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1) SET UP fff xz d xz dV where E is the solid above z = 2x² + 2y² and below z =. E Sketch the solid of integration E and the projection region of integration. Use cylindrical coordinates. Do not evaluate.

1) SET UP fff xz d xz dV where E is the solid above z = 2x² + 2y² and below z =. E Sketch the solid of integration E and the projection region of integration. Use cylindrical coordinates. Do not evaluate.

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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To **SET UP** an integral, all bounds of integration and the order of integration must be included, and the integrand should be simplified as much as possible. If a problem does not say set up, then the integral should be evaluated completely. Don't forget to start with the original given integral! 1) **SET UP** \(\int\int\int_E xz \, dV\) where \(E\) is the solid above \(z = 2x^2 + 2y^2\) and below \(z = \sqrt{x^2 + y^2}\). Sketch the solid of integration \(E\) and the projection region of integration. Use cylindrical coordinates. Do not evaluate.
Transcribed Image Text:To **SET UP** an integral, all bounds of integration and the order of integration must be included, and the integrand should be simplified as much as possible. If a problem does not say set up, then the integral should be evaluated completely. Don't forget to start with the original given integral! 1) **SET UP** \(\int\int\int_E xz \, dV\) where \(E\) is the solid above \(z = 2x^2 + 2y^2\) and below \(z = \sqrt{x^2 + y^2}\). Sketch the solid of integration \(E\) and the projection region of integration. Use cylindrical coordinates. Do not evaluate.
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