3. A region in the first octant is bounded by the cylinder x² + z² = 4 and the plane y = 3. Set up the integrals for its volume in the order (a) dx dy dz, (b) dz dx dy, and (c) dy dz dx.
3. A region in the first octant is bounded by the cylinder x² + z² = 4 and the plane y = 3. Set up the integrals for its volume in the order (a) dx dy dz, (b) dz dx dy, and (c) dy dz dx.
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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Transcribed Image Text:= 4 and the plane y
3. A region in the first octant is bounded by the cylinder x² + z²
up the integrals for its volume in the order (a) dx dy dz, (b) dz dx dy, and (c) dy dz dx.
=
3. Set
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