help-0

[inland plank]

do you know the tangent equation formula?

[sand pawn]

tell me the equation of straight line

[sudden minnow]

is equation of a straight line same as linear equation?

y=mx+b?

[lyric gull]

Writing the equation of a secant line

[sudden minnow]

y-y1=m(x-x1)

[lyric gull]

@sudden minnow how can I join a help channel?

[sudden minnow]

you see the help with no names, u post ur question there

[lone heart]

@sudden minnow Has your question been resolved?

[sand pawn]

yes! It is right

[sand pawn]

oh so you know them

then, also you should know the perpendicular formula right? @sudden minnow

[sudden minnow]

u mean normal line?

i know the formulas i dont know what to do

[sand pawn]

yeah

tell it

@sudden minnow

[sudden minnow]

its this but u flip the m

the prime

u flip the prime

y-y1=1/f'(x) (x-x1)

[sand pawn]

Ok, I believe you know them

nah nah

m(y-y1)+(x-x1)=0

@sudden minnow

Now, find the derivative of this function

[sudden minnow]

so what do i do?

[sand pawn]

then tell me answer

[sudden minnow]

72y^3 - 72y^2 + 34y -6 ?

[sudden minnow]

.

[sand pawn]

Now, input the value

[sudden minnow]

488

[sand pawn]

Ok

Now, input the value in this equation too

[sudden minnow]

input 488 in where? the x=(4y^2....?

[sand pawn]

Put the value 3 in this equation too

you find a value 'x'

that is out x1 and y1=3

from there, continue on!

[sudden minnow]

so y-3=m(x-488)?

[sudden minnow]

.

[sand pawn]

bruh

[sudden minnow]

same

[sand pawn]

m=488

🤦‍♂️

[sudden minnow]

ohhh

i taught x=488 cause x=(4y^2...

[sand pawn]

bruh

🤦‍♂️

[sudden minnow]

mb

🥹

[sand pawn]

x1=784

[sudden minnow]

how did you get that?

[sand pawn]

bruh

put the value of 'y' in that equation

you will find a value for 'x'

[sudden minnow]

i put 3 in the 4y^2?

[sand pawn]

yes

[sudden minnow]

and it lead me to 488

where did 748 come from?

[sand pawn]

🤦‍♂️

How?

[sudden minnow]

oww wait i miss wrote something

[sand pawn]

bruh

🤦‍♂️

[sudden minnow]

i still cant get 748 .-.

[sand pawn]

Give a pic of what you have done

@sudden minnow

[sudden minnow]

ok i found the problem

[sand pawn]

what is it?

[sudden minnow]

derivative of 16y^4

[sand pawn]

bruh

I am saying, PUT THE VALUE OF 'Y' IN THIS EQUATION

y=3

put it there 👆

what value of 'x' you find?

[sudden minnow]

784

[sand pawn]

FINALLY!!!!!!!!!!! 🤦‍♂️

so, x0=784, m=1392, y0=3

[sand pawn]

put them all in this equation

@sudden minnow

[sudden minnow]

ok now where did we get 1392

[sand pawn]

here

[sudden minnow]

there was a problem with that sol

i didnt derive it correctly

[sand pawn]

ok, then fix that and that will be the value of 'm'

[sudden minnow]

1176

[sand pawn]

so, m=1176

[sand pawn]

now put it in here

[sudden minnow]

x0=784, m=1176, y0=3

[sand pawn]

yes!

[sudden minnow]

now what?

do i put in equation and thats tangent line?

then for normal i just flip the m?

[sand pawn]

YES!

[lone heart]

@sudden minnow Has your question been resolved?

[tawdry pulsar]

is this channel available

[lone heart]

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[lone heart]

@iron cloak Has your question been resolved?

[iron cloak]

<@&286206848099549185>

[lone heart]

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[upper lichen]

the instructions are on the top and the problem is down below. Its for a philosophy class but this part itself is primarily discrete mathematics

[lone heart]

@upper lichen Has your question been resolved?

[upper lichen]

<@&286206848099549185>

[upper lichen]

<@&286206848099549185>

[upper lichen]

.close

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[rose sigil]

if there's a k in N such that x_k > 8, then x_k = epsilon + 8 for some epsilon > 0

and if (x_n) is increasing you can get a contradiction from there

@bleak latch does that sound ok?

[bleak latch]

hm i kinda understand

but then after that what

[rose sigil]

after what?

[bleak latch]

where is the contradiction

[rose sigil]

since (x_n) is increasing, x_n >= x_k for all n >= k

[bleak latch]

tahjnks

.close

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[bleak latch]

thanks

[rose sigil]

np 🙂

[lone heart]

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[alpine sable]

This is for factoring polynomials completely. I don't understand why the final answer factored down (y^2-4) for difference of the square but did not factor down (y^2+4) which is also a difference of the square

[lyric stream]

you cant factor y^2+4

with reals

if you apply the quadratic equation u'll get x=2i or x = -2i

[alpine sable]

Hmm, is there a topic term I can go look up and read about so I can understand the difference

[lyric stream]

the roots arent real numbers

[lyric stream]

urm discriminant of quadratic?

im not sure exactly, but the difference of squares is for a^2 - b^2 not a^2 + b^2

[alpine sable]

okay thank you!

.close

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[rancid wolf]

can someone help

[rancid wolf]

wrong channel twin

half

what? 💀

.close

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[mossy pagoda]

Is this the same as 75 mod 7 = 45 mod 7 because of the parentheses?

[mossy pagoda]

I know what the answer is im just confused by the parentheses around the mod 7 bit

[wheat valley]

hey guys , can someone explain to me how the arcsin(x) give us 1/sqrt(1-x2) ?

[lone heart]

@mossy pagoda Has your question been resolved?

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[magic lava]

kindly help

[last ether]

What's with the marks

[alpine sable]

homework/exam

probably

[last ether]

Well yeah I know it's graded

But what kind of assignment

[alpine sable]

from past observations, test-takers would be way way more urgent and demanding due to limited time

[last ether]

True

Still gotta make sure

[alpine sable]

Oh there you go, thats the test taker @last ether

lol

[last ether]

#❓how-to-get-help

And

Well

No

That's something google can do

[alpine sable]

...how old are you even?

[last ether]

#❓how-to-get-help

[alpine sable]

okaaaay

[last ether]

LOL

<@&268886789983436800> L bozo

[alpine sable]

<@&268886789983436800> troll

[last ether]

You act like you're 8

Is this an alt

Lol

Yeah alt

[alpine sable]

Haha that was funny to see him desperately try to prove himself but still getting banned anyways

[last ether]

<@&268886789983436800> alt account

[alpine sable]

<@&268886789983436800> round 2 electric boogaloo

[mossy pagoda]

.reopen

[alpine sable]

wow, this sure is an interesting night...

[last ether]

One of the most channels of all time

@magic lava well it got ruined

Might as well close this and open a new one

[alpine sable]

yeah soz

[magic lava]

.close

[lone heart]

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[rancid wolf]

Am I in the right here?

[serene junco]

Yes

Reflections maintain congruence, and dilations maintain similarity

So the new triangle is similar to the old one, meaning the angles have the same measure

[rancid wolf]

thank you

I appreciate your help!

[serene junco]

👍 no problem

[rancid wolf]

.close

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[undone geyser]

hey

[undone geyser]

this is more of a cry for help than a question

wait is this channel taken

ah

np np

anyways

anyone kind enough to explain the method of descent

cuz i'm legit so lost

method of descent as in

method of descent to prove mathematical statements

[fallen verge]

do you have a problem set or are you just studying on your own?

[undone geyser]

just studying on my own

not focusing on a certain problem rn just trying to understand the concept

[fallen verge]

hmm

alright

[undone geyser]

so?...

[fallen verge]

lemme try to think of an example

[undone geyser]

sure tyt

[fallen verge]

sorry i got busy, i have to go

[undone geyser]

np

.close

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[nova cloud]

Dont know how to do this question or how to find the constant of proportionality

[lone heart]

@nova cloud Has your question been resolved?

[stiff tree]

I need help

[nova cloud]

https://cdn.discordapp.com/attachments/490557019623915520/1035721886761504848/unknown.png

Dont know how to do this question or how to find the constant of proportionality

[lone heart]

@nova cloud Has your question been resolved?

[nova cloud]

<@&286206848099549185>

.close

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[latent mica]

need help

[latent mica]

no one knows

big L

[abstract fractal]

What have you tried

[neon scarab]

Hint: $$\tan (A + B) = \dfrac{\tan A + \tan B}{1 - (\tan A)(\tan B)}$$.

[ocean seal]

jimmy1234

[latent mica]

drew two triangles

found the third angle

[neon scarab]

And consider that A is in quad 1, you can find tan A with the given cos A.

[latent mica]

i got

7/24 + 4/3

all over

1 - 7/24 * 4/3

reply time is ♾️

.close

.close

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[teal vector]

can anybody help me try to factor this polynomial expression?

[inland plank]

it requires trial and error

find divisors of 30, and try to divide the expression by x - divisor you found

[languid bolt]

divisors of 30 that when x is replaced by it, the equation becomes equal to 0 right?

[lone heart]

@teal vector Has your question been resolved?

[lone heart]

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[marsh sonnet]

Inside his closet drawer, Ben kept 4 pairs of black socks, 3 pairs of red socks, and 2 pairs of white socks. One morning he was in a hurry and picked up his socks at random.

How many socks should he take so that he must definitely get a pair of socks of the same color?

[languid bolt]

no need to close channels after every questions btw

you can just ask it all in one

[marsh sonnet]

oh ok sorry

[languid bolt]

issokay

no rules against it

[copper tangle]

lol there are like 3 pq channels

[languid bolt]

2 of them are already closed

so yeah

[small stirrup]

hello

[copper tangle]

yup

[small stirrup]

im new here what do i do here

[sour dove]

hello head over to #❓how-to-get-help

[marsh sonnet]

so how to do this

i got no idea

[gilded vessel]

well theres three types of colour sock

so the worst possible case is he picks up one of each type

wait is he picking up individual socks

well anyway he would pick up three individual socks of different colours

then the next sock he picks up would have to be the same as one of the already picked up ones

[sour dove]

yep that's the right idea. He would need to pick out 4 socks. The worst case is that he draws one color of each sock, which would be 3 draws. Then the 4th draw guarantees there will be a match. It might be sooner than the 4th drawing but 4 socks guarantees a match

[slate jolt]

this false information anyways there are only black socks in my drawer for exactly this type of reason (im always late)

[lone heart]

@marsh sonnet Has your question been resolved?

[sour dove]

4D chess. Just have the same colored everything

or just do what I do and grab whatever colored socks lmao

mix and match, live a little

[lone heart]

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[languid bolt]

Do you guys not have the socks in pair?

[lone heart]

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[languid bolt]

You do know that this isn't an iphone discord server right? This is math discord server...

[sleek yoke]

I’m resorting to my last measures

[languid bolt]

They have their own discord server

This is for mathematics related questions

[sleek yoke]

What’s it called?

Yeah ik, I tried asking in other servers but to no avail

I’ve spent one fking hour on this already

[sour dove]

bro

this is the second time. Don't tie up help channels

[sleek yoke]

The guy ditched me

Where am I supposed to go, what am I supposed to do, cry in a corner?

Maybe I should ask god

[sour dove]

I dunno

don't ask a math server though

try posting on reddit or something

[sleek yoke]

It’s the invisible skull lord

He’s returned

Omg

[sleek yoke]

Argh

Okay, I’ve been at this for 80 minutes already

[ruby current]

maybe try uploading it to Google drive or AirDrop it to your device from your computer

[sleek yoke]

Hmmmm good idea!

I’ll do that rn

Ty

Sadly I don’t have a computer

But I’m sure that will work

Since computers can save those types of images

[lone heart]

@sleek yoke Has your question been resolved?

[sleek yoke]

hmph

.close

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[grave niche]

Why do we sometimes place a 2 here and sometimes leave the 2 out (in 2kpi)

[serene junco]

sin and cos have a period of 2pi. tan has a period of pi.

[grave niche]

is this because Tan doesnt have a negative value?

Sin and cos are basically x and y. x and y can be positive or negative around the circle but bc tan isnt a x or y it can only realistically be a positive, and tan is only Positive on only one side of the circle, Q1 and Q3

[serene junco]

Well, tan can be negative as well, in the other two quadrants

It's true, like you said though. Tan is positive in Q1 and Q3. Which hints at the fact that it has restarted its period when it passes pi radians

Unlike sine and cosine which don't repeat until a full circle of 2pi radians

Notice that between the purple lines at x=0 and x=2pi, sin(x) completes one period while tan(x) completes two

[grave niche]

2pi is 360, and pi is 180, tan repeats when it becomes a positive again which is every 180 degrees of rotations so basically pi and sin and cos repeat every time they go around the circle so every 360 degrees which is 2pi bc 2(180)=360

[serene junco]

You mean sin and cos, but yeah that's true

[grave niche]

k ty

[serene junco]

👍 No problem, hope that explanation was clear

[grave niche]

yup it was, its easier to remember these things when you know why they happen and you basically explained it pretty clearly

[lone heart]

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[cerulean talon]

Can someone help me with parallel and perpendicular lines?

[cerulean talon]

.close

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[fierce hollow]

Is this an intergration by parts?

[sour dove]

yes, but not directly. It's a u-sub followed by IBP

[fierce hollow]

this is one that is a weird one though right

[sour dove]

Let $u = ln(z)$. Then $du = \frac{1}{z} dz \implies z du = dz$. But also since $u = ln(z)$, then $e^u = z$. So then $e^u du = dz$. Then we have $\int e^u sin(u) du$. Now you can do IBP

[ocean seal]

MellowDramaLlama

[fierce hollow]

and it needs to be done twice in this case

[sour dove]

yes correct

then you'll get back the the original integral

so I recommend labelling that as something like I

[fierce hollow]

so then to solve you divide by 2?

<@&286206848099549185>

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[ornate condor]

injective means the domain is one to one
surjective means each element in the co domain is mapped to by at least 1 element in the domain
bijective means both surjective and injective

[ornate condor]

that right?

whats wrong now

[vale wigeon]

"the domain is one to one" bad

[ornate condor]

injective means each element in the co domain is mapped to by at most 1 element in domain

[vale wigeon]

yes

but injectivity is a property of the FUNCTION not its domain

[ornate condor]

a function being injective means ...

ok

thanks

💕

.close

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[ornate condor]

for some curve c, what does it mean if c' vanishes? does it just mean its mapping to the same point?

[ornate condor]

in the interval at which c' vanishes

[lone heart]

@ornate condor Has your question been resolved?

[copper rock]

https://www.reddit.com/r/math/comments/jjdlf/what_does_it_mean_for_a_first_derivative_to_vanish/

[ornate condor]

so maps to 1 point in that interval?

[keen plinth]

if you have a curve c and c' vanishes

it means c doesnt have a well defined tangent vector

which is bad if you want to use the tangent vector to define a direction of travel

but its not too bad

[ornate condor]

errrr

yes

does it map to 1 point in that interval?

[keen plinth]

what

i feel like you're reading something wrong

[ornate condor]

:c

o

ye i think i get it

mayb

.close

[lone heart]

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[ornate condor]

thanks

[lone heart]

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[alpine sable]

Since English is not my first language, I just want to be clear with these basic stuff:

Here's an expression:
20 / 6 = 3 + 2/6

What is the quotient here exactly?

Quotient is "3+2/6"
Remainder is "2"
and could we say that "quotient without remainder" is 3?

[marsh rapids]

there's 2 quotients here as it is written: 20/6 and 2/6

[naive valley]

normally when talking about "quotient and remainder" with respect dividing two integers m/n, the quotient refers to the floor of (m/n) and the remainder refers to (m/n - quotient)*n

so in this example, the quotient would be 3 and the remainder would be 2

[alpine sable]

@naive valley
ok, got it,
but then I have another question:

20/6 = 3.333
then how do we call "3.333"
if the quotient refers to the floor of 20/6?

[naive valley]

i guess i'd call it a decimal approximation to the ratio 20/6

[lone heart]

@alpine sable Has your question been resolved?

[alpine sable]

so easy

bro

[alpine sable]

From this link
https://www.cuemath.com/numbers/quotient/

The quotient can be an integer or a decimal number. For exact divisions such as 10 ÷ 5 = 2, we have an integer as a quotient, and for divisions such as 12 ÷ 5 = 2.4, the quotient is a decimal.

I know that you said "normally"... but idk, I thought those terms were precisely defined in math.

@naive valley
but I appreciate your help
thanks!

[naive valley]

yea, "quotient" is an overloaded word, it can mean either the ratio or the floor of the ratio depending on context

see the division algorithm for one of the contexts where quotient and remainder mean what i described above: https://en.wikipedia.org/wiki/Division_algorithm

[lone heart]

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[indigo lotus]

what does this mean?

if A and B occur together then they have to occur at the same time too right?

?

<@&286206848099549185>

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@indigo lotus Has your question been resolved?

[lone heart]

@indigo lotus Has your question been resolved?

[lone heart]

@indigo lotus Has your question been resolved?

[ionic osprey]

Im not sure what you are looking for exactly but the answer to your second question is no. Maybe think about it like this A is you bought a house B is you bought a car you don't necessarily have do that at the same time.

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[hexed hawk]

hi

[hexed hawk]

CAN SOMEONE HELP ME CONDUCT DERIVATIONS?

PLEASE HELP CONDUCT A DERIVATION

<@&286206848099549185>

[lone heart]

@hexed hawk Has your question been resolved?

[hexed hawk]

<@&286206848099549185>

.close

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[vale wigeon]

@strange tiger exact value of what?

[strange tiger]

wait il paint

it says i need to find the exact value

[vale wigeon]

so your previous pic had nothing to do with this

[strange tiger]

i sent wrong imafge

if i delete mesage pin disapeer

[vale wigeon]

ok

so does this ring any bells?

perhaps you might know a trigonometric identity that involves tan

[strange tiger]

ya

very interesting math \

[vale wigeon]

...

okay, let me be more direct...

do you know the angle sum formula for tan?

[strange tiger]

Yes

[vale wigeon]

okay, then what is causing you trouble?

[strange tiger]

its very confusing

[craggy token]

do you know the angle sum formula for tan?

Yes

[strange tiger]

yes

very interesting

[vale wigeon]

you know the formula tan(x+y) = (tan(x)+tan(y))/(1 - tan(x)tan(y)), but you are unable to match it to the expression you have.

do i understand correctly?

[strange tiger]

no problem right now

very confusing to make

[craggy token]

do you not recognise the similarity between this

and this

[strange tiger]

hello

yes

because new topic makes me confusing this one

[craggy token]

so to summarise, you know the angle sum formula for tan, correct?

you know tan(x+y) = (tan(x)+tan(y))/(1 - tan(x)tan(y)), yes?

[strange tiger]

okay

[craggy token]

can't you connect that formula with this?

[strange tiger]

can ya

[craggy token]

sigh

[strange tiger]

why

sorry

[craggy token]

how would you write this as tan(x+y)?

[strange tiger]

is addition identity

[craggy token]

yes...

[strange tiger]

i think

tan 180?

i dont know

[craggy token]

and how would you write that in the form of tan(x+y)

[craggy token]

yes

and what is tan(180)?

[strange tiger]

yes

[craggy token]

...

i asked what is tan(180)?

[strange tiger]

value

is

i still dont understand'

[craggy token]

i think there's a language barrier

tan(180) = ...

[strange tiger]

sorry i dont know

[craggy token]

you dont know tan(180)?

the value of tan(180)

[strange tiger]

0

[craggy token]

yes

[strange tiger]

is that was answer?

[craggy token]

so 0 is the answer for this

[craggy token]

yes

[strange tiger]

is it supposed to have no solution?

[craggy token]

...

0 is the solution

you're asking the exact value of this.

[strange tiger]

understandment

[craggy token]

the exact value of that is tan(180) = 0

[strange tiger]

is it only a+b?

do i need to right in tan180 or 0 just

sorry i dont understand

[craggy token]

the exact value of this is 0

the result of it is 0

[strange tiger]

yes

[craggy token]

what do you not understand here

[strange tiger]

no problem i think

but how do i right

i understand now

your very strong

[lone heart]

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[rocky summit]

Hey math people!

[rocky summit]

Oh, I beat you to it @tiny junco

But I'll yield the channel to you

[tiny junco]

Damn thanks man

[rocky summit]

Just ping me when you want it closed

[tiny junco]

Alr! Ty :)

[last ether]

.close

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[cold panther]

basic question why is it 28/110 and not 14/55?

[high rapids]

I mean, both works

They asked you to simplify

[cold panther]

but i dont understand how u get 28/110

also isnt 14/55 the simplified version?

[lone heart]

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[ornate condor]

e^z has an isolated essential singularity at infinity right

[ornate condor]

like to get behavior of f(z) at infinity we consider the behavior of f(1/z) about 0.

laurent expansion of f(1/z) about 0 would be

$\sum_{n=0}^{\infty} a_{-n}z^{-n}$

[ornate condor]

so the principal part has an infinite number of terms

nvm

of course im right

lemme go back to my prev q

.close

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[primal galleon]

.

[primal galleon]

A marked area is bounded by the curves y = 9-x^2, x = 1, and the x-axis. Determine the volume of the body of revolution formed when the marked area rotates about the y-axis. Answer exactly.

[ancient saddle]

Hello, use the shell method

[lone heart]

@primal galleon Has your question been resolved?

[primal galleon]

could you elaborate?

[last ether]

You can google the shell method

[harsh girder]

$$V = \int_1^3 (9-x^2) \cdot 2 \pi x ,dx$$

[ocean seal]

秋水

[primal galleon]

where does the 2πx come from

so when we are calculating the volume that's parallel to the y-axis, we use the shell method?

[harsh girder]

you have two ways, you can use dx or dy

[alpine sable]

dgh

[alpine sable]

what is this

so hardf

[harsh girder]

https://www.youtube.com/watch?v=3B2YQbEzshg

[lone heart]

@primal galleon Has your question been resolved?

[lone heart]

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[silent owl]

so im having a bit of an issue with the following task:

You are driving towards a radar on a pole that is 7m over the ground, in the moment the car is 24m away from the radar, the radar shows the distance between you/car and the radar diminishes by 30m per second. How fast is the car? i

cant seem to formulate an expression of speed to solve this any help would be appreciated ! ^^

[silent owl]

I’ve been stuck at this problem for like 2 days

[lone heart]

@silent owl Has your question been resolved?

[silent owl]

hi im using this help tab it would be appreciated if you could delete your stuff and move it to another tab ^^

[near hollow]

what does it mean by diminishes?

#❓how-to-get-help

[silent owl]

decreases might be a better word

[near hollow]

what do you mean the radar decreases 30m per second tho?

[silent owl]

the radar shows the distance between you/car and the radar decreases by 30m per second.

im trying to find other wording to explain

[near hollow]

the part im trying to understand is what does it mean by the word decreases?

as in the dot on the radar is moving?

or the actual pole is moving?

[silent owl]

the car is moving

driving towards the radar

[near hollow]

yes and the radar shows where the car is

[silent owl]

yeah, and after 1 second the distance which is now 24 m will decrease by 30 m

[river kite]

I'm really sorry, my bad

[near hollow]

all good

[silent owl]

i should rather say in the direction of the radar

as the path of the car is CB

[near hollow]

is this what u mean?

[silent owl]

AC = pole

the radar(7m above ground) sits on top of a pole and judges the distance and speed of the which from its perspective is 24 m at the moment but after one second the distance between the car and radar has decreased by 30 m

based on this i have to find the speed of the car

[tender dew]

would that worked?

I think so

[alpine nacelle]

are you sure you meant decreased, Eleanor ?

[silent owl]

yes

[tender dew]

since position and velocity vectors are parallel

[silent owl]

which is why this is rather tricky

[tender dew]

not much I think

[silent owl]

its a multiple choice question and this is = 28.695

and thats not a answer unfortunatly

28.80 is though but still 0.1 off

[tender dew]

but it's just it

[silent owl]

how did you arrive at this equation?

[tender dew]

this is situation

we know that this 30m/s is parallel to 24

and we want parallel to the ground

and also we know that we can split 1 vector many more

as long as we sum all of them up the will put you from 1 point to the other

we need the blue one

and since both triangles (vector and distance have same angles)

[silent owl]

that does make sense

but the answer is unfortunatly not one the of multiple choices

[tender dew]

and what are there?

[tender dew]

what's radar frequency then?

[silent owl]

there is no frequency given

[tender dew]

thought it might be about doppler effect

[silent owl]

we are doing extreme value problems in my calc class

[tender dew]

so this one should be solved with derivatives as well?

[silent owl]

probably

ive spent like 2 days trying to find an equation related to speed

[tender dew]

just differntiate position

v = x'

[silent owl]

yeah and i need an expression for the position and i got nada

i tried to set up a random point d between a and b to find the ratio between CB and CD

but it didnt lead anywhere

[tender dew]

ok

I kinda reverse engineered things

and sqrt(24^2 + 7^2) gives up perfect 25

coincidence? I think not

because from then (24/25)*30 = 28.8 and

and (25/24)*30 = 31.25

and both were choices

[silent owl]

okay you got my attention

[tender dew]

we could assume it's 28.8 but that means :

that distance 24 is calculated from car to the pole (not radar itself)

[silent owl]

and the car to the bottom of the pole is 23 ish ( 22.956........)

[tender dew]

24

like I gave you picture

from radar to car would be 25

[silent owl]

okay

so its 28.8 then?

[tender dew]

IF my construction is correct

and that velocity is still measured between radar and car

but distance pole and a car

[silent owl]

Thank you for the help i appreciate it, ill try to solve it a bit more though ❤️

.close

[lone heart]

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[desert drum]

Im getting a zero gradient, what have i done wrong

[minor needle]

it's rather infinite than zero, but anyway it means line is vertical

[desert drum]

oh okay

[minor needle]

but idk what's the question

[desert drum]

im trying to find the equation of the median through c

so i think i need to sub my gradient and x, y, to get b, then put b into y=mx+b ?

[buoyant olive]

is that geometry?

[desert drum]

trigonomety

so i think so

[buoyant olive]

oooki

[desert drum]

heres the question if you want

[buoyant olive]

I might know what your on in terms of learning, because Im trying to get my geometry/trigometry done for alg2

let me find my notes

[desert drum]

okay

im revising for a test on monday

got radians, quadratics, polynomails, differenciation, and trigonometry

and straight line

now i think of it, this is straight line im pretty sure

[buoyant olive]

are you trying to solve it using Point slope form?

[desert drum]

whats that

we may call it something different idk

what is it

[buoyant olive]

y=mx-b?

[desert drum]

yea

thats what im trying to use

but

my m= 0/4?

so when i sub it in, i end up with y=b

which gives me 7=b

and thats useless as i need x, but x is zero/infinite

[buoyant olive]

interesting. I'll see if I can try to recreate this real quick

[desert drum]

okay sounds good

[river geyser]

you should be getting a different value for the slope

[desert drum]

for which part

[river geyser]

the slope of the line connecting median to C

[desert drum]

ill go through it again

do i do m2=-1/m1?

because so far im getting the same answer, im not sure where the mistake is

so do i get the perpandicular gradient?

[river geyser]

isnt it just y=2?

[desert drum]

ye

but i thought i got to do the formula

as it says find the equation

[river geyser]

that is the equation

[buoyant olive]

are you trying to find the equation, or cordinates of which C is on?

[desert drum]

i need to find the equation

of the median

of c

through*

[buoyant olive]

Try doing something like this, C = (x1 + x2)/2, (y1 + y2)/2

when I did it I used cords A and B as my x1 x2 and y1, y2

[desert drum]

yea i did that and got, (2,7)

[buoyant olive]

alright I got the same answer

[desert drum]

but then what

i tried getting a gradient

but it was a 0

[river geyser]

for the equation y=mx+b, you can set y = 2, plug in any value for x, and set b = 2 and it will give you 2=m(...) + 2 which tells you m=0

so that should be the correct equation

[desert drum]

yeah, i was just confused as the answer just says x=2

[river geyser]

y=2

[river geyser]

y=2 is an equation

[desert drum]

oh okay

was just confused as all it said was x=2

thanks a bunch

[river geyser]

np

[desert drum]

.close

[lone heart]

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[crimson barn]

Hi

[crimson barn]

Could I get into a call

And someone help? I prefer someone who talks over text

[lone heart]

@crimson barn Has your question been resolved?

[lone heart]

@crimson barn Has your question been resolved?

[lone heart]

@crimson barn Has your question been resolved?

[sand pawn]

You should post your question first

[crimson barn]

7 AND 8

[lone heart]

@crimson barn Has your question been resolved?

[late jay]

Delerik, where did you get that property to get the value of x?

[lone heart]

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[reef karma]

Help me solve mcq 9 kindly without calculator

[serene junco]

,rotate

[surreal meadow]

draw 2 right triangles that satisfy cot(a) = 1/2 and tan(b) = 1/2

it should then be clear that b = 90-a, so you end up with cot(2a + 90 - a) = cot(90 + a)

and use the cotangent angle sum formula

[lone heart]

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[lone heart]

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[atomic harbor]

So how do I find [\sum_{n=0}^{\infty}n(z-2)^n]

[ocean seal]

hungryfood

[atomic harbor]

So I first thought of

doing the following
[\sum_{n=0}^{\infty}n(z-2)^n =(z-2)\sum_{n=0}^{\infty}n(z-2)^{n-1} = (z-2)\sum_{n=0}^{\infty}\frac{d}{dz}(z-2)^n]

[ocean seal]

hungryfood

[atomic harbor]

but I'm not sure if this would work

Ik if u do it on real numnbers it would work

obviously

[mossy laurel]

It does work

[atomic harbor]

why

does it work on complex numbers

[mossy laurel]

Yes it does

[atomic harbor]

why?

[mossy laurel]

Because of the construction of power series in C

[atomic harbor]

o but isn't z = x+iy

[mossy laurel]

Yes

[atomic harbor]

maybe im thinking of complex functions

[mossy laurel]

There is a notion of derivation in C

[atomic harbor]

so its the same

in complex as in reals

and then there is cauchy riemann and e.t.c.

[mossy laurel]

Yes

[atomic harbor]

ok thanks

.close

[lone heart]

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[keen orbit]

is this right so far?

[tribal oxide]

I dont think it is

This part

[lyric stream]

du isnt 1/2x

[keen orbit]

sheit

I have du=2xdx

so I just put in 2xdx?

[lyric stream]

yes

ibp is uv - integral of vdu

[keen orbit]

oooh

[lyric stream]

its not u sub where u gotta find isolate dx

[keen orbit]

ooooh

got mixed up I guess

literally just put in du

without solving for dx

[lyric stream]

lol

[keen orbit]

XD

confuzzling

ty

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[surreal meadow]

do you know how to find eigenvalues?

[tepid frigate]

no, how do i do that?

am i supposed to solve this through guassian elimination?

[surreal meadow]

find the values of $\lambda$ that satisfy $$\text{det}(A-\lambda I)=0$$

[ocean seal]

maximo

[surreal meadow]

where I is the identity matrix

notice that A is triangular, so the determinant of A-lambda * I will just be the product of the diagonal of A-lambda * I

[tepid frigate]

okay thank you let me try solving it first

[surreal meadow]

also answered in #linear-algebra

[tepid frigate]

thank you!!!

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[alpine sable]

whats 2+2?

[alpine sable]

ok thank you.

48

my teacher will be very proud of me 🙂

[empty cedar]

https://tenor.com/view/math-zack-galifianakis-thinking-calculating-gif-5120792

[alpine sable]

i thought it was 22 or 4....

but i trust yall

gotchu

[tacit arch]

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[fierce hollow]

Can someone help me through the fractional deocmpsititon of this

[fierce hollow]

for some reason my signs were messed up

I got A and B both postive 1/8 when B is supposed to be -1/8

[surreal meadow]

can we see your work?

[fierce hollow]

so my 2 equations for A and B are

0 = -A + B

1= 8A

those came from the equations
8a-ap/p(8-p) + bp/p(8-p)

[tacit arch]

your fractions should be A/p + B/(p-8) and not (8-p) in the denominator

B=1/8 is correct for your decomposition

(1/8) / (8-p) = (-1/8) / (p-8)

[fierce hollow]

oh I forgot to post the orginal problem

that was just the intergral I was taking whoops

did dividing by 8p-p^2 cause a sign change?

[tacit arch]

the differential equation has nothing to do with what i said

[tacit arch]

did you read this

[tacit arch]

you changed the denominator here

[fierce hollow]

oh OOF

ok thank you

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[sudden star]

help

[sudden star]

there is a 3 digit number

[tacit arch]

🆗

[sudden star]

if i move first digit to last

the number will be decreased 144

[outer lark]

abc -> bca = abc - 144

[sudden star]

abc -> bca

abc-144

yup

tnx

but

i have to find numbers

[cinder egret]

100a + 10b + c - 144 = b 100 + 10c + a

[sudden star]

abc numbers

[outer lark]

Ye just writing it out so its easier to see

ok so

b = a-1 i thin

because its decreasing by >100

Soo like 32c = 2c3

Hmm

But then how do we get the 44

[sudden star]

yeah kinda difficult

[outer lark]

ah

Maybe its b-2=a and then we choose a higher number

53c -> 3c5

ok nice

So now

if we had like

, calc 395 + 144

[ocean seal]

Result:

539

[outer lark]

Nice

Solved

[sudden star]

wow

[outer lark]

Wait

Is it

I think

[sudden star]

are u genius?

tnx a lot

[outer lark]

Wait

Need to make sure of stuff

[sudden star]

but main problem is i have to write it on c++ using loop XD

[outer lark]

C++?

You making a game?

[sudden star]

nou

just programming math problem

[outer lark]

go python instead 😄

[sudden star]

nah

[outer lark]

U sure? The libraries are endless

[sudden star]

tnx i understand the math syntax

[outer lark]

Nice

At least you can flex your super speed with efficent c++ programming

[sudden star]

yeah

i like struggling xd

[outer lark]

My “slow” python code cant compete atm

[sudden star]

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[fierce hollow]

Question 2c

I already did the intergral

and got this

how do I do the rest of the question

[tacit arch]

is this an exam?

[fierce hollow]

nope

this is just praratice

[tacit arch]

oh do you need solve for p(t)?

[fierce hollow]

I think that might be what the question asked of me

this might be an inital value problem

but the problem is you can''t take ln(0)

thats undefined

the big hint is to use Seperation of Variaibles

[tacit arch]

you already did that

just use algebra to set your expression equal to integral dt = t

[fierce hollow]

yeah so now I have t =

do I use t= 2022 or t=0?

because I know this is probaly an initial value problem

[tacit arch]

which makes more sense to you?

[fierce hollow]

I can't use t=0

looks like I have to use t = 2022

I can take it from here.

.close

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[scarlet fox]

can anyone explain these

[scarlet fox]

dont see how the first partts = the second

[tacit arch]

which part

a?

[scarlet fox]

yes

please @ or reply me

😄

wouldnt it be something like this

whewres the 4a anyways

,help

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[lone heart]

@scarlet fox Has your question been resolved?

[supple cobalt]

is this about vectors or something?

or is it just simple algebra

[supple cobalt]

for a shouldn't it be a^2 + 5ab + 6b^2?

[scarlet fox]

im not sure

[scarlet fox]

vectors

dot prouct

[supple cobalt]

ohhh

the rest from (b) to (d) are correct

idk why (a) is like that

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[twilit rivet]

Are there any formula for this type of qs ?

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@twilit rivet Has your question been resolved?

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@twilit rivet Has your question been resolved?

[sour moat]

wut

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[hard garden]

Hiw can i prove this by induction?