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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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