3.5.12 Surfaces of the 2nd order
condition: Find out which surface is determined by the following equation and diagram it. \[ 4 x^{2}+y^{2}-z^{2}-24 x-4 y+2 z+35=0 \]
Investigation of second-order surfaces and their characteristics. Ellipsoid, hyperboloid, paraboloid. Finding canonical equations and plotting.