Find the centroid of the region W lying above the sphere x² + y² + z² = 30 and below the paraboloid z = 18 - x² − y². Assume the density of 8(x, y, z) = 1. (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (*,*,*).)

Find the centroid of the region W lying above the sphere x² + y² + z² = 30 and below the paraboloid z = 18 - x² − y². Assume the density of 8(x, y, z) = 1. (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (,,*).)

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section9.1: The Graphing Method

Problem 24WE

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Find the centroid of the region W lying above the sphere x² + y² + z² = 30 and below the paraboloid z = 18 – x² - y².
Assume the density of 8(x, y, z) = 1.
(Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (*,*,*).)
(x, y, z) =

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