MathProblemsBank

3.5.13 Surfaces of the 2nd order

condition: Construct second-order surfaces: a) \( z^{2}=4-2 x \) b) \( x^{2}+z^{2}=4+2 y \) c) \( 9 x^{2}+y^{2}-z^{2}=0 \); d) \( x^{2}+y^{2}+6 y+z^{2}-2 z=0 \).

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

-> Surfaces of the 2nd order