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Match the following integrals with the verbal descriptions of the solids whose volumes they give. Put the letter of the verbal description to the left of the corresponding integral. D 1. S' S 2. 4x²+3y² dzdy 2 4+√√4-x2 4x + 3y dydx C 2 2 A 3. 4-y² dyda 1-3y² E 4. 14x23y2 dxdy 0 √1-x2 B 5. LSV 1-22-y² dydz √1-x2 A. One half of a cylindrical rod. B. Solid bounded by a circular paraboloid and a plane. C. Solid under a plane and over one half of a circular disk. D. Solid under an elliptic paraboloid and over a planar region bounded by two parabolas. E. One eighth of an ellipsoid.

Match the following integrals with the verbal descriptions of the solids whose volumes they give. Put the letter of the verbal description to the left of the corresponding integral. D 1. S' S 2. 4x²+3y² dzdy 2 4+√√4-x2 4x + 3y dydx C 2 2 A 3. 4-y² dyda 1-3y² E 4. 14x23y2 dxdy 0 √1-x2 B 5. LSV 1-22-y² dydz √1-x2 A. One half of a cylindrical rod. B. Solid bounded by a circular paraboloid and a plane. C. Solid under a plane and over one half of a circular disk. D. Solid under an elliptic paraboloid and over a planar region bounded by two parabolas. E. One eighth of an ellipsoid.

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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Match the following integrals with the verbal descriptions of the solids whose volumes they give. Put the letter of the verbal description to the left of the corresponding integral. D 1. S' S 2. 4x²+3y² dzdy 2 4+√√4-x2 4x + 3y dydx C 2 2 A 3. 4-y² dyda 1-3y² E 4. 14x23y2 dxdy 0 √1-x2 B 5. LSV 1-22-y² dydz √1-x2 A. One half of a cylindrical rod. B. Solid bounded by a circular paraboloid and a plane. C. Solid under a plane and over one half of a circular disk. D. Solid under an elliptic paraboloid and over a planar region bounded by two parabolas. E. One eighth of an ellipsoid.
Transcribed Image Text:Match the following integrals with the verbal descriptions of the solids whose volumes they give. Put the letter of the verbal description to the left of the corresponding integral. D 1. S' S 2. 4x²+3y² dzdy 2 4+√√4-x2 4x + 3y dydx C 2 2 A 3. 4-y² dyda 1-3y² E 4. 14x23y2 dxdy 0 √1-x2 B 5. LSV 1-22-y² dydz √1-x2 A. One half of a cylindrical rod. B. Solid bounded by a circular paraboloid and a plane. C. Solid under a plane and over one half of a circular disk. D. Solid under an elliptic paraboloid and over a planar region bounded by two parabolas. E. One eighth of an ellipsoid.
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