9) Consider the solid Q bounded by the surfaces: S₁: x1 = (z −2)², S₂: y+z=2, S3: x=0, S₁: y=0, S5: z=0 Let C be the boundary of the surface S₁, oriented as shown in the figure. An integral that allows us to determine the value of F.dr, where F(x, y, z) = (yz, xz, x), is:
9) Consider the solid Q bounded by the surfaces: S₁: x1 = (z −2)², S₂: y+z=2, S3: x=0, S₁: y=0, S5: z=0 Let C be the boundary of the surface S₁, oriented as shown in the figure. An integral that allows us to determine the value of F.dr, where F(x, y, z) = (yz, xz, x), is:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![9) Consider the solid Q bounded by the surfaces:
S₁: x1 = (2-2)², S₂: y+z=2, S3: x=0, S₁: y=0, S₁: z=0
Let C be the boundary of the surface S₁, oriented as shown in the figure.
An integral that allows us to determine the value of
[F F. dr, where
F(x, y, z) = (yz, xz, x), is:
A) * ²*~* (-1 − (2 − 2)²) dz dy
r2
2-y
√² √² [−y² − 2 (1 + (x − 2)²) (z − 2)] dz dy
C)
ff (-x,y-1,0)√1+4(z - 2)² dz dy
70
D) *²²²* (1 + (z − 2)²) dz dy
x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb9027ed-a7cd-4af9-80b3-ae2c1df1d725%2Fb9f8c9f6-f442-4a1d-9f28-86c1a272ac01%2Fq2spd8m_processed.png&w=3840&q=75)
Transcribed Image Text:9) Consider the solid Q bounded by the surfaces:
S₁: x1 = (2-2)², S₂: y+z=2, S3: x=0, S₁: y=0, S₁: z=0
Let C be the boundary of the surface S₁, oriented as shown in the figure.
An integral that allows us to determine the value of
[F F. dr, where
F(x, y, z) = (yz, xz, x), is:
A) * ²*~* (-1 − (2 − 2)²) dz dy
r2
2-y
√² √² [−y² − 2 (1 + (x − 2)²) (z − 2)] dz dy
C)
ff (-x,y-1,0)√1+4(z - 2)² dz dy
70
D) *²²²* (1 + (z − 2)²) dz dy
x
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