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a) çalculate the integral S[ (x² + y²)dx dy dz, where W = {(x, y,z) e R³ / x² + y² + z² < a²,z > 0} w b) Determine the volume of the sphere .of radius r

a) çalculate the integral S[ (x² + y²)dx dy dz, where W = {(x, y,z) e R³ / x² + y² + z² < a²,z > 0} w b) Determine the volume of the sphere .of radius r

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

a) calculate the integral SSS (x? + y?)dx dy dz, where W = {(x, y, 2) E R° / x² + y²+ z? s a²,z 2 0} W b) Determine the volume of the sphere of radius r www ww w wwh www. wW w
Transcribed Image Text:a) calculate the integral SSS (x? + y?)dx dy dz, where W = {(x, y, 2) E R° / x² + y²+ z? s a²,z 2 0} W b) Determine the volume of the sphere of radius r www ww w wwh www. wW w
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