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: An integral that allows to determine the value of where F(x, y, z) = (xz, z, y), is: [F.dr, C A) ²²-2 (y - 2) dy dz -2-z B) ² ²² - 2x (y — 2) dy dx -2-2 C) ) ²² (0,2,0) · √/4(y - 2)² + 1 dy dz . 2 ·2-2 D) ²² (-2(1 + (y − 2)²³) (y − 2) + y) dx dy 70

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
So
An integral that allows to determine the value of
where F(x, y, z) = (xz, z, y), is:
-2
2-z
A) √²²² - 2 (y - 2) dy da
2 c2-z
B)
²² - 2x (y - 2) dy dx
0
2-z
²² (0,2,0) - √4(y - 2)² + 1 dy dz
2 p2-r
*³*²* (−2(1 + (y − 2)²¹) (y − 2) + y) dz dy
-
0
D)
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 So An integral that allows to determine the value of where F(x, y, z) = (xz, z, y), is: -2 2-z A) √²²² - 2 (y - 2) dy da 2 c2-z B) ²² - 2x (y - 2) dy dx 0 2-z ²² (0,2,0) - √4(y - 2)² + 1 dy dz 2 p2-r *³*²* (−2(1 + (y − 2)²¹) (y − 2) + y) dz dy - 0 D) F. dr.
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