Let D be the region in space enclosed by z =-2x2 - y2 and z = -12 +x2 + 2y2. Our aim is to find the volume of D using triple integral in Cartesian coordinates. By using the order dzdxdy, the limits of integration of z are: -12 + x? + 2y? SzS-2x? - y? -2x2 - y
Let D be the region in space enclosed by z =-2x2 - y2 and z = -12 +x2 + 2y2. Our aim is to find the volume of D using triple integral in Cartesian coordinates. By using the order dzdxdy, the limits of integration of z are: -12 + x? + 2y? SzS-2x? - y? -2x2 - y
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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