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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Matching In Exercises 23-28, match the equation with its graph. [The graphs are labeled (a)-(f).]

Chapter 7.2, Problem 27E, Matching In Exercises 23-28, match the equation with its graph. [The graphs are labeled (a)-(f).]

4 x 2 4 y 2 + z 2 = 0

To determine

The quadratic surface represented by the equation 4x24y2+z2=0 and its correct graph from the provided graph.

Explanation

Given Information:

The provided quadratic surface equation is 4x24y2+z2=0 and the provided option for matching as follows:

Consider the provided equation 4x24y2+z2=0

Rewrite the equation as in standard format,

4x29y+z2=04x2+z2=4y4x24+z24=4y4x21+z24=4y24

The above equation can be written as,

x2

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