Express [[[ydV in cylindrical coordinates, where 2 is the solid that lies between cylinders x +y = 1 and x +y 4, above the xy-plane and below the plane :=x+ 4. 2 2 rcoso+4 SS P sin@dz dr de 27 2 rcose+4 b) frsin@dz dr de 0 1 01 2л 2 rsind 27 2 r c) (rcos0 + 4)dz dr de 01 0 d) [ sin e dz dr de 0 1 0 2л 2 e) S frsin odz dr de 010

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 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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MEDIA
Express [[[ydV in cylindrical coordinates, where Q is the solid that lies between
cylinders x +1 = 1 and x? + = 4, above the xy-plane and below the plane
:=r+4.
2r 2 rcose+4
a)
!! Psin@dzdrde
27 2 rcose+4
b) | frsinedz dr de
0 1
21 2 rsine
c) [ | ((rcose + 4)dz dr de
0 1
d) rsin @dz dr de
0 1 0
2x 2 r
e) [ [rsimodz drde
0 10
Transcribed Image Text:MEDIA Express [[[ydV in cylindrical coordinates, where Q is the solid that lies between cylinders x +1 = 1 and x? + = 4, above the xy-plane and below the plane :=r+4. 2r 2 rcose+4 a) !! Psin@dzdrde 27 2 rcose+4 b) | frsinedz dr de 0 1 21 2 rsine c) [ | ((rcose + 4)dz dr de 0 1 d) rsin @dz dr de 0 1 0 2x 2 r e) [ [rsimodz drde 0 10
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