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Use cylindrical coordinates. Evaluate JJJ x dV, where E is enclosed by the planes z = 0 and z = x + y + 9 and by the cylinders x² + y² = 9 and x² + y² = 25.

Use cylindrical coordinates. Evaluate JJJ x dV, where E is enclosed by the planes z = 0 and z = x + y + 9 and by the cylinders x² + y² = 9 and x² + y² = 25.

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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Use cylindrical coordinates.
Evaluate 
 
 
E
x dV,
 where E is enclosed by the planes z = 0 and 
z = x + y + 9
 and by the cylinders 
x2 + y2 = 9 and x2 + y2 = 25.
Use cylindrical coordinates. Evaluate \(\iiint_E x \, dV\), where \(E\) is enclosed by the planes \(z = 0\) and \(z = x + y + 9\) and by the cylinders \(x^2 + y^2 = 9\) and \(x^2 + y^2 = 25\).
Transcribed Image Text:Use cylindrical coordinates. Evaluate \(\iiint_E x \, dV\), where \(E\) is enclosed by the planes \(z = 0\) and \(z = x + y + 9\) and by the cylinders \(x^2 + y^2 = 9\) and \(x^2 + y^2 = 25\).
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