Let G be the solid in the first octant bounded by the sphere 2x? + 2y? + 2z? = 32 and the coordinate planes. Evaluate fSlc(x² + y² + z²)dV (a) using rectangular coordinates (b) using cylindrical coordinates (c) using spherical coordinates.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 24E
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(8) Let G be the solid in the first octant bounded by the sphere 2r² + 2y? + 2z?
and the coordinate planes. Evaluate fSSe(x² + y² + z²)dV
(a) using rectangular coordinates
(b) using cylindrical coordinates
(c) using spherical coordinates.
32
Transcribed Image Text:(8) Let G be the solid in the first octant bounded by the sphere 2r² + 2y? + 2z? and the coordinate planes. Evaluate fSSe(x² + y² + z²)dV (a) using rectangular coordinates (b) using cylindrical coordinates (c) using spherical coordinates. 32
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