3.1.35 Curves of the 2nd order
condition: Given the equation \( 9 x^{2}+9 y^{2}-9 x-6 y-\frac{23}{4}=0 \). a) determine the type of curve; b) lead to canonical form; c) construct a curve.
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.