Here is the sketch of the hyperbolic paraboloid represented by the equation \(4x^2 + 9z^2 = 9y^2\). The surface features a saddle shape, with parabolic cross-sections in the \(x\)-\(y\) plane and hyperbolic sections in the \(z\)-\(y\) plane.

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### Related questions:
1. How do we recognize different conic sections in three-variable equations?
2. What are the differences between parabolas, hyperbolas, and ellipses?
3. How do changes in coefficients affect the shape of a hyperbolic paraboloid?
4. Can hyperbolic paraboloids be found in real-life structures?
5. What is the significance of symmetry in 3D surfaces?

### Tip:
When analyzing 3D shapes from equations, cross-sections along planes can provide insights into the surface's geometry.

Explore how to sketch the 3D hyperbolic paraboloid represented by the equation 4x^2 + 9z^2 = 9y^2. Learn the mathematical concepts behind conic sections, cross-sections, and the geometry of surfaces. Suitable for Grades 11-12 students.

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