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.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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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.
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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