   Chapter 7.2, Problem 42E ### 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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# Classifying a Quadric Surface In Exercises 35-48, classify the quadric surface. See Example 3. 9 x 2 + 4 y 2 − 8 z 2 = 72

To determine

The quadratic surface represented by the equation 9x2+4y28z2=72.

Explanation

Given Information:

9x2+4y28z2=72.

Standard form of hyperboloid of one sheet

x2a2+y2b2z2c2=1

Consider the given equation

9x2+4y28z2=72

To convert above equation in standard form, divide above equation by 72

9x278+4y2728z272=1x28+y218z29=1

Above equation is similar to the standard form of hyperboloid of one sheet

Now, reduce in standard form

x2(8)2+y2(18)2z2(

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