Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 11 - Vectors and Vector-Valued Functions - 11.2 Vectors in Three Dimensions - 11.2 Exercises: 24

Answer

$(x-1)^2 + (y-2)^2 + z^2 = 33$

Work Step by Step

Equation for a sphere with $(a,b,c)$ as the center and has radius $r$ $(x-a)^2 + (y-b)^2 + (z-c)^2 = r^2$ Plugging in the center: $(x-1)^2 + (y-2)^2 + (z-0)^2 = r^2$ Plug in point ($3,4,5)$ $(3-1)^2 + (4-2)^2 + (5-0)^2 = 4 + 4 + 25 = 33$
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