An integral that allows determining the value ofS,ƒ · dr,where F (x, y, z) = (-xz, yZ y), is: IT 2-(1 – 3) dy dz A) B) (1 – y, –1,0) - V4r² +I dy dr 2-z c) I (-21°(2² +1) + y) dy d. D) || -2r(1– y) dy dr

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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Consider the solid Q bounded by the surfaces S1: z - 1 = x2 , S2: x + y = 2, S3: x = 0, S4: y = 0, S5: z = 0

Let C be the boundary of the surface S1, oriented as shown in the following figure:

the figure is in the first attached image

the answers are in the second image

An integral that allows determining the value of cf:
dr,where F (x, y, z) = (-xz, XZ, y), is:
A)
I 20(1 – 9) dy dr
-2
r2-z
B)
(1 – y, –x, 0) · 4x² + 1 dy dx
-2
2-z
C)
IT (-21°(x² + 1) + y) dy dæ
-2
-2-z
D) || -2x(1 – y) dy dr
Transcribed Image Text:An integral that allows determining the value of cf: dr,where F (x, y, z) = (-xz, XZ, y), is: A) I 20(1 – 9) dy dr -2 r2-z B) (1 – y, –x, 0) · 4x² + 1 dy dx -2 2-z C) IT (-21°(x² + 1) + y) dy dæ -2 -2-z D) || -2x(1 – y) dy dr
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