3.1.48 Curves of the 2 -nd Order

Condition: a) using polar coordinates, write down the equations of the following curves; Build graphs of these functions using a table in polar coordinates. Circumference with the center \ ((0.0) \) radius \ (a \); Circumference with the center \ ((a, 0) \) radius \ (a \); Circumference with the center \ ((0, a) \) radius \ (a \); Cardiac (depict 4 cases of location relative to the polar axis); Lemniscate Bernoulli. b) using the parametric task of the function, write down the equations and build graphs of the following functions (draw up a table, on the graph to sign for characteristic points the corresponding values ​​of the parameter \ (t \)): cycloid; Astroy.