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2. From the integrals below, show all your all calculations to identify which gives the largest and which gives the smallest values: (a) y u dV, where E is the solid bounded by the parabolic cylinder z = x² and the planes y = 0 and 2 = 9 - 2y (b) ₂ edV where E is enclosed by the paraboloid z = 4 + x² + y², the cylinder x² + y² = 1, and the xy plane. 1 ⒸIJ x2 + y² +22dV, where E lies between the spheres a² + y² + 229 and a² + y² + 2² 16 in the first octant.

2. From the integrals below, show all your all calculations to identify which gives the largest and which gives the smallest values: (a) y u dV, where E is the solid bounded by the parabolic cylinder z = x² and the planes y = 0 and 2 = 9 - 2y (b) ₂ edV where E is enclosed by the paraboloid z = 4 + x² + y², the cylinder x² + y² = 1, and the xy plane. 1 ⒸIJ x2 + y² +22dV, where E lies between the spheres a² + y² + 229 and a² + y² + 2² 16 in the first octant.

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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2. From the integrals below, show all your all calculations to identify which gives the largest and which gives the smallest values: y dV, where E is the solid bounded by the parabolic cylinder z = x² and the planes y = 0 and z = 9 - 2y (b) J edV where E is enclosed by the paraboloid z = 4 + x² + y², the cylinder x² + y² = 1, and the xry plane. (c) J 2² - 1 x² + y² + z2dV, where E lies between the spheres x² + y² + 9 and a² + y² + 2 = 16 in the first octant. 2
Transcribed Image Text:2. From the integrals below, show all your all calculations to identify which gives the largest and which gives the smallest values: y dV, where E is the solid bounded by the parabolic cylinder z = x² and the planes y = 0 and z = 9 - 2y (b) J edV where E is enclosed by the paraboloid z = 4 + x² + y², the cylinder x² + y² = 1, and the xry plane. (c) J 2² - 1 x² + y² + z2dV, where E lies between the spheres x² + y² + 9 and a² + y² + 2 = 16 in the first octant. 2
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