   Chapter 7.2, Problem 5SWU ### 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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# In Exercises 5 and 6, write the equation of the sphere in standard form. 18 x 2 + 18 y 2 + 18 z 2 = 18

To determine

To calculate: The equation, 18x2+18y2+18z2=18 of sphere in the standard form of sphere.

Explanation

Given Information:

Equation of sphere is 18x2+18y2+18z2=18

Formula used:

The equation of sphere in the standard form

(xα)2+(yβ)2+(zγ)2=r2

Where, D(α,β,γ) are the coordinates of centre of sphere and r is its radius.

Calculation:

The provided equation of the sphere is,

18x2+18y2+18z2=18

Now, solve the above equation as,

18(x2+y2+z2)=18x2+y2+z2=1

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