Calculus 3: how to find the curvature of a given vector function

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Learn how to find the curvature of a vector function r(t)=ti+t^2j+t^3k at t=1. This question is from the Calculus textbook by James Stewart.

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#calculus #bprpcalculus #apcalculus #tutorial #math
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3:14 is why you are here. You are welcome 🤗

bprpcalculusbasics
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He didn't switch to Chinese in this one so it must be correct

ThaFuzzwood
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Mind blown, not by the math but by the marker switching.

workhardbelazy
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I didn't even learn this but i still want to watch this

kingming
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Finally understand the cross product part. I thought it is the 3x3 times 3x2 matrix and was really confused. Turns out it is just a hack to calculate the cross product so it comes out more nicely.
Thank god I haven’t forgot _that_ much of my vector calc skills 😂

Leonlion
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Could you do a video on Quadric Surfaces please? The hardest stuff in Calc 3 so far for me has been the 3D geometry.

evefroggo
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Thank you for your effort and for benefits got from these videos and all maths subjects you give,
Can you explain the way we got the formula of curveture

najigharib
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I really need to look at vectors and matrices again. I swear I learn and relearn but they escape my head way too easily.

GoodOleDFT
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I'm not good at calculus but your explanation was really easy to follow along with :) I feel like I know calculus now

Mstrickster
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Aye this is super cool. Im a med student but just discover ur channel by accident and i could follow along! Prettt cool

mariojordan
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I understand. It's ugly. You expect the roots to cancel out, but it didn't and you get a monster instead.

vikramgogoi
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How is the curvature of an electromagnetic field computed in Riemannian geometry using the Kerr-Newman metric and Ricci tensor?

rykehuss
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Remember switch to your second marker is faster than reloading your markers

momonga.
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We know it’s accurate because he didn’t revert back to his default settings

teniluvsyousm
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I think it really should be written sqrt(266)/98

derekschinke