Express by repeated integrals, the volume of the solid bounded above by the plane 2r 2y-+1=0, on the sides by the planes y =x, x 2, y= 0, and below by 2 x 2x+2y-z+ b) [ [ [dzdydx 00 0 2 2x v O|||2x+2y-1)dzdvdx d) [ dydx 000 0 0 2x 2x-2y+1 J 2r+21+ 1)drdvdz 00

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.CR: Chapter 8 Review
Problem 11CR
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Express by repeated integrals, the volume of the solid bounded above by the plane
2r+2y-z+1=0, on the sides by the planes y =xr, x= 2, y = 0, and below by
%3D
3=0.
x 2x+2y+1
2x 2x+2y-z+1
b) [ | [dzdydx
00
0 2
2x
2 x
(ex+2y+1)dzdydx
d) | dydx
000
0 0
2 x 2x+2y+
oj fer 2y+Dddydz
|2x+2y +1)drdyd:
00
Transcribed Image Text:Express by repeated integrals, the volume of the solid bounded above by the plane 2r+2y-z+1=0, on the sides by the planes y =xr, x= 2, y = 0, and below by %3D 3=0. x 2x+2y+1 2x 2x+2y-z+1 b) [ | [dzdydx 00 0 2 2x 2 x (ex+2y+1)dzdydx d) | dydx 000 0 0 2 x 2x+2y+ oj fer 2y+Dddydz |2x+2y +1)drdyd: 00
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