4. Find the moment of inertia about the origin of a flat, thin metal plate occupying the region D = {(x, y) | 1 ≤ x² + y² ≤ 4, y ≥ 0} and having constant density p(x, y) = 1. 5. Find the area of the part of the paraboloid z = x² + y² lying inside the cylinder x² + y² = (√2)².

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4. Find the moment of inertia about the origin of a flat, thin metal plate occupying the region
D = {(x, y) |1 ≤ x² + y² ≤ 4, y ≥0}
and having constant density p(x, y) = 1.
x² + y² lying inside the cylinder x² + y² = (√2)².
5. Find the area of the part of the paraboloid z = x²
Transcribed Image Text:4. Find the moment of inertia about the origin of a flat, thin metal plate occupying the region D = {(x, y) |1 ≤ x² + y² ≤ 4, y ≥0} and having constant density p(x, y) = 1. x² + y² lying inside the cylinder x² + y² = (√2)². 5. Find the area of the part of the paraboloid z = x²
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