By setting one variable constant, find a plane that intersects the graph of z = -100x^2 y^2 + 10 in each of the following:
a) Parabola opening upward: The intersecting plane is
The equation of the intersecting curve is
b) Parabola opening downward: The intersecting plane is
The equation of the intersecting curve is
c) Pair of intersecting straight lines: The intersecting plane is
Equations of intersecting lines y =