Calculus 3: Arc Length and Curvature (Video #9) | Math with Professor V

Definition of arc length for curves in space, finding an arc length parameterization for a vector function; curvature and the multiple formulas to compute it; principal normal vector, binormal vector, and the TNB frame; osculating circle in terms of curvature. #curvature #calculus3 #mathtvwithprofessorv #youtubemath #mathprofessor #calculus #mathvideos #TNBframe #unitnormal #unittangent #binormal

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[mathwithprofessorv]

Note: at 53:04 forgot to write “prime” in the denominator, it should be |T’|.

[valeriereid]

I am a little lost at 18:18 how we got 5/2 sin^2. Can someone help with a little explanation? Thanks

[raulcervantesramirez]

hello, do you have any resources we can use to practice more? like on patreon ?