Use cylindrical coordinates. Evaluate (x + y + z) dV, where E is the solid in the first octant that lies under the paraboloid z = 9 - x2 – y2.
Use cylindrical coordinates. Evaluate (x + y + z) dV, where E is the solid in the first octant that lies under the paraboloid z = 9 - x2 – y2.
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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![**Use cylindrical coordinates.**
Evaluate \[
\iiint\limits_{E} (x + y + z) \, dV,
\]
where \(E\) is the solid in the **first octant** that lies under the paraboloid \(z = 9 - x^2 - y^2\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F763773a4-b59e-428b-8a3f-bc3dd5fb97d6%2F1af60dd3-82d6-42e0-9ea9-cb14ab2466d2%2Fsosd3w_processed.png&w=3840&q=75)
Transcribed Image Text:**Use cylindrical coordinates.**
Evaluate \[
\iiint\limits_{E} (x + y + z) \, dV,
\]
where \(E\) is the solid in the **first octant** that lies under the paraboloid \(z = 9 - x^2 - y^2\).
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