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2. Evaluate fff 2xdV, where G is the solid enclosed by the planes x + y + z = 1 and z = 0 and the paraboloid cylinder y 1x².

2. Evaluate fff 2xdV, where G is the solid enclosed by the planes x + y + z = 1 and z = 0 and the paraboloid cylinder y 1x².

Elementary Geometry For College Students, 7e
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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Find the surface area of the portion of the paraboloid z = x² + y² below the plane z = 1. 2. Evaluate fff 2xdV, where G is the solid enclosed by the planes x + y + z = 1 and z = 0 and the paraboloid cylinder y 1x². = 3. Find the volume of the solid bounded by planes z = -3, z = x and the cylinder x² + y² = 4.
Transcribed Image Text:Find the surface area of the portion of the paraboloid z = x² + y² below the plane z = 1. 2. Evaluate fff 2xdV, where G is the solid enclosed by the planes x + y + z = 1 and z = 0 and the paraboloid cylinder y 1x². = 3. Find the volume of the solid bounded by planes z = -3, z = x and the cylinder x² + y² = 4.
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