
3.5․i Surfaces of the 2nd order
condition: Determine the type of surface \( x^{2}+z^{2}=y \). Draw it diagrammatically. Find and draw the lines of intersection of the surface with coordinate planes. Find and draw the line of intersection of the surface with the plane \( y=4 \)
Investigation of second-order surfaces and their characteristics. Ellipsoid, hyperboloid, paraboloid. Finding canonical equations and plotting.