Parametrize a Curve with Respect to Arc Length

[@fluffymonsta3284]

Hey Patrick i just wanted to thank you, because of your videos i went through i was able to pass my maths exam, Your videos are really good and detailed, thanks again :)

[@TalooshDaBoss]

How to find 6:25

[@simsvmusic]

Thanks.. 2019 and your videos are still making a difference..!!

[@yoursocool1990]

So crazy that we literally just went over this in class, and I didn't understand it. Then this video was uploaded today, and it makes perfect sense, sound like fate to me.

[@Andrew22]

lol who marked this as spam?

[@kkkk8964]

9:40 that's the concept I was looking for, thanks

[@dianafregoso-sanchez9239]

I was tearing my brain trying to understand before this video. Thank you for your time!

[@lonosa89]

Thank you Patrick . You are amazing. I wish we could get teachers/professor like you in every schools/colleges. Math is fun when there are amazing explainer like you (y)

[@patrickjmt]

thanks :)))

[@miketheninja1]

Patrick your videos are great! Try to pump out more videos on Calc III before my exam in December. I used your videos to study for Calc I and II and they were awesome. Unfortunately my academic career has finally caught up to your videos :(

[@dylanburger217]

Still the best math tutor on youtube, probably one of the best in the world if i'd say. My teacher SUCKS.

[@IronMan-wz7ti]

7:57 You calculated ds/dt=sqrt(2) But then I don't understand Where |R'(u)|=sqrt(2) comes out? How do you know ds/dt= |R'(u)|? We do know that ds/dt=|R'(t)| so are you saying u and t are the same thing?

[@xrelia2640]

+Money Editor He plugged in t for u after taking the derivative

[@WithoutException]

PatrickJMT is hands down the best channel ever made if the criteria is learning math. Now if only there were a version of this channel for circuits...

[@kazachkov193]

+Sammy Eang Michel van Biezen. best academic channel on youtube in my opinion. plenty of circuit problems

[@WithoutException]

+kazachkov193 Thanks, you're a lifesaver!

[@naveennaidu9064]

Love u manhh.. Thank u so much... I've been tryna get it since morning, it's 9:51 pm, I've seen ur video n super satisfied!

[@snehbhandari8352]

At 11:03, you made the vectors starting from the initial point, shouldn't they be starting from the origin , both of 'em ?

[@noahjensen7788]

yeah, they should be starting from the origin instead of the point a

[@karenchan2676]

THANKYOU PATRICK! You're just amazing as usual!! Love the vids, life saver :')

[@tealcoconut]

thank you for this video; it really helped me out. i always do better these days understanding math conceptually (it especially helps me remember and truly understand the formulas). great job! i'm sure you've helped many more people than just me :D

[@gabrielsassozanette9617]

Very good man, thanks. I really liked the conceptual difference explanation at the end of the video!

[@kickingrusty9869]

Got your book a few weeks back, Patrick. Really enjoying it- well done. Thank you!

[@arpanbanerjee5659]

4:32 why does trace a circle in the xy-plane?

[@eswyatt]

@ 10:18 the position vector should start from the origin, not (1, 0, 0)

[@jandon603]

Thanks! Video helped tons!! Serious question...why are most math professors in the US foreign? I don't get it...

[@terryzhao4306]

Ikr, my multi variable teacher is Turkish

[@jacobkuca7711]

My calc BC teacher last year was swedish, accent and all.

[@spencerstrickland1948]

Asian calc 3 teacher, got a crush on her tho so its all good

[@Jamony1]

My MCC teacher is german, strong accent, explains everything from a pure perspective with like no examples.

[@johndemitrios6063]

because America is great and it is the land of opportunity, all the smart people come here from all over the world.

[@user-cr8bd9qk1r]

Hope you can explain why in the arc length parametrization formula there is an ‘u’

[@kornthoughtless6]

At the very end, does r(t) point from the origin to the curve or from (1,0,0) to the curve? It looks like only r(s(t)) should be from (1,0,0)?

[@Unidentifying]

really nice, i could even smell the sharpie

[@arashpix]

Very nice explanation of arc length and re-parametrization.

[@benjaminhermus8470]

I couldn't find an explanation for this anywhere, thanks so much! You saved me!

[@melanyanguilar5620]

Thank you so much!! My professor is not really good at explaining so I was having a hard time understanding this concept. I have a test tomorrow. Wish me luck!!

[@patrickjmt]

good luck!!

[@Serpenoid123]

thank you very much. this makes much more sense now. my professor didn't really do a good job of explaining this concept

[@TN-pj5lk]

Great video, helpful explanation! But what exactly is the "u" variable?

[@GrahamFox]

so if I'm given r(t(s)) = r(s) and two points, 1 and 2, on a 3d curve, the arc length between those points is the difference of r(2) and r(1)?

[@alphonsenizeyimana9941]

How can I ask a question? I have something I want to ask you if possible

[@borongan2544]

how do you mean by 1 unit length along the curve, can you explain a bit further plz?

[@alphonsenizeyimana9941]

How can I ask a question? I have something I to ask you if possible

[@eivindhagen3429]

Why did he switch from t to u in the formula?

[@李俊峣]

just for integration purpose

[@sharonsolana]

*_Now_* I get it! Thank you patricklifesaverJMT!

[@po09lil]

Please can you make a video about a problem on finding all roots of a polynomial equation that involves all complex zeroes. Preferably an equation that starts with X^4. I know it's been at least a few years because I've been watching the videos in the polynomial playlist but I can't find any video that has a complex solution. I need desperate help.

[@abdallahmahmoud8642]

Really thanks ! From all my ♡ I really appreciate ur great work Keep going And never stop helping people :)

[@cadehilger7533]

Thank you Patrick!!!

[@matron9936]

Is the formula same for any dimension?

[@guitarttimman]

I was recently asked the question of which is more difficult, Chemistry or Math? Well, sorry, but basically, all the chemist does is follow a cook book of what's already been done. However, the mathematician must learn logic to solve for the unknown. And a truly good one can re-derive what he/she forgets. Not knocking the Chemist, but I'd say higher math is more difficult to master!

[@MrWedras]

This video is a banger, ty bro!

[@sharonsolana]

Great video! Thank you!

[@lidaing.industrial]

thanks, I finally get it! :)

[@patrickjmt]

Glad I could help!

[@Ajani_the_Great]

Thanks a lot, you are a life saver !

[@zijingyang6414]

Thank you so much for your video. It is just save me in my exam. I lost all of my lecture notes in our school library. 4 big notes book. Someone just stole all my notes except my stationary bag and calculator 😭😭😭

[@JibzCastor]

Hi patrickJMT , I have a question... How can I find x w/ two given equation. Example: Solve for finding x from x - y = 3 & -y - x = -7

[@JibzCastor]

***** , (how can I times or) how will I show a 3x3 matrix after multiplying 3x1 and 1x3 matrics?

[@JibzCastor]

***** but htat's the problem I have in finding 3x1 * 1x3 cuz... 1. there no second row on 3x1 and 2. no second column on 1x3.

[@christophervillanueva9303]

Thanks ! a lot, in particular the concise, conceptual explanation at the end.

[@ratneshsoni4431]

Quick concept 😏really helpful

[@ishaaqahamed3888]

What does in the direction of increasing t means?? it wasnt addressed here was it?

[@rere-x6g]

If anyone reads this still t will tell you what x,y,z equals too at each point once you have parameterized them, if you built a table you could plug in various t values and this will give you an idea of how an arc moves, and also create intermediate variables (x y and z) with t and also s being used as variables in multivariable functions

[@ishaaqahamed3888]

@@rere-x6g Thanks man. I graduated tho 😂. Thanks for the reply, nevertheless

[@rere-x6g]

@@ishaaqahamed3888 And I failed 😭😭

[@MrInventer80]

Thank u so much, this helped me understand way better

[@PureWatr]

Thanks for putting me through Multivariable!

[@patrickjmt]

no problem, just send me a portion of your tuition! :)

[@AndreaLovelieee]

Thank you so much for this!!!!! I have an exam in 2 days 😭😭😭🤦🏻‍♀️

[@hueydo3522]

Thank you for this lesson.

[@canadianthroneholder]

please do a lot more videos on multivariable calculus topics

[@anujn1184]

7:25 is is always the z component for the lower limit please reply.. I have test …

[@dangkhanhlinh476]

@UCFe6jenM1Bc54qtBsIJGRZQ, what is parameter of curve at the point?

[@matthewsarsam8920]

Great vid!

[@xavierlarose5906]

Great video, thanks!

[@davidone8418]

Great job!

[@swizzbeats1212]

We learned about this today and this is perfect :)

[@TalooshDaBoss]

Why did he not put k in 6:25

[@swizzbeats1212]

+TALOOSH DA DERPSHARK The k there is just to imply unit vector if you note when you have a 3d axis, the unit vectors are i for x- axis, j for y - axis, and k for z - axis. So we have i,j, and k, Hope that helps!

[@TalooshDaBoss]

That definitely helped :) I am really new to vector calculus. I really want to go into the physics field when i go to college. What are you on this video for?

[@swizzbeats1212]

Ah, good luck, I was using it as a review at the time :), Pat's videos are great!

[@burakalpyasar8845]

are you gerizekali?

[@nachiket481]

Thank you!

[@alialhameedi990]

Thanks for your tutorial video

[@tre-moon-dous6122]

i have been learning and improving my math from patrick by just watching his videos on youtube.. and sometimes i wonder how old is patrick now?

[@patrickjmt]

36 currently...

[@tre-moon-dous6122]

wow, i really thought u were in your mid 20 =)

[@patrickjmt]

that is what people typically guess when i meet people in person... mid to late 20's. also, for you internet people, the picture is quite old now.

[@tre-moon-dous6122]

this calls for a new picture!

[@oscarlazarocosta]

dope my man thx a lot

[@pedrazzinig]

Very good, thanks

[@ryanlucht6625]

9:31 ?

[@incwithaperiod]

Great video

[@eliontheinternet3298]

thanks!

[@Jose-pv3bi]

maximum likelihood estimation video?

[@Lusana32]

thanks bro

[@matthewalbert9643]

I HAD NO CLUE THAT YOU LOVE CHESS TOO!!!! NICE!!!!

[@eliastamraz5231]

thanks a lot !

[@9753Lukas]

Oh God I'm only in Calc (AB) that looks horrible.

[@guitarttimman]

hang in there! you can do it!

[@guitarttimman]

it's not really all that bad! i and j, and k are unit vectors and used for directional purposes!

[@9753Lukas]

Tim Rubin Halcomb Unit Vectors were hard when I had to do them in Pre Calc, I don't even want to imagine what they would be like in Calc with all that polar coordinates stuff.

[@elnekosauce]

Lukas Feuerstein Polar coordinates are actually not that hard, just exhausting to calculate.

[@9753Lukas]

Jaye サンダーの治世 Oh God. I remember having to do them in Precalc and I was scarred for life when I had to use them for complex numbers, conic rotation and parametric stuff. I don't think I've ever done worse on a test in my life.

[@tekkentype]

Dx/5+4cosx evaluate the integral

[@tekkentype]

yes and no its nothing like this as a solution, it says it will be changed into 2tan^2 x/2 /5+4(1+tan^2x/2

[@fatemaexo-l1256]

THANK YOUUUUUUU

[@ahmedyer3382]

I adore you

[@TalooshDaBoss]

He missed the k in 6:25

[@connorarmstrong9998]

There is no i,j,k in arc length formula because youre finding the magnitude not direction

[@TalooshDaBoss]

+Connor Armstrong Thanks. I am new to calculus 2 and 3.

[@NatanimK]

"oh man i hate that word"😂

[@TheTrumpBoy]

Why haven't you won a Fields Medal yet?

[@alemyatimothy3498]

❤

[@rodrigofdez.3740]

Videazo. Like

[@bhavna6565]

❤❤❤

[@meharsamba]

See thats the thing what if i alrrafy have a curve, like of an impeller and i want to find the radius of that arc...how do i do that ? I dont have a formulae which relates X axis to y axis ...how fo i find the radius of that ? This is why i dont like maths..i wanna use it in real life but how ?? Life doesnt come in the form of functions, this is why i hate mathematicians...and this is why engineers are better than mathematecians...

[@hubenbu]

Universities should be reparametrized for better, it's 2022.

[@bennyarcher4150]

If your a math genius... What's 9 + 10 XD

[@TalooshDaBoss]

21

[@eldnahruoytes]

Notation smh