3.1.36 Curves of the 2nd order
condition: Find out which curve is determined by the following equation and diagram it. \[ 3 x^{2}+8 x y+9 y^{2}=22 \]
Study of curves of the second order and their characteristics. Ellipse, hyperbola, parabola. Finding eccentricities, foci, focal radii, major and minor axes, including imaginary, canonical equations and plotting.