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Quadric surfaces Consider the following
Chapter 12, Problem 49E(choose chapter or problem)
QUESTION:
Quadric surfaces Consider the following equations of quadric surfaces.
(a) Find the intercepts with the three coordinate axes, when they exist.
(b) Find the equations of the xy-, xz-, and yz-traces, when they exist.
(c) Sketch a graph of the surface.
Hyperbolic paraboloids
\(z=\frac{x^{2}}{9}-y^{2}\)
Questions & Answers
QUESTION:
Quadric surfaces Consider the following equations of quadric surfaces.
(a) Find the intercepts with the three coordinate axes, when they exist.
(b) Find the equations of the xy-, xz-, and yz-traces, when they exist.
(c) Sketch a graph of the surface.
Hyperbolic paraboloids
\(z=\frac{x^{2}}{9}-y^{2}\)
ANSWER:Solution 49E
Step 1:
Given that