Express by repeated integrals, the volume of the solid bounded above by the plane 2.x + 2y - +1= 0, on the sides by the planes y = x, x 2, y 0, and below by : = 0. 2 x 2x+2y-z+1 b) 0 2 2 x 2x+2y+1 a) [dzdydx įdzdydx 0 0 2 x y c) [ S [(2x + 2y +1)dzdydx 0 0 0 d) dydx 0 0 2 x 2x+2y+1 | [(2x+2y+1)dxdydz 0 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Express by repeated integrals, the volume of the solid bounded above by the plane
2.x + 2y - z + 1 = 0, on the sides by the planes y=x, x 2, y = 0, and below by
z = 0.
2 x 2x+2y+1
a)
2 x 2x+2y-z+1
ſdzdydx
b) S S Jdzdydx
0 0
0 2
2 x y
2 x
OST [(2
0 0 0
d) [[ dydx
+2y +1)dzdydx
0 0
2 x 2x+2y+1
e) | |
|(2x + 2y +1)dxdydz
0 0
Transcribed Image Text:Express by repeated integrals, the volume of the solid bounded above by the plane 2.x + 2y - z + 1 = 0, on the sides by the planes y=x, x 2, y = 0, and below by z = 0. 2 x 2x+2y+1 a) 2 x 2x+2y-z+1 ſdzdydx b) S S Jdzdydx 0 0 0 2 2 x y 2 x OST [(2 0 0 0 d) [[ dydx +2y +1)dzdydx 0 0 2 x 2x+2y+1 e) | | |(2x + 2y +1)dxdydz 0 0
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