Question

How do we parametrize the curve determined by the intersection of $x^{2} + y^{2} + z^{2} = 1$ and $x + y + z = 1$ and find it arc length?

score 121 · Answer 1 · 2022-03-06 18:41:52

121

Views

How do we parametrize the curve determined by the intersection of $x^{2} + y^{2} + z^{2} = 1$ and $x + y + z = 1$ and find it arc length?

Published on 06 Mar 2022 - 18:41

score 67 · Answer 2 · 2026-04-02 14:13:57

67

Views

Show that the antiderivative $F$ satisfies $F(y)=F(z)$

Published on 02 Apr 2026 - 14:13

score 30 · Answer 3 · 2022-03-19 18:58:00

30

Views

Expressing parametric equations of a spiral in terms of X coordinate

Published on 19 Mar 2022 - 18:58

score 541 · Answer 4 · 2022-03-20 10:18:41

541

Views

$V(y^2-x^3)$ not isomorphic to $\mathbb A^1_K$

Published on 20 Mar 2022 - 10:18

score 203 · Answer 5 · 2022-03-24 11:21:43

203

Views

What are some nice continuous mapping from the closed ball $\overline{B}^n$ to the $n$-sphere $S^n$

Published on 24 Mar 2022 - 11:21

score 85 · Answer 6 · 2022-03-25 16:53:49

85

Views

Parametrized surface is vaguely tetrahedral?

Published on 25 Mar 2022 - 16:53

score 201 · Answer 7 · 2022-04-01 10:34:00

201

Views

How to parameterize intersection of surfaces

Published on 01 Apr 2022 - 10:34

score 285 · Answer 8 · 2022-04-05 12:56:56

285

Views

Angle between two curves on curved space

Published on 05 Apr 2022 - 12:56

score 64 · Answer 9 · 2022-04-08 01:31:33

64

Views

Polar coordinates for $x^n + y^n = 1$, $n \in \mathbb{R}_{>0}$

Published on 08 Apr 2022 - 1:31

score 36 · Answer 10 · 2022-04-09 20:09:46

36

Views

Show that $x(t)=2r\cos^2(t)$, $y(t)=2r\sin t\cos t$ is a regular parametrization of the real circle of radius $r$, centre $(r,0)$.

Published on 09 Apr 2022 - 20:09

score 689 · Answer 11 · 2022-04-11 15:40:30

689

Views

How do I find the parabola parameter equation?

Published on 11 Apr 2022 - 15:40

score 33 · Answer 12 · 2022-04-11 18:43:08

33

Views

How to calculate surface of area with given equations $x^2 + y^2 \leq a^2$ and $az = xy$

Published on 11 Apr 2022 - 18:43

score 96 · Answer 13 · 2022-04-25 17:07:55

96

Views

Find the surface area of cylinder between the intersection curves and cone, eliptic paraboloid.

Published on 25 Apr 2022 - 17:07

score 4.9k · Answer 14 · 2022-04-29 11:49:47

4.9k

Views

Parametrizing a circle in a counterclockwise direction

Published on 29 Apr 2022 - 11:49

score 29 · Answer 15 · 2022-05-03 23:11:15

29

Views

I am having trouble solving this problem. I don't know how to parametrize this curve and sketch the direction of the curve.

Published on 03 May 2022 - 23:11

List Question

How do we parametrize the curve determined by the intersection of $x^{2} + y^{2} + z^{2} = 1$ and $x + y + z = 1$ and find it arc length?

Show that the antiderivative $F$ satisfies $F(y)=F(z)$

Expressing parametric equations of a spiral in terms of X coordinate

$V(y^2-x^3)$ not isomorphic to $\mathbb A^1_K$

What are some nice continuous mapping from the closed ball $\overline{B}^n$ to the $n$-sphere $S^n$

Parametrized surface is vaguely tetrahedral?

How to parameterize intersection of surfaces

Angle between two curves on curved space

Polar coordinates for $x^n + y^n = 1$, $n \in \mathbb{R}_{>0}$

Show that $x(t)=2r\cos^2(t)$, $y(t)=2r\sin t\cos t$ is a regular parametrization of the real circle of radius $r$, centre $(r,0)$.

How do I find the parabola parameter equation?

How to calculate surface of area with given equations $x^2 + y^2 \leq a^2$ and $az = xy$

Find the surface area of cylinder between the intersection curves and cone, eliptic paraboloid.

Parametrizing a circle in a counterclockwise direction

I am having trouble solving this problem. I don't know how to parametrize this curve and sketch the direction of the curve.

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