E1: Test the different surfaces without change of parameters. Rotate the frames and train your 3D perception of these functions.
E2: Study the formulas and develop a sense for the relation between formula and surface.
E3: Vary parameters and study the influence on the appearance of the surface.
E4: Change signs (+/-) in the formula and study the effect.
E5: Vary the grade of power functions in the formulas and study the resulting surfaces.
E6: Edit the formula arbitrarily and consider in advance how that should influence the surface.
E7: Animate different parameters, or two at the same time.
E8: Delete the animation term and use p as a free fourth parameter in your own formula.