Find the volume of the solid that lies under the elliptic paraboloid

1) x²/9 + y²/16 + z = 1 and above the rectangle R = [?1, 1] Ã [?3, 3]

2) Find the volume of the solid enclosed by the paraboloid z = 5 + x² + (y ? 2)² and the planes z = 1, x = ?3, x = 3, y = 0, and y = 4.

Question

Find the volume of the solid that lies under the elliptic paraboloid

1) x²/9 + y²/16 + z = 1 and above the rectangle R = [?1, 1] Ã [?3, 3]

2) Find the volume of the solid enclosed by the paraboloid z = 5 + x² + (y ? 2)² and the planes z = 1, x = ?3, x = 3, y = 0, and y = 4.

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