Some good curves to sketch in your spare time. (1 Viewer)

[Uncle]

Sketch #1:
Sketch y with respect to x.
No parameterisation.

Curve 1: (x - 3)² + (y - 2)² = 6

Curve 2: (x - 14)² + (y - 2)² = 6

Curve 3: y = - (x - 5)(x - 12)


Sketch #2:
This requires parameterisation and t must lie between -1 and 1.

x = sin (t) cos (t) ln |t|
y = √(|t|) cos (t)

 

[lychnobity]

Better, a transcendental, parameterisation-requiring curve:

x = sin (t)(e^cos(t) - 2cos4t - sin⁵(t/12))

y = cos (t)(e^cos(t) - 2cos4t - sin⁵(t/12))

OR more simply: x⁶ + y⁶ = x²

 

[addikaye03]

x⁶ + y⁶ = x²

That's pretty cool. Heres one: (x^2)+(5y/4-sqrt|x|)^2=1
( or just graphamatica it)

 

[rohanpur]

Sketch #1:
Sketch y with respect to x.
No parameterisation.

Curve 1: (x - 3)² + (y - 2)² = 6

Curve 2: (x - 14)² + (y - 2)² = 6

Curve 3: y = - (x - 5)(x - 12)


Sketch #2:
This requires parameterisation and t must lie between -1 and 1.

x = sin (t) cos (t) ln |t|
y = √(|t|) cos (t)

Dirty Uncle, lol.