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 4 ·[ [_ √4- y² dydx 4-y² 2√√4-y² 8 [] 0 0 √4-y²dxdy 2 √4-x² 8 IT [[ √4-x²dydx z=4-y 2 √4-x² IT 4 0 0 2 √4-x² √ (4-y)dydx 2[] -2 0 z=0 2 √√4-y² ² [[ 2 -2 0 x^2+y^2=4 (4- y)dydx (4- y)dxdy
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 4 ·[ [_ √4- y² dydx 4-y² 2√√4-y² 8 [] 0 0 √4-y²dxdy 2 √4-x² 8 IT [[ √4-x²dydx z=4-y 2 √4-x² IT 4 0 0 2 √4-x² √ (4-y)dydx 2[] -2 0 z=0 2 √√4-y² ² [[ 2 -2 0 x^2+y^2=4 (4- y)dydx (4- y)dxdy
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 22CR
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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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