dydx
Lv 6
dydx asked in Science & MathematicsMathematics · 1 month ago

Identify the quadric surface containing r(t) = <sin(t),cos(t),cos(2t)>. Prove your assertion.?

2 Answers

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  • Pope
    Lv 7
    1 month ago
    Best 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

  • David
    Lv 4
    1 month ago

    z = cos(2t) = cos²(t) - sin²(t) = y² - x²

    z = y² - x²

    So the surface is a hyperbolic paraboloid.

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