In: Math
a- Give an example equation of each of the common surfaces in this course (plane, sphere, cylinder, cone, paraboloid) and describe feature(s) that distinguish its graph from the others.
b- If you want to determine an equation of a line that passes through the point (0,0,1) and that is parallel to the xy-plane, how many such lines are possible and what do they all have in common? Give equations of at least two DIFFERENT such lines are part of your response.
The common thing that such lines have is that the direction ratio in z direction is always zero.