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Problem. Evaluate + y°dV, where R is the region a? + y? <9, 0

Problem. Evaluate + y°dV, where R is the region a? + y? <9, 0

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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Problem. Evaluate / Va2 +y°dV , where R is the region a? + y? < 9, 0 < z< 5. Explanation. The region R is a solid cylinder, hence cylindrical coordinates. In this case, that means polar in (x, y) and z stays the same. Therefore, in cylindrical coordinates, the region can be described as ? The integrand v x2 + y2 in cylindrical coordinates is 2² + y? The integral therefore becomes /I| f(r(r, 0, 2))rdz dr de ? ? dz dr de ?
Transcribed Image Text:Problem. Evaluate / Va2 +y°dV , where R is the region a? + y? < 9, 0 < z< 5. Explanation. The region R is a solid cylinder, hence cylindrical coordinates. In this case, that means polar in (x, y) and z stays the same. Therefore, in cylindrical coordinates, the region can be described as ? The integrand v x2 + y2 in cylindrical coordinates is 2² + y? The integral therefore becomes /I| f(r(r, 0, 2))rdz dr de ? ? dz dr de ?
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