precalculus

[odd ocean]

trust me there r lot of people who can make u feel dumb here easily its just about exposure

its just not a good way to discuss maths

[fluid sorrel]

Yaa she called me dumb even though I said it was typo error

But it's ok bcz i am the kind of person who gives no fk

[fluid sorrel]

Agree

I can tell it from ur bio

[jagged compass]

Why does she get into a misunderstanding or something like that everyday....

[odd ocean]

i am readin undergrad stuff rn but again there r lot of lot of cracked people here

who r actively involved in research

[fluid sorrel]

She be Badass

[fluid sorrel]

Fun 😸

[fast orbit]

can someone explain how a number is not in the complex number system?

[tulip tundra]

You thinking like this, or how the numbers are represented specifically?

Because 99 is in the set of complex numbers, as 99 + 0i, but it doesn't need to be represented that way.

[thorny moth]

algebraic numbers adds the case that it is only imaginary?

[hidden birch]

SAVE IT FOR LATER!
-# see lower right corner
✅ I have successfully obeyed the command.

[ionic forge]

explain this to me like i’m a 3 year old autistic toddler

[jagged compass]

We have a squiggly flower picture made with math. The flower is drawn by the rule:
r = 3sin(2θ).

Think of θ like the "clock hand" spinning around the circle.
When θ changes, the flower grows out and goes back in.

The question is asking: on which piece of time (interval) does the flower’s growth “on average” stay the same?
That means: start and end values are the same. If start = end, the "average change" is zero.

So let’s test the answer choices:

• f(θ) = 3sin(2θ)

• At θ = π/4 → f(π/4) = 3sin(π/2) = 3(1) = 3

• At θ = 3π/4 → f(3π/4) = 3sin(3π/2) = 3(-1) = -3 (not the same)

• At θ = 3π/4 → f(3π/4) = -3

• At θ = 5π/4 → f(5π/4) = 3sin(5π/2) = 3(1) = 3 (not the same)

• At θ = 3π/4 → f(3π/4) = -3

• At θ = 7π/4 → f(7π/4) = 3sin(7π/2) = 3(-1) = -3 (aha! the same!)

That means average change = 0.

So the answer is (C) 3π/4 ≤ θ ≤ 7π/4.

Hope the explanation is good and hope it helps

[thorn cliff]

I dont understand the calculation, can you please explain how you got π/4?(Also the others stuff like sin

[fair yacht]

this is about unit circle right?

[jagged compass]

From the question

[idle meteor]

What happened chat

[jagged compass]

Chat died

Lol

[fluid sorrel]

_-..... ____-------........ ______------

___........ ________...... ----------

--_________............ ___----....

[drowsy vessel]

Hi please don't spam in here, go to #chill

[fluid sorrel]

Bro

😅

The chat was dead

That's why

[drowsy vessel]

its a topic channel, we don't usually expect them to. be alive at all hours of the day

[fluid sorrel]

Hm

[hushed sphinx]

And even though a channel is not constantly active, it's a much better experience if people can open it and see that the last thing that happened was actually relevant mathematical discussion.

[median spear]

True

[steady storm]

Ayyy its my math class

Currently we just started reviewing holes in rational functions

Limit statements </3

[robust stag]

Can someone help me get my 21 percent failing F up 😭

Got a ton of missing work

I get math easily

As long as its explained right 😭

[grizzled abyss]

is this right

[undone pumice]

lwk cant see the last one

also f is suppsoed to be increasing up to x<-2

so like

going up

rn its going down

[fierce stratus]

This channel is God sent

My school put me in pre calc after taking geometry last year, so I skipped algebra 2

And idk shit that’s going on in my pre calc class

Wondering if anyone could tutor me

[grizzled abyss]

oh mb the 4+ is greater than the f-

[grizzled abyss]

so my friend was wrong damn

[undone pumice]

oop gl

u could try online alg2 courses like khan academy or such

or yt videos

mayb

[grizzled abyss]

evelyn is everything right tho

besides that 2 thing

[fierce stratus]

For rn I’m tryna study based on the stuff we’re learning in class as of now cuz I have a test on Monday

My teacher is nice and all but he’s not the best at explaining

[undone pumice]

should be good i think

[fierce stratus]

this is an example

of work I do not understand

[undone pumice]

so basically

a functions inverse is like

if f(a)=1

then if g is the inverse

g(1)=a

like it'll give you the x value u need to get the y value for f which will be the input of g

[fierce stratus]

It’s really hard for me to understand through text. People in general chat told me I need roles to unlock vc 🤦‍♂️

[undone pumice]

idk how to explain it lwk

maybe try yt?

https://youtu.be/TN4ybFiuV3k

https://youtu.be/2zeYEx4eTdc

[fierce stratus]

I’ll try the video thanks

[undone pumice]

ones more like what is an inverse function

watch the intro one first

then like

the next one is like

how to find the inverse function

[fierce stratus]

Alrighty 👍

[grizzled abyss]

@undone pumice is it like this

[undone pumice]

yup

[undone pumice]

looks right

[fierce stratus]

what grade are you guys in

[grizzled abyss]

11th this isnt hard im js reviewing for my ab unit tes

[fierce stratus]

oh

im 11th too

[undone pumice]

im 9th

class of '29 but i think most ppl in this channel r prolly '28 or '27

(usually i change my discord user to evelyn | hs class of '29 so its more clear but i can't change nick for this server so)

[fierce stratus]

wtf

smart asf and youre like 14

[undone pumice]

i mean

im not the smartest

[undone pumice]

yah im 14

i still procrasinate on assignments and stuff

....oops

(in math)

[fierce stratus]

I started locking in this year more

College seminar “F” doesn’t count because the assignment grade isn’t finalized

[undone pumice]

oh

nice

[fierce stratus]

Colleges come to my school and I have to go to 3 college visits by the end of the semester, and I’ve only been to 1 so far. So I have a 1/3 in the grade book rn

[undone pumice]

heres my grades (in order its ap csp, ap precalc, pe, ela hnrs, heritage chinese 1, bio hnrs

[undone pumice]

ahh

[fierce stratus]

You have have Chinese at your school 😭

We only have Spanish

[undone pumice]

oh

we have both

[fierce stratus]

But we only have to take Spanish freshman and sophomore

[undone pumice]

chinese and spanish

[fierce stratus]

Nice

We have college trips, that we have to go to

Divided into 5 seconds determined by gpa. Each group goes to 2 different colleges based on their gpa. My group is 2.75-3.2, and I have to be at school by 4:30 am

[undone pumice]

damn

good luck 🙏 i would probably drop if i had to get up that early

[fierce stratus]

I’ve got friends visiting brown university while I’m going to Clark university (never even heard of it before) 💔

[fierce stratus]

Onb

[undone pumice]

oop

splitting it up by gpa is kidna diabolocial lwk

ur grades seem good tho besides the f that like isn't ur fault lwk 🥀

[fierce stratus]

They don’t want to give false hopes to kids with a lower gpa that go to an Ivy League and fall in love with it, but they have no chance of getting in

[undone pumice]

😭 oh

um

wow

[fierce stratus]

I mean that’s just for this current semester. I wasn’t doing very well last year

[undone pumice]

oh

i see

[fierce stratus]

While some kids have to be at school at 4am and come home at 9pm because they’re going to far away schools (Massachusetts), the kids with really low gpa are going to nearby schools (30 minute bus rides)

[undone pumice]

oh

o-o

wow

[odd ocean]

ok

[fierce stratus]

just now finishing video 1

[undone pumice]

noice

do you think its helping?

i use the same channel for more advanced stuffies

[fierce stratus]

I understood the video tbh

[fierce stratus]

you learned geometry and alg 2 in middle school

[undone pumice]

well

my district operated uponi

a system

called

integrated math

aka

geo + alg + stats all tg

[fierce stratus]

wtf

[undone pumice]

um

its like

take all the high school math before precalc

mix it together

and separate it into three courses

[fierce stratus]

thats crazy

[undone pumice]

(its weird. i agree)

i...i guess integrated 3 was the equivalent of alg2? well, the alg part of int 3 anyway? maybe?

[fierce stratus]

creating intellectual superhumans

[undone pumice]

this is from ai overview but meh

[undone pumice]

idk

i mean im js me

i js skipped int 1 and did 2 and 3

[fierce stratus]

so whats your plan for hs. Ap calc soph, ab junor, bc senior?

[undone pumice]

ap calc...i mean, ab and bc are both just, ap calc?

ap calc is not a course by itself

it's ap calc ab and bc

soooo

js

ab soph

bc junior

stats senior

and dual enroll multivariable senior yr too

[fierce stratus]

my school is different

[undone pumice]

oh

weird

ap courses are standardized tupically

[fierce stratus]

theres pre, calc, ap calc, ap ab, ap bc, and stats

[undone pumice]

oh

weird

ap calc isn't a course made by collegeboard

hmm

well anyway for ap math we only have stats ab bc precalc

so, im taking js precalc ab bc stats

with multivar (calc3) in seinor too

[fierce stratus]

odd

[fierce stratus]

nice

if I understand pre calc this year, ill take ap calc. If not ill take calc next year

[undone pumice]

yeah idk

[fierce stratus]

is stats harder than bc

[undone pumice]

stats is known to be pretty easy

[undone pumice]

dw in my experience calc is not that bad

implicit is a lil tricky to understand

quotient and chain...not my strongest, but...alright

[fierce stratus]

shit myf youre right

i just verified

my school doesnt have just an ap

[undone pumice]

ah

[fierce stratus]

i guess my comprehension skill isnt up there

[undone pumice]

dw its not stuff u need to know

yet

its js

basic ab stuff

[fierce stratus]

ironic because I thought i had good comprehension when I was younger

but im dumb now

[fierce stratus]

alr

[undone pumice]

its okayy

[undone pumice]

i mean ur in precalc thats pretty good

in my school seniors take precalc on gen ed pathway so in 11th is still a year ahead of that

(there were so many stupid seniors in my old precalc class it was making me crash out)

[fierce stratus]

lol

my pre calc class is juniors and sophomores

[undone pumice]

yes mines too

im the only freshie in my period

[fierce stratus]

wow

alr ima watch the second video rq

[undone pumice]

mm nice

it should help u understand what u need to know, enough for ur class

[undone pumice]

well i know theres other freshies, my sister (twins) is the only one in her period, we have diff periods, i have 2nd and she has 3rd but same teacher

[fierce stratus]

AND you have a smart twin wtff

fraternal or identical

[undone pumice]

fraternal, same gender

[fierce stratus]

my grade has a set of fraternal same gender twins

boys

i dont know what math they take tho

[undone pumice]

oh

we're both girls

[undone pumice]

ah

[undone pumice]

theres a few other twins in my grade

[fierce stratus]

shi was light

[undone pumice]

ik it was meant to help set you up for precalc stuff

help u with the alg2 level ish

[fierce stratus]

oh what was supposed to be a breeze 😭

[undone pumice]

wait do u need help w/ this part

[fierce stratus]

Nah

I’m about to attempt the initial question I sent earlier

im already stuck

[real elm]

Why do you have the bible in bookmarks

[fierce stratus]

Idrk I don’t read it

[real elm]

Oh thank god

[real elm]

Do you only use "the organic chemistry teacher" to learn? I'm using khan academy to review the whole arithmetic

[fierce stratus]

But what’s wrong with the Bible tho 😭

[fierce stratus]

So far only toct. I’ve taken only one khan lesson

[real elm]

Yeah but you have school besides right?

[fierce stratus]

Yeah

[real elm]

yeah fuck

I'm trying to learn arithmetic to linear algebra

But by myself

[fierce stratus]

Good luck on that 💔

[undone pumice]

to linear algebra...wow

have fun i guess..um

[fierce stratus]

Onb

Well that’s enough math for today

I’ve gotta do my ap lit hw due tonight

[undone pumice]

oop

gl

i js have some more ap classroom stuff for math

[fierce stratus]

Oh yeah I do have an assignment on ap classroom for ap microeconomics

[undone pumice]

ah

igs u should do that depending when its due

[fierce stratus]

Monday so I’ll do it after

[undone pumice]

ah

[round vine]

i got 0.910^2x-6.217x+15.2

f(2.5)= 5.3473

can someone check my work

im new to using the stat thing

[orchid sigil]

hi guys i have to do some exercice and i have a question, i have to simplify this: 2*(4+6Un/2Un)
what is the result please

[brave lotus]

can u send the problem

[fluid sorrel]

What's Un

Share the actual question

[fallen prairie]

i think im too dumb for trig this is breaking me rn. i finally lloked it up and why does it = 1 😭

[hushed sphinx]

Write everything in terms of sin(theta) and cos(theta) -- that is, cot(theta) = cos(theta)/sin(theta) -- then have at it with basic algebra and the magic rule sin²(theta) = cos²(theta) = 1.

[languid lichen]

imagin studying

[fierce stratus]

Keep imagining then 🤦‍♂️

[fluid sorrel]

Just write cot in terms of cos and sin then take LCM... Use the rule sin^2 + cos ^2 = 1

[median spear]

Write the denominator as cosec^2(x)

Which goes in the numerator as sin^2(x)

Now write cotx as cosx/sinx

Simplify, remains with sin^2(x) - cos^2(x) +2cos^2(x)

Which is sin^2(x) +cos^2(x)

i.e. 1

[fallow hemlock]

hi guys I'm relatively new and I'm studying precalc for Sing

I have this problem (I think is related to limits) that I'm struggling with, but the more I think the more stuck I am

[modest bolt]

Is this the original question?

[fallow hemlock]

yh

no context no info

the texts below is the next question

wait I think I got it (ish?)

because we can rewrite this as infinity^(1/infinity)

and as 1/infinity approaches to zero

we have infinity to the zero = 1?

and smbody check this?

I was lowk busy during the lecture solving on eproblem and overlooked this one

[modest bolt]

I don't think you proceed like this with limits. You have to do this properly.

[fallow hemlock]

how so?

[modest bolt]

L = lim x→∞ x^(1/x)

you know L-hopital?

[fallow hemlock]

I don't :((

But I think that it tends to 1 regardless right?

[modest bolt]

it says if lim x→c f(x)/g(x) are making form ∞/∞ then lim x→c f(x)/g(x) = lim x→c f'(x)/g'(x)

[modest bolt]

you can just google if you only care about the answer

[fallow hemlock]

idc abt the answer because I got it quite clearly but I'm more interested in the law

yh I'm js going to google the law

probably only takes a 20 min video at most

noted the link thx

[modest bolt]

youtube will be better for this

[fallow hemlock]

oh ok so basically it helps us evaluate limits when it is contradictory

[modest bolt]

yes when the limit takes form 0/0 or ∞/∞

[fallow hemlock]

yh true I searched up TOCT vid abt this rule

[modest bolt]

so continuing from here
currently it's of form ∞⁰, you want to make it of form ∞/∞ for that you can try taking log on both sides

what you get after taking log?

[fallow hemlock]

so

let y=x^(1/x)

taking ln from both sides

we have

ln(x)/x

OHH

[modest bolt]

yes as x→∞ ln(x)/x goes to what?

[fallow hemlock]

so it takes the form of infity/infinity already

ok

so

[modest bolt]

yes than you apply l hopital on ln(x)/x

[fallow hemlock]

yh but regardless it intuatively goes to zero because the denominator x tends to infinity

yh cool

[modest bolt]

the numerator aswell tends to infinity that's why intuition doesn't work in limits of indeterminate forms

you won't be able to guess answers to all limits of form ∞⁰ that's why knowing the process helps

[fallow hemlock]

ohh i understand now because it tends to infinity also it is hard to argue

thanks a lot btw because the other problems are also done informaly so I'll head back to fix them up rn

I'm logging off bye

[jaunty lake]

did anyone take ap precalc and ap stats in the same year?

i know that i have pre calc next year but i dont know if ap stats is an elective the same way like ap csp/a is cuz i want to drop ap csa for ap stats if possible

i do know the same teacher who teach ap csp teaches stats

[undone pumice]

Depends on the school like at my school it’s a math class so it’s offered as an alternative to math classes like precalc in senior year

[jaunty lake]

Oh k

[mighty wasp]

IB math analysis and approaches is frying me

Any resources you guys recommend

[fluid sorrel]

IB maths is the easiest bro

Which topic u need help with

[mighty wasp]

💀

It is not easy

You’re probably talking about IB math ai

[fluid sorrel]

Share the questions

N topics

[celest lantern]

can i ask how to do this ? i am unsure of how my teacher solved it

[modest bolt]

y = log_b (x-h)
(x,y)=(4,0)
0 = log_b (4-h)

[soft plover]

if x = 1,2,4,8 then h(x) = ²log(x)

notice that both sequence of x's have powers of 2 as their differences

but x = 4,5,7,11

which is 1,2,4,8 plus 3 to each term

if you subtract each term in the problem with 1,2,4,8 (powers of 2) you'll find that the resulting differences are constant which is 3

thus you need to subtract x by 3 to make it 1,2,4,8

[median spear]

Correct

[hushed sphinx]

The method in blue looks pretty iffy in general. The differences in the x row wouldn't be powers of the base except in the particular case where the base is 2 ...
Instead I would just say:

The form y=log_b(x-h) is given in the problem, so we just need to figure out the constants b and h.
No matter what the base is, the only way for log_b(4-h) to be 0 is if 4-h = 1, so h must be 3.
Next, we're also told that log_b(5-3) = 1, and the only number whose logarithm is 1 is the base of that logarithm, so b = 5-3 = 2.
I didn't use the points (7,2) and (11,3); they can then serve as a control.

(Also, it's unnecessarily confusing that the problem uses "h" both as the name of the function and the name of the constant you subtract from x, but that's not for you to fix).

[wintry lotus]

Does anybody have a pretty formal reason why the multiplicity of the zero of this function at x=-3 is higher than one?

[raw hill]

Let the given graph be of ( y = f(x) ). Then, since ( f(-3) = 0 ), we know that
[
f(x) = (x + 3)g(x)
]
for some polynomial ( g ). Differentiating yields
[
f'(x) = (x + 3)g'(x) + g(x).
]
Hence,
[
f'(-3) = g(-3).
]
But since ( f'(-3) = 0 ), we have ( g(-3) = 0 ), which implies that ( (x + 3) ) is a factor of ( g ).
Therefore, ( f ) has a factor of ( (x + 3)^2 ), meaning the multiplicity of the zero ( x = -3 ) is greater than one.

[obsidian monolith]

Civil Service Pigeon

[wintry lotus]

Wow that’s terrific thank you

[raw hill]

[dim peak]

does naybody know

[modest bolt]

multiply like you normally do

do you know how to multiply two complex numbers?

the a doesn't make it any different

[median spear]

Multiply normally, remember i x i = -1

[dim peak]

oh thx

[final bolt]

I’m so lost right now

Let me send it

I understand 10-12 but not 9/13-23 I’m stressing over this right now.

[rain pulsar]

Do you still need help?

[fluid sorrel]

What is that u don't understand??

Do u need answer to verify

Or explanation

[median spear]

Do you know about vertical line test?

[median spear]

Y intercept means the distance of pt where function intercepts / cuts y axis from origin

[undone pumice]

Almost distance is always positive so maybe not the right word

[obsidian quartz]

https://youtu.be/aDPEItdo9wQ
cool video i got from my youtube feed. i think it fits here, idk what channel can i repost it in

[viscid thistle]

okay

that might be the best video

on mathematics i have seen in a long

time

[median spear]

Mb

[fluid sorrel]

Use vertical line test for question 9

Then use basic function terminology for 13 and others

[unborn dune]

anyone know how i got this wrong

[raw hill]

https://www.wolframalpha.com/input?i=+(sec(5pi%2F4))cot(pi%2F3)-tan(5pi%2F6)csc(7pi%2F6)%3D(-sqrt(6)-2sqrt(3))%2F3

[unborn dune]

bro what

[unborn dune]

turns out i was right and my teacher misread my work lol

[fresh onyx]

Does anyone have tests or like good excersises for derivatives of trigonometric functions

[lapis merlin]

I could make one or get some from a book I have

[fresh onyx]

That would be nice can u check dms tho

[chrome rain]

pls extplain ts

[unborn dune]

explain what

[viscid thistle]

a + b = 10c
ab = -11d
c+d = 10a
cd = -11b

Integrate (a+b+c+d) dx when a,b,c,d ≠ 0 and are not equal also.

[No ai Allowed, just try]

[dry lantern]

The answer is ||(a+b+c+d)x+C||

[lapis merlin]

genius answer 🔥

[cedar tangle]

I’ve spent 30 min trying to solve this as an Alg student am I cooked

[dry lantern]

Granted you haven't learned calculus yet so don't worry about it

[cedar tangle]

How do you even solve this

[dry lantern]

Since you know a+b is constant and c and d are multiples or linear combinations of them you can say that a,b,c, and d are all constants and not functions of x which makes the integral trivial

Whether or not you want to solve for those constants depends on how willing you are to solve a system of 4 nonlinear equations

[cedar tangle]

Okay, thanks

[fluid sorrel]

(A+B+C+D) X + C........ as a, b, c, d are constants so this makes it easy

[viscid thistle]

There was mistake, a + b = 10c, also answer is in integer

+c form

[viscid thistle]

You have to find a,b,c,d

[fluid sorrel]

Question was incorrect??

[viscid thistle]

Yes, a little, make a+b= 10c

[fluid sorrel]

Edit the message n repost bcz others who might try will just waste their time

[viscid thistle]

Edited

[spare kelp]

Wait how

[winter comet]

||let L be a constant
the integral of L dx = Lx + C, where C is an arbitrary constant
if L = (a+b+c+d) (since they are all constants since they are not dependent on x),
then the integral of (a+b+c+d) dx = (a+b+c+d)x + C||

everything besides that is not relevant in order to solve the question so the question doesn't make too much sense

it was also explained above but 💀

[spare kelp]

Yeah but I don't see any x in the equations...

Omg I'm so dumb

It's a function

[winter comet]

it says to integrate (a+b+c+d) dx, which means you integrate it with respect to the variable x

[spare kelp]

I see

Thanks

[winter comet]

although this is the precalc channel so idk why he's doin integration 💀

or what even was the point of the problem at all

[echo cobalt]

Can someone integrate √e^x - 1 for me

[viscid thistle]

bruh

you are in a pre calculus channel

[echo cobalt]

😔

[viscid thistle]

#calculus

is the way

[viscid thistle]

but im pretty sure this can be done using rationalizing the sqrt

then e^x - 1 / sqrt(e^x - 1)

[echo cobalt]

Then?

[viscid thistle]

well you see u can seperate the

rationals

e^x/sqrt(e^x - 1) - 1/sqrt(e^x - 1)

[echo cobalt]

Ya , then? How do I solve the second part

[viscid thistle]

e^x - 1 = u
du = e^x
e^x = u +1<

[echo cobalt]

You solved the first half

[viscid thistle]

first part is easy

well technically this is bad tbh just do

so for 1/sqrt(e^x - 1)

take u^2 = e^x - 1

and now integrate

[echo cobalt]

Okay

[viscid thistle]

2u du = e^x dx => dx = 2u/e^x du

put e^x = u^2 + 1

[echo cobalt]

Yes

[viscid thistle]

1/sqrt(e^x - 1) dx becomes 2u/(u^2 + 1)(u) which is 2/(u^2 + 1)

that form is of arctan differentiation

[echo cobalt]

So yeah tan-¹

[viscid thistle]

yeah

[echo cobalt]

Got it thanks

[viscid thistle]

🙏🏻

[viscid thistle]

i think main thing was, being able to do sub smartly

sometimes its not just e^x - 1 = u

[echo cobalt]

Exactly

[viscid thistle]

but u^2!

to remove the sqrt

this works in so many

situations

[viscid thistle]

,rotate

[viscid thistle]

well i think you forgot the

nvm

lmao

so u went with sub directly

[echo cobalt]

I multiplied 2 at the end

[viscid thistle]

okay yeah this is good

[echo cobalt]

Yes

[viscid thistle]

first one would be sqrt(e^x - 1)

yeah good

[echo cobalt]

Doing math feels great

[viscid thistle]

ikr

[echo cobalt]

I have one more doubt , wait

[viscid thistle]

alrigh

t

[viscid thistle]

yeah you see

y^2 is in the power thats cooked

so to get rid of that take ln on both sides

[echo cobalt]

I did

And got cooked

[viscid thistle]

oh

whats the progress

[echo cobalt]

🤡💔

[viscid thistle]

wait y^x is in the power of ln

or to the x^smth

[echo cobalt]

Yeah x

[echo cobalt]

To the x

Got ot

Got it

I did that wrong

[viscid thistle]

yeah so lmao, well take the e^x a^y y^x all the side, so thats e^x a^y y^x * ln x

so thats multiplication rule

[viscid thistle]

lmao

[echo cobalt]

Ik chain rule dude

[viscid thistle]

xd

well yeah do all that then take dy/dx on the side

[echo cobalt]

You from where tho?

[viscid thistle]

Canada

[echo cobalt]

Can you send me the photo of the soln

😔🥀

Implicit functions are hard to differentiate

[viscid thistle]

i am writing it lmao

just wait

[echo cobalt]

Aight

[viscid thistle]

y = e^x a^y y^x * ln x
dy/dx = e^x a^y y^x * ln x + e^x

to differentiatve a^y:
z = a^y
ln z = y ln a
dz/dx = a^y y' lna

dy/dx = e^x a^y y^x * ln x + e^x a^y dydx lna y^x * ln x +

to differentiate y^x:
z = y^x
ln z = xlny
1/z dz/dx = (lny + x/y dy/dx)
dz/dx = y^x ln(y) + y^(x-1) x dy/dx

dy/dx = e^x a^y y^x * ln x + e^x a^y dydx lna y^x * ln x + e^x a^y y^x ln(y) + y^(x-1) x dy/dx ln x + e^x a^y y^x * (1/x)

@echo cobalt

it went kinda insane

but yeah thats that

now you take every term with dy/dx to the left

[echo cobalt]

🗿

[viscid thistle]

i also included how the y^x and a^y was differentiated lmao

might help

[echo cobalt]

Yeah thanks

😔✌🏾💔

[viscid thistle]

🥀 🙏🏻

[echo cobalt]

You're preparing for any exam?

[viscid thistle]

no im in uni

now

i self study mathematics for fun

[echo cobalt]

Aight

Gtk

[viscid thistle]

which one

1?

[echo cobalt]

I solved it but want a diff approach

[viscid thistle]

what did do to

solve it

find limit on both sides of 1 ?

[echo cobalt]

Obv

[viscid thistle]

i mean thats the only way

xd

i would do it with same approach

[viscid thistle]

from what i see from the 1+ side its equal 1

but other side its not

[echo cobalt]

Yeah it's discontinuous

[summer violet]

Hi just a question

What year should I be attending open evenings for universities as a student in the Uk? Yr 12 or 13?

[shrewd sleet]

Does anyone know like a good source for practice problems like on websites or even good books that might help with precalc??? I have only 3 weeks to fix my grades

[astral apex]

khanacademy.org

[wary moss]

Ask ai to make you practice problems like paste your homework into and tell it to make problems similar to your homework

[viscid thistle]

pw✋

oh not an Indian kid I see

it’s fine

[regal tree]

pw really is a blessing

[undone pumice]

What’s that

[willow bear]

!noai

[tender quest]

Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).

[willow bear]

AI can and will, very easily, make up problems that don't make sense or which are excessively difficult

[fluid sorrel]

I could have believed this in 2024 but i disagree this considering the outputs of ai models n the pace with which they r getting updated and trained on weekly basis.

[willow bear]

you're welcome to disagree w me, im not really in the mood to argue this at all

[viscid thistle]

IKRRRRR

boy you in class 11 or 12?

[spiral elk]

@willow bear hello!

I wish for you to help me judge some problems, if they are fit for practice

Can I send the pdf over to you through private discord inbox?

Please reply back

I've got a, what I think, great problem set!

[willow bear]

uhhhh

[spiral elk]

May I have you look at them?

[willow bear]

i can take a look but no guarantees

[spiral elk]

Just some simple differentiation problems

I will have them sent asap

[spiral elk]

I'm sorry for the delay, @willow bear

[regal tree]

a mostly online teaching platform for mainly college entrance exams

they cover other stuff too but thats their main focus(exams like jee and neet)

[undone pumice]

ahh i see

[viscid thistle]

lowk

[willow skiff]

@compact aurora where a, b are of opposite signs is the messiest case
so you really need to be on point with your function properties
arctan is increasing and 1/x is decreasing
their composition is decreasing

so then -arctan(1/x) is increasing, and the sum of two increasing functions arctan(x) - arctan(1/x) is also increasing

but there's obviously a break at x = 0
so take the left and right limits at x = 0: the max is y = pi/2 and the min is -pi/2, so that's our range

and then arctan(0.9x) - arctan(1/x) for example has the same horizontal asymptote and left and right limits at x = 0, so thae range is unchanged

[compact aurora]

i ddint take arct(0.9/x) i took arct ( 1/2x) no worries right?

[willow skiff]

it doesn't matter, the point is that 1/2 * infinity = infinity

and 1/2 * -infinity = infinity

so the behaviour at x = +infinity, -infinity and x = 1/+infinity (0+), 1/-infinity (0-) is unchanged

[dire aspen]

south w the clutch

[willow skiff]

yeah helping with some ext 2 level stuff

[dire aspen]

💀

[compact aurora]

wait but since a=x and b=1/2x dont they have the same sign?

or am i stupid

[compact aurora]

what does ext2 stand sor

[willow skiff]

12th grade Australian maths

[willow skiff]

oh right, arctan(0.5x) + (-arctan(1/x)) = arctan(0.5x) + arctan(-1/x)

so they actually were of opposite signs

[compact aurora]

what...

[willow skiff]

0.5x and -1/x are of opposite signs

[willow skiff]

odd property of arctan

[compact aurora]

no "arctan(0.5x) + (-arctan(1/x)) "this

[willow skiff]

$\arctan(0.5x) - \arctan(1/x) = \arctan(0.5x) + (-\arctan(1/x))$

[obsidian monolith]

south

[compact aurora]

but where did it come from?

didnt we take a=x and b=1/2x?

[hollow rune]

Can someone please help with the 29th question

[west ice]

,rccw

[west ice]

this's calculus obviously lol

[west ice]

I did the most unethical way that is derivative the answer choices and non show the same as one in the problem

[hollow rune]

Apparently Answer is option A

I'll start crying now

There are literally 195 questions and level increases with each one

I have a due tomorrow

[west ice]

,w derivative 2ln(2/(-sqrt(x^3)+sqrt(x^3+4)))/3

[obsidian monolith]

Results provided by WolframAlpha

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

Requested by fionna_fx

[compact aurora]

lock in

[west ice]

oh yeah i forgot haha

I forgot x^2/sqrt(x^3) the same as sqrt(x)

[hollow rune]

Sorry I don't quite well understood this ( english is my third language)

[west ice]

he meant you have to focus

[compact aurora]

flow state+ balkan stare

[hollow rune]

I am so dumb but what's that

[undone pumice]

it means like "go work hard"

[hollow rune]

Actually I have do all questions in a process , this could've worked if I had to only circle options

[hollow rune]

Thankyou 😭

Well if anyone finds a good method to do it please do help me , I am trying to work with the rest 😔

[carmine orbit]

nah

[carmine orbit]

yo did you get it?

[dense zealot]

no

[carmine orbit]

yeah cause the options are wrong

[fluid sorrel]

Bro

Just substitute

Take t= x^3/2

Why bcz its derivative is 3/2√x dx= dt

N also t^2 = x^3

I got the hint thinking abt dt and basically the denominator was x^3/2 kind of

Then i guess u can apply 1/√x^2+a^2

Integration

[median spear]

Try substituting t = x^ (3/2)

[fluid sorrel]

I said the same 😂

[median spear]

Fine

Didn't read

[hollow rune]

Options ain't matching

[fluid sorrel]

Show me ur work

[median spear]

Dude try solving the actual question

Don't rely on the option

[hollow rune]

Bro I solved it

Completely

But my answer isn't in the options

[fluid sorrel]

Show ur work

[hollow rune]

I've sent you

[fluid sorrel]

Done 👍

[ionic oracle]

help pls

[dry terrace]

Let's say you had x^2 = 0. how would you solve it?

[ionic oracle]

uh

x=sqrt1

so x=1

[dry terrace]

x^2 = 0

[ionic oracle]

oh wait

x=sqrt0

x=0

[dry terrace]

So you square root right?

[ionic oracle]

OH

so sin(cscx +1)=0

[dry terrace]

yeah

do you know how to solve for number of solutions from there?

[ionic oracle]

yea i think

[dry terrace]

Great!

[fluid sorrel]

Draw graph of sin^2x and cosx+1 using graph transformations

Check the intervals 0 to 2π

[willow bear]

no good

not from the starting eq you don't

[slim crown]

ive seen ann since 2021 how are you helping tons? with limited time?

[real snow]

your molecular name seems interesting

send its structure

[spice dragon]

Hey Ive been like seriously struggling in pre calc does anyone have any tips?

[wispy musk]

bro what does sin even mean

[fluid sorrel]

It's sine

[reef zinc]

study graphs more and more

it helps

i have already completed pre-calc and calculus

its easy if u have a good idea of graphs

[spice dragon]

I wish 😭

I suck at graphing I think that’s why I’m struggling I have a tutor and Ive been going to extra help but my mark is a 23

[reef zinc]

do one thing

buy a book named thomas calculus

it may help

[spice dragon]

Okay thank you gng

[reef zinc]

its a pretty good book to understand calc

it will teach from extreme basics

[spice dragon]

Okay awesome sauce

[wispy musk]

what is sine

[echo sinew]

The trig function sine

[fluid sorrel]

In math, sine (sin) is a trigonometric function that represents the ratio of a right-angled triangle's opposite side to its hypotenuse for a given angle. It is defined as: {sin theta=Opposite/{Hypotenuse} where 'θ' is the angle. Sine is a fundamental concept in trigonometry and is used to find unknown sides or angles in right triangles, and more broadly to describe periodic phenomena in physics and engineering.

[wintry pumice]

hello

[slender willow]

Ive been looking up equation for pi and saw many complex ones (mainly Ramanujan's), so i thought why isnt this one used most of the time? I am an eight grader so i may not understand much so please be understanding. (I made the equation by myself, not looked it up)

[viscid thistle]

I mean that will just equal pi

[slender willow]

I know but why dont i see it in this form often?

[viscid thistle]

pi ?

[slender willow]

yes

[viscid thistle]

I mean convince lmao

If u mean to just say pi I rather just write the

Symbol

[slender willow]

U know the ramanujans form? that also equals pi but used way more. is it because of fame, or the complexity?

[viscid thistle]

What is ramanujan form?

This?

Well the difference is that lmao, this is supposed to give the digits of pi and not just say smth is pi

[viscid thistle]

This can’t give the digits

[slender willow]

i see

[viscid thistle]

Yeah that’s supposed to calculate pi

To some digits

[slender willow]

Ohh i get

it

Thank you

[viscid thistle]

More times that sum is done

Better approximation of

1/pi

[slender willow]

I see. I guess i had problem with the usage of the equations

[viscid thistle]

Yeah lmao

[slender willow]

Thank you

[viscid thistle]

solution of a equation is pi

Won’t mean it will give the digits as well

[fluid sorrel]

Bro the definite integral u shared previously basically denotes the value of graph in a specific interval which comes out to be π... The equations given by ramanujan give the value of π and not the value of any function. Being an irrational number value of π is ambiguous so understand that function equal to π doesn't give us the numerical value of π

N Ramanujan didn't have fame in initial years until his works on prime series n other stuff

He was not a professional mathematician until he took degree under Henry's guidance

He was a god gifted person which he always accepted that his work comes from the goddess of knowledge Saraswati

[fair yacht]

i dont think that is precalculus

[fluid sorrel]

It's ramanujan equation for π

[timid widget]

guys

can someone help me

T^T

im crying cus i dont see any numebrs

[ivory fractal]

f(x)=g(x)?

[fluid sorrel]

√(1+tan^2C)

[heady bluff]

How do you find Real Zeros of polynomials?

[mellow arch]

i dont conceptually get why in combinations you divide by s! for repeated objects.

[undone pumice]

for permutations?

[mellow arch]

I guess it applies to both right

[undone pumice]

yeah basically if u want like unique ones then you'll have to account for the overcount

'

like for combinations, distinct is 6. because half the options are the same, so you divide by 2, whic his also 2!

[cloud pulsar]

x is equal to -4, and 2, but plugging in 2 would make it not a real number, plugging it in the left side, so log based 2 2 -3, but it works on the other side.

I'm a bit confused, if anyone can help, I will highly appreciate it.

[ionic apex]

Log base x of x is always equal to 1, therefore plugging in 2:

log_2 (2) - 3 = - log_2 (4)

1 - 3 = -2

-2=-2

Log base x of x is asking us x to the power of what is x

Or in terms of an equation, x^a = x and we want a, by inspection we can see a is 1

[cloud pulsar]

Sorry, I meant w = -4 and 2. I understand the log base of x of x, for example, log base 2 of 2 will be equal to 1 based on the log property. But log base 2 (2) -3 is log base 2 of -1, which log can't be negative, making it not a real number. I understand where you wrote and inputted the w values "log_2 (2) - 3 = - log_2 (4), " but 1 - 3 = -2 doesn't equate to that. 2- 3 = -1, and the other would be 4 from (2) + 2.

[hasty heron]

What angel does the tangent line (sin 2x=tan y )make with the positive direction of x axis on the point ( 3pi/4 , 3pi/4)

[cloud pulsar]

Thanks, I see what you mean. I didn't consider the parentheses.

[proud tangle]

I was just wondering - is log is the same for all equations (log 1 is the same in equation a and b), or does it differ one equation to another?

[willow skiff]

there's logarithms with different bases!

before uni, the convention is that log is log base 10

either way, you can convert freely between any two logarithms with the change of base formula

[proud tangle]

Interesting

[willow skiff]

e.g $\log_{10} x = \frac{\log_2 x}{\log_2 10}$

[obsidian monolith]

south

[proud tangle]

Is this learned in 7th grade?

[willow skiff]

logarithms aren't on the school curriculum for 7th grade of course

[proud tangle]

What grade are they then?

[willow skiff]

but the change of base formula is taught when you learn logarithms

[willow skiff]

why do you care?

[proud tangle]

I wanna know

[willow skiff]

I'd say 10th grade

but if you're learning this already, great!

[proud tangle]

Ah thanks then

[willow skiff]

no worries!

[winter comet]

😬

<@&268886789983436800> someone is tryna post something but it keeps getting auto-deleted, i'm not sure if pinging the mods is right here but just in case

[jaunty widget]

Do you know what they were trying to post, by any chance?

[winter comet]

idk it looked like a bunch of links or something and it was big, i saw it twice 💀

i just thought st in case it actually did get through and was like a scam or smthn

but it immediately would disappear so i assume it got auto-deleted

[jaunty widget]

Yea, I'm guessing the bot's taking care of them for us if one of the links does get through and doesn't get deleted though, do ping us again so we can deal with them ourselves

[winter comet]

alr

[timid grove]

Solve $i^612$

[obsidian monolith]

Average_X^2

[timid grove]

no not this

Solve $i^{612}$

[obsidian monolith]

Average_X^2

[queen elm]

i^612 = i^600 * i^12
i^612 = (i^2)^300 * (i^2)^6
i^612 = -1^300 * -1^6
i^612 = 1

[weak prawn]

is there tricks you would end up doing to simplifying sumation expressions? if so what do I search for that.
also it would be ingeneral nice to know everything about sumation operations, anyone know where I can find a overview of all the topics on summations

[fluid sorrel]

It is

i is iota

i= √-1

So whatever power of i is just divide it by 4

So whatever remainder is that will be power of i

Like

i^16= i^0=1

i^17=i

As 17÷4 remainder is 1

[fluid sorrel]

Same goes here @weak prawn

612 is completely divisible by 4

So remainder is 0

i^0 =1

[weak prawn]

i think you pinged and replied to wrong person lol

[fluid sorrel]

Dammm no way

But I hope u understand what I wanted to say

[weak prawn]

made sense to me :) , idk bout them tho lol

[unborn dune]

average google ai answer why is this the first search result

[fluid sorrel]

The solution is correct?

Whats the issue

[unborn dune]

"No, the expression...and...are not equal."
"The results are the same"

[fluid sorrel]

What's the question

Ohh i see

I think it gave the wrong answer

Then corrected it at end

[unborn dune]

yeah its funny dont use ai folks

[median spear]

Well the solution is Correct

It's proved to be using an indirect method

Where you contradict the given statement at beginning and later on prove that assumptions made by us were incorrect, so given statement is true

[unborn dune]

what its saying is
no its not the same
wait actually its the same

i dont want an unreliable ai source

and its not a fucking proof

[loud wraith]

The only points I lost on a 99 point test 😭
(I know what I did wrong you don't have to explain)

[fervent elk]

[wary moss]

H

[shy lotus]

Is there a thread here that teaches precalc from noob to pro

[terse elbow]

can anybody help me with the question? i’ve made the chart for ln(y), but not sure how to write the exponential model

pls ping me if u can thanks!

we aren’t supposed to use a graphing calc

[raw hill]

Reposted ^ #811391406760919070 message

[green path]

Where is the calculus channel?

[hushed sphinx]

#calculus -- you may need to check the "show all channels" in the right-click menu of the server heading.

[gilded tide]

Y=3.5e0.052x

[fossil kindle]

step 2 to step 3 is acc genius

what the hell

[fluid sorrel]

See this

[fluid sorrel]

.

..

[median spear]

A simpler way would be 612 is divisible by 4 so answer would be 1

[fossil kindle]

this too

[fluid sorrel]

😅

[fossil kindle]

sadly i will probs forget cause ill end up not using it in class

is it
i^1=i
i^2=-1
i^3=-i
i^4=1

[fluid sorrel]

Yepp

Right.... i^1=i

[fossil kindle]

alr

[willow bear]

i^1 = i

[neat path]

i^1=1

[fossil kindle]

oh yeah meant to type i

[willow bear]

yeah ok, then that was a typo

[neat path]

Sheet

Sorry

I’m cooked

i^1= i

[median spear]

What

[neat path]

💀💀💀

[median spear]

[glass axle]

could i just go here for general precalc help

or do i need to take a help room

[west ice]

For a broad/open question like e.g: How can I prepare for calculus it is alright to use this channel

But if you want a math problem to be resolved, this channel is still okay but I would prefer open a help ticket

[random oyster]

What’s the chain rule

I forgot lol

isn’t it like d/dx [(f(x))^n] = n(f(x))^n-1 * f’(x)

Sorry I forgot

[river drift]

that's the chain rule specifically applied to the case where the outer function is x^n

[modest bolt]

d/dx f(g(x)) = f'(g(x)) * g'(x)

[random oyster]

Ok thank u so much

[prisma oriole]

Don't know where to post this but:
never took precalc, now is stuck with calc

What things I could look/read up on :/?

[willow skiff]

for books, either Stewart's Calculus or Thomas's Calculus: Early Transcendentals

org chem tutor on YouTube

Khan Academy has quizzes for AP Calc AB and Calc BC

[prisma oriole]

Been watching him
But I'll look to the other 👍

Thank you

[willow skiff]

no worries!

[neon dawn]

how do i use mathematical induction to prove this

[astral apex]

first, check the base case n = 2

once that’s done, suppose the inequality holds true for all natural numbers from 2 up to k, and then try to conclude it holds for k+1

lmk if you get stuck

[willow bear]

do you still need help w/ this

[arctic hull]

I just watched a video which involved showing that the sums of two squares are closed under multiplication using complex numbers, and that the sums of four squares are closed under multiplication using quaternions. Does this process generalize to higher numbers?

[timid grove]

$x!$ when x = 6.

[obsidian monolith]

Average_X^2

[wintry canopy]

hi, what is precalculus?

[willow skiff]

anything in the us precalc curriculum goes here, examples include: trigonometry, logarithmic and exponential functions, function sketching, etc.

in short, it's learning whatever maths you need to get ready for calculus

[wintry canopy]

oh ty Im from the uk and we dont really have something called pracalculus

[willow skiff]

ah I can explain, so it's basically algebra, trig, and functions at A levels

without going into actual calculus

[wintry canopy]

ah ok

[wintry canopy]

so in the us do you not go into calculus until university

[willow skiff]

correct, it's not compulsory to learn calculus at secondary

a lot of people do however

but unis have to assume that the person might not have taken calculus before uni

[wintry canopy]

I mean at GCSE some of it is under futher maths so I guess that's the equivalent

further*

[willow skiff]

yeah Add Maths is roundabouts the first half of A levels

[wintry canopy]

yeah im basically a gcse student rn and I probably wouldnt do ad maths just because thats too many exams imo

but I'm still interested in learning to that level

and I'll amost certainly do A level

is this server more for getting answers to questions

[willow skiff]

indeed

we don't really teach here, cause that's what private tutors do

we just suggest books and resources to people if they do ask that

[wintry canopy]

is there any kind of resources you'd recommend to learn calculus

like ik the basics

[willow skiff]

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

also there's the book Calculus by Stewart

[wintry canopy]

thank you I'll look now

[willow skiff]

no worries!

[viscid thistle]

guys the best way to learn calculus?

[uncut mulch]

first make sure you're good with algebra, functions, exponents, logs, geo, trig

then start with basic limits, limit definition of the derivative

[willow skiff]

https://www.youtube.com/watch?v=WUvTyaaNkzM&list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr&index=1

[viscid thistle]

no way ahhahah

i opened this video

tysm

[willow skiff]

3Blue1Brown won't teach you the procedures for calculus, but it does help explain what calculus is and why you even do those things

[viscid thistle]

ok

[willow skiff]

de nada!

[viscid thistle]

wdym w procedures for calculos?

[willow skiff]

the actual algebraic manipulations you do for calculus

[viscid thistle]

like, for example, trigonometry, algebra and etc?

[willow skiff]

exactly

[viscid thistle]

i was reading and doing exercises from this one

[willow skiff]

that's a fairly basic review

some people really try to do calculus from this level and my heart breaks for them

you need to have a look at trig graphs, identities, and equations

function ranges and domains and asymptotes

https://tutorial.math.lamar.edu/Classes/Alg/Alg.aspx

this is more like it ^

if you're actually prepared, then calculus will still be new and confusing, but it shouldn't hurt

[sonic loom]

bruh i cant understand inverse trigonometry

trig identities is lowkey easy but when it comes to inverse im confused asl

[clear berry]

what part is confusing

[sonic loom]

Honestly, I’m confused about how to find the angle from a trig value

and understanding what the inverse actually means

[wintry canopy]

yeah that series definitely helped me understand calculus

[tidal marten]

the inverse doesn’t really mean anything beyond “find the angle when you know the ratio of the sides of the triangle”

idk if that’s exactly what you’re asking

[willow bear]

sin^-1 answers the question "sin of what angle gives this ratio"

ditto for cos^-1 and tan^-1

[modest bolt]

just know the trig identities and it's very ez to derive inverse identities

[frail lion]

Then why do we solve it in a specific domain

Like in sin^-1( ) values residing in( -1,1) can be plugged

Saying complexity increases doesn't work coz it can be tackled by using nπ±(-1)^n alpha type

[willow skiff]

think about the definition of sin(x) as being opposite/hypotenuse

clearly, the opposite side can never exceed the hypotenuse, except for when you have a degenerate triangle with adjacent side 0 and so opposite = hypotenuse = 1

hence the ratio will always be less or equal to 1 (in absolute value)

[reef storm]

i love watching ppl nerd out (no offense ts relaxing)

[frail lion]

Hmm yeah that is another way to look to it

Basically what my reasoning was that inverse trigo is just back tracking from the graphs

The graph of sin inverse has -1,1 as its maxima and minima

So the domain can be -1,1

[frail lion]

Yk how will you define domain of tan using this

[willow skiff]

tan(x) = opposite/adjacent, so that's just all angles such that adjacent = 0

using the unit circle definition, we want opposite^2 + adjacent^2 = hypotenuse^2 = 1, so opposite = 1 or -1

so that gives the angles x = 90, 270 respectively

and then that's 90 + 360k, 270 + 360k for any integer k by periodicity

[frail lion]

Adjacent tends to 0

Adjacent 0 is not correct to say

[frail lion]

Hm yeah ok

[frail lion]

What about this btw

[willow skiff]

no, we're looking for all values such that tan is undefined

so that is indeed a valid way of thinking about it

denominator = 0 is the only way for tan to be undefined

[willow skiff]

yes, if you know the graphs, that's another way

[frail lion]

The graph of tan never touches the line x=π/2

Or can say touches at infinite

[willow skiff]

you mean the graph of sin has -1, 1 as maxima and minima but yes

[frail lion]

You can not say adjacent zero

You san say tends to

[frail lion]

Yeas

[willow skiff]

I know, I know that the graph of tan(x) has vertical asymptotes tere

[frail lion]

So

What are you trying to imply then?

[willow skiff]

we can find the domain of tan(x) just by thinking about it this way

[frail lion]

Ok so you want to say in casual talk we can understand it using this

Ok

Bro

[keen smelt]

hi would someone pls be able to explain this to me

[frail lion]

some thing in complicated in this

Actually the original height of the center of swing is not given so I have to assume it

And it's complicating the equations further

This bombardilo crocodilo equation has formed

[clear berry]

i think thats intentional, the swing is only there to help you work out initial velocity. for the equations you have to use the fact that the object just passes over the pole

[frail lion]

That I have used in the second picture but you need initial velocity

And it will be found by work energy theorem

For that you need a height to equate potential to kinetic

Ok wait yeah I think I got what you're tryna say

Wait I'll try

[frail lion]

Nah mate 2 equations 3 variable

[clear berry]

Is initial velocity not just 2pi0.5/0.24

[clear berry]

Also can you really apply that theorem here,

[frail lion]

Oh wait yeah man angular velocity

[frail lion]

Linear velocity is r × this

Damn bro mb I had forgot it

[frail lion]

No need

Now

I guess

[clear berry]

I meant like

[frail lion]

Yeah no need

[clear berry]

I don’t think it’s even applicable in this case

[frail lion]

Why