Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Choose which integral represents the volume of the solid shown in the graph and integrate this expression
x^2+y^2=4
y^2+z^2=4
2
}
-2
4
8
√4-y²
0
S
-√4-y²
2 √4-y²
√4-y²dydx
| √4-y²dxdy
2 √4-x²
8 [ [ √4-x²dydx
0
0
y
z=4-y
2
2 √4-x²
0 0
2 √4-x²
S
|
-2 0
H
Z
2 4-y²
²!! √
2
-2
0
z=0
CH
-
x^2+y^2=4
(4- y)dydx
tt
(4 - y)dydx
#
(4- y)dxdy
y
expand button
Transcribed Image Text:Choose which integral represents the volume of the solid shown in the graph and integrate this expression x^2+y^2=4 y^2+z^2=4 2 } -2 4 8 √4-y² 0 S -√4-y² 2 √4-y² √4-y²dydx | √4-y²dxdy 2 √4-x² 8 [ [ √4-x²dydx 0 0 y z=4-y 2 2 √4-x² 0 0 2 √4-x² S | -2 0 H Z 2 4-y² ²!! √ 2 -2 0 z=0 CH - x^2+y^2=4 (4- y)dydx tt (4 - y)dydx # (4- y)dxdy y
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