Identify the quadric surface containing r(t) = <sin(t),cos(t),cos(2t)>. Prove your assertion.?
- PopeLv 79 months agoFavorite Answer
I see at least two.
z = y² - x² ... hyperbolic paraboloid
x² + y² = 1 ... circular cylinder
Here are two parabolic cylinders, but I am not certain if they fit a strict definition of quadric surface:
z = 1 - 2x²
z = 2y² - 1
- DavidLv 49 months ago
z = cos(2t) = cos²(t) - sin²(t) = y² - x²
z = y² - x²
So the surface is a hyperbolic paraboloid.