MathProblemsBank

3.5․5 Surfaces of the 2nd order

condition: Draw a body bounded by these surfaces. Specify the type of surfaces that bound the body. \[ x^{2}+y^{2}=4, \quad z-y=4, \quad z=0 \text {. } \]

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

-> Surfaces of the 2nd order