Identify the type of quadric surface defined by the equation
9y2−16x2+z2=1,9y2−16x2+z2=1,
and find all x-, y-, and z-intercepts of the resulting graph. Sketch the graph of this quadric surface on paper.
The quadric surface is a / an Choose elliptic cylinder hyperbolic cylinder parabolic cylinder elliptic paraboloid hyperbolic paraboloid ellipsoid hyperboloid of one sheet hyperboloid of two sheets elliptic cone with
x-intercepts when x= ,
y-intercepts when y= , and
z-intercepts when z=