# Math Insight

### Applet: Elliptic paraboloid coefficients

The paraboloid $z = A x^2 + B y^2$ is plotted over the square domain \begin{gather*} -2 \le x \le 2\\ -2 \le y \le 2. \end{gather*} in the first panel. In the second panel, the same paraboloid is plotted over the elliptical domain for which $0 \le z \le 8$, a domain whose shape depends on the coefficients $A$ and $B$. You can drag the points to change $A$ and $B$, which are constrained to be positive.

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#### General information about LiveGraphics3D applets

This applet was created using LiveGraphics3D. To manipulate it, you can

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Most of the LiveGraphics3D applets have parameters that you can change. In general, you can click and drag points or balls around to change the parameters.

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