MathProblemsBank

3.5․6 Surfaces of the 2nd order

condition: Draw a body bounded by these surfaces. Specify the type of surfaces that bound the body. \[ z=-\sqrt{4-x^{2}-y^{2}}, \quad z=4-x^{2}-y^{2} \]

Investigation of second-order surfaces and their characteristics. Ellipsoid, hyperboloid, paraboloid. Finding canonical equations and plotting.

-> Surfaces of the 2nd order