   Chapter 11.6, Problem 6E

Chapter
Section
Textbook Problem

# Matching In Exercises 5-10, match the equation with its graph. [The graphs are labeled (a), (b), (c), (d), (e), and (F).]  4 x 2 − y 2 + 4 z = 0

To determine

To calculate: Match the correct option of the equation 4x2y2+4z=0.

Explanation

Given:

The provided equation is:

4x2y2+4z=0

The provided graph are:

Calculation:

Consider the table of the quadric surfaces with their standard equation is shown below,

The equation is,

4x2y2+4z=0

Simplify the above equation,

x21y24+z1=0

The xy- trace (z=1) is,

x21y24=1y24x21=1

Trace the above equation that represent a hyperbola

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