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4. Find the volume of the solid bounded by the plane z = 0 and the paraboloid z=1-x² - y². (if using rectangular coordinates, V=ff, (1-x² - y²) dA = ²₁ (1-x² - y²)dydx, which is not easy to evaluate) polar Ich HIU

4. Find the volume of the solid bounded by the plane z = 0 and the paraboloid z=1-x² - y². (if using rectangular coordinates, V=ff, (1-x² - y²) dA = ²₁ (1-x² - y²)dydx, which is not easy to evaluate) polar Ich HIU

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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4. Find the volume of the solid bounded by the plane z = 0 and the paraboloid z=1-x² - y². (if using rectangular coordinates, V=ff, (1-x² - y²) which is not easy to evaluate) dA=₁₁√(1-x² - y²)dydx, 5. Find the volume of the solid bounded by the cylinder x² + y² = 4 and the planes y + z = 4 and z = 0 polar Ic Hlu
Transcribed Image Text:4. Find the volume of the solid bounded by the plane z = 0 and the paraboloid z=1-x² - y². (if using rectangular coordinates, V=ff, (1-x² - y²) which is not easy to evaluate) dA=₁₁√(1-x² - y²)dydx, 5. Find the volume of the solid bounded by the cylinder x² + y² = 4 and the planes y + z = 4 and z = 0 polar Ic Hlu
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