3.1.48 Curves of the 2nd order

condition: a) Using polar coordinates, write down the equations of the following curves; construct graphs of these functions using a table in polar coordinates. Circle with center \( (0,0) \) radius \( a \); Circle with center \( (a, 0) \) radius \( a \); Circle with center \( (0, a) \) radius \( a \); Cardioid (depict 4 cases of location relative to the polar axis); Bernoulli's Lemniscate. b) Using the parametric specification of the function, write down the equations and construct graphs of the following functions (make a table, label the corresponding values ​​of the parameter \( t \) for the characteristic points on the graph): Cycloid; Astroid.