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6/3 /108 - x2 144 – x² – y² + 12 Let J= z dz dy dx - 6/3 (i) Express the integral J in Cylindrical Coordinates (r,0,z). (ii) Express the integral J in Spherical Coordinates (p,p,0). (iii) Evaluate the integral J.

6/3 /108 - x2 144 – x² – y² + 12 Let J= z dz dy dx - 6/3 (i) Express the integral J in Cylindrical Coordinates (r,0,z). (ii) Express the integral J in Spherical Coordinates (p,p,0). (iii) Evaluate the integral J.

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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63 108 - x? J144 – x² - y? 108 – x² V144 - x2 - y? + 12 Let J= z dz dy dx - 6/3 /3(x?+y?) (i) Express the integral J in Cylindrical Coordinates (r,0,z). (ii) Express the integral J in Spherical Coordinates (p,q,0). (iii) Evaluate the integral J. b v q (i) If J= dz dr de , then 0 0 p p = q = V= b = β μω (ii) If 3 sin (o) cos (o) dp do do , then 0 0 0 B= (iii) J= T Use only integers or fully reduced fractions. II II II
Transcribed Image Text:63 108 - x? J144 – x² - y? 108 – x² V144 - x2 - y? + 12 Let J= z dz dy dx - 6/3 /3(x?+y?) (i) Express the integral J in Cylindrical Coordinates (r,0,z). (ii) Express the integral J in Spherical Coordinates (p,q,0). (iii) Evaluate the integral J. b v q (i) If J= dz dr de , then 0 0 p p = q = V= b = β μω (ii) If 3 sin (o) cos (o) dp do do , then 0 0 0 B= (iii) J= T Use only integers or fully reduced fractions. II II II
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