Question

Is this proof of the arc length formula valid?

score 191 · Answer 1 · 2021-06-07 20:21:11

191

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Is this proof of the arc length formula valid?

Published on 07 Jun 2021 - 20:21

score 140 · Answer 2 · 2021-06-11 07:33:59

140

Views

Understanding why $|\beta'(s)|=|\alpha'(t)\cdot (dt/ds)| = 1$ in curve reparameterization by arc length

Published on 11 Jun 2021 - 7:33

score 78 · Answer 3 · 2021-06-12 20:22:06

78

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Definition of the length of a path $[0,1] \to (X, d)$ with $(X, d)$ a metric space

Published on 12 Jun 2021 - 20:22

score 184 · Answer 4 · 2021-06-13 16:15:18

184

Views

If $f_n$ uniformly converges to $f$, the arc length of graph of $f_n$ converges to the arc lenth of graph of $f$?

Published on 13 Jun 2021 - 16:15

score 308 · Answer 5 · 2021-06-18 08:00:40

308

Views

Find arc-length of particle moving on constantly changing radius circle

Published on 18 Jun 2021 - 8:00

score 1.8k · Answer 6 · 2021-06-25 20:40:54

1.8k

Views

Why is arc length independent of parametrization?

Published on 25 Jun 2021 - 20:40

score 455 · Answer 7 · 2021-06-26 01:32:09

455

Views

Function equal to its own arclength.

Published on 26 Jun 2021 - 1:32

score 167 · Answer 8 · 2021-06-30 17:59:46

167

Views

Arc length of $x^n$ found using Hypergeometric function and series. Alternate representations and solution verification needed.

Published on 30 Jun 2021 - 17:59

score 121 · Answer 9 · 2026-03-28 07:48:20

121

Views

Arc length of $\cos(\ln(x)$) and $\sin(\ln(x))$ in closed form.

Published on 28 Mar 2026 - 7:48

score 92 · Answer 10 · 2021-07-30 14:37:29

92

Views

Find the function $f(x)$ so that, for $x\ge 0$, its arc length in the interval $[0, x]$ is $2x+f(x)$.

Published on 30 Jul 2021 - 14:37

score 185 · Answer 11 · 2021-07-30 23:41:37

185

Views

Find the length of the curve $y=\sinh(x)$, $0\leq x\leq1$

Published on 30 Jul 2021 - 23:41

score 343 · Answer 12 · 2021-08-08 15:33:43

343

Views

Parametric equation of an elliptical arc

Published on 08 Aug 2021 - 15:33

score 228 · Answer 13 · 2021-08-21 05:11:01

228

Views

Curve with longest arclength between two points

Published on 21 Aug 2021 - 5:11

score 250 · Answer 14 · 2021-08-22 08:22:09

250

Views

Does there exist a rectifiable curve with infinite indefinite integral?

Published on 22 Aug 2021 - 8:22

score 651 · Answer 15 · 2021-08-29 00:41:14

651

Views

Arc Radius Calculation from 2 points

Published on 29 Aug 2021 - 0:41

List Question

Is this proof of the arc length formula valid?

Understanding why $|\beta'(s)|=|\alpha'(t)\cdot (dt/ds)| = 1$ in curve reparameterization by arc length

Definition of the length of a path $[0,1] \to (X, d)$ with $(X, d)$ a metric space

If $f_n$ uniformly converges to $f$, the arc length of graph of $f_n$ converges to the arc lenth of graph of $f$?

Find arc-length of particle moving on constantly changing radius circle

Why is arc length independent of parametrization?

Function equal to its own arclength.

Arc length of $x^n$ found using Hypergeometric function and series. Alternate representations and solution verification needed.

Arc length of $\cos(\ln(x)$) and $\sin(\ln(x))$ in closed form.

Find the function $f(x)$ so that, for $x\ge 0$, its arc length in the interval $[0, x]$ is $2x+f(x)$.

Find the length of the curve $y=\sinh(x)$, $0\leq x\leq1$

Parametric equation of an elliptical arc

Curve with longest arclength between two points

Does there exist a rectifiable curve with infinite indefinite integral?

Arc Radius Calculation from 2 points

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