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Virtual Math Learning Center

Virtual Math Learning Center Texas A&M University Virtual Math Learning Center

Section 12.6 – Cylinders and Quadratic Surfaces


Exercises

Directions: You should try to solve each problem first, and then click "Reveal Answer" to check your answer. You can click "Watch Video" if you need help with a problem.

1. Describe and sketch \(-4x^2+y^2=4+2z^2.\)

Hyperboloid of 2 sheets that opens up along the \(y\)-axis (see video for sketch)

If you would like to see more videos on this topic, click the following link and check the related videos.

2. Describe and sketch \(16z^2-4y^2=9x^2.\)

Elliptic cone that opens up along \(z\)-axis (see video for sketch)

If you would like to see more videos on this topic, click the following link and check the related videos.