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Compute the following integrals: (a) * 2 COS E dr dy. (b) Evaluate the double integral [lnele v)/(z1v)dA where D is the triangle with vertices (0, 0), (1,0) and (0, 1). (c) Compute the volume of the ellipsoid bounded by the surface r + y + z2 - 1, a > 0.

Compute the following integrals: (a) * 2 COS E dr dy. (b) Evaluate the double integral [lnele v)/(z1v)dA where D is the triangle with vertices (0, 0), (1,0) and (0, 1). (c) Compute the volume of the ellipsoid bounded by the surface r + y + z2 - 1, a > 0.

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
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
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Compute the following integrals: (a) / (/2 COSr dr dy. (b) Evaluate the double integral fl,ele v)/(z1v)dA where D is the triangle with vertices (0,0), (1,0) and (0, 1). (c) Compute the volume of the ellipsoid bounded by the surface r + y + z2 - 1, a > 0.
Transcribed Image Text:Compute the following integrals: (a) / (/2 COSr dr dy. (b) Evaluate the double integral fl,ele v)/(z1v)dA where D is the triangle with vertices (0,0), (1,0) and (0, 1). (c) Compute the volume of the ellipsoid bounded by the surface r + y + z2 - 1, a > 0.
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