Question

(Proof) Equality of the distances of any point $P(x, y)$ on the isosceles hyperbola to the foci and center of the hyperbola

score 169 · Answer 1 · 2026-05-04 19:03:05

169

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(Proof) Equality of the distances of any point $P(x, y)$ on the isosceles hyperbola to the foci and center of the hyperbola

Published on 04 May 2026 - 19:03

score 165 · Answer 2 · 2026-04-13 00:30:07

165

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is a semi-analytic curve piecewise analytic?

Published on 13 Apr 2026 - 0:30

score 481 · Answer 3 · 2026-04-16 15:16:12

481

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Conic equation: ${4x^{2}−4xy+7y^{2}+12x+6y−9=0}$ Converting this conic to "standard form"

Published on 16 Apr 2026 - 15:16

score 148 · Answer 4 · 2026-04-14 04:32:31

148

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The equation of the surface in cylindrical coordinates: ${r^{2}-2z^{2}=4r\cosθ-8r\sinθ-12z}$ . What is the equation in perpendicular coordinates?

Published on 14 Apr 2026 - 4:32

score 52 · Answer 5 · 2026-04-13 23:14:36

52

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There is a plane given the equation. If a sphere is tangent to this plane, what is the equation for the sphere?(Sphere Center: ${M(4,-2.3)}$)

Published on 13 Apr 2026 - 23:14

score 31 · Answer 6 · 2026-04-15 10:30:21

31

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Two hyperbolas $ y_1 = \dfrac{k_1}{x} $ and $ y_2 = \dfrac{ k_2}{x} $ $ (k_1, k_2> 0) $ intersets a circle which touch the X-axis

Published on 15 Apr 2026 - 10:30

score 51 · Answer 7 · 2026-05-04 20:02:50

51

Views

Determine whether you click on an ellipse

Published on 04 May 2026 - 20:02

score 92 · Answer 8 · 2026-05-04 20:04:06

92

Views

Proving that a parameterized curve in 3D is an ellipse and calculating its shape parameters

Published on 04 May 2026 - 20:04

score 29 · Answer 9 · 2026-04-15 18:25:46

29

Views

Scalar(dot product) of two vectors and some real number t.

Published on 15 Apr 2026 - 18:25

score 118 · Answer 10 · 2026-04-13 10:41:42

118

Views

Finding the coordinates of a point on a line closest to a given point

Published on 13 Apr 2026 - 10:41

score 190 · Answer 11 · 2026-04-16 10:50:54

Find the length of C which has parametric equations $ x=9 \cos (t)-2, \quad y=9 \sin (t)+1, \quad-\frac{\pi}{6} \leqslant t \leqslant \frac{\pi}{2} $

score 73 · Answer 12 · 2026-04-16 06:07:18

73

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The area between coordinate axes and tangent to $f(x)$ is $2x f(x)$. Is this correct?

Published on 16 Apr 2026 - 6:07

score 439 · Answer 13 · 2026-04-12 22:10:28

439

Views

A simple method to calculate minimal area enclosed between a tangent to $f(x)$ and coordinate axes

Published on 12 Apr 2026 - 22:10

score 72 · Answer 14 · 2026-04-15 05:44:00

72

Views

Line along shortest distance between two skew lines

Published on 15 Apr 2026 - 5:44

score 151 · Answer 15 · 2026-04-11 14:29:56

151

Views

Where is the mistake in a point closest to cross section of two planes and a line problem

Published on 11 Apr 2026 - 14:29

List Question

(Proof) Equality of the distances of any point $P(x, y)$ on the isosceles hyperbola to the foci and center of the hyperbola

is a semi-analytic curve piecewise analytic?

Conic equation: ${4x^{2}−4xy+7y^{2}+12x+6y−9=0}$ Converting this conic to "standard form"

The equation of the surface in cylindrical coordinates: ${r^{2}-2z^{2}=4r\cosθ-8r\sinθ-12z}$ . What is the equation in perpendicular coordinates?

There is a plane given the equation. If a sphere is tangent to this plane, what is the equation for the sphere?(Sphere Center: ${M(4,-2.3)}$)

Two hyperbolas $ y_1 = \dfrac{k_1}{x} $ and $ y_2 = \dfrac{ k_2}{x} $ $ (k_1, k_2> 0) $ intersets a circle which touch the X-axis

Determine whether you click on an ellipse

Proving that a parameterized curve in 3D is an ellipse and calculating its shape parameters

Scalar(dot product) of two vectors and some real number t.

Finding the coordinates of a point on a line closest to a given point

Find the length of C which has parametric equations $ x=9 \cos (t)-2, \quad y=9 \sin (t)+1, \quad-\frac{\pi}{6} \leqslant t \leqslant \frac{\pi}{2} $

The area between coordinate axes and tangent to $f(x)$ is $2x f(x)$. Is this correct?

A simple method to calculate minimal area enclosed between a tangent to $f(x)$ and coordinate axes

Line along shortest distance between two skew lines

Where is the mistake in a point closest to cross section of two planes and a line problem

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