Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 11 - Three-Dimensional Space; Vectors - 11.1 Rectangular Coordinates In 3-Space; Spheres; Cylindrical Surfaces - Exercises Set 11.1 - Page 771: 15

Answer

See explanation.

Work Step by Step

Using the equation for a sphere: $(a)$ $(-3)^{2}=(-(-3)+z)^{2}+(-(-1)+y)^{2}(-2+x)^{2}$ $9=(3+z)^{2}+(1+y)^{2}+(-2+x)^{2}$ $(b)$ $(-1)^{2}=(-(-3)+z)^{2}+(-(-1)+y)^{2}+(-2+x)^{2}$ $1=(3+z)^{2}+(1+y)^{2}+(-2+x)^{2}$ $(c)$ $(2)^{2}=(-(-3)+z)^{2}+(-(-1)+y)^{2}+(-2+x)^{2}$ $4=(3+z)^{2}+(1+y)^{2}+(-2+x)^{2}$
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