   Chapter 7.2, Problem 24E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### 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).] 15 x 2 − 4 y 2 + 15 z 2 = − 4

To determine

The quadratic surface represented by the equation 15x24y2+15z2=4 and its correct graph from the provided graph.

Explanation

Given Information:

The provided quadratic surface equation is 15x24y2+15z2=4 and the provided option for matching as follows:

Consider the provided equation 15x24y2+15z2=4

Rewrite the equation as in standard format,

15x24y2+15z2=415x244y24+15z24=4415x244y24+15z24=115x2415z24+y21=1

Now, further simplify,

x2(415)+z2(415)y21=1x

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