}$

[ocean seal]

Ann

[vale wigeon]

can you continue from here?

[jaunty crane]

oh alright

ill try

thank you

[sterile beacon]

Use the curve to decide the velocity at the time period 4s

[vale wigeon]

have you made any progress on this?

[jaunty crane]

who?

[vale wigeon]

crimespree

[jaunty crane]

ok

[vale wigeon]

who seems insistent that they get help in this channel specifically, because "channel busy please move" is apparently just too rude for them

[jaunty crane]

Is this correct

I'm not sure about -233/2

[vale wigeon]

x = 105/2 is an extraneous solution, precisely because it makes y negative (which for us makes no sense)

[jaunty crane]

owh

so that count as wrong right

[vale wigeon]

it's not wrong

you solved the quadratic correctly

it's just that the solution x = 105/2 must be discarded

[jaunty crane]

what does that means

[vale wigeon]

i mean exactly what i said

the solution x = 105/2 must be discarded, since the resulting value of y is negative, but the problem tells us that y is a length

[jaunty crane]

what should i do

to get the 105/2 discarded

[vale wigeon]

just write "y = -233/2 => x = 105/2 is extraneous" or something...

like

it's not a Process or anything

you're overthinking it

[jaunty crane]

owh ok thank you so much

[vale wigeon]

unless your teacher is draconian about formatting and forces you to follow a fixed and predetermined format, in which case you should ask them and not me how they want it written

[jaunty crane]

all right

thank you again

have a good day :))

[brisk wedge]

993

[alpine sable]

help

[brisk wedge]

B OPTION CONFIRMED

[alpine sable]

help with that one plz

@alpine sable a

if you consider π as 3.14

2(3.14)×(47÷2)

P=2πR

thx

this is my lost question for today

91m-->170km
22m-->x
so x=22×170/91

=41.09 rounded to 41.1

so d

thx for the help alot i appreciated

[uncut depot]

how do i get good at multiplication

[granite mountain]

What kind of multiplication?

[uncut depot]

235*4353

43*21

13*6

[granite mountain]

I mean, you just practice, that’s how you get good at everything

[uncut depot]

mental math

so do i have to practice it in my mind?

[gray isle]

set up a multiplication table

[uncut depot]

how does that help with 432*435

[uncut depot]

the way the teachers ask us to do it is "learn the multiplication table and spit it out now"

[uncut depot]

mental math

like what about the human calculators

do they just practice that in their head so much that they become good?

[jaunty plover]

I think there's also some tricks

[uncut depot]

i see

[jaunty plover]

you can search for "tricks" on youtube

[uncut depot]

okay

[jaunty plover]

uh if your case was 432*434 you can rewrite it as (433-1)(433+1) difference of squares. then you probably use a trick to square the number quickly and subtract one

[uncut depot]

[granite mountain]

https://youtu.be/z4X98Mnj0tc

This is one of the triks

https://youtu.be/n97nmGGlBf4

And the Chinese way

[uncut depot]

[jagged imp]

lettice

[still violet]

How can I represent this code float actions[] = new float[2]; but with a mathematical expression/formula ?

being the float a real number

[uncut depot]

why do you wanna do new here

[stray notch]

it looks like java to me

[uncut depot]

its C or C++

[stray notch]

it can be written the same in java

[uncut depot]

oh

i didn't know that

i don't think you can write that down

as far as i know

[stray notch]

but it might be c#

since java in almost all cases has it as float[]

[covert berry]

I think it's not C#

If you're using VS, types should be colored green.

unless that's modifiable

[stray notch]

ah no, this is java

[past bramble]

the code is correct

[stray notch]

the screenshot i showed was to show that java accepts the same place for []

[still violet]

C#

[past bramble]

its java

[still violet]

but what about representing this in a mathematical formula?

[covert berry]

what do you mean?

[stray notch]

well

[past bramble]

You cant really

[stray notch]

a float is a decimal

[past bramble]

This just reserves space in your memory for 2 floats

[stray notch]

^

[past bramble]

You dont need to reserve memory in math

[stray notch]

do you wanna have 1 continuous float?

[still violet]

No no, just wanted to know if this can be represented mathematically, without code

[stray notch]

as in 2 floats acting as one?

in base 2 or base 10?

[covert berry]

oh, so 3.0f , 5.0f

uhhh

[stray notch]

^

[covert berry]

what

[past bramble]

You can use a set of 2 values

{3.0, 5.0}

[covert berry]

the set has fixed size too

uhh so

that's pretty it

[still violet]

[past bramble]

difference is that a set has no order

an array has

[still violet]

ok ok, thank you guys! I appreciate your help

[covert berry]

arrays are stored as one dimension too, right

[stray notch]

the arrays are basically matrixes

[covert berry]

like, the memory allocated for 2ds, 3ds, are basically 1d with extra algorithm?

i heard that somewhere

[past bramble]

yea actually you could use matrices to store that

thats a better idea

[covert berry]

there is a Matrix type?

[stray notch]

depends on the language, c has a multi dimension array in a single line behind the scene

[covert berry]

what may be one that does it otherwise

[stray notch]

oop languages

[covert berry]

and how tbh

oh??

[stray notch]

the second dimension is not initialized

and therefore can be initiated later

and because of that the memory addresses are not in a continuous format

[covert berry]

that sounds new for me tbh

i'm told that in C#, arrays are stored continously

therefore fixed

[stray notch]

i don't know about c#

[covert berry]

and they use algorithms to locate indeces if it's multi dimensional

[stray notch]

but in java this is how it works

[covert berry]

cool

i suck at installing stuff

so i chose cs over java

lol

[stray notch]

i know this is for sure in c and c++

[covert berry]

neat stuff

there is an odd number of negative roots I think

[alpine sable]

this has been bugging me for a while now. when do I distribute the minus over the numerator and when do I not?

[rigid smelt]

when you feel like so

its not wrong to just put it in front of the fraction

[past bramble]

when you have a fraction it has brackets

so if you have a minus in front of a fraction

its like you have -(fraction)

some teachers want you to remove the minus to have the most simplified solution

but tbh it doesnt matter its the same

[alpine sable]

so if the minus sign is beside the fraction (the div line ____) it's like -(the fraction) ?

[past bramble]

yea like in exercise a

[sudden crater]

Could I get help after this?

Any idea how to solve Q12 without calculus to graph the function?

[lethal stump]

honestly i don't think there's any other way

[past bramble]

You got the answer by any chance?

[vale wigeon]

i don't think it's possible without calculus

you will need the turning points, one way or another

[woven sphinx]

@sudden crater you could always use the discriminant of the quartic (which IIRC doesn't involve calculus), but considering the discriminant has 16 terms it seems quite unwieldly.

[vale wigeon]

i mean ok like

you can graph y = 3x^4 + 4x^3 - 12x^2

and this factors

...probably

,w factor 3x^2 + 4x - 12

wait no

[ocean seal]

Results provided by WolframAlpha

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

Requested by Ann#0413

[vale wigeon]

hrm. no nice factorization then.

[woven sphinx]

that, or you could use the general formula for the quartic if you're a maschoist.

have fun!

[vale wigeon]

@sudden crater is there a requirement not to use calculus?

[woven sphinx]

But seriously, if you cannot use calculus I would just stick with finding when discriminant of quartic<0.

[lunar vigil]

i need help

what

is

1 +1

[alpine sable]

isnt that just like 2?

can someone help

[sudden crater]

Well someone else asked me this, and I don’t think they know calculus

It also came under the factor theorem remainder theorem chapter in their book for some reason

[sudden crater]

That could possibly work, but I don’t think the textbook would ask such a thing and not mention the discriminant at all
I’ll try it soon though

[woven sphinx]

0 mod 2, duh

[sudden crater]

Duh

[woven sphinx]

did the textbook mention vieta? might be somehow related to that

[sudden crater]

I don’t think so

but I’ll inquire

[noble sinew]

what is the problem with 3x^4+4x^3-12x^2=x^2(3x^2+4x-12) - here we notice that the only way it has more than 2 solutions is if k>=0 (if k<0 then x^2 would have to be negative for it to have more than 2 solutions - which isn't possible)

[sudden crater]

They aren’t online now though

[noble sinew]

if k=0 then it only has 3 solutions (zero rule - x^2=0 only has x=0 as solution)

if k>0 it can have 4

now we just need to find an upper bound on k

[sudden crater]

Thanks, that makes sense!

How would you find the upper bound though?

[lethal stump]

😎

[noble sinew]

its something with 3x^2+4x-12-k=0 the positive solution is equal to 1 when k=5 and when k>5 the positive solution is <1 which then when you multiply by that by x^2 it makes it impossible to find such a solution - idk a good argument or even how you would think of that though - if you aren't allowed to use vertex/min and stuff like that

[nova anvil]

bruh what

anyone can help for c? I am so far doing this

trying to show that A is the limit of the A_n

what i got so far but yea i cant show A is in A_n^\ep

[sullen nova]

YOO

how tf

<@&286206848099549185>

@vale wigeon

how to fking draw an ellipse?

[vale wigeon]

........

define "draw"?

do you mean draw on paper

[sullen nova]

yeah

[minor heath]

2 pins, thread, and a writing material if u want it to be perfectly drawn

[mortal wraith]

https://cdn.discordapp.com/attachments/813008603363016737/854676518432014336/unknown.png which one convergent or divergent

[sullen nova]

Who tf brings an entire set of tools to draw an ellipse on exam?

[nova anvil]

lol

[vale wigeon]

and who brings a compass?

on an exam a rough sketch is enough so long as you get shit like vertices right

[sullen nova]

How to draw with a compass?

It doesn't have to be perfect

[woven sphinx]

i do, its a must have for olys

cant actually solve a problem without making diagram as good as possible to find interesting observations n go from there

[alpine sable]

The sum of a number and its square is 16. Calculate this number.

what am i doing wrong?

[gray isle]

what are all the choices

[alpine sable]

these are all choices

[gray isle]

1 2 and 0?

[alpine sable]

yep]

[high wolf]

hi question, what does the square bracket and the ' represent?
$\frac d {dx} [cf(x)] = cf'(x)$

[ocean seal]

plain

[gray isle]

are you sure you copied the question down correctly? 0 ,1, 2 don't make any sense as answer options for that.
in this context, [] are used as grouping symbols
' is Lagrange notation for the derivative

in this case, f' is the derivative of f

[high wolf]

is f'(x) exactly the same as d/dx f(x)?

[gray isle]

yes

[high wolf]

phew okay thank you!

is there a thank you you've answered my question system here?

[gray isle]

no points system

[high wolf]

okay haha thanks

[gray isle]

thanks is good enough

[hollow peak]

My teacher asked me why we could divide by dy and I have absolutely no idea? Can anyone explain?

he says it’s 0 so the proof is not complete

[high wolf]

is this the correct way to write this?

[sullen nova]

My ellipse looks like a potato

[undone dock]

The second derivite of f(x) is notated as [d^2/dx^2]f(x)

[gray isle]

$f''(x) = \dv[2]{x}f(x)$

[ocean seal]

ℝamonov

[high wolf]

oh lol right why did i forget that

also why is your texit black on white background?

[carmine lion]

u can customize

im getting light mode tingles

🥶

[hoary swallow]

can anyone help pls?

[glass lichen]

what have you tried?

[random pelican]

Can anyone send me the name of this content? Than I can google it better

Or send a YT Link explaining it, ty

[hoary swallow]

im not sure where to even start

[glass lichen]

ok well when you do the y=vx method, you differentiate both sides wrt x, treating v as a function of x

then turn the DE into one relating v and x

[hoary swallow]

right ok ill give it a go

ty

[random pelican]

Can anyone help?

[random pelican]

<@&286206848099549185> Sorry for the ping, but could anyone send me the name of this content than I can learn it? I've googled alot of things that I tough was it but it wasnt

[glass lichen]

wait 15 mins to ping helpers

[random pelican]

Ok

[sharp sable]

Oh

It's flipped

Sorry

[rose imp]

,rotate

[sharp sable]

So anyone knows?

[rose imp]

gradient is slope

[sharp sable]

Yes

[rose imp]

2 lines are parallel if slopes are equal

and perp if slopes multiply to -1

solve

[sharp sable]

Ok

[hoary swallow]

is there any way to do this without using binomial theorem (as it would take a while to do it that way i think)

[oak chasm]

@hoary swallow If j is the square root of -1, you can convert to polar coordinates, take the radius to the 12th power, multiply the angle by 12, and convert to rectangular coordinates.

[hoary swallow]

tyty

that makes sense

[oak chasm]

@frank knoll So, is the first statement consistent with the problem statement?

[frank knoll]

[hoary swallow]

so i got the polar coordinates as: (1.0296, -1.06°) where would i go from there?

do i multiply that by 12 and convert to rectangular form?

[oak chasm]

@hoary swallow Just so you know, it's -1.06 radians.

Now, you take the radius, 1.0296, and take it to the 12th power to get your new radius.

Then, you take the angle, -1.06, and multiply it by 12 to get your new angle.

Then you convert to rectangular.

[hoary swallow]

thank you i appreciate it ^^

[oak chasm]

No problem.

[marsh hornet]

can somebody help me ?

[high wolf]

why does b move to the fraction? any video for me to learn this?

[gentle flame]

Let u = bx and then integrate

Look up integration by u substitution, that might help

[oak chasm]

@high wolf Sorry, channel is busy.

[high wolf]

sorry, didn't notice, also thanks

[oak chasm]

@marsh hornet You'll get this as n goes to infinity:

[ocean seal]

Chai T. Rex

[unreal stream]

Anyone know function like this f(g(x))

[oak chasm]

@fallen birch @unreal stream Sorry, channel is busy.

[unreal stream]

Okok

[marsh hornet]

@oak chasm I've found the value of x

[oak chasm]

Solve the last equation for a.

x is an arbitrary limit it converges to.

[marsh hornet]

like this ?

sorry the second line is wrong, forgot to delete it

[ocean seal]

Chai T. Rex

Chai T. Rex

Ulquiorra

[oak chasm]

Oh, wait, that was the wrong question.

a is inside the square root, so we want a to be greater than or equal to zero.

[ocean seal]

Chai T. Rex

[oak chasm]

Solve that.

Oh, wait.

Never mind.

Don't solve that 🙂

Sorry, I'm getting tired.

The innermost square root has a in it.

a must therefore be at least zero.

If a is at least zero, all the other square roots will have something nonnegative plus sumething nonnegative.

So, isn't a being at least zero the answer to make it converge?

If it's less than zero, you get complex numbers.

Seems like an easier problem than I thought unless I'm misinterpreting it.

[marsh hornet]

it's okay, thank you for helping me

[oak chasm]

No problem, but is that the answer?

,w N[Sqrt[a + Sqrt[a + Sqrt[a + Sqrt[a + Sqrt[a + Sqrt[a + Sqrt[a]]]]]]]] where x = 12345 where a = x^2 - x

[ocean seal]

Results provided by WolframAlpha

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

Requested by Chai T. Rex#7323

[oak chasm]

You can make it converge to lots of different numbers depending on the a value, but a has to be greater than or equal to zero.

[marsh hornet]

so every a greater than or equal to zero, makes x converge ?

[oak chasm]

x isn't involved.

[ocean seal]

Chai T. Rex

[marsh hornet]

oh i see

[pale terrace]

The volume of a parallelepiped formed from vectors a, b, c can be found using the
formula V = a⋅ b×c. Determine the volume of a parallelepiped formed by
a = 1, −3, 4 , b= 0, 2, −8 , c = −3, −4, 7 .

Can I simply foil those three vectors to get my answer

[sharp basalt]

how would you do this?

[jaunty plover]

I think I know a way but it's too messy

[ancient creek]

draw a line from the top left vertex to the bottom right vertex. You will get two triangles. Use law of cosines to figure out the length of their sides. then use Heron's formula to find their areas

[jovial violet]

Hi guys could I please have some assistance?

Given the equation r cos (180 - w) = y

Verify in no more than 4 steps the following identity by dragging the steps to be followed in order to show the L.H.s is equivalent to the R.H.S

r cos (180 - w) = y

r cos (180 - w) = -r cos w

I have no clue whats going on here

@gentle flame nvm its here

[gentle flame]

What is y? it doesn't feel like we have enough information

[jovial violet]

The angular velocity ω of each person riding a carousel is the number of degrees, or radians, that a point on the edge of the carousel moves in a unit of time. You can use the equation y = -r os w

[unique kayak]

y shouldn't matter, but I recommend having a look at the cosine function and seeing how it changes in intervals of 180°

[jovial violet]

where r is the radius of the circle, to sketch a graph representing the position of a person on the carousel with respect to a stationary point every 60 seconds. this has matters?

cause im suppose to say the steps

[gentle flame]

Yes, this most definitely matters

[jovial violet]

to proving

[gentle flame]

Are you sure it's not $\cos (180 - \omega t)$ here

[ocean seal]

wermos

[jovial violet]

or yall want me send the whole thing? T-T

The angular velocity ω of each person riding a carousel is the number of degrees, or radians, that a point on the edge of the carousel moves in a unit of time. You can use the equation y = -r os w

where r is the radius of the circle, to sketch a graph representing the position of a person on the carousel with respect to a stationary point every 60 seconds.

Given the equation r cos (180 - w) = y

Verify in no more than 4 steps the following identity by dragging the steps to be followed in order to show the L.H.s is equivalent to the R.H.S

r cos (180 - w) = y

r cos (180 - w) = -r cos w

[gentle flame]

Send it once, just to be safe

[hollow siren]

hi

can anyone help

[jovial violet]

IM suppose to list 4 steps

[hollow siren]

letter F

[unique kayak]

Again, you should be able to prove that this is true without any other context

[jovial violet]

ohh but they're asking me to tell them the steps

asking if step 1 is conjugate,double angel,trig ratio etc

here u go

[unique kayak]

Oh, it's formulated like that

[jovial violet]

yeahhh

[gentle flame]

Yeah

[unique kayak]

Damn, that sucks

[gentle flame]

It's a lot simpler knowing this

[gentle flame]

And this

[jovial violet]

yeahhhhhh my teacher makes stuff all the more confuses

confusing*

[gentle flame]

What is this "conjugate" identity? afaik, that's not standard terminology

[jovial violet]

the conjugate of x+y is x−y . We can also say that x+y is a conjugate of x−y . In other words, the two binomials are conjugates of each other.

im as confused as u are

[unique kayak]

That's what you'd be using with complex numbers, why is that here?

[jovial violet]

I just think thats their for fodder but u have to pick the right 4 out of them

not that it may be correct

[gentle flame]

I'm not really sure what your teacher wants you to do. It's an identity that cos w = - cos (180 - w)

And this pretty much proves the proposition straight up

[unique kayak]

I'm terribly sorry, but none of those options make even the slightest sense to me

[gentle flame]

Same

[jovial violet]

could u help with this one instead?

cause that other one is confusing the shit out of m

[gentle flame]

Why are you asking Physics questions here 😂

Hold on, let me remember my AC stuff

It's been a while

[jovial violet]

bro im an electrical engineer lmao

[gentle flame]

What's the maximum value of sine?

[jovial violet]

well persuing it

[gentle flame]

That'll help you find the peak value of the current

[jovial violet]

it wasnt stated

[unique kayak]

We can try seeing which ones dont make any sense: conjugate doesn't make sense here, double angle doesnt, there's nothing we can cancel, trig ratio i don't know what it is, pythagorean identity won't help us equivalent fractions don't appear, there's nothing to calculate, FOIL I don't know, there's no perfvect squares involved, there's nothing to factorise, multiply might be something, co-function identity might be something, there's nothing to expand or simplify, nothing to distribute and compound identity i dont know

[gentle flame]

You should know

[jovial violet]

ohh lmao bet

[jovial violet]

120 aint it ?

jp i mean 1

[unique kayak]

yea, the maximum value for sine is 1

[jovial violet]

righttt

[gentle flame]

Correct

[jovial violet]

but Idk how its suppose to help me T-T

[unique kayak]

120V is the peak voltage

you already got it

[gentle flame]

Yep

[unique kayak]

nvm

120 amps is peak current

[gentle flame]

Amps

[unique kayak]

voltage isnt mentioned here lul

[jovial violet]

SO Thats the peak value? T-T

[unique kayak]

yea

[gentle flame]

$I = I_0 \sin (\omega t + \phi )$

[ocean seal]

wermos

[gentle flame]

That's the general formula

I_0 is the peak current, omega is the frequency, and phi is the phase

[ionic tartan]

What is everyone’s background in maths? Are we all students or what.

[jovial violet]

We are

[gentle flame]

Hehe

Just ask

[unique kayak]

I'm an undergraduate

worst decision of my life so far

[gentle flame]

Freshman in math, almost a sophomore

[ionic tartan]

Is anyone from UK?

[unique kayak]

not me

[gentle flame]

Nah

[ionic tartan]

USA?

[gentle flame]

I wish lol

[unique kayak]

neither that

[jovial violet]

how do i find the frequency

[ionic tartan]

What level of math do you do? Like right now.

[jovial violet]

im on 30 minutes left

[jovial violet]

physics and pure

[unique kayak]

you think about what the angle velocity is there

it's 2pi * frequency

turn it around and that's your frequency

[gentle flame]

The question isn't really well-formed. I mean, what is theta?

[gentle flame]

That's the angular frequency

$\omega = 2\pi f$

[ionic tartan]

I’ve just passed my engineering maths graded unit. Stuff like trig equations, integration, differentiation. What level of maths is that for you guys?

[ocean seal]

wermos

[unique kayak]

that's 1/3 theta

[winter rock]

Hi,

[gentle flame]

High school, ngl

[ionic tartan]

Really?

[winter rock]

Is that right pls?

[ionic tartan]

That’s higher for me.

[gentle flame]

Yes

[jovial violet]

frequency * 2pi

[pliant estuary]

Use different channels please if you just want to talk to people

[unique kayak]

yes

[ionic tartan]

Okok my bad

[winter rock]

Am I right pls?

[unique kayak]

so divice the angular velocity by 2pi and you have your frequency

[gentle flame]

Let's move to #chill

[unique kayak]

Use another channel pls

[winter rock]

pls bois got an exam tomorrow

I wanna know if I understood that at least

[jovial violet]

the angular velocity is there?

[pliant estuary]

move it to another channels, this one is occupied

[unique kayak]

(1/3 theta)/2pi

[winter rock]

K boss

[unique kayak]

we don't know what theta is, so we can't say what exactly it is

thanks marejak

[jovial violet]

this is my final exam so thanks man im shitting bricks rn

[unique kayak]

periodic time is the inverse of frequency, the phase shift stuff is a bit weird

Wait that's an exam?

[jovial violet]

yuppp

[jovial violet]

0.05

well a test

[jovial violet]

not exam but it's open book

nah its open book like a group project

[unique kayak]

okay, then consider us a group

[jovial violet]

we're allowed to help eachother

yeah but my classmates dont know shit thats going on T-T

That's why im here

[unique kayak]

What exactly do they mean with magnitude and direction of phase shift?

[jovial violet]

2pi * frequency so this is the period calculation

[unique kayak]

the phase shift is +pi/6

[jovial violet]

the + is a typo?

period time 1/10pi in that case

[unique kayak]

the phase shift is independent from the period

it's like if you had a linear equation ax+b the phase shift is the b

[jovial violet]

oh but im saying i got 1/10pi for periodic time

[unique kayak]

Oh yea, that might be true, what's theta again?

[jovial violet]

so what does the + mean?

[unique kayak]

its positive

[jovial violet]

we dont know theta remember T-T

[unique kayak]

but then your frequency is this

and the inverse is 2pi/(theta/3)

[jovial violet]

OH so thats the period time?

[unique kayak]

yea

or more simplified 6pi/theta

the phase shift is again, pi/6 and it's positive ( I hope that's what's meant by direction ) and I have no clue what's meant by vertical shift

[jovial violet]

and the magnitude would be?

[unique kayak]

the magnitude is pi/6

the direction is positive

[jovial violet]

shift is up or down

i believe

[unique kayak]

No clue what's meant by that, honestly

[jovial violet]

the 6 is?

[unique kayak]

no it's pi divided by 6

the same with the others

I use / as "divided by" to imply a fraction

[jovial violet]

ohhh I understand

[unique kayak]

I don't wanna have to write $\frac{a}{b}$ everytime

[ocean seal]

ΛV

[somber spoke]

https://youtu.be/C8M_ErBgCV8

I understand the first solution until it says that there are only 2 solutions

I dont understand how he got that

[unique kayak]

There's question being asked here, please refer to another empty channel, or if none are available, please wait your turn

[somber spoke]

Ok

[unique kayak]

@jovial violet The vertical shift might mean the range in which the values of the exuation lie

equation

but then the direction doesn't make sense

[gentle flame]

The vertical shift, if I understood the question correctly, is 0

[unique kayak]

Oh fuck I get it

Yea, what he's saying

[jovial violet]

huh

[unique kayak]

it's 0

[jovial violet]

The amplitude is 4 ii. The period is 2 pi

   ii. Hence, the equation of the wave is Answer

[unique kayak]

?

[jovial violet]

y=4sin(θ) is what i have s ofar

[unique kayak]

Is this a new question?

[jovial violet]

and the magnitude?

[jovial violet]

yup

[unique kayak]

did you get the other one

[gentle flame]

afaik, "vertical shift" is not a commonly-used term in the context of ac

[unique kayak]

ark, use cosine instead, it's much easier

[gentle flame]

So I'm not sure what they mean, but if it means what I think it means, then "direction" makes no sense

[unique kayak]

if you're allowed to

[jovial violet]

okie

[unique kayak]

what did you put for frequency and periodic time

and direction

jesus

[jovial violet]

aww come on what did i do wrong

[unique kayak]

a lot

You misread the things I wrote

[jovial violet]

shit

i only have 13 minutes left

rephrase that 10*

[unique kayak]

frequency is $\frac{theta}{6pi}$, periodic time is $\frac{6pi}{theta}$

[ocean seal]

ΛV

[unique kayak]

for the phase shift, I recommend writing it as pi/6, that's harder to misunderstand

[jovial violet]

but it never stated what theta was yk thats why im probably stuck

[unique kayak]

yea, so just write theta into your answer

if they don't care what theta is, neither do we

phase shift direction is "+", vertical shift is 0 and "+" again I hope

[jovial violet]

oh you're not telling me to calculate right?

just put in there?

[unique kayak]

back to the second question: your answer is mostly right, but it's shifted