Express [||y dV in cylindrical coordinates, where 2 is the solid that lies between cylinders x +y = 1 and r+y = 4, above the xy-plane and below the plane :=x+4. 27 2 rcose+4 b) [ 27 2 rcoso+4 a) I 0 1 [r' sin edz dr de Srsin e dz dr de 0 1 27 2 rsine 27 2 r c) [rcose+ 4)dz dr de 0 1 0 d) [ S fr sinedz dr de 0 1 0 2л 2 r e) [ frsin edz dr de 0 1 0
Express [||y dV in cylindrical coordinates, where 2 is the solid that lies between cylinders x +y = 1 and r+y = 4, above the xy-plane and below the plane :=x+4. 27 2 rcose+4 b) [ 27 2 rcoso+4 a) I 0 1 [r' sin edz dr de Srsin e dz dr de 0 1 27 2 rsine 27 2 r c) [rcose+ 4)dz dr de 0 1 0 d) [ S fr sinedz dr de 0 1 0 2л 2 r e) [ frsin edz dr de 0 1 0
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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Transcribed Image Text:Express |||y d V in cylindrical coordinates, where 2 is the solid that lies between
cylinders x +y = 1 and x +y = 4, above the ry-plane and below the plane
:=x+4.
27 2 rcose+4
27 2 rcose+4
a) [r sinedz dr de
b) | ſrsinO dz drde
0 1
0 1
27 2 rsine
27 2 r
.2
c) [(rcose+ 4)dz dr de
d) [r sin edz dr de
0 1
0 1 0
2л 2 r
e) frsinedz dr de
0 1 0
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