Unit 8: Arc length and Curvature
MULTIVARIABLE CALCULUS MATH S-21A Unit 8: Arc length and Curvature Lecture De nition: If t2[a;b] 7!~r(t) is a parametrized curve with velocity ~r0(t) and speed j~r0(t)j, then the number L= R b a j~r0(t)jdtis called the arc length of the curve. We justify in class why this formula is reasonable if ~ris di erentiable. Written out, the formula is ... ................
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