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Mathematik-Online problems:

Problem 429: Conic Sections

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
In $ P=(0,1,0)$ there is a rotating cone of light, defined by

$\displaystyle x^2 \cos t - (y-1)^2 \cos t + 2x(y-1) \sin t -z^2 \ge 0\; , \qquad t \in \mathbb{R}\; . $

Analyse the time dependence of the section of cone and the three coordinate planes. Sketch the section figures at the points of time $ t=0,\pi/2,\pi$.

(Authors: Höllig/Höfert)
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  automatisch erstellt am 12.  3. 2018