Question

Show that a curve $r(t)$ is a straight line if $r'(t)$ and $r''(t)$ are linearly dependent for all $t$.

score 863 · Answer 1 · 2016-03-07 15:36:47

863

Views

Show that a curve $r(t)$ is a straight line if $r'(t)$ and $r''(t)$ are linearly dependent for all $t$.

Published on 07 Mar 2016 - 15:36

score 627 · Answer 2 · 2016-03-09 05:55:08

627

Views

Finding area inside one curve, outside the other, Why $2\pi$ and $\pi$ for the integral?

Published on 09 Mar 2016 - 5:55

score 87 · Answer 3 · 2016-03-09 10:48:16

87

Views

On arclength parametrization

Published on 09 Mar 2016 - 10:48

score 32 · Answer 4 · 2026-03-30 23:55:31

32

Views

If any function \kappa is given, is there always exist a function which its curvature function is \kappa?

Published on 30 Mar 2026 - 23:55

score 23.8k · Answer 5 · 2016-03-13 07:05:24

23.8k

Views

Create a formula that creates a curve between two points

Published on 13 Mar 2016 - 7:05

score 7.3k · Answer 6 · 2016-03-14 20:07:41

7.3k

Views

What is the difference between a function and a curve?

Published on 14 Mar 2016 - 20:07

score 159 · Answer 7 · 2026-03-27 05:39:05

159

Views

Is $x=0$ a local minimum of $f(x)=x^{2/3}(5-x)$?

Published on 27 Mar 2026 - 5:39

score 150 · Answer 8 · 2026-03-28 16:28:24

150

Views

Prove this : $\left(a\cos\alpha\right)^n + \left(b\sin\alpha\right)^n = p^n$

Published on 28 Mar 2026 - 16:28

score 2.2k · Answer 9 · 2016-03-20 02:57:04

2.2k

Views

Why does definite integral define an area?

Published on 20 Mar 2016 - 2:57

score 2k · Answer 10 · 2016-03-20 11:05:27

2k

Views

Difference between regular and smooth curve?

Published on 20 Mar 2016 - 11:05

score 288 · Answer 11 · 2016-03-22 16:22:52

288

Views

Show that curve has a constant torsion.

Published on 22 Mar 2016 - 16:22

score 65 · Answer 12 · 2026-03-29 11:06:57

65

Views

Find the area bounded curve $y = (x - 1)^3$, $x-$axis and the ordinates $x = -1$ and $x = 2$.

Published on 29 Mar 2026 - 11:06

score 765 · Answer 13 · 2026-03-26 12:53:53

765

Views

Is a projective curve minus finite number of points affine?

Published on 26 Mar 2026 - 12:53

score 125 · Answer 14 · 2026-03-28 16:19:37

125

Views

3D Denjoy–Riesz theorem

Published on 28 Mar 2026 - 16:19

score 370 · Answer 15 · 2016-03-25 19:31:55

370

Views

Why are there 44 sine curves on $\sin(n)$ with $0 < n < 10,000$ and $n$ integer (Gilbert Strang's "thousand points of light")

Published on 25 Mar 2016 - 19:31

List Question

Show that a curve $r(t)$ is a straight line if $r'(t)$ and $r''(t)$ are linearly dependent for all $t$.

Finding area inside one curve, outside the other, Why $2\pi$ and $\pi$ for the integral?

On arclength parametrization

If any function \kappa is given, is there always exist a function which its curvature function is \kappa?

Create a formula that creates a curve between two points

What is the difference between a function and a curve?

Is $x=0$ a local minimum of $f(x)=x^{2/3}(5-x)$?

Prove this : $\left(a\cos\alpha\right)^n + \left(b\sin\alpha\right)^n = p^n$

Why does definite integral define an area?

Difference between regular and smooth curve?

Show that curve has a constant torsion.

Find the area bounded curve $y = (x - 1)^3$, $x-$axis and the ordinates $x = -1$ and $x = 2$.

Is a projective curve minus finite number of points affine?

3D Denjoy–Riesz theorem

Why are there 44 sine curves on $\sin(n)$ with $0 < n < 10,000$ and $n$ integer (Gilbert Strang's "thousand points of light")

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