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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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Evaluate using cylindrical coordinates
(a)
(b)
(c)
[[[dxdydz, T = {(x, y, z)|0 ≤ x
= {(x,y,z)|0 ≤ x ≤ 1,0 ≤ y ≤ √₁-x²,0525√4-x² - y²)
T
T
1
√x² + y²
dvdydz, T = {(x, y, z)|0 ≤ x ≤ √9-y²,05 y≤ 3,0 ≤zs √9-1².
- x²-x²)
[[[sin(x² + y²) dxdydz, T = {{x,y,z)|0 ≤ x ≤ 1,0 ≤ y ≤ √1-x²,0 ≤ z ≤ 2}.
T
Transcribed Image Text:Evaluate using cylindrical coordinates (a) (b) (c) [[[dxdydz, T = {(x, y, z)|0 ≤ x = {(x,y,z)|0 ≤ x ≤ 1,0 ≤ y ≤ √₁-x²,0525√4-x² - y²) T T 1 √x² + y² dvdydz, T = {(x, y, z)|0 ≤ x ≤ √9-y²,05 y≤ 3,0 ≤zs √9-1². - x²-x²) [[[sin(x² + y²) dxdydz, T = {{x,y,z)|0 ≤ x ≤ 1,0 ≤ y ≤ √1-x²,0 ≤ z ≤ 2}. T
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