Question

Determine $x,y\in\mathbb{R}$ such that $t^4-2xt^2+y^2=0$ has $4$ real solutions in an arithmetic progression

score 106 · Answer 1 · 2026-03-26 13:01:22

106

Views

Determine $x,y\in\mathbb{R}$ such that $t^4-2xt^2+y^2=0$ has $4$ real solutions in an arithmetic progression

Published on 26 Mar 2026 - 13:01

score 31 · Answer 2 · 2023-03-16 17:33:46

31

Views

Determine $m$ such that $f$ is derivable once but not twice, where $f(x) = x^m\sin(\frac{1}{x})$, for $x>0$, and $f(x)=0$, for $x\leq 0$

Published on 16 Mar 2023 - 17:33

score 48 · Answer 3 · 2026-03-30 02:11:25

48

Views

How do I define these two curves under a single parametric family of curves?

Published on 30 Mar 2026 - 2:11

score 60 · Answer 4 · 2023-03-22 09:54:57

60

Views

Finding parametric form of a circle that is in a plane $x-2y+z=0$ with radius 1 and center at origin

Published on 22 Mar 2023 - 9:54

score 60 · Answer 5 · 2023-04-05 17:31:32

60

Views

Finding Self-intersection of Trigonometric parametric curves

Published on 05 Apr 2023 - 17:31

score 87 · Answer 6 · 2023-04-06 16:09:08

87

Views

Why is $\frac{\vec{r}(t)}{ds}$ the unit velocity vector for a parametrized curve $\vec{r}(t)$ and arc-length function $s(t)$?

Published on 06 Apr 2023 - 16:09

score 84 · Answer 7 · 2023-04-10 10:01:20

84

Views

Number of solutions of a parametric equation

Published on 10 Apr 2023 - 10:01

score 71 · Answer 8 · 2023-04-12 19:17:17

71

Views

Formula for a parametric helical curve centered on the z axis that passes through 2 given points.

Published on 12 Apr 2023 - 19:17

score 107 · Answer 9 · 2023-04-16 14:20:25

107

Views

If $\sqrt{x-4\sqrt{x-4}}+\sqrt{x+5-6\sqrt{x-4}}=a$, find all $a$ such that the equation has two real, distinct solutions

Published on 16 Apr 2023 - 14:20

score 28 · Answer 10 · 2023-04-18 04:50:42

28

Views

Rewriting a polar equasion as parametric to a third variable.

Published on 18 Apr 2023 - 4:50

score 44 · Answer 11 · 2023-04-20 10:46:12

44

Views

Parametric Equations that don't follow the rule:

Published on 20 Apr 2023 - 10:46

score 29 · Answer 12 · 2026-03-26 14:19:28

29

Views

Inverse of a parametric equation with two inputs

Published on 26 Mar 2026 - 14:19

score 71 · Answer 13 · 2023-04-28 10:43:49

71

Views

Constructing n tangential arcs given a start point, end point and n radii

Published on 28 Apr 2023 - 10:43

score 96 · Answer 14 · 2026-03-26 14:25:11

96

Views

Acceleration of a particle on a logarithmic spiral in cartesian coordinates?

Published on 26 Mar 2026 - 14:25

score 23 · Answer 15 · 2023-05-02 11:20:47

23

Views

Question about the effect of a parameter of a function

Published on 02 May 2023 - 11:20

List Question

Determine $x,y\in\mathbb{R}$ such that $t^4-2xt^2+y^2=0$ has $4$ real solutions in an arithmetic progression

Determine $m$ such that $f$ is derivable once but not twice, where $f(x) = x^m\sin(\frac{1}{x})$, for $x>0$, and $f(x)=0$, for $x\leq 0$

How do I define these two curves under a single parametric family of curves?

Finding parametric form of a circle that is in a plane $x-2y+z=0$ with radius 1 and center at origin

Finding Self-intersection of Trigonometric parametric curves

Why is $\frac{\vec{r}(t)}{ds}$ the unit velocity vector for a parametrized curve $\vec{r}(t)$ and arc-length function $s(t)$?

Number of solutions of a parametric equation

Formula for a parametric helical curve centered on the z axis that passes through 2 given points.

If $\sqrt{x-4\sqrt{x-4}}+\sqrt{x+5-6\sqrt{x-4}}=a$, find all $a$ such that the equation has two real, distinct solutions

Rewriting a polar equasion as parametric to a third variable.

Parametric Equations that don't follow the rule:

Inverse of a parametric equation with two inputs

Constructing n tangential arcs given a start point, end point and n radii

Acceleration of a particle on a logarithmic spiral in cartesian coordinates?

Question about the effect of a parameter of a function

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