Arc Length Parameterization

[@mw2121212121]

"ok you're probably thinking 'alright chuck, no shit.'" that moment made me laugh way too hard

[@saeedahmed7384]

At 4:19 it should be t=s/5 ?

[@kaseytarbet2987]

yes

[@jaroncarpenter8924]

Just wanted to say that your video is still helping people 12 years since posted! Thanks!

[@clashroyalecontent9645]

no one cares

[@gtavaifiatoa]

Well alright Chuck no sh*t! Never thought I'd laugh while learning math at 1 a.m.

[@HappyLaces]

I'm laughing at you too, You dumb fuck

[@isaact.477]

Gtfo

[@alainischileno]

"respect the math dudes" - chuck

[@anthemily07]

t=s/5 not 5/s

[@elijohnson7091]

"probably saying well Chuck no shit" had me dying. great vid

[@hunternelson7627]

Love everything about this lmao, I got the answer I was looking for quickly and without any extra bs, plus the humor is great.

[@clashroyalecontent9645]

really has me laughing on the floor

[@omartinez94]

"Well no shit chuck" 😂 I like this guy

[@joequint3564]

Very thorough explanation, although it’s s/5, not 5/s

[@dylangonzalez1688]

I thought I was crazy

[@aimanjamil5454]

noted

[@DrHofstadterFPS]

The velocity at 1:30 should be a vector (with commas instead of adds).

[@gowbie]

Instant math classic with the "...alright Chuck, no sh*t" !

[@chuckdowning5222]

Very helpful. Exactly what I was looking for, and concise. Thank you.

[@DxROC]

The best explanation about this that I've ever seen. "Well no shit Chuck" lmao

[@luminositymath570]

Wow! I have waited a long time for someone to make it this simple! Thanks!!

[@LBCGMC562]

Thanks for the video! Only the components of the velocity, when you take the derivative of r(t), shouldn't be added yet. The addition of the components derives from the dot product when taking the magnitude of your velocity vector.

[@Keinlicht]

thank you so much! my book had no such detailed explination, really helped me in my first vector calculus course. keep up the excellent tutorials.

[@aimanjamil5454]

so we need to rewrite the "r" in terms of "s" to make the arc length parameter equation or we just can say s= 5t ?\

[@Thegoshjosh95]

got a midterm tomorrow and my teacher can't teach, let alone enunciate his words properly. Thanks for this explanation!

[@RhettMashburn]

this is my favorite video on the internet

[@nugbert1]

I can see chuck doing this video with a rye and coke in the other hand. like a boss.

[@startoku8054]

Alright Chuck. No shit that the integral of 5 from 0 to 5 is 5t. jk, great vid.

[@HappyLaces]

If you're so smart why are you watching this video you worthless pile of human garbage

[@OriginalEch3Official]

chuck, you are my hero

[@yj09bsouth]

but doesn't t = s/5

[@kwanpakshing]

that's quite clear presentation and exampling except the mistake , haha

[@giuseppelastilla4]

Hi! I have two questions: 1. At 2:10 shouldn't it be sqrt(20)? 2. What if we can't simplify in the square root (if I have twice the cosine for example)?

[@mojiganga2]

how did you get 5 again? 2:06

[@ToZanarkandLover]

The inside of the square root simplifies to 16(sin squared + cos squared) + 9. Sin squared plus cos squared = 1, so the inside becomes 16+9=25. The square root of 25 is 5. Tada!

[@jordancochrane3895]

anyone able to clarify that the length L is not significant to this problem?

[@irvinrodriguez931]

I'm assuming its because you want to find the equation for the length of the equation rather than from a specified interval.

[@TheChuas]

woooow i am always intimidated with math! great work!

[@Keviamaya]

Thanks chuck, that was pretty well explained.

[@ilovechickens64]

Thanks for the knowledge and the humor!

[@3sanjeevbadwal]

Sir, i have question apart from this video, how to make wavy curve? how to assign positive and negative region on wavy number line ?

[@reyasatalam6379]

thanks man, great tutorial.. really helped with my homework.

[@6norcal9]

Why are the components being added in your velocity vector before finding the magnitude?

[@TheKarabomba]

Thanks man, It helped me a lot.

[@plet774]

LMAO "Alright Chuck...NO SHIT!!!"

[@Palex1990]

There is still a little mistake. When you substitute for t=s/5 and write r(s/5) = ... then this is still the same parametrization as before and nothing has changed. You just replace the symbol. You have to write r(s) = ... and then substitute all t on the right hand side.

[@joshuakarki5894]

It's in the description

[@zhengmao5554]

why do we need to find the length of the curve?

[@andrewlondon3461]

i feel you bro

[@nestorwalters8079]

Nice work. Super useful

[@nickvoulelis1707]

The part about L is not a parameterization its just finding arclength between 0 and 2pi

[@fizzo68]

when u say mkay it reminds me of south park :) thanks

[@bunkerbuster4758]

"Well aright no shit chuck".. LMFAO, first thing i did was exit full screen and subscribe

[@grimsrudjk]

I thought arclength L = int from a to b( sqrt(1 + (dy/dx)^2 ) dx). Why are you just plugging in the magnitude for v to find arclength?

[@fuzzballjunior2]

Thanks, will help on my test tomorrow

[@michaellin4230]

thank you so much this helped me

[@SumRandomRem]

Think you maybe meant to put commas in the velocity instead of +s?

[@TheCheech0203]

Thanks chuck!

[@3sanjeevbadwal]

Thank you so much! I You just made my day :) God bless you lots of! Amen.

[@danielmwanyangapo5485]

Why is t=5/s and s/5???????? You didnt explain sir............

[@domojim]

Daniel Mwanyangapo He made a mistake and wrote t=5/s but it should've really been s/5.

[@hasofdhi]

sqrt(16(sin^2t+cos^2t)+4) how is that equal to 5?

[@尻槍文]

I love this

[@3sanjeevbadwal]

Can you please provide me the link also to understand this topic --> Partial differentiation of implicit functions (videos explaining Implicit partial function and thier derivatives.) Thanks in advance.

[@3sanjeevbadwal]

can you please tell me the basic difference between S and L. ? I'm badly confused with this-please urgent-am lagging behind in my class !!! Plz plz plz

[@osogeo]

No shit, Chuck!

[@samschroeder2053]

thanks chuck

[@harryburiram]

Thank you very much!

[@CSasmor96]

Thank you! This is the exact example question in my textbook, but the explanation in the text isn't that helpful.

[@arcturussirius7139]

Thanks for the video! Very helpful! your 5 and S literally look the same lmao 😂

[@polemidis]

s/5 not 5/s. Good explanation though!

[@biyoukify]

Thank you so much!!!

[@nickvoulelis1707]

sin^2t+cos^2t=1 its a trig identity

[@marlypuckett2000]

Real men do math in Sharpie.

[@yj09bsouth]

thanks good explanation

[@jaker4236]

alright chuck, no shit

[@hudanaruto]

thank alot it helped alot

[@prof.irineujunior794]

thank you

[@hasofdhi]

im getting 2sqrt(5)

[@shivpalpatine]

fucking....thank you

[@Kevzavier1]

Lova ya man

[@vindroog]

Thank you!

[@rafiakhan7279]

There is a mistake when u reparametrize the curve 🤪

[@nityanandbiswas1422]

Big mistake hahahaaa 😂

[@gynaissilly1]

What you're too good to explain your integral. -_-