Quadric surfaces Consider the following

Chapter 12, Problem 48E

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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 one sheet

\(9 z^{2}+x^{2}-\frac{y^{2}}{3}-1=0\)

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 one sheet

\(9 z^{2}+x^{2}-\frac{y^{2}}{3}-1=0\)

ANSWER:

Solution 48E

Step 1:

Given that

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