Consider the solid Q bounded by the surfaces S₁: Z-1 = (y-2)², S₂ : x + y = 2, S3 : x = 0, S4 : y = 0, S5 : z = 0 Let C be the boundary of surface S1, oriented as shown in the figure below: x Jo An integral that allows to determine the value of where F(x, y, z) = (xz, z, y), is: A) *²²²-2(y - 2) dy da -2-1 B) √²²² - 2x (y-2) dy dz dx (0, x, 0)√4(y-2)² + 1 dy dx 2 D) (² ²-² (−2(1 + (y − 2)²³) (y − 2) + y) dx dy F. dr.

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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Consider the solid Q bounded by the surfaces
S₁: Z-1 = (y-2)², S₂ : x + y = 2, S3 : x = 0, S4 : y = 0, S5 : z = 0
Let C be the boundary of surface S1, oriented as shown in the figure below:
x
Jo
An integral that allows to determine the value of
where F(x, y, z) = (xz, z, y), is:
2-2
A) S
²²²
-2(y-2) dy dx
2-1
B)
√²²² -2x (y-2) dy dx
C)
D)
(0, x, 0)√4(y-2)² + 1 dy dx
S
²² (-2(1 + (y − 2)²³) (y − 2) + y) dx dy
F. dr.
Transcribed Image Text:Consider the solid Q bounded by the surfaces S₁: Z-1 = (y-2)², S₂ : x + y = 2, S3 : x = 0, S4 : y = 0, S5 : z = 0 Let C be the boundary of surface S1, oriented as shown in the figure below: x Jo An integral that allows to determine the value of where F(x, y, z) = (xz, z, y), is: 2-2 A) S ²²² -2(y-2) dy dx 2-1 B) √²²² -2x (y-2) dy dx C) D) (0, x, 0)√4(y-2)² + 1 dy dx S ²² (-2(1 + (y − 2)²³) (y − 2) + y) dx dy F. dr.
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