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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) dzdrd, b) drdzd0,c) d@dzdr %3D

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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