Math Insight

Image: Triple integral ellipse shadow

The elliptical region $x^2+z^2/4 \le 1$ was computed as the shadow of the three-dimensional region bounded by $y=5-4 x^2-z^2$ and $y=x^2+z^2/4$ for the sun being at the positive $y$-axis.

Image file: triple_integral_ellipse_shadow.png

Source image file: triple_integral_ellipse_shadow.ggb
Source image type: Geogebra

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• The shadow method for determining triple integral bounds

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