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Quadric surfaces Consider the following
Chapter 12, Problem 60E(choose chapter or problem)
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.
Hyperboloids of two sheets
\(-\frac{x^{2}}{6}-24 y^{2}+\frac{z^{2}}{24}-6=0\)
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.
Hyperboloids of two sheets
\(-\frac{x^{2}}{6}-24 y^{2}+\frac{z^{2}}{24}-6=0\)
ANSWER:Step 1 of 4
Standard form of hyperboloid of two sheets is ,
-= 1
Given surface is - 6 = 0…………(1)
Reduce to standard form
= 6