Quadric surfaces Consider the following

Chapter 12, Problem 60E

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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 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

   

 

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