Arc Length Using Parametric Curves

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sir, i must say thank you for your excellent videos. as a sophomore in high school, you've made my entire BC class easier than it would have been had i not seen your videos. especially this specific topic. muchos gracias dude

nullllll
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Thank you for turning a two hour class into 8 minutes!

Jone
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thanks for the nice ratings everyone : )

patrickjmt
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hey man just wanted to say thanks a million!! ive been watching your videos for two semesters now and i could not survive without them! you're a life saver! i appreciate it much! thanks!!!!

frankotoole
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This chapter is so much easier than the one with series and sequences. Thanks again patrickJMT for clearing things up!

jarrinderricks
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I love you bro, I love you so much... "bro tears"

MrAmazingUsername
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Omg, it's 2am where I'm at right now, doing calc homework, didn't know how to solve it so I youtube'd it, came across your video, and turns out that the exact problem you are working on is the one I am working on too! THANKS SO MUCHHHH

daaiissyychapa
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Not only did it explain what I was wondering about, it was almost exactly the same problem that I was stuck on.

Really good video, and really good explaination. Really good.

RegiRanka
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hey, you are AWESOME i missed a few days of school which turned into like a week behind in calculus and these videos helped me catch up so much faster than it would of taken me without. you are fantastic at explaining all the topics i'm studying at school THANK YOUUU :)

kristis
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Great Video Patrick. You are truly gifted. I know brilliant men, who simply cannot teach. But you sir can translate mathematics into a form that anyone can comprehend.

Excellent Job Sir !!!

superflex
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just make sure you understand parametric curves (one way to describe curves that are not functions) and arc length! : )

patrickjmt
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Watching these videos really piss me off. I'm paying GOOD money to my university, only to be taught by professors who do a poor job of explaining the material. Then, I log on to YouTube, and watch patrick's videos. 1 hour spent watching his videos are worth months of my [wasted] classroom time. He makes everything so concise, organized, and easy to understand. I'm not a religious man at all, but you sir, are blessed by something. Thank you so much for your efforts.

opmike
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This is amazing. I understand it now. The world needs more English speaking math professors who know what they are doing. =/

voidsonvoid
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Hey dude. I'm a college student and your videos help me out a lot. I would like to say thanks for helping my grade stay up!

GuyasKnight
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I would not have passed calc 2 without your videos. Thank you!

gfytt
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2:41 *writes greater than or equal to sign, erases it, and writes it again* patrick the perfectionist! :)

WritenProppa
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I don't know what it is about these videos that makes calculus so much easier to understand than in a classroom. Probably having a foreign math teacher doesn't help

TyDye
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Thank you so much for making this concept easier and more learnable!

ahmedaj
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you're a genuinely good guy. been watching your videos for THREE years now. I've always told myself if i ever win the lotto i would donate nicely to your pay pal account :D

TheNumberPencil
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This is a great video! It helps me understand the process, now I just have to find a way to grasp the concept.

beastlt