CODE IN PYTHON, MUST BE DONE IN PYTHON!!!!

2. Given the equation y(y2-1) (y-2) 2(x-1)(x-2): a) Find V b) Find the points (x and y coordinates) where the graph of the equation has a horizontal tangent line. c) Find the equations of the tangent lines at the point (0, 1) and (0, 2) d) Plot the graph of the equation (using plot_ implicit) and both tangent lines from part c). Use the domain [-5,5