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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Does the sphere x 2 + y 2 + z 2 = 100 have symmetry with respect to the

a) x -axis?

b) x y -plane?

To determine

(a)

Whether the sphere x2+y2+z2=100 have symmetry with respect to the x-axis.

Explanation

Given, the equation of sphere x2+y2+z2=100.

To check the symmetry with respect to the x-axis, relace y by -y.

x2+(-y)2+z2

To determine

(b)

Whether the sphere x2+y2+z2=100 have symmetry with respect to the xy-plane.

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