Let E be the solid bounded on top and bottom by the hemisphere x2 + y² + z² = a² and the plane z = 0. E is bounded on the sides by the cylinder x² + y² = ay. √asino √a²r² rdzard
Let E be the solid bounded on top and bottom by the hemisphere x2 + y² + z² = a² and the plane z = 0. E is bounded on the sides by the cylinder x² + y² = ay. √asino √a²r² rdzard
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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Question
Please ignore all pink writing and answer #6.
![5. Evaluate
1² 1² ²
sin(x²/2) dx dy. Change order and get 1-cos2
(6 Let E be the solid bounded on top and bottom by the hemisphere x² + y² + z² = a² and the plane z = 0. E is
bounded on the sides by the cylinder 2² + y² = ay. Sra
√asino Ta².² razardo
√a²r²
Write fff f(x, y, z) dV as a triple integral using cylindrical coordinates.
Let S be the part of the hemisphere ² +21² + 72 - 7² with > > 0 and bounded by r² + 21² = au](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5dc3ef7d-848e-4463-9030-e4a43ebc2b5f%2F1fb4fcff-870c-4c04-9153-9d9ba7e6a538%2Fqsnyfb5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Evaluate
1² 1² ²
sin(x²/2) dx dy. Change order and get 1-cos2
(6 Let E be the solid bounded on top and bottom by the hemisphere x² + y² + z² = a² and the plane z = 0. E is
bounded on the sides by the cylinder 2² + y² = ay. Sra
√asino Ta².² razardo
√a²r²
Write fff f(x, y, z) dV as a triple integral using cylindrical coordinates.
Let S be the part of the hemisphere ² +21² + 72 - 7² with > > 0 and bounded by r² + 21² = au
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