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5. Use a triple integral to find the volume of the solid between the plane z = 1 and the paraboloid z=2-x² - y² in the first octant. Compute the volume and express as an exact value.

5. Use a triple integral to find the volume of the solid between the plane z = 1 and the paraboloid z=2-x² - y² in the first octant. Compute the volume and express as an exact value.

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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Q5, Write on paper only! Give EXACT answers and no decimals.
5. Use a triple integral to find the volume of the solid between the plane z = 1 and the paraboloid z=2-x² - y² in the first octant. Compute the volume and express as an exact value.
Transcribed Image Text:5. Use a triple integral to find the volume of the solid between the plane z = 1 and the paraboloid z=2-x² - y² in the first octant. Compute the volume and express as an exact value.
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Q5 This is incorrect, r goes from 0 to 1 and not 0 to root 2and z bounds are backwards. Please solve correctly thank you 

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