1. Let E be the region bounded by the plane z = 0, above by the sphere x + y + z² = 4 and on the sides by the cylinder x + y = 1. Set up the integrals, using cylindrical coordinates that give the volume of E using the following orders of integration: a) dzdrd, b) drdzd0,c) d@dzdr %3D

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 23E
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1. Let E be the region bounded by the plane z = 0, above by the sphere x? + y? + z² = 4 and on the sides by
the cylinder x? + y? = 1. Set up the integrals, using cylindrical coordinates that give the volume of E using the
following orders of integration: a) dzdrde,b) drdzde,c) dodzdr
Transcribed Image Text:1. Let E be the region bounded by the plane z = 0, above by the sphere x? + y? + z² = 4 and on the sides by the cylinder x? + y? = 1. Set up the integrals, using cylindrical coordinates that give the volume of E using the following orders of integration: a) dzdrde,b) drdzde,c) dodzdr
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